diff options
| author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-02-13 15:27:22 -0600 |
|---|---|---|
| committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-02-13 15:27:22 -0600 |
| commit | 9eea7b4930f6f85e477139187eb93e4cef2bef3d (patch) | |
| tree | 5a1283291ceed40abbeece2695535b707814e0ce | |
| parent | 76d87a0dd9b19a671d422fcefc17c7aabd223c08 (diff) | |
Update auto-generated code
188 files changed, 18016 insertions, 15877 deletions
diff --git a/ML_ADM/src/Differencing.h b/ML_ADM/src/Differencing.h index ae119d2..aa21060 100644 --- a/ML_ADM/src/Differencing.h +++ b/ML_ADM/src/Differencing.h @@ -1,12 +1,12 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) diff --git a/ML_ADM/src/ML_ADM_Minkowski.c b/ML_ADM/src/ML_ADM_Minkowski.c index 4420395..ace3b38 100644 --- a/ML_ADM/src/ML_ADM_Minkowski.c +++ b/ML_ADM/src/ML_ADM_Minkowski.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,18 +87,18 @@ void ML_ADM_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; - CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -116,37 +114,37 @@ void ML_ADM_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - g11L = 1; + CCTK_REAL const g11L = 1; - g12L = 0; + CCTK_REAL const g12L = 0; - g13L = 0; + CCTK_REAL const g13L = 0; - g22L = 1; + CCTK_REAL const g22L = 1; - g23L = 0; + CCTK_REAL const g23L = 0; - g33L = 1; + CCTK_REAL const g33L = 1; - K11L = 0; + CCTK_REAL const K11L = 0; - K12L = 0; + CCTK_REAL const K12L = 0; - K13L = 0; + CCTK_REAL const K13L = 0; - K22L = 0; + CCTK_REAL const K22L = 0; - K23L = 0; + CCTK_REAL const K23L = 0; - K33L = 0; + CCTK_REAL const K33L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_ADM/src/ML_ADM_RHS.c b/ML_ADM/src/ML_ADM_RHS.c index 8c25677..4170199 100644 --- a/ML_ADM/src/ML_ADM_RHS.c +++ b/ML_ADM/src/ML_ADM_RHS.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT cons /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,404 +87,404 @@ void ML_ADM_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT cons i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detg = INITVALUE; - CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; - CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; - CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE; - CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; - CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL trK = INITVALUE; + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE; + // CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL g11L = INITVALUE, g11rhsL = INITVALUE, g12L = INITVALUE, g12rhsL = INITVALUE, g13L = INITVALUE, g13rhsL = INITVALUE; - CCTK_REAL g22L = INITVALUE, g22rhsL = INITVALUE, g23L = INITVALUE, g23rhsL = INITVALUE, g33L = INITVALUE, g33rhsL = INITVALUE; - CCTK_REAL K11L = INITVALUE, K11rhsL = INITVALUE, K12L = INITVALUE, K12rhsL = INITVALUE, K13L = INITVALUE, K13rhsL = INITVALUE; - CCTK_REAL K22L = INITVALUE, K22rhsL = INITVALUE, K23L = INITVALUE, K23rhsL = INITVALUE, K33L = INITVALUE, K33rhsL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g11rhsL = INITVALUE, g12L = INITVALUE, g12rhsL = INITVALUE, g13L = INITVALUE, g13rhsL = INITVALUE; + // CCTK_REAL g22L = INITVALUE, g22rhsL = INITVALUE, g23L = INITVALUE, g23rhsL = INITVALUE, g33L = INITVALUE, g33rhsL = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K11rhsL = INITVALUE, K12L = INITVALUE, K12rhsL = INITVALUE, K13L = INITVALUE, K13rhsL = INITVALUE; + // CCTK_REAL K22L = INITVALUE, K22rhsL = INITVALUE, K23L = INITVALUE, K23rhsL = INITVALUE, K33L = INITVALUE, K33rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1alpha = INITVALUE; - CCTK_REAL PDstandardNth2alpha = INITVALUE; - CCTK_REAL PDstandardNth3alpha = INITVALUE; - CCTK_REAL PDstandardNth11alpha = INITVALUE; - CCTK_REAL PDstandardNth22alpha = INITVALUE; - CCTK_REAL PDstandardNth33alpha = INITVALUE; - CCTK_REAL PDstandardNth12alpha = INITVALUE; - CCTK_REAL PDstandardNth13alpha = INITVALUE; - CCTK_REAL PDstandardNth23alpha = INITVALUE; - CCTK_REAL PDstandardNth1beta1 = INITVALUE; - CCTK_REAL PDstandardNth2beta1 = INITVALUE; - CCTK_REAL PDstandardNth3beta1 = INITVALUE; - CCTK_REAL PDstandardNth1beta2 = INITVALUE; - CCTK_REAL PDstandardNth2beta2 = INITVALUE; - CCTK_REAL PDstandardNth3beta2 = INITVALUE; - CCTK_REAL PDstandardNth1beta3 = INITVALUE; - CCTK_REAL PDstandardNth2beta3 = INITVALUE; - CCTK_REAL PDstandardNth3beta3 = INITVALUE; - CCTK_REAL PDstandardNth1g11 = INITVALUE; - CCTK_REAL PDstandardNth2g11 = INITVALUE; - CCTK_REAL PDstandardNth3g11 = INITVALUE; - CCTK_REAL PDstandardNth22g11 = INITVALUE; - CCTK_REAL PDstandardNth33g11 = INITVALUE; - CCTK_REAL PDstandardNth23g11 = INITVALUE; - CCTK_REAL PDstandardNth1g12 = INITVALUE; - CCTK_REAL PDstandardNth2g12 = INITVALUE; - CCTK_REAL PDstandardNth3g12 = INITVALUE; - CCTK_REAL PDstandardNth33g12 = INITVALUE; - CCTK_REAL PDstandardNth12g12 = INITVALUE; - CCTK_REAL PDstandardNth13g12 = INITVALUE; - CCTK_REAL PDstandardNth23g12 = INITVALUE; - CCTK_REAL PDstandardNth1g13 = INITVALUE; - CCTK_REAL PDstandardNth2g13 = INITVALUE; - CCTK_REAL PDstandardNth3g13 = INITVALUE; - CCTK_REAL PDstandardNth22g13 = INITVALUE; - CCTK_REAL PDstandardNth12g13 = INITVALUE; - CCTK_REAL PDstandardNth13g13 = INITVALUE; - CCTK_REAL PDstandardNth23g13 = INITVALUE; - CCTK_REAL PDstandardNth1g22 = INITVALUE; - CCTK_REAL PDstandardNth2g22 = INITVALUE; - CCTK_REAL PDstandardNth3g22 = INITVALUE; - CCTK_REAL PDstandardNth11g22 = INITVALUE; - CCTK_REAL PDstandardNth33g22 = INITVALUE; - CCTK_REAL PDstandardNth13g22 = INITVALUE; - CCTK_REAL PDstandardNth1g23 = INITVALUE; - CCTK_REAL PDstandardNth2g23 = INITVALUE; - CCTK_REAL PDstandardNth3g23 = INITVALUE; - CCTK_REAL PDstandardNth11g23 = INITVALUE; - CCTK_REAL PDstandardNth12g23 = INITVALUE; - CCTK_REAL PDstandardNth13g23 = INITVALUE; - CCTK_REAL PDstandardNth23g23 = INITVALUE; - CCTK_REAL PDstandardNth1g33 = INITVALUE; - CCTK_REAL PDstandardNth2g33 = INITVALUE; - CCTK_REAL PDstandardNth3g33 = INITVALUE; - CCTK_REAL PDstandardNth11g33 = INITVALUE; - CCTK_REAL PDstandardNth22g33 = INITVALUE; - CCTK_REAL PDstandardNth12g33 = INITVALUE; - CCTK_REAL PDstandardNth1K11 = INITVALUE; - CCTK_REAL PDstandardNth2K11 = INITVALUE; - CCTK_REAL PDstandardNth3K11 = INITVALUE; - CCTK_REAL PDstandardNth1K12 = INITVALUE; - CCTK_REAL PDstandardNth2K12 = INITVALUE; - CCTK_REAL PDstandardNth3K12 = INITVALUE; - CCTK_REAL PDstandardNth1K13 = INITVALUE; - CCTK_REAL PDstandardNth2K13 = INITVALUE; - CCTK_REAL PDstandardNth3K13 = INITVALUE; - CCTK_REAL PDstandardNth1K22 = INITVALUE; - CCTK_REAL PDstandardNth2K22 = INITVALUE; - CCTK_REAL PDstandardNth3K22 = INITVALUE; - CCTK_REAL PDstandardNth1K23 = INITVALUE; - CCTK_REAL PDstandardNth2K23 = INITVALUE; - CCTK_REAL PDstandardNth3K23 = INITVALUE; - CCTK_REAL PDstandardNth1K33 = INITVALUE; - CCTK_REAL PDstandardNth2K33 = INITVALUE; - CCTK_REAL PDstandardNth3K33 = INITVALUE; + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1g11 = INITVALUE; + // CCTK_REAL PDstandardNth2g11 = INITVALUE; + // CCTK_REAL PDstandardNth3g11 = INITVALUE; + // CCTK_REAL PDstandardNth22g11 = INITVALUE; + // CCTK_REAL PDstandardNth33g11 = INITVALUE; + // CCTK_REAL PDstandardNth23g11 = INITVALUE; + // CCTK_REAL PDstandardNth1g12 = INITVALUE; + // CCTK_REAL PDstandardNth2g12 = INITVALUE; + // CCTK_REAL PDstandardNth3g12 = INITVALUE; + // CCTK_REAL PDstandardNth33g12 = INITVALUE; + // CCTK_REAL PDstandardNth12g12 = INITVALUE; + // CCTK_REAL PDstandardNth13g12 = INITVALUE; + // CCTK_REAL PDstandardNth23g12 = INITVALUE; + // CCTK_REAL PDstandardNth1g13 = INITVALUE; + // CCTK_REAL PDstandardNth2g13 = INITVALUE; + // CCTK_REAL PDstandardNth3g13 = INITVALUE; + // CCTK_REAL PDstandardNth22g13 = INITVALUE; + // CCTK_REAL PDstandardNth12g13 = INITVALUE; + // CCTK_REAL PDstandardNth13g13 = INITVALUE; + // CCTK_REAL PDstandardNth23g13 = INITVALUE; + // CCTK_REAL PDstandardNth1g22 = INITVALUE; + // CCTK_REAL PDstandardNth2g22 = INITVALUE; + // CCTK_REAL PDstandardNth3g22 = INITVALUE; + // CCTK_REAL PDstandardNth11g22 = INITVALUE; + // CCTK_REAL PDstandardNth33g22 = INITVALUE; + // CCTK_REAL PDstandardNth13g22 = INITVALUE; + // CCTK_REAL PDstandardNth1g23 = INITVALUE; + // CCTK_REAL PDstandardNth2g23 = INITVALUE; + // CCTK_REAL PDstandardNth3g23 = INITVALUE; + // CCTK_REAL PDstandardNth11g23 = INITVALUE; + // CCTK_REAL PDstandardNth12g23 = INITVALUE; + // CCTK_REAL PDstandardNth13g23 = INITVALUE; + // CCTK_REAL PDstandardNth23g23 = INITVALUE; + // CCTK_REAL PDstandardNth1g33 = INITVALUE; + // CCTK_REAL PDstandardNth2g33 = INITVALUE; + // CCTK_REAL PDstandardNth3g33 = INITVALUE; + // CCTK_REAL PDstandardNth11g33 = INITVALUE; + // CCTK_REAL PDstandardNth22g33 = INITVALUE; + // CCTK_REAL PDstandardNth12g33 = INITVALUE; + // CCTK_REAL PDstandardNth1K11 = INITVALUE; + // CCTK_REAL PDstandardNth2K11 = INITVALUE; + // CCTK_REAL PDstandardNth3K11 = INITVALUE; + // CCTK_REAL PDstandardNth1K12 = INITVALUE; + // CCTK_REAL PDstandardNth2K12 = INITVALUE; + // CCTK_REAL PDstandardNth3K12 = INITVALUE; + // CCTK_REAL PDstandardNth1K13 = INITVALUE; + // CCTK_REAL PDstandardNth2K13 = INITVALUE; + // CCTK_REAL PDstandardNth3K13 = INITVALUE; + // CCTK_REAL PDstandardNth1K22 = INITVALUE; + // CCTK_REAL PDstandardNth2K22 = INITVALUE; + // CCTK_REAL PDstandardNth3K22 = INITVALUE; + // CCTK_REAL PDstandardNth1K23 = INITVALUE; + // CCTK_REAL PDstandardNth2K23 = INITVALUE; + // CCTK_REAL PDstandardNth3K23 = INITVALUE; + // CCTK_REAL PDstandardNth1K33 = INITVALUE; + // CCTK_REAL PDstandardNth2K33 = INITVALUE; + // CCTK_REAL PDstandardNth3K33 = INITVALUE; /* Assign local copies of grid functions */ - alphaL = alpha[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - g11L = g11[index]; - g12L = g12[index]; - g13L = g13[index]; - g22L = g22[index]; - g23L = g23[index]; - g33L = g33[index]; - K11L = K11[index]; - K12L = K12[index]; - K13L = K13[index]; - K22L = K22[index]; - K23L = K23[index]; - K33L = K33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const g11L = g11[index]; + CCTK_REAL const g12L = g12[index]; + CCTK_REAL const g13L = g13[index]; + CCTK_REAL const g22L = g22[index]; + CCTK_REAL const g23L = g23[index]; + CCTK_REAL const g33L = g33[index]; + CCTK_REAL const K11L = K11[index]; + CCTK_REAL const K12L = K12[index]; + CCTK_REAL const K13L = K13[index]; + CCTK_REAL const K22L = K22[index]; + CCTK_REAL const K23L = K23[index]; + CCTK_REAL const K33L = K33[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - PDstandardNth1g11 = PDstandardNth1(g11, i, j, k); - PDstandardNth2g11 = PDstandardNth2(g11, i, j, k); - PDstandardNth3g11 = PDstandardNth3(g11, i, j, k); - PDstandardNth22g11 = PDstandardNth22(g11, i, j, k); - PDstandardNth33g11 = PDstandardNth33(g11, i, j, k); - PDstandardNth23g11 = PDstandardNth23(g11, i, j, k); - PDstandardNth1g12 = PDstandardNth1(g12, i, j, k); - PDstandardNth2g12 = PDstandardNth2(g12, i, j, k); - PDstandardNth3g12 = PDstandardNth3(g12, i, j, k); - PDstandardNth33g12 = PDstandardNth33(g12, i, j, k); - PDstandardNth12g12 = PDstandardNth12(g12, i, j, k); - PDstandardNth13g12 = PDstandardNth13(g12, i, j, k); - PDstandardNth23g12 = PDstandardNth23(g12, i, j, k); - PDstandardNth1g13 = PDstandardNth1(g13, i, j, k); - PDstandardNth2g13 = PDstandardNth2(g13, i, j, k); - PDstandardNth3g13 = PDstandardNth3(g13, i, j, k); - PDstandardNth22g13 = PDstandardNth22(g13, i, j, k); - PDstandardNth12g13 = PDstandardNth12(g13, i, j, k); - PDstandardNth13g13 = PDstandardNth13(g13, i, j, k); - PDstandardNth23g13 = PDstandardNth23(g13, i, j, k); - PDstandardNth1g22 = PDstandardNth1(g22, i, j, k); - PDstandardNth2g22 = PDstandardNth2(g22, i, j, k); - PDstandardNth3g22 = PDstandardNth3(g22, i, j, k); - PDstandardNth11g22 = PDstandardNth11(g22, i, j, k); - PDstandardNth33g22 = PDstandardNth33(g22, i, j, k); - PDstandardNth13g22 = PDstandardNth13(g22, i, j, k); - PDstandardNth1g23 = PDstandardNth1(g23, i, j, k); - PDstandardNth2g23 = PDstandardNth2(g23, i, j, k); - PDstandardNth3g23 = PDstandardNth3(g23, i, j, k); - PDstandardNth11g23 = PDstandardNth11(g23, i, j, k); - PDstandardNth12g23 = PDstandardNth12(g23, i, j, k); - PDstandardNth13g23 = PDstandardNth13(g23, i, j, k); - PDstandardNth23g23 = PDstandardNth23(g23, i, j, k); - PDstandardNth1g33 = PDstandardNth1(g33, i, j, k); - PDstandardNth2g33 = PDstandardNth2(g33, i, j, k); - PDstandardNth3g33 = PDstandardNth3(g33, i, j, k); - PDstandardNth11g33 = PDstandardNth11(g33, i, j, k); - PDstandardNth22g33 = PDstandardNth22(g33, i, j, k); - PDstandardNth12g33 = PDstandardNth12(g33, i, j, k); - PDstandardNth1K11 = PDstandardNth1(K11, i, j, k); - PDstandardNth2K11 = PDstandardNth2(K11, i, j, k); - PDstandardNth3K11 = PDstandardNth3(K11, i, j, k); - PDstandardNth1K12 = PDstandardNth1(K12, i, j, k); - PDstandardNth2K12 = PDstandardNth2(K12, i, j, k); - PDstandardNth3K12 = PDstandardNth3(K12, i, j, k); - PDstandardNth1K13 = PDstandardNth1(K13, i, j, k); - PDstandardNth2K13 = PDstandardNth2(K13, i, j, k); - PDstandardNth3K13 = PDstandardNth3(K13, i, j, k); - PDstandardNth1K22 = PDstandardNth1(K22, i, j, k); - PDstandardNth2K22 = PDstandardNth2(K22, i, j, k); - PDstandardNth3K22 = PDstandardNth3(K22, i, j, k); - PDstandardNth1K23 = PDstandardNth1(K23, i, j, k); - PDstandardNth2K23 = PDstandardNth2(K23, i, j, k); - PDstandardNth3K23 = PDstandardNth3(K23, i, j, k); - PDstandardNth1K33 = PDstandardNth1(K33, i, j, k); - PDstandardNth2K33 = PDstandardNth2(K33, i, j, k); - PDstandardNth3K33 = PDstandardNth3(K33, i, j, k); + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth1g11 = PDstandardNth1(g11, i, j, k); + CCTK_REAL const PDstandardNth2g11 = PDstandardNth2(g11, i, j, k); + CCTK_REAL const PDstandardNth3g11 = PDstandardNth3(g11, i, j, k); + CCTK_REAL const PDstandardNth22g11 = PDstandardNth22(g11, i, j, k); + CCTK_REAL const PDstandardNth33g11 = PDstandardNth33(g11, i, j, k); + CCTK_REAL const PDstandardNth23g11 = PDstandardNth23(g11, i, j, k); + CCTK_REAL const PDstandardNth1g12 = PDstandardNth1(g12, i, j, k); + CCTK_REAL const PDstandardNth2g12 = PDstandardNth2(g12, i, j, k); + CCTK_REAL const PDstandardNth3g12 = PDstandardNth3(g12, i, j, k); + CCTK_REAL const PDstandardNth33g12 = PDstandardNth33(g12, i, j, k); + CCTK_REAL const PDstandardNth12g12 = PDstandardNth12(g12, i, j, k); + CCTK_REAL const PDstandardNth13g12 = PDstandardNth13(g12, i, j, k); + CCTK_REAL const PDstandardNth23g12 = PDstandardNth23(g12, i, j, k); + CCTK_REAL const PDstandardNth1g13 = PDstandardNth1(g13, i, j, k); + CCTK_REAL const PDstandardNth2g13 = PDstandardNth2(g13, i, j, k); + CCTK_REAL const PDstandardNth3g13 = PDstandardNth3(g13, i, j, k); + CCTK_REAL const PDstandardNth22g13 = PDstandardNth22(g13, i, j, k); + CCTK_REAL const PDstandardNth12g13 = PDstandardNth12(g13, i, j, k); + CCTK_REAL const PDstandardNth13g13 = PDstandardNth13(g13, i, j, k); + CCTK_REAL const PDstandardNth23g13 = PDstandardNth23(g13, i, j, k); + CCTK_REAL const PDstandardNth1g22 = PDstandardNth1(g22, i, j, k); + CCTK_REAL const PDstandardNth2g22 = PDstandardNth2(g22, i, j, k); + CCTK_REAL const PDstandardNth3g22 = PDstandardNth3(g22, i, j, k); + CCTK_REAL const PDstandardNth11g22 = PDstandardNth11(g22, i, j, k); + CCTK_REAL const PDstandardNth33g22 = PDstandardNth33(g22, i, j, k); + CCTK_REAL const PDstandardNth13g22 = PDstandardNth13(g22, i, j, k); + CCTK_REAL const PDstandardNth1g23 = PDstandardNth1(g23, i, j, k); + CCTK_REAL const PDstandardNth2g23 = PDstandardNth2(g23, i, j, k); + CCTK_REAL const PDstandardNth3g23 = PDstandardNth3(g23, i, j, k); + CCTK_REAL const PDstandardNth11g23 = PDstandardNth11(g23, i, j, k); + CCTK_REAL const PDstandardNth12g23 = PDstandardNth12(g23, i, j, k); + CCTK_REAL const PDstandardNth13g23 = PDstandardNth13(g23, i, j, k); + CCTK_REAL const PDstandardNth23g23 = PDstandardNth23(g23, i, j, k); + CCTK_REAL const PDstandardNth1g33 = PDstandardNth1(g33, i, j, k); + CCTK_REAL const PDstandardNth2g33 = PDstandardNth2(g33, i, j, k); + CCTK_REAL const PDstandardNth3g33 = PDstandardNth3(g33, i, j, k); + CCTK_REAL const PDstandardNth11g33 = PDstandardNth11(g33, i, j, k); + CCTK_REAL const PDstandardNth22g33 = PDstandardNth22(g33, i, j, k); + CCTK_REAL const PDstandardNth12g33 = PDstandardNth12(g33, i, j, k); + CCTK_REAL const PDstandardNth1K11 = PDstandardNth1(K11, i, j, k); + CCTK_REAL const PDstandardNth2K11 = PDstandardNth2(K11, i, j, k); + CCTK_REAL const PDstandardNth3K11 = PDstandardNth3(K11, i, j, k); + CCTK_REAL const PDstandardNth1K12 = PDstandardNth1(K12, i, j, k); + CCTK_REAL const PDstandardNth2K12 = PDstandardNth2(K12, i, j, k); + CCTK_REAL const PDstandardNth3K12 = PDstandardNth3(K12, i, j, k); + CCTK_REAL const PDstandardNth1K13 = PDstandardNth1(K13, i, j, k); + CCTK_REAL const PDstandardNth2K13 = PDstandardNth2(K13, i, j, k); + CCTK_REAL const PDstandardNth3K13 = PDstandardNth3(K13, i, j, k); + CCTK_REAL const PDstandardNth1K22 = PDstandardNth1(K22, i, j, k); + CCTK_REAL const PDstandardNth2K22 = PDstandardNth2(K22, i, j, k); + CCTK_REAL const PDstandardNth3K22 = PDstandardNth3(K22, i, j, k); + CCTK_REAL const PDstandardNth1K23 = PDstandardNth1(K23, i, j, k); + CCTK_REAL const PDstandardNth2K23 = PDstandardNth2(K23, i, j, k); + CCTK_REAL const PDstandardNth3K23 = PDstandardNth3(K23, i, j, k); + CCTK_REAL const PDstandardNth1K33 = PDstandardNth1(K33, i, j, k); + CCTK_REAL const PDstandardNth2K33 = PDstandardNth2(K33, i, j, k); + CCTK_REAL const PDstandardNth3K33 = PDstandardNth3(K33, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L); + CCTK_REAL const detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L); - gu11 = INV(detg)*(g22L*g33L - SQR(g23L)); + CCTK_REAL const gu11 = INV(detg)*(g22L*g33L - SQR(g23L)); - gu12 = (g13L*g23L - g12L*g33L)*INV(detg); + CCTK_REAL const gu12 = (g13L*g23L - g12L*g33L)*INV(detg); - gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg); + CCTK_REAL const gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg); - gu21 = (g13L*g23L - g12L*g33L)*INV(detg); + CCTK_REAL const gu21 = (g13L*g23L - g12L*g33L)*INV(detg); - gu22 = INV(detg)*(g11L*g33L - SQR(g13L)); + CCTK_REAL const gu22 = INV(detg)*(g11L*g33L - SQR(g13L)); - gu23 = (g12L*g13L - g11L*g23L)*INV(detg); + CCTK_REAL const gu23 = (g12L*g13L - g11L*g23L)*INV(detg); - gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg); + CCTK_REAL const gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg); - gu32 = (g12L*g13L - g11L*g23L)*INV(detg); + CCTK_REAL const gu32 = (g12L*g13L - g11L*g23L)*INV(detg); - gu33 = INV(detg)*(g11L*g22L - SQR(g12L)); + CCTK_REAL const gu33 = INV(detg)*(g11L*g22L - SQR(g12L)); - G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) - gu12*PDstandardNth2g11 - + CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) - gu12*PDstandardNth2g11 - gu13*PDstandardNth3g11); - G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) - gu22*PDstandardNth2g11 - + CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) - gu22*PDstandardNth2g11 - gu23*PDstandardNth3g11); - G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 - + CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 - gu33*PDstandardNth3g11); - G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 + + CCTK_REAL const G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 + gu13*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 + + CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 + gu23*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 + + CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 + gu33*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 + + CCTK_REAL const G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 + gu12*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 + + CCTK_REAL const G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 + gu22*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 + + CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 + gu32*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu12*PDstandardNth2g22 + + CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu12*PDstandardNth2g22 + gu13*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 + + CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 + gu23*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 + + CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 + gu33*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G123 = khalf*(gu13*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G123 = khalf*(gu13*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu12*PDstandardNth3g22); - G223 = khalf*(gu23*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G223 = khalf*(gu23*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu22*PDstandardNth3g22); - G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu32*PDstandardNth3g22); - G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 + + CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 + 2*gu12*PDstandardNth3g23 + gu13*PDstandardNth3g33); - G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 + + CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 + 2*gu22*PDstandardNth3g23 + gu23*PDstandardNth3g33); - G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 + + CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 + 2*gu32*PDstandardNth3g23 + gu33*PDstandardNth3g33); - R11 = 2*(G112*G211 + G113*G311 + G213*G312) - G111*(G111 + G212 + G313) - G211*(G112 + G222 + G323) - + CCTK_REAL const R11 = 2*(G112*G211 + G113*G311 + G213*G312) - G111*(G111 + G212 + G313) - G211*(G112 + G222 + G323) - G311*(G113 + G223 + G333) + khalf*(-(gu22*(PDstandardNth11g22 - 2*PDstandardNth12g12 + PDstandardNth22g11)) + gu23*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) + gu32*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) - gu33*(PDstandardNth11g33 - 2*PDstandardNth13g13 + PDstandardNth33g11)) + SQR(G111) + SQR(G212) + SQR(G313); - R12 = khalf*(2*(G122*G211 + G123*G311 + G213*G322 + G313*G323) - + CCTK_REAL const R12 = khalf*(2*(G122*G211 + G123*G311 + G213*G322 + G313*G323) - 2*(G112*G212 + G112*G313 + G212*G323 + G312*G333 + gu12*PDstandardNth12g12) - gu32*PDstandardNth12g23 - gu33*PDstandardNth12g33 + gu13*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12) + gu32*PDstandardNth13g22 + gu33*PDstandardNth13g23 + gu12*(PDstandardNth11g22 + PDstandardNth22g11) + gu32*PDstandardNth22g13 + gu13*PDstandardNth23g11 - gu32*PDstandardNth23g12 + gu33*PDstandardNth23g13 - gu33*PDstandardNth33g12); - R13 = khalf*(2*(G123*G211 + G212*G223 + G133*G311 + G233*G312) - + CCTK_REAL const R13 = khalf*(2*(G123*G211 + G212*G223 + G133*G311 + G233*G312) - 2*(G213*G222 + G223*G313 + G113*(G212 + G313) + gu13*PDstandardNth13g13) + gu12*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12 + PDstandardNth23g11) + gu22*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) + gu13*(PDstandardNth11g33 + PDstandardNth33g11) + gu23*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12)); - R22 = -(G122*(G111 + G212 + G313)) + 2*(G122*G212 + G123*G312 + G223*G322) - G222*(G112 + G222 + G323) - + CCTK_REAL const R22 = -(G122*(G111 + G212 + G313)) + 2*(G122*G212 + G123*G312 + G223*G322) - G222*(G112 + G222 + G323) - G322*(G113 + G223 + G333) + khalf*(-(gu11*(PDstandardNth11g22 - 2*PDstandardNth12g12 + PDstandardNth22g11)) + gu13*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) + gu31*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) - gu33*(PDstandardNth22g33 - 2*PDstandardNth23g23 + PDstandardNth33g22)) + SQR(G112) + SQR(G222) + SQR(G323); - R23 = khalf*(2*(G112*G113 + G122*G213 + G133*G312 + G233*G322) + + CCTK_REAL const R23 = khalf*(2*(G112*G113 + G122*G213 + G133*G312 + G233*G322) + gu11*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) + gu21*(-PDstandardNth12g23 + PDstandardNth13g22 + PDstandardNth22g13 - PDstandardNth23g12) - 2*(G111*G123 + G113*G323 + G223*(G112 + G323) + gu23*PDstandardNth23g23) + gu13*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12) + gu23*(PDstandardNth22g33 + PDstandardNth33g22)); - R33 = -(G133*(G111 + G212 + G313)) + 2*(G123*G213 + G133*G313) + 2*G233*G323 - G233*(G112 + G222 + G323) - + CCTK_REAL const R33 = -(G133*(G111 + G212 + G313)) + 2*(G123*G213 + G133*G313) + 2*G233*G323 - G233*(G112 + G222 + G323) - G333*(G113 + G223 + G333) + khalf*(-(gu11*(PDstandardNth11g33 - 2*PDstandardNth13g13 + PDstandardNth33g11)) + gu12*(-PDstandardNth12g33 + PDstandardNth13g23 + PDstandardNth23g13 - PDstandardNth33g12) + gu21*(-PDstandardNth12g33 + PDstandardNth13g23 + PDstandardNth23g13 - PDstandardNth33g12) - gu22*(PDstandardNth22g33 - 2*PDstandardNth23g23 + PDstandardNth33g22)) + SQR(G113) + SQR(G223) + SQR(G333); - Km11 = gu11*K11L + gu12*K12L + gu13*K13L; + CCTK_REAL const Km11 = gu11*K11L + gu12*K12L + gu13*K13L; - Km21 = gu21*K11L + gu22*K12L + gu23*K13L; + CCTK_REAL const Km21 = gu21*K11L + gu22*K12L + gu23*K13L; - Km31 = gu31*K11L + gu32*K12L + gu33*K13L; + CCTK_REAL const Km31 = gu31*K11L + gu32*K12L + gu33*K13L; - Km12 = gu11*K12L + gu12*K22L + gu13*K23L; + CCTK_REAL const Km12 = gu11*K12L + gu12*K22L + gu13*K23L; - Km22 = gu21*K12L + gu22*K22L + gu23*K23L; + CCTK_REAL const Km22 = gu21*K12L + gu22*K22L + gu23*K23L; - Km32 = gu31*K12L + gu32*K22L + gu33*K23L; + CCTK_REAL const Km32 = gu31*K12L + gu32*K22L + gu33*K23L; - Km13 = gu11*K13L + gu12*K23L + gu13*K33L; + CCTK_REAL const Km13 = gu11*K13L + gu12*K23L + gu13*K33L; - Km23 = gu21*K13L + gu22*K23L + gu23*K33L; + CCTK_REAL const Km23 = gu21*K13L + gu22*K23L + gu23*K33L; - Km33 = gu31*K13L + gu32*K23L + gu33*K33L; + CCTK_REAL const Km33 = gu31*K13L + gu32*K23L + gu33*K33L; - trK = Km11 + Km22 + Km33; + CCTK_REAL const trK = Km11 + Km22 + Km33; - g11rhsL = -2*alphaL*K11L + 2*(g11L*PDstandardNth1beta1 + g12L*PDstandardNth1beta2 + g13L*PDstandardNth1beta3) + + CCTK_REAL const g11rhsL = -2*alphaL*K11L + 2*(g11L*PDstandardNth1beta1 + g12L*PDstandardNth1beta2 + g13L*PDstandardNth1beta3) + beta1L*PDstandardNth1g11 + beta2L*PDstandardNth2g11 + beta3L*PDstandardNth3g11; - g12rhsL = -2*alphaL*K12L + g22L*PDstandardNth1beta2 + g23L*PDstandardNth1beta3 + beta1L*PDstandardNth1g12 + + CCTK_REAL const g12rhsL = -2*alphaL*K12L + g22L*PDstandardNth1beta2 + g23L*PDstandardNth1beta3 + beta1L*PDstandardNth1g12 + g11L*PDstandardNth2beta1 + g12L*(PDstandardNth1beta1 + PDstandardNth2beta2) + g13L*PDstandardNth2beta3 + beta2L*PDstandardNth2g12 + beta3L*PDstandardNth3g12; - g13rhsL = -2*alphaL*K13L + g23L*PDstandardNth1beta2 + g33L*PDstandardNth1beta3 + beta1L*PDstandardNth1g13 + + CCTK_REAL const g13rhsL = -2*alphaL*K13L + g23L*PDstandardNth1beta2 + g33L*PDstandardNth1beta3 + beta1L*PDstandardNth1g13 + beta2L*PDstandardNth2g13 + g11L*PDstandardNth3beta1 + g12L*PDstandardNth3beta2 + g13L*(PDstandardNth1beta1 + PDstandardNth3beta3) + beta3L*PDstandardNth3g13; - g22rhsL = -2*alphaL*K22L + beta1L*PDstandardNth1g22 + + CCTK_REAL const g22rhsL = -2*alphaL*K22L + beta1L*PDstandardNth1g22 + 2*(g12L*PDstandardNth2beta1 + g22L*PDstandardNth2beta2 + g23L*PDstandardNth2beta3) + beta2L*PDstandardNth2g22 + beta3L*PDstandardNth3g22; - g23rhsL = -2*alphaL*K23L + beta1L*PDstandardNth1g23 + g13L*PDstandardNth2beta1 + g33L*PDstandardNth2beta3 + + CCTK_REAL const g23rhsL = -2*alphaL*K23L + beta1L*PDstandardNth1g23 + g13L*PDstandardNth2beta1 + g33L*PDstandardNth2beta3 + beta2L*PDstandardNth2g23 + g12L*PDstandardNth3beta1 + g22L*PDstandardNth3beta2 + g23L*(PDstandardNth2beta2 + PDstandardNth3beta3) + beta3L*PDstandardNth3g23; - g33rhsL = -2*alphaL*K33L + beta1L*PDstandardNth1g33 + beta2L*PDstandardNth2g33 + + CCTK_REAL const g33rhsL = -2*alphaL*K33L + beta1L*PDstandardNth1g33 + beta2L*PDstandardNth2g33 + 2*(g13L*PDstandardNth3beta1 + g23L*PDstandardNth3beta2 + g33L*PDstandardNth3beta3) + beta3L*PDstandardNth3g33; - K11rhsL = -PDstandardNth11alpha + G111*PDstandardNth1alpha + + CCTK_REAL const K11rhsL = -PDstandardNth11alpha + G111*PDstandardNth1alpha + 2*(K11L*PDstandardNth1beta1 + K12L*PDstandardNth1beta2 + K13L*PDstandardNth1beta3) + beta1L*PDstandardNth1K11 + G211*PDstandardNth2alpha + beta2L*PDstandardNth2K11 + G311*PDstandardNth3alpha + beta3L*PDstandardNth3K11 + alphaL*(-2*(K11L*Km11 + K12L*Km21 + K13L*Km31) + R11 + K11L*trK); - K12rhsL = -PDstandardNth12alpha + G112*PDstandardNth1alpha + K22L*PDstandardNth1beta2 + K23L*PDstandardNth1beta3 + + CCTK_REAL const K12rhsL = -PDstandardNth12alpha + G112*PDstandardNth1alpha + K22L*PDstandardNth1beta2 + K23L*PDstandardNth1beta3 + beta1L*PDstandardNth1K12 + G212*PDstandardNth2alpha + K11L*PDstandardNth2beta1 + K12L*(PDstandardNth1beta1 + PDstandardNth2beta2) + K13L*PDstandardNth2beta3 + beta2L*PDstandardNth2K12 + G312*PDstandardNth3alpha + beta3L*PDstandardNth3K12 + alphaL*(-2*(K11L*Km12 + K12L*Km22 + K13L*Km32) + R12 + K12L*trK); - K13rhsL = -PDstandardNth13alpha + G113*PDstandardNth1alpha + K23L*PDstandardNth1beta2 + K33L*PDstandardNth1beta3 + + CCTK_REAL const K13rhsL = -PDstandardNth13alpha + G113*PDstandardNth1alpha + K23L*PDstandardNth1beta2 + K33L*PDstandardNth1beta3 + beta1L*PDstandardNth1K13 + G213*PDstandardNth2alpha + beta2L*PDstandardNth2K13 + G313*PDstandardNth3alpha + K11L*PDstandardNth3beta1 + K12L*PDstandardNth3beta2 + K13L*(PDstandardNth1beta1 + PDstandardNth3beta3) + beta3L*PDstandardNth3K13 + alphaL*(-2*(K11L*Km13 + K12L*Km23 + K13L*Km33) + R13 + K13L*trK); - K22rhsL = G122*PDstandardNth1alpha + beta1L*PDstandardNth1K22 - PDstandardNth22alpha + G222*PDstandardNth2alpha + + CCTK_REAL const K22rhsL = G122*PDstandardNth1alpha + beta1L*PDstandardNth1K22 - PDstandardNth22alpha + G222*PDstandardNth2alpha + 2*(K12L*PDstandardNth2beta1 + K22L*PDstandardNth2beta2 + K23L*PDstandardNth2beta3) + beta2L*PDstandardNth2K22 + G322*PDstandardNth3alpha + beta3L*PDstandardNth3K22 + alphaL*(-2*(K12L*Km12 + K22L*Km22 + K23L*Km32) + R22 + K22L*trK); - K23rhsL = G123*PDstandardNth1alpha + beta1L*PDstandardNth1K23 - PDstandardNth23alpha + G223*PDstandardNth2alpha + + CCTK_REAL const K23rhsL = G123*PDstandardNth1alpha + beta1L*PDstandardNth1K23 - PDstandardNth23alpha + G223*PDstandardNth2alpha + K13L*PDstandardNth2beta1 + K33L*PDstandardNth2beta3 + beta2L*PDstandardNth2K23 + G323*PDstandardNth3alpha + K12L*PDstandardNth3beta1 + K22L*PDstandardNth3beta2 + K23L*(PDstandardNth2beta2 + PDstandardNth3beta3) + beta3L*PDstandardNth3K23 + alphaL*(-2*(K12L*Km13 + K22L*Km23 + K23L*Km33) + R23 + K23L*trK); - K33rhsL = G133*PDstandardNth1alpha + beta1L*PDstandardNth1K33 + G233*PDstandardNth2alpha + beta2L*PDstandardNth2K33 - + CCTK_REAL const K33rhsL = G133*PDstandardNth1alpha + beta1L*PDstandardNth1K33 + G233*PDstandardNth2alpha + beta2L*PDstandardNth2K33 - PDstandardNth33alpha + G333*PDstandardNth3alpha + 2*(K13L*PDstandardNth3beta1 + K23L*PDstandardNth3beta2 + K33L*PDstandardNth3beta3) + beta3L*PDstandardNth3K33 + alphaL*(-2*(K13L*Km13 + K23L*Km23 + K33L*Km33) + R33 + K33L*trK); - alpharhsL = 0; + CCTK_REAL const alpharhsL = 0; - beta1rhsL = 0; + CCTK_REAL const beta1rhsL = 0; - beta2rhsL = 0; + CCTK_REAL const beta2rhsL = 0; - beta3rhsL = 0; + CCTK_REAL const beta3rhsL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_ADM/src/ML_ADM_boundary.c b/ML_ADM/src/ML_ADM_boundary.c index 8270f22..a177e52 100644 --- a/ML_ADM/src/ML_ADM_boundary.c +++ b/ML_ADM/src/ML_ADM_boundary.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,18 +87,18 @@ void ML_ADM_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; - CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -116,37 +114,37 @@ void ML_ADM_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - g11L = 1; + CCTK_REAL const g11L = 1; - g12L = 0; + CCTK_REAL const g12L = 0; - g13L = 0; + CCTK_REAL const g13L = 0; - g22L = 1; + CCTK_REAL const g22L = 1; - g23L = 0; + CCTK_REAL const g23L = 0; - g33L = 1; + CCTK_REAL const g33L = 1; - K11L = 0; + CCTK_REAL const K11L = 0; - K12L = 0; + CCTK_REAL const K12L = 0; - K13L = 0; + CCTK_REAL const K13L = 0; - K22L = 0; + CCTK_REAL const K22L = 0; - K23L = 0; + CCTK_REAL const K23L = 0; - K33L = 0; + CCTK_REAL const K33L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_ADM/src/ML_ADM_constraints.c b/ML_ADM/src/ML_ADM_constraints.c index f508db2..4b9338e 100644 --- a/ML_ADM/src/ML_ADM_constraints.c +++ b/ML_ADM/src/ML_ADM_constraints.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,303 +87,303 @@ void ML_ADM_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detg = INITVALUE; - CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; - CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; - CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE; - CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; - CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL trK = INITVALUE; - CCTK_REAL trR = INITVALUE; + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE; + // CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; - CCTK_REAL HL = INITVALUE; - CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1g11 = INITVALUE; - CCTK_REAL PDstandardNth2g11 = INITVALUE; - CCTK_REAL PDstandardNth3g11 = INITVALUE; - CCTK_REAL PDstandardNth22g11 = INITVALUE; - CCTK_REAL PDstandardNth33g11 = INITVALUE; - CCTK_REAL PDstandardNth23g11 = INITVALUE; - CCTK_REAL PDstandardNth1g12 = INITVALUE; - CCTK_REAL PDstandardNth2g12 = INITVALUE; - CCTK_REAL PDstandardNth3g12 = INITVALUE; - CCTK_REAL PDstandardNth33g12 = INITVALUE; - CCTK_REAL PDstandardNth12g12 = INITVALUE; - CCTK_REAL PDstandardNth13g12 = INITVALUE; - CCTK_REAL PDstandardNth23g12 = INITVALUE; - CCTK_REAL PDstandardNth1g13 = INITVALUE; - CCTK_REAL PDstandardNth2g13 = INITVALUE; - CCTK_REAL PDstandardNth3g13 = INITVALUE; - CCTK_REAL PDstandardNth22g13 = INITVALUE; - CCTK_REAL PDstandardNth12g13 = INITVALUE; - CCTK_REAL PDstandardNth13g13 = INITVALUE; - CCTK_REAL PDstandardNth23g13 = INITVALUE; - CCTK_REAL PDstandardNth1g22 = INITVALUE; - CCTK_REAL PDstandardNth2g22 = INITVALUE; - CCTK_REAL PDstandardNth3g22 = INITVALUE; - CCTK_REAL PDstandardNth11g22 = INITVALUE; - CCTK_REAL PDstandardNth33g22 = INITVALUE; - CCTK_REAL PDstandardNth13g22 = INITVALUE; - CCTK_REAL PDstandardNth1g23 = INITVALUE; - CCTK_REAL PDstandardNth2g23 = INITVALUE; - CCTK_REAL PDstandardNth3g23 = INITVALUE; - CCTK_REAL PDstandardNth11g23 = INITVALUE; - CCTK_REAL PDstandardNth12g23 = INITVALUE; - CCTK_REAL PDstandardNth13g23 = INITVALUE; - CCTK_REAL PDstandardNth23g23 = INITVALUE; - CCTK_REAL PDstandardNth1g33 = INITVALUE; - CCTK_REAL PDstandardNth2g33 = INITVALUE; - CCTK_REAL PDstandardNth3g33 = INITVALUE; - CCTK_REAL PDstandardNth11g33 = INITVALUE; - CCTK_REAL PDstandardNth22g33 = INITVALUE; - CCTK_REAL PDstandardNth12g33 = INITVALUE; - CCTK_REAL PDstandardNth2K11 = INITVALUE; - CCTK_REAL PDstandardNth3K11 = INITVALUE; - CCTK_REAL PDstandardNth1K12 = INITVALUE; - CCTK_REAL PDstandardNth2K12 = INITVALUE; - CCTK_REAL PDstandardNth3K12 = INITVALUE; - CCTK_REAL PDstandardNth1K13 = INITVALUE; - CCTK_REAL PDstandardNth2K13 = INITVALUE; - CCTK_REAL PDstandardNth3K13 = INITVALUE; - CCTK_REAL PDstandardNth1K22 = INITVALUE; - CCTK_REAL PDstandardNth3K22 = INITVALUE; - CCTK_REAL PDstandardNth1K23 = INITVALUE; - CCTK_REAL PDstandardNth2K23 = INITVALUE; - CCTK_REAL PDstandardNth3K23 = INITVALUE; - CCTK_REAL PDstandardNth1K33 = INITVALUE; - CCTK_REAL PDstandardNth2K33 = INITVALUE; + // CCTK_REAL PDstandardNth1g11 = INITVALUE; + // CCTK_REAL PDstandardNth2g11 = INITVALUE; + // CCTK_REAL PDstandardNth3g11 = INITVALUE; + // CCTK_REAL PDstandardNth22g11 = INITVALUE; + // CCTK_REAL PDstandardNth33g11 = INITVALUE; + // CCTK_REAL PDstandardNth23g11 = INITVALUE; + // CCTK_REAL PDstandardNth1g12 = INITVALUE; + // CCTK_REAL PDstandardNth2g12 = INITVALUE; + // CCTK_REAL PDstandardNth3g12 = INITVALUE; + // CCTK_REAL PDstandardNth33g12 = INITVALUE; + // CCTK_REAL PDstandardNth12g12 = INITVALUE; + // CCTK_REAL PDstandardNth13g12 = INITVALUE; + // CCTK_REAL PDstandardNth23g12 = INITVALUE; + // CCTK_REAL PDstandardNth1g13 = INITVALUE; + // CCTK_REAL PDstandardNth2g13 = INITVALUE; + // CCTK_REAL PDstandardNth3g13 = INITVALUE; + // CCTK_REAL PDstandardNth22g13 = INITVALUE; + // CCTK_REAL PDstandardNth12g13 = INITVALUE; + // CCTK_REAL PDstandardNth13g13 = INITVALUE; + // CCTK_REAL PDstandardNth23g13 = INITVALUE; + // CCTK_REAL PDstandardNth1g22 = INITVALUE; + // CCTK_REAL PDstandardNth2g22 = INITVALUE; + // CCTK_REAL PDstandardNth3g22 = INITVALUE; + // CCTK_REAL PDstandardNth11g22 = INITVALUE; + // CCTK_REAL PDstandardNth33g22 = INITVALUE; + // CCTK_REAL PDstandardNth13g22 = INITVALUE; + // CCTK_REAL PDstandardNth1g23 = INITVALUE; + // CCTK_REAL PDstandardNth2g23 = INITVALUE; + // CCTK_REAL PDstandardNth3g23 = INITVALUE; + // CCTK_REAL PDstandardNth11g23 = INITVALUE; + // CCTK_REAL PDstandardNth12g23 = INITVALUE; + // CCTK_REAL PDstandardNth13g23 = INITVALUE; + // CCTK_REAL PDstandardNth23g23 = INITVALUE; + // CCTK_REAL PDstandardNth1g33 = INITVALUE; + // CCTK_REAL PDstandardNth2g33 = INITVALUE; + // CCTK_REAL PDstandardNth3g33 = INITVALUE; + // CCTK_REAL PDstandardNth11g33 = INITVALUE; + // CCTK_REAL PDstandardNth22g33 = INITVALUE; + // CCTK_REAL PDstandardNth12g33 = INITVALUE; + // CCTK_REAL PDstandardNth2K11 = INITVALUE; + // CCTK_REAL PDstandardNth3K11 = INITVALUE; + // CCTK_REAL PDstandardNth1K12 = INITVALUE; + // CCTK_REAL PDstandardNth2K12 = INITVALUE; + // CCTK_REAL PDstandardNth3K12 = INITVALUE; + // CCTK_REAL PDstandardNth1K13 = INITVALUE; + // CCTK_REAL PDstandardNth2K13 = INITVALUE; + // CCTK_REAL PDstandardNth3K13 = INITVALUE; + // CCTK_REAL PDstandardNth1K22 = INITVALUE; + // CCTK_REAL PDstandardNth3K22 = INITVALUE; + // CCTK_REAL PDstandardNth1K23 = INITVALUE; + // CCTK_REAL PDstandardNth2K23 = INITVALUE; + // CCTK_REAL PDstandardNth3K23 = INITVALUE; + // CCTK_REAL PDstandardNth1K33 = INITVALUE; + // CCTK_REAL PDstandardNth2K33 = INITVALUE; /* Assign local copies of grid functions */ - g11L = g11[index]; - g12L = g12[index]; - g13L = g13[index]; - g22L = g22[index]; - g23L = g23[index]; - g33L = g33[index]; - K11L = K11[index]; - K12L = K12[index]; - K13L = K13[index]; - K22L = K22[index]; - K23L = K23[index]; - K33L = K33[index]; + CCTK_REAL const g11L = g11[index]; + CCTK_REAL const g12L = g12[index]; + CCTK_REAL const g13L = g13[index]; + CCTK_REAL const g22L = g22[index]; + CCTK_REAL const g23L = g23[index]; + CCTK_REAL const g33L = g33[index]; + CCTK_REAL const K11L = K11[index]; + CCTK_REAL const K12L = K12[index]; + CCTK_REAL const K13L = K13[index]; + CCTK_REAL const K22L = K22[index]; + CCTK_REAL const K23L = K23[index]; + CCTK_REAL const K33L = K33[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1g11 = PDstandardNth1(g11, i, j, k); - PDstandardNth2g11 = PDstandardNth2(g11, i, j, k); - PDstandardNth3g11 = PDstandardNth3(g11, i, j, k); - PDstandardNth22g11 = PDstandardNth22(g11, i, j, k); - PDstandardNth33g11 = PDstandardNth33(g11, i, j, k); - PDstandardNth23g11 = PDstandardNth23(g11, i, j, k); - PDstandardNth1g12 = PDstandardNth1(g12, i, j, k); - PDstandardNth2g12 = PDstandardNth2(g12, i, j, k); - PDstandardNth3g12 = PDstandardNth3(g12, i, j, k); - PDstandardNth33g12 = PDstandardNth33(g12, i, j, k); - PDstandardNth12g12 = PDstandardNth12(g12, i, j, k); - PDstandardNth13g12 = PDstandardNth13(g12, i, j, k); - PDstandardNth23g12 = PDstandardNth23(g12, i, j, k); - PDstandardNth1g13 = PDstandardNth1(g13, i, j, k); - PDstandardNth2g13 = PDstandardNth2(g13, i, j, k); - PDstandardNth3g13 = PDstandardNth3(g13, i, j, k); - PDstandardNth22g13 = PDstandardNth22(g13, i, j, k); - PDstandardNth12g13 = PDstandardNth12(g13, i, j, k); - PDstandardNth13g13 = PDstandardNth13(g13, i, j, k); - PDstandardNth23g13 = PDstandardNth23(g13, i, j, k); - PDstandardNth1g22 = PDstandardNth1(g22, i, j, k); - PDstandardNth2g22 = PDstandardNth2(g22, i, j, k); - PDstandardNth3g22 = PDstandardNth3(g22, i, j, k); - PDstandardNth11g22 = PDstandardNth11(g22, i, j, k); - PDstandardNth33g22 = PDstandardNth33(g22, i, j, k); - PDstandardNth13g22 = PDstandardNth13(g22, i, j, k); - PDstandardNth1g23 = PDstandardNth1(g23, i, j, k); - PDstandardNth2g23 = PDstandardNth2(g23, i, j, k); - PDstandardNth3g23 = PDstandardNth3(g23, i, j, k); - PDstandardNth11g23 = PDstandardNth11(g23, i, j, k); - PDstandardNth12g23 = PDstandardNth12(g23, i, j, k); - PDstandardNth13g23 = PDstandardNth13(g23, i, j, k); - PDstandardNth23g23 = PDstandardNth23(g23, i, j, k); - PDstandardNth1g33 = PDstandardNth1(g33, i, j, k); - PDstandardNth2g33 = PDstandardNth2(g33, i, j, k); - PDstandardNth3g33 = PDstandardNth3(g33, i, j, k); - PDstandardNth11g33 = PDstandardNth11(g33, i, j, k); - PDstandardNth22g33 = PDstandardNth22(g33, i, j, k); - PDstandardNth12g33 = PDstandardNth12(g33, i, j, k); - PDstandardNth2K11 = PDstandardNth2(K11, i, j, k); - PDstandardNth3K11 = PDstandardNth3(K11, i, j, k); - PDstandardNth1K12 = PDstandardNth1(K12, i, j, k); - PDstandardNth2K12 = PDstandardNth2(K12, i, j, k); - PDstandardNth3K12 = PDstandardNth3(K12, i, j, k); - PDstandardNth1K13 = PDstandardNth1(K13, i, j, k); - PDstandardNth2K13 = PDstandardNth2(K13, i, j, k); - PDstandardNth3K13 = PDstandardNth3(K13, i, j, k); - PDstandardNth1K22 = PDstandardNth1(K22, i, j, k); - PDstandardNth3K22 = PDstandardNth3(K22, i, j, k); - PDstandardNth1K23 = PDstandardNth1(K23, i, j, k); - PDstandardNth2K23 = PDstandardNth2(K23, i, j, k); - PDstandardNth3K23 = PDstandardNth3(K23, i, j, k); - PDstandardNth1K33 = PDstandardNth1(K33, i, j, k); - PDstandardNth2K33 = PDstandardNth2(K33, i, j, k); + CCTK_REAL const PDstandardNth1g11 = PDstandardNth1(g11, i, j, k); + CCTK_REAL const PDstandardNth2g11 = PDstandardNth2(g11, i, j, k); + CCTK_REAL const PDstandardNth3g11 = PDstandardNth3(g11, i, j, k); + CCTK_REAL const PDstandardNth22g11 = PDstandardNth22(g11, i, j, k); + CCTK_REAL const PDstandardNth33g11 = PDstandardNth33(g11, i, j, k); + CCTK_REAL const PDstandardNth23g11 = PDstandardNth23(g11, i, j, k); + CCTK_REAL const PDstandardNth1g12 = PDstandardNth1(g12, i, j, k); + CCTK_REAL const PDstandardNth2g12 = PDstandardNth2(g12, i, j, k); + CCTK_REAL const PDstandardNth3g12 = PDstandardNth3(g12, i, j, k); + CCTK_REAL const PDstandardNth33g12 = PDstandardNth33(g12, i, j, k); + CCTK_REAL const PDstandardNth12g12 = PDstandardNth12(g12, i, j, k); + CCTK_REAL const PDstandardNth13g12 = PDstandardNth13(g12, i, j, k); + CCTK_REAL const PDstandardNth23g12 = PDstandardNth23(g12, i, j, k); + CCTK_REAL const PDstandardNth1g13 = PDstandardNth1(g13, i, j, k); + CCTK_REAL const PDstandardNth2g13 = PDstandardNth2(g13, i, j, k); + CCTK_REAL const PDstandardNth3g13 = PDstandardNth3(g13, i, j, k); + CCTK_REAL const PDstandardNth22g13 = PDstandardNth22(g13, i, j, k); + CCTK_REAL const PDstandardNth12g13 = PDstandardNth12(g13, i, j, k); + CCTK_REAL const PDstandardNth13g13 = PDstandardNth13(g13, i, j, k); + CCTK_REAL const PDstandardNth23g13 = PDstandardNth23(g13, i, j, k); + CCTK_REAL const PDstandardNth1g22 = PDstandardNth1(g22, i, j, k); + CCTK_REAL const PDstandardNth2g22 = PDstandardNth2(g22, i, j, k); + CCTK_REAL const PDstandardNth3g22 = PDstandardNth3(g22, i, j, k); + CCTK_REAL const PDstandardNth11g22 = PDstandardNth11(g22, i, j, k); + CCTK_REAL const PDstandardNth33g22 = PDstandardNth33(g22, i, j, k); + CCTK_REAL const PDstandardNth13g22 = PDstandardNth13(g22, i, j, k); + CCTK_REAL const PDstandardNth1g23 = PDstandardNth1(g23, i, j, k); + CCTK_REAL const PDstandardNth2g23 = PDstandardNth2(g23, i, j, k); + CCTK_REAL const PDstandardNth3g23 = PDstandardNth3(g23, i, j, k); + CCTK_REAL const PDstandardNth11g23 = PDstandardNth11(g23, i, j, k); + CCTK_REAL const PDstandardNth12g23 = PDstandardNth12(g23, i, j, k); + CCTK_REAL const PDstandardNth13g23 = PDstandardNth13(g23, i, j, k); + CCTK_REAL const PDstandardNth23g23 = PDstandardNth23(g23, i, j, k); + CCTK_REAL const PDstandardNth1g33 = PDstandardNth1(g33, i, j, k); + CCTK_REAL const PDstandardNth2g33 = PDstandardNth2(g33, i, j, k); + CCTK_REAL const PDstandardNth3g33 = PDstandardNth3(g33, i, j, k); + CCTK_REAL const PDstandardNth11g33 = PDstandardNth11(g33, i, j, k); + CCTK_REAL const PDstandardNth22g33 = PDstandardNth22(g33, i, j, k); + CCTK_REAL const PDstandardNth12g33 = PDstandardNth12(g33, i, j, k); + CCTK_REAL const PDstandardNth2K11 = PDstandardNth2(K11, i, j, k); + CCTK_REAL const PDstandardNth3K11 = PDstandardNth3(K11, i, j, k); + CCTK_REAL const PDstandardNth1K12 = PDstandardNth1(K12, i, j, k); + CCTK_REAL const PDstandardNth2K12 = PDstandardNth2(K12, i, j, k); + CCTK_REAL const PDstandardNth3K12 = PDstandardNth3(K12, i, j, k); + CCTK_REAL const PDstandardNth1K13 = PDstandardNth1(K13, i, j, k); + CCTK_REAL const PDstandardNth2K13 = PDstandardNth2(K13, i, j, k); + CCTK_REAL const PDstandardNth3K13 = PDstandardNth3(K13, i, j, k); + CCTK_REAL const PDstandardNth1K22 = PDstandardNth1(K22, i, j, k); + CCTK_REAL const PDstandardNth3K22 = PDstandardNth3(K22, i, j, k); + CCTK_REAL const PDstandardNth1K23 = PDstandardNth1(K23, i, j, k); + CCTK_REAL const PDstandardNth2K23 = PDstandardNth2(K23, i, j, k); + CCTK_REAL const PDstandardNth3K23 = PDstandardNth3(K23, i, j, k); + CCTK_REAL const PDstandardNth1K33 = PDstandardNth1(K33, i, j, k); + CCTK_REAL const PDstandardNth2K33 = PDstandardNth2(K33, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L); + CCTK_REAL const detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L); - gu11 = INV(detg)*(g22L*g33L - SQR(g23L)); + CCTK_REAL const gu11 = INV(detg)*(g22L*g33L - SQR(g23L)); - gu12 = (g13L*g23L - g12L*g33L)*INV(detg); + CCTK_REAL const gu12 = (g13L*g23L - g12L*g33L)*INV(detg); - gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg); + CCTK_REAL const gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg); - gu21 = (g13L*g23L - g12L*g33L)*INV(detg); + CCTK_REAL const gu21 = (g13L*g23L - g12L*g33L)*INV(detg); - gu22 = INV(detg)*(g11L*g33L - SQR(g13L)); + CCTK_REAL const gu22 = INV(detg)*(g11L*g33L - SQR(g13L)); - gu23 = (g12L*g13L - g11L*g23L)*INV(detg); + CCTK_REAL const gu23 = (g12L*g13L - g11L*g23L)*INV(detg); - gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg); + CCTK_REAL const gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg); - gu32 = (g12L*g13L - g11L*g23L)*INV(detg); + CCTK_REAL const gu32 = (g12L*g13L - g11L*g23L)*INV(detg); - gu33 = INV(detg)*(g11L*g22L - SQR(g12L)); + CCTK_REAL const gu33 = INV(detg)*(g11L*g22L - SQR(g12L)); - G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) - gu12*PDstandardNth2g11 - + CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) - gu12*PDstandardNth2g11 - gu13*PDstandardNth3g11); - G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) - gu22*PDstandardNth2g11 - + CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) - gu22*PDstandardNth2g11 - gu23*PDstandardNth3g11); - G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 - + CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 - gu33*PDstandardNth3g11); - G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 + + CCTK_REAL const G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 + gu13*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 + + CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 + gu23*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 + + CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 + gu33*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12)); - G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 + + CCTK_REAL const G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 + gu12*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 + + CCTK_REAL const G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 + gu22*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 + + CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 + gu32*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12)); - G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu12*PDstandardNth2g22 + + CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu12*PDstandardNth2g22 + gu13*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 + + CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 + gu23*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 + + CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 + gu33*(2*PDstandardNth2g23 - PDstandardNth3g22)); - G123 = khalf*(gu13*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G123 = khalf*(gu13*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu12*PDstandardNth3g22); - G223 = khalf*(gu23*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G223 = khalf*(gu23*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu22*PDstandardNth3g22); - G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + + CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) + gu32*PDstandardNth3g22); - G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 + + CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 + 2*gu12*PDstandardNth3g23 + gu13*PDstandardNth3g33); - G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 + + CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 + 2*gu22*PDstandardNth3g23 + gu23*PDstandardNth3g33); - G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 + + CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 + 2*gu32*PDstandardNth3g23 + gu33*PDstandardNth3g33); - R11 = -(G111*(G111 + G122 + G133)) - G211*(G211 + G222 + G233) - G311*(G311 + G322 + G333) + + CCTK_REAL const R11 = -(G111*(G111 + G122 + G133)) - G211*(G211 + G222 + G233) - G311*(G311 + G322 + G333) + khalf*(-(gu22*(PDstandardNth11g22 - 2*PDstandardNth12g12 + PDstandardNth22g11)) + gu23*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) + gu32*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) - gu33*(PDstandardNth11g33 - 2*PDstandardNth13g13 + PDstandardNth33g11)) + SQR(G111) + SQR(G112) + SQR(G113) + SQR(G211) + SQR(G212) + SQR(G213) + SQR(G311) + SQR(G312) + SQR(G313); - R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu12*PDstandardNth12g12) - + CCTK_REAL const R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu12*PDstandardNth12g12) - gu32*PDstandardNth12g23 - gu33*PDstandardNth12g33 + gu13*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12) + gu32*PDstandardNth13g22 + gu33*PDstandardNth13g23 + gu12*(PDstandardNth11g22 + PDstandardNth22g11) + gu32*PDstandardNth22g13 + gu13*PDstandardNth23g11 - gu32*PDstandardNth23g12 + gu33*PDstandardNth23g13 - gu33*PDstandardNth33g12); - R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu13*PDstandardNth13g13) + + CCTK_REAL const R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu13*PDstandardNth13g13) + gu12*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12 + PDstandardNth23g11) + gu22*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) + gu13*(PDstandardNth11g33 + PDstandardNth33g11) + gu23*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12)); - R22 = -(G122*(G111 + G122 + G133)) - G222*(G211 + G222 + G233) - G322*(G311 + G322 + G333) + + CCTK_REAL const R22 = -(G122*(G111 + G122 + G133)) - G222*(G211 + G222 + G233) - G322*(G311 + G322 + G333) + khalf*(-(gu11*(PDstandardNth11g22 - 2*PDstandardNth12g12 + PDstandardNth22g11)) + gu13*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) + gu31*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) - gu33*(PDstandardNth22g33 - 2*PDstandardNth23g23 + PDstandardNth33g22)) + SQR(G112) + SQR(G122) + SQR(G123) + SQR(G212) + SQR(G222) + SQR(G223) + SQR(G312) + SQR(G322) + SQR(G323); - R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) + + CCTK_REAL const R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) + gu11*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) + gu21*(-PDstandardNth12g23 + PDstandardNth13g22 + PDstandardNth22g13 - PDstandardNth23g12) - 2*(G111*G123 + G211*G223 + G311*G323 + gu23*PDstandardNth23g23) + gu13*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12) + gu23*(PDstandardNth22g33 + PDstandardNth33g22)); - R33 = -(G133*(G111 + G122 + G133)) - G233*(G211 + G222 + G233) - G333*(G311 + G322 + G333) + + CCTK_REAL const R33 = -(G133*(G111 + G122 + G133)) - G233*(G211 + G222 + G233) - G333*(G311 + G322 + G333) + khalf*(-(gu11*(PDstandardNth11g33 - 2*PDstandardNth13g13 + PDstandardNth33g11)) + gu12*(-PDstandardNth12g33 + PDstandardNth13g23 + PDstandardNth23g13 - PDstandardNth33g12) + gu21*(-PDstandardNth12g33 + PDstandardNth13g23 + PDstandardNth23g13 - PDstandardNth33g12) - gu22*(PDstandardNth22g33 - 2*PDstandardNth23g23 + PDstandardNth33g22)) + SQR(G113) + SQR(G123) + SQR(G133) + SQR(G213) + SQR(G223) + SQR(G233) + SQR(G313) + SQR(G323) + SQR(G333); - trR = gu11*R11 + (gu12 + gu21)*R12 + (gu13 + gu31)*R13 + gu22*R22 + (gu23 + gu32)*R23 + gu33*R33; + CCTK_REAL const trR = gu11*R11 + (gu12 + gu21)*R12 + (gu13 + gu31)*R13 + gu22*R22 + (gu23 + gu32)*R23 + gu33*R33; - Km11 = gu11*K11L + gu12*K12L + gu13*K13L; + CCTK_REAL const Km11 = gu11*K11L + gu12*K12L + gu13*K13L; - Km21 = gu21*K11L + gu22*K12L + gu23*K13L; + CCTK_REAL const Km21 = gu21*K11L + gu22*K12L + gu23*K13L; - Km31 = gu31*K11L + gu32*K12L + gu33*K13L; + CCTK_REAL const Km31 = gu31*K11L + gu32*K12L + gu33*K13L; - Km12 = gu11*K12L + gu12*K22L + gu13*K23L; + CCTK_REAL const Km12 = gu11*K12L + gu12*K22L + gu13*K23L; - Km22 = gu21*K12L + gu22*K22L + gu23*K23L; + CCTK_REAL const Km22 = gu21*K12L + gu22*K22L + gu23*K23L; - Km32 = gu31*K12L + gu32*K22L + gu33*K23L; + CCTK_REAL const Km32 = gu31*K12L + gu32*K22L + gu33*K23L; - Km13 = gu11*K13L + gu12*K23L + gu13*K33L; + CCTK_REAL const Km13 = gu11*K13L + gu12*K23L + gu13*K33L; - Km23 = gu21*K13L + gu22*K23L + gu23*K33L; + CCTK_REAL const Km23 = gu21*K13L + gu22*K23L + gu23*K33L; - Km33 = gu31*K13L + gu32*K23L + gu33*K33L; + CCTK_REAL const Km33 = gu31*K13L + gu32*K23L + gu33*K33L; - trK = Km11 + Km22 + Km33; + CCTK_REAL const trK = Km11 + Km22 + Km33; - HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) + trR - SQR(Km11) - SQR(Km22) - SQR(Km33) + SQR(trK); + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) + trR - SQR(Km11) - SQR(Km22) - SQR(Km33) + SQR(trK); - M1L = gu21*(-(G112*K11L) + G111*K12L - G212*K12L - G312*K13L + G211*K22L + G311*K23L - PDstandardNth1K12 + + CCTK_REAL const M1L = gu21*(-(G112*K11L) + G111*K12L - G212*K12L - G312*K13L + G211*K22L + G311*K23L - PDstandardNth1K12 + PDstandardNth2K11) + gu22*(-(G122*K11L) + G112*K12L - G222*K12L - G322*K13L + G212*K22L + G312*K23L - PDstandardNth1K22 + PDstandardNth2K12) + gu23* (-(G123*K11L) + G113*K12L - G223*K12L - G323*K13L + G213*K22L + G313*K23L - PDstandardNth1K23 + PDstandardNth2K13)\ @@ -394,7 +392,7 @@ void ML_ADM_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ PDstandardNth1K23 + PDstandardNth3K12) + gu33* (-(G133*K11L) - G233*K12L + G113*K13L - G333*K13L + G213*K23L + G313*K33L - PDstandardNth1K33 + PDstandardNth3K13); - M2L = gu11*(G112*K11L + (-G111 + G212)*K12L + G312*K13L - G211*K22L - G311*K23L + PDstandardNth1K12 - + CCTK_REAL const M2L = gu11*(G112*K11L + (-G111 + G212)*K12L + G312*K13L - G211*K22L - G311*K23L + PDstandardNth1K12 - PDstandardNth2K11) + gu12*(G122*K11L + (-G112 + G222)*K12L + G322*K13L - G212*K22L - G312*K23L + PDstandardNth1K22 - PDstandardNth2K12) + gu13* (G123*K11L + (-G113 + G223)*K12L + G323*K13L - G213*K22L - G313*K23L + PDstandardNth1K23 - PDstandardNth2K13) + @@ -403,7 +401,7 @@ void ML_ADM_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ PDstandardNth2K23 + PDstandardNth3K22) + gu33* (-(G133*K12L) + G123*K13L - G233*K22L + G223*K23L - G333*K23L + G323*K33L - PDstandardNth2K33 + PDstandardNth3K23); - M3L = gu11*(G113*K11L + G213*K12L + (-G111 + G313)*K13L - G211*K23L - G311*K33L + PDstandardNth1K13 - + CCTK_REAL const M3L = gu11*(G113*K11L + G213*K12L + (-G111 + G313)*K13L - G211*K23L - G311*K33L + PDstandardNth1K13 - PDstandardNth3K11) + gu12*(G123*K11L + G223*K12L + (-G112 + G323)*K13L - G212*K23L - G312*K33L + PDstandardNth1K23 - PDstandardNth3K12) + gu21* (G113*K12L - G112*K13L + G213*K22L - G212*K23L + G313*K23L - G312*K33L + PDstandardNth2K13 - PDstandardNth3K12) + diff --git a/ML_ADM/src/ML_ADM_constraints_boundary.c b/ML_ADM/src/ML_ADM_constraints_boundary.c index 3a3afa0..fc7a5d4 100644 --- a/ML_ADM/src/ML_ADM_constraints_boundary.c +++ b/ML_ADM/src/ML_ADM_constraints_boundary.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_constraints_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const d /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,16 +87,16 @@ void ML_ADM_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const d i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -114,13 +112,13 @@ void ML_ADM_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const d /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - HL = 0; + CCTK_REAL const HL = 0; - M1L = 0; + CCTK_REAL const M1L = 0; - M2L = 0; + CCTK_REAL const M2L = 0; - M3L = 0; + CCTK_REAL const M3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_ADM/src/ML_ADM_convertFromADMBase.c b/ML_ADM/src/ML_ADM_convertFromADMBase.c index fd774c7..c2b7b5f 100644 --- a/ML_ADM/src/ML_ADM_convertFromADMBase.c +++ b/ML_ADM/src/ML_ADM_convertFromADMBase.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_convertFromADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,55 +87,55 @@ void ML_ADM_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alpL = alp[index]; - betaxL = betax[index]; - betayL = betay[index]; - betazL = betaz[index]; - gxxL = gxx[index]; - gxyL = gxy[index]; - gxzL = gxz[index]; - gyyL = gyy[index]; - gyzL = gyz[index]; - gzzL = gzz[index]; - kxxL = kxx[index]; - kxyL = kxy[index]; - kxzL = kxz[index]; - kyyL = kyy[index]; - kyzL = kyz[index]; - kzzL = kzz[index]; + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; /* Assign local copies of subblock grid functions */ @@ -148,37 +146,37 @@ void ML_ADM_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - g11L = gxxL; + CCTK_REAL const g11L = gxxL; - g12L = gxyL; + CCTK_REAL const g12L = gxyL; - g13L = gxzL; + CCTK_REAL const g13L = gxzL; - g22L = gyyL; + CCTK_REAL const g22L = gyyL; - g23L = gyzL; + CCTK_REAL const g23L = gyzL; - g33L = gzzL; + CCTK_REAL const g33L = gzzL; - K11L = kxxL; + CCTK_REAL const K11L = kxxL; - K12L = kxyL; + CCTK_REAL const K12L = kxyL; - K13L = kxzL; + CCTK_REAL const K13L = kxzL; - K22L = kyyL; + CCTK_REAL const K22L = kyyL; - K23L = kyzL; + CCTK_REAL const K23L = kyzL; - K33L = kzzL; + CCTK_REAL const K33L = kzzL; - alphaL = alpL; + CCTK_REAL const alphaL = alpL; - beta1L = betaxL; + CCTK_REAL const beta1L = betaxL; - beta2L = betayL; + CCTK_REAL const beta2L = betayL; - beta3L = betazL; + CCTK_REAL const beta3L = betazL; /* Copy local copies back to grid functions */ diff --git a/ML_ADM/src/ML_ADM_convertToADMBase.c b/ML_ADM/src/ML_ADM_convertToADMBase.c index 7aadbff..8c9ea1c 100644 --- a/ML_ADM/src/ML_ADM_convertToADMBase.c +++ b/ML_ADM/src/ML_ADM_convertToADMBase.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_ADM_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_ADM_convertToADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void ML_ADM_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,59 +87,59 @@ void ML_ADM_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL g11L = INITVALUE, g12L = INITVALUE, g13L = INITVALUE, g22L = INITVALUE, g23L = INITVALUE, g33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL K11L = INITVALUE, K12L = INITVALUE, K13L = INITVALUE, K22L = INITVALUE, K23L = INITVALUE, K33L = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alphaL = alpha[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - g11L = g11[index]; - g12L = g12[index]; - g13L = g13[index]; - g22L = g22[index]; - g23L = g23[index]; - g33L = g33[index]; - K11L = K11[index]; - K12L = K12[index]; - K13L = K13[index]; - K22L = K22[index]; - K23L = K23[index]; - K33L = K33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const g11L = g11[index]; + CCTK_REAL const g12L = g12[index]; + CCTK_REAL const g13L = g13[index]; + CCTK_REAL const g22L = g22[index]; + CCTK_REAL const g23L = g23[index]; + CCTK_REAL const g33L = g33[index]; + CCTK_REAL const K11L = K11[index]; + CCTK_REAL const K12L = K12[index]; + CCTK_REAL const K13L = K13[index]; + CCTK_REAL const K22L = K22[index]; + CCTK_REAL const K23L = K23[index]; + CCTK_REAL const K33L = K33[index]; /* Assign local copies of subblock grid functions */ @@ -152,45 +150,45 @@ void ML_ADM_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - gxxL = g11L; + CCTK_REAL const gxxL = g11L; - gxyL = g12L; + CCTK_REAL const gxyL = g12L; - gxzL = g13L; + CCTK_REAL const gxzL = g13L; - gyyL = g22L; + CCTK_REAL const gyyL = g22L; - gyzL = g23L; + CCTK_REAL const gyzL = g23L; - gzzL = g33L; + CCTK_REAL const gzzL = g33L; - kxxL = K11L; + CCTK_REAL const kxxL = K11L; - kxyL = K12L; + CCTK_REAL const kxyL = K12L; - kxzL = K13L; + CCTK_REAL const kxzL = K13L; - kyyL = K22L; + CCTK_REAL const kyyL = K22L; - kyzL = K23L; + CCTK_REAL const kyzL = K23L; - kzzL = K33L; + CCTK_REAL const kzzL = K33L; - alpL = alphaL; + CCTK_REAL const alpL = alphaL; - dtalpL = 0; + CCTK_REAL const dtalpL = 0; - betaxL = beta1L; + CCTK_REAL const betaxL = beta1L; - betayL = beta2L; + CCTK_REAL const betayL = beta2L; - betazL = beta3L; + CCTK_REAL const betazL = beta3L; - dtbetaxL = 0; + CCTK_REAL const dtbetaxL = 0; - dtbetayL = 0; + CCTK_REAL const dtbetayL = 0; - dtbetazL = 0; + CCTK_REAL const dtbetazL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_M/configuration.ccl b/ML_ADMConstraints/configuration.ccl index 8e2c3c5..8e2c3c5 100644 --- a/ML_BSSN_M/configuration.ccl +++ b/ML_ADMConstraints/configuration.ccl diff --git a/ML_ADMConstraints/interface.ccl b/ML_ADMConstraints/interface.ccl new file mode 100644 index 0000000..b7f5927 --- /dev/null +++ b/ML_ADMConstraints/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMConstraints + +inherits: ADMBase TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Ham type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" diff --git a/ML_ADMConstraints/param.ccl b/ML_ADMConstraints/param.ccl new file mode 100644 index 0000000..88f1cbd --- /dev/null +++ b/ML_ADMConstraints/param.ccl @@ -0,0 +1,70 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_calc_every "ML_ADMConstraints_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_boundary_calc_every "ML_ADMConstraints_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_calc_offset "ML_ADMConstraints_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_boundary_calc_offset "ML_ADMConstraints_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMConstraints/schedule.ccl b/ML_ADMConstraints/schedule.ccl new file mode 100644 index 0000000..f0e8a8b --- /dev/null +++ b/ML_ADMConstraints/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Ham[3] + +STORAGE: ML_mom[3] + +schedule ML_ADMConstraints_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMConstraints_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMConstraints_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMConstraints AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Ham + SYNC: ML_mom +} "ML_ADMConstraints" + +schedule ML_ADMConstraints_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMConstraints +{ + LANG: C +} "ML_ADMConstraints_boundary" + +schedule ML_ADMConstraints_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMConstraints_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMConstraints_ApplyBCs in MoL_PostStep after ML_ADMConstraints_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMConstraints/src/Boundaries.c b/ML_ADMConstraints/src/Boundaries.c new file mode 100644 index 0000000..de168ca --- /dev/null +++ b/ML_ADMConstraints/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMConstraints_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMConstraints_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMConstraints/src/Differencing.h b/ML_ADMConstraints/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMConstraints/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMConstraints/src/ML_ADMConstraints.c b/ML_ADMConstraints/src/ML_ADMConstraints.c new file mode 100644 index 0000000..90a8989 --- /dev/null +++ b/ML_ADMConstraints/src/ML_ADMConstraints.c @@ -0,0 +1,500 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_calc_every != ML_ADMConstraints_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gxx = INITVALUE; + // CCTK_REAL PDstandardNth2gxx = INITVALUE; + // CCTK_REAL PDstandardNth3gxx = INITVALUE; + // CCTK_REAL PDstandardNth22gxx = INITVALUE; + // CCTK_REAL PDstandardNth33gxx = INITVALUE; + // CCTK_REAL PDstandardNth23gxx = INITVALUE; + // CCTK_REAL PDstandardNth1gxy = INITVALUE; + // CCTK_REAL PDstandardNth2gxy = INITVALUE; + // CCTK_REAL PDstandardNth3gxy = INITVALUE; + // CCTK_REAL PDstandardNth33gxy = INITVALUE; + // CCTK_REAL PDstandardNth12gxy = INITVALUE; + // CCTK_REAL PDstandardNth13gxy = INITVALUE; + // CCTK_REAL PDstandardNth23gxy = INITVALUE; + // CCTK_REAL PDstandardNth1gxz = INITVALUE; + // CCTK_REAL PDstandardNth2gxz = INITVALUE; + // CCTK_REAL PDstandardNth3gxz = INITVALUE; + // CCTK_REAL PDstandardNth22gxz = INITVALUE; + // CCTK_REAL PDstandardNth12gxz = INITVALUE; + // CCTK_REAL PDstandardNth13gxz = INITVALUE; + // CCTK_REAL PDstandardNth23gxz = INITVALUE; + // CCTK_REAL PDstandardNth1gyy = INITVALUE; + // CCTK_REAL PDstandardNth2gyy = INITVALUE; + // CCTK_REAL PDstandardNth3gyy = INITVALUE; + // CCTK_REAL PDstandardNth11gyy = INITVALUE; + // CCTK_REAL PDstandardNth33gyy = INITVALUE; + // CCTK_REAL PDstandardNth13gyy = INITVALUE; + // CCTK_REAL PDstandardNth1gyz = INITVALUE; + // CCTK_REAL PDstandardNth2gyz = INITVALUE; + // CCTK_REAL PDstandardNth3gyz = INITVALUE; + // CCTK_REAL PDstandardNth11gyz = INITVALUE; + // CCTK_REAL PDstandardNth12gyz = INITVALUE; + // CCTK_REAL PDstandardNth13gyz = INITVALUE; + // CCTK_REAL PDstandardNth23gyz = INITVALUE; + // CCTK_REAL PDstandardNth1gzz = INITVALUE; + // CCTK_REAL PDstandardNth2gzz = INITVALUE; + // CCTK_REAL PDstandardNth3gzz = INITVALUE; + // CCTK_REAL PDstandardNth11gzz = INITVALUE; + // CCTK_REAL PDstandardNth22gzz = INITVALUE; + // CCTK_REAL PDstandardNth12gzz = INITVALUE; + // CCTK_REAL PDstandardNth2kxx = INITVALUE; + // CCTK_REAL PDstandardNth3kxx = INITVALUE; + // CCTK_REAL PDstandardNth1kxy = INITVALUE; + // CCTK_REAL PDstandardNth2kxy = INITVALUE; + // CCTK_REAL PDstandardNth3kxy = INITVALUE; + // CCTK_REAL PDstandardNth1kxz = INITVALUE; + // CCTK_REAL PDstandardNth2kxz = INITVALUE; + // CCTK_REAL PDstandardNth3kxz = INITVALUE; + // CCTK_REAL PDstandardNth1kyy = INITVALUE; + // CCTK_REAL PDstandardNth3kyy = INITVALUE; + // CCTK_REAL PDstandardNth1kyz = INITVALUE; + // CCTK_REAL PDstandardNth2kyz = INITVALUE; + // CCTK_REAL PDstandardNth3kyz = INITVALUE; + // CCTK_REAL PDstandardNth1kzz = INITVALUE; + // CCTK_REAL PDstandardNth2kzz = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k); + CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k); + CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k); + CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(gxx, i, j, k); + CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(gxx, i, j, k); + CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(gxx, i, j, k); + CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(gxy, i, j, k); + CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(gxy, i, j, k); + CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(gxy, i, j, k); + CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(gxy, i, j, k); + CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(gxy, i, j, k); + CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(gxy, i, j, k); + CCTK_REAL const PDstandardNth23gxy = PDstandardNth23(gxy, i, j, k); + CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(gxz, i, j, k); + CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(gxz, i, j, k); + CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(gxz, i, j, k); + CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(gxz, i, j, k); + CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(gxz, i, j, k); + CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(gxz, i, j, k); + CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(gxz, i, j, k); + CCTK_REAL const PDstandardNth1gyy = PDstandardNth1(gyy, i, j, k); + CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(gyy, i, j, k); + CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(gyy, i, j, k); + CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(gyy, i, j, k); + CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(gyy, i, j, k); + CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(gyy, i, j, k); + CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(gyz, i, j, k); + CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(gyz, i, j, k); + CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(gyz, i, j, k); + CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(gyz, i, j, k); + CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(gyz, i, j, k); + CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(gyz, i, j, k); + CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(gyz, i, j, k); + CCTK_REAL const PDstandardNth1gzz = PDstandardNth1(gzz, i, j, k); + CCTK_REAL const PDstandardNth2gzz = PDstandardNth2(gzz, i, j, k); + CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(gzz, i, j, k); + CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(gzz, i, j, k); + CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(gzz, i, j, k); + CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(gzz, i, j, k); + CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(kxx, i, j, k); + CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(kxx, i, j, k); + CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(kxy, i, j, k); + CCTK_REAL const PDstandardNth2kxy = PDstandardNth2(kxy, i, j, k); + CCTK_REAL const PDstandardNth3kxy = PDstandardNth3(kxy, i, j, k); + CCTK_REAL const PDstandardNth1kxz = PDstandardNth1(kxz, i, j, k); + CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(kxz, i, j, k); + CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(kxz, i, j, k); + CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(kyy, i, j, k); + CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(kyy, i, j, k); + CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(kyz, i, j, k); + CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(kyz, i, j, k); + CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(kyz, i, j, k); + CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k); + CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL); + + CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL)); + + CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg); + + CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL)); + + CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL)); + + CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1gxx + 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) - gu21*PDstandardNth2gxx - + gu31*PDstandardNth3gxx); + + CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1gxx + 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) - gu22*PDstandardNth2gxx - + gu32*PDstandardNth3gxx); + + CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1gxx + 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) - gu32*PDstandardNth2gxx - + gu33*PDstandardNth3gxx); + + CCTK_REAL const G112 = khalf*(gu21*PDstandardNth1gyy + gu11*PDstandardNth2gxx + + gu31*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1gyy + gu21*PDstandardNth2gxx + + gu32*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1gyy + gu31*PDstandardNth2gxx + + gu33*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G113 = khalf*(gu31*PDstandardNth1gzz + gu11*PDstandardNth3gxx + + gu21*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G213 = khalf*(gu32*PDstandardNth1gzz + gu21*PDstandardNth3gxx + + gu22*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1gzz + gu31*PDstandardNth3gxx + + gu32*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu21*PDstandardNth2gyy + + gu31*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu22*PDstandardNth2gyy + + gu32*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu32*PDstandardNth2gyy + + gu33*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G123 = khalf*(gu31*PDstandardNth2gzz + gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu21*PDstandardNth3gyy); + + CCTK_REAL const G223 = khalf*(gu32*PDstandardNth2gzz + gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu22*PDstandardNth3gyy); + + CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2gzz + gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu32*PDstandardNth3gyy); + + CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1gzz) - gu21*PDstandardNth2gzz + 2*gu11*PDstandardNth3gxz + + 2*gu21*PDstandardNth3gyz + gu31*PDstandardNth3gzz); + + CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1gzz) - gu22*PDstandardNth2gzz + 2*gu21*PDstandardNth3gxz + + 2*gu22*PDstandardNth3gyz + gu32*PDstandardNth3gzz); + + CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1gzz) - gu32*PDstandardNth2gzz + 2*gu31*PDstandardNth3gxz + + 2*gu32*PDstandardNth3gyz + gu33*PDstandardNth3gzz); + + CCTK_REAL const R11 = khalf*(-(gu22*PDstandardNth11gyy) - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 + + gu32*PDstandardNth11gyz) - gu33*PDstandardNth11gzz + 2*gu22*PDstandardNth12gxy + 2*gu32*PDstandardNth12gxz + + 2*gu32*PDstandardNth13gxy + 2*gu33*PDstandardNth13gxz - gu22*PDstandardNth22gxx - 2*gu32*PDstandardNth23gxx - + gu33*PDstandardNth33gxx + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313)); + + CCTK_REAL const R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12gxy) - + gu32*PDstandardNth12gyz - gu33*PDstandardNth12gzz + + gu31*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy) + gu32*PDstandardNth13gyy + + gu33*PDstandardNth13gyz + gu21*(PDstandardNth11gyy + PDstandardNth22gxx) + gu32*PDstandardNth22gxz + + gu31*PDstandardNth23gxx - gu32*PDstandardNth23gxy + gu33*PDstandardNth23gxz - gu33*PDstandardNth33gxy); + + CCTK_REAL const R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13gxz) + + gu21*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy + PDstandardNth23gxx) + + gu22*(PDstandardNth12gyz - PDstandardNth13gyy - PDstandardNth22gxz + PDstandardNth23gxy) + + gu31*(PDstandardNth11gzz + PDstandardNth33gxx) + + gu32*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy)); + + CCTK_REAL const R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) + G322*(G311 + G333) + gu31*PDstandardNth13gyy) + + gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy - PDstandardNth22gxx) + + gu31*(-2*PDstandardNth22gxz + 2*(PDstandardNth12gyz + PDstandardNth23gxy)) + + gu33*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(SQR(G112) + SQR(G123) + SQR(G212) + SQR(G223) + SQR(G312) + SQR(G323))); + + CCTK_REAL const R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) + + gu11*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy - PDstandardNth23gxx) + + gu21*(-PDstandardNth12gyz + PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) - + 2*(G111*G123 + G211*G223 + G311*G323 + gu32*PDstandardNth23gyz) + + gu31*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy) + + gu32*(PDstandardNth22gzz + PDstandardNth33gyy)); + + CCTK_REAL const R33 = khalf*(gu11*(-PDstandardNth11gzz + 2*PDstandardNth13gxz - PDstandardNth33gxx) - + 2*((G111 + G122)*G133 + (G211 + G222)*G233 + (G311 + G322)*G333 + + gu21*(PDstandardNth12gzz + PDstandardNth33gxy)) + + gu22*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(gu21*(PDstandardNth13gyz + PDstandardNth23gxz) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) + SQR(G313) + + SQR(G323))); + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL; + + CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL; + + CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL; + + CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL; + + CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL; + + CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL; + + CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL; + + CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL; + + CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL; + + CCTK_REAL const trK = Km11 + Km22 + Km33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alpL,-2)*(T00 - 2*(betayL*T02 + betazL*T03) + + 2*(betaxL*(-T01 + betayL*T12 + betazL*T13) + betayL*betazL*T23) + T11*SQR(betaxL) + T22*SQR(betayL) + + T33*SQR(betazL)); + + CCTK_REAL const S1 = (-T01 + betaxL*T11 + betayL*T12 + betazL*T13)*INV(alpL); + + CCTK_REAL const S2 = (-T02 + betaxL*T12 + betayL*T22 + betazL*T23)*INV(alpL); + + CCTK_REAL const S3 = (-T03 + betaxL*T13 + betayL*T23 + betazL*T33)*INV(alpL); + + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) - + SQR(Km22) - SQR(Km33) + SQR(trK); + + CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL - PDstandardNth1kxy + + PDstandardNth2kxx) + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL - + PDstandardNth1kyy + PDstandardNth2kxy) + gu31* + (-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL - PDstandardNth1kxz + PDstandardNth3kxx)\ + + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL - + 2*(G123*kxxL + G223*kxyL + G323*kxzL + PDstandardNth1kyz) + PDstandardNth2kxz + PDstandardNth3kxy) + + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL - PDstandardNth1kzz + + PDstandardNth3kxz) - 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL + PDstandardNth1kxy - + PDstandardNth2kxx) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL + + PDstandardNth1kyy - PDstandardNth2kxy) + gu31* + (G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + PDstandardNth1kyz - + 2*(G213*kyyL + G313*kyzL + PDstandardNth2kxz) + PDstandardNth3kxy) + + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL - PDstandardNth2kyz + + PDstandardNth3kyy) + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL - + PDstandardNth2kzz + PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL + PDstandardNth1kxz - + PDstandardNth3kxx) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL + + (-2*G212 + G313)*kyzL + PDstandardNth1kyz + PDstandardNth2kxz - 2*(G312*kzzL + PDstandardNth3kxy)) + + gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL + PDstandardNth1kzz - + PDstandardNth3kxz) + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL + + PDstandardNth2kyz - PDstandardNth3kyy) + gu32* + (G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL + PDstandardNth2kzz - PDstandardNth3kyz) - + 25.13274122871834590770114706623602307358*S3; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints); +} + +void ML_ADMConstraints(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMConstraints_Body); +} diff --git a/ML_ADMConstraints/src/ML_ADMConstraints_boundary.c b/ML_ADMConstraints/src/ML_ADMConstraints_boundary.c new file mode 100644 index 0000000..a41c5a5 --- /dev/null +++ b/ML_ADMConstraints/src/ML_ADMConstraints_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_boundary_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_boundary_calc_every != ML_ADMConstraints_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_boundary); +} + +void ML_ADMConstraints_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMConstraints_boundary_Body); +} diff --git a/ML_ADMConstraints/src/RegisterMoL.c b/ML_ADMConstraints/src/RegisterMoL.c new file mode 100644 index 0000000..d4e83ac --- /dev/null +++ b/ML_ADMConstraints/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMConstraints_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMConstraints/src/RegisterSymmetries.c b/ML_ADMConstraints/src/RegisterSymmetries.c new file mode 100644 index 0000000..664a57f --- /dev/null +++ b/ML_ADMConstraints/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMConstraints_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints::M3"); + +} diff --git a/ML_ADMConstraints/src/Startup.c b/ML_ADMConstraints/src/Startup.c new file mode 100644 index 0000000..2522724 --- /dev/null +++ b/ML_ADMConstraints/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMConstraints_Startup(void) +{ + const char * banner = "ML_ADMConstraints"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMConstraints/src/make.code.defn b/ML_ADMConstraints/src/make.code.defn new file mode 100644 index 0000000..63f8ba4 --- /dev/null +++ b/ML_ADMConstraints/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMConstraints.c ML_ADMConstraints_boundary.c Boundaries.c diff --git a/ML_ADMConstraints_M/configuration.ccl b/ML_ADMConstraints_M/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMConstraints_M/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMConstraints_M/interface.ccl b/ML_ADMConstraints_M/interface.ccl new file mode 100644 index 0000000..a70a547 --- /dev/null +++ b/ML_ADMConstraints_M/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMConstraints_M + +inherits: ADMBase TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Ham type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" diff --git a/ML_ADMConstraints_M/param.ccl b/ML_ADMConstraints_M/param.ccl new file mode 100644 index 0000000..4d2df8b --- /dev/null +++ b/ML_ADMConstraints_M/param.ccl @@ -0,0 +1,70 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_M_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_M_calc_every "ML_ADMConstraints_M_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_M_boundary_calc_every "ML_ADMConstraints_M_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_M_calc_offset "ML_ADMConstraints_M_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_M_boundary_calc_offset "ML_ADMConstraints_M_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMConstraints_M/schedule.ccl b/ML_ADMConstraints_M/schedule.ccl new file mode 100644 index 0000000..deec639 --- /dev/null +++ b/ML_ADMConstraints_M/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Ham[3] + +STORAGE: ML_mom[3] + +schedule ML_ADMConstraints_M_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMConstraints_M_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMConstraints_M_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMConstraints_M AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Ham + SYNC: ML_mom +} "ML_ADMConstraints_M" + +schedule ML_ADMConstraints_M_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMConstraints_M +{ + LANG: C +} "ML_ADMConstraints_M_boundary" + +schedule ML_ADMConstraints_M_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMConstraints_M_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMConstraints_M_ApplyBCs in MoL_PostStep after ML_ADMConstraints_M_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMConstraints_M/src/Boundaries.c b/ML_ADMConstraints_M/src/Boundaries.c new file mode 100644 index 0000000..49a4c88 --- /dev/null +++ b/ML_ADMConstraints_M/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMConstraints_M_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMConstraints_M_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMConstraints_M/src/Differencing.h b/ML_ADMConstraints_M/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMConstraints_M/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMConstraints_M/src/ML_ADMConstraints_M.c b/ML_ADMConstraints_M/src/ML_ADMConstraints_M.c new file mode 100644 index 0000000..b663287 --- /dev/null +++ b/ML_ADMConstraints_M/src/ML_ADMConstraints_M.c @@ -0,0 +1,500 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_M_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_M_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_M_calc_every != ML_ADMConstraints_M_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_M, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gxx = INITVALUE; + // CCTK_REAL PDstandardNth2gxx = INITVALUE; + // CCTK_REAL PDstandardNth3gxx = INITVALUE; + // CCTK_REAL PDstandardNth22gxx = INITVALUE; + // CCTK_REAL PDstandardNth33gxx = INITVALUE; + // CCTK_REAL PDstandardNth23gxx = INITVALUE; + // CCTK_REAL PDstandardNth1gxy = INITVALUE; + // CCTK_REAL PDstandardNth2gxy = INITVALUE; + // CCTK_REAL PDstandardNth3gxy = INITVALUE; + // CCTK_REAL PDstandardNth33gxy = INITVALUE; + // CCTK_REAL PDstandardNth12gxy = INITVALUE; + // CCTK_REAL PDstandardNth13gxy = INITVALUE; + // CCTK_REAL PDstandardNth23gxy = INITVALUE; + // CCTK_REAL PDstandardNth1gxz = INITVALUE; + // CCTK_REAL PDstandardNth2gxz = INITVALUE; + // CCTK_REAL PDstandardNth3gxz = INITVALUE; + // CCTK_REAL PDstandardNth22gxz = INITVALUE; + // CCTK_REAL PDstandardNth12gxz = INITVALUE; + // CCTK_REAL PDstandardNth13gxz = INITVALUE; + // CCTK_REAL PDstandardNth23gxz = INITVALUE; + // CCTK_REAL PDstandardNth1gyy = INITVALUE; + // CCTK_REAL PDstandardNth2gyy = INITVALUE; + // CCTK_REAL PDstandardNth3gyy = INITVALUE; + // CCTK_REAL PDstandardNth11gyy = INITVALUE; + // CCTK_REAL PDstandardNth33gyy = INITVALUE; + // CCTK_REAL PDstandardNth13gyy = INITVALUE; + // CCTK_REAL PDstandardNth1gyz = INITVALUE; + // CCTK_REAL PDstandardNth2gyz = INITVALUE; + // CCTK_REAL PDstandardNth3gyz = INITVALUE; + // CCTK_REAL PDstandardNth11gyz = INITVALUE; + // CCTK_REAL PDstandardNth12gyz = INITVALUE; + // CCTK_REAL PDstandardNth13gyz = INITVALUE; + // CCTK_REAL PDstandardNth23gyz = INITVALUE; + // CCTK_REAL PDstandardNth1gzz = INITVALUE; + // CCTK_REAL PDstandardNth2gzz = INITVALUE; + // CCTK_REAL PDstandardNth3gzz = INITVALUE; + // CCTK_REAL PDstandardNth11gzz = INITVALUE; + // CCTK_REAL PDstandardNth22gzz = INITVALUE; + // CCTK_REAL PDstandardNth12gzz = INITVALUE; + // CCTK_REAL PDstandardNth2kxx = INITVALUE; + // CCTK_REAL PDstandardNth3kxx = INITVALUE; + // CCTK_REAL PDstandardNth1kxy = INITVALUE; + // CCTK_REAL PDstandardNth2kxy = INITVALUE; + // CCTK_REAL PDstandardNth3kxy = INITVALUE; + // CCTK_REAL PDstandardNth1kxz = INITVALUE; + // CCTK_REAL PDstandardNth2kxz = INITVALUE; + // CCTK_REAL PDstandardNth3kxz = INITVALUE; + // CCTK_REAL PDstandardNth1kyy = INITVALUE; + // CCTK_REAL PDstandardNth3kyy = INITVALUE; + // CCTK_REAL PDstandardNth1kyz = INITVALUE; + // CCTK_REAL PDstandardNth2kyz = INITVALUE; + // CCTK_REAL PDstandardNth3kyz = INITVALUE; + // CCTK_REAL PDstandardNth1kzz = INITVALUE; + // CCTK_REAL PDstandardNth2kzz = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k); + CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k); + CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k); + CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(gxx, i, j, k); + CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(gxx, i, j, k); + CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(gxx, i, j, k); + CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(gxy, i, j, k); + CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(gxy, i, j, k); + CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(gxy, i, j, k); + CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(gxy, i, j, k); + CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(gxy, i, j, k); + CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(gxy, i, j, k); + CCTK_REAL const PDstandardNth23gxy = PDstandardNth23(gxy, i, j, k); + CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(gxz, i, j, k); + CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(gxz, i, j, k); + CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(gxz, i, j, k); + CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(gxz, i, j, k); + CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(gxz, i, j, k); + CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(gxz, i, j, k); + CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(gxz, i, j, k); + CCTK_REAL const PDstandardNth1gyy = PDstandardNth1(gyy, i, j, k); + CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(gyy, i, j, k); + CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(gyy, i, j, k); + CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(gyy, i, j, k); + CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(gyy, i, j, k); + CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(gyy, i, j, k); + CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(gyz, i, j, k); + CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(gyz, i, j, k); + CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(gyz, i, j, k); + CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(gyz, i, j, k); + CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(gyz, i, j, k); + CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(gyz, i, j, k); + CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(gyz, i, j, k); + CCTK_REAL const PDstandardNth1gzz = PDstandardNth1(gzz, i, j, k); + CCTK_REAL const PDstandardNth2gzz = PDstandardNth2(gzz, i, j, k); + CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(gzz, i, j, k); + CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(gzz, i, j, k); + CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(gzz, i, j, k); + CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(gzz, i, j, k); + CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(kxx, i, j, k); + CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(kxx, i, j, k); + CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(kxy, i, j, k); + CCTK_REAL const PDstandardNth2kxy = PDstandardNth2(kxy, i, j, k); + CCTK_REAL const PDstandardNth3kxy = PDstandardNth3(kxy, i, j, k); + CCTK_REAL const PDstandardNth1kxz = PDstandardNth1(kxz, i, j, k); + CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(kxz, i, j, k); + CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(kxz, i, j, k); + CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(kyy, i, j, k); + CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(kyy, i, j, k); + CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(kyz, i, j, k); + CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(kyz, i, j, k); + CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(kyz, i, j, k); + CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k); + CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL); + + CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL)); + + CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg); + + CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL)); + + CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL)); + + CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1gxx + 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) - gu21*PDstandardNth2gxx - + gu31*PDstandardNth3gxx); + + CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1gxx + 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) - gu22*PDstandardNth2gxx - + gu32*PDstandardNth3gxx); + + CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1gxx + 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) - gu32*PDstandardNth2gxx - + gu33*PDstandardNth3gxx); + + CCTK_REAL const G112 = khalf*(gu21*PDstandardNth1gyy + gu11*PDstandardNth2gxx + + gu31*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1gyy + gu21*PDstandardNth2gxx + + gu32*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1gyy + gu31*PDstandardNth2gxx + + gu33*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G113 = khalf*(gu31*PDstandardNth1gzz + gu11*PDstandardNth3gxx + + gu21*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G213 = khalf*(gu32*PDstandardNth1gzz + gu21*PDstandardNth3gxx + + gu22*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1gzz + gu31*PDstandardNth3gxx + + gu32*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu21*PDstandardNth2gyy + + gu31*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu22*PDstandardNth2gyy + + gu32*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu32*PDstandardNth2gyy + + gu33*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G123 = khalf*(gu31*PDstandardNth2gzz + gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu21*PDstandardNth3gyy); + + CCTK_REAL const G223 = khalf*(gu32*PDstandardNth2gzz + gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu22*PDstandardNth3gyy); + + CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2gzz + gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu32*PDstandardNth3gyy); + + CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1gzz) - gu21*PDstandardNth2gzz + 2*gu11*PDstandardNth3gxz + + 2*gu21*PDstandardNth3gyz + gu31*PDstandardNth3gzz); + + CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1gzz) - gu22*PDstandardNth2gzz + 2*gu21*PDstandardNth3gxz + + 2*gu22*PDstandardNth3gyz + gu32*PDstandardNth3gzz); + + CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1gzz) - gu32*PDstandardNth2gzz + 2*gu31*PDstandardNth3gxz + + 2*gu32*PDstandardNth3gyz + gu33*PDstandardNth3gzz); + + CCTK_REAL const R11 = khalf*(-(gu22*PDstandardNth11gyy) - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 + + gu32*PDstandardNth11gyz) - gu33*PDstandardNth11gzz + 2*gu22*PDstandardNth12gxy + 2*gu32*PDstandardNth12gxz + + 2*gu32*PDstandardNth13gxy + 2*gu33*PDstandardNth13gxz - gu22*PDstandardNth22gxx - 2*gu32*PDstandardNth23gxx - + gu33*PDstandardNth33gxx + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313)); + + CCTK_REAL const R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12gxy) - + gu32*PDstandardNth12gyz - gu33*PDstandardNth12gzz + + gu31*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy) + gu32*PDstandardNth13gyy + + gu33*PDstandardNth13gyz + gu21*(PDstandardNth11gyy + PDstandardNth22gxx) + gu32*PDstandardNth22gxz + + gu31*PDstandardNth23gxx - gu32*PDstandardNth23gxy + gu33*PDstandardNth23gxz - gu33*PDstandardNth33gxy); + + CCTK_REAL const R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13gxz) + + gu21*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy + PDstandardNth23gxx) + + gu22*(PDstandardNth12gyz - PDstandardNth13gyy - PDstandardNth22gxz + PDstandardNth23gxy) + + gu31*(PDstandardNth11gzz + PDstandardNth33gxx) + + gu32*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy)); + + CCTK_REAL const R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) + G322*(G311 + G333) + gu31*PDstandardNth13gyy) + + gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy - PDstandardNth22gxx) + + gu31*(-2*PDstandardNth22gxz + 2*(PDstandardNth12gyz + PDstandardNth23gxy)) + + gu33*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(SQR(G112) + SQR(G123) + SQR(G212) + SQR(G223) + SQR(G312) + SQR(G323))); + + CCTK_REAL const R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) + + gu11*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy - PDstandardNth23gxx) + + gu21*(-PDstandardNth12gyz + PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) - + 2*(G111*G123 + G211*G223 + G311*G323 + gu32*PDstandardNth23gyz) + + gu31*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy) + + gu32*(PDstandardNth22gzz + PDstandardNth33gyy)); + + CCTK_REAL const R33 = khalf*(gu11*(-PDstandardNth11gzz + 2*PDstandardNth13gxz - PDstandardNth33gxx) - + 2*((G111 + G122)*G133 + (G211 + G222)*G233 + (G311 + G322)*G333 + + gu21*(PDstandardNth12gzz + PDstandardNth33gxy)) + + gu22*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(gu21*(PDstandardNth13gyz + PDstandardNth23gxz) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) + SQR(G313) + + SQR(G323))); + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL; + + CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL; + + CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL; + + CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL; + + CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL; + + CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL; + + CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL; + + CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL; + + CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL; + + CCTK_REAL const trK = Km11 + Km22 + Km33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alpL,-2)*(T00 - 2*(betayL*T02 + betazL*T03) + + 2*(betaxL*(-T01 + betayL*T12 + betazL*T13) + betayL*betazL*T23) + T11*SQR(betaxL) + T22*SQR(betayL) + + T33*SQR(betazL)); + + CCTK_REAL const S1 = (-T01 + betaxL*T11 + betayL*T12 + betazL*T13)*INV(alpL); + + CCTK_REAL const S2 = (-T02 + betaxL*T12 + betayL*T22 + betazL*T23)*INV(alpL); + + CCTK_REAL const S3 = (-T03 + betaxL*T13 + betayL*T23 + betazL*T33)*INV(alpL); + + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) - + SQR(Km22) - SQR(Km33) + SQR(trK); + + CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL - PDstandardNth1kxy + + PDstandardNth2kxx) + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL - + PDstandardNth1kyy + PDstandardNth2kxy) + gu31* + (-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL - PDstandardNth1kxz + PDstandardNth3kxx)\ + + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL - + 2*(G123*kxxL + G223*kxyL + G323*kxzL + PDstandardNth1kyz) + PDstandardNth2kxz + PDstandardNth3kxy) + + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL - PDstandardNth1kzz + + PDstandardNth3kxz) - 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL + PDstandardNth1kxy - + PDstandardNth2kxx) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL + + PDstandardNth1kyy - PDstandardNth2kxy) + gu31* + (G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + PDstandardNth1kyz - + 2*(G213*kyyL + G313*kyzL + PDstandardNth2kxz) + PDstandardNth3kxy) + + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL - PDstandardNth2kyz + + PDstandardNth3kyy) + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL - + PDstandardNth2kzz + PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL + PDstandardNth1kxz - + PDstandardNth3kxx) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL + + (-2*G212 + G313)*kyzL + PDstandardNth1kyz + PDstandardNth2kxz - 2*(G312*kzzL + PDstandardNth3kxy)) + + gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL + PDstandardNth1kzz - + PDstandardNth3kxz) + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL + + PDstandardNth2kyz - PDstandardNth3kyy) + gu32* + (G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL + PDstandardNth2kzz - PDstandardNth3kyz) - + 25.13274122871834590770114706623602307358*S3; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_M); +} + +void ML_ADMConstraints_M(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMConstraints_M_Body); +} diff --git a/ML_ADMConstraints_M/src/ML_ADMConstraints_M_boundary.c b/ML_ADMConstraints_M/src/ML_ADMConstraints_M_boundary.c new file mode 100644 index 0000000..ce80ef3 --- /dev/null +++ b/ML_ADMConstraints_M/src/ML_ADMConstraints_M_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_M_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_M_boundary_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_M_boundary_calc_every != ML_ADMConstraints_M_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_M_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_M_boundary); +} + +void ML_ADMConstraints_M_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMConstraints_M_boundary_Body); +} diff --git a/ML_ADMConstraints_M/src/RegisterMoL.c b/ML_ADMConstraints_M/src/RegisterMoL.c new file mode 100644 index 0000000..d5bea05 --- /dev/null +++ b/ML_ADMConstraints_M/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMConstraints_M_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMConstraints_M/src/RegisterSymmetries.c b/ML_ADMConstraints_M/src/RegisterSymmetries.c new file mode 100644 index 0000000..a69ef14 --- /dev/null +++ b/ML_ADMConstraints_M/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMConstraints_M_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_M::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_M::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_M::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_M::M3"); + +} diff --git a/ML_ADMConstraints_M/src/Startup.c b/ML_ADMConstraints_M/src/Startup.c new file mode 100644 index 0000000..5848108 --- /dev/null +++ b/ML_ADMConstraints_M/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMConstraints_M_Startup(void) +{ + const char * banner = "ML_ADMConstraints_M"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMConstraints_M/src/make.code.defn b/ML_ADMConstraints_M/src/make.code.defn new file mode 100644 index 0000000..ceb18b7 --- /dev/null +++ b/ML_ADMConstraints_M/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMConstraints_M.c ML_ADMConstraints_M_boundary.c Boundaries.c diff --git a/ML_ADMConstraints_MP/configuration.ccl b/ML_ADMConstraints_MP/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMConstraints_MP/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMConstraints_MP/interface.ccl b/ML_ADMConstraints_MP/interface.ccl new file mode 100644 index 0000000..384ca39 --- /dev/null +++ b/ML_ADMConstraints_MP/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMConstraints_MP + +inherits: ADMBase TmunuBase Coordinates Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Ham type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" diff --git a/ML_ADMConstraints_MP/param.ccl b/ML_ADMConstraints_MP/param.ccl new file mode 100644 index 0000000..45c3bf7 --- /dev/null +++ b/ML_ADMConstraints_MP/param.ccl @@ -0,0 +1,70 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_calc_every "ML_ADMConstraints_MP_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_boundary_calc_every "ML_ADMConstraints_MP_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_calc_offset "ML_ADMConstraints_MP_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_MP_boundary_calc_offset "ML_ADMConstraints_MP_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMConstraints_MP/schedule.ccl b/ML_ADMConstraints_MP/schedule.ccl new file mode 100644 index 0000000..9792ee2 --- /dev/null +++ b/ML_ADMConstraints_MP/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Ham[3] + +STORAGE: ML_mom[3] + +schedule ML_ADMConstraints_MP_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMConstraints_MP_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMConstraints_MP_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMConstraints_MP AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Ham + SYNC: ML_mom +} "ML_ADMConstraints_MP" + +schedule ML_ADMConstraints_MP_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMConstraints_MP +{ + LANG: C +} "ML_ADMConstraints_MP_boundary" + +schedule ML_ADMConstraints_MP_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMConstraints_MP_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMConstraints_MP_ApplyBCs in MoL_PostStep after ML_ADMConstraints_MP_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMConstraints_MP/src/Boundaries.c b/ML_ADMConstraints_MP/src/Boundaries.c new file mode 100644 index 0000000..981f196 --- /dev/null +++ b/ML_ADMConstraints_MP/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMConstraints_MP_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMConstraints_MP_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMConstraints_MP/src/Differencing.h b/ML_ADMConstraints_MP/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMConstraints_MP/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP.c b/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP.c new file mode 100644 index 0000000..07f750f --- /dev/null +++ b/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP.c @@ -0,0 +1,905 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_MP_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_MP_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_MP_calc_every != ML_ADMConstraints_MP_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_MP, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gxx = INITVALUE; + // CCTK_REAL PDstandardNth2gxx = INITVALUE; + // CCTK_REAL PDstandardNth3gxx = INITVALUE; + // CCTK_REAL PDstandardNth11gxx = INITVALUE; + // CCTK_REAL PDstandardNth22gxx = INITVALUE; + // CCTK_REAL PDstandardNth33gxx = INITVALUE; + // CCTK_REAL PDstandardNth12gxx = INITVALUE; + // CCTK_REAL PDstandardNth13gxx = INITVALUE; + // CCTK_REAL PDstandardNth23gxx = INITVALUE; + // CCTK_REAL PDstandardNth1gxy = INITVALUE; + // CCTK_REAL PDstandardNth2gxy = INITVALUE; + // CCTK_REAL PDstandardNth3gxy = INITVALUE; + // CCTK_REAL PDstandardNth11gxy = INITVALUE; + // CCTK_REAL PDstandardNth22gxy = INITVALUE; + // CCTK_REAL PDstandardNth33gxy = INITVALUE; + // CCTK_REAL PDstandardNth12gxy = INITVALUE; + // CCTK_REAL PDstandardNth13gxy = INITVALUE; + // CCTK_REAL PDstandardNth23gxy = INITVALUE; + // CCTK_REAL PDstandardNth1gxz = INITVALUE; + // CCTK_REAL PDstandardNth2gxz = INITVALUE; + // CCTK_REAL PDstandardNth3gxz = INITVALUE; + // CCTK_REAL PDstandardNth11gxz = INITVALUE; + // CCTK_REAL PDstandardNth22gxz = INITVALUE; + // CCTK_REAL PDstandardNth33gxz = INITVALUE; + // CCTK_REAL PDstandardNth12gxz = INITVALUE; + // CCTK_REAL PDstandardNth13gxz = INITVALUE; + // CCTK_REAL PDstandardNth23gxz = INITVALUE; + // CCTK_REAL PDstandardNth1gyy = INITVALUE; + // CCTK_REAL PDstandardNth2gyy = INITVALUE; + // CCTK_REAL PDstandardNth3gyy = INITVALUE; + // CCTK_REAL PDstandardNth11gyy = INITVALUE; + // CCTK_REAL PDstandardNth22gyy = INITVALUE; + // CCTK_REAL PDstandardNth33gyy = INITVALUE; + // CCTK_REAL PDstandardNth12gyy = INITVALUE; + // CCTK_REAL PDstandardNth13gyy = INITVALUE; + // CCTK_REAL PDstandardNth23gyy = INITVALUE; + // CCTK_REAL PDstandardNth1gyz = INITVALUE; + // CCTK_REAL PDstandardNth2gyz = INITVALUE; + // CCTK_REAL PDstandardNth3gyz = INITVALUE; + // CCTK_REAL PDstandardNth11gyz = INITVALUE; + // CCTK_REAL PDstandardNth22gyz = INITVALUE; + // CCTK_REAL PDstandardNth33gyz = INITVALUE; + // CCTK_REAL PDstandardNth12gyz = INITVALUE; + // CCTK_REAL PDstandardNth13gyz = INITVALUE; + // CCTK_REAL PDstandardNth23gyz = INITVALUE; + // CCTK_REAL PDstandardNth1gzz = INITVALUE; + // CCTK_REAL PDstandardNth2gzz = INITVALUE; + // CCTK_REAL PDstandardNth3gzz = INITVALUE; + // CCTK_REAL PDstandardNth11gzz = INITVALUE; + // CCTK_REAL PDstandardNth22gzz = INITVALUE; + // CCTK_REAL PDstandardNth33gzz = INITVALUE; + // CCTK_REAL PDstandardNth12gzz = INITVALUE; + // CCTK_REAL PDstandardNth13gzz = INITVALUE; + // CCTK_REAL PDstandardNth23gzz = INITVALUE; + // CCTK_REAL PDstandardNth1kxx = INITVALUE; + // CCTK_REAL PDstandardNth2kxx = INITVALUE; + // CCTK_REAL PDstandardNth3kxx = INITVALUE; + // CCTK_REAL PDstandardNth1kxy = INITVALUE; + // CCTK_REAL PDstandardNth2kxy = INITVALUE; + // CCTK_REAL PDstandardNth3kxy = INITVALUE; + // CCTK_REAL PDstandardNth1kxz = INITVALUE; + // CCTK_REAL PDstandardNth2kxz = INITVALUE; + // CCTK_REAL PDstandardNth3kxz = INITVALUE; + // CCTK_REAL PDstandardNth1kyy = INITVALUE; + // CCTK_REAL PDstandardNth2kyy = INITVALUE; + // CCTK_REAL PDstandardNth3kyy = INITVALUE; + // CCTK_REAL PDstandardNth1kyz = INITVALUE; + // CCTK_REAL PDstandardNth2kyz = INITVALUE; + // CCTK_REAL PDstandardNth3kyz = INITVALUE; + // CCTK_REAL PDstandardNth1kzz = INITVALUE; + // CCTK_REAL PDstandardNth2kzz = INITVALUE; + // CCTK_REAL PDstandardNth3kzz = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k); + CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k); + CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k); + CCTK_REAL const PDstandardNth11gxx = PDstandardNth11(gxx, i, j, k); + CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(gxx, i, j, k); + CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(gxx, i, j, k); + CCTK_REAL const PDstandardNth12gxx = PDstandardNth12(gxx, i, j, k); + CCTK_REAL const PDstandardNth13gxx = PDstandardNth13(gxx, i, j, k); + CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(gxx, i, j, k); + CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(gxy, i, j, k); + CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(gxy, i, j, k); + CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(gxy, i, j, k); + CCTK_REAL const PDstandardNth11gxy = PDstandardNth11(gxy, i, j, k); + CCTK_REAL const PDstandardNth22gxy = PDstandardNth22(gxy, i, j, k); + CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(gxy, i, j, k); + CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(gxy, i, j, k); + CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(gxy, i, j, k); + CCTK_REAL const PDstandardNth23gxy = PDstandardNth23(gxy, i, j, k); + CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(gxz, i, j, k); + CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(gxz, i, j, k); + CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(gxz, i, j, k); + CCTK_REAL const PDstandardNth11gxz = PDstandardNth11(gxz, i, j, k); + CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(gxz, i, j, k); + CCTK_REAL const PDstandardNth33gxz = PDstandardNth33(gxz, i, j, k); + CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(gxz, i, j, k); + CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(gxz, i, j, k); + CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(gxz, i, j, k); + CCTK_REAL const PDstandardNth1gyy = PDstandardNth1(gyy, i, j, k); + CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(gyy, i, j, k); + CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(gyy, i, j, k); + CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(gyy, i, j, k); + CCTK_REAL const PDstandardNth22gyy = PDstandardNth22(gyy, i, j, k); + CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(gyy, i, j, k); + CCTK_REAL const PDstandardNth12gyy = PDstandardNth12(gyy, i, j, k); + CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(gyy, i, j, k); + CCTK_REAL const PDstandardNth23gyy = PDstandardNth23(gyy, i, j, k); + CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(gyz, i, j, k); + CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(gyz, i, j, k); + CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(gyz, i, j, k); + CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(gyz, i, j, k); + CCTK_REAL const PDstandardNth22gyz = PDstandardNth22(gyz, i, j, k); + CCTK_REAL const PDstandardNth33gyz = PDstandardNth33(gyz, i, j, k); + CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(gyz, i, j, k); + CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(gyz, i, j, k); + CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(gyz, i, j, k); + CCTK_REAL const PDstandardNth1gzz = PDstandardNth1(gzz, i, j, k); + CCTK_REAL const PDstandardNth2gzz = PDstandardNth2(gzz, i, j, k); + CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(gzz, i, j, k); + CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(gzz, i, j, k); + CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(gzz, i, j, k); + CCTK_REAL const PDstandardNth33gzz = PDstandardNth33(gzz, i, j, k); + CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(gzz, i, j, k); + CCTK_REAL const PDstandardNth13gzz = PDstandardNth13(gzz, i, j, k); + CCTK_REAL const PDstandardNth23gzz = PDstandardNth23(gzz, i, j, k); + CCTK_REAL const PDstandardNth1kxx = PDstandardNth1(kxx, i, j, k); + CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(kxx, i, j, k); + CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(kxx, i, j, k); + CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(kxy, i, j, k); + CCTK_REAL const PDstandardNth2kxy = PDstandardNth2(kxy, i, j, k); + CCTK_REAL const PDstandardNth3kxy = PDstandardNth3(kxy, i, j, k); + CCTK_REAL const PDstandardNth1kxz = PDstandardNth1(kxz, i, j, k); + CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(kxz, i, j, k); + CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(kxz, i, j, k); + CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(kyy, i, j, k); + CCTK_REAL const PDstandardNth2kyy = PDstandardNth2(kyy, i, j, k); + CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(kyy, i, j, k); + CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(kyz, i, j, k); + CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(kyz, i, j, k); + CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(kyz, i, j, k); + CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k); + CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k); + CCTK_REAL const PDstandardNth3kzz = PDstandardNth3(kzz, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL); + + CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL)); + + CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg); + + CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL)); + + CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL)); + + CCTK_REAL const G111 = khalf*((gu11*J11L - gu21*J12L - gu31*J13L)*PDstandardNth1gxx + + (gu11*J21L - gu21*J22L - gu31*J23L)*PDstandardNth2gxx + (gu11*J31L - gu21*J32L - gu31*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) + + J21L*(gu21*PDstandardNth2gxy + gu31*PDstandardNth2gxz) + J31L*(gu21*PDstandardNth3gxy + gu31*PDstandardNth3gxz) + )); + + CCTK_REAL const G211 = khalf*((gu21*J11L - gu22*J12L - gu32*J13L)*PDstandardNth1gxx + + (gu21*J21L - gu22*J22L - gu32*J23L)*PDstandardNth2gxx + (gu21*J31L - gu22*J32L - gu32*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) + + J21L*(gu22*PDstandardNth2gxy + gu32*PDstandardNth2gxz) + J31L*(gu22*PDstandardNth3gxy + gu32*PDstandardNth3gxz) + )); + + CCTK_REAL const G311 = khalf*((gu31*J11L - gu32*J12L - gu33*J13L)*PDstandardNth1gxx + + (gu31*J21L - gu32*J22L - gu33*J23L)*PDstandardNth2gxx + (gu31*J31L - gu32*J32L - gu33*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) + + J21L*(gu32*PDstandardNth2gxy + gu33*PDstandardNth2gxz) + J31L*(gu32*PDstandardNth3gxy + gu33*PDstandardNth3gxz) + )); + + CCTK_REAL const G112 = khalf*(gu11*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu21*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu31*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G212 = khalf*(gu21*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu22*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu32*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G312 = khalf*(gu31*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu32*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu33*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G113 = khalf*(gu11*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu21*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu31*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G213 = khalf*(gu21*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu22*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu32*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G313 = khalf*(gu31*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu32*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu33*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G122 = khalf*(gu11*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu21*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu31*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G222 = khalf*(gu21*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu22*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu32*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G322 = khalf*(gu31*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu32*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu33*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G123 = khalf*(gu21*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu11*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu31*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G223 = khalf*(gu22*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu21*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu32*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G323 = khalf*(gu32*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu31*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu33*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G133 = khalf*(gu11*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu21*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu31*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const G233 = khalf*(gu21*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu22*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu32*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const G333 = khalf*(gu31*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu32*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu33*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const R11 = khalf*(-((dJ122L*gu22 + 2*dJ123L*gu32 + dJ133L*gu33)*PDstandardNth1gxx) + + gu32*(-4*J11L*J21L*PDstandardNth12gyz - 2*J13L*J32L*PDstandardNth13gxx + 2*J13L*J31L*PDstandardNth13gxy + + 2*J12L*J31L*PDstandardNth13gxz - 4*J11L*J31L*PDstandardNth13gyz + 2*dJ113L*PDstandardNth1gxy) + + 2*(gu22*J11L*J12L*PDstandardNth11gxy + gu32*J11L*J13L*PDstandardNth11gxy + gu32*J11L*J12L*PDstandardNth11gxz + + gu33*J11L*J13L*PDstandardNth11gxz + gu22*J12L*J21L*PDstandardNth12gxy + gu32*J13L*J21L*PDstandardNth12gxy + + gu22*J11L*J22L*PDstandardNth12gxy + gu32*J11L*J23L*PDstandardNth12gxy + gu32*J12L*J21L*PDstandardNth12gxz + + gu33*J13L*J21L*PDstandardNth12gxz + gu32*J11L*J22L*PDstandardNth12gxz + gu33*J11L*J23L*PDstandardNth12gxz + + gu22*J12L*J31L*PDstandardNth13gxy + gu22*J11L*J32L*PDstandardNth13gxy + gu32*J11L*J33L*PDstandardNth13gxy + + gu33*J13L*J31L*PDstandardNth13gxz + gu32*J11L*J32L*PDstandardNth13gxz + gu33*J11L*J33L*PDstandardNth13gxz + + dJ112L*gu22*PDstandardNth1gxy) + 2*dJ112L*gu32*PDstandardNth1gxz + 2*dJ113L*gu33*PDstandardNth1gxz - + dJ111L*gu22*PDstandardNth1gyy - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 + + gu32*J12L*J13L*PDstandardNth11gxx + gu22*J12L*J22L*PDstandardNth12gxx + gu32*J13L*J22L*PDstandardNth12gxx + + gu32*J12L*J23L*PDstandardNth12gxx + gu33*J13L*J23L*PDstandardNth12gxx + gu22*J11L*J21L*PDstandardNth12gyy + + gu33*J11L*J21L*PDstandardNth12gzz + gu22*J12L*J32L*PDstandardNth13gxx + gu32*J12L*J33L*PDstandardNth13gxx + + gu33*J13L*J33L*PDstandardNth13gxx + gu22*J11L*J31L*PDstandardNth13gyy + gu33*J11L*J31L*PDstandardNth13gzz + + dJ111L*gu32*PDstandardNth1gyz) - dJ111L*gu33*PDstandardNth1gzz - 2*gu32*J22L*J23L*PDstandardNth22gxx + + 2*gu22*J21L*J22L*PDstandardNth22gxy + 2*gu32*J21L*J23L*PDstandardNth22gxy + 2*gu32*J21L*J22L*PDstandardNth22gxz + + 2*gu33*J21L*J23L*PDstandardNth22gxz - 2*gu22*J22L*J32L*PDstandardNth23gxx - 2*gu32*J23L*J32L*PDstandardNth23gxx - + 2*gu32*J22L*J33L*PDstandardNth23gxx - 2*gu33*J23L*J33L*PDstandardNth23gxx + 2*gu22*J22L*J31L*PDstandardNth23gxy + + 2*gu32*J23L*J31L*PDstandardNth23gxy + 2*gu22*J21L*J32L*PDstandardNth23gxy + 2*gu32*J21L*J33L*PDstandardNth23gxy + + 2*gu32*J22L*J31L*PDstandardNth23gxz + 2*gu33*J23L*J31L*PDstandardNth23gxz + 2*gu32*J21L*J32L*PDstandardNth23gxz + + 2*gu33*J21L*J33L*PDstandardNth23gxz - 2*gu22*J21L*J31L*PDstandardNth23gyy - 4*gu32*J21L*J31L*PDstandardNth23gyz - + 2*gu33*J21L*J31L*PDstandardNth23gzz - (dJ222L*gu22 + 2*dJ223L*gu32 + dJ233L*gu33)*PDstandardNth2gxx + + 2*dJ212L*gu22*PDstandardNth2gxy + 2*dJ213L*gu32*PDstandardNth2gxy + 2*dJ212L*gu32*PDstandardNth2gxz + + 2*dJ213L*gu33*PDstandardNth2gxz - dJ211L*gu22*PDstandardNth2gyy - 2*dJ211L*gu32*PDstandardNth2gyz - + dJ211L*gu33*PDstandardNth2gzz - 2*gu32*J32L*J33L*PDstandardNth33gxx + 2*gu22*J31L*J32L*PDstandardNth33gxy + + 2*gu32*J31L*J33L*PDstandardNth33gxy + 2*gu32*J31L*J32L*PDstandardNth33gxz + 2*gu33*J31L*J33L*PDstandardNth33gxz - + dJ322L*gu22*PDstandardNth3gxx - 2*dJ323L*gu32*PDstandardNth3gxx - dJ333L*gu33*PDstandardNth3gxx + + 2*dJ312L*gu22*PDstandardNth3gxy + 2*dJ313L*gu32*PDstandardNth3gxy + 2*dJ312L*gu32*PDstandardNth3gxz + + 2*dJ313L*gu33*PDstandardNth3gxz - dJ311L*gu22*PDstandardNth3gyy - 2*dJ311L*gu32*PDstandardNth3gyz - + dJ311L*gu33*PDstandardNth3gzz + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + + 2*SQR(G313) - gu22*PDstandardNth11gyy*SQR(J11L) - 2*gu32*PDstandardNth11gyz*SQR(J11L) - + gu33*PDstandardNth11gzz*SQR(J11L) - gu22*PDstandardNth11gxx*SQR(J12L) - gu33*PDstandardNth11gxx*SQR(J13L) - + gu22*PDstandardNth22gyy*SQR(J21L) - 2*gu32*PDstandardNth22gyz*SQR(J21L) - gu33*PDstandardNth22gzz*SQR(J21L) - + gu22*PDstandardNth22gxx*SQR(J22L) - gu33*PDstandardNth22gxx*SQR(J23L) - gu22*PDstandardNth33gyy*SQR(J31L) - + 2*gu32*PDstandardNth33gyz*SQR(J31L) - gu33*PDstandardNth33gzz*SQR(J31L) - gu22*PDstandardNth33gxx*SQR(J32L) - + gu33*PDstandardNth33gxx*SQR(J33L)); + + CCTK_REAL const R12 = G113*G123 - G112*G133 + G211*G212 + G212*G222 + G213*G223 - G212*(G211 + G222 + G233) + G311*G312 + G312*G322 + + G313*G323 - G312*(G311 + G322 + G333) + khalf* + (gu32*(-(J13L*J22L*PDstandardNth12gxy) + J12L*J23L*PDstandardNth12gxy + + (J13L*J22L - J12L*J23L)*PDstandardNth12gxy - J13L*J32L*PDstandardNth13gxy + J12L*J33L*PDstandardNth13gxy + + (J13L*J32L - J12L*J33L)*PDstandardNth13gxy) + + gu22*(-(J12L*J21L*PDstandardNth12gyy) + J11L*J22L*PDstandardNth12gyy + + (J12L*J21L - J11L*J22L)*PDstandardNth12gyy - J12L*J31L*PDstandardNth13gyy + J11L*J32L*PDstandardNth13gyy + + (J12L*J31L - J11L*J32L)*PDstandardNth13gyy) + + gu31*(J12L*J13L*PDstandardNth11gxx - J11L*J13L*PDstandardNth11gxy - J11L*J12L*PDstandardNth11gxz + + J13L*J22L*PDstandardNth12gxx + J12L*J23L*PDstandardNth12gxx - J13L*J21L*PDstandardNth12gxy - + J11L*J23L*PDstandardNth12gxy - J12L*J21L*PDstandardNth12gxz - J11L*J22L*PDstandardNth12gxz + + 2*J11L*J21L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxx + J12L*J33L*PDstandardNth13gxx - + J13L*J31L*PDstandardNth13gxy - J11L*J33L*PDstandardNth13gxy - J12L*J31L*PDstandardNth13gxz - + J11L*J32L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxx - + dJ113L*PDstandardNth1gxy - dJ112L*PDstandardNth1gxz + dJ111L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxx - J21L*J23L*PDstandardNth22gxy - J21L*J22L*PDstandardNth22gxz + + J23L*J32L*PDstandardNth23gxx + J22L*J33L*PDstandardNth23gxx - J23L*J31L*PDstandardNth23gxy - + J21L*J33L*PDstandardNth23gxy - J22L*J31L*PDstandardNth23gxz - J21L*J32L*PDstandardNth23gxz + + 2*J21L*J31L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxx - dJ213L*PDstandardNth2gxy - + dJ212L*PDstandardNth2gxz + dJ211L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxx - + J31L*J33L*PDstandardNth33gxy - J31L*J32L*PDstandardNth33gxz + dJ323L*PDstandardNth3gxx - + dJ313L*PDstandardNth3gxy - dJ312L*PDstandardNth3gxz + dJ311L*PDstandardNth3gyz + + PDstandardNth11gyz*SQR(J11L) + PDstandardNth22gyz*SQR(J21L) + PDstandardNth33gyz*SQR(J31L)) + + gu21*(-2*J11L*J12L*PDstandardNth11gxy + 2*J12L*J22L*PDstandardNth12gxx - 2*J12L*J21L*PDstandardNth12gxy - + 2*J11L*J22L*PDstandardNth12gxy + 2*J11L*J21L*PDstandardNth12gyy + 2*J12L*J32L*PDstandardNth13gxx - + 2*J12L*J31L*PDstandardNth13gxy - 2*J11L*J32L*PDstandardNth13gxy + 2*J11L*J31L*PDstandardNth13gyy + + dJ122L*PDstandardNth1gxx - 2*dJ112L*PDstandardNth1gxy + dJ111L*PDstandardNth1gyy - + 2*J21L*J22L*PDstandardNth22gxy + 2*J22L*J32L*PDstandardNth23gxx - 2*J22L*J31L*PDstandardNth23gxy - + 2*J21L*J32L*PDstandardNth23gxy + 2*J21L*J31L*PDstandardNth23gyy + dJ222L*PDstandardNth2gxx - + 2*dJ212L*PDstandardNth2gxy + dJ211L*PDstandardNth2gyy - 2*J31L*J32L*PDstandardNth33gxy + + dJ322L*PDstandardNth3gxx - 2*dJ312L*PDstandardNth3gxy + dJ311L*PDstandardNth3gyy + + PDstandardNth11gyy*SQR(J11L) + PDstandardNth11gxx*SQR(J12L) + PDstandardNth22gyy*SQR(J21L) + + PDstandardNth22gxx*SQR(J22L) + PDstandardNth33gyy*SQR(J31L) + PDstandardNth33gxx*SQR(J32L)) + + gu32*(-(J12L*J13L*PDstandardNth11gxy) + J11L*J13L*PDstandardNth11gyy - J11L*J12L*PDstandardNth11gyz - + J13L*J22L*PDstandardNth12gxy - J12L*J23L*PDstandardNth12gxy + 2*J12L*J22L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyy + J11L*J23L*PDstandardNth12gyy - J12L*J21L*PDstandardNth12gyz - + J11L*J22L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxy - J12L*J33L*PDstandardNth13gxy + + 2*J12L*J32L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyy + J11L*J33L*PDstandardNth13gyy - + J12L*J31L*PDstandardNth13gyz - J11L*J32L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxy + + dJ122L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyy - dJ112L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxy + J21L*J23L*PDstandardNth22gyy - J21L*J22L*PDstandardNth22gyz - + J23L*J32L*PDstandardNth23gxy - J22L*J33L*PDstandardNth23gxy + 2*J22L*J32L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyy + J21L*J33L*PDstandardNth23gyy - J22L*J31L*PDstandardNth23gyz - + J21L*J32L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxy + dJ222L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyy - dJ212L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxy + + J31L*J33L*PDstandardNth33gyy - J31L*J32L*PDstandardNth33gyz - dJ323L*PDstandardNth3gxy + + dJ322L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyy - dJ312L*PDstandardNth3gyz + + PDstandardNth11gxz*SQR(J12L) + PDstandardNth22gxz*SQR(J22L) + PDstandardNth33gxz*SQR(J32L)) + + gu33*(J12L*J13L*PDstandardNth11gxz + J11L*J13L*PDstandardNth11gyz - J11L*J12L*PDstandardNth11gzz - + 2*J13L*J23L*PDstandardNth12gxy + J13L*J22L*PDstandardNth12gxz + J12L*J23L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyz + J11L*J23L*PDstandardNth12gyz - J12L*J21L*PDstandardNth12gzz - + J11L*J22L*PDstandardNth12gzz - 2*J13L*J33L*PDstandardNth13gxy + J13L*J32L*PDstandardNth13gxz + + J12L*J33L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyz + J11L*J33L*PDstandardNth13gyz - + J12L*J31L*PDstandardNth13gzz - J11L*J32L*PDstandardNth13gzz - dJ133L*PDstandardNth1gxy + + dJ123L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyz - dJ112L*PDstandardNth1gzz + + J22L*J23L*PDstandardNth22gxz + J21L*J23L*PDstandardNth22gyz - J21L*J22L*PDstandardNth22gzz - + 2*J23L*J33L*PDstandardNth23gxy + J23L*J32L*PDstandardNth23gxz + J22L*J33L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyz + J21L*J33L*PDstandardNth23gyz - J22L*J31L*PDstandardNth23gzz - + J21L*J32L*PDstandardNth23gzz - dJ233L*PDstandardNth2gxy + dJ223L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyz - dJ212L*PDstandardNth2gzz + J32L*J33L*PDstandardNth33gxz + + J31L*J33L*PDstandardNth33gyz - J31L*J32L*PDstandardNth33gzz - dJ333L*PDstandardNth3gxy + + dJ323L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyz - dJ312L*PDstandardNth3gzz - + PDstandardNth11gxy*SQR(J13L) - PDstandardNth22gxy*SQR(J23L) - PDstandardNth33gxy*SQR(J33L))); + + CCTK_REAL const R13 = -(G113*G122) + G112*G123 + G211*G213 + G212*G223 + G213*G233 - G213*(G211 + G222 + G233) + G311*G313 + + G312*G323 + G313*G333 - G313*(G311 + G322 + G333) + + khalf*(gu32*(J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz + + (-(J13L*J22L) + J12L*J23L)*PDstandardNth12gxz + J13L*J32L*PDstandardNth13gxz - J12L*J33L*PDstandardNth13gxz + + (-(J13L*J32L) + J12L*J33L)*PDstandardNth13gxz) + + gu33*(-(J13L*J21L*PDstandardNth12gzz) + J11L*J23L*PDstandardNth12gzz + + (J13L*J21L - J11L*J23L)*PDstandardNth12gzz - J13L*J31L*PDstandardNth13gzz + J11L*J33L*PDstandardNth13gzz + + (J13L*J31L - J11L*J33L)*PDstandardNth13gzz) + + gu21*(J12L*J13L*PDstandardNth11gxx - J11L*J13L*PDstandardNth11gxy - J11L*J12L*PDstandardNth11gxz + + J13L*J22L*PDstandardNth12gxx + J12L*J23L*PDstandardNth12gxx - J13L*J21L*PDstandardNth12gxy - + J11L*J23L*PDstandardNth12gxy - J12L*J21L*PDstandardNth12gxz - J11L*J22L*PDstandardNth12gxz + + 2*J11L*J21L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxx + J12L*J33L*PDstandardNth13gxx - + J13L*J31L*PDstandardNth13gxy - J11L*J33L*PDstandardNth13gxy - J12L*J31L*PDstandardNth13gxz - + J11L*J32L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxx - + dJ113L*PDstandardNth1gxy - dJ112L*PDstandardNth1gxz + dJ111L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxx - J21L*J23L*PDstandardNth22gxy - J21L*J22L*PDstandardNth22gxz + + J23L*J32L*PDstandardNth23gxx + J22L*J33L*PDstandardNth23gxx - J23L*J31L*PDstandardNth23gxy - + J21L*J33L*PDstandardNth23gxy - J22L*J31L*PDstandardNth23gxz - J21L*J32L*PDstandardNth23gxz + + 2*J21L*J31L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxx - dJ213L*PDstandardNth2gxy - + dJ212L*PDstandardNth2gxz + dJ211L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxx - + J31L*J33L*PDstandardNth33gxy - J31L*J32L*PDstandardNth33gxz + dJ323L*PDstandardNth3gxx - + dJ313L*PDstandardNth3gxy - dJ312L*PDstandardNth3gxz + dJ311L*PDstandardNth3gyz + + PDstandardNth11gyz*SQR(J11L) + PDstandardNth22gyz*SQR(J21L) + PDstandardNth33gyz*SQR(J31L)) + + gu22*(J12L*J13L*PDstandardNth11gxy - J11L*J13L*PDstandardNth11gyy + J11L*J12L*PDstandardNth11gyz + + J13L*J22L*PDstandardNth12gxy + J12L*J23L*PDstandardNth12gxy - 2*J12L*J22L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyy - J11L*J23L*PDstandardNth12gyy + J12L*J21L*PDstandardNth12gyz + + J11L*J22L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxy + J12L*J33L*PDstandardNth13gxy - + 2*J12L*J32L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyy - J11L*J33L*PDstandardNth13gyy + + J12L*J31L*PDstandardNth13gyz + J11L*J32L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxy - + dJ122L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyy + dJ112L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxy - J21L*J23L*PDstandardNth22gyy + J21L*J22L*PDstandardNth22gyz + + J23L*J32L*PDstandardNth23gxy + J22L*J33L*PDstandardNth23gxy - 2*J22L*J32L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyy - J21L*J33L*PDstandardNth23gyy + J22L*J31L*PDstandardNth23gyz + + J21L*J32L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxy - dJ222L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyy + dJ212L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxy - + J31L*J33L*PDstandardNth33gyy + J31L*J32L*PDstandardNth33gyz + dJ323L*PDstandardNth3gxy - + dJ322L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyy + dJ312L*PDstandardNth3gyz - + PDstandardNth11gxz*SQR(J12L) - PDstandardNth22gxz*SQR(J22L) - PDstandardNth33gxz*SQR(J32L)) + + gu31*(-2*J11L*J13L*PDstandardNth11gxz + 2*J13L*J23L*PDstandardNth12gxx - 2*J13L*J21L*PDstandardNth12gxz - + 2*J11L*J23L*PDstandardNth12gxz + 2*J11L*J21L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxx - + 2*J13L*J31L*PDstandardNth13gxz - 2*J11L*J33L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gzz + + dJ133L*PDstandardNth1gxx - 2*dJ113L*PDstandardNth1gxz + dJ111L*PDstandardNth1gzz - + 2*J21L*J23L*PDstandardNth22gxz + 2*J23L*J33L*PDstandardNth23gxx - 2*J23L*J31L*PDstandardNth23gxz - + 2*J21L*J33L*PDstandardNth23gxz + 2*J21L*J31L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxx - + 2*dJ213L*PDstandardNth2gxz + dJ211L*PDstandardNth2gzz - 2*J31L*J33L*PDstandardNth33gxz + + dJ333L*PDstandardNth3gxx - 2*dJ313L*PDstandardNth3gxz + dJ311L*PDstandardNth3gzz + + PDstandardNth11gzz*SQR(J11L) + PDstandardNth11gxx*SQR(J13L) + PDstandardNth22gzz*SQR(J21L) + + PDstandardNth22gxx*SQR(J23L) + PDstandardNth33gzz*SQR(J31L) + PDstandardNth33gxx*SQR(J33L)) + + gu32*(-(J12L*J13L*PDstandardNth11gxz) - J11L*J13L*PDstandardNth11gyz + J11L*J12L*PDstandardNth11gzz + + 2*J13L*J23L*PDstandardNth12gxy - J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyz - J11L*J23L*PDstandardNth12gyz + J12L*J21L*PDstandardNth12gzz + + J11L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxy - J13L*J32L*PDstandardNth13gxz - + J12L*J33L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyz - J11L*J33L*PDstandardNth13gyz + + J12L*J31L*PDstandardNth13gzz + J11L*J32L*PDstandardNth13gzz + dJ133L*PDstandardNth1gxy - + dJ123L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyz + dJ112L*PDstandardNth1gzz - + J22L*J23L*PDstandardNth22gxz - J21L*J23L*PDstandardNth22gyz + J21L*J22L*PDstandardNth22gzz + + 2*J23L*J33L*PDstandardNth23gxy - J23L*J32L*PDstandardNth23gxz - J22L*J33L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyz - J21L*J33L*PDstandardNth23gyz + J22L*J31L*PDstandardNth23gzz + + J21L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxy - dJ223L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyz + dJ212L*PDstandardNth2gzz - J32L*J33L*PDstandardNth33gxz - + J31L*J33L*PDstandardNth33gyz + J31L*J32L*PDstandardNth33gzz + dJ333L*PDstandardNth3gxy - + dJ323L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyz + dJ312L*PDstandardNth3gzz + + PDstandardNth11gxy*SQR(J13L) + PDstandardNth22gxy*SQR(J23L) + PDstandardNth33gxy*SQR(J33L))); + + CCTK_REAL const R22 = khalf*(-(dJ122L*gu11*PDstandardNth1gxx) + + gu31*(-4*J12L*J22L*PDstandardNth12gxz - 2*J13L*J21L*PDstandardNth12gyy + 2*J11L*J22L*PDstandardNth12gyz + + 2*J13L*J32L*PDstandardNth13gxy - 4*J12L*J32L*PDstandardNth13gxz - 2*J13L*J31L*PDstandardNth13gyy + + 2*J11L*J32L*PDstandardNth13gyz + 2*dJ123L*PDstandardNth1gxy) + + 2*(gu11*J11L*J12L*PDstandardNth11gxy + gu31*J12L*J13L*PDstandardNth11gxy + gu31*J11L*J12L*PDstandardNth11gyz + + gu33*J12L*J13L*PDstandardNth11gyz + gu11*J12L*J21L*PDstandardNth12gxy + gu11*J11L*J22L*PDstandardNth12gxy + + gu31*J13L*J22L*PDstandardNth12gxy + gu31*J12L*J23L*PDstandardNth12gxy + gu31*J12L*J21L*PDstandardNth12gyz + + gu33*J13L*J22L*PDstandardNth12gyz + gu33*J12L*J23L*PDstandardNth12gyz + gu11*J12L*J31L*PDstandardNth13gxy + + gu11*J11L*J32L*PDstandardNth13gxy + gu31*J12L*J33L*PDstandardNth13gxy + gu31*J12L*J31L*PDstandardNth13gyz + + gu33*J13L*J32L*PDstandardNth13gyz + gu33*J12L*J33L*PDstandardNth13gyz + dJ112L*gu11*PDstandardNth1gxy) - + 2*(G111*G122 + G122*G133 + G211*G222 + G222*G233 + G311*G322 + G322*G333 + gu31*J11L*J13L*PDstandardNth11gyy + + gu11*J12L*J22L*PDstandardNth12gxx + gu11*J11L*J21L*PDstandardNth12gyy + gu31*J11L*J23L*PDstandardNth12gyy + + gu33*J13L*J23L*PDstandardNth12gyy + gu33*J12L*J22L*PDstandardNth12gzz + gu11*J12L*J32L*PDstandardNth13gxx + + gu11*J11L*J31L*PDstandardNth13gyy + gu31*J11L*J33L*PDstandardNth13gyy + gu33*J13L*J33L*PDstandardNth13gyy + + gu33*J12L*J32L*PDstandardNth13gzz + dJ122L*gu31*PDstandardNth1gxz) - dJ111L*gu11*PDstandardNth1gyy - + 2*dJ113L*gu31*PDstandardNth1gyy - dJ133L*gu33*PDstandardNth1gyy + 2*dJ112L*gu31*PDstandardNth1gyz + + 2*dJ123L*gu33*PDstandardNth1gyz - dJ122L*gu33*PDstandardNth1gzz + 2*gu11*J21L*J22L*PDstandardNth22gxy + + 2*gu31*J22L*J23L*PDstandardNth22gxy - 2*gu31*J21L*J23L*PDstandardNth22gyy + 2*gu31*J21L*J22L*PDstandardNth22gyz + + 2*gu33*J22L*J23L*PDstandardNth22gyz - 2*gu11*J22L*J32L*PDstandardNth23gxx + 2*gu11*J22L*J31L*PDstandardNth23gxy + + 2*gu11*J21L*J32L*PDstandardNth23gxy + 2*gu31*J23L*J32L*PDstandardNth23gxy + 2*gu31*J22L*J33L*PDstandardNth23gxy - + 4*gu31*J22L*J32L*PDstandardNth23gxz - 2*gu11*J21L*J31L*PDstandardNth23gyy - 2*gu31*J23L*J31L*PDstandardNth23gyy - + 2*gu31*J21L*J33L*PDstandardNth23gyy - 2*gu33*J23L*J33L*PDstandardNth23gyy + 2*gu31*J22L*J31L*PDstandardNth23gyz + + 2*gu31*J21L*J32L*PDstandardNth23gyz + 2*gu33*J23L*J32L*PDstandardNth23gyz + 2*gu33*J22L*J33L*PDstandardNth23gyz - + 2*gu33*J22L*J32L*PDstandardNth23gzz - dJ222L*gu11*PDstandardNth2gxx + 2*dJ212L*gu11*PDstandardNth2gxy + + 2*dJ223L*gu31*PDstandardNth2gxy - 2*dJ222L*gu31*PDstandardNth2gxz - dJ211L*gu11*PDstandardNth2gyy - + 2*dJ213L*gu31*PDstandardNth2gyy - dJ233L*gu33*PDstandardNth2gyy + 2*dJ212L*gu31*PDstandardNth2gyz + + 2*dJ223L*gu33*PDstandardNth2gyz - dJ222L*gu33*PDstandardNth2gzz + 2*gu11*J31L*J32L*PDstandardNth33gxy + + 2*gu31*J32L*J33L*PDstandardNth33gxy - 2*gu31*J31L*J33L*PDstandardNth33gyy + 2*gu31*J31L*J32L*PDstandardNth33gyz + + 2*gu33*J32L*J33L*PDstandardNth33gyz - dJ322L*gu11*PDstandardNth3gxx + 2*dJ312L*gu11*PDstandardNth3gxy + + 2*dJ323L*gu31*PDstandardNth3gxy - 2*dJ322L*gu31*PDstandardNth3gxz - dJ311L*gu11*PDstandardNth3gyy - + 2*dJ313L*gu31*PDstandardNth3gyy - dJ333L*gu33*PDstandardNth3gyy + 2*dJ312L*gu31*PDstandardNth3gyz + + 2*dJ323L*gu33*PDstandardNth3gyz - dJ322L*gu33*PDstandardNth3gzz + 2*SQR(G112) + 2*SQR(G123) + 2*SQR(G212) + + 2*SQR(G223) + 2*SQR(G312) + 2*SQR(G323) - gu11*PDstandardNth11gyy*SQR(J11L) - gu11*PDstandardNth11gxx*SQR(J12L) - + 2*gu31*PDstandardNth11gxz*SQR(J12L) - gu33*PDstandardNth11gzz*SQR(J12L) - gu33*PDstandardNth11gyy*SQR(J13L) - + gu11*PDstandardNth22gyy*SQR(J21L) - gu11*PDstandardNth22gxx*SQR(J22L) - 2*gu31*PDstandardNth22gxz*SQR(J22L) - + gu33*PDstandardNth22gzz*SQR(J22L) - gu33*PDstandardNth22gyy*SQR(J23L) - gu11*PDstandardNth33gyy*SQR(J31L) - + gu11*PDstandardNth33gxx*SQR(J32L) - 2*gu31*PDstandardNth33gxz*SQR(J32L) - gu33*PDstandardNth33gzz*SQR(J32L) - + gu33*PDstandardNth33gyy*SQR(J33L)); + + CCTK_REAL const R23 = G112*G113 - G111*G123 + G212*G213 + G222*G223 + G223*G233 - G223*(G211 + G222 + G233) + G312*G313 + G322*G323 + + G323*G333 - G323*(G311 + G322 + G333) + khalf* + (gu31*(-(J13L*J22L*PDstandardNth12gxz) + J12L*J23L*PDstandardNth12gxz + + (J13L*J22L - J12L*J23L)*PDstandardNth12gxz - J13L*J32L*PDstandardNth13gxz + J12L*J33L*PDstandardNth13gxz + + (J13L*J32L - J12L*J33L)*PDstandardNth13gxz) + + gu33*(-(J13L*J22L*PDstandardNth12gzz) + J12L*J23L*PDstandardNth12gzz + + (J13L*J22L - J12L*J23L)*PDstandardNth12gzz - J13L*J32L*PDstandardNth13gzz + J12L*J33L*PDstandardNth13gzz + + (J13L*J32L - J12L*J33L)*PDstandardNth13gzz) + + gu11*(-(J12L*J13L*PDstandardNth11gxx) + J11L*J13L*PDstandardNth11gxy + J11L*J12L*PDstandardNth11gxz - + J13L*J22L*PDstandardNth12gxx - J12L*J23L*PDstandardNth12gxx + J13L*J21L*PDstandardNth12gxy + + J11L*J23L*PDstandardNth12gxy + J12L*J21L*PDstandardNth12gxz + J11L*J22L*PDstandardNth12gxz - + 2*J11L*J21L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxx - J12L*J33L*PDstandardNth13gxx + + J13L*J31L*PDstandardNth13gxy + J11L*J33L*PDstandardNth13gxy + J12L*J31L*PDstandardNth13gxz + + J11L*J32L*PDstandardNth13gxz - 2*J11L*J31L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxx + + dJ113L*PDstandardNth1gxy + dJ112L*PDstandardNth1gxz - dJ111L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxx + J21L*J23L*PDstandardNth22gxy + J21L*J22L*PDstandardNth22gxz - + J23L*J32L*PDstandardNth23gxx - J22L*J33L*PDstandardNth23gxx + J23L*J31L*PDstandardNth23gxy + + J21L*J33L*PDstandardNth23gxy + J22L*J31L*PDstandardNth23gxz + J21L*J32L*PDstandardNth23gxz - + 2*J21L*J31L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxx + dJ213L*PDstandardNth2gxy + + dJ212L*PDstandardNth2gxz - dJ211L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxx + + J31L*J33L*PDstandardNth33gxy + J31L*J32L*PDstandardNth33gxz - dJ323L*PDstandardNth3gxx + + dJ313L*PDstandardNth3gxy + dJ312L*PDstandardNth3gxz - dJ311L*PDstandardNth3gyz - + PDstandardNth11gyz*SQR(J11L) - PDstandardNth22gyz*SQR(J21L) - PDstandardNth33gyz*SQR(J31L)) + + gu21*(-(J12L*J13L*PDstandardNth11gxy) + J11L*J13L*PDstandardNth11gyy - J11L*J12L*PDstandardNth11gyz - + J13L*J22L*PDstandardNth12gxy - J12L*J23L*PDstandardNth12gxy + 2*J12L*J22L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyy + J11L*J23L*PDstandardNth12gyy - J12L*J21L*PDstandardNth12gyz - + J11L*J22L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxy - J12L*J33L*PDstandardNth13gxy + + 2*J12L*J32L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyy + J11L*J33L*PDstandardNth13gyy - + J12L*J31L*PDstandardNth13gyz - J11L*J32L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxy + + dJ122L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyy - dJ112L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxy + J21L*J23L*PDstandardNth22gyy - J21L*J22L*PDstandardNth22gyz - + J23L*J32L*PDstandardNth23gxy - J22L*J33L*PDstandardNth23gxy + 2*J22L*J32L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyy + J21L*J33L*PDstandardNth23gyy - J22L*J31L*PDstandardNth23gyz - + J21L*J32L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxy + dJ222L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyy - dJ212L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxy + + J31L*J33L*PDstandardNth33gyy - J31L*J32L*PDstandardNth33gyz - dJ323L*PDstandardNth3gxy + + dJ322L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyy - dJ312L*PDstandardNth3gyz + + PDstandardNth11gxz*SQR(J12L) + PDstandardNth22gxz*SQR(J22L) + PDstandardNth33gxz*SQR(J32L)) + + gu31*(-(J12L*J13L*PDstandardNth11gxz) - J11L*J13L*PDstandardNth11gyz + J11L*J12L*PDstandardNth11gzz + + 2*J13L*J23L*PDstandardNth12gxy - J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyz - J11L*J23L*PDstandardNth12gyz + J12L*J21L*PDstandardNth12gzz + + J11L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxy - J13L*J32L*PDstandardNth13gxz - + J12L*J33L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyz - J11L*J33L*PDstandardNth13gyz + + J12L*J31L*PDstandardNth13gzz + J11L*J32L*PDstandardNth13gzz + dJ133L*PDstandardNth1gxy - + dJ123L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyz + dJ112L*PDstandardNth1gzz - + J22L*J23L*PDstandardNth22gxz - J21L*J23L*PDstandardNth22gyz + J21L*J22L*PDstandardNth22gzz + + 2*J23L*J33L*PDstandardNth23gxy - J23L*J32L*PDstandardNth23gxz - J22L*J33L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyz - J21L*J33L*PDstandardNth23gyz + J22L*J31L*PDstandardNth23gzz + + J21L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxy - dJ223L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyz + dJ212L*PDstandardNth2gzz - J32L*J33L*PDstandardNth33gxz - + J31L*J33L*PDstandardNth33gyz + J31L*J32L*PDstandardNth33gzz + dJ333L*PDstandardNth3gxy - + dJ323L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyz + dJ312L*PDstandardNth3gzz + + PDstandardNth11gxy*SQR(J13L) + PDstandardNth22gxy*SQR(J23L) + PDstandardNth33gxy*SQR(J33L)) + + gu32*(-2*J12L*J13L*PDstandardNth11gyz + 2*J13L*J23L*PDstandardNth12gyy - 2*J13L*J22L*PDstandardNth12gyz - + 2*J12L*J23L*PDstandardNth12gyz + 2*J12L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gyy - + 2*J13L*J32L*PDstandardNth13gyz - 2*J12L*J33L*PDstandardNth13gyz + 2*J12L*J32L*PDstandardNth13gzz + + dJ133L*PDstandardNth1gyy - 2*dJ123L*PDstandardNth1gyz + dJ122L*PDstandardNth1gzz - + 2*J22L*J23L*PDstandardNth22gyz + 2*J23L*J33L*PDstandardNth23gyy - 2*J23L*J32L*PDstandardNth23gyz - + 2*J22L*J33L*PDstandardNth23gyz + 2*J22L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gyy - + 2*dJ223L*PDstandardNth2gyz + dJ222L*PDstandardNth2gzz - 2*J32L*J33L*PDstandardNth33gyz + + dJ333L*PDstandardNth3gyy - 2*dJ323L*PDstandardNth3gyz + dJ322L*PDstandardNth3gzz + + PDstandardNth11gzz*SQR(J12L) + PDstandardNth11gyy*SQR(J13L) + PDstandardNth22gzz*SQR(J22L) + + PDstandardNth22gyy*SQR(J23L) + PDstandardNth33gzz*SQR(J32L) + PDstandardNth33gyy*SQR(J33L))); + + CCTK_REAL const R33 = khalf*(-(dJ133L*gu11*PDstandardNth1gxx) + + gu21*(-4*J13L*J23L*PDstandardNth12gxy + 2*J13L*J22L*PDstandardNth12gxz + 2*J13L*J21L*PDstandardNth12gyz - + 2*J12L*J21L*PDstandardNth12gzz - 4*J13L*J33L*PDstandardNth13gxy + 2*J13L*J32L*PDstandardNth13gxz + + 2*J13L*J31L*PDstandardNth13gyz - 2*J12L*J31L*PDstandardNth13gzz - 2*dJ133L*PDstandardNth1gxy) + + 2*dJ123L*gu21*PDstandardNth1gxz + 2*(gu11*J11L*J13L*PDstandardNth11gxz + gu21*J12L*J13L*PDstandardNth11gxz + + gu21*J11L*J13L*PDstandardNth11gyz + gu22*J12L*J13L*PDstandardNth11gyz + gu11*J13L*J21L*PDstandardNth12gxz + + gu11*J11L*J23L*PDstandardNth12gxz + gu21*J12L*J23L*PDstandardNth12gxz + gu22*J13L*J22L*PDstandardNth12gyz + + gu21*J11L*J23L*PDstandardNth12gyz + gu22*J12L*J23L*PDstandardNth12gyz + gu11*J13L*J31L*PDstandardNth13gxz + + gu11*J11L*J33L*PDstandardNth13gxz + gu21*J12L*J33L*PDstandardNth13gxz + gu22*J13L*J32L*PDstandardNth13gyz + + gu21*J11L*J33L*PDstandardNth13gyz + gu22*J12L*J33L*PDstandardNth13gyz + dJ113L*gu11*PDstandardNth1gxz) - + dJ133L*gu22*PDstandardNth1gyy + 2*dJ113L*gu21*PDstandardNth1gyz + 2*dJ123L*gu22*PDstandardNth1gyz - + dJ111L*gu11*PDstandardNth1gzz - dJ122L*gu22*PDstandardNth1gzz - + 2*(G111*G133 + G122*G133 + G211*G233 + G222*G233 + G311*G333 + G322*G333 + gu21*J11L*J12L*PDstandardNth11gzz + + gu11*J13L*J23L*PDstandardNth12gxx + gu22*J13L*J23L*PDstandardNth12gyy + gu11*J11L*J21L*PDstandardNth12gzz + + gu21*J11L*J22L*PDstandardNth12gzz + gu22*J12L*J22L*PDstandardNth12gzz + gu11*J13L*J33L*PDstandardNth13gxx + + gu22*J13L*J33L*PDstandardNth13gyy + gu11*J11L*J31L*PDstandardNth13gzz + gu21*J11L*J32L*PDstandardNth13gzz + + gu22*J12L*J32L*PDstandardNth13gzz + dJ112L*gu21*PDstandardNth1gzz) + 2*gu11*J21L*J23L*PDstandardNth22gxz + + 2*gu21*J22L*J23L*PDstandardNth22gxz + 2*gu21*J21L*J23L*PDstandardNth22gyz + 2*gu22*J22L*J23L*PDstandardNth22gyz - + 2*gu21*J21L*J22L*PDstandardNth22gzz - 2*gu11*J23L*J33L*PDstandardNth23gxx - 4*gu21*J23L*J33L*PDstandardNth23gxy + + 2*gu11*J23L*J31L*PDstandardNth23gxz + 2*gu21*J23L*J32L*PDstandardNth23gxz + 2*gu11*J21L*J33L*PDstandardNth23gxz + + 2*gu21*J22L*J33L*PDstandardNth23gxz - 2*gu22*J23L*J33L*PDstandardNth23gyy + 2*gu21*J23L*J31L*PDstandardNth23gyz + + 2*gu22*J23L*J32L*PDstandardNth23gyz + 2*gu21*J21L*J33L*PDstandardNth23gyz + 2*gu22*J22L*J33L*PDstandardNth23gyz - + 2*gu11*J21L*J31L*PDstandardNth23gzz - 2*gu21*J22L*J31L*PDstandardNth23gzz - 2*gu21*J21L*J32L*PDstandardNth23gzz - + 2*gu22*J22L*J32L*PDstandardNth23gzz - dJ233L*gu11*PDstandardNth2gxx - 2*dJ233L*gu21*PDstandardNth2gxy + + 2*dJ213L*gu11*PDstandardNth2gxz + 2*dJ223L*gu21*PDstandardNth2gxz - dJ233L*gu22*PDstandardNth2gyy + + 2*dJ213L*gu21*PDstandardNth2gyz + 2*dJ223L*gu22*PDstandardNth2gyz - dJ211L*gu11*PDstandardNth2gzz - + 2*dJ212L*gu21*PDstandardNth2gzz - dJ222L*gu22*PDstandardNth2gzz + 2*gu11*J31L*J33L*PDstandardNth33gxz + + 2*gu21*J32L*J33L*PDstandardNth33gxz + 2*gu21*J31L*J33L*PDstandardNth33gyz + 2*gu22*J32L*J33L*PDstandardNth33gyz - + 2*gu21*J31L*J32L*PDstandardNth33gzz - dJ333L*gu11*PDstandardNth3gxx - 2*dJ333L*gu21*PDstandardNth3gxy + + 2*dJ313L*gu11*PDstandardNth3gxz + 2*dJ323L*gu21*PDstandardNth3gxz - dJ333L*gu22*PDstandardNth3gyy + + 2*dJ313L*gu21*PDstandardNth3gyz + 2*dJ323L*gu22*PDstandardNth3gyz - dJ311L*gu11*PDstandardNth3gzz - + 2*dJ312L*gu21*PDstandardNth3gzz - dJ322L*gu22*PDstandardNth3gzz + 2*SQR(G113) + 2*SQR(G123) + 2*SQR(G213) + + 2*SQR(G223) + 2*SQR(G313) + 2*SQR(G323) - gu11*PDstandardNth11gzz*SQR(J11L) - gu22*PDstandardNth11gzz*SQR(J12L) - + gu11*PDstandardNth11gxx*SQR(J13L) - 2*gu21*PDstandardNth11gxy*SQR(J13L) - gu22*PDstandardNth11gyy*SQR(J13L) - + gu11*PDstandardNth22gzz*SQR(J21L) - gu22*PDstandardNth22gzz*SQR(J22L) - gu11*PDstandardNth22gxx*SQR(J23L) - + 2*gu21*PDstandardNth22gxy*SQR(J23L) - gu22*PDstandardNth22gyy*SQR(J23L) - gu11*PDstandardNth33gzz*SQR(J31L) - + gu22*PDstandardNth33gzz*SQR(J32L) - gu11*PDstandardNth33gxx*SQR(J33L) - 2*gu21*PDstandardNth33gxy*SQR(J33L) - + gu22*PDstandardNth33gyy*SQR(J33L)); + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL; + + CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL; + + CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL; + + CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL; + + CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL; + + CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL; + + CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL; + + CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL; + + CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL; + + CCTK_REAL const trK = Km11 + Km22 + Km33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alpL,-2)*(T00 - 2*(betayL*T02 + betazL*T03) + + 2*(betaxL*(-T01 + betayL*T12 + betazL*T13) + betayL*betazL*T23) + T11*SQR(betaxL) + T22*SQR(betayL) + + T33*SQR(betazL)); + + CCTK_REAL const S1 = (-T01 + betaxL*T11 + betayL*T12 + betazL*T13)*INV(alpL); + + CCTK_REAL const S2 = (-T02 + betaxL*T12 + betayL*T22 + betazL*T23)*INV(alpL); + + CCTK_REAL const S3 = (-T03 + betaxL*T13 + betayL*T23 + betazL*T33)*INV(alpL); + + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) - + SQR(Km22) - SQR(Km33) + SQR(trK); + + CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL + J12L*PDstandardNth1kxx - + J11L*PDstandardNth1kxy + J22L*PDstandardNth2kxx - J21L*PDstandardNth2kxy + J32L*PDstandardNth3kxx - + J31L*PDstandardNth3kxy) + gu31*(-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL + + J13L*PDstandardNth1kxx - J11L*PDstandardNth1kxz + J23L*PDstandardNth2kxx - J21L*PDstandardNth2kxz + + J33L*PDstandardNth3kxx - J31L*PDstandardNth3kxz) + + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL + J12L*PDstandardNth1kxy - + J11L*PDstandardNth1kyy + J22L*PDstandardNth2kxy - J21L*PDstandardNth2kyy + J32L*PDstandardNth3kxy - + J31L*PDstandardNth3kyy) + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL + + J13L*PDstandardNth1kxy + J12L*PDstandardNth1kxz + J23L*PDstandardNth2kxy + J22L*PDstandardNth2kxz + + J33L*PDstandardNth3kxy + J32L*PDstandardNth3kxz - + 2*(G123*kxxL + G223*kxyL + G323*kxzL + J11L*PDstandardNth1kyz + J21L*PDstandardNth2kyz + J31L*PDstandardNth3kyz)) + + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL + J13L*PDstandardNth1kxz - + J11L*PDstandardNth1kzz + J23L*PDstandardNth2kxz - J21L*PDstandardNth2kzz + J33L*PDstandardNth3kxz - + J31L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL - J12L*PDstandardNth1kxx + + J11L*PDstandardNth1kxy - J22L*PDstandardNth2kxx + J21L*PDstandardNth2kxy - J32L*PDstandardNth3kxx + + J31L*PDstandardNth3kxy) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL - + J12L*PDstandardNth1kxy + J11L*PDstandardNth1kyy - J22L*PDstandardNth2kxy + J21L*PDstandardNth2kyy - + J32L*PDstandardNth3kxy + J31L*PDstandardNth3kyy) + + gu31*(G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + J13L*PDstandardNth1kxy + + J11L*PDstandardNth1kyz + J23L*PDstandardNth2kxy + J21L*PDstandardNth2kyz + J33L*PDstandardNth3kxy - + 2*(G213*kyyL + G313*kyzL + J12L*PDstandardNth1kxz + J22L*PDstandardNth2kxz + J32L*PDstandardNth3kxz) + + J31L*PDstandardNth3kyz) + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL + + J13L*PDstandardNth1kyy - J12L*PDstandardNth1kyz + J23L*PDstandardNth2kyy - J22L*PDstandardNth2kyz + + J33L*PDstandardNth3kyy - J32L*PDstandardNth3kyz) + + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL + J13L*PDstandardNth1kyz - + J12L*PDstandardNth1kzz + J23L*PDstandardNth2kyz - J22L*PDstandardNth2kzz + J33L*PDstandardNth3kyz - + J32L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL - J13L*PDstandardNth1kxx + + J11L*PDstandardNth1kxz - J23L*PDstandardNth2kxx + J21L*PDstandardNth2kxz - J33L*PDstandardNth3kxx + + J31L*PDstandardNth3kxz) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL + + (-2*G212 + G313)*kyzL + J12L*PDstandardNth1kxz + J11L*PDstandardNth1kyz + J22L*PDstandardNth2kxz + + J21L*PDstandardNth2kyz - 2*(G312*kzzL + J13L*PDstandardNth1kxy + J23L*PDstandardNth2kxy + + J33L*PDstandardNth3kxy) + J32L*PDstandardNth3kxz + J31L*PDstandardNth3kyz) + + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL - J13L*PDstandardNth1kyy + + J12L*PDstandardNth1kyz - J23L*PDstandardNth2kyy + J22L*PDstandardNth2kyz - J33L*PDstandardNth3kyy + + J32L*PDstandardNth3kyz) + gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL - + J13L*PDstandardNth1kxz + J11L*PDstandardNth1kzz - J23L*PDstandardNth2kxz + J21L*PDstandardNth2kzz - + J33L*PDstandardNth3kxz + J31L*PDstandardNth3kzz) + + gu32*(G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL - J13L*PDstandardNth1kyz + + J12L*PDstandardNth1kzz - J23L*PDstandardNth2kyz + J22L*PDstandardNth2kzz - J33L*PDstandardNth3kyz + + J32L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S3; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_MP); +} + +void ML_ADMConstraints_MP(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMConstraints_MP_Body); +} diff --git a/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP_boundary.c b/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP_boundary.c new file mode 100644 index 0000000..0f4e380 --- /dev/null +++ b/ML_ADMConstraints_MP/src/ML_ADMConstraints_MP_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_MP_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_MP_boundary_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_MP_boundary_calc_every != ML_ADMConstraints_MP_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_MP_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_MP_boundary); +} + +void ML_ADMConstraints_MP_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMConstraints_MP_boundary_Body); +} diff --git a/ML_ADMConstraints_MP/src/RegisterMoL.c b/ML_ADMConstraints_MP/src/RegisterMoL.c new file mode 100644 index 0000000..101a9b1 --- /dev/null +++ b/ML_ADMConstraints_MP/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMConstraints_MP_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMConstraints_MP/src/RegisterSymmetries.c b/ML_ADMConstraints_MP/src/RegisterSymmetries.c new file mode 100644 index 0000000..23aef60 --- /dev/null +++ b/ML_ADMConstraints_MP/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMConstraints_MP_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP::M3"); + +} diff --git a/ML_ADMConstraints_MP/src/Startup.c b/ML_ADMConstraints_MP/src/Startup.c new file mode 100644 index 0000000..4e4af19 --- /dev/null +++ b/ML_ADMConstraints_MP/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMConstraints_MP_Startup(void) +{ + const char * banner = "ML_ADMConstraints_MP"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMConstraints_MP/src/make.code.defn b/ML_ADMConstraints_MP/src/make.code.defn new file mode 100644 index 0000000..d610c8f --- /dev/null +++ b/ML_ADMConstraints_MP/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMConstraints_MP.c ML_ADMConstraints_MP_boundary.c Boundaries.c diff --git a/ML_ADMConstraints_MP_M/configuration.ccl b/ML_ADMConstraints_MP_M/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMConstraints_MP_M/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMConstraints_MP_M/interface.ccl b/ML_ADMConstraints_MP_M/interface.ccl new file mode 100644 index 0000000..1a44a9d --- /dev/null +++ b/ML_ADMConstraints_MP_M/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMConstraints_MP_M + +inherits: ADMBase TmunuBase Coordinates Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Ham type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" diff --git a/ML_ADMConstraints_MP_M/param.ccl b/ML_ADMConstraints_MP_M/param.ccl new file mode 100644 index 0000000..0232de6 --- /dev/null +++ b/ML_ADMConstraints_MP_M/param.ccl @@ -0,0 +1,70 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_M_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_M_calc_every "ML_ADMConstraints_MP_M_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_M_boundary_calc_every "ML_ADMConstraints_MP_M_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_MP_M_calc_offset "ML_ADMConstraints_MP_M_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_MP_M_boundary_calc_offset "ML_ADMConstraints_MP_M_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMConstraints_MP_M/schedule.ccl b/ML_ADMConstraints_MP_M/schedule.ccl new file mode 100644 index 0000000..5b5c1ba --- /dev/null +++ b/ML_ADMConstraints_MP_M/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Ham[3] + +STORAGE: ML_mom[3] + +schedule ML_ADMConstraints_MP_M_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMConstraints_MP_M_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMConstraints_MP_M_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMConstraints_MP_M AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Ham + SYNC: ML_mom +} "ML_ADMConstraints_MP_M" + +schedule ML_ADMConstraints_MP_M_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMConstraints_MP_M +{ + LANG: C +} "ML_ADMConstraints_MP_M_boundary" + +schedule ML_ADMConstraints_MP_M_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMConstraints_MP_M_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMConstraints_MP_M_ApplyBCs in MoL_PostStep after ML_ADMConstraints_MP_M_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMConstraints_MP_M/src/Boundaries.c b/ML_ADMConstraints_MP_M/src/Boundaries.c new file mode 100644 index 0000000..b92937d --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMConstraints_MP_M_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMConstraints_MP_M_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMConstraints_MP_M/src/Differencing.h b/ML_ADMConstraints_MP_M/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M.c b/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M.c new file mode 100644 index 0000000..c73e56d --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M.c @@ -0,0 +1,905 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_MP_M_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_MP_M_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_MP_M_calc_every != ML_ADMConstraints_MP_M_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_MP_M, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gxx = INITVALUE; + // CCTK_REAL PDstandardNth2gxx = INITVALUE; + // CCTK_REAL PDstandardNth3gxx = INITVALUE; + // CCTK_REAL PDstandardNth11gxx = INITVALUE; + // CCTK_REAL PDstandardNth22gxx = INITVALUE; + // CCTK_REAL PDstandardNth33gxx = INITVALUE; + // CCTK_REAL PDstandardNth12gxx = INITVALUE; + // CCTK_REAL PDstandardNth13gxx = INITVALUE; + // CCTK_REAL PDstandardNth23gxx = INITVALUE; + // CCTK_REAL PDstandardNth1gxy = INITVALUE; + // CCTK_REAL PDstandardNth2gxy = INITVALUE; + // CCTK_REAL PDstandardNth3gxy = INITVALUE; + // CCTK_REAL PDstandardNth11gxy = INITVALUE; + // CCTK_REAL PDstandardNth22gxy = INITVALUE; + // CCTK_REAL PDstandardNth33gxy = INITVALUE; + // CCTK_REAL PDstandardNth12gxy = INITVALUE; + // CCTK_REAL PDstandardNth13gxy = INITVALUE; + // CCTK_REAL PDstandardNth23gxy = INITVALUE; + // CCTK_REAL PDstandardNth1gxz = INITVALUE; + // CCTK_REAL PDstandardNth2gxz = INITVALUE; + // CCTK_REAL PDstandardNth3gxz = INITVALUE; + // CCTK_REAL PDstandardNth11gxz = INITVALUE; + // CCTK_REAL PDstandardNth22gxz = INITVALUE; + // CCTK_REAL PDstandardNth33gxz = INITVALUE; + // CCTK_REAL PDstandardNth12gxz = INITVALUE; + // CCTK_REAL PDstandardNth13gxz = INITVALUE; + // CCTK_REAL PDstandardNth23gxz = INITVALUE; + // CCTK_REAL PDstandardNth1gyy = INITVALUE; + // CCTK_REAL PDstandardNth2gyy = INITVALUE; + // CCTK_REAL PDstandardNth3gyy = INITVALUE; + // CCTK_REAL PDstandardNth11gyy = INITVALUE; + // CCTK_REAL PDstandardNth22gyy = INITVALUE; + // CCTK_REAL PDstandardNth33gyy = INITVALUE; + // CCTK_REAL PDstandardNth12gyy = INITVALUE; + // CCTK_REAL PDstandardNth13gyy = INITVALUE; + // CCTK_REAL PDstandardNth23gyy = INITVALUE; + // CCTK_REAL PDstandardNth1gyz = INITVALUE; + // CCTK_REAL PDstandardNth2gyz = INITVALUE; + // CCTK_REAL PDstandardNth3gyz = INITVALUE; + // CCTK_REAL PDstandardNth11gyz = INITVALUE; + // CCTK_REAL PDstandardNth22gyz = INITVALUE; + // CCTK_REAL PDstandardNth33gyz = INITVALUE; + // CCTK_REAL PDstandardNth12gyz = INITVALUE; + // CCTK_REAL PDstandardNth13gyz = INITVALUE; + // CCTK_REAL PDstandardNth23gyz = INITVALUE; + // CCTK_REAL PDstandardNth1gzz = INITVALUE; + // CCTK_REAL PDstandardNth2gzz = INITVALUE; + // CCTK_REAL PDstandardNth3gzz = INITVALUE; + // CCTK_REAL PDstandardNth11gzz = INITVALUE; + // CCTK_REAL PDstandardNth22gzz = INITVALUE; + // CCTK_REAL PDstandardNth33gzz = INITVALUE; + // CCTK_REAL PDstandardNth12gzz = INITVALUE; + // CCTK_REAL PDstandardNth13gzz = INITVALUE; + // CCTK_REAL PDstandardNth23gzz = INITVALUE; + // CCTK_REAL PDstandardNth1kxx = INITVALUE; + // CCTK_REAL PDstandardNth2kxx = INITVALUE; + // CCTK_REAL PDstandardNth3kxx = INITVALUE; + // CCTK_REAL PDstandardNth1kxy = INITVALUE; + // CCTK_REAL PDstandardNth2kxy = INITVALUE; + // CCTK_REAL PDstandardNth3kxy = INITVALUE; + // CCTK_REAL PDstandardNth1kxz = INITVALUE; + // CCTK_REAL PDstandardNth2kxz = INITVALUE; + // CCTK_REAL PDstandardNth3kxz = INITVALUE; + // CCTK_REAL PDstandardNth1kyy = INITVALUE; + // CCTK_REAL PDstandardNth2kyy = INITVALUE; + // CCTK_REAL PDstandardNth3kyy = INITVALUE; + // CCTK_REAL PDstandardNth1kyz = INITVALUE; + // CCTK_REAL PDstandardNth2kyz = INITVALUE; + // CCTK_REAL PDstandardNth3kyz = INITVALUE; + // CCTK_REAL PDstandardNth1kzz = INITVALUE; + // CCTK_REAL PDstandardNth2kzz = INITVALUE; + // CCTK_REAL PDstandardNth3kzz = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k); + CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k); + CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k); + CCTK_REAL const PDstandardNth11gxx = PDstandardNth11(gxx, i, j, k); + CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(gxx, i, j, k); + CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(gxx, i, j, k); + CCTK_REAL const PDstandardNth12gxx = PDstandardNth12(gxx, i, j, k); + CCTK_REAL const PDstandardNth13gxx = PDstandardNth13(gxx, i, j, k); + CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(gxx, i, j, k); + CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(gxy, i, j, k); + CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(gxy, i, j, k); + CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(gxy, i, j, k); + CCTK_REAL const PDstandardNth11gxy = PDstandardNth11(gxy, i, j, k); + CCTK_REAL const PDstandardNth22gxy = PDstandardNth22(gxy, i, j, k); + CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(gxy, i, j, k); + CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(gxy, i, j, k); + CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(gxy, i, j, k); + CCTK_REAL const PDstandardNth23gxy = PDstandardNth23(gxy, i, j, k); + CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(gxz, i, j, k); + CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(gxz, i, j, k); + CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(gxz, i, j, k); + CCTK_REAL const PDstandardNth11gxz = PDstandardNth11(gxz, i, j, k); + CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(gxz, i, j, k); + CCTK_REAL const PDstandardNth33gxz = PDstandardNth33(gxz, i, j, k); + CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(gxz, i, j, k); + CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(gxz, i, j, k); + CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(gxz, i, j, k); + CCTK_REAL const PDstandardNth1gyy = PDstandardNth1(gyy, i, j, k); + CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(gyy, i, j, k); + CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(gyy, i, j, k); + CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(gyy, i, j, k); + CCTK_REAL const PDstandardNth22gyy = PDstandardNth22(gyy, i, j, k); + CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(gyy, i, j, k); + CCTK_REAL const PDstandardNth12gyy = PDstandardNth12(gyy, i, j, k); + CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(gyy, i, j, k); + CCTK_REAL const PDstandardNth23gyy = PDstandardNth23(gyy, i, j, k); + CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(gyz, i, j, k); + CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(gyz, i, j, k); + CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(gyz, i, j, k); + CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(gyz, i, j, k); + CCTK_REAL const PDstandardNth22gyz = PDstandardNth22(gyz, i, j, k); + CCTK_REAL const PDstandardNth33gyz = PDstandardNth33(gyz, i, j, k); + CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(gyz, i, j, k); + CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(gyz, i, j, k); + CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(gyz, i, j, k); + CCTK_REAL const PDstandardNth1gzz = PDstandardNth1(gzz, i, j, k); + CCTK_REAL const PDstandardNth2gzz = PDstandardNth2(gzz, i, j, k); + CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(gzz, i, j, k); + CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(gzz, i, j, k); + CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(gzz, i, j, k); + CCTK_REAL const PDstandardNth33gzz = PDstandardNth33(gzz, i, j, k); + CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(gzz, i, j, k); + CCTK_REAL const PDstandardNth13gzz = PDstandardNth13(gzz, i, j, k); + CCTK_REAL const PDstandardNth23gzz = PDstandardNth23(gzz, i, j, k); + CCTK_REAL const PDstandardNth1kxx = PDstandardNth1(kxx, i, j, k); + CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(kxx, i, j, k); + CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(kxx, i, j, k); + CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(kxy, i, j, k); + CCTK_REAL const PDstandardNth2kxy = PDstandardNth2(kxy, i, j, k); + CCTK_REAL const PDstandardNth3kxy = PDstandardNth3(kxy, i, j, k); + CCTK_REAL const PDstandardNth1kxz = PDstandardNth1(kxz, i, j, k); + CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(kxz, i, j, k); + CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(kxz, i, j, k); + CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(kyy, i, j, k); + CCTK_REAL const PDstandardNth2kyy = PDstandardNth2(kyy, i, j, k); + CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(kyy, i, j, k); + CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(kyz, i, j, k); + CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(kyz, i, j, k); + CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(kyz, i, j, k); + CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k); + CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k); + CCTK_REAL const PDstandardNth3kzz = PDstandardNth3(kzz, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL); + + CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL)); + + CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg); + + CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL)); + + CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL)); + + CCTK_REAL const G111 = khalf*((gu11*J11L - gu21*J12L - gu31*J13L)*PDstandardNth1gxx + + (gu11*J21L - gu21*J22L - gu31*J23L)*PDstandardNth2gxx + (gu11*J31L - gu21*J32L - gu31*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) + + J21L*(gu21*PDstandardNth2gxy + gu31*PDstandardNth2gxz) + J31L*(gu21*PDstandardNth3gxy + gu31*PDstandardNth3gxz) + )); + + CCTK_REAL const G211 = khalf*((gu21*J11L - gu22*J12L - gu32*J13L)*PDstandardNth1gxx + + (gu21*J21L - gu22*J22L - gu32*J23L)*PDstandardNth2gxx + (gu21*J31L - gu22*J32L - gu32*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) + + J21L*(gu22*PDstandardNth2gxy + gu32*PDstandardNth2gxz) + J31L*(gu22*PDstandardNth3gxy + gu32*PDstandardNth3gxz) + )); + + CCTK_REAL const G311 = khalf*((gu31*J11L - gu32*J12L - gu33*J13L)*PDstandardNth1gxx + + (gu31*J21L - gu32*J22L - gu33*J23L)*PDstandardNth2gxx + (gu31*J31L - gu32*J32L - gu33*J33L)*PDstandardNth3gxx + + 2*(J11L*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) + + J21L*(gu32*PDstandardNth2gxy + gu33*PDstandardNth2gxz) + J31L*(gu32*PDstandardNth3gxy + gu33*PDstandardNth3gxz) + )); + + CCTK_REAL const G112 = khalf*(gu11*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu21*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu31*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G212 = khalf*(gu21*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu22*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu32*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G312 = khalf*(gu31*(J12L*PDstandardNth1gxx + J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx) + + gu32*(J11L*PDstandardNth1gyy + J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy) + + gu33*(-(J13L*PDstandardNth1gxy) + J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz - J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz - J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz)); + + CCTK_REAL const G113 = khalf*(gu11*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu21*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu31*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G213 = khalf*(gu21*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu22*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu32*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G313 = khalf*(gu31*(J13L*PDstandardNth1gxx + J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx) + + gu32*(J13L*PDstandardNth1gxy - J12L*PDstandardNth1gxz + J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy - + J22L*PDstandardNth2gxz + J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy - J32L*PDstandardNth3gxz + + J31L*PDstandardNth3gyz) + gu33*(J11L*PDstandardNth1gzz + J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz)); + + CCTK_REAL const G122 = khalf*(gu11*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu21*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu31*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G222 = khalf*(gu21*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu22*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu32*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G322 = khalf*(gu31*(-(J11L*PDstandardNth1gyy) + 2*(J12L*PDstandardNth1gxy + J22L*PDstandardNth2gxy) - + J21L*PDstandardNth2gyy + 2*J32L*PDstandardNth3gxy - J31L*PDstandardNth3gyy) + + gu32*(J12L*PDstandardNth1gyy + J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy) - + gu33*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy - + 2*(J12L*PDstandardNth1gyz + J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz))); + + CCTK_REAL const G123 = khalf*(gu21*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu11*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu31*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G223 = khalf*(gu22*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu21*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu32*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G323 = khalf*(gu32*(J13L*PDstandardNth1gyy + J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy) + + gu31*(J13L*PDstandardNth1gxy + J12L*PDstandardNth1gxz - J11L*PDstandardNth1gyz + J23L*PDstandardNth2gxy + + J22L*PDstandardNth2gxz - J21L*PDstandardNth2gyz + J33L*PDstandardNth3gxy + J32L*PDstandardNth3gxz - + J31L*PDstandardNth3gyz) + gu33*(J12L*PDstandardNth1gzz + J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz)); + + CCTK_REAL const G133 = khalf*(gu11*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu21*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu31*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const G233 = khalf*(gu21*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu22*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu32*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const G333 = khalf*(gu31*(-(J11L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gxz + J23L*PDstandardNth2gxz) - + J21L*PDstandardNth2gzz + 2*J33L*PDstandardNth3gxz - J31L*PDstandardNth3gzz) + + gu32*(-(J12L*PDstandardNth1gzz) + 2*(J13L*PDstandardNth1gyz + J23L*PDstandardNth2gyz) - J22L*PDstandardNth2gzz + + 2*J33L*PDstandardNth3gyz - J32L*PDstandardNth3gzz) + + gu33*(J13L*PDstandardNth1gzz + J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz)); + + CCTK_REAL const R11 = khalf*(-((dJ122L*gu22 + 2*dJ123L*gu32 + dJ133L*gu33)*PDstandardNth1gxx) + + gu32*(-4*J11L*J21L*PDstandardNth12gyz - 2*J13L*J32L*PDstandardNth13gxx + 2*J13L*J31L*PDstandardNth13gxy + + 2*J12L*J31L*PDstandardNth13gxz - 4*J11L*J31L*PDstandardNth13gyz + 2*dJ113L*PDstandardNth1gxy) + + 2*(gu22*J11L*J12L*PDstandardNth11gxy + gu32*J11L*J13L*PDstandardNth11gxy + gu32*J11L*J12L*PDstandardNth11gxz + + gu33*J11L*J13L*PDstandardNth11gxz + gu22*J12L*J21L*PDstandardNth12gxy + gu32*J13L*J21L*PDstandardNth12gxy + + gu22*J11L*J22L*PDstandardNth12gxy + gu32*J11L*J23L*PDstandardNth12gxy + gu32*J12L*J21L*PDstandardNth12gxz + + gu33*J13L*J21L*PDstandardNth12gxz + gu32*J11L*J22L*PDstandardNth12gxz + gu33*J11L*J23L*PDstandardNth12gxz + + gu22*J12L*J31L*PDstandardNth13gxy + gu22*J11L*J32L*PDstandardNth13gxy + gu32*J11L*J33L*PDstandardNth13gxy + + gu33*J13L*J31L*PDstandardNth13gxz + gu32*J11L*J32L*PDstandardNth13gxz + gu33*J11L*J33L*PDstandardNth13gxz + + dJ112L*gu22*PDstandardNth1gxy) + 2*dJ112L*gu32*PDstandardNth1gxz + 2*dJ113L*gu33*PDstandardNth1gxz - + dJ111L*gu22*PDstandardNth1gyy - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 + + gu32*J12L*J13L*PDstandardNth11gxx + gu22*J12L*J22L*PDstandardNth12gxx + gu32*J13L*J22L*PDstandardNth12gxx + + gu32*J12L*J23L*PDstandardNth12gxx + gu33*J13L*J23L*PDstandardNth12gxx + gu22*J11L*J21L*PDstandardNth12gyy + + gu33*J11L*J21L*PDstandardNth12gzz + gu22*J12L*J32L*PDstandardNth13gxx + gu32*J12L*J33L*PDstandardNth13gxx + + gu33*J13L*J33L*PDstandardNth13gxx + gu22*J11L*J31L*PDstandardNth13gyy + gu33*J11L*J31L*PDstandardNth13gzz + + dJ111L*gu32*PDstandardNth1gyz) - dJ111L*gu33*PDstandardNth1gzz - 2*gu32*J22L*J23L*PDstandardNth22gxx + + 2*gu22*J21L*J22L*PDstandardNth22gxy + 2*gu32*J21L*J23L*PDstandardNth22gxy + 2*gu32*J21L*J22L*PDstandardNth22gxz + + 2*gu33*J21L*J23L*PDstandardNth22gxz - 2*gu22*J22L*J32L*PDstandardNth23gxx - 2*gu32*J23L*J32L*PDstandardNth23gxx - + 2*gu32*J22L*J33L*PDstandardNth23gxx - 2*gu33*J23L*J33L*PDstandardNth23gxx + 2*gu22*J22L*J31L*PDstandardNth23gxy + + 2*gu32*J23L*J31L*PDstandardNth23gxy + 2*gu22*J21L*J32L*PDstandardNth23gxy + 2*gu32*J21L*J33L*PDstandardNth23gxy + + 2*gu32*J22L*J31L*PDstandardNth23gxz + 2*gu33*J23L*J31L*PDstandardNth23gxz + 2*gu32*J21L*J32L*PDstandardNth23gxz + + 2*gu33*J21L*J33L*PDstandardNth23gxz - 2*gu22*J21L*J31L*PDstandardNth23gyy - 4*gu32*J21L*J31L*PDstandardNth23gyz - + 2*gu33*J21L*J31L*PDstandardNth23gzz - (dJ222L*gu22 + 2*dJ223L*gu32 + dJ233L*gu33)*PDstandardNth2gxx + + 2*dJ212L*gu22*PDstandardNth2gxy + 2*dJ213L*gu32*PDstandardNth2gxy + 2*dJ212L*gu32*PDstandardNth2gxz + + 2*dJ213L*gu33*PDstandardNth2gxz - dJ211L*gu22*PDstandardNth2gyy - 2*dJ211L*gu32*PDstandardNth2gyz - + dJ211L*gu33*PDstandardNth2gzz - 2*gu32*J32L*J33L*PDstandardNth33gxx + 2*gu22*J31L*J32L*PDstandardNth33gxy + + 2*gu32*J31L*J33L*PDstandardNth33gxy + 2*gu32*J31L*J32L*PDstandardNth33gxz + 2*gu33*J31L*J33L*PDstandardNth33gxz - + dJ322L*gu22*PDstandardNth3gxx - 2*dJ323L*gu32*PDstandardNth3gxx - dJ333L*gu33*PDstandardNth3gxx + + 2*dJ312L*gu22*PDstandardNth3gxy + 2*dJ313L*gu32*PDstandardNth3gxy + 2*dJ312L*gu32*PDstandardNth3gxz + + 2*dJ313L*gu33*PDstandardNth3gxz - dJ311L*gu22*PDstandardNth3gyy - 2*dJ311L*gu32*PDstandardNth3gyz - + dJ311L*gu33*PDstandardNth3gzz + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + + 2*SQR(G313) - gu22*PDstandardNth11gyy*SQR(J11L) - 2*gu32*PDstandardNth11gyz*SQR(J11L) - + gu33*PDstandardNth11gzz*SQR(J11L) - gu22*PDstandardNth11gxx*SQR(J12L) - gu33*PDstandardNth11gxx*SQR(J13L) - + gu22*PDstandardNth22gyy*SQR(J21L) - 2*gu32*PDstandardNth22gyz*SQR(J21L) - gu33*PDstandardNth22gzz*SQR(J21L) - + gu22*PDstandardNth22gxx*SQR(J22L) - gu33*PDstandardNth22gxx*SQR(J23L) - gu22*PDstandardNth33gyy*SQR(J31L) - + 2*gu32*PDstandardNth33gyz*SQR(J31L) - gu33*PDstandardNth33gzz*SQR(J31L) - gu22*PDstandardNth33gxx*SQR(J32L) - + gu33*PDstandardNth33gxx*SQR(J33L)); + + CCTK_REAL const R12 = G113*G123 - G112*G133 + G211*G212 + G212*G222 + G213*G223 - G212*(G211 + G222 + G233) + G311*G312 + G312*G322 + + G313*G323 - G312*(G311 + G322 + G333) + khalf* + (gu32*(-(J13L*J22L*PDstandardNth12gxy) + J12L*J23L*PDstandardNth12gxy + + (J13L*J22L - J12L*J23L)*PDstandardNth12gxy - J13L*J32L*PDstandardNth13gxy + J12L*J33L*PDstandardNth13gxy + + (J13L*J32L - J12L*J33L)*PDstandardNth13gxy) + + gu22*(-(J12L*J21L*PDstandardNth12gyy) + J11L*J22L*PDstandardNth12gyy + + (J12L*J21L - J11L*J22L)*PDstandardNth12gyy - J12L*J31L*PDstandardNth13gyy + J11L*J32L*PDstandardNth13gyy + + (J12L*J31L - J11L*J32L)*PDstandardNth13gyy) + + gu31*(J12L*J13L*PDstandardNth11gxx - J11L*J13L*PDstandardNth11gxy - J11L*J12L*PDstandardNth11gxz + + J13L*J22L*PDstandardNth12gxx + J12L*J23L*PDstandardNth12gxx - J13L*J21L*PDstandardNth12gxy - + J11L*J23L*PDstandardNth12gxy - J12L*J21L*PDstandardNth12gxz - J11L*J22L*PDstandardNth12gxz + + 2*J11L*J21L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxx + J12L*J33L*PDstandardNth13gxx - + J13L*J31L*PDstandardNth13gxy - J11L*J33L*PDstandardNth13gxy - J12L*J31L*PDstandardNth13gxz - + J11L*J32L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxx - + dJ113L*PDstandardNth1gxy - dJ112L*PDstandardNth1gxz + dJ111L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxx - J21L*J23L*PDstandardNth22gxy - J21L*J22L*PDstandardNth22gxz + + J23L*J32L*PDstandardNth23gxx + J22L*J33L*PDstandardNth23gxx - J23L*J31L*PDstandardNth23gxy - + J21L*J33L*PDstandardNth23gxy - J22L*J31L*PDstandardNth23gxz - J21L*J32L*PDstandardNth23gxz + + 2*J21L*J31L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxx - dJ213L*PDstandardNth2gxy - + dJ212L*PDstandardNth2gxz + dJ211L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxx - + J31L*J33L*PDstandardNth33gxy - J31L*J32L*PDstandardNth33gxz + dJ323L*PDstandardNth3gxx - + dJ313L*PDstandardNth3gxy - dJ312L*PDstandardNth3gxz + dJ311L*PDstandardNth3gyz + + PDstandardNth11gyz*SQR(J11L) + PDstandardNth22gyz*SQR(J21L) + PDstandardNth33gyz*SQR(J31L)) + + gu21*(-2*J11L*J12L*PDstandardNth11gxy + 2*J12L*J22L*PDstandardNth12gxx - 2*J12L*J21L*PDstandardNth12gxy - + 2*J11L*J22L*PDstandardNth12gxy + 2*J11L*J21L*PDstandardNth12gyy + 2*J12L*J32L*PDstandardNth13gxx - + 2*J12L*J31L*PDstandardNth13gxy - 2*J11L*J32L*PDstandardNth13gxy + 2*J11L*J31L*PDstandardNth13gyy + + dJ122L*PDstandardNth1gxx - 2*dJ112L*PDstandardNth1gxy + dJ111L*PDstandardNth1gyy - + 2*J21L*J22L*PDstandardNth22gxy + 2*J22L*J32L*PDstandardNth23gxx - 2*J22L*J31L*PDstandardNth23gxy - + 2*J21L*J32L*PDstandardNth23gxy + 2*J21L*J31L*PDstandardNth23gyy + dJ222L*PDstandardNth2gxx - + 2*dJ212L*PDstandardNth2gxy + dJ211L*PDstandardNth2gyy - 2*J31L*J32L*PDstandardNth33gxy + + dJ322L*PDstandardNth3gxx - 2*dJ312L*PDstandardNth3gxy + dJ311L*PDstandardNth3gyy + + PDstandardNth11gyy*SQR(J11L) + PDstandardNth11gxx*SQR(J12L) + PDstandardNth22gyy*SQR(J21L) + + PDstandardNth22gxx*SQR(J22L) + PDstandardNth33gyy*SQR(J31L) + PDstandardNth33gxx*SQR(J32L)) + + gu32*(-(J12L*J13L*PDstandardNth11gxy) + J11L*J13L*PDstandardNth11gyy - J11L*J12L*PDstandardNth11gyz - + J13L*J22L*PDstandardNth12gxy - J12L*J23L*PDstandardNth12gxy + 2*J12L*J22L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyy + J11L*J23L*PDstandardNth12gyy - J12L*J21L*PDstandardNth12gyz - + J11L*J22L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxy - J12L*J33L*PDstandardNth13gxy + + 2*J12L*J32L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyy + J11L*J33L*PDstandardNth13gyy - + J12L*J31L*PDstandardNth13gyz - J11L*J32L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxy + + dJ122L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyy - dJ112L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxy + J21L*J23L*PDstandardNth22gyy - J21L*J22L*PDstandardNth22gyz - + J23L*J32L*PDstandardNth23gxy - J22L*J33L*PDstandardNth23gxy + 2*J22L*J32L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyy + J21L*J33L*PDstandardNth23gyy - J22L*J31L*PDstandardNth23gyz - + J21L*J32L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxy + dJ222L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyy - dJ212L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxy + + J31L*J33L*PDstandardNth33gyy - J31L*J32L*PDstandardNth33gyz - dJ323L*PDstandardNth3gxy + + dJ322L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyy - dJ312L*PDstandardNth3gyz + + PDstandardNth11gxz*SQR(J12L) + PDstandardNth22gxz*SQR(J22L) + PDstandardNth33gxz*SQR(J32L)) + + gu33*(J12L*J13L*PDstandardNth11gxz + J11L*J13L*PDstandardNth11gyz - J11L*J12L*PDstandardNth11gzz - + 2*J13L*J23L*PDstandardNth12gxy + J13L*J22L*PDstandardNth12gxz + J12L*J23L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyz + J11L*J23L*PDstandardNth12gyz - J12L*J21L*PDstandardNth12gzz - + J11L*J22L*PDstandardNth12gzz - 2*J13L*J33L*PDstandardNth13gxy + J13L*J32L*PDstandardNth13gxz + + J12L*J33L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyz + J11L*J33L*PDstandardNth13gyz - + J12L*J31L*PDstandardNth13gzz - J11L*J32L*PDstandardNth13gzz - dJ133L*PDstandardNth1gxy + + dJ123L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyz - dJ112L*PDstandardNth1gzz + + J22L*J23L*PDstandardNth22gxz + J21L*J23L*PDstandardNth22gyz - J21L*J22L*PDstandardNth22gzz - + 2*J23L*J33L*PDstandardNth23gxy + J23L*J32L*PDstandardNth23gxz + J22L*J33L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyz + J21L*J33L*PDstandardNth23gyz - J22L*J31L*PDstandardNth23gzz - + J21L*J32L*PDstandardNth23gzz - dJ233L*PDstandardNth2gxy + dJ223L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyz - dJ212L*PDstandardNth2gzz + J32L*J33L*PDstandardNth33gxz + + J31L*J33L*PDstandardNth33gyz - J31L*J32L*PDstandardNth33gzz - dJ333L*PDstandardNth3gxy + + dJ323L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyz - dJ312L*PDstandardNth3gzz - + PDstandardNth11gxy*SQR(J13L) - PDstandardNth22gxy*SQR(J23L) - PDstandardNth33gxy*SQR(J33L))); + + CCTK_REAL const R13 = -(G113*G122) + G112*G123 + G211*G213 + G212*G223 + G213*G233 - G213*(G211 + G222 + G233) + G311*G313 + + G312*G323 + G313*G333 - G313*(G311 + G322 + G333) + + khalf*(gu32*(J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz + + (-(J13L*J22L) + J12L*J23L)*PDstandardNth12gxz + J13L*J32L*PDstandardNth13gxz - J12L*J33L*PDstandardNth13gxz + + (-(J13L*J32L) + J12L*J33L)*PDstandardNth13gxz) + + gu33*(-(J13L*J21L*PDstandardNth12gzz) + J11L*J23L*PDstandardNth12gzz + + (J13L*J21L - J11L*J23L)*PDstandardNth12gzz - J13L*J31L*PDstandardNth13gzz + J11L*J33L*PDstandardNth13gzz + + (J13L*J31L - J11L*J33L)*PDstandardNth13gzz) + + gu21*(J12L*J13L*PDstandardNth11gxx - J11L*J13L*PDstandardNth11gxy - J11L*J12L*PDstandardNth11gxz + + J13L*J22L*PDstandardNth12gxx + J12L*J23L*PDstandardNth12gxx - J13L*J21L*PDstandardNth12gxy - + J11L*J23L*PDstandardNth12gxy - J12L*J21L*PDstandardNth12gxz - J11L*J22L*PDstandardNth12gxz + + 2*J11L*J21L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxx + J12L*J33L*PDstandardNth13gxx - + J13L*J31L*PDstandardNth13gxy - J11L*J33L*PDstandardNth13gxy - J12L*J31L*PDstandardNth13gxz - + J11L*J32L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxx - + dJ113L*PDstandardNth1gxy - dJ112L*PDstandardNth1gxz + dJ111L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxx - J21L*J23L*PDstandardNth22gxy - J21L*J22L*PDstandardNth22gxz + + J23L*J32L*PDstandardNth23gxx + J22L*J33L*PDstandardNth23gxx - J23L*J31L*PDstandardNth23gxy - + J21L*J33L*PDstandardNth23gxy - J22L*J31L*PDstandardNth23gxz - J21L*J32L*PDstandardNth23gxz + + 2*J21L*J31L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxx - dJ213L*PDstandardNth2gxy - + dJ212L*PDstandardNth2gxz + dJ211L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxx - + J31L*J33L*PDstandardNth33gxy - J31L*J32L*PDstandardNth33gxz + dJ323L*PDstandardNth3gxx - + dJ313L*PDstandardNth3gxy - dJ312L*PDstandardNth3gxz + dJ311L*PDstandardNth3gyz + + PDstandardNth11gyz*SQR(J11L) + PDstandardNth22gyz*SQR(J21L) + PDstandardNth33gyz*SQR(J31L)) + + gu22*(J12L*J13L*PDstandardNth11gxy - J11L*J13L*PDstandardNth11gyy + J11L*J12L*PDstandardNth11gyz + + J13L*J22L*PDstandardNth12gxy + J12L*J23L*PDstandardNth12gxy - 2*J12L*J22L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyy - J11L*J23L*PDstandardNth12gyy + J12L*J21L*PDstandardNth12gyz + + J11L*J22L*PDstandardNth12gyz + J13L*J32L*PDstandardNth13gxy + J12L*J33L*PDstandardNth13gxy - + 2*J12L*J32L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyy - J11L*J33L*PDstandardNth13gyy + + J12L*J31L*PDstandardNth13gyz + J11L*J32L*PDstandardNth13gyz + dJ123L*PDstandardNth1gxy - + dJ122L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyy + dJ112L*PDstandardNth1gyz + + J22L*J23L*PDstandardNth22gxy - J21L*J23L*PDstandardNth22gyy + J21L*J22L*PDstandardNth22gyz + + J23L*J32L*PDstandardNth23gxy + J22L*J33L*PDstandardNth23gxy - 2*J22L*J32L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyy - J21L*J33L*PDstandardNth23gyy + J22L*J31L*PDstandardNth23gyz + + J21L*J32L*PDstandardNth23gyz + dJ223L*PDstandardNth2gxy - dJ222L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyy + dJ212L*PDstandardNth2gyz + J32L*J33L*PDstandardNth33gxy - + J31L*J33L*PDstandardNth33gyy + J31L*J32L*PDstandardNth33gyz + dJ323L*PDstandardNth3gxy - + dJ322L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyy + dJ312L*PDstandardNth3gyz - + PDstandardNth11gxz*SQR(J12L) - PDstandardNth22gxz*SQR(J22L) - PDstandardNth33gxz*SQR(J32L)) + + gu31*(-2*J11L*J13L*PDstandardNth11gxz + 2*J13L*J23L*PDstandardNth12gxx - 2*J13L*J21L*PDstandardNth12gxz - + 2*J11L*J23L*PDstandardNth12gxz + 2*J11L*J21L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxx - + 2*J13L*J31L*PDstandardNth13gxz - 2*J11L*J33L*PDstandardNth13gxz + 2*J11L*J31L*PDstandardNth13gzz + + dJ133L*PDstandardNth1gxx - 2*dJ113L*PDstandardNth1gxz + dJ111L*PDstandardNth1gzz - + 2*J21L*J23L*PDstandardNth22gxz + 2*J23L*J33L*PDstandardNth23gxx - 2*J23L*J31L*PDstandardNth23gxz - + 2*J21L*J33L*PDstandardNth23gxz + 2*J21L*J31L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxx - + 2*dJ213L*PDstandardNth2gxz + dJ211L*PDstandardNth2gzz - 2*J31L*J33L*PDstandardNth33gxz + + dJ333L*PDstandardNth3gxx - 2*dJ313L*PDstandardNth3gxz + dJ311L*PDstandardNth3gzz + + PDstandardNth11gzz*SQR(J11L) + PDstandardNth11gxx*SQR(J13L) + PDstandardNth22gzz*SQR(J21L) + + PDstandardNth22gxx*SQR(J23L) + PDstandardNth33gzz*SQR(J31L) + PDstandardNth33gxx*SQR(J33L)) + + gu32*(-(J12L*J13L*PDstandardNth11gxz) - J11L*J13L*PDstandardNth11gyz + J11L*J12L*PDstandardNth11gzz + + 2*J13L*J23L*PDstandardNth12gxy - J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyz - J11L*J23L*PDstandardNth12gyz + J12L*J21L*PDstandardNth12gzz + + J11L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxy - J13L*J32L*PDstandardNth13gxz - + J12L*J33L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyz - J11L*J33L*PDstandardNth13gyz + + J12L*J31L*PDstandardNth13gzz + J11L*J32L*PDstandardNth13gzz + dJ133L*PDstandardNth1gxy - + dJ123L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyz + dJ112L*PDstandardNth1gzz - + J22L*J23L*PDstandardNth22gxz - J21L*J23L*PDstandardNth22gyz + J21L*J22L*PDstandardNth22gzz + + 2*J23L*J33L*PDstandardNth23gxy - J23L*J32L*PDstandardNth23gxz - J22L*J33L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyz - J21L*J33L*PDstandardNth23gyz + J22L*J31L*PDstandardNth23gzz + + J21L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxy - dJ223L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyz + dJ212L*PDstandardNth2gzz - J32L*J33L*PDstandardNth33gxz - + J31L*J33L*PDstandardNth33gyz + J31L*J32L*PDstandardNth33gzz + dJ333L*PDstandardNth3gxy - + dJ323L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyz + dJ312L*PDstandardNth3gzz + + PDstandardNth11gxy*SQR(J13L) + PDstandardNth22gxy*SQR(J23L) + PDstandardNth33gxy*SQR(J33L))); + + CCTK_REAL const R22 = khalf*(-(dJ122L*gu11*PDstandardNth1gxx) + + gu31*(-4*J12L*J22L*PDstandardNth12gxz - 2*J13L*J21L*PDstandardNth12gyy + 2*J11L*J22L*PDstandardNth12gyz + + 2*J13L*J32L*PDstandardNth13gxy - 4*J12L*J32L*PDstandardNth13gxz - 2*J13L*J31L*PDstandardNth13gyy + + 2*J11L*J32L*PDstandardNth13gyz + 2*dJ123L*PDstandardNth1gxy) + + 2*(gu11*J11L*J12L*PDstandardNth11gxy + gu31*J12L*J13L*PDstandardNth11gxy + gu31*J11L*J12L*PDstandardNth11gyz + + gu33*J12L*J13L*PDstandardNth11gyz + gu11*J12L*J21L*PDstandardNth12gxy + gu11*J11L*J22L*PDstandardNth12gxy + + gu31*J13L*J22L*PDstandardNth12gxy + gu31*J12L*J23L*PDstandardNth12gxy + gu31*J12L*J21L*PDstandardNth12gyz + + gu33*J13L*J22L*PDstandardNth12gyz + gu33*J12L*J23L*PDstandardNth12gyz + gu11*J12L*J31L*PDstandardNth13gxy + + gu11*J11L*J32L*PDstandardNth13gxy + gu31*J12L*J33L*PDstandardNth13gxy + gu31*J12L*J31L*PDstandardNth13gyz + + gu33*J13L*J32L*PDstandardNth13gyz + gu33*J12L*J33L*PDstandardNth13gyz + dJ112L*gu11*PDstandardNth1gxy) - + 2*(G111*G122 + G122*G133 + G211*G222 + G222*G233 + G311*G322 + G322*G333 + gu31*J11L*J13L*PDstandardNth11gyy + + gu11*J12L*J22L*PDstandardNth12gxx + gu11*J11L*J21L*PDstandardNth12gyy + gu31*J11L*J23L*PDstandardNth12gyy + + gu33*J13L*J23L*PDstandardNth12gyy + gu33*J12L*J22L*PDstandardNth12gzz + gu11*J12L*J32L*PDstandardNth13gxx + + gu11*J11L*J31L*PDstandardNth13gyy + gu31*J11L*J33L*PDstandardNth13gyy + gu33*J13L*J33L*PDstandardNth13gyy + + gu33*J12L*J32L*PDstandardNth13gzz + dJ122L*gu31*PDstandardNth1gxz) - dJ111L*gu11*PDstandardNth1gyy - + 2*dJ113L*gu31*PDstandardNth1gyy - dJ133L*gu33*PDstandardNth1gyy + 2*dJ112L*gu31*PDstandardNth1gyz + + 2*dJ123L*gu33*PDstandardNth1gyz - dJ122L*gu33*PDstandardNth1gzz + 2*gu11*J21L*J22L*PDstandardNth22gxy + + 2*gu31*J22L*J23L*PDstandardNth22gxy - 2*gu31*J21L*J23L*PDstandardNth22gyy + 2*gu31*J21L*J22L*PDstandardNth22gyz + + 2*gu33*J22L*J23L*PDstandardNth22gyz - 2*gu11*J22L*J32L*PDstandardNth23gxx + 2*gu11*J22L*J31L*PDstandardNth23gxy + + 2*gu11*J21L*J32L*PDstandardNth23gxy + 2*gu31*J23L*J32L*PDstandardNth23gxy + 2*gu31*J22L*J33L*PDstandardNth23gxy - + 4*gu31*J22L*J32L*PDstandardNth23gxz - 2*gu11*J21L*J31L*PDstandardNth23gyy - 2*gu31*J23L*J31L*PDstandardNth23gyy - + 2*gu31*J21L*J33L*PDstandardNth23gyy - 2*gu33*J23L*J33L*PDstandardNth23gyy + 2*gu31*J22L*J31L*PDstandardNth23gyz + + 2*gu31*J21L*J32L*PDstandardNth23gyz + 2*gu33*J23L*J32L*PDstandardNth23gyz + 2*gu33*J22L*J33L*PDstandardNth23gyz - + 2*gu33*J22L*J32L*PDstandardNth23gzz - dJ222L*gu11*PDstandardNth2gxx + 2*dJ212L*gu11*PDstandardNth2gxy + + 2*dJ223L*gu31*PDstandardNth2gxy - 2*dJ222L*gu31*PDstandardNth2gxz - dJ211L*gu11*PDstandardNth2gyy - + 2*dJ213L*gu31*PDstandardNth2gyy - dJ233L*gu33*PDstandardNth2gyy + 2*dJ212L*gu31*PDstandardNth2gyz + + 2*dJ223L*gu33*PDstandardNth2gyz - dJ222L*gu33*PDstandardNth2gzz + 2*gu11*J31L*J32L*PDstandardNth33gxy + + 2*gu31*J32L*J33L*PDstandardNth33gxy - 2*gu31*J31L*J33L*PDstandardNth33gyy + 2*gu31*J31L*J32L*PDstandardNth33gyz + + 2*gu33*J32L*J33L*PDstandardNth33gyz - dJ322L*gu11*PDstandardNth3gxx + 2*dJ312L*gu11*PDstandardNth3gxy + + 2*dJ323L*gu31*PDstandardNth3gxy - 2*dJ322L*gu31*PDstandardNth3gxz - dJ311L*gu11*PDstandardNth3gyy - + 2*dJ313L*gu31*PDstandardNth3gyy - dJ333L*gu33*PDstandardNth3gyy + 2*dJ312L*gu31*PDstandardNth3gyz + + 2*dJ323L*gu33*PDstandardNth3gyz - dJ322L*gu33*PDstandardNth3gzz + 2*SQR(G112) + 2*SQR(G123) + 2*SQR(G212) + + 2*SQR(G223) + 2*SQR(G312) + 2*SQR(G323) - gu11*PDstandardNth11gyy*SQR(J11L) - gu11*PDstandardNth11gxx*SQR(J12L) - + 2*gu31*PDstandardNth11gxz*SQR(J12L) - gu33*PDstandardNth11gzz*SQR(J12L) - gu33*PDstandardNth11gyy*SQR(J13L) - + gu11*PDstandardNth22gyy*SQR(J21L) - gu11*PDstandardNth22gxx*SQR(J22L) - 2*gu31*PDstandardNth22gxz*SQR(J22L) - + gu33*PDstandardNth22gzz*SQR(J22L) - gu33*PDstandardNth22gyy*SQR(J23L) - gu11*PDstandardNth33gyy*SQR(J31L) - + gu11*PDstandardNth33gxx*SQR(J32L) - 2*gu31*PDstandardNth33gxz*SQR(J32L) - gu33*PDstandardNth33gzz*SQR(J32L) - + gu33*PDstandardNth33gyy*SQR(J33L)); + + CCTK_REAL const R23 = G112*G113 - G111*G123 + G212*G213 + G222*G223 + G223*G233 - G223*(G211 + G222 + G233) + G312*G313 + G322*G323 + + G323*G333 - G323*(G311 + G322 + G333) + khalf* + (gu31*(-(J13L*J22L*PDstandardNth12gxz) + J12L*J23L*PDstandardNth12gxz + + (J13L*J22L - J12L*J23L)*PDstandardNth12gxz - J13L*J32L*PDstandardNth13gxz + J12L*J33L*PDstandardNth13gxz + + (J13L*J32L - J12L*J33L)*PDstandardNth13gxz) + + gu33*(-(J13L*J22L*PDstandardNth12gzz) + J12L*J23L*PDstandardNth12gzz + + (J13L*J22L - J12L*J23L)*PDstandardNth12gzz - J13L*J32L*PDstandardNth13gzz + J12L*J33L*PDstandardNth13gzz + + (J13L*J32L - J12L*J33L)*PDstandardNth13gzz) + + gu11*(-(J12L*J13L*PDstandardNth11gxx) + J11L*J13L*PDstandardNth11gxy + J11L*J12L*PDstandardNth11gxz - + J13L*J22L*PDstandardNth12gxx - J12L*J23L*PDstandardNth12gxx + J13L*J21L*PDstandardNth12gxy + + J11L*J23L*PDstandardNth12gxy + J12L*J21L*PDstandardNth12gxz + J11L*J22L*PDstandardNth12gxz - + 2*J11L*J21L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxx - J12L*J33L*PDstandardNth13gxx + + J13L*J31L*PDstandardNth13gxy + J11L*J33L*PDstandardNth13gxy + J12L*J31L*PDstandardNth13gxz + + J11L*J32L*PDstandardNth13gxz - 2*J11L*J31L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxx + + dJ113L*PDstandardNth1gxy + dJ112L*PDstandardNth1gxz - dJ111L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxx + J21L*J23L*PDstandardNth22gxy + J21L*J22L*PDstandardNth22gxz - + J23L*J32L*PDstandardNth23gxx - J22L*J33L*PDstandardNth23gxx + J23L*J31L*PDstandardNth23gxy + + J21L*J33L*PDstandardNth23gxy + J22L*J31L*PDstandardNth23gxz + J21L*J32L*PDstandardNth23gxz - + 2*J21L*J31L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxx + dJ213L*PDstandardNth2gxy + + dJ212L*PDstandardNth2gxz - dJ211L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxx + + J31L*J33L*PDstandardNth33gxy + J31L*J32L*PDstandardNth33gxz - dJ323L*PDstandardNth3gxx + + dJ313L*PDstandardNth3gxy + dJ312L*PDstandardNth3gxz - dJ311L*PDstandardNth3gyz - + PDstandardNth11gyz*SQR(J11L) - PDstandardNth22gyz*SQR(J21L) - PDstandardNth33gyz*SQR(J31L)) + + gu21*(-(J12L*J13L*PDstandardNth11gxy) + J11L*J13L*PDstandardNth11gyy - J11L*J12L*PDstandardNth11gyz - + J13L*J22L*PDstandardNth12gxy - J12L*J23L*PDstandardNth12gxy + 2*J12L*J22L*PDstandardNth12gxz + + J13L*J21L*PDstandardNth12gyy + J11L*J23L*PDstandardNth12gyy - J12L*J21L*PDstandardNth12gyz - + J11L*J22L*PDstandardNth12gyz - J13L*J32L*PDstandardNth13gxy - J12L*J33L*PDstandardNth13gxy + + 2*J12L*J32L*PDstandardNth13gxz + J13L*J31L*PDstandardNth13gyy + J11L*J33L*PDstandardNth13gyy - + J12L*J31L*PDstandardNth13gyz - J11L*J32L*PDstandardNth13gyz - dJ123L*PDstandardNth1gxy + + dJ122L*PDstandardNth1gxz + dJ113L*PDstandardNth1gyy - dJ112L*PDstandardNth1gyz - + J22L*J23L*PDstandardNth22gxy + J21L*J23L*PDstandardNth22gyy - J21L*J22L*PDstandardNth22gyz - + J23L*J32L*PDstandardNth23gxy - J22L*J33L*PDstandardNth23gxy + 2*J22L*J32L*PDstandardNth23gxz + + J23L*J31L*PDstandardNth23gyy + J21L*J33L*PDstandardNth23gyy - J22L*J31L*PDstandardNth23gyz - + J21L*J32L*PDstandardNth23gyz - dJ223L*PDstandardNth2gxy + dJ222L*PDstandardNth2gxz + + dJ213L*PDstandardNth2gyy - dJ212L*PDstandardNth2gyz - J32L*J33L*PDstandardNth33gxy + + J31L*J33L*PDstandardNth33gyy - J31L*J32L*PDstandardNth33gyz - dJ323L*PDstandardNth3gxy + + dJ322L*PDstandardNth3gxz + dJ313L*PDstandardNth3gyy - dJ312L*PDstandardNth3gyz + + PDstandardNth11gxz*SQR(J12L) + PDstandardNth22gxz*SQR(J22L) + PDstandardNth33gxz*SQR(J32L)) + + gu31*(-(J12L*J13L*PDstandardNth11gxz) - J11L*J13L*PDstandardNth11gyz + J11L*J12L*PDstandardNth11gzz + + 2*J13L*J23L*PDstandardNth12gxy - J13L*J22L*PDstandardNth12gxz - J12L*J23L*PDstandardNth12gxz - + J13L*J21L*PDstandardNth12gyz - J11L*J23L*PDstandardNth12gyz + J12L*J21L*PDstandardNth12gzz + + J11L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gxy - J13L*J32L*PDstandardNth13gxz - + J12L*J33L*PDstandardNth13gxz - J13L*J31L*PDstandardNth13gyz - J11L*J33L*PDstandardNth13gyz + + J12L*J31L*PDstandardNth13gzz + J11L*J32L*PDstandardNth13gzz + dJ133L*PDstandardNth1gxy - + dJ123L*PDstandardNth1gxz - dJ113L*PDstandardNth1gyz + dJ112L*PDstandardNth1gzz - + J22L*J23L*PDstandardNth22gxz - J21L*J23L*PDstandardNth22gyz + J21L*J22L*PDstandardNth22gzz + + 2*J23L*J33L*PDstandardNth23gxy - J23L*J32L*PDstandardNth23gxz - J22L*J33L*PDstandardNth23gxz - + J23L*J31L*PDstandardNth23gyz - J21L*J33L*PDstandardNth23gyz + J22L*J31L*PDstandardNth23gzz + + J21L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gxy - dJ223L*PDstandardNth2gxz - + dJ213L*PDstandardNth2gyz + dJ212L*PDstandardNth2gzz - J32L*J33L*PDstandardNth33gxz - + J31L*J33L*PDstandardNth33gyz + J31L*J32L*PDstandardNth33gzz + dJ333L*PDstandardNth3gxy - + dJ323L*PDstandardNth3gxz - dJ313L*PDstandardNth3gyz + dJ312L*PDstandardNth3gzz + + PDstandardNth11gxy*SQR(J13L) + PDstandardNth22gxy*SQR(J23L) + PDstandardNth33gxy*SQR(J33L)) + + gu32*(-2*J12L*J13L*PDstandardNth11gyz + 2*J13L*J23L*PDstandardNth12gyy - 2*J13L*J22L*PDstandardNth12gyz - + 2*J12L*J23L*PDstandardNth12gyz + 2*J12L*J22L*PDstandardNth12gzz + 2*J13L*J33L*PDstandardNth13gyy - + 2*J13L*J32L*PDstandardNth13gyz - 2*J12L*J33L*PDstandardNth13gyz + 2*J12L*J32L*PDstandardNth13gzz + + dJ133L*PDstandardNth1gyy - 2*dJ123L*PDstandardNth1gyz + dJ122L*PDstandardNth1gzz - + 2*J22L*J23L*PDstandardNth22gyz + 2*J23L*J33L*PDstandardNth23gyy - 2*J23L*J32L*PDstandardNth23gyz - + 2*J22L*J33L*PDstandardNth23gyz + 2*J22L*J32L*PDstandardNth23gzz + dJ233L*PDstandardNth2gyy - + 2*dJ223L*PDstandardNth2gyz + dJ222L*PDstandardNth2gzz - 2*J32L*J33L*PDstandardNth33gyz + + dJ333L*PDstandardNth3gyy - 2*dJ323L*PDstandardNth3gyz + dJ322L*PDstandardNth3gzz + + PDstandardNth11gzz*SQR(J12L) + PDstandardNth11gyy*SQR(J13L) + PDstandardNth22gzz*SQR(J22L) + + PDstandardNth22gyy*SQR(J23L) + PDstandardNth33gzz*SQR(J32L) + PDstandardNth33gyy*SQR(J33L))); + + CCTK_REAL const R33 = khalf*(-(dJ133L*gu11*PDstandardNth1gxx) + + gu21*(-4*J13L*J23L*PDstandardNth12gxy + 2*J13L*J22L*PDstandardNth12gxz + 2*J13L*J21L*PDstandardNth12gyz - + 2*J12L*J21L*PDstandardNth12gzz - 4*J13L*J33L*PDstandardNth13gxy + 2*J13L*J32L*PDstandardNth13gxz + + 2*J13L*J31L*PDstandardNth13gyz - 2*J12L*J31L*PDstandardNth13gzz - 2*dJ133L*PDstandardNth1gxy) + + 2*dJ123L*gu21*PDstandardNth1gxz + 2*(gu11*J11L*J13L*PDstandardNth11gxz + gu21*J12L*J13L*PDstandardNth11gxz + + gu21*J11L*J13L*PDstandardNth11gyz + gu22*J12L*J13L*PDstandardNth11gyz + gu11*J13L*J21L*PDstandardNth12gxz + + gu11*J11L*J23L*PDstandardNth12gxz + gu21*J12L*J23L*PDstandardNth12gxz + gu22*J13L*J22L*PDstandardNth12gyz + + gu21*J11L*J23L*PDstandardNth12gyz + gu22*J12L*J23L*PDstandardNth12gyz + gu11*J13L*J31L*PDstandardNth13gxz + + gu11*J11L*J33L*PDstandardNth13gxz + gu21*J12L*J33L*PDstandardNth13gxz + gu22*J13L*J32L*PDstandardNth13gyz + + gu21*J11L*J33L*PDstandardNth13gyz + gu22*J12L*J33L*PDstandardNth13gyz + dJ113L*gu11*PDstandardNth1gxz) - + dJ133L*gu22*PDstandardNth1gyy + 2*dJ113L*gu21*PDstandardNth1gyz + 2*dJ123L*gu22*PDstandardNth1gyz - + dJ111L*gu11*PDstandardNth1gzz - dJ122L*gu22*PDstandardNth1gzz - + 2*(G111*G133 + G122*G133 + G211*G233 + G222*G233 + G311*G333 + G322*G333 + gu21*J11L*J12L*PDstandardNth11gzz + + gu11*J13L*J23L*PDstandardNth12gxx + gu22*J13L*J23L*PDstandardNth12gyy + gu11*J11L*J21L*PDstandardNth12gzz + + gu21*J11L*J22L*PDstandardNth12gzz + gu22*J12L*J22L*PDstandardNth12gzz + gu11*J13L*J33L*PDstandardNth13gxx + + gu22*J13L*J33L*PDstandardNth13gyy + gu11*J11L*J31L*PDstandardNth13gzz + gu21*J11L*J32L*PDstandardNth13gzz + + gu22*J12L*J32L*PDstandardNth13gzz + dJ112L*gu21*PDstandardNth1gzz) + 2*gu11*J21L*J23L*PDstandardNth22gxz + + 2*gu21*J22L*J23L*PDstandardNth22gxz + 2*gu21*J21L*J23L*PDstandardNth22gyz + 2*gu22*J22L*J23L*PDstandardNth22gyz - + 2*gu21*J21L*J22L*PDstandardNth22gzz - 2*gu11*J23L*J33L*PDstandardNth23gxx - 4*gu21*J23L*J33L*PDstandardNth23gxy + + 2*gu11*J23L*J31L*PDstandardNth23gxz + 2*gu21*J23L*J32L*PDstandardNth23gxz + 2*gu11*J21L*J33L*PDstandardNth23gxz + + 2*gu21*J22L*J33L*PDstandardNth23gxz - 2*gu22*J23L*J33L*PDstandardNth23gyy + 2*gu21*J23L*J31L*PDstandardNth23gyz + + 2*gu22*J23L*J32L*PDstandardNth23gyz + 2*gu21*J21L*J33L*PDstandardNth23gyz + 2*gu22*J22L*J33L*PDstandardNth23gyz - + 2*gu11*J21L*J31L*PDstandardNth23gzz - 2*gu21*J22L*J31L*PDstandardNth23gzz - 2*gu21*J21L*J32L*PDstandardNth23gzz - + 2*gu22*J22L*J32L*PDstandardNth23gzz - dJ233L*gu11*PDstandardNth2gxx - 2*dJ233L*gu21*PDstandardNth2gxy + + 2*dJ213L*gu11*PDstandardNth2gxz + 2*dJ223L*gu21*PDstandardNth2gxz - dJ233L*gu22*PDstandardNth2gyy + + 2*dJ213L*gu21*PDstandardNth2gyz + 2*dJ223L*gu22*PDstandardNth2gyz - dJ211L*gu11*PDstandardNth2gzz - + 2*dJ212L*gu21*PDstandardNth2gzz - dJ222L*gu22*PDstandardNth2gzz + 2*gu11*J31L*J33L*PDstandardNth33gxz + + 2*gu21*J32L*J33L*PDstandardNth33gxz + 2*gu21*J31L*J33L*PDstandardNth33gyz + 2*gu22*J32L*J33L*PDstandardNth33gyz - + 2*gu21*J31L*J32L*PDstandardNth33gzz - dJ333L*gu11*PDstandardNth3gxx - 2*dJ333L*gu21*PDstandardNth3gxy + + 2*dJ313L*gu11*PDstandardNth3gxz + 2*dJ323L*gu21*PDstandardNth3gxz - dJ333L*gu22*PDstandardNth3gyy + + 2*dJ313L*gu21*PDstandardNth3gyz + 2*dJ323L*gu22*PDstandardNth3gyz - dJ311L*gu11*PDstandardNth3gzz - + 2*dJ312L*gu21*PDstandardNth3gzz - dJ322L*gu22*PDstandardNth3gzz + 2*SQR(G113) + 2*SQR(G123) + 2*SQR(G213) + + 2*SQR(G223) + 2*SQR(G313) + 2*SQR(G323) - gu11*PDstandardNth11gzz*SQR(J11L) - gu22*PDstandardNth11gzz*SQR(J12L) - + gu11*PDstandardNth11gxx*SQR(J13L) - 2*gu21*PDstandardNth11gxy*SQR(J13L) - gu22*PDstandardNth11gyy*SQR(J13L) - + gu11*PDstandardNth22gzz*SQR(J21L) - gu22*PDstandardNth22gzz*SQR(J22L) - gu11*PDstandardNth22gxx*SQR(J23L) - + 2*gu21*PDstandardNth22gxy*SQR(J23L) - gu22*PDstandardNth22gyy*SQR(J23L) - gu11*PDstandardNth33gzz*SQR(J31L) - + gu22*PDstandardNth33gzz*SQR(J32L) - gu11*PDstandardNth33gxx*SQR(J33L) - 2*gu21*PDstandardNth33gxy*SQR(J33L) - + gu22*PDstandardNth33gyy*SQR(J33L)); + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL; + + CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL; + + CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL; + + CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL; + + CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL; + + CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL; + + CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL; + + CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL; + + CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL; + + CCTK_REAL const trK = Km11 + Km22 + Km33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alpL,-2)*(T00 - 2*(betayL*T02 + betazL*T03) + + 2*(betaxL*(-T01 + betayL*T12 + betazL*T13) + betayL*betazL*T23) + T11*SQR(betaxL) + T22*SQR(betayL) + + T33*SQR(betazL)); + + CCTK_REAL const S1 = (-T01 + betaxL*T11 + betayL*T12 + betazL*T13)*INV(alpL); + + CCTK_REAL const S2 = (-T02 + betaxL*T12 + betayL*T22 + betazL*T23)*INV(alpL); + + CCTK_REAL const S3 = (-T03 + betaxL*T13 + betayL*T23 + betazL*T33)*INV(alpL); + + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) - + SQR(Km22) - SQR(Km33) + SQR(trK); + + CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL + J12L*PDstandardNth1kxx - + J11L*PDstandardNth1kxy + J22L*PDstandardNth2kxx - J21L*PDstandardNth2kxy + J32L*PDstandardNth3kxx - + J31L*PDstandardNth3kxy) + gu31*(-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL + + J13L*PDstandardNth1kxx - J11L*PDstandardNth1kxz + J23L*PDstandardNth2kxx - J21L*PDstandardNth2kxz + + J33L*PDstandardNth3kxx - J31L*PDstandardNth3kxz) + + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL + J12L*PDstandardNth1kxy - + J11L*PDstandardNth1kyy + J22L*PDstandardNth2kxy - J21L*PDstandardNth2kyy + J32L*PDstandardNth3kxy - + J31L*PDstandardNth3kyy) + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL + + J13L*PDstandardNth1kxy + J12L*PDstandardNth1kxz + J23L*PDstandardNth2kxy + J22L*PDstandardNth2kxz + + J33L*PDstandardNth3kxy + J32L*PDstandardNth3kxz - + 2*(G123*kxxL + G223*kxyL + G323*kxzL + J11L*PDstandardNth1kyz + J21L*PDstandardNth2kyz + J31L*PDstandardNth3kyz)) + + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL + J13L*PDstandardNth1kxz - + J11L*PDstandardNth1kzz + J23L*PDstandardNth2kxz - J21L*PDstandardNth2kzz + J33L*PDstandardNth3kxz - + J31L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL - J12L*PDstandardNth1kxx + + J11L*PDstandardNth1kxy - J22L*PDstandardNth2kxx + J21L*PDstandardNth2kxy - J32L*PDstandardNth3kxx + + J31L*PDstandardNth3kxy) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL - + J12L*PDstandardNth1kxy + J11L*PDstandardNth1kyy - J22L*PDstandardNth2kxy + J21L*PDstandardNth2kyy - + J32L*PDstandardNth3kxy + J31L*PDstandardNth3kyy) + + gu31*(G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + J13L*PDstandardNth1kxy + + J11L*PDstandardNth1kyz + J23L*PDstandardNth2kxy + J21L*PDstandardNth2kyz + J33L*PDstandardNth3kxy - + 2*(G213*kyyL + G313*kyzL + J12L*PDstandardNth1kxz + J22L*PDstandardNth2kxz + J32L*PDstandardNth3kxz) + + J31L*PDstandardNth3kyz) + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL + + J13L*PDstandardNth1kyy - J12L*PDstandardNth1kyz + J23L*PDstandardNth2kyy - J22L*PDstandardNth2kyz + + J33L*PDstandardNth3kyy - J32L*PDstandardNth3kyz) + + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL + J13L*PDstandardNth1kyz - + J12L*PDstandardNth1kzz + J23L*PDstandardNth2kyz - J22L*PDstandardNth2kzz + J33L*PDstandardNth3kyz - + J32L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL - J13L*PDstandardNth1kxx + + J11L*PDstandardNth1kxz - J23L*PDstandardNth2kxx + J21L*PDstandardNth2kxz - J33L*PDstandardNth3kxx + + J31L*PDstandardNth3kxz) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL + + (-2*G212 + G313)*kyzL + J12L*PDstandardNth1kxz + J11L*PDstandardNth1kyz + J22L*PDstandardNth2kxz + + J21L*PDstandardNth2kyz - 2*(G312*kzzL + J13L*PDstandardNth1kxy + J23L*PDstandardNth2kxy + + J33L*PDstandardNth3kxy) + J32L*PDstandardNth3kxz + J31L*PDstandardNth3kyz) + + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL - J13L*PDstandardNth1kyy + + J12L*PDstandardNth1kyz - J23L*PDstandardNth2kyy + J22L*PDstandardNth2kyz - J33L*PDstandardNth3kyy + + J32L*PDstandardNth3kyz) + gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL - + J13L*PDstandardNth1kxz + J11L*PDstandardNth1kzz - J23L*PDstandardNth2kxz + J21L*PDstandardNth2kzz - + J33L*PDstandardNth3kxz + J31L*PDstandardNth3kzz) + + gu32*(G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL - J13L*PDstandardNth1kyz + + J12L*PDstandardNth1kzz - J23L*PDstandardNth2kyz + J22L*PDstandardNth2kzz - J33L*PDstandardNth3kyz + + J32L*PDstandardNth3kzz) - 25.13274122871834590770114706623602307358*S3; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_MP_M); +} + +void ML_ADMConstraints_MP_M(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMConstraints_MP_M_Body); +} diff --git a/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M_boundary.c b/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M_boundary.c new file mode 100644 index 0000000..617dc50 --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/ML_ADMConstraints_MP_M_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMConstraints_MP_M_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_MP_M_boundary_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_MP_M_boundary_calc_every != ML_ADMConstraints_MP_M_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_MP_M_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_MP_M_boundary); +} + +void ML_ADMConstraints_MP_M_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMConstraints_MP_M_boundary_Body); +} diff --git a/ML_ADMConstraints_MP_M/src/RegisterMoL.c b/ML_ADMConstraints_MP_M/src/RegisterMoL.c new file mode 100644 index 0000000..7593176 --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMConstraints_MP_M_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMConstraints_MP_M/src/RegisterSymmetries.c b/ML_ADMConstraints_MP_M/src/RegisterSymmetries.c new file mode 100644 index 0000000..ace149e --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMConstraints_MP_M_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP_M::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP_M::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP_M::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_MP_M::M3"); + +} diff --git a/ML_ADMConstraints_MP_M/src/Startup.c b/ML_ADMConstraints_MP_M/src/Startup.c new file mode 100644 index 0000000..b91e001 --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMConstraints_MP_M_Startup(void) +{ + const char * banner = "ML_ADMConstraints_MP_M"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMConstraints_MP_M/src/make.code.defn b/ML_ADMConstraints_MP_M/src/make.code.defn new file mode 100644 index 0000000..9311739 --- /dev/null +++ b/ML_ADMConstraints_MP_M/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMConstraints_MP_M.c ML_ADMConstraints_MP_M_boundary.c Boundaries.c diff --git a/ML_ADMQuantities/configuration.ccl b/ML_ADMQuantities/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMQuantities/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMQuantities/interface.ccl b/ML_ADMQuantities/interface.ccl new file mode 100644 index 0000000..6310390 --- /dev/null +++ b/ML_ADMQuantities/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMQuantities + +inherits: ADMBase ML_BSSN TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Jadm type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + Jadm1, + Jadm2, + Jadm3 +} "ML_Jadm" + +public: +CCTK_REAL ML_Madm type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + Madm +} "ML_Madm" diff --git a/ML_ADMQuantities/param.ccl b/ML_ADMQuantities/param.ccl new file mode 100644 index 0000000..8603cdd --- /dev/null +++ b/ML_ADMQuantities/param.ccl @@ -0,0 +1,76 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT conformalMethod "Treatment of conformal factor" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_calc_every "ML_ADMQuantities_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_boundary_calc_every "ML_ADMQuantities_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_calc_offset "ML_ADMQuantities_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMQuantities_boundary_calc_offset "ML_ADMQuantities_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMQuantities/schedule.ccl b/ML_ADMQuantities/schedule.ccl new file mode 100644 index 0000000..bf3e362 --- /dev/null +++ b/ML_ADMQuantities/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Jadm[3] + +STORAGE: ML_Madm[3] + +schedule ML_ADMQuantities_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMQuantities_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMQuantities_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMQuantities AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Jadm + SYNC: ML_Madm +} "ML_ADMQuantities" + +schedule ML_ADMQuantities_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMQuantities +{ + LANG: C +} "ML_ADMQuantities_boundary" + +schedule ML_ADMQuantities_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMQuantities_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMQuantities_ApplyBCs in MoL_PostStep after ML_ADMQuantities_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMQuantities/src/Boundaries.c b/ML_ADMQuantities/src/Boundaries.c new file mode 100644 index 0000000..6886528 --- /dev/null +++ b/ML_ADMQuantities/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMQuantities_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMQuantities_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMQuantities/src/Differencing.h b/ML_ADMQuantities/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMQuantities/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMQuantities/src/ML_ADMQuantities.c b/ML_ADMQuantities/src/ML_ADMQuantities.c new file mode 100644 index 0000000..51dd888 --- /dev/null +++ b/ML_ADMQuantities/src/ML_ADMQuantities.c @@ -0,0 +1,698 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMQuantities_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_calc_every != ML_ADMQuantities_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dgtu111 = INITVALUE, dgtu112 = INITVALUE, dgtu113 = INITVALUE, dgtu211 = INITVALUE, dgtu212 = INITVALUE, dgtu213 = INITVALUE; + // CCTK_REAL dgtu221 = INITVALUE, dgtu222 = INITVALUE, dgtu223 = INITVALUE, dgtu311 = INITVALUE, dgtu312 = INITVALUE, dgtu313 = INITVALUE; + // CCTK_REAL dgtu321 = INITVALUE, dgtu322 = INITVALUE, dgtu323 = INITVALUE, dgtu331 = INITVALUE, dgtu332 = INITVALUE, dgtu333 = INITVALUE; + // CCTK_REAL ephi = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; + // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; + // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; + // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; + // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; + // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; + // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; + // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trRt = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL xL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL yL = INITVALUE; + // CCTK_REAL zL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const xL = x[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + CCTK_REAL const yL = y[index]; + CCTK_REAL const zL = z[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const dgtu111 = -2*(gtu11*gtu21*PDstandardNth1gt12 + gtu11*gtu31*PDstandardNth1gt13 + gtu21*gtu31*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu11) - PDstandardNth1gt22*SQR(gtu21) - PDstandardNth1gt33*SQR(gtu31); + + CCTK_REAL const dgtu211 = -(gtu11*gtu21*PDstandardNth1gt11) - gtu11*gtu22*PDstandardNth1gt12 - gtu21*gtu31*PDstandardNth1gt13 - + gtu11*gtu32*PDstandardNth1gt13 - gtu21*gtu22*PDstandardNth1gt22 - gtu22*gtu31*PDstandardNth1gt23 - + gtu21*gtu32*PDstandardNth1gt23 - gtu31*gtu32*PDstandardNth1gt33 - PDstandardNth1gt12*SQR(gtu21); + + CCTK_REAL const dgtu311 = -(gtu11*gtu31*PDstandardNth1gt11) - gtu21*gtu31*PDstandardNth1gt12 - gtu11*gtu32*PDstandardNth1gt12 - + gtu11*gtu33*PDstandardNth1gt13 - gtu21*gtu32*PDstandardNth1gt22 - gtu31*gtu32*PDstandardNth1gt23 - + gtu21*gtu33*PDstandardNth1gt23 - gtu31*gtu33*PDstandardNth1gt33 - PDstandardNth1gt13*SQR(gtu31); + + CCTK_REAL const dgtu221 = -2*(gtu21*gtu22*PDstandardNth1gt12 + gtu21*gtu32*PDstandardNth1gt13 + gtu22*gtu32*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu21) - PDstandardNth1gt22*SQR(gtu22) - PDstandardNth1gt33*SQR(gtu32); + + CCTK_REAL const dgtu321 = -(gtu21*gtu31*PDstandardNth1gt11) - gtu22*gtu31*PDstandardNth1gt12 - gtu21*gtu32*PDstandardNth1gt12 - + gtu31*gtu32*PDstandardNth1gt13 - gtu21*gtu33*PDstandardNth1gt13 - gtu22*gtu32*PDstandardNth1gt22 - + gtu22*gtu33*PDstandardNth1gt23 - gtu32*gtu33*PDstandardNth1gt33 - PDstandardNth1gt23*SQR(gtu32); + + CCTK_REAL const dgtu331 = -2*(gtu31*gtu32*PDstandardNth1gt12 + gtu31*gtu33*PDstandardNth1gt13 + gtu32*gtu33*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu31) - PDstandardNth1gt22*SQR(gtu32) - PDstandardNth1gt33*SQR(gtu33); + + CCTK_REAL const dgtu112 = -2*(gtu11*gtu21*PDstandardNth2gt12 + gtu11*gtu31*PDstandardNth2gt13 + gtu21*gtu31*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu11) - PDstandardNth2gt22*SQR(gtu21) - PDstandardNth2gt33*SQR(gtu31); + + CCTK_REAL const dgtu212 = -(gtu11*gtu21*PDstandardNth2gt11) - gtu11*gtu22*PDstandardNth2gt12 - gtu21*gtu31*PDstandardNth2gt13 - + gtu11*gtu32*PDstandardNth2gt13 - gtu21*gtu22*PDstandardNth2gt22 - gtu22*gtu31*PDstandardNth2gt23 - + gtu21*gtu32*PDstandardNth2gt23 - gtu31*gtu32*PDstandardNth2gt33 - PDstandardNth2gt12*SQR(gtu21); + + CCTK_REAL const dgtu312 = -(gtu11*gtu31*PDstandardNth2gt11) - gtu21*gtu31*PDstandardNth2gt12 - gtu11*gtu32*PDstandardNth2gt12 - + gtu11*gtu33*PDstandardNth2gt13 - gtu21*gtu32*PDstandardNth2gt22 - gtu31*gtu32*PDstandardNth2gt23 - + gtu21*gtu33*PDstandardNth2gt23 - gtu31*gtu33*PDstandardNth2gt33 - PDstandardNth2gt13*SQR(gtu31); + + CCTK_REAL const dgtu222 = -2*(gtu21*gtu22*PDstandardNth2gt12 + gtu21*gtu32*PDstandardNth2gt13 + gtu22*gtu32*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu21) - PDstandardNth2gt22*SQR(gtu22) - PDstandardNth2gt33*SQR(gtu32); + + CCTK_REAL const dgtu322 = -(gtu21*gtu31*PDstandardNth2gt11) - gtu22*gtu31*PDstandardNth2gt12 - gtu21*gtu32*PDstandardNth2gt12 - + gtu31*gtu32*PDstandardNth2gt13 - gtu21*gtu33*PDstandardNth2gt13 - gtu22*gtu32*PDstandardNth2gt22 - + gtu22*gtu33*PDstandardNth2gt23 - gtu32*gtu33*PDstandardNth2gt33 - PDstandardNth2gt23*SQR(gtu32); + + CCTK_REAL const dgtu332 = -2*(gtu31*gtu32*PDstandardNth2gt12 + gtu31*gtu33*PDstandardNth2gt13 + gtu32*gtu33*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu31) - PDstandardNth2gt22*SQR(gtu32) - PDstandardNth2gt33*SQR(gtu33); + + CCTK_REAL const dgtu113 = -2*(gtu11*gtu21*PDstandardNth3gt12 + gtu11*gtu31*PDstandardNth3gt13 + gtu21*gtu31*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu11) - PDstandardNth3gt22*SQR(gtu21) - PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL const dgtu213 = -(gtu11*gtu21*PDstandardNth3gt11) - gtu11*gtu22*PDstandardNth3gt12 - gtu21*gtu31*PDstandardNth3gt13 - + gtu11*gtu32*PDstandardNth3gt13 - gtu21*gtu22*PDstandardNth3gt22 - gtu22*gtu31*PDstandardNth3gt23 - + gtu21*gtu32*PDstandardNth3gt23 - gtu31*gtu32*PDstandardNth3gt33 - PDstandardNth3gt12*SQR(gtu21); + + CCTK_REAL const dgtu313 = -(gtu11*gtu31*PDstandardNth3gt11) - gtu21*gtu31*PDstandardNth3gt12 - gtu11*gtu32*PDstandardNth3gt12 - + gtu11*gtu33*PDstandardNth3gt13 - gtu21*gtu32*PDstandardNth3gt22 - gtu31*gtu32*PDstandardNth3gt23 - + gtu21*gtu33*PDstandardNth3gt23 - gtu31*gtu33*PDstandardNth3gt33 - PDstandardNth3gt13*SQR(gtu31); + + CCTK_REAL const dgtu223 = -2*(gtu21*gtu22*PDstandardNth3gt12 + gtu21*gtu32*PDstandardNth3gt13 + gtu22*gtu32*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu21) - PDstandardNth3gt22*SQR(gtu22) - PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL const dgtu323 = -(gtu21*gtu31*PDstandardNth3gt11) - gtu22*gtu31*PDstandardNth3gt12 - gtu21*gtu32*PDstandardNth3gt12 - + gtu31*gtu32*PDstandardNth3gt13 - gtu21*gtu33*PDstandardNth3gt13 - gtu22*gtu32*PDstandardNth3gt22 - + gtu22*gtu33*PDstandardNth3gt23 - gtu32*gtu33*PDstandardNth3gt33 - PDstandardNth3gt23*SQR(gtu32); + + CCTK_REAL const dgtu333 = -2*(gtu31*gtu32*PDstandardNth3gt12 + gtu31*gtu33*PDstandardNth3gt13 + gtu32*gtu33*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu31) - PDstandardNth3gt22*SQR(gtu32) - PDstandardNth3gt33*SQR(gtu33); + + CCTK_REAL const Gtl111 = khalf*PDstandardNth1gt11; + + CCTK_REAL const Gtl112 = khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl113 = khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; + + CCTK_REAL const Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; + + CCTK_REAL const Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl212 = khalf*PDstandardNth1gt22; + + CCTK_REAL const Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl222 = khalf*PDstandardNth2gt22; + + CCTK_REAL const Gtl223 = khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; + + CCTK_REAL const Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12); + + CCTK_REAL const Gtl313 = khalf*PDstandardNth1gt33; + + CCTK_REAL const Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl323 = khalf*PDstandardNth2gt33; + + CCTK_REAL const Gtl333 = khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + + Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + gt11L*PDstandardNth1Xt1 + + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3 + + khalf*(-(gtu11*PDstandardNth11gt11) - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - + gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + + Gtl112*Xtn2 + Gtl113*Xtn3; + + CCTK_REAL const Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + + Gt222*Gtlu122 + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + Gt323*Gtlu133 + + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + + Gt311*Gtlu321 + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - 2*gtu21*PDstandardNth12gt12 - + 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - + gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + Gtl212*Xtn2 + + Gtl123*Xtn3 + Gtl213*Xtn3); + + CCTK_REAL const Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + + Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + Gt113*Gtlu133 + Gt333*Gtlu133 + + Gt211*Gtlu231 + Gt212*Gtlu232 + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) - + gtu11*PDstandardNth11gt13 - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - + gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); + + CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + + 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + + gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - 2*gtu21*PDstandardNth12gt22 - + 2*gtu31*PDstandardNth13gt22 - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - gtu33*PDstandardNth33gt22 + ) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; + + CCTK_REAL const Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + + Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + Gt313*Gtlu231 + Gt222*Gtlu232 + + Gt323*Gtlu232 + Gt223*Gtlu233 + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) - + gtu11*PDstandardNth11gt23 - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); + + CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + + Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - 2*gtu31*PDstandardNth13gt33 - + gtu22*PDstandardNth22gt33 - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + gt13L*PDstandardNth3Xt1 + + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; + + CCTK_REAL const trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; + + CCTK_REAL const ephi = IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); + + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const MadmL = 0.01989436788648691697111047042156429525431* + (-((Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - + (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + + Gt322*Gtlu132 + Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt211*Gtlu221 + + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - + (Gt112*Gtlu211 + Gt122*Gtlu212 + Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + Gt312*Gtlu231 + + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + + Gt223*Gtlu122 + Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - + (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + + Gt312*Gtlu332 + Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + Gt213*Gtlu221 + + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - + (Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + Gt312*Gtlu331 + + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + + Gt223*Gtlu322 + Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + trRt - ephi*trRt + + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - 0.6666666666666666666666666666666666666667*SQR(trKL))); + + CCTK_REAL const Jadm1L = 0.01989436788648691697111047042156429525431* + (2*Atm23 - 2*Atm32 + (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - 2*At23L*dgtu323 - + At33L*dgtu333 + kfourthird*PDstandardNth3trK + 50.26548245743669181540229413247204614715*S3)*yL + + (At11L*dgtu112 + At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + At33L*dgtu332 - + kfourthird*PDstandardNth2trK - 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm2L = 0.01989436788648691697111047042156429525431* + (-2*Atm13 + 2*Atm31 + (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + At23L*dgtu323) + + At33L*dgtu333 - kfourthird*PDstandardNth3trK - 50.26548245743669181540229413247204614715*S3)*xL + + (-(At11L*dgtu111) - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - At33L*dgtu331 + + kfourthird*PDstandardNth1trK + 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm3L = 0.01989436788648691697111047042156429525431* + (2*Atm12 - 2*Atm21 + (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - 2*At23L*dgtu322 - + At33L*dgtu332 + kfourthird*PDstandardNth2trK + 50.26548245743669181540229413247204614715*S2)*xL + + (At11L*dgtu111 + At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + At33L*dgtu331 - + kfourthird*PDstandardNth1trK - 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities); +} + +void ML_ADMQuantities(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_Body); +} diff --git a/ML_ADMQuantities/src/ML_ADMQuantities_boundary.c b/ML_ADMQuantities/src/ML_ADMQuantities_boundary.c new file mode 100644 index 0000000..df55620 --- /dev/null +++ b/ML_ADMQuantities/src/ML_ADMQuantities_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMQuantities_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_boundary_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_boundary_calc_every != ML_ADMQuantities_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const MadmL = 0; + + CCTK_REAL const Jadm1L = 0; + + CCTK_REAL const Jadm2L = 0; + + CCTK_REAL const Jadm3L = 0; + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities_boundary); +} + +void ML_ADMQuantities_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMQuantities_boundary_Body); +} diff --git a/ML_ADMQuantities/src/RegisterMoL.c b/ML_ADMQuantities/src/RegisterMoL.c new file mode 100644 index 0000000..50f9497 --- /dev/null +++ b/ML_ADMQuantities/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMQuantities_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMQuantities/src/RegisterSymmetries.c b/ML_ADMQuantities/src/RegisterSymmetries.c new file mode 100644 index 0000000..c721ca9 --- /dev/null +++ b/ML_ADMQuantities/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMQuantities_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities::Jadm1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities::Jadm2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities::Jadm3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities::Madm"); + +} diff --git a/ML_BSSN_M/src/Startup.c b/ML_ADMQuantities/src/Startup.c index 2f67a77..85877f6 100644 --- a/ML_BSSN_M/src/Startup.c +++ b/ML_ADMQuantities/src/Startup.c @@ -2,9 +2,9 @@ #include "cctk.h" -int ML_BSSN_M_Startup(void) +int ML_ADMQuantities_Startup(void) { - const char * banner = "ML_BSSN_M"; + const char * banner = "ML_ADMQuantities"; CCTK_RegisterBanner(banner); return 0; } diff --git a/ML_ADMQuantities/src/make.code.defn b/ML_ADMQuantities/src/make.code.defn new file mode 100644 index 0000000..214cde4 --- /dev/null +++ b/ML_ADMQuantities/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMQuantities.c ML_ADMQuantities_boundary.c Boundaries.c diff --git a/ML_ADMQuantities_MP/configuration.ccl b/ML_ADMQuantities_MP/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMQuantities_MP/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMQuantities_MP/interface.ccl b/ML_ADMQuantities_MP/interface.ccl new file mode 100644 index 0000000..8cae4a1 --- /dev/null +++ b/ML_ADMQuantities_MP/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMQuantities_MP + +inherits: ADMBase ML_BSSN_MP TmunuBase Coordinates Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Jadm type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + Jadm1, + Jadm2, + Jadm3 +} "ML_Jadm" + +public: +CCTK_REAL ML_Madm type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + Madm +} "ML_Madm" diff --git a/ML_ADMQuantities_MP/param.ccl b/ML_ADMQuantities_MP/param.ccl new file mode 100644 index 0000000..9bf7ad8 --- /dev/null +++ b/ML_ADMQuantities_MP/param.ccl @@ -0,0 +1,76 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT conformalMethod "Treatment of conformal factor" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT useMatter "Add matter terms" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_MP_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_MP_calc_every "ML_ADMQuantities_MP_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_MP_boundary_calc_every "ML_ADMQuantities_MP_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_MP_calc_offset "ML_ADMQuantities_MP_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMQuantities_MP_boundary_calc_offset "ML_ADMQuantities_MP_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMQuantities_MP/schedule.ccl b/ML_ADMQuantities_MP/schedule.ccl new file mode 100644 index 0000000..9ae52f6 --- /dev/null +++ b/ML_ADMQuantities_MP/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Jadm[3] + +STORAGE: ML_Madm[3] + +schedule ML_ADMQuantities_MP_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMQuantities_MP_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMQuantities_MP_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMQuantities_MP AT evol AFTER MoL_Evolution +{ + LANG: C + SYNC: ML_Jadm + SYNC: ML_Madm +} "ML_ADMQuantities_MP" + +schedule ML_ADMQuantities_MP_boundary AT evol AFTER MoL_Evolution AFTER ML_ADMQuantities_MP +{ + LANG: C +} "ML_ADMQuantities_MP_boundary" + +schedule ML_ADMQuantities_MP_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMQuantities_MP_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMQuantities_MP_ApplyBCs in MoL_PostStep after ML_ADMQuantities_MP_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMQuantities_MP/src/Boundaries.c b/ML_ADMQuantities_MP/src/Boundaries.c new file mode 100644 index 0000000..7abe454 --- /dev/null +++ b/ML_ADMQuantities_MP/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMQuantities_MP_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMQuantities_MP_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMQuantities_MP/src/Differencing.h b/ML_ADMQuantities_MP/src/Differencing.h new file mode 100644 index 0000000..1cdce99 --- /dev/null +++ b/ML_ADMQuantities_MP/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.c b/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.c new file mode 100644 index 0000000..d84a21f --- /dev/null +++ b/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.c @@ -0,0 +1,989 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMQuantities_MP_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_MP_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_MP_calc_every != ML_ADMQuantities_MP_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities_MP, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dgtu111 = INITVALUE, dgtu112 = INITVALUE, dgtu113 = INITVALUE, dgtu211 = INITVALUE, dgtu212 = INITVALUE, dgtu213 = INITVALUE; + // CCTK_REAL dgtu221 = INITVALUE, dgtu222 = INITVALUE, dgtu223 = INITVALUE, dgtu311 = INITVALUE, dgtu312 = INITVALUE, dgtu313 = INITVALUE; + // CCTK_REAL dgtu321 = INITVALUE, dgtu322 = INITVALUE, dgtu323 = INITVALUE, dgtu331 = INITVALUE, dgtu332 = INITVALUE, dgtu333 = INITVALUE; + // CCTK_REAL ephi = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; + // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; + // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; + // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; + // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; + // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; + // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; + // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trRt = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL xL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL yL = INITVALUE; + // CCTK_REAL zL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const xL = x[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + CCTK_REAL const yL = y[index]; + CCTK_REAL const zL = z[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const dgtu111 = -2*(gtu11*gtu21*J11L*PDstandardNth1gt12 + gtu11*gtu31*J11L*PDstandardNth1gt13 + + gtu21*gtu31*J11L*PDstandardNth1gt23 + gtu11*gtu21*J21L*PDstandardNth2gt12 + + gtu11*gtu31*J21L*PDstandardNth2gt13 + gtu21*gtu31*J21L*PDstandardNth2gt23 + + gtu11*gtu21*J31L*PDstandardNth3gt12 + gtu11*gtu31*J31L*PDstandardNth3gt13 + gtu21*gtu31*J31L*PDstandardNth3gt23)\ + - J11L*PDstandardNth1gt11*SQR(gtu11) - J21L*PDstandardNth2gt11*SQR(gtu11) - J31L*PDstandardNth3gt11*SQR(gtu11) - + J11L*PDstandardNth1gt22*SQR(gtu21) - J21L*PDstandardNth2gt22*SQR(gtu21) - J31L*PDstandardNth3gt22*SQR(gtu21) - + J11L*PDstandardNth1gt33*SQR(gtu31) - J21L*PDstandardNth2gt33*SQR(gtu31) - J31L*PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL const dgtu211 = -(gtu11*gtu21*J11L*PDstandardNth1gt11) - gtu11*gtu22*J11L*PDstandardNth1gt12 - + gtu21*gtu31*J11L*PDstandardNth1gt13 - gtu11*gtu32*J11L*PDstandardNth1gt13 - gtu21*gtu22*J11L*PDstandardNth1gt22 - + gtu22*gtu31*J11L*PDstandardNth1gt23 - gtu21*gtu32*J11L*PDstandardNth1gt23 - gtu31*gtu32*J11L*PDstandardNth1gt33 - + gtu11*gtu21*J21L*PDstandardNth2gt11 - gtu11*gtu22*J21L*PDstandardNth2gt12 - gtu21*gtu31*J21L*PDstandardNth2gt13 - + gtu11*gtu32*J21L*PDstandardNth2gt13 - gtu21*gtu22*J21L*PDstandardNth2gt22 - gtu22*gtu31*J21L*PDstandardNth2gt23 - + gtu21*gtu32*J21L*PDstandardNth2gt23 - gtu31*gtu32*J21L*PDstandardNth2gt33 - gtu11*gtu21*J31L*PDstandardNth3gt11 - + gtu11*gtu22*J31L*PDstandardNth3gt12 - gtu21*gtu31*J31L*PDstandardNth3gt13 - gtu11*gtu32*J31L*PDstandardNth3gt13 - + gtu21*gtu22*J31L*PDstandardNth3gt22 - gtu22*gtu31*J31L*PDstandardNth3gt23 - gtu21*gtu32*J31L*PDstandardNth3gt23 - + gtu31*gtu32*J31L*PDstandardNth3gt33 - J11L*PDstandardNth1gt12*SQR(gtu21) - J21L*PDstandardNth2gt12*SQR(gtu21) - + J31L*PDstandardNth3gt12*SQR(gtu21); + + CCTK_REAL const dgtu311 = -(gtu11*gtu31*J11L*PDstandardNth1gt11) - gtu21*gtu31*J11L*PDstandardNth1gt12 - + gtu11*gtu32*J11L*PDstandardNth1gt12 - gtu11*gtu33*J11L*PDstandardNth1gt13 - gtu21*gtu32*J11L*PDstandardNth1gt22 - + gtu31*gtu32*J11L*PDstandardNth1gt23 - gtu21*gtu33*J11L*PDstandardNth1gt23 - gtu31*gtu33*J11L*PDstandardNth1gt33 - + gtu11*gtu31*J21L*PDstandardNth2gt11 - gtu21*gtu31*J21L*PDstandardNth2gt12 - gtu11*gtu32*J21L*PDstandardNth2gt12 - + gtu11*gtu33*J21L*PDstandardNth2gt13 - gtu21*gtu32*J21L*PDstandardNth2gt22 - gtu31*gtu32*J21L*PDstandardNth2gt23 - + gtu21*gtu33*J21L*PDstandardNth2gt23 - gtu31*gtu33*J21L*PDstandardNth2gt33 - gtu11*gtu31*J31L*PDstandardNth3gt11 - + gtu21*gtu31*J31L*PDstandardNth3gt12 - gtu11*gtu32*J31L*PDstandardNth3gt12 - gtu11*gtu33*J31L*PDstandardNth3gt13 - + gtu21*gtu32*J31L*PDstandardNth3gt22 - gtu31*gtu32*J31L*PDstandardNth3gt23 - gtu21*gtu33*J31L*PDstandardNth3gt23 - + gtu31*gtu33*J31L*PDstandardNth3gt33 - J11L*PDstandardNth1gt13*SQR(gtu31) - J21L*PDstandardNth2gt13*SQR(gtu31) - + J31L*PDstandardNth3gt13*SQR(gtu31); + + CCTK_REAL const dgtu221 = -2*(gtu21*gtu22*J11L*PDstandardNth1gt12 + gtu21*gtu32*J11L*PDstandardNth1gt13 + + gtu22*gtu32*J11L*PDstandardNth1gt23 + gtu21*gtu22*J21L*PDstandardNth2gt12 + + gtu21*gtu32*J21L*PDstandardNth2gt13 + gtu22*gtu32*J21L*PDstandardNth2gt23 + + gtu21*gtu22*J31L*PDstandardNth3gt12 + gtu21*gtu32*J31L*PDstandardNth3gt13 + gtu22*gtu32*J31L*PDstandardNth3gt23)\ + - J11L*PDstandardNth1gt11*SQR(gtu21) - J21L*PDstandardNth2gt11*SQR(gtu21) - J31L*PDstandardNth3gt11*SQR(gtu21) - + J11L*PDstandardNth1gt22*SQR(gtu22) - J21L*PDstandardNth2gt22*SQR(gtu22) - J31L*PDstandardNth3gt22*SQR(gtu22) - + J11L*PDstandardNth1gt33*SQR(gtu32) - J21L*PDstandardNth2gt33*SQR(gtu32) - J31L*PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL const dgtu321 = -(gtu21*gtu31*J11L*PDstandardNth1gt11) - gtu22*gtu31*J11L*PDstandardNth1gt12 - + gtu21*gtu32*J11L*PDstandardNth1gt12 - gtu31*gtu32*J11L*PDstandardNth1gt13 - gtu21*gtu33*J11L*PDstandardNth1gt13 - + gtu22*gtu32*J11L*PDstandardNth1gt22 - gtu22*gtu33*J11L*PDstandardNth1gt23 - gtu32*gtu33*J11L*PDstandardNth1gt33 - + gtu21*gtu31*J21L*PDstandardNth2gt11 - gtu22*gtu31*J21L*PDstandardNth2gt12 - gtu21*gtu32*J21L*PDstandardNth2gt12 - + gtu31*gtu32*J21L*PDstandardNth2gt13 - gtu21*gtu33*J21L*PDstandardNth2gt13 - gtu22*gtu32*J21L*PDstandardNth2gt22 - + gtu22*gtu33*J21L*PDstandardNth2gt23 - gtu32*gtu33*J21L*PDstandardNth2gt33 - gtu21*gtu31*J31L*PDstandardNth3gt11 - + gtu22*gtu31*J31L*PDstandardNth3gt12 - gtu21*gtu32*J31L*PDstandardNth3gt12 - gtu31*gtu32*J31L*PDstandardNth3gt13 - + gtu21*gtu33*J31L*PDstandardNth3gt13 - gtu22*gtu32*J31L*PDstandardNth3gt22 - gtu22*gtu33*J31L*PDstandardNth3gt23 - + gtu32*gtu33*J31L*PDstandardNth3gt33 - J11L*PDstandardNth1gt23*SQR(gtu32) - J21L*PDstandardNth2gt23*SQR(gtu32) - + J31L*PDstandardNth3gt23*SQR(gtu32); + + CCTK_REAL const dgtu331 = -2*(gtu31*gtu32*J11L*PDstandardNth1gt12 + gtu31*gtu33*J11L*PDstandardNth1gt13 + + gtu32*gtu33*J11L*PDstandardNth1gt23 + gtu31*gtu32*J21L*PDstandardNth2gt12 + + gtu31*gtu33*J21L*PDstandardNth2gt13 + gtu32*gtu33*J21L*PDstandardNth2gt23 + + gtu31*gtu32*J31L*PDstandardNth3gt12 + gtu31*gtu33*J31L*PDstandardNth3gt13 + gtu32*gtu33*J31L*PDstandardNth3gt23)\ + - J11L*PDstandardNth1gt11*SQR(gtu31) - J21L*PDstandardNth2gt11*SQR(gtu31) - J31L*PDstandardNth3gt11*SQR(gtu31) - + J11L*PDstandardNth1gt22*SQR(gtu32) - J21L*PDstandardNth2gt22*SQR(gtu32) - J31L*PDstandardNth3gt22*SQR(gtu32) - + J11L*PDstandardNth1gt33*SQR(gtu33) - J21L*PDstandardNth2gt33*SQR(gtu33) - J31L*PDstandardNth3gt33*SQR(gtu33); + + CCTK_REAL const dgtu112 = -2*(gtu11*gtu21*J12L*PDstandardNth1gt12 + gtu11*gtu31*J12L*PDstandardNth1gt13 + + gtu21*gtu31*J12L*PDstandardNth1gt23 + gtu11*gtu21*J22L*PDstandardNth2gt12 + + gtu11*gtu31*J22L*PDstandardNth2gt13 + gtu21*gtu31*J22L*PDstandardNth2gt23 + + gtu11*gtu21*J32L*PDstandardNth3gt12 + gtu11*gtu31*J32L*PDstandardNth3gt13 + gtu21*gtu31*J32L*PDstandardNth3gt23)\ + - J12L*PDstandardNth1gt11*SQR(gtu11) - J22L*PDstandardNth2gt11*SQR(gtu11) - J32L*PDstandardNth3gt11*SQR(gtu11) - + J12L*PDstandardNth1gt22*SQR(gtu21) - J22L*PDstandardNth2gt22*SQR(gtu21) - J32L*PDstandardNth3gt22*SQR(gtu21) - + J12L*PDstandardNth1gt33*SQR(gtu31) - J22L*PDstandardNth2gt33*SQR(gtu31) - J32L*PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL const dgtu212 = -(gtu11*gtu21*J12L*PDstandardNth1gt11) - gtu11*gtu22*J12L*PDstandardNth1gt12 - + gtu21*gtu31*J12L*PDstandardNth1gt13 - gtu11*gtu32*J12L*PDstandardNth1gt13 - gtu21*gtu22*J12L*PDstandardNth1gt22 - + gtu22*gtu31*J12L*PDstandardNth1gt23 - gtu21*gtu32*J12L*PDstandardNth1gt23 - gtu31*gtu32*J12L*PDstandardNth1gt33 - + gtu11*gtu21*J22L*PDstandardNth2gt11 - gtu11*gtu22*J22L*PDstandardNth2gt12 - gtu21*gtu31*J22L*PDstandardNth2gt13 - + gtu11*gtu32*J22L*PDstandardNth2gt13 - gtu21*gtu22*J22L*PDstandardNth2gt22 - gtu22*gtu31*J22L*PDstandardNth2gt23 - + gtu21*gtu32*J22L*PDstandardNth2gt23 - gtu31*gtu32*J22L*PDstandardNth2gt33 - gtu11*gtu21*J32L*PDstandardNth3gt11 - + gtu11*gtu22*J32L*PDstandardNth3gt12 - gtu21*gtu31*J32L*PDstandardNth3gt13 - gtu11*gtu32*J32L*PDstandardNth3gt13 - + gtu21*gtu22*J32L*PDstandardNth3gt22 - gtu22*gtu31*J32L*PDstandardNth3gt23 - gtu21*gtu32*J32L*PDstandardNth3gt23 - + gtu31*gtu32*J32L*PDstandardNth3gt33 - J12L*PDstandardNth1gt12*SQR(gtu21) - J22L*PDstandardNth2gt12*SQR(gtu21) - + J32L*PDstandardNth3gt12*SQR(gtu21); + + CCTK_REAL const dgtu312 = -(gtu11*gtu31*J12L*PDstandardNth1gt11) - gtu21*gtu31*J12L*PDstandardNth1gt12 - + gtu11*gtu32*J12L*PDstandardNth1gt12 - gtu11*gtu33*J12L*PDstandardNth1gt13 - gtu21*gtu32*J12L*PDstandardNth1gt22 - + gtu31*gtu32*J12L*PDstandardNth1gt23 - gtu21*gtu33*J12L*PDstandardNth1gt23 - gtu31*gtu33*J12L*PDstandardNth1gt33 - + gtu11*gtu31*J22L*PDstandardNth2gt11 - gtu21*gtu31*J22L*PDstandardNth2gt12 - gtu11*gtu32*J22L*PDstandardNth2gt12 - + gtu11*gtu33*J22L*PDstandardNth2gt13 - gtu21*gtu32*J22L*PDstandardNth2gt22 - gtu31*gtu32*J22L*PDstandardNth2gt23 - + gtu21*gtu33*J22L*PDstandardNth2gt23 - gtu31*gtu33*J22L*PDstandardNth2gt33 - gtu11*gtu31*J32L*PDstandardNth3gt11 - + gtu21*gtu31*J32L*PDstandardNth3gt12 - gtu11*gtu32*J32L*PDstandardNth3gt12 - gtu11*gtu33*J32L*PDstandardNth3gt13 - + gtu21*gtu32*J32L*PDstandardNth3gt22 - gtu31*gtu32*J32L*PDstandardNth3gt23 - gtu21*gtu33*J32L*PDstandardNth3gt23 - + gtu31*gtu33*J32L*PDstandardNth3gt33 - J12L*PDstandardNth1gt13*SQR(gtu31) - J22L*PDstandardNth2gt13*SQR(gtu31) - + J32L*PDstandardNth3gt13*SQR(gtu31); + + CCTK_REAL const dgtu222 = -2*(gtu21*gtu22*J12L*PDstandardNth1gt12 + gtu21*gtu32*J12L*PDstandardNth1gt13 + + gtu22*gtu32*J12L*PDstandardNth1gt23 + gtu21*gtu22*J22L*PDstandardNth2gt12 + + gtu21*gtu32*J22L*PDstandardNth2gt13 + gtu22*gtu32*J22L*PDstandardNth2gt23 + + gtu21*gtu22*J32L*PDstandardNth3gt12 + gtu21*gtu32*J32L*PDstandardNth3gt13 + gtu22*gtu32*J32L*PDstandardNth3gt23)\ + - J12L*PDstandardNth1gt11*SQR(gtu21) - J22L*PDstandardNth2gt11*SQR(gtu21) - J32L*PDstandardNth3gt11*SQR(gtu21) - + J12L*PDstandardNth1gt22*SQR(gtu22) - J22L*PDstandardNth2gt22*SQR(gtu22) - J32L*PDstandardNth3gt22*SQR(gtu22) - + J12L*PDstandardNth1gt33*SQR(gtu32) - J22L*PDstandardNth2gt33*SQR(gtu32) - J32L*PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL const dgtu322 = -(gtu21*gtu31*J12L*PDstandardNth1gt11) - gtu22*gtu31*J12L*PDstandardNth1gt12 - + gtu21*gtu32*J12L*PDstandardNth1gt12 - gtu31*gtu32*J12L*PDstandardNth1gt13 - gtu21*gtu33*J12L*PDstandardNth1gt13 - + gtu22*gtu32*J12L*PDstandardNth1gt22 - gtu22*gtu33*J12L*PDstandardNth1gt23 - gtu32*gtu33*J12L*PDstandardNth1gt33 - + gtu21*gtu31*J22L*PDstandardNth2gt11 - gtu22*gtu31*J22L*PDstandardNth2gt12 - gtu21*gtu32*J22L*PDstandardNth2gt12 - + gtu31*gtu32*J22L*PDstandardNth2gt13 - gtu21*gtu33*J22L*PDstandardNth2gt13 - gtu22*gtu32*J22L*PDstandardNth2gt22 - + gtu22*gtu33*J22L*PDstandardNth2gt23 - gtu32*gtu33*J22L*PDstandardNth2gt33 - gtu21*gtu31*J32L*PDstandardNth3gt11 - + gtu22*gtu31*J32L*PDstandardNth3gt12 - gtu21*gtu32*J32L*PDstandardNth3gt12 - gtu31*gtu32*J32L*PDstandardNth3gt13 - + gtu21*gtu33*J32L*PDstandardNth3gt13 - gtu22*gtu32*J32L*PDstandardNth3gt22 - gtu22*gtu33*J32L*PDstandardNth3gt23 - + gtu32*gtu33*J32L*PDstandardNth3gt33 - J12L*PDstandardNth1gt23*SQR(gtu32) - J22L*PDstandardNth2gt23*SQR(gtu32) - + J32L*PDstandardNth3gt23*SQR(gtu32); + + CCTK_REAL const dgtu332 = -2*(gtu31*gtu32*J12L*PDstandardNth1gt12 + gtu31*gtu33*J12L*PDstandardNth1gt13 + + gtu32*gtu33*J12L*PDstandardNth1gt23 + gtu31*gtu32*J22L*PDstandardNth2gt12 + + gtu31*gtu33*J22L*PDstandardNth2gt13 + gtu32*gtu33*J22L*PDstandardNth2gt23 + + gtu31*gtu32*J32L*PDstandardNth3gt12 + gtu31*gtu33*J32L*PDstandardNth3gt13 + gtu32*gtu33*J32L*PDstandardNth3gt23)\ + - J12L*PDstandardNth1gt11*SQR(gtu31) - J22L*PDstandardNth2gt11*SQR(gtu31) - J32L*PDstandardNth3gt11*SQR(gtu31) - + J12L*PDstandardNth1gt22*SQR(gtu32) - J22L*PDstandardNth2gt22*SQR(gtu32) - J32L*PDstandardNth3gt22*SQR(gtu32) - + J12L*PDstandardNth1gt33*SQR(gtu33) - J22L*PDstandardNth2gt33*SQR(gtu33) - J32L*PDstandardNth3gt33*SQR(gtu33); + + CCTK_REAL const dgtu113 = -2*(gtu11*gtu21*J13L*PDstandardNth1gt12 + gtu11*gtu31*J13L*PDstandardNth1gt13 + + gtu21*gtu31*J13L*PDstandardNth1gt23 + gtu11*gtu21*J23L*PDstandardNth2gt12 + + gtu11*gtu31*J23L*PDstandardNth2gt13 + gtu21*gtu31*J23L*PDstandardNth2gt23 + + gtu11*gtu21*J33L*PDstandardNth3gt12 + gtu11*gtu31*J33L*PDstandardNth3gt13 + gtu21*gtu31*J33L*PDstandardNth3gt23)\ + - J13L*PDstandardNth1gt11*SQR(gtu11) - J23L*PDstandardNth2gt11*SQR(gtu11) - J33L*PDstandardNth3gt11*SQR(gtu11) - + J13L*PDstandardNth1gt22*SQR(gtu21) - J23L*PDstandardNth2gt22*SQR(gtu21) - J33L*PDstandardNth3gt22*SQR(gtu21) - + J13L*PDstandardNth1gt33*SQR(gtu31) - J23L*PDstandardNth2gt33*SQR(gtu31) - J33L*PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL const dgtu213 = -(gtu11*gtu21*J13L*PDstandardNth1gt11) - gtu11*gtu22*J13L*PDstandardNth1gt12 - + gtu21*gtu31*J13L*PDstandardNth1gt13 - gtu11*gtu32*J13L*PDstandardNth1gt13 - gtu21*gtu22*J13L*PDstandardNth1gt22 - + gtu22*gtu31*J13L*PDstandardNth1gt23 - gtu21*gtu32*J13L*PDstandardNth1gt23 - gtu31*gtu32*J13L*PDstandardNth1gt33 - + gtu11*gtu21*J23L*PDstandardNth2gt11 - gtu11*gtu22*J23L*PDstandardNth2gt12 - gtu21*gtu31*J23L*PDstandardNth2gt13 - + gtu11*gtu32*J23L*PDstandardNth2gt13 - gtu21*gtu22*J23L*PDstandardNth2gt22 - gtu22*gtu31*J23L*PDstandardNth2gt23 - + gtu21*gtu32*J23L*PDstandardNth2gt23 - gtu31*gtu32*J23L*PDstandardNth2gt33 - gtu11*gtu21*J33L*PDstandardNth3gt11 - + gtu11*gtu22*J33L*PDstandardNth3gt12 - gtu21*gtu31*J33L*PDstandardNth3gt13 - gtu11*gtu32*J33L*PDstandardNth3gt13 - + gtu21*gtu22*J33L*PDstandardNth3gt22 - gtu22*gtu31*J33L*PDstandardNth3gt23 - gtu21*gtu32*J33L*PDstandardNth3gt23 - + gtu31*gtu32*J33L*PDstandardNth3gt33 - J13L*PDstandardNth1gt12*SQR(gtu21) - J23L*PDstandardNth2gt12*SQR(gtu21) - + J33L*PDstandardNth3gt12*SQR(gtu21); + + CCTK_REAL const dgtu313 = -(gtu11*gtu31*J13L*PDstandardNth1gt11) - gtu21*gtu31*J13L*PDstandardNth1gt12 - + gtu11*gtu32*J13L*PDstandardNth1gt12 - gtu11*gtu33*J13L*PDstandardNth1gt13 - gtu21*gtu32*J13L*PDstandardNth1gt22 - + gtu31*gtu32*J13L*PDstandardNth1gt23 - gtu21*gtu33*J13L*PDstandardNth1gt23 - gtu31*gtu33*J13L*PDstandardNth1gt33 - + gtu11*gtu31*J23L*PDstandardNth2gt11 - gtu21*gtu31*J23L*PDstandardNth2gt12 - gtu11*gtu32*J23L*PDstandardNth2gt12 - + gtu11*gtu33*J23L*PDstandardNth2gt13 - gtu21*gtu32*J23L*PDstandardNth2gt22 - gtu31*gtu32*J23L*PDstandardNth2gt23 - + gtu21*gtu33*J23L*PDstandardNth2gt23 - gtu31*gtu33*J23L*PDstandardNth2gt33 - gtu11*gtu31*J33L*PDstandardNth3gt11 - + gtu21*gtu31*J33L*PDstandardNth3gt12 - gtu11*gtu32*J33L*PDstandardNth3gt12 - gtu11*gtu33*J33L*PDstandardNth3gt13 - + gtu21*gtu32*J33L*PDstandardNth3gt22 - gtu31*gtu32*J33L*PDstandardNth3gt23 - gtu21*gtu33*J33L*PDstandardNth3gt23 - + gtu31*gtu33*J33L*PDstandardNth3gt33 - J13L*PDstandardNth1gt13*SQR(gtu31) - J23L*PDstandardNth2gt13*SQR(gtu31) - + J33L*PDstandardNth3gt13*SQR(gtu31); + + CCTK_REAL const dgtu223 = -2*(gtu21*gtu22*J13L*PDstandardNth1gt12 + gtu21*gtu32*J13L*PDstandardNth1gt13 + + gtu22*gtu32*J13L*PDstandardNth1gt23 + gtu21*gtu22*J23L*PDstandardNth2gt12 + + gtu21*gtu32*J23L*PDstandardNth2gt13 + gtu22*gtu32*J23L*PDstandardNth2gt23 + + gtu21*gtu22*J33L*PDstandardNth3gt12 + gtu21*gtu32*J33L*PDstandardNth3gt13 + gtu22*gtu32*J33L*PDstandardNth3gt23)\ + - J13L*PDstandardNth1gt11*SQR(gtu21) - J23L*PDstandardNth2gt11*SQR(gtu21) - J33L*PDstandardNth3gt11*SQR(gtu21) - + J13L*PDstandardNth1gt22*SQR(gtu22) - J23L*PDstandardNth2gt22*SQR(gtu22) - J33L*PDstandardNth3gt22*SQR(gtu22) - + J13L*PDstandardNth1gt33*SQR(gtu32) - J23L*PDstandardNth2gt33*SQR(gtu32) - J33L*PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL const dgtu323 = -(gtu21*gtu31*J13L*PDstandardNth1gt11) - gtu22*gtu31*J13L*PDstandardNth1gt12 - + gtu21*gtu32*J13L*PDstandardNth1gt12 - gtu31*gtu32*J13L*PDstandardNth1gt13 - gtu21*gtu33*J13L*PDstandardNth1gt13 - + gtu22*gtu32*J13L*PDstandardNth1gt22 - gtu22*gtu33*J13L*PDstandardNth1gt23 - gtu32*gtu33*J13L*PDstandardNth1gt33 - + gtu21*gtu31*J23L*PDstandardNth2gt11 - gtu22*gtu31*J23L*PDstandardNth2gt12 - gtu21*gtu32*J23L*PDstandardNth2gt12 - + gtu31*gtu32*J23L*PDstandardNth2gt13 - gtu21*gtu33*J23L*PDstandardNth2gt13 - gtu22*gtu32*J23L*PDstandardNth2gt22 - + gtu22*gtu33*J23L*PDstandardNth2gt23 - gtu32*gtu33*J23L*PDstandardNth2gt33 - gtu21*gtu31*J33L*PDstandardNth3gt11 - + gtu22*gtu31*J33L*PDstandardNth3gt12 - gtu21*gtu32*J33L*PDstandardNth3gt12 - gtu31*gtu32*J33L*PDstandardNth3gt13 - + gtu21*gtu33*J33L*PDstandardNth3gt13 - gtu22*gtu32*J33L*PDstandardNth3gt22 - gtu22*gtu33*J33L*PDstandardNth3gt23 - + gtu32*gtu33*J33L*PDstandardNth3gt33 - J13L*PDstandardNth1gt23*SQR(gtu32) - J23L*PDstandardNth2gt23*SQR(gtu32) - + J33L*PDstandardNth3gt23*SQR(gtu32); + + CCTK_REAL const dgtu333 = -2*(gtu31*gtu32*J13L*PDstandardNth1gt12 + gtu31*gtu33*J13L*PDstandardNth1gt13 + + gtu32*gtu33*J13L*PDstandardNth1gt23 + gtu31*gtu32*J23L*PDstandardNth2gt12 + + gtu31*gtu33*J23L*PDstandardNth2gt13 + gtu32*gtu33*J23L*PDstandardNth2gt23 + + gtu31*gtu32*J33L*PDstandardNth3gt12 + gtu31*gtu33*J33L*PDstandardNth3gt13 + gtu32*gtu33*J33L*PDstandardNth3gt23)\ + - J13L*PDstandardNth1gt11*SQR(gtu31) - J23L*PDstandardNth2gt11*SQR(gtu31) - J33L*PDstandardNth3gt11*SQR(gtu31) - + J13L*PDstandardNth1gt22*SQR(gtu32) - J23L*PDstandardNth2gt22*SQR(gtu32) - J33L*PDstandardNth3gt22*SQR(gtu32) - + J13L*PDstandardNth1gt33*SQR(gtu33) - J23L*PDstandardNth2gt33*SQR(gtu33) - J33L*PDstandardNth3gt33*SQR(gtu33); + + CCTK_REAL const Gtl111 = khalf*(J11L*PDstandardNth1gt11 + J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); + + CCTK_REAL const Gtl112 = khalf*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); + + CCTK_REAL const Gtl113 = khalf*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); + + CCTK_REAL const Gtl122 = J12L*PDstandardNth1gt12 - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - + J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - J31L*khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl123 = khalf*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl133 = J13L*PDstandardNth1gt13 - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - + J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - J31L*khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtl211 = khalf*(-(J12L*PDstandardNth1gt11) + 2*J11L*PDstandardNth1gt12 - J22L*PDstandardNth2gt11 + + 2*J21L*PDstandardNth2gt12 - J32L*PDstandardNth3gt11 + 2*J31L*PDstandardNth3gt12); + + CCTK_REAL const Gtl212 = khalf*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); + + CCTK_REAL const Gtl213 = khalf*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl222 = khalf*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); + + CCTK_REAL const Gtl223 = khalf*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); + + CCTK_REAL const Gtl233 = J13L*PDstandardNth1gt23 - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - + J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - J32L*khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtl311 = khalf*(-(J13L*PDstandardNth1gt11) + 2*J11L*PDstandardNth1gt13 - J23L*PDstandardNth2gt11 + + 2*J21L*PDstandardNth2gt13 - J33L*PDstandardNth3gt11 + 2*J31L*PDstandardNth3gt13); + + CCTK_REAL const Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl313 = khalf*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); + + CCTK_REAL const Gtl322 = khalf*(-(J13L*PDstandardNth1gt22) + 2*J12L*PDstandardNth1gt23 - J23L*PDstandardNth2gt22 + + 2*J22L*PDstandardNth2gt23 - J33L*PDstandardNth3gt22 + 2*J32L*PDstandardNth3gt23); + + CCTK_REAL const Gtl323 = khalf*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); + + CCTK_REAL const Gtl333 = khalf*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); + + CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + + Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + + J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3) + + J21L*(gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + + J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + + Gtl113*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + J12L*J21L*PDstandardNth12gt11 + + J11L*J22L*PDstandardNth12gt11 + J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + + dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + J22L*J31L*PDstandardNth23gt11 + + J21L*J32L*PDstandardNth23gt11 + dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + + dJ312L*PDstandardNth3gt11) + gtu31*(J11L*J13L*PDstandardNth11gt11 + J13L*J21L*PDstandardNth12gt11 + + J11L*J23L*PDstandardNth12gt11 + J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + + dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + J23L*J31L*PDstandardNth23gt11 + + J21L*J33L*PDstandardNth23gt11 + dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + + dJ313L*PDstandardNth3gt11) + gtu32*(J12L*J13L*PDstandardNth11gt11 + J13L*J22L*PDstandardNth12gt11 + + J12L*J23L*PDstandardNth12gt11 + J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + + dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + J23L*J32L*PDstandardNth23gt11 + + J22L*J33L*PDstandardNth23gt11 + dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + + dJ323L*PDstandardNth3gt11)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt11 + 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + + 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + dJ311L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J11L) + PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt11 + 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + + 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + dJ322L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J12L) + PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt11 + 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + + 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + dJ333L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); + + CCTK_REAL const Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + + Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + Gtlu122 + Gtlu212) + Gt113*Gtlu213 + + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + + Gt312*(Gtlu131 + Gtlu232 + Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + + khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + + (gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 + + (gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + + J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + dJ112L*PDstandardNth1gt12 + + J21L*J22L*PDstandardNth22gt12 + J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + + dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + dJ312L*PDstandardNth3gt12) + + gtu31*(J11L*J13L*PDstandardNth11gt12 + J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + + J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + dJ113L*PDstandardNth1gt12 + + J21L*J23L*PDstandardNth22gt12 + J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + + dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + dJ313L*PDstandardNth3gt12) + + gtu32*(J12L*J13L*PDstandardNth11gt12 + J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + + J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + dJ123L*PDstandardNth1gt12 + + J22L*J23L*PDstandardNth22gt12 + J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + + dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + dJ323L*PDstandardNth3gt12)) + + (gt12L*J31L + gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + gt12L*J32L)*PDstandardNth3Xt2 + + (gt23L*J31L + gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + Gtl212)*Xtn2 + + (Gtl123 + Gtl213)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + 2*J11L*J31L*PDstandardNth13gt12 + + dJ111L*PDstandardNth1gt12 + 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + + dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + PDstandardNth22gt12*SQR(J21L) + + PDstandardNth33gt12*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt12 + 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + + 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + dJ322L*PDstandardNth3gt12 + + PDstandardNth11gt12*SQR(J12L) + PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt12 + 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + + 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + dJ333L*PDstandardNth3gt12 + + PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); + + CCTK_REAL const Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + + (Gt112 + Gt323)*Gtlu132 + Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + Gtlu133 + Gtlu313) + + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + + 2*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) + + khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + + (gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 + + (gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + + J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + dJ112L*PDstandardNth1gt13 + + J21L*J22L*PDstandardNth22gt13 + J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + + dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + dJ312L*PDstandardNth3gt13) + + gtu31*(J11L*J13L*PDstandardNth11gt13 + J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + + J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + dJ113L*PDstandardNth1gt13 + + J21L*J23L*PDstandardNth22gt13 + J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + + dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + dJ313L*PDstandardNth3gt13) + + gtu32*(J12L*J13L*PDstandardNth11gt13 + J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + + J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + dJ123L*PDstandardNth1gt13 + + J22L*J23L*PDstandardNth22gt13 + J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + + dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + dJ323L*PDstandardNth3gt13)) + + (gt13L*J31L + gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + gt12L*J33L)*PDstandardNth3Xt2 + + (gt33L*J31L + gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + Gtl312)*Xtn2 + + (Gtl133 + Gtl313)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + 2*J11L*J31L*PDstandardNth13gt13 + + dJ111L*PDstandardNth1gt13 + 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + + dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + PDstandardNth22gt13*SQR(J21L) + + PDstandardNth33gt13*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt13 + 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + + 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + dJ322L*PDstandardNth3gt13 + + PDstandardNth11gt13*SQR(J12L) + PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt13 + 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + + 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + dJ333L*PDstandardNth3gt13 + + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); + + CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + + 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + + J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3) + + J22L*(gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + + J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + + Gtl223*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + J12L*J21L*PDstandardNth12gt22 + + J11L*J22L*PDstandardNth12gt22 + J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + + dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + J22L*J31L*PDstandardNth23gt22 + + J21L*J32L*PDstandardNth23gt22 + dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + + dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + J13L*J21L*PDstandardNth12gt22 + + J11L*J23L*PDstandardNth12gt22 + J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + + dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + J23L*J31L*PDstandardNth23gt22 + + J21L*J33L*PDstandardNth23gt22 + dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + + dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + J13L*J22L*PDstandardNth12gt22 + + J12L*J23L*PDstandardNth12gt22 + J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + + dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + J23L*J32L*PDstandardNth23gt22 + + J22L*J33L*PDstandardNth23gt22 + dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + + dJ323L*PDstandardNth3gt22)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt22 + 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + + 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + dJ311L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J11L) + PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt22 + 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + + 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + dJ322L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J12L) + PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt22 + 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + + 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + dJ333L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); + + CCTK_REAL const Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + + (Gt222 + Gt323)*Gtlu232 + Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + + Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) + + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + + (gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 + + (gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + gt23L*J23L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + + J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + dJ112L*PDstandardNth1gt23 + + J21L*J22L*PDstandardNth22gt23 + J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + + dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + dJ312L*PDstandardNth3gt23) + + gtu31*(J11L*J13L*PDstandardNth11gt23 + J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + + J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + dJ113L*PDstandardNth1gt23 + + J21L*J23L*PDstandardNth22gt23 + J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + + dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + dJ313L*PDstandardNth3gt23) + + gtu32*(J12L*J13L*PDstandardNth11gt23 + J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + + J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + dJ123L*PDstandardNth1gt23 + + J22L*J23L*PDstandardNth22gt23 + J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + + dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + dJ323L*PDstandardNth3gt23)) + + (gt13L*J32L + gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + gt22L*J33L)*PDstandardNth3Xt2 + + (gt33L*J32L + gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + Gtl322)*Xtn2 + + (Gtl233 + Gtl323)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + 2*J11L*J31L*PDstandardNth13gt23 + + dJ111L*PDstandardNth1gt23 + 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + + dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + PDstandardNth22gt23*SQR(J21L) + + PDstandardNth33gt23*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt23 + 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + + 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + dJ322L*PDstandardNth3gt23 + + PDstandardNth11gt23*SQR(J12L) + PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt23 + 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + + 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + dJ333L*PDstandardNth3gt23 + + PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); + + CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + + Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3) + + J23L*(gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + + J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + + Gtl333*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + J12L*J21L*PDstandardNth12gt33 + + J11L*J22L*PDstandardNth12gt33 + J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + + dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + J22L*J31L*PDstandardNth23gt33 + + J21L*J32L*PDstandardNth23gt33 + dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + + dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + J13L*J21L*PDstandardNth12gt33 + + J11L*J23L*PDstandardNth12gt33 + J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + + dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + J23L*J31L*PDstandardNth23gt33 + + J21L*J33L*PDstandardNth23gt33 + dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + + dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + J13L*J22L*PDstandardNth12gt33 + + J12L*J23L*PDstandardNth12gt33 + J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + + dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + J23L*J32L*PDstandardNth23gt33 + + J22L*J33L*PDstandardNth23gt33 + dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + + dJ323L*PDstandardNth3gt33)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt33 + 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + + 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + dJ311L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J11L) + PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt33 + 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + + 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + dJ322L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J12L) + PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt33 + 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + + 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + dJ333L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); + + CCTK_REAL const trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; + + CCTK_REAL const ephi = IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); + + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const MadmL = 0.01989436788648691697111047042156429525431* + (-((Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - + (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + + Gt322*Gtlu132 + Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt211*Gtlu221 + + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - + (Gt112*Gtlu211 + Gt122*Gtlu212 + Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + Gt312*Gtlu231 + + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + + Gt223*Gtlu122 + Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - + (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + + Gt312*Gtlu332 + Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + Gt213*Gtlu221 + + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - + (Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + Gt312*Gtlu331 + + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + + Gt223*Gtlu322 + Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + trRt - ephi*trRt + + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - 0.6666666666666666666666666666666666666667*SQR(trKL))); + + CCTK_REAL const Jadm1L = 0.01989436788648691697111047042156429525431* + (2*Atm23 - 2*Atm32 + (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - 2*At23L*dgtu323 - + At33L*dgtu333 + kfourthird*(J13L*PDstandardNth1trK + J23L*PDstandardNth2trK + J33L*PDstandardNth3trK) + + 50.26548245743669181540229413247204614715*S3)*yL + + (At11L*dgtu112 + At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + At33L*dgtu332 - + kfourthird*(J12L*PDstandardNth1trK + J22L*PDstandardNth2trK + J32L*PDstandardNth3trK) - + 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm2L = 0.01989436788648691697111047042156429525431* + (-2*Atm13 + 2*Atm31 + (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + At23L*dgtu323) + + At33L*dgtu333 - kfourthird*(J13L*PDstandardNth1trK + J23L*PDstandardNth2trK + J33L*PDstandardNth3trK) - + 50.26548245743669181540229413247204614715*S3)*xL + + (-(At11L*dgtu111) - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - At33L*dgtu331 + + kfourthird*(J11L*PDstandardNth1trK + J21L*PDstandardNth2trK + J31L*PDstandardNth3trK) + + 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm3L = 0.01989436788648691697111047042156429525431* + (2*Atm12 - 2*Atm21 + (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - 2*At23L*dgtu322 - + At33L*dgtu332 + kfourthird*(J12L*PDstandardNth1trK + J22L*PDstandardNth2trK + J32L*PDstandardNth3trK) + + 50.26548245743669181540229413247204614715*S2)*xL + + (At11L*dgtu111 + At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + At33L*dgtu331 - + kfourthird*(J11L*PDstandardNth1trK + J21L*PDstandardNth2trK + J31L*PDstandardNth3trK) - + 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities_MP); +} + +void ML_ADMQuantities_MP(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_MP_Body); +} diff --git a/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP_boundary.c b/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP_boundary.c new file mode 100644 index 0000000..643a953 --- /dev/null +++ b/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP_boundary.c @@ -0,0 +1,147 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_ADMQuantities_MP_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_MP_boundary_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_MP_boundary_calc_every != ML_ADMQuantities_MP_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities_MP_boundary, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const MadmL = 0; + + CCTK_REAL const Jadm1L = 0; + + CCTK_REAL const Jadm2L = 0; + + CCTK_REAL const Jadm3L = 0; + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities_MP_boundary); +} + +void ML_ADMQuantities_MP_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMQuantities_MP_boundary_Body); +} diff --git a/ML_ADMQuantities_MP/src/RegisterMoL.c b/ML_ADMQuantities_MP/src/RegisterMoL.c new file mode 100644 index 0000000..62623f3 --- /dev/null +++ b/ML_ADMQuantities_MP/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMQuantities_MP_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMQuantities_MP/src/RegisterSymmetries.c b/ML_ADMQuantities_MP/src/RegisterSymmetries.c new file mode 100644 index 0000000..992ccc0 --- /dev/null +++ b/ML_ADMQuantities_MP/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMQuantities_MP_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_MP::Jadm1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_MP::Jadm2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_MP::Jadm3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_MP::Madm"); + +} diff --git a/ML_ADMQuantities_MP/src/Startup.c b/ML_ADMQuantities_MP/src/Startup.c new file mode 100644 index 0000000..7dfbc9c --- /dev/null +++ b/ML_ADMQuantities_MP/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMQuantities_MP_Startup(void) +{ + const char * banner = "ML_ADMQuantities_MP"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMQuantities_MP/src/make.code.defn b/ML_ADMQuantities_MP/src/make.code.defn new file mode 100644 index 0000000..87b03bf --- /dev/null +++ b/ML_ADMQuantities_MP/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMQuantities_MP.c ML_ADMQuantities_MP_boundary.c Boundaries.c diff --git a/ML_BSSN/interface.ccl b/ML_BSSN/interface.ccl index d31bcd8..a0d38b5 100644 --- a/ML_BSSN/interface.ccl +++ b/ML_BSSN/interface.ccl @@ -2,7 +2,7 @@ implements: ML_BSSN -inherits: ADMBase Grid GenericFD Boundary +inherits: ADMBase TmunuBase Grid GenericFD Boundary diff --git a/ML_BSSN/param.ccl b/ML_BSSN/param.ccl index 8e791df..2324c01 100644 --- a/ML_BSSN/param.ccl +++ b/ML_BSSN/param.ccl @@ -124,7 +124,7 @@ restricted: CCTK_INT useMatter "Add matter terms" { *:* :: "" -} 0 +} 1 private: KEYWORD my_initial_data "my_initial_data" @@ -186,7 +186,7 @@ restricted: CCTK_INT timelevels "Number of active timelevels" { 0:4 :: "" -} 4 +} 3 restricted: CCTK_INT rhs_timelevels "Number of active RHS timelevels" @@ -225,6 +225,18 @@ CCTK_INT ML_BSSN_RHS_calc_every "ML_BSSN_RHS_calc_every" } 1 restricted: +CCTK_INT ML_BSSN_RHS1_calc_every "ML_BSSN_RHS1_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_RHS2_calc_every "ML_BSSN_RHS2_calc_every" +{ + *:* :: "" +} 1 + +restricted: CCTK_INT ML_BSSN_RHSStaticBoundary_calc_every "ML_BSSN_RHSStaticBoundary_calc_every" { *:* :: "" @@ -243,6 +255,12 @@ CCTK_INT ML_BSSN_enforce_calc_every "ML_BSSN_enforce_calc_every" } 1 restricted: +CCTK_INT ML_BSSN_enforce2_calc_every "ML_BSSN_enforce2_calc_every" +{ + *:* :: "" +} 1 + +restricted: CCTK_INT ML_BSSN_boundary_calc_every "ML_BSSN_boundary_calc_every" { *:* :: "" @@ -315,6 +333,18 @@ CCTK_INT ML_BSSN_RHS_calc_offset "ML_BSSN_RHS_calc_offset" } 0 restricted: +CCTK_INT ML_BSSN_RHS1_calc_offset "ML_BSSN_RHS1_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_RHS2_calc_offset "ML_BSSN_RHS2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: CCTK_INT ML_BSSN_RHSStaticBoundary_calc_offset "ML_BSSN_RHSStaticBoundary_calc_offset" { *:* :: "" @@ -333,6 +363,12 @@ CCTK_INT ML_BSSN_enforce_calc_offset "ML_BSSN_enforce_calc_offset" } 0 restricted: +CCTK_INT ML_BSSN_enforce2_calc_offset "ML_BSSN_enforce2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: CCTK_INT ML_BSSN_boundary_calc_offset "ML_BSSN_boundary_calc_offset" { *:* :: "" diff --git a/ML_BSSN/schedule.ccl b/ML_BSSN/schedule.ccl index f8a7f3b..d8422cd 100644 --- a/ML_BSSN/schedule.ccl +++ b/ML_BSSN/schedule.ccl @@ -376,11 +376,21 @@ if (CCTK_EQUALS(UseSpatialBetaDriver, "yes")) } "ML_BSSN_setBetaDriver" } -schedule ML_BSSN_RHS IN ML_BSSN_evolCalcGroup +schedule ML_BSSN_RHS IN NoSuchGroup { LANG: C } "ML_BSSN_RHS" +schedule ML_BSSN_RHS1 IN ML_BSSN_evolCalcGroup +{ + LANG: C +} "ML_BSSN_RHS1" + +schedule ML_BSSN_RHS2 IN ML_BSSN_evolCalcGroup +{ + LANG: C +} "ML_BSSN_RHS2" + if (CCTK_EQUALS(my_rhs_boundary_condition, "static")) { @@ -399,11 +409,16 @@ if (CCTK_EQUALS(my_rhs_boundary_condition, "radiative")) } "ML_BSSN_RHSRadiativeBoundary" } -schedule ML_BSSN_enforce IN MoL_PostStep BEFORE ML_BSSN_BoundConds +schedule ML_BSSN_enforce IN MoL_PostStep BEFORE ML_BSSN_SelectBoundConds { LANG: C } "ML_BSSN_enforce" +schedule ML_BSSN_enforce2 IN MoL_PostStep AFTER ML_BSSN_enforce BEFORE ML_BSSN_SelectBoundConds +{ + LANG: C +} "ML_BSSN_enforce2" + if (CCTK_EQUALS(my_boundary_condition, "Minkowski")) { diff --git a/ML_BSSN/src/Differencing.h b/ML_BSSN/src/Differencing.h index 414cf95..1cdce99 100644 --- a/ML_BSSN/src/Differencing.h +++ b/ML_BSSN/src/Differencing.h @@ -1,18 +1,18 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 2*dir1),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 3*dir1),(int)(j),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i - dir1),(int)(j),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 2*dir2),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 3*dir2),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j - dir2),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] - 6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 2*dir3))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 3*dir3))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k - dir3))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_BSSN/src/ML_BSSN_Minkowski.c b/ML_BSSN/src/ML_BSSN_Minkowski.c index 759310a..c467955 100644 --- a/ML_BSSN/src/ML_BSSN_Minkowski.c +++ b/ML_BSSN/src/ML_BSSN_Minkowski.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_I /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,24 +93,24 @@ void ML_BSSN_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_I i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -128,57 +126,57 @@ void ML_BSSN_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_I /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); - gt11L = 1; + CCTK_REAL const gt11L = 1; - gt12L = 0; + CCTK_REAL const gt12L = 0; - gt13L = 0; + CCTK_REAL const gt13L = 0; - gt22L = 1; + CCTK_REAL const gt22L = 1; - gt23L = 0; + CCTK_REAL const gt23L = 0; - gt33L = 1; + CCTK_REAL const gt33L = 1; - trKL = 0; + CCTK_REAL const trKL = 0; - At11L = 0; + CCTK_REAL const At11L = 0; - At12L = 0; + CCTK_REAL const At12L = 0; - At13L = 0; + CCTK_REAL const At13L = 0; - At22L = 0; + CCTK_REAL const At22L = 0; - At23L = 0; + CCTK_REAL const At23L = 0; - At33L = 0; + CCTK_REAL const At33L = 0; - Xt1L = 0; + CCTK_REAL const Xt1L = 0; - Xt2L = 0; + CCTK_REAL const Xt2L = 0; - Xt3L = 0; + CCTK_REAL const Xt3L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - AL = 0; + CCTK_REAL const AL = 0; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; - B1L = 0; + CCTK_REAL const B1L = 0; - B2L = 0; + CCTK_REAL const B2L = 0; - B3L = 0; + CCTK_REAL const B3L = 0; - etaL = BetaDriver; + CCTK_REAL const etaL = BetaDriver; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_RHS.c b/ML_BSSN/src/ML_BSSN_RHS.c index 905b469..f207bcc 100644 --- a/ML_BSSN/src/ML_BSSN_RHS.c +++ b/ML_BSSN/src/ML_BSSN_RHS.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,408 +93,429 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; - CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL g11 = INITVALUE; - CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; - CCTK_REAL g12 = INITVALUE; - CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; - CCTK_REAL g13 = INITVALUE; - CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; - CCTK_REAL g22 = INITVALUE; - CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; - CCTK_REAL g23 = INITVALUE; - CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; - CCTK_REAL g33 = INITVALUE; - CCTK_REAL G333 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL trAts = INITVALUE; - CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; + // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL g11 = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; + // CCTK_REAL g12 = INITVALUE; + // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; + // CCTK_REAL g13 = INITVALUE; + // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; + // CCTK_REAL g22 = INITVALUE; + // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; + // CCTK_REAL g23 = INITVALUE; + // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; + // CCTK_REAL g33 = INITVALUE; + // CCTK_REAL G333 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trAts = INITVALUE; + // CCTK_REAL trS = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1alpha = INITVALUE; - CCTK_REAL PDstandardNth2alpha = INITVALUE; - CCTK_REAL PDstandardNth3alpha = INITVALUE; - CCTK_REAL PDstandardNth11alpha = INITVALUE; - CCTK_REAL PDstandardNth22alpha = INITVALUE; - CCTK_REAL PDstandardNth33alpha = INITVALUE; - CCTK_REAL PDstandardNth12alpha = INITVALUE; - CCTK_REAL PDstandardNth13alpha = INITVALUE; - CCTK_REAL PDstandardNth23alpha = INITVALUE; - CCTK_REAL PDstandardNth1beta1 = INITVALUE; - CCTK_REAL PDstandardNth2beta1 = INITVALUE; - CCTK_REAL PDstandardNth3beta1 = INITVALUE; - CCTK_REAL PDstandardNth11beta1 = INITVALUE; - CCTK_REAL PDstandardNth22beta1 = INITVALUE; - CCTK_REAL PDstandardNth33beta1 = INITVALUE; - CCTK_REAL PDstandardNth12beta1 = INITVALUE; - CCTK_REAL PDstandardNth13beta1 = INITVALUE; - CCTK_REAL PDstandardNth23beta1 = INITVALUE; - CCTK_REAL PDstandardNth1beta2 = INITVALUE; - CCTK_REAL PDstandardNth2beta2 = INITVALUE; - CCTK_REAL PDstandardNth3beta2 = INITVALUE; - CCTK_REAL PDstandardNth11beta2 = INITVALUE; - CCTK_REAL PDstandardNth22beta2 = INITVALUE; - CCTK_REAL PDstandardNth33beta2 = INITVALUE; - CCTK_REAL PDstandardNth12beta2 = INITVALUE; - CCTK_REAL PDstandardNth13beta2 = INITVALUE; - CCTK_REAL PDstandardNth23beta2 = INITVALUE; - CCTK_REAL PDstandardNth1beta3 = INITVALUE; - CCTK_REAL PDstandardNth2beta3 = INITVALUE; - CCTK_REAL PDstandardNth3beta3 = INITVALUE; - CCTK_REAL PDstandardNth11beta3 = INITVALUE; - CCTK_REAL PDstandardNth22beta3 = INITVALUE; - CCTK_REAL PDstandardNth33beta3 = INITVALUE; - CCTK_REAL PDstandardNth12beta3 = INITVALUE; - CCTK_REAL PDstandardNth13beta3 = INITVALUE; - CCTK_REAL PDstandardNth23beta3 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - etaL = eta[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - trKrhsL = trKrhs[index]; - Xt1L = Xt1[index]; - Xt1rhsL = Xt1rhs[index]; - Xt2L = Xt2[index]; - Xt2rhsL = Xt2rhs[index]; - Xt3L = Xt3[index]; - Xt3rhsL = Xt3rhs[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const etaL = eta[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* + CCTK_REAL const Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + @@ -528,7 +547,7 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xtn1 + @@ -580,7 +599,7 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn1 + @@ -632,7 +651,7 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + gt13L*SQR(Gt333))); - Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + @@ -662,7 +681,7 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn1 + @@ -713,7 +732,7 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + @@ -743,199 +762,231 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - cdphi1 = fac1*PDstandardNth1phi; + CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; - cdphi2 = fac1*PDstandardNth2phi; + CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; - cdphi3 = fac1*PDstandardNth3phi; + CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + + CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + + CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL const em4phi = INV(e4phi); - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL const g11 = e4phi*gt11L; - Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + CCTK_REAL const g12 = e4phi*gt12L; - Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + CCTK_REAL const g13 = e4phi*gt13L; - Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + CCTK_REAL const g22 = e4phi*gt22L; - Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + CCTK_REAL const g23 = e4phi*gt23L; - Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + CCTK_REAL const g33 = e4phi*gt33L; - Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + CCTK_REAL const gu11 = em4phi*gtu11; - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL const gu21 = em4phi*gtu21; - em4phi = INV(e4phi); + CCTK_REAL const gu31 = em4phi*gtu31; - g11 = e4phi*gt11L; + CCTK_REAL const gu22 = em4phi*gtu22; - g12 = e4phi*gt12L; + CCTK_REAL const gu32 = em4phi*gtu32; - g13 = e4phi*gt13L; + CCTK_REAL const gu33 = em4phi*gtu33; - g22 = e4phi*gt22L; + CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - g23 = e4phi*gt23L; + CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - g33 = e4phi*gt33L; + CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - gu11 = em4phi*gtu11; + CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - gu21 = em4phi*gtu21; + CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - gu31 = em4phi*gtu31; + CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - gu22 = em4phi*gtu22; + CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); - gu32 = em4phi*gtu32; + CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - gu33 = em4phi*gtu33; + CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); - G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); - G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const R11 = Rphi11 + Rt11; - G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + CCTK_REAL const R12 = Rphi12 + Rt12; - G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const R13 = Rphi13 + Rt13; - G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const R22 = Rphi22 + Rt22; - G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + CCTK_REAL const R23 = Rphi23 + Rt23; - G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + CCTK_REAL const R33 = Rphi33 + Rt33; - G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const T00 = eTttL; - G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const T01 = eTtxL; - G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + CCTK_REAL const T02 = eTtyL; - R11 = Rphi11 + Rt11; + CCTK_REAL const T03 = eTtzL; - R12 = Rphi12 + Rt12; + CCTK_REAL const T11 = eTxxL; - R13 = Rphi13 + Rt13; + CCTK_REAL const T12 = eTxyL; - R22 = Rphi22 + Rt22; + CCTK_REAL const T13 = eTxzL; - R23 = Rphi23 + Rt23; + CCTK_REAL const T22 = eTyyL; - R33 = Rphi33 + Rt33; + CCTK_REAL const T23 = eTyzL; - phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); + + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const trS = gu11*T11 + gu22*T22 + 2*(gu21*T12 + gu31*T13 + gu32*T23) + gu33*T33; + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); - gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); - gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); - gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; - Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + + CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + @@ -944,11 +995,12 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) + + ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); - Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + @@ -956,11 +1008,12 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) + + ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); - Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + @@ -968,98 +1021,113 @@ void ML_BSSN_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) + + ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + - PDupwindNth3(trK, i, j, k)*beta3L - gu11*PDstandardNth11alpha - 2*gu21*PDstandardNth12alpha - - 2*gu31*PDstandardNth13alpha + (G111*gu11 + 2*G112*gu21 + G122*gu22 + 2*G113*gu31 + 2*G123*gu32 + G133*gu33)* - PDstandardNth1alpha - gu22*PDstandardNth22alpha - 2*gu32*PDstandardNth23alpha + - (G211*gu11 + 2*G212*gu21 + G222*gu22 + 2*G213*gu31 + 2*G223*gu32 + G233*gu33)*PDstandardNth2alpha - - gu33*PDstandardNth33alpha + G311*gu11*PDstandardNth3alpha + G322*gu22*PDstandardNth3alpha + - 2*G313*gu31*PDstandardNth3alpha + 2*G323*gu32*PDstandardNth3alpha + G333*gu33*PDstandardNth3alpha + - 2*(alphaL*Atm12*Atm21 + alphaL*Atm13*Atm31 + alphaL*Atm23*Atm32 + G312*gu21*PDstandardNth3alpha) + - alphaL*SQR(Atm11) + alphaL*SQR(Atm22) + alphaL*SQR(Atm33) + alphaL*kthird*SQR(trKL); - - Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + + CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* + PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + + (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - + 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + + (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + + alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + + 0.3333333333333333333333333333333333333333*SQR(trKL)); + + CCTK_REAL const Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + alphaL*R11; - Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + + CCTK_REAL const Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + alphaL*R12; - Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + + CCTK_REAL const Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + alphaL*R13; - Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + + CCTK_REAL const Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + alphaL*R22; - Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + + CCTK_REAL const Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + alphaL*R23; - Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + + CCTK_REAL const Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + alphaL*R33; - trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; - At11rhsL = PDupwindNth1(At11, i, j, k)*beta1L + PDupwindNth2(At11, i, j, k)*beta2L + - PDupwindNth3(At11, i, j, k)*beta3L + 2*(At11L*PDstandardNth1beta1 + At12L*PDstandardNth1beta2 + - At13L*PDstandardNth1beta3) - At11L*ktwothird*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3) + - em4phi*(Ats11 - g11*kthird*trAts) + alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL); + CCTK_REAL const At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + + PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T11 + 8.377580409572781969233715688745341024526*g11*trS)); - At12rhsL = -2*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + + CCTK_REAL const At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + - em4phi*(Ats12 - g12*kthird*trAts) + At12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - - ktwothird*PDstandardNth3beta3 + alphaL*trKL); + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T12 + 8.377580409572781969233715688745341024526*g12*trS)); - At13rhsL = -2*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + + CCTK_REAL const At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + - em4phi*(Ats13 - g13*kthird*trAts) + At13L*(-(ktwothird*PDstandardNth2beta2) + - kthird*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL); - - At22rhsL = PDupwindNth1(At22, i, j, k)*beta1L + PDupwindNth2(At22, i, j, k)*beta2L + - PDupwindNth3(At22, i, j, k)*beta3L + 2*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + - At23L*PDstandardNth2beta3) - At22L*ktwothird*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3) + - em4phi*(Ats22 - g22*kthird*trAts) + alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL); - - At23rhsL = -2*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T13 + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL const At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + + PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T22 + 8.377580409572781969233715688745341024526*g22*trS)); + + CCTK_REAL const At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + - em4phi*(Ats23 - g23*kthird*trAts) + At23L*(-(ktwothird*PDstandardNth1beta1) + - kthird*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL); - - At33rhsL = PDupwindNth1(At33, i, j, k)*beta1L + PDupwindNth2(At33, i, j, k)*beta2L + - PDupwindNth3(At33, i, j, k)*beta3L - At33L*ktwothird* - (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3) + - 2*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3) + - em4phi*(Ats33 - g33*kthird*trAts) + alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL); - - alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T23 + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL const At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + + PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T33 + 8.377580409572781969233715688745341024526*g33*trS)); + + CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); - beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + + CCTK_REAL const B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; - B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + + CCTK_REAL const B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; - B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + + CCTK_REAL const B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; diff --git a/ML_BSSN/src/ML_BSSN_RHS1.c b/ML_BSSN/src/ML_BSSN_RHS1.c new file mode 100644 index 0000000..71e93dc --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_RHS1.c @@ -0,0 +1,560 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_RHS1_calc_every != ML_BSSN_RHS1_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_RHS1, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL fac1 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE, T13 = INITVALUE; + // CCTK_REAL T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const etaL = eta[index]; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(beta1L); + + int const dir2 = Sign(beta2L); + + int const dir3 = Sign(beta3L); + + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + + PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* + IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + + PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + + gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + + PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + + gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + + gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + + PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + + gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + + gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + + PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + + gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + + PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + + gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + + gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + + PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + + 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; + + CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + + gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + + PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + + gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + + 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - + ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - + 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); + + CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + + gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + + 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - + ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - + 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); + + CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + + PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + + gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - + 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + + 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - + ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - + 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + CCTK_REAL const B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL const B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL const B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; + + + /* Copy local copies back to grid functions */ + B1rhs[index] = B1rhsL; + B2rhs[index] = B2rhsL; + B3rhs[index] = B3rhsL; + beta1rhs[index] = beta1rhsL; + beta2rhs[index] = beta2rhsL; + beta3rhs[index] = beta3rhsL; + gt11rhs[index] = gt11rhsL; + gt12rhs[index] = gt12rhsL; + gt13rhs[index] = gt13rhsL; + gt22rhs[index] = gt22rhsL; + gt23rhs[index] = gt23rhsL; + gt33rhs[index] = gt33rhsL; + phirhs[index] = phirhsL; + Xt1rhs[index] = Xt1rhsL; + Xt2rhs[index] = Xt2rhsL; + Xt3rhs[index] = Xt3rhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_RHS1); +} + +void ML_BSSN_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS1_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_RHS2.c b/ML_BSSN/src/ML_BSSN_RHS2.c new file mode 100644 index 0000000..a8ff2dc --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_RHS2.c @@ -0,0 +1,878 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_RHS2_calc_every != ML_BSSN_RHS2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_RHS2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL g11 = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; + // CCTK_REAL g12 = INITVALUE; + // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; + // CCTK_REAL g13 = INITVALUE; + // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; + // CCTK_REAL g22 = INITVALUE; + // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; + // CCTK_REAL g23 = INITVALUE; + // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; + // CCTK_REAL g33 = INITVALUE; + // CCTK_REAL G333 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; + // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; + // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; + // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; + // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; + // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; + // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; + // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trAts = INITVALUE; + // CCTK_REAL trS = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(beta1L); + + int const dir2 = Sign(beta2L); + + int const dir3 = Sign(beta3L); + + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const Gtl111 = khalf*PDstandardNth1gt11; + + CCTK_REAL const Gtl112 = khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl113 = khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; + + CCTK_REAL const Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; + + CCTK_REAL const Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl212 = khalf*PDstandardNth1gt22; + + CCTK_REAL const Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl222 = khalf*PDstandardNth2gt22; + + CCTK_REAL const Gtl223 = khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; + + CCTK_REAL const Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12); + + CCTK_REAL const Gtl313 = khalf*PDstandardNth1gt33; + + CCTK_REAL const Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl323 = khalf*PDstandardNth2gt33; + + CCTK_REAL const Gtl333 = khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + + Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + gt11L*PDstandardNth1Xt1 + + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3 + + khalf*(-(gtu11*PDstandardNth11gt11) - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - + gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + + Gtl112*Xtn2 + Gtl113*Xtn3; + + CCTK_REAL const Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + + Gt222*Gtlu122 + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + Gt323*Gtlu133 + + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + + Gt311*Gtlu321 + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - 2*gtu21*PDstandardNth12gt12 - + 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - + gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + Gtl212*Xtn2 + + Gtl123*Xtn3 + Gtl213*Xtn3); + + CCTK_REAL const Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + + Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + Gt113*Gtlu133 + Gt333*Gtlu133 + + Gt211*Gtlu231 + Gt212*Gtlu232 + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) - + gtu11*PDstandardNth11gt13 - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - + gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); + + CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + + 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + + gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - 2*gtu21*PDstandardNth12gt22 - + 2*gtu31*PDstandardNth13gt22 - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - gtu33*PDstandardNth33gt22 + ) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; + + CCTK_REAL const Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + + Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + Gt313*Gtlu231 + Gt222*Gtlu232 + + Gt323*Gtlu232 + Gt223*Gtlu233 + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) - + gtu11*PDstandardNth11gt23 - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); + + CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + + Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - 2*gtu31*PDstandardNth13gt33 - + gtu22*PDstandardNth22gt33 - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + gt13L*PDstandardNth3Xt1 + + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; + + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + CCTK_REAL const g11 = e4phi*gt11L; + + CCTK_REAL const g12 = e4phi*gt12L; + + CCTK_REAL const g13 = e4phi*gt13L; + + CCTK_REAL const g22 = e4phi*gt22L; + + CCTK_REAL const g23 = e4phi*gt23L; + + CCTK_REAL const g33 = e4phi*gt33L; + + CCTK_REAL const gu11 = em4phi*gtu11; + + CCTK_REAL const gu21 = em4phi*gtu21; + + CCTK_REAL const gu31 = em4phi*gtu31; + + CCTK_REAL const gu22 = em4phi*gtu22; + + CCTK_REAL const gu32 = em4phi*gtu32; + + CCTK_REAL const gu33 = em4phi*gtu33; + + CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + + CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + + CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + + CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + + CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + + CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + + CCTK_REAL const R11 = Rphi11 + Rt11; + + CCTK_REAL const R12 = Rphi12 + Rt12; + + CCTK_REAL const R13 = Rphi13 + Rt13; + + CCTK_REAL const R22 = Rphi22 + Rt22; + + CCTK_REAL const R23 = Rphi23 + Rt23; + + CCTK_REAL const R33 = Rphi33 + Rt33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); + + CCTK_REAL const trS = gu11*T11 + gu22*T22 + 2*(gu21*T12 + gu31*T13 + gu32*T23) + gu33*T33; + + CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* + PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + + (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - + 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + + (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + + alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + + 0.3333333333333333333333333333333333333333*SQR(trKL)); + + CCTK_REAL const Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + + alphaL*R11; + + CCTK_REAL const Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + + alphaL*R12; + + CCTK_REAL const Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + + alphaL*R13; + + CCTK_REAL const Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + + alphaL*R22; + + CCTK_REAL const Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + + alphaL*R23; + + CCTK_REAL const Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + + alphaL*R33; + + CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL const At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + + PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T11 + 8.377580409572781969233715688745341024526*g11*trS)); + + CCTK_REAL const At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + + PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + + At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T12 + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL const At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + + PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + + At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T13 + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL const At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + + PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T22 + 8.377580409572781969233715688745341024526*g22*trS)); + + CCTK_REAL const At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + + PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + + At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T23 + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL const At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + + PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T33 + 8.377580409572781969233715688745341024526*g33*trS)); + + CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + + PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + + + /* Copy local copies back to grid functions */ + alpharhs[index] = alpharhsL; + Arhs[index] = ArhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; + trKrhs[index] = trKrhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_RHS2); +} + +void ML_BSSN_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS2_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c index cd5b2d2..d85f2c8 100644 --- a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c +++ b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,66 +93,66 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; - CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; - CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; - CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; - CCTK_REAL vg = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; + // CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; + // CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; + // CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; + // CCTK_REAL vg = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ @@ -165,117 +163,117 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(normal[0]); + int const dir1 = Sign(normal[0]); - dir2 = Sign(normal[1]); + int const dir2 = Sign(normal[1]); - dir3 = Sign(normal[2]); + int const dir3 = Sign(normal[2]); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - gu11 = em4phi*gtu11; + CCTK_REAL const gu11 = em4phi*gtu11; - gu21 = em4phi*gtu21; + CCTK_REAL const gu21 = em4phi*gtu21; - gu31 = em4phi*gtu31; + CCTK_REAL const gu31 = em4phi*gtu31; - gu22 = em4phi*gtu22; + CCTK_REAL const gu22 = em4phi*gtu22; - gu32 = em4phi*gtu32; + CCTK_REAL const gu32 = em4phi*gtu32; - gu33 = em4phi*gtu33; + CCTK_REAL const gu33 = em4phi*gtu33; - nn1 = normal[0]; + CCTK_REAL const nn1 = normal[0]; - nn2 = normal[1]; + CCTK_REAL const nn2 = normal[1]; - nn3 = normal[2]; + CCTK_REAL const nn3 = normal[2]; - nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + CCTK_REAL const nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + CCTK_REAL const nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + CCTK_REAL const nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + CCTK_REAL const nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - nlen = pow(nlen2,0.5); + CCTK_REAL const nlen = pow(nlen2,0.5); - su1 = nu1*INV(nlen); + CCTK_REAL const su1 = nu1*INV(nlen); - su2 = nu2*INV(nlen); + CCTK_REAL const su2 = nu2*INV(nlen); - su3 = nu3*INV(nlen); + CCTK_REAL const su3 = nu3*INV(nlen); - vg = pow(harmonicF,0.5); + CCTK_REAL const vg = pow(harmonicF,0.5); - phirhsL = -((PDonesided1(phi, i, j, k)*su1 + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + CCTK_REAL const phirhsL = -((PDonesided1(phi, i, j, k)*su1 + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + CCTK_REAL const gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; - gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + CCTK_REAL const gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; - gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + CCTK_REAL const gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; - gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + CCTK_REAL const gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; - gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + CCTK_REAL const gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; - gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + CCTK_REAL const gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; - trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + CCTK_REAL const trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + CCTK_REAL const At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; - At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + CCTK_REAL const At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; - At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + CCTK_REAL const At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; - At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + CCTK_REAL const At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; - At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + CCTK_REAL const At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; - At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + CCTK_REAL const At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; - Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + CCTK_REAL const Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; - Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + CCTK_REAL const Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; - Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + CCTK_REAL const Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + PDonesided2(alpha, i, j, k)*su2 + + CCTK_REAL const alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, i, j, k)*su3)*vg); - ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + CCTK_REAL const ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); - beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - PDonesided2(beta1, i, j, k)*su2 - + CCTK_REAL const beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, i, j, k)*su3; - beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - PDonesided2(beta2, i, j, k)*su2 - + CCTK_REAL const beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - PDonesided2(beta2, i, j, k)*su2 - PDonesided3(beta2, i, j, k)*su3; - beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - PDonesided2(beta3, i, j, k)*su2 - + CCTK_REAL const beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, i, j, k)*su3; - B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + CCTK_REAL const B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; - B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + CCTK_REAL const B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; - B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; + CCTK_REAL const B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c index d2c5559..f1a6c0a 100644 --- a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c +++ b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,23 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phirhsL = INITVALUE; - CCTK_REAL trKrhsL = INITVALUE; - CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phirhsL = INITVALUE; + // CCTK_REAL trKrhsL = INITVALUE; + // CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -127,55 +125,55 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phirhsL = 0; + CCTK_REAL const phirhsL = 0; - gt11rhsL = 0; + CCTK_REAL const gt11rhsL = 0; - gt12rhsL = 0; + CCTK_REAL const gt12rhsL = 0; - gt13rhsL = 0; + CCTK_REAL const gt13rhsL = 0; - gt22rhsL = 0; + CCTK_REAL const gt22rhsL = 0; - gt23rhsL = 0; + CCTK_REAL const gt23rhsL = 0; - gt33rhsL = 0; + CCTK_REAL const gt33rhsL = 0; - trKrhsL = 0; + CCTK_REAL const trKrhsL = 0; - At11rhsL = 0; + CCTK_REAL const At11rhsL = 0; - At12rhsL = 0; + CCTK_REAL const At12rhsL = 0; - At13rhsL = 0; + CCTK_REAL const At13rhsL = 0; - At22rhsL = 0; + CCTK_REAL const At22rhsL = 0; - At23rhsL = 0; + CCTK_REAL const At23rhsL = 0; - At33rhsL = 0; + CCTK_REAL const At33rhsL = 0; - Xt1rhsL = 0; + CCTK_REAL const Xt1rhsL = 0; - Xt2rhsL = 0; + CCTK_REAL const Xt2rhsL = 0; - Xt3rhsL = 0; + CCTK_REAL const Xt3rhsL = 0; - alpharhsL = 0; + CCTK_REAL const alpharhsL = 0; - ArhsL = 0; + CCTK_REAL const ArhsL = 0; - beta1rhsL = 0; + CCTK_REAL const beta1rhsL = 0; - beta2rhsL = 0; + CCTK_REAL const beta2rhsL = 0; - beta3rhsL = 0; + CCTK_REAL const beta3rhsL = 0; - B1rhsL = 0; + CCTK_REAL const B1rhsL = 0; - B2rhsL = 0; + CCTK_REAL const B2rhsL = 0; - B3rhsL = 0; + CCTK_REAL const B3rhsL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_boundary.c b/ML_BSSN/src/ML_BSSN_boundary.c index c44bca2..a2ad643 100644 --- a/ML_BSSN/src/ML_BSSN_boundary.c +++ b/ML_BSSN/src/ML_BSSN_boundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,23 @@ void ML_BSSN_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -127,55 +125,55 @@ void ML_BSSN_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); - gt11L = 1; + CCTK_REAL const gt11L = 1; - gt12L = 0; + CCTK_REAL const gt12L = 0; - gt13L = 0; + CCTK_REAL const gt13L = 0; - gt22L = 1; + CCTK_REAL const gt22L = 1; - gt23L = 0; + CCTK_REAL const gt23L = 0; - gt33L = 1; + CCTK_REAL const gt33L = 1; - trKL = 0; + CCTK_REAL const trKL = 0; - At11L = 0; + CCTK_REAL const At11L = 0; - At12L = 0; + CCTK_REAL const At12L = 0; - At13L = 0; + CCTK_REAL const At13L = 0; - At22L = 0; + CCTK_REAL const At22L = 0; - At23L = 0; + CCTK_REAL const At23L = 0; - At33L = 0; + CCTK_REAL const At33L = 0; - Xt1L = 0; + CCTK_REAL const Xt1L = 0; - Xt2L = 0; + CCTK_REAL const Xt2L = 0; - Xt3L = 0; + CCTK_REAL const Xt3L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - AL = 0; + CCTK_REAL const AL = 0; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; - B1L = 0; + CCTK_REAL const B1L = 0; - B2L = 0; + CCTK_REAL const B2L = 0; - B3L = 0; + CCTK_REAL const B3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_constraints.c b/ML_BSSN/src/ML_BSSN_constraints.c index bab2155..f63c3fd 100644 --- a/ML_BSSN/src/ML_BSSN_constraints.c +++ b/ML_BSSN/src/ML_BSSN_constraints.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,328 +93,358 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL trR = INITVALUE; + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trR = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL cAL = INITVALUE; - CCTK_REAL cSL = INITVALUE; - CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL cAL = INITVALUE; + // CCTK_REAL cSL = INITVALUE; + // CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1At11 = INITVALUE; - CCTK_REAL PDstandardNth2At11 = INITVALUE; - CCTK_REAL PDstandardNth3At11 = INITVALUE; - CCTK_REAL PDstandardNth1At12 = INITVALUE; - CCTK_REAL PDstandardNth2At12 = INITVALUE; - CCTK_REAL PDstandardNth3At12 = INITVALUE; - CCTK_REAL PDstandardNth1At13 = INITVALUE; - CCTK_REAL PDstandardNth2At13 = INITVALUE; - CCTK_REAL PDstandardNth3At13 = INITVALUE; - CCTK_REAL PDstandardNth1At22 = INITVALUE; - CCTK_REAL PDstandardNth2At22 = INITVALUE; - CCTK_REAL PDstandardNth3At22 = INITVALUE; - CCTK_REAL PDstandardNth1At23 = INITVALUE; - CCTK_REAL PDstandardNth2At23 = INITVALUE; - CCTK_REAL PDstandardNth3At23 = INITVALUE; - CCTK_REAL PDstandardNth1At33 = INITVALUE; - CCTK_REAL PDstandardNth2At33 = INITVALUE; - CCTK_REAL PDstandardNth3At33 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth1At11 = INITVALUE; + // CCTK_REAL PDstandardNth2At11 = INITVALUE; + // CCTK_REAL PDstandardNth3At11 = INITVALUE; + // CCTK_REAL PDstandardNth1At12 = INITVALUE; + // CCTK_REAL PDstandardNth2At12 = INITVALUE; + // CCTK_REAL PDstandardNth3At12 = INITVALUE; + // CCTK_REAL PDstandardNth1At13 = INITVALUE; + // CCTK_REAL PDstandardNth2At13 = INITVALUE; + // CCTK_REAL PDstandardNth3At13 = INITVALUE; + // CCTK_REAL PDstandardNth1At22 = INITVALUE; + // CCTK_REAL PDstandardNth2At22 = INITVALUE; + // CCTK_REAL PDstandardNth3At22 = INITVALUE; + // CCTK_REAL PDstandardNth1At23 = INITVALUE; + // CCTK_REAL PDstandardNth2At23 = INITVALUE; + // CCTK_REAL PDstandardNth3At23 = INITVALUE; + // CCTK_REAL PDstandardNth1At33 = INITVALUE; + // CCTK_REAL PDstandardNth2At33 = INITVALUE; + // CCTK_REAL PDstandardNth3At33 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); - PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); - PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); - PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* + CCTK_REAL const Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + @@ -448,7 +476,7 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xt1L + @@ -500,7 +528,7 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt1L + @@ -552,7 +580,7 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + gt13L*SQR(Gt333))); - Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + @@ -582,7 +610,7 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt1L + @@ -633,7 +661,7 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + @@ -663,158 +691,192 @@ void ML_BSSN_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - cdphi1 = fac1*PDstandardNth1phi; + CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; - cdphi2 = fac1*PDstandardNth2phi; + CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; - cdphi3 = fac1*PDstandardNth3phi; + CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + + CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + + CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + CCTK_REAL const gu11 = em4phi*gtu11; + + CCTK_REAL const gu21 = em4phi*gtu21; + + CCTK_REAL const gu31 = em4phi*gtu31; + + CCTK_REAL const gu22 = em4phi*gtu22; + + CCTK_REAL const gu32 = em4phi*gtu32; + + CCTK_REAL const gu33 = em4phi*gtu33; + + CCTK_REAL const R11 = Rphi11 + Rt11; + + CCTK_REAL const R12 = Rphi12 + Rt12; + + CCTK_REAL const R13 = Rphi13 + Rt13; + + CCTK_REAL const R22 = Rphi22 + Rt22; + + CCTK_REAL const R23 = Rphi23 + Rt23; + + CCTK_REAL const R33 = Rphi33 + Rt33; + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - em4phi = INV(e4phi); + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - gu11 = em4phi*gtu11; + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - gu21 = em4phi*gtu21; + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - gu31 = em4phi*gtu31; + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - gu22 = em4phi*gtu22; + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - gu32 = em4phi*gtu32; + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - gu33 = em4phi*gtu33; + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - R11 = Rphi11 + Rt11; + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - R12 = Rphi12 + Rt12; + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - R13 = Rphi13 + Rt13; + CCTK_REAL const T00 = eTttL; - R22 = Rphi22 + Rt22; + CCTK_REAL const T01 = eTtxL; - R23 = Rphi23 + Rt23; + CCTK_REAL const T02 = eTtyL; - R33 = Rphi33 + Rt33; + CCTK_REAL const T03 = eTtzL; - trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + CCTK_REAL const T11 = eTxxL; - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL const T12 = eTxyL; - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL const T13 = eTxzL; - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL const T22 = eTyyL; - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL const T23 = eTyzL; - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL const T33 = eTzzL; - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); - HL = -2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + trR - SQR(Atm11) - SQR(Atm22) - SQR(Atm33) + ktwothird*SQR(trKL); + CCTK_REAL const HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - 50.26548245743669181540229413247204614715*rho + trR - + 1.*(SQR(Atm11) + SQR(Atm22) + SQR(Atm33)) + 0.6666666666666666666666666666666666666667*SQR(trKL); - M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - At12L*Gt222*gtu22 - At23L*Gt312*gtu22 - At13L*Gt322*gtu22 + - At12L*(6*cdphi1*gtu21 - Gt111*gtu21 + 6*cdphi2*gtu22) + - At11L*(6*cdphi1*gtu11 - 2*Gt111*gtu11 + 6*cdphi2*gtu21 - Gt122*gtu22) + 6*At13L*cdphi1*gtu31 + - 6*At11L*cdphi3*gtu31 - At13L*Gt111*gtu31 - 3*At11L*Gt113*gtu31 - At23L*Gt211*gtu31 - 3*At12L*Gt213*gtu31 - - At33L*Gt311*gtu31 - 3*At13L*Gt313*gtu31 + 6*At13L*cdphi2*gtu32 + 6*At12L*cdphi3*gtu32 - At13L*Gt112*gtu32 - - At12L*Gt113*gtu32 - At23L*Gt212*gtu32 - At22L*Gt213*gtu32 - 2*At12L*Gt223*gtu32 - At33L*Gt312*gtu32 - - At23L*Gt313*gtu32 - 2*At13L*Gt323*gtu32 - 2*(At12L*Gt211*gtu11 + At13L*Gt311*gtu11 + At11L*Gt123*gtu32) + - 6*At13L*cdphi3*gtu33 - At13L*Gt113*gtu33 - At11L*Gt133*gtu33 - At23L*Gt213*gtu33 - At12L*Gt233*gtu33 - - At33L*Gt313*gtu33 - At13L*Gt333*gtu33 + gtu11*PDstandardNth1At11 + - gtu21*(-3*At11L*Gt112 - At22L*Gt211 - 3*At12L*Gt212 - At23L*Gt311 - 3*At13L*Gt312 + PDstandardNth1At12) + - gtu31*PDstandardNth1At13 - ktwothird*PDstandardNth1trK + gtu21*PDstandardNth2At11 + gtu22*PDstandardNth2At12 + - gtu32*PDstandardNth2At13 + gtu31*PDstandardNth3At11 + gtu32*PDstandardNth3At12 + gtu33*PDstandardNth3At13; + CCTK_REAL const M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + At11L*Gt123*gtu32) + + At12L*((6.*cdphi1 - 1.*Gt111)*gtu21 - 3.*Gt213*gtu31 + 6.*(cdphi2*gtu22 + cdphi3*gtu32) - 1.*Gt233*gtu33) - + 1.*((At22L*Gt212 + At12L*(Gt112 + Gt222) + At23L*Gt312 + At13L*Gt322)*gtu22 + + At13L*(Gt111*gtu31 + Gt112*gtu32 + Gt113*gtu33)) + + At11L*((6.*cdphi1 - 2.*Gt111)*gtu11 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 1.*(Gt122*gtu22 + Gt133*gtu33)) + + gtu11*PDstandardNth1At11 - 0.6666666666666666666666666666666666666667*PDstandardNth1trK + + gtu21*(-1.*(At22L*Gt211 + At23L*Gt311) - 3.*(At11L*Gt112 + At12L*Gt212 + At13L*Gt312) + PDstandardNth1At12 + + PDstandardNth2At11) + gtu22*PDstandardNth2At12 + + gtu31*(-3.*At11L*Gt113 - 1.*(At23L*Gt211 + At33L*Gt311) + At13L*(6.*cdphi1 - 3.*Gt313) + PDstandardNth1At13 + + PDstandardNth3At11) + gtu32*(-2.*At12L*Gt223 - + 1.*(At12L*Gt113 + At22L*Gt213 + At33L*Gt312 + At23L*(Gt212 + Gt313)) + At13L*(6.*cdphi2 - 2.*Gt323) + + PDstandardNth2At13 + PDstandardNth3At12) + + gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - + 25.13274122871834590770114706623602307358*S1; - M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - At12L*Gt212*gtu11 - At23L*Gt311*gtu11 - At13L*Gt312*gtu11 + - At12L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At22L*cdphi1*gtu21 + 6*At12L*cdphi2*gtu21 - 3*At12L*Gt112*gtu21 - - At11L*Gt122*gtu21 - 3*At22L*Gt212*gtu21 - At12L*Gt222*gtu21 - 3*At23L*Gt312*gtu21 - At13L*Gt322*gtu21 + - 6*At22L*cdphi2*gtu22 - 2*At12L*Gt122*gtu22 - 2*At22L*Gt222*gtu22 - 2*At23L*Gt322*gtu22 + 6*At23L*cdphi1*gtu31 + - 6*At12L*cdphi3*gtu31 - At13L*Gt112*gtu31 - 2*At12L*Gt113*gtu31 - At11L*Gt123*gtu31 - At23L*Gt212*gtu31 - - 2*At22L*Gt213*gtu31 - At12L*Gt223*gtu31 - At33L*Gt312*gtu31 - 2*At23L*Gt313*gtu31 - At13L*Gt323*gtu31 + - 6*At23L*cdphi2*gtu32 + 6*At22L*cdphi3*gtu32 - At13L*Gt122*gtu32 - 3*At12L*Gt123*gtu32 - At23L*Gt222*gtu32 - - 3*At22L*Gt223*gtu32 - At33L*Gt322*gtu32 - 3*At23L*Gt323*gtu32 + 6*At23L*cdphi3*gtu33 - At13L*Gt123*gtu33 - - At12L*Gt133*gtu33 - At23L*Gt223*gtu33 - At22L*Gt233*gtu33 - At33L*Gt323*gtu33 - At23L*Gt333*gtu33 + - gtu11*PDstandardNth1At12 + gtu21*PDstandardNth1At22 + gtu31*PDstandardNth1At23 + gtu21*PDstandardNth2At12 + - gtu22*PDstandardNth2At22 + gtu32*PDstandardNth2At23 - ktwothird*PDstandardNth2trK + gtu31*PDstandardNth3At12 + - gtu32*PDstandardNth3At22 + gtu33*PDstandardNth3At23; + CCTK_REAL const M2L = At12L*((6.*cdphi1 - 1.*Gt111)*gtu11 - 2.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - + 1.*Gt133*gtu33) + At22L*((6.*cdphi2 - 2.*Gt222)*gtu22 - 2.*Gt213*gtu31 + 6.*cdphi3*gtu32 - 1.*Gt233*gtu33) + + At23L*(-2.*Gt322*gtu22 - 1.*Gt333*gtu33 + 6.*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33)) - + 1.*((At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312)*gtu11 + + Gt122*(At11L*gtu21 + At13L*gtu32) + (At23L*Gt223 + At33L*Gt323)*gtu33 + At13L*(Gt112*gtu31 + Gt123*gtu33)) + + gtu11*PDstandardNth1At12 + gtu21*(At22L*(6.*cdphi1 - 3.*Gt212) + At12L*(-3.*Gt112 - 1.*Gt222) - 3.*At23L*Gt312 - + 1.*At13L*Gt322 + PDstandardNth1At22 + PDstandardNth2At12) + gtu22*PDstandardNth2At22 - + 0.6666666666666666666666666666666666666667*PDstandardNth2trK + + gtu31*(At12L*(-2.*Gt113 - 1.*Gt223) - 2.*At23L*Gt313 - 1.*(At11L*Gt123 + At23L*Gt212 + At33L*Gt312 + At13L*Gt323) + + PDstandardNth1At23 + PDstandardNth3At12) + + gtu32*(-1.*(At23L*Gt222 + At33L*Gt322) - 3.*(At22L*Gt223 + At23L*Gt323) + PDstandardNth2At23 + + PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - At12L*Gt213*gtu11 - At33L*Gt311*gtu11 - At13L*Gt313*gtu11 + - At13L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At23L*cdphi1*gtu21 + 6*At13L*cdphi2*gtu21 - 2*At13L*Gt112*gtu21 - - At12L*Gt113*gtu21 - At11L*Gt123*gtu21 - 2*At23L*Gt212*gtu21 - At22L*Gt213*gtu21 - At12L*Gt223*gtu21 - - 2*At33L*Gt312*gtu21 - At23L*Gt313*gtu21 - At13L*Gt323*gtu21 + 6*At23L*cdphi2*gtu22 - At13L*Gt122*gtu22 - - At12L*Gt123*gtu22 - At23L*Gt222*gtu22 - At22L*Gt223*gtu22 - At33L*Gt322*gtu22 - At23L*Gt323*gtu22 + - 6*At33L*cdphi1*gtu31 + 6*At13L*cdphi3*gtu31 - 3*At13L*Gt113*gtu31 - At11L*Gt133*gtu31 - 3*At23L*Gt213*gtu31 - - At12L*Gt233*gtu31 - 3*At33L*Gt313*gtu31 - At13L*Gt333*gtu31 + 6*At33L*cdphi2*gtu32 + 6*At23L*cdphi3*gtu32 - - 3*At13L*Gt123*gtu32 - At12L*Gt133*gtu32 - 3*At23L*Gt223*gtu32 - At22L*Gt233*gtu32 - 3*At33L*Gt323*gtu32 - - At23L*Gt333*gtu32 + 6*At33L*cdphi3*gtu33 - 2*At13L*Gt133*gtu33 - 2*At23L*Gt233*gtu33 - 2*At33L*Gt333*gtu33 + - gtu11*PDstandardNth1At13 + gtu21*PDstandardNth1At23 + gtu31*PDstandardNth1At33 + gtu21*PDstandardNth2At13 + - gtu22*PDstandardNth2At23 + gtu32*PDstandardNth2At33 + gtu31*PDstandardNth3At13 + gtu32*PDstandardNth3At23 + - gtu33*PDstandardNth3At33 - ktwothird*PDstandardNth3trK; + CCTK_REAL const M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311)*gtu11 + + (At22L*Gt223 + At33L*Gt322 + At23L*Gt323)*gtu22 + At11L*Gt133*gtu31 + + At12L*(Gt113*gtu21 + Gt123*gtu22 + Gt133*gtu32)) + + At13L*((6.*cdphi1 - 1.*(Gt111 + Gt313))*gtu11 - 1.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - + 3.*Gt123*gtu32 - 2.*Gt133*gtu33) + At23L*((6.*cdphi2 - 1.*Gt222)*gtu22 - 3.*Gt213*gtu31 + 6.*cdphi3*gtu32 - + 2.*Gt233*gtu33) + gtu11*PDstandardNth1At13 + + gtu21*(-2.*(At13L*Gt112 + At33L*Gt312) + At23L*(6.*cdphi1 - 2.*Gt212 - 1.*Gt313) - + 1.*(At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At13L*Gt323) + PDstandardNth1At23 + PDstandardNth2At13) + + gtu22*PDstandardNth2At23 + gtu31*(-1.*At12L*Gt233 + At33L*(6.*cdphi1 - 3.*Gt313) + At13L*(-3.*Gt113 - 1.*Gt333) + + PDstandardNth1At33 + PDstandardNth3At13) + + gtu32*(-1.*At22L*Gt233 + At33L*(6.*cdphi2 - 3.*Gt323) + At23L*(-3.*Gt223 - 1.*Gt333) + PDstandardNth2At33 + + PDstandardNth3At23) + gtu33*(At33L*(6.*cdphi3 - 2.*Gt333) + PDstandardNth3At33) - + 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - cSL = Log(detgt); + CCTK_REAL const cSL = Log(detgt); - cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; + CCTK_REAL const cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; - cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; + CCTK_REAL const cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; - cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; + CCTK_REAL const cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; - cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL const cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_constraints_boundary.c b/ML_BSSN/src/ML_BSSN_constraints_boundary.c index 364ac66..9a3c00a 100644 --- a/ML_BSSN/src/ML_BSSN_constraints_boundary.c +++ b/ML_BSSN/src/ML_BSSN_constraints_boundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_constraints_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,16 +93,16 @@ void ML_BSSN_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -120,13 +118,13 @@ void ML_BSSN_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - HL = 0; + CCTK_REAL const HL = 0; - M1L = 0; + CCTK_REAL const M1L = 0; - M2L = 0; + CCTK_REAL const M2L = 0; - M3L = 0; + CCTK_REAL const M3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c b/ML_BSSN/src/ML_BSSN_convertFromADMBase.c index 3d5e687..95c7d4c 100644 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBase.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertFromADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const di /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,65 +93,62 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const di i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detg = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alpL = alp[index]; - betaxL = betax[index]; - betayL = betay[index]; - betazL = betaz[index]; - gxxL = gxx[index]; - gxyL = gxy[index]; - gxzL = gxz[index]; - gyyL = gyy[index]; - gyzL = gyz[index]; - gzzL = gzz[index]; - kxxL = kxx[index]; - kxyL = kxy[index]; - kxzL = kxz[index]; - kyyL = kyy[index]; - kyzL = kyz[index]; - kzzL = kzz[index]; - phiL = phi[index]; - trKL = trK[index]; + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; /* Assign local copies of subblock grid functions */ @@ -164,83 +159,71 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const di /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - g11 = gxxL; - - g12 = gxyL; - - g13 = gxzL; - - g22 = gyyL; - - g23 = gyzL; - - g33 = gzzL; - - detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); + CCTK_REAL const g11 = gxxL; - gu11 = INV(detg)*(g22*g33 - SQR(g23)); + CCTK_REAL const g12 = gxyL; - gu21 = (g13*g23 - g12*g33)*INV(detg); + CCTK_REAL const g13 = gxzL; - gu31 = (-(g13*g22) + g12*g23)*INV(detg); + CCTK_REAL const g22 = gyyL; - gu22 = INV(detg)*(g11*g33 - SQR(g13)); + CCTK_REAL const g23 = gyzL; - gu32 = (g12*g13 - g11*g23)*INV(detg); + CCTK_REAL const g33 = gzzL; - gu33 = INV(detg)*(g11*g22 - SQR(g12)); + CCTK_REAL const detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); - phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + CCTK_REAL const gu11 = INV(detg)*(g22*g33 - SQR(g23)); - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL const gu21 = (g13*g23 - g12*g33)*INV(detg); - gt11L = em4phi*g11; + CCTK_REAL const gu31 = (-(g13*g22) + g12*g23)*INV(detg); - gt12L = em4phi*g12; + CCTK_REAL const gu22 = INV(detg)*(g11*g33 - SQR(g13)); - gt13L = em4phi*g13; + CCTK_REAL const gu32 = (g12*g13 - g11*g23)*INV(detg); - gt22L = em4phi*g22; + CCTK_REAL const gu33 = INV(detg)*(g11*g22 - SQR(g12)); - gt23L = em4phi*g23; + CCTK_REAL const phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - gt33L = em4phi*g33; + CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - K11 = kxxL; + CCTK_REAL const gt11L = em4phi*g11; - K12 = kxyL; + CCTK_REAL const gt12L = em4phi*g12; - K13 = kxzL; + CCTK_REAL const gt13L = em4phi*g13; - K22 = kyyL; + CCTK_REAL const gt22L = em4phi*g22; - K23 = kyzL; + CCTK_REAL const gt23L = em4phi*g23; - K33 = kzzL; + CCTK_REAL const gt33L = em4phi*g33; - trKL = gu11*K11 + gu22*K22 + 2*(gu21*K12 + gu31*K13 + gu32*K23) + gu33*K33; + CCTK_REAL const trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + gu33*kzzL; - At11L = em4phi*(K11 - g11*kthird*trKL); + CCTK_REAL const At11L = em4phi*(kxxL - g11*kthird*trKL); - At12L = em4phi*(K12 - g12*kthird*trKL); + CCTK_REAL const At12L = em4phi*(kxyL - g12*kthird*trKL); - At13L = em4phi*(K13 - g13*kthird*trKL); + CCTK_REAL const At13L = em4phi*(kxzL - g13*kthird*trKL); - At22L = em4phi*(K22 - g22*kthird*trKL); + CCTK_REAL const At22L = em4phi*(kyyL - g22*kthird*trKL); - At23L = em4phi*(K23 - g23*kthird*trKL); + CCTK_REAL const At23L = em4phi*(kyzL - g23*kthird*trKL); - At33L = em4phi*(K33 - g33*kthird*trKL); + CCTK_REAL const At33L = em4phi*(kzzL - g33*kthird*trKL); - alphaL = alpL; + CCTK_REAL const alphaL = alpL; - beta1L = betaxL; + CCTK_REAL const beta1L = betaxL; - beta2L = betayL; + CCTK_REAL const beta2L = betayL; - beta3L = betazL; + CCTK_REAL const beta3L = betazL; - etaL = BetaDriver; + CCTK_REAL const etaL = BetaDriver; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c index 8de9e36..68a3ba7 100644 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT con /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,194 +93,203 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT con i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; /* Assign local copies of grid functions */ - alphaL = alpha[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - dtalpL = dtalp[index]; - dtbetaxL = dtbetax[index]; - dtbetayL = dtbetay[index]; - dtbetazL = dtbetaz[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const dtalpL = dtalp[index]; + CCTK_REAL const dtbetaxL = dtbetax[index]; + CCTK_REAL const dtbetayL = dtbetay[index]; + CCTK_REAL const dtbetazL = dtbetaz[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL const Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL const Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL const Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); + CCTK_REAL const AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - B1L = 6*IfThen(ShiftGammaCoeff,dtbetaxL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth1(beta1, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth2(beta1, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth3(beta1, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); + CCTK_REAL const B1L = 6*IfThen(ShiftGammaCoeff != 0,dtbetaxL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth1(betax, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth2(betax, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); - B2L = 6*IfThen(ShiftGammaCoeff,dtbetayL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth1(beta2, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth2(beta2, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth3(beta2, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); + CCTK_REAL const B2L = 6*IfThen(ShiftGammaCoeff != 0,dtbetayL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth1(betay, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth2(betay, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); - B3L = 6*IfThen(ShiftGammaCoeff,dtbetazL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth1(beta3, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth2(beta3, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth3(beta3, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); + CCTK_REAL const B3L = 6*IfThen(ShiftGammaCoeff != 0,dtbetazL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth1(betaz, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth2(betaz, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBase.c b/ML_BSSN/src/ML_BSSN_convertToADMBase.c index 3fb72f9..5f5bde3 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBase.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBase.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,62 +93,60 @@ void ML_BSSN_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -161,63 +157,39 @@ void ML_BSSN_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - g11 = e4phi*gt11L; - - g12 = e4phi*gt12L; - - g13 = e4phi*gt13L; - - g22 = e4phi*gt22L; - - g23 = e4phi*gt23L; - - g33 = e4phi*gt33L; - - gxxL = g11; - - gxyL = g12; - - gxzL = g13; - - gyyL = g22; - - gyzL = g23; - - gzzL = g33; + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - K11 = At11L*e4phi + g11*kthird*trKL; + CCTK_REAL const gxxL = e4phi*gt11L; - K12 = At12L*e4phi + g12*kthird*trKL; + CCTK_REAL const gxyL = e4phi*gt12L; - K13 = At13L*e4phi + g13*kthird*trKL; + CCTK_REAL const gxzL = e4phi*gt13L; - K22 = At22L*e4phi + g22*kthird*trKL; + CCTK_REAL const gyyL = e4phi*gt22L; - K23 = At23L*e4phi + g23*kthird*trKL; + CCTK_REAL const gyzL = e4phi*gt23L; - K33 = At33L*e4phi + g33*kthird*trKL; + CCTK_REAL const gzzL = e4phi*gt33L; - kxxL = K11; + CCTK_REAL const kxxL = At11L*e4phi + gxxL*kthird*trKL; - kxyL = K12; + CCTK_REAL const kxyL = At12L*e4phi + gxyL*kthird*trKL; - kxzL = K13; + CCTK_REAL const kxzL = At13L*e4phi + gxzL*kthird*trKL; - kyyL = K22; + CCTK_REAL const kyyL = At22L*e4phi + gyyL*kthird*trKL; - kyzL = K23; + CCTK_REAL const kyzL = At23L*e4phi + gyzL*kthird*trKL; - kzzL = K33; + CCTK_REAL const kzzL = At33L*e4phi + gzzL*kthird*trKL; - alpL = alphaL; + CCTK_REAL const alpL = alphaL; - betaxL = beta1L; + CCTK_REAL const betaxL = beta1L; - betayL = beta2L; + CCTK_REAL const betayL = beta2L; - betazL = beta3L; + CCTK_REAL const betazL = beta3L; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c index 280b05e..8403ae3 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_IN /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,38 +93,38 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_IN i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -137,23 +135,23 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_IN /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - dtalpL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + + CCTK_REAL const dtalpL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + CCTK_REAL const dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + CCTK_REAL const dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + CCTK_REAL const dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c index cad10b0..06870f4 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,33 +93,33 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -132,13 +130,13 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; - dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; - dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c index 835480a..cae8455 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,33 +93,33 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -132,13 +130,13 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; - dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; - dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/ML_BSSN_enforce.c b/ML_BSSN/src/ML_BSSN_enforce.c index eb3b430..6d58561 100644 --- a/ML_BSSN/src/ML_BSSN_enforce.c +++ b/ML_BSSN/src/ML_BSSN_enforce.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,38 +93,39 @@ void ML_BSSN_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL trAt = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL trAt = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; /* Assign local copies of subblock grid functions */ @@ -137,45 +136,45 @@ void ML_BSSN_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL const trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; - At11L = At11L - gt11L*kthird*trAt; + CCTK_REAL const At11rhsL = At11L - gt11L*kthird*trAt; - At12L = At12L - gt12L*kthird*trAt; + CCTK_REAL const At12rhsL = At12L - gt12L*kthird*trAt; - At13L = At13L - gt13L*kthird*trAt; + CCTK_REAL const At13rhsL = At13L - gt13L*kthird*trAt; - At22L = At22L - gt22L*kthird*trAt; + CCTK_REAL const At22rhsL = At22L - gt22L*kthird*trAt; - At23L = At23L - gt23L*kthird*trAt; + CCTK_REAL const At23rhsL = At23L - gt23L*kthird*trAt; - At33L = At33L - gt33L*kthird*trAt; + CCTK_REAL const At33rhsL = At33L - gt33L*kthird*trAt; - alphaL = fmax(alphaL,MinimumLapse); + CCTK_REAL const alpharhsL = fmax(alphaL,MinimumLapse); /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; + alpharhs[index] = alpharhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; /* Copy local copies back to subblock grid functions */ } diff --git a/ML_BSSN/src/ML_BSSN_enforce2.c b/ML_BSSN/src/ML_BSSN_enforce2.c new file mode 100644 index 0000000..348c0da --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_enforce2.c @@ -0,0 +1,164 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_enforce2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_enforce2_Body"); + } + + if (cctk_iteration % ML_BSSN_enforce2_calc_every != ML_BSSN_enforce2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_enforce2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const alpharhsL = alpharhs[index]; + CCTK_REAL const At11rhsL = At11rhs[index]; + CCTK_REAL const At12rhsL = At12rhs[index]; + CCTK_REAL const At13rhsL = At13rhs[index]; + CCTK_REAL const At22rhsL = At22rhs[index]; + CCTK_REAL const At23rhsL = At23rhs[index]; + CCTK_REAL const At33rhsL = At33rhs[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const At11L = At11rhsL; + + CCTK_REAL const At12L = At12rhsL; + + CCTK_REAL const At13L = At13rhsL; + + CCTK_REAL const At22L = At22rhsL; + + CCTK_REAL const At23L = At23rhsL; + + CCTK_REAL const At33L = At33rhsL; + + CCTK_REAL const alphaL = alpharhsL; + + + /* Copy local copies back to grid functions */ + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_enforce2); +} + +void ML_BSSN_enforce2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_enforce2_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_setBetaDriver.c b/ML_BSSN/src/ML_BSSN_setBetaDriver.c index 04a369a..2f6a35f 100644 --- a/ML_BSSN/src/ML_BSSN_setBetaDriver.c +++ b/ML_BSSN/src/ML_BSSN_setBetaDriver.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_setBetaDriver_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CC /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,22 @@ void ML_BSSN_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CC i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL etaL = INITVALUE; - CCTK_REAL rL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL rL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - etaL = eta[index]; - rL = r[index]; + CCTK_REAL const rL = r[index]; /* Assign local copies of subblock grid functions */ @@ -122,7 +119,7 @@ void ML_BSSN_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CC /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - etaL = etaL*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); + CCTK_REAL const etaL = BetaDriver*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); /* Copy local copies back to grid functions */ diff --git a/ML_BSSN/src/make.code.defn b/ML_BSSN/src/make.code.defn index 461adc2..dcab216 100644 --- a/ML_BSSN/src/make.code.defn +++ b/ML_BSSN/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_setBetaDriver.c ML_BSSN_RHS.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_setBetaDriver.c ML_BSSN_RHS.c ML_BSSN_RHS1.c ML_BSSN_RHS2.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_enforce2.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c diff --git a/ML_BSSN_Helper/schedule.ccl b/ML_BSSN_Helper/schedule.ccl index 97c5c8c..48ebedc 100644 --- a/ML_BSSN_Helper/schedule.ccl +++ b/ML_BSSN_Helper/schedule.ccl @@ -87,9 +87,11 @@ if (CCTK_EQUALS (evolution_method, "ML_BSSN")) { SCHEDULE ML_BSSN_ExtrapolateGammas AT initial AFTER ML_BSSN_convertFromADMBaseGamma { LANG: C - SYNC: ML_Gamma - SYNC: ML_dtlapse - SYNC: ML_dtshift + # We don't need to synchronise here because extrapolation is now filling + # ghost zones + #SYNC: ML_Gamma + #SYNC: ML_dtlapse + #SYNC: ML_dtshift } "Extrapolate Gammas and time derivatives of lapse and shift" } @@ -114,6 +116,12 @@ if (CCTK_EQUALS (evolution_method, "ML_BSSN")) { SCHEDULE GROUP ML_BSSN_convertToADMBaseGroup IN ML_BSSN_convertToADMBaseGroupWrapper { + #SYNC: ADMBase::metric + #SYNC: ADMBase::curv + #SYNC: ADMBase::lapse + #SYNC: ADMBase::shift + #SYNC: ADMBase::dtlapse + #SYNC: ADMBase::dtshift } "Calculate ADM variables" if (CCTK_EQUALS (calculate_ADMBase_variables_at, "MoL_PostStep")) diff --git a/ML_BSSN_Helper/src/CopyADMBase.c b/ML_BSSN_Helper/src/CopyADMBase.c deleted file mode 100644 index 529e1c8..0000000 --- a/ML_BSSN_Helper/src/CopyADMBase.c +++ /dev/null @@ -1,50 +0,0 @@ -#include <stdlib.h> -#include <string.h> - -#include <cctk.h> -#include <cctk_Arguments.h> - -static void -copy (cGH const * restrict cctkGH, - CCTK_REAL * restrict dst, CCTK_REAL const * restrict src); - -void -ML_BSSN_CopyADMBase (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - copy (cctkGH, gxx, gxx_p); - copy (cctkGH, gxy, gxx_p); - copy (cctkGH, gxz, gxx_p); - copy (cctkGH, gyy, gxx_p); - copy (cctkGH, gyz, gxx_p); - copy (cctkGH, gzz, gxx_p); - - copy (cctkGH, kxx, gxx_p); - copy (cctkGH, kxy, gxx_p); - copy (cctkGH, kxz, gxx_p); - copy (cctkGH, kyy, gxx_p); - copy (cctkGH, kyz, gxx_p); - copy (cctkGH, kzz, gxx_p); - - copy (cctkGH, alp, alp_p); - - copy (cctkGH, betax, betax_p); - copy (cctkGH, betay, betay_p); - copy (cctkGH, betaz, betaz_p); - - copy (cctkGH, dtalp, dtalp_p); - - copy (cctkGH, dtbetax, dtbetax_p); - copy (cctkGH, dtbetay, dtbetay_p); - copy (cctkGH, dtbetaz, dtbetaz_p); -} - -static void -copy (cGH const * restrict const cctkGH, - CCTK_REAL * restrict const dst, CCTK_REAL const * restrict const src) -{ - size_t const npoints = - (size_t) cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[1] * cctkGH->cctk_lsh[2]; - memcpy (dst, src, npoints * sizeof *dst); -} diff --git a/ML_BSSN_Helper/src/SetGroupTags.c b/ML_BSSN_Helper/src/SetGroupTags.c index a3f20a7..7663e61 100644 --- a/ML_BSSN_Helper/src/SetGroupTags.c +++ b/ML_BSSN_Helper/src/SetGroupTags.c @@ -5,7 +5,9 @@ #include <assert.h> static void -set_group_tags (int const checkpoint, int const prolongate, +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, char const * restrict const gn); int @@ -13,35 +15,39 @@ ML_BSSN_SetGroupTags (void) { DECLARE_CCTK_PARAMETERS; - set_group_tags (0, 1, "ADMBase::metric"); - set_group_tags (0, 1, "ADMBase::curv"); - set_group_tags (0, 1, "ADMBase::lapse"); - set_group_tags (0, 1, "ADMBase::shift"); - set_group_tags (0, 1, "ADMBase::dtlapse"); - set_group_tags (0, 1, "ADMBase::dtshift"); + set_group_tags (0, 0, 1, "ADMBase::metric"); + set_group_tags (0, 0, 1, "ADMBase::curv"); + set_group_tags (0, 0, 1, "ADMBase::lapse"); + set_group_tags (0, 0, 1, "ADMBase::shift"); + set_group_tags (0, 0, 1, "ADMBase::dtlapse"); + set_group_tags (0, 0, 1, "ADMBase::dtshift"); - set_group_tags (0, 0, "ML_BSSN::ML_cons_detg"); - set_group_tags (0, 0, "ML_BSSN::ML_cons_Gamma"); - set_group_tags (0, 0, "ML_BSSN::ML_cons_traceA"); - set_group_tags (0, 0, "ML_BSSN::ML_Ham"); - set_group_tags (0, 0, "ML_BSSN::ML_mom"); - set_group_tags (0, 0, "ML_BSSN::ML_curvrhs"); + set_group_tags (0, 0, 0, "ML_BSSN::ML_cons_detg"); + set_group_tags (0, 0, 0, "ML_BSSN::ML_cons_Gamma"); + set_group_tags (0, 0, 0, "ML_BSSN::ML_cons_traceA"); + set_group_tags (0, 0, 0, "ML_BSSN::ML_Ham"); + set_group_tags (0, 0, 0, "ML_BSSN::ML_mom"); + + set_group_tags (0, 1, 0, "ML_BSSN::ML_BetaDriver"); int const checkpoint = rhs_timelevels > 1; - set_group_tags (checkpoint, 0, "ML_BSSN::ML_dtlapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_dtshiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_Gammarhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_lapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_log_confacrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_metricrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_shiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN::ML_trace_curvrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_dtlapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_dtshiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_Gammarhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_lapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_log_confacrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_metricrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_shiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_trace_curvrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN::ML_curvrhs"); return 0; } static void -set_group_tags (int const checkpoint, int const prolongate, +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, char const * restrict const gn) { assert (gn); @@ -53,17 +59,17 @@ set_group_tags (int const checkpoint, int const prolongate, assert (table >= 0); if (! checkpoint) { - int ierr; - ierr = Util_TableSetString (table, "no", "Checkpoint"); + int const ierr = Util_TableSetString (table, "no", "Checkpoint"); assert (! ierr); - - ierr = Util_TableSetString (table, "no", "Persistent"); + } + + if (! persistent) { + int const ierr = Util_TableSetString (table, "no", "Persistent"); assert (! ierr); } if (! prolongate) { - int ierr; - ierr = Util_TableSetString (table, "none", "Prolongation"); + int const ierr = Util_TableSetString (table, "none", "Prolongation"); assert (! ierr); } } diff --git a/ML_BSSN_Helper/src/make.code.defn b/ML_BSSN_Helper/src/make.code.defn index 2625d6c..a3ac433 100644 --- a/ML_BSSN_Helper/src/make.code.defn +++ b/ML_BSSN_Helper/src/make.code.defn @@ -1,3 +1,2 @@ # -*-Makefile-*- SRCS = ExtrapolateGammas.c NewRad.c RegisterConstrained.c RegisterSlicing.c SelectBCsADMBase.c SetGroupTags.c -# CopyADMBase.c diff --git a/ML_BSSN_M/interface.ccl b/ML_BSSN_M/interface.ccl deleted file mode 100644 index 7d2348a..0000000 --- a/ML_BSSN_M/interface.ccl +++ /dev/null @@ -1,205 +0,0 @@ -# File produced by Kranc - -implements: ML_BSSN_M - -inherits: ADMBase TmunuBase Grid GenericFD Boundary - - - -USES INCLUDE: GenericFD.h -USES INCLUDE: Symmetry.h -USES INCLUDE: sbp_calc_coeffs.h -USES INCLUDE: Boundary.h -USES INCLUDE: loopcontrol.h - -CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) -USES FUNCTION MoLRegisterEvolved - -SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) -USES FUNCTION Diff_coeff - -CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) -USES FUNCTION Boundary_SelectGroupForBC - -CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) -USES FUNCTION Boundary_SelectVarForBC - -public: -CCTK_REAL ML_BetaDriver type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - eta -} "ML_BetaDriver" - -public: -CCTK_REAL ML_cons_detg type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=2.0000000000000000000' -{ - cS -} "ML_cons_detg" - -public: -CCTK_REAL ML_cons_Gamma type=GF timelevels=1 tags='tensortypealias="U" tensorweight=0.66666666666666666667' -{ - cXt1, - cXt2, - cXt3 -} "ML_cons_Gamma" - -public: -CCTK_REAL ML_cons_traceA type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - cA -} "ML_cons_traceA" - -public: -CCTK_REAL ML_Ham type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - H -} "ML_Ham" - -public: -CCTK_REAL ML_mom type=GF timelevels=1 tags='tensortypealias="D" tensorweight=1.0000000000000000000' -{ - M1, - M2, - M3 -} "ML_mom" - -public: -CCTK_REAL ML_curv type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' -{ - At11, - At12, - At13, - At22, - At23, - At33 -} "ML_curv" - -public: -CCTK_REAL ML_dtlapse type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - A -} "ML_dtlapse" - -public: -CCTK_REAL ML_dtshift type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' -{ - B1, - B2, - B3 -} "ML_dtshift" - -public: -CCTK_REAL ML_Gamma type=GF timelevels=4 tags='tensortypealias="U" tensorweight=0.66666666666666666667' -{ - Xt1, - Xt2, - Xt3 -} "ML_Gamma" - -public: -CCTK_REAL ML_lapse type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - alpha -} "ML_lapse" - -public: -CCTK_REAL ML_log_confac type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=0.16666666666666666667' -{ - phi -} "ML_log_confac" - -public: -CCTK_REAL ML_metric type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' -{ - gt11, - gt12, - gt13, - gt22, - gt23, - gt33 -} "ML_metric" - -public: -CCTK_REAL ML_shift type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' -{ - beta1, - beta2, - beta3 -} "ML_shift" - -public: -CCTK_REAL ML_trace_curv type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - trK -} "ML_trace_curv" - -public: -CCTK_REAL ML_curvrhs type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' -{ - At11rhs, - At12rhs, - At13rhs, - At22rhs, - At23rhs, - At33rhs -} "ML_curvrhs" - -public: -CCTK_REAL ML_dtlapserhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - Arhs -} "ML_dtlapserhs" - -public: -CCTK_REAL ML_dtshiftrhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' -{ - B1rhs, - B2rhs, - B3rhs -} "ML_dtshiftrhs" - -public: -CCTK_REAL ML_Gammarhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=0.66666666666666666667' -{ - Xt1rhs, - Xt2rhs, - Xt3rhs -} "ML_Gammarhs" - -public: -CCTK_REAL ML_lapserhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - alpharhs -} "ML_lapserhs" - -public: -CCTK_REAL ML_log_confacrhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=0.16666666666666666667' -{ - phirhs -} "ML_log_confacrhs" - -public: -CCTK_REAL ML_metricrhs type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' -{ - gt11rhs, - gt12rhs, - gt13rhs, - gt22rhs, - gt23rhs, - gt33rhs -} "ML_metricrhs" - -public: -CCTK_REAL ML_shiftrhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' -{ - beta1rhs, - beta2rhs, - beta3rhs -} "ML_shiftrhs" - -public: -CCTK_REAL ML_trace_curvrhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' -{ - trKrhs -} "ML_trace_curvrhs" diff --git a/ML_BSSN_M/param.ccl b/ML_BSSN_M/param.ccl deleted file mode 100644 index 219cf0b..0000000 --- a/ML_BSSN_M/param.ccl +++ /dev/null @@ -1,1396 +0,0 @@ -# File produced by Kranc - - -shares: ADMBase - - -EXTENDS CCTK_KEYWORD evolution_method "evolution_method" -{ - ML_BSSN_M :: "" -} - - -EXTENDS CCTK_KEYWORD lapse_evolution_method "lapse_evolution_method" -{ - ML_BSSN_M :: "" -} - - -EXTENDS CCTK_KEYWORD shift_evolution_method "shift_evolution_method" -{ - ML_BSSN_M :: "" -} - - -EXTENDS CCTK_KEYWORD dtlapse_evolution_method "dtlapse_evolution_method" -{ - ML_BSSN_M :: "" -} - - -EXTENDS CCTK_KEYWORD dtshift_evolution_method "dtshift_evolution_method" -{ - ML_BSSN_M :: "" -} - - - -shares: GenericFD - -USES CCTK_INT stencil_width -USES CCTK_INT stencil_width_x -USES CCTK_INT stencil_width_y -USES CCTK_INT stencil_width_z -USES CCTK_INT boundary_width - - -shares: MethodOfLines - -USES CCTK_INT MoL_Num_Evolved_Vars - -restricted: -CCTK_INT verbose "verbose" -{ - *:* :: "" -} 0 - -restricted: -CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" -{ - "*:*" :: "" -} 1 - -restricted: -CCTK_REAL AlphaDriver "AlphaDriver" -{ - "*:*" :: "" -} 0 - -restricted: -CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" -{ - "*:*" :: "" -} 0 - -restricted: -CCTK_REAL BetaDriver "BetaDriver" -{ - "*:*" :: "" -} 0 - -restricted: -CCTK_REAL LapseAdvectionCoeff "Factor in front of the shift advection terms in 1+log" -{ - "*:*" :: "" -} 1 - -restricted: -CCTK_REAL ShiftAdvectionCoeff "Factor in front of the shift advection terms in gamma driver" -{ - "*:*" :: "" -} 1 - -restricted: -CCTK_REAL MinimumLapse "Minimum value of the lapse function" -{ - "*:*" :: "" -} -1 - -restricted: -CCTK_REAL SpatialBetaDriverRadius "Radius at which the BetaDriver starts to be reduced" -{ - "*:*" :: "" -} 1000000000000 - -restricted: -CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" -{ - *:* :: "" -} 2 - -restricted: -CCTK_INT ShiftAlphaPower "ShiftAlphaPower" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT conformalMethod "Treatment of conformal factor" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT useMatter "Add matter terms" -{ - *:* :: "" -} 1 - -private: -KEYWORD my_initial_data "my_initial_data" -{ - "ADMBase" :: "ADMBase" - "Minkowski" :: "Minkowski" -} "ADMBase" - -restricted: -KEYWORD my_initial_boundary_condition "my_initial_boundary_condition" -{ - "none" :: "none" -} "none" - -restricted: -KEYWORD my_rhs_boundary_condition "my_rhs_boundary_condition" -{ - "none" :: "none" - "static" :: "static" - "radiative" :: "radiative" -} "none" - -private: -KEYWORD my_boundary_condition "my_boundary_condition" -{ - "none" :: "none" - "Minkowski" :: "Minkowski" -} "none" - -restricted: -KEYWORD calculate_ADMBase_variables_at "calculate_ADMBase_variables_at" -{ - "MoL_PostStep" :: "MoL_PostStep" - "CCTK_EVOL" :: "CCTK_EVOL" - "CCTK_ANALYSIS" :: "CCTK_ANALYSIS" -} "MoL_PostStep" - -restricted: -KEYWORD UseSpatialBetaDriver "UseSpatialBetaDriver" -{ - "no" :: "no" - "yes" :: "yes" -} "no" - -private: -KEYWORD dt_lapse_shift_method "Treatment of ADMBase dtlapse and dtshift" -{ - "correct" :: "correct" - "noLapseShiftAdvection" :: "noLapseShiftAdvection" -} "correct" - -restricted: -CCTK_INT ML_BSSN_M_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars -{ - 25:25 :: "Number of evolved variables used by this thorn" -} 25 - -restricted: -CCTK_INT timelevels "Number of active timelevels" -{ - 0:4 :: "" -} 4 - -restricted: -CCTK_INT rhs_timelevels "Number of active RHS timelevels" -{ - 0:4 :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_Minkowski_calc_every "ML_BSSN_M_Minkowski_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertFromADMBase_calc_every "ML_BSSN_M_convertFromADMBase_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertFromADMBaseGamma_calc_every "ML_BSSN_M_convertFromADMBaseGamma_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_setBetaDriver_calc_every "ML_BSSN_M_setBetaDriver_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_RHS_calc_every "ML_BSSN_M_RHS_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_RHSStaticBoundary_calc_every "ML_BSSN_M_RHSStaticBoundary_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_RHSRadiativeBoundary_calc_every "ML_BSSN_M_RHSRadiativeBoundary_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_enforce_calc_every "ML_BSSN_M_enforce_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_boundary_calc_every "ML_BSSN_M_boundary_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBase_calc_every "ML_BSSN_M_convertToADMBase_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseDtLapseShift_calc_every "ML_BSSN_M_convertToADMBaseDtLapseShift_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_every "ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_every "ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_constraints_calc_every "ML_BSSN_M_constraints_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_constraints_boundary_calc_every "ML_BSSN_M_constraints_boundary_calc_every" -{ - *:* :: "" -} 1 - -restricted: -CCTK_INT ML_BSSN_M_Minkowski_calc_offset "ML_BSSN_M_Minkowski_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertFromADMBase_calc_offset "ML_BSSN_M_convertFromADMBase_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertFromADMBaseGamma_calc_offset "ML_BSSN_M_convertFromADMBaseGamma_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_setBetaDriver_calc_offset "ML_BSSN_M_setBetaDriver_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_RHS_calc_offset "ML_BSSN_M_RHS_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_RHSStaticBoundary_calc_offset "ML_BSSN_M_RHSStaticBoundary_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_RHSRadiativeBoundary_calc_offset "ML_BSSN_M_RHSRadiativeBoundary_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_enforce_calc_offset "ML_BSSN_M_enforce_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_boundary_calc_offset "ML_BSSN_M_boundary_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBase_calc_offset "ML_BSSN_M_convertToADMBase_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseDtLapseShift_calc_offset "ML_BSSN_M_convertToADMBaseDtLapseShift_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_offset "ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_offset "ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_constraints_calc_offset "ML_BSSN_M_constraints_calc_offset" -{ - *:* :: "" -} 0 - -restricted: -CCTK_INT ML_BSSN_M_constraints_boundary_calc_offset "ML_BSSN_M_constraints_boundary_calc_offset" -{ - *:* :: "" -} 0 - -private: -KEYWORD At11_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD At12_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD At13_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD At22_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD At23_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD At33_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD A_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD B1_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD B2_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD B3_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD Xt1_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD Xt2_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD Xt3_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD alpha_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD phi_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt11_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt12_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt13_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt22_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt23_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD gt33_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD beta1_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD beta2_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD beta3_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD trK_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_curv_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_dtlapse_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_dtshift_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_Gamma_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_lapse_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_log_confac_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_metric_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_shift_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -KEYWORD ML_trace_curv_bound "Boundary condition to implement" -{ - "flat" :: "Flat boundary condition" - "none" :: "No boundary condition" - "static" :: "Boundaries held fixed" - "radiative" :: "Radiation boundary condition" - "scalar" :: "Dirichlet boundary condition" - "newrad" :: "Improved radiative boundary condition" - "skip" :: "skip boundary condition code" -} "skip" - -private: -CCTK_REAL At11_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At12_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At13_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At22_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At23_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At33_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL A_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL B1_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL B2_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL B3_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL Xt1_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL Xt2_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL Xt3_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL alpha_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL phi_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt11_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt12_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt13_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt22_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt23_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL gt33_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL beta1_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL beta2_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL beta3_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL trK_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_curv_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_dtlapse_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_dtshift_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_Gamma_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_lapse_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_log_confac_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_metric_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_shift_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL ML_trace_curv_bound_speed "characteristic speed at boundary" -{ - "0:*" :: "outgoing characteristic speed > 0" -} 1. - -private: -CCTK_REAL At11_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At12_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At13_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At22_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At23_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At33_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL A_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL B1_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL B2_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL B3_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL Xt1_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL Xt2_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL Xt3_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL alpha_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL phi_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt11_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt12_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt13_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt22_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt23_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL gt33_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL beta1_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL beta2_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL beta3_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL trK_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_curv_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_dtlapse_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_dtshift_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_Gamma_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_lapse_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_log_confac_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_metric_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_shift_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL ML_trace_curv_bound_limit "limit value for r -> infinity" -{ - "*:*" :: "value of limit value is unrestricted" -} 0. - -private: -CCTK_REAL At11_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL At12_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL At13_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL At22_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL At23_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL At33_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL A_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL B1_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL B2_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL B3_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL Xt1_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL Xt2_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL Xt3_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL alpha_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL phi_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt11_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt12_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt13_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt22_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt23_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL gt33_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL beta1_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL beta2_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL beta3_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL trK_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_curv_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_dtlapse_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_dtshift_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_Gamma_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_lapse_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_log_confac_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_metric_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_shift_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - -private: -CCTK_REAL ML_trace_curv_bound_scalar "Dirichlet boundary value" -{ - "*:*" :: "unrestricted" -} 0. - diff --git a/ML_BSSN_M/schedule.ccl b/ML_BSSN_M/schedule.ccl deleted file mode 100644 index 6ce5bdf..0000000 --- a/ML_BSSN_M/schedule.ccl +++ /dev/null @@ -1,489 +0,0 @@ -# File produced by Kranc - - -STORAGE: ML_BetaDriver[1] - -STORAGE: ML_cons_detg[1] - -STORAGE: ML_cons_Gamma[1] - -STORAGE: ML_cons_traceA[1] - -STORAGE: ML_Ham[1] - -STORAGE: ML_mom[1] - -if (timelevels == 1) -{ - STORAGE: ML_curv[1] -} -if (timelevels == 2) -{ - STORAGE: ML_curv[2] -} -if (timelevels == 3) -{ - STORAGE: ML_curv[3] -} -if (timelevels == 4) -{ - STORAGE: ML_curv[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_dtlapse[1] -} -if (timelevels == 2) -{ - STORAGE: ML_dtlapse[2] -} -if (timelevels == 3) -{ - STORAGE: ML_dtlapse[3] -} -if (timelevels == 4) -{ - STORAGE: ML_dtlapse[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_dtshift[1] -} -if (timelevels == 2) -{ - STORAGE: ML_dtshift[2] -} -if (timelevels == 3) -{ - STORAGE: ML_dtshift[3] -} -if (timelevels == 4) -{ - STORAGE: ML_dtshift[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_Gamma[1] -} -if (timelevels == 2) -{ - STORAGE: ML_Gamma[2] -} -if (timelevels == 3) -{ - STORAGE: ML_Gamma[3] -} -if (timelevels == 4) -{ - STORAGE: ML_Gamma[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_lapse[1] -} -if (timelevels == 2) -{ - STORAGE: ML_lapse[2] -} -if (timelevels == 3) -{ - STORAGE: ML_lapse[3] -} -if (timelevels == 4) -{ - STORAGE: ML_lapse[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_log_confac[1] -} -if (timelevels == 2) -{ - STORAGE: ML_log_confac[2] -} -if (timelevels == 3) -{ - STORAGE: ML_log_confac[3] -} -if (timelevels == 4) -{ - STORAGE: ML_log_confac[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_metric[1] -} -if (timelevels == 2) -{ - STORAGE: ML_metric[2] -} -if (timelevels == 3) -{ - STORAGE: ML_metric[3] -} -if (timelevels == 4) -{ - STORAGE: ML_metric[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_shift[1] -} -if (timelevels == 2) -{ - STORAGE: ML_shift[2] -} -if (timelevels == 3) -{ - STORAGE: ML_shift[3] -} -if (timelevels == 4) -{ - STORAGE: ML_shift[4] -} - -if (timelevels == 1) -{ - STORAGE: ML_trace_curv[1] -} -if (timelevels == 2) -{ - STORAGE: ML_trace_curv[2] -} -if (timelevels == 3) -{ - STORAGE: ML_trace_curv[3] -} -if (timelevels == 4) -{ - STORAGE: ML_trace_curv[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_curvrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_curvrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_curvrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_curvrhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_dtlapserhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_dtlapserhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_dtlapserhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_dtlapserhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_dtshiftrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_dtshiftrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_dtshiftrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_dtshiftrhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_Gammarhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_Gammarhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_Gammarhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_Gammarhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_lapserhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_lapserhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_lapserhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_lapserhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_log_confacrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_log_confacrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_log_confacrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_log_confacrhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_metricrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_metricrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_metricrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_metricrhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_shiftrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_shiftrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_shiftrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_shiftrhs[4] -} - -if (rhs_timelevels == 1) -{ - STORAGE: ML_trace_curvrhs[1] -} -if (rhs_timelevels == 2) -{ - STORAGE: ML_trace_curvrhs[2] -} -if (rhs_timelevels == 3) -{ - STORAGE: ML_trace_curvrhs[3] -} -if (rhs_timelevels == 4) -{ - STORAGE: ML_trace_curvrhs[4] -} - -schedule ML_BSSN_M_Startup at STARTUP -{ - LANG: C - OPTIONS: meta -} "create banner" - -schedule ML_BSSN_M_RegisterVars in MoL_Register -{ - LANG: C - OPTIONS: meta -} "Register Variables for MoL" - -schedule ML_BSSN_M_RegisterSymmetries in SymmetryRegister -{ - LANG: C - OPTIONS: meta -} "register symmetries" - - -if (CCTK_EQUALS(my_initial_data, "Minkowski")) -{ - schedule ML_BSSN_M_Minkowski IN ADMBase_InitialData - { - LANG: C - } "ML_BSSN_M_Minkowski" -} - - -if (CCTK_EQUALS(my_initial_data, "ADMBase")) -{ - schedule ML_BSSN_M_convertFromADMBase AT initial AFTER ADMBase_PostInitial - { - LANG: C - } "ML_BSSN_M_convertFromADMBase" -} - - -if (CCTK_EQUALS(my_initial_data, "ADMBase")) -{ - schedule ML_BSSN_M_convertFromADMBaseGamma AT initial AFTER ML_BSSN_M_convertFromADMBase - { - LANG: C - SYNC: ML_dtlapse - SYNC: ML_dtshift - SYNC: ML_Gamma - } "ML_BSSN_M_convertFromADMBaseGamma" -} - - -if (CCTK_EQUALS(UseSpatialBetaDriver, "yes")) -{ - schedule ML_BSSN_M_setBetaDriver AT initial AFTER ADMBase_PostInitial AFTER ML_BSSN_M_convertFromADMBase - { - LANG: C - } "ML_BSSN_M_setBetaDriver" -} - -schedule ML_BSSN_M_RHS IN ML_BSSN_M_evolCalcGroup -{ - LANG: C -} "ML_BSSN_M_RHS" - - -if (CCTK_EQUALS(my_rhs_boundary_condition, "static")) -{ - schedule ML_BSSN_M_RHSStaticBoundary IN MoL_CalcRHS - { - LANG: C - } "ML_BSSN_M_RHSStaticBoundary" -} - - -if (CCTK_EQUALS(my_rhs_boundary_condition, "radiative")) -{ - schedule ML_BSSN_M_RHSRadiativeBoundary IN MoL_CalcRHS - { - LANG: C - } "ML_BSSN_M_RHSRadiativeBoundary" -} - -schedule ML_BSSN_M_enforce IN MoL_PostStep BEFORE ML_BSSN_M_BoundConds -{ - LANG: C -} "ML_BSSN_M_enforce" - - -if (CCTK_EQUALS(my_boundary_condition, "Minkowski")) -{ - schedule ML_BSSN_M_boundary IN MoL_PostStep - { - LANG: C - } "ML_BSSN_M_boundary" -} - -schedule ML_BSSN_M_convertToADMBase IN ML_BSSN_M_convertToADMBaseGroup -{ - LANG: C -} "ML_BSSN_M_convertToADMBase" - - -if (CCTK_EQUALS(dt_lapse_shift_method, "correct")) -{ - schedule ML_BSSN_M_convertToADMBaseDtLapseShift IN ML_BSSN_M_convertToADMBaseGroup - { - LANG: C - SYNC: ADMBase::dtlapse - SYNC: ADMBase::dtshift - } "ML_BSSN_M_convertToADMBaseDtLapseShift" -} - - -if (CCTK_EQUALS(dt_lapse_shift_method, "correct")) -{ - schedule ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary IN ML_BSSN_M_convertToADMBaseGroup - { - LANG: C - } "ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary" -} - - -if (CCTK_EQUALS(dt_lapse_shift_method, "noLapseShiftAdvection")) -{ - schedule ML_BSSN_M_convertToADMBaseFakeDtLapseShift IN ML_BSSN_M_convertToADMBaseGroup - { - LANG: C - } "ML_BSSN_M_convertToADMBaseFakeDtLapseShift" -} - -schedule ML_BSSN_M_constraints IN ML_BSSN_M_constraintsCalcGroup -{ - LANG: C - SYNC: ML_cons_detg - SYNC: ML_cons_Gamma - SYNC: ML_cons_traceA - SYNC: ML_Ham - SYNC: ML_mom -} "ML_BSSN_M_constraints" - -schedule ML_BSSN_M_constraints_boundary IN ML_BSSN_M_constraintsCalcGroup AFTER ML_BSSN_M_constraints -{ - LANG: C -} "ML_BSSN_M_constraints_boundary" - -schedule ML_BSSN_M_SelectBoundConds in MoL_PostStep -{ - LANG: C - OPTIONS: level - SYNC: ML_curv - SYNC: ML_dtlapse - SYNC: ML_dtshift - SYNC: ML_Gamma - SYNC: ML_lapse - SYNC: ML_log_confac - SYNC: ML_metric - SYNC: ML_shift - SYNC: ML_trace_curv -} "select boundary conditions" - -schedule ML_BSSN_M_CheckBoundaries at BASEGRID -{ - LANG: C - OPTIONS: meta -} "check boundaries treatment" - -schedule group ApplyBCs as ML_BSSN_M_ApplyBCs in MoL_PostStep after ML_BSSN_M_SelectBoundConds -{ - # no language specified -} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_BSSN_M/src/Boundaries.c b/ML_BSSN_M/src/Boundaries.c deleted file mode 100644 index 9e52745..0000000 --- a/ML_BSSN_M/src/Boundaries.c +++ /dev/null @@ -1,1809 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "cctk_Faces.h" -#include "util_Table.h" -#include "Symmetry.h" - - -/* the boundary treatment is split into 3 steps: */ -/* 1. excision */ -/* 2. symmetries */ -/* 3. "other" boundary conditions, e.g. radiative */ - -/* to simplify scheduling and testing, the 3 steps */ -/* are currently applied in separate functions */ - - -void ML_BSSN_M_CheckBoundaries(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - return; -} - -void ML_BSSN_M_SelectBoundConds(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - - if (CCTK_EQUALS(ML_curv_bound, "none" ) || - CCTK_EQUALS(ML_curv_bound, "static") || - CCTK_EQUALS(ML_curv_bound, "flat" ) || - CCTK_EQUALS(ML_curv_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_curv", ML_curv_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_curv_bound BC for ML_BSSN_M::ML_curv!"); - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "none" ) || - CCTK_EQUALS(ML_dtlapse_bound, "static") || - CCTK_EQUALS(ML_dtlapse_bound, "flat" ) || - CCTK_EQUALS(ML_dtlapse_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_dtlapse", ML_dtlapse_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_dtlapse_bound BC for ML_BSSN_M::ML_dtlapse!"); - } - - if (CCTK_EQUALS(ML_dtshift_bound, "none" ) || - CCTK_EQUALS(ML_dtshift_bound, "static") || - CCTK_EQUALS(ML_dtshift_bound, "flat" ) || - CCTK_EQUALS(ML_dtshift_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_dtshift", ML_dtshift_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_dtshift_bound BC for ML_BSSN_M::ML_dtshift!"); - } - - if (CCTK_EQUALS(ML_Gamma_bound, "none" ) || - CCTK_EQUALS(ML_Gamma_bound, "static") || - CCTK_EQUALS(ML_Gamma_bound, "flat" ) || - CCTK_EQUALS(ML_Gamma_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_Gamma", ML_Gamma_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_Gamma_bound BC for ML_BSSN_M::ML_Gamma!"); - } - - if (CCTK_EQUALS(ML_lapse_bound, "none" ) || - CCTK_EQUALS(ML_lapse_bound, "static") || - CCTK_EQUALS(ML_lapse_bound, "flat" ) || - CCTK_EQUALS(ML_lapse_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_lapse", ML_lapse_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_lapse_bound BC for ML_BSSN_M::ML_lapse!"); - } - - if (CCTK_EQUALS(ML_log_confac_bound, "none" ) || - CCTK_EQUALS(ML_log_confac_bound, "static") || - CCTK_EQUALS(ML_log_confac_bound, "flat" ) || - CCTK_EQUALS(ML_log_confac_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_log_confac", ML_log_confac_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_log_confac_bound BC for ML_BSSN_M::ML_log_confac!"); - } - - if (CCTK_EQUALS(ML_metric_bound, "none" ) || - CCTK_EQUALS(ML_metric_bound, "static") || - CCTK_EQUALS(ML_metric_bound, "flat" ) || - CCTK_EQUALS(ML_metric_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_metric", ML_metric_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_metric_bound BC for ML_BSSN_M::ML_metric!"); - } - - if (CCTK_EQUALS(ML_shift_bound, "none" ) || - CCTK_EQUALS(ML_shift_bound, "static") || - CCTK_EQUALS(ML_shift_bound, "flat" ) || - CCTK_EQUALS(ML_shift_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_shift", ML_shift_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_shift_bound BC for ML_BSSN_M::ML_shift!"); - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "none" ) || - CCTK_EQUALS(ML_trace_curv_bound, "static") || - CCTK_EQUALS(ML_trace_curv_bound, "flat" ) || - CCTK_EQUALS(ML_trace_curv_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::ML_trace_curv", ML_trace_curv_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_trace_curv_bound BC for ML_BSSN_M::ML_trace_curv!"); - } - - if (CCTK_EQUALS(At11_bound, "none" ) || - CCTK_EQUALS(At11_bound, "static") || - CCTK_EQUALS(At11_bound, "flat" ) || - CCTK_EQUALS(At11_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At11", At11_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At11_bound BC for ML_BSSN_M::At11!"); - } - - if (CCTK_EQUALS(At12_bound, "none" ) || - CCTK_EQUALS(At12_bound, "static") || - CCTK_EQUALS(At12_bound, "flat" ) || - CCTK_EQUALS(At12_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At12", At12_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At12_bound BC for ML_BSSN_M::At12!"); - } - - if (CCTK_EQUALS(At13_bound, "none" ) || - CCTK_EQUALS(At13_bound, "static") || - CCTK_EQUALS(At13_bound, "flat" ) || - CCTK_EQUALS(At13_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At13", At13_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At13_bound BC for ML_BSSN_M::At13!"); - } - - if (CCTK_EQUALS(At22_bound, "none" ) || - CCTK_EQUALS(At22_bound, "static") || - CCTK_EQUALS(At22_bound, "flat" ) || - CCTK_EQUALS(At22_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At22", At22_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At22_bound BC for ML_BSSN_M::At22!"); - } - - if (CCTK_EQUALS(At23_bound, "none" ) || - CCTK_EQUALS(At23_bound, "static") || - CCTK_EQUALS(At23_bound, "flat" ) || - CCTK_EQUALS(At23_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At23", At23_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At23_bound BC for ML_BSSN_M::At23!"); - } - - if (CCTK_EQUALS(At33_bound, "none" ) || - CCTK_EQUALS(At33_bound, "static") || - CCTK_EQUALS(At33_bound, "flat" ) || - CCTK_EQUALS(At33_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::At33", At33_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At33_bound BC for ML_BSSN_M::At33!"); - } - - if (CCTK_EQUALS(A_bound, "none" ) || - CCTK_EQUALS(A_bound, "static") || - CCTK_EQUALS(A_bound, "flat" ) || - CCTK_EQUALS(A_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::A", A_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register A_bound BC for ML_BSSN_M::A!"); - } - - if (CCTK_EQUALS(B1_bound, "none" ) || - CCTK_EQUALS(B1_bound, "static") || - CCTK_EQUALS(B1_bound, "flat" ) || - CCTK_EQUALS(B1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::B1", B1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B1_bound BC for ML_BSSN_M::B1!"); - } - - if (CCTK_EQUALS(B2_bound, "none" ) || - CCTK_EQUALS(B2_bound, "static") || - CCTK_EQUALS(B2_bound, "flat" ) || - CCTK_EQUALS(B2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::B2", B2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B2_bound BC for ML_BSSN_M::B2!"); - } - - if (CCTK_EQUALS(B3_bound, "none" ) || - CCTK_EQUALS(B3_bound, "static") || - CCTK_EQUALS(B3_bound, "flat" ) || - CCTK_EQUALS(B3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::B3", B3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B3_bound BC for ML_BSSN_M::B3!"); - } - - if (CCTK_EQUALS(Xt1_bound, "none" ) || - CCTK_EQUALS(Xt1_bound, "static") || - CCTK_EQUALS(Xt1_bound, "flat" ) || - CCTK_EQUALS(Xt1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::Xt1", Xt1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt1_bound BC for ML_BSSN_M::Xt1!"); - } - - if (CCTK_EQUALS(Xt2_bound, "none" ) || - CCTK_EQUALS(Xt2_bound, "static") || - CCTK_EQUALS(Xt2_bound, "flat" ) || - CCTK_EQUALS(Xt2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::Xt2", Xt2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt2_bound BC for ML_BSSN_M::Xt2!"); - } - - if (CCTK_EQUALS(Xt3_bound, "none" ) || - CCTK_EQUALS(Xt3_bound, "static") || - CCTK_EQUALS(Xt3_bound, "flat" ) || - CCTK_EQUALS(Xt3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::Xt3", Xt3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt3_bound BC for ML_BSSN_M::Xt3!"); - } - - if (CCTK_EQUALS(alpha_bound, "none" ) || - CCTK_EQUALS(alpha_bound, "static") || - CCTK_EQUALS(alpha_bound, "flat" ) || - CCTK_EQUALS(alpha_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::alpha", alpha_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register alpha_bound BC for ML_BSSN_M::alpha!"); - } - - if (CCTK_EQUALS(phi_bound, "none" ) || - CCTK_EQUALS(phi_bound, "static") || - CCTK_EQUALS(phi_bound, "flat" ) || - CCTK_EQUALS(phi_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::phi", phi_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register phi_bound BC for ML_BSSN_M::phi!"); - } - - if (CCTK_EQUALS(gt11_bound, "none" ) || - CCTK_EQUALS(gt11_bound, "static") || - CCTK_EQUALS(gt11_bound, "flat" ) || - CCTK_EQUALS(gt11_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt11", gt11_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt11_bound BC for ML_BSSN_M::gt11!"); - } - - if (CCTK_EQUALS(gt12_bound, "none" ) || - CCTK_EQUALS(gt12_bound, "static") || - CCTK_EQUALS(gt12_bound, "flat" ) || - CCTK_EQUALS(gt12_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt12", gt12_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt12_bound BC for ML_BSSN_M::gt12!"); - } - - if (CCTK_EQUALS(gt13_bound, "none" ) || - CCTK_EQUALS(gt13_bound, "static") || - CCTK_EQUALS(gt13_bound, "flat" ) || - CCTK_EQUALS(gt13_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt13", gt13_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt13_bound BC for ML_BSSN_M::gt13!"); - } - - if (CCTK_EQUALS(gt22_bound, "none" ) || - CCTK_EQUALS(gt22_bound, "static") || - CCTK_EQUALS(gt22_bound, "flat" ) || - CCTK_EQUALS(gt22_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt22", gt22_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt22_bound BC for ML_BSSN_M::gt22!"); - } - - if (CCTK_EQUALS(gt23_bound, "none" ) || - CCTK_EQUALS(gt23_bound, "static") || - CCTK_EQUALS(gt23_bound, "flat" ) || - CCTK_EQUALS(gt23_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt23", gt23_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt23_bound BC for ML_BSSN_M::gt23!"); - } - - if (CCTK_EQUALS(gt33_bound, "none" ) || - CCTK_EQUALS(gt33_bound, "static") || - CCTK_EQUALS(gt33_bound, "flat" ) || - CCTK_EQUALS(gt33_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::gt33", gt33_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt33_bound BC for ML_BSSN_M::gt33!"); - } - - if (CCTK_EQUALS(beta1_bound, "none" ) || - CCTK_EQUALS(beta1_bound, "static") || - CCTK_EQUALS(beta1_bound, "flat" ) || - CCTK_EQUALS(beta1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::beta1", beta1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta1_bound BC for ML_BSSN_M::beta1!"); - } - - if (CCTK_EQUALS(beta2_bound, "none" ) || - CCTK_EQUALS(beta2_bound, "static") || - CCTK_EQUALS(beta2_bound, "flat" ) || - CCTK_EQUALS(beta2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::beta2", beta2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta2_bound BC for ML_BSSN_M::beta2!"); - } - - if (CCTK_EQUALS(beta3_bound, "none" ) || - CCTK_EQUALS(beta3_bound, "static") || - CCTK_EQUALS(beta3_bound, "flat" ) || - CCTK_EQUALS(beta3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::beta3", beta3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta3_bound BC for ML_BSSN_M::beta3!"); - } - - if (CCTK_EQUALS(trK_bound, "none" ) || - CCTK_EQUALS(trK_bound, "static") || - CCTK_EQUALS(trK_bound, "flat" ) || - CCTK_EQUALS(trK_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_M::trK", trK_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register trK_bound BC for ML_BSSN_M::trK!"); - } - - if (CCTK_EQUALS(ML_curv_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_curv_bound = -1; - if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_curv_bound , ML_curv_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, - "ML_BSSN_M::ML_curv", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_curv!"); - - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_dtlapse_bound = -1; - if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound , ML_dtlapse_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, - "ML_BSSN_M::ML_dtlapse", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_dtlapse!"); - - } - - if (CCTK_EQUALS(ML_dtshift_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_dtshift_bound = -1; - if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound , ML_dtshift_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, - "ML_BSSN_M::ML_dtshift", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_dtshift!"); - - } - - if (CCTK_EQUALS(ML_Gamma_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_Gamma_bound = -1; - if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound , ML_Gamma_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, - "ML_BSSN_M::ML_Gamma", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_Gamma!"); - - } - - if (CCTK_EQUALS(ML_lapse_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_lapse_bound = -1; - if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_lapse_bound , ML_lapse_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, - "ML_BSSN_M::ML_lapse", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_lapse!"); - - } - - if (CCTK_EQUALS(ML_log_confac_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_log_confac_bound = -1; - if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound , ML_log_confac_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, - "ML_BSSN_M::ML_log_confac", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_log_confac!"); - - } - - if (CCTK_EQUALS(ML_metric_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_metric_bound = -1; - if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_metric_bound , ML_metric_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, - "ML_BSSN_M::ML_metric", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_metric!"); - - } - - if (CCTK_EQUALS(ML_shift_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_shift_bound = -1; - if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_shift_bound , ML_shift_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, - "ML_BSSN_M::ML_shift", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_shift!"); - - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_trace_curv_bound = -1; - if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound , ML_trace_curv_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, - "ML_BSSN_M::ML_trace_curv", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::ML_trace_curv!"); - - } - - if (CCTK_EQUALS(At11_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At11_bound = -1; - if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At11_bound , At11_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At11_bound ,At11_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, - "ML_BSSN_M::At11", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At11!"); - - } - - if (CCTK_EQUALS(At12_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At12_bound = -1; - if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At12_bound , At12_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At12_bound ,At12_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, - "ML_BSSN_M::At12", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At12!"); - - } - - if (CCTK_EQUALS(At13_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At13_bound = -1; - if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At13_bound , At13_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At13_bound ,At13_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, - "ML_BSSN_M::At13", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At13!"); - - } - - if (CCTK_EQUALS(At22_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At22_bound = -1; - if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At22_bound , At22_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At22_bound ,At22_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, - "ML_BSSN_M::At22", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At22!"); - - } - - if (CCTK_EQUALS(At23_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At23_bound = -1; - if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At23_bound , At23_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At23_bound ,At23_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, - "ML_BSSN_M::At23", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At23!"); - - } - - if (CCTK_EQUALS(At33_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At33_bound = -1; - if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At33_bound , At33_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At33_bound ,At33_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, - "ML_BSSN_M::At33", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::At33!"); - - } - - if (CCTK_EQUALS(A_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_A_bound = -1; - if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_A_bound , A_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_A_bound ,A_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, - "ML_BSSN_M::A", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::A!"); - - } - - if (CCTK_EQUALS(B1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B1_bound = -1; - if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B1_bound , B1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B1_bound ,B1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, - "ML_BSSN_M::B1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::B1!"); - - } - - if (CCTK_EQUALS(B2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B2_bound = -1; - if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B2_bound , B2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B2_bound ,B2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, - "ML_BSSN_M::B2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::B2!"); - - } - - if (CCTK_EQUALS(B3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B3_bound = -1; - if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B3_bound , B3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B3_bound ,B3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, - "ML_BSSN_M::B3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::B3!"); - - } - - if (CCTK_EQUALS(Xt1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt1_bound = -1; - if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt1_bound , Xt1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, - "ML_BSSN_M::Xt1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::Xt1!"); - - } - - if (CCTK_EQUALS(Xt2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt2_bound = -1; - if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt2_bound , Xt2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, - "ML_BSSN_M::Xt2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::Xt2!"); - - } - - if (CCTK_EQUALS(Xt3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt3_bound = -1; - if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt3_bound , Xt3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, - "ML_BSSN_M::Xt3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::Xt3!"); - - } - - if (CCTK_EQUALS(alpha_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_alpha_bound = -1; - if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_alpha_bound , alpha_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, - "ML_BSSN_M::alpha", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::alpha!"); - - } - - if (CCTK_EQUALS(phi_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_phi_bound = -1; - if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_phi_bound , phi_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_phi_bound ,phi_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, - "ML_BSSN_M::phi", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::phi!"); - - } - - if (CCTK_EQUALS(gt11_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt11_bound = -1; - if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt11_bound , gt11_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, - "ML_BSSN_M::gt11", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt11!"); - - } - - if (CCTK_EQUALS(gt12_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt12_bound = -1; - if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt12_bound , gt12_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, - "ML_BSSN_M::gt12", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt12!"); - - } - - if (CCTK_EQUALS(gt13_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt13_bound = -1; - if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt13_bound , gt13_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, - "ML_BSSN_M::gt13", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt13!"); - - } - - if (CCTK_EQUALS(gt22_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt22_bound = -1; - if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt22_bound , gt22_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, - "ML_BSSN_M::gt22", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt22!"); - - } - - if (CCTK_EQUALS(gt23_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt23_bound = -1; - if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt23_bound , gt23_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, - "ML_BSSN_M::gt23", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt23!"); - - } - - if (CCTK_EQUALS(gt33_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt33_bound = -1; - if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt33_bound , gt33_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, - "ML_BSSN_M::gt33", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::gt33!"); - - } - - if (CCTK_EQUALS(beta1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta1_bound = -1; - if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta1_bound , beta1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, - "ML_BSSN_M::beta1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::beta1!"); - - } - - if (CCTK_EQUALS(beta2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta2_bound = -1; - if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta2_bound , beta2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, - "ML_BSSN_M::beta2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::beta2!"); - - } - - if (CCTK_EQUALS(beta3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta3_bound = -1; - if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta3_bound , beta3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, - "ML_BSSN_M::beta3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::beta3!"); - - } - - if (CCTK_EQUALS(trK_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_trK_bound = -1; - if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_trK_bound , trK_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_trK_bound ,trK_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, - "ML_BSSN_M::trK", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_M::trK!"); - - } - - if (CCTK_EQUALS(ML_curv_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_curv_bound = -1; - if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, - "ML_BSSN_M::ML_curv", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_curv!"); - - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_dtlapse_bound = -1; - if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, - "ML_BSSN_M::ML_dtlapse", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_dtlapse!"); - - } - - if (CCTK_EQUALS(ML_dtshift_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_dtshift_bound = -1; - if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, - "ML_BSSN_M::ML_dtshift", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_dtshift!"); - - } - - if (CCTK_EQUALS(ML_Gamma_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_Gamma_bound = -1; - if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, - "ML_BSSN_M::ML_Gamma", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_Gamma!"); - - } - - if (CCTK_EQUALS(ML_lapse_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_lapse_bound = -1; - if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, - "ML_BSSN_M::ML_lapse", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_lapse!"); - - } - - if (CCTK_EQUALS(ML_log_confac_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_log_confac_bound = -1; - if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, - "ML_BSSN_M::ML_log_confac", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_log_confac!"); - - } - - if (CCTK_EQUALS(ML_metric_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_metric_bound = -1; - if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, - "ML_BSSN_M::ML_metric", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_metric!"); - - } - - if (CCTK_EQUALS(ML_shift_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_shift_bound = -1; - if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, - "ML_BSSN_M::ML_shift", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_shift!"); - - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_trace_curv_bound = -1; - if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, - "ML_BSSN_M::ML_trace_curv", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_M::ML_trace_curv!"); - - } - - if (CCTK_EQUALS(At11_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At11_bound = -1; - if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At11_bound ,At11_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, - "ML_BSSN_M::At11", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At11!"); - - } - - if (CCTK_EQUALS(At12_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At12_bound = -1; - if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At12_bound ,At12_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, - "ML_BSSN_M::At12", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At12!"); - - } - - if (CCTK_EQUALS(At13_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At13_bound = -1; - if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At13_bound ,At13_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, - "ML_BSSN_M::At13", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At13!"); - - } - - if (CCTK_EQUALS(At22_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At22_bound = -1; - if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At22_bound ,At22_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, - "ML_BSSN_M::At22", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At22!"); - - } - - if (CCTK_EQUALS(At23_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At23_bound = -1; - if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At23_bound ,At23_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, - "ML_BSSN_M::At23", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At23!"); - - } - - if (CCTK_EQUALS(At33_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At33_bound = -1; - if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At33_bound ,At33_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, - "ML_BSSN_M::At33", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::At33!"); - - } - - if (CCTK_EQUALS(A_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_A_bound = -1; - if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_A_bound ,A_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, - "ML_BSSN_M::A", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::A!"); - - } - - if (CCTK_EQUALS(B1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B1_bound = -1; - if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B1_bound ,B1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, - "ML_BSSN_M::B1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::B1!"); - - } - - if (CCTK_EQUALS(B2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B2_bound = -1; - if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B2_bound ,B2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, - "ML_BSSN_M::B2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::B2!"); - - } - - if (CCTK_EQUALS(B3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B3_bound = -1; - if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B3_bound ,B3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, - "ML_BSSN_M::B3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::B3!"); - - } - - if (CCTK_EQUALS(Xt1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt1_bound = -1; - if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, - "ML_BSSN_M::Xt1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::Xt1!"); - - } - - if (CCTK_EQUALS(Xt2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt2_bound = -1; - if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, - "ML_BSSN_M::Xt2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::Xt2!"); - - } - - if (CCTK_EQUALS(Xt3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt3_bound = -1; - if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, - "ML_BSSN_M::Xt3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::Xt3!"); - - } - - if (CCTK_EQUALS(alpha_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_alpha_bound = -1; - if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, - "ML_BSSN_M::alpha", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::alpha!"); - - } - - if (CCTK_EQUALS(phi_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_phi_bound = -1; - if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_phi_bound ,phi_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, - "ML_BSSN_M::phi", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::phi!"); - - } - - if (CCTK_EQUALS(gt11_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt11_bound = -1; - if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, - "ML_BSSN_M::gt11", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt11!"); - - } - - if (CCTK_EQUALS(gt12_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt12_bound = -1; - if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, - "ML_BSSN_M::gt12", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt12!"); - - } - - if (CCTK_EQUALS(gt13_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt13_bound = -1; - if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, - "ML_BSSN_M::gt13", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt13!"); - - } - - if (CCTK_EQUALS(gt22_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt22_bound = -1; - if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, - "ML_BSSN_M::gt22", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt22!"); - - } - - if (CCTK_EQUALS(gt23_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt23_bound = -1; - if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, - "ML_BSSN_M::gt23", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt23!"); - - } - - if (CCTK_EQUALS(gt33_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt33_bound = -1; - if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, - "ML_BSSN_M::gt33", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::gt33!"); - - } - - if (CCTK_EQUALS(beta1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta1_bound = -1; - if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, - "ML_BSSN_M::beta1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::beta1!"); - - } - - if (CCTK_EQUALS(beta2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta2_bound = -1; - if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, - "ML_BSSN_M::beta2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::beta2!"); - - } - - if (CCTK_EQUALS(beta3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta3_bound = -1; - if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, - "ML_BSSN_M::beta3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::beta3!"); - - } - - if (CCTK_EQUALS(trK_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_trK_bound = -1; - if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_trK_bound ,trK_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, - "ML_BSSN_M::trK", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_M::trK!"); - - } - return; -} - - - -/* template for entries in parameter file: -#$bound$#ML_BSSN_M::ML_curv_bound = "skip" -#$bound$#ML_BSSN_M::ML_curv_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_curv_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_curv_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_dtlapse_bound = "skip" -#$bound$#ML_BSSN_M::ML_dtlapse_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_dtlapse_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_dtlapse_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_dtshift_bound = "skip" -#$bound$#ML_BSSN_M::ML_dtshift_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_dtshift_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_dtshift_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_Gamma_bound = "skip" -#$bound$#ML_BSSN_M::ML_Gamma_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_Gamma_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_Gamma_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_lapse_bound = "skip" -#$bound$#ML_BSSN_M::ML_lapse_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_lapse_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_lapse_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_log_confac_bound = "skip" -#$bound$#ML_BSSN_M::ML_log_confac_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_log_confac_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_log_confac_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_metric_bound = "skip" -#$bound$#ML_BSSN_M::ML_metric_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_metric_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_metric_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_shift_bound = "skip" -#$bound$#ML_BSSN_M::ML_shift_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_shift_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_shift_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::ML_trace_curv_bound = "skip" -#$bound$#ML_BSSN_M::ML_trace_curv_bound_speed = 1.0 -#$bound$#ML_BSSN_M::ML_trace_curv_bound_limit = 0.0 -#$bound$#ML_BSSN_M::ML_trace_curv_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At11_bound = "skip" -#$bound$#ML_BSSN_M::At11_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At11_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At11_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At12_bound = "skip" -#$bound$#ML_BSSN_M::At12_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At12_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At12_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At13_bound = "skip" -#$bound$#ML_BSSN_M::At13_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At13_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At13_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At22_bound = "skip" -#$bound$#ML_BSSN_M::At22_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At22_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At22_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At23_bound = "skip" -#$bound$#ML_BSSN_M::At23_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At23_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At23_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::At33_bound = "skip" -#$bound$#ML_BSSN_M::At33_bound_speed = 1.0 -#$bound$#ML_BSSN_M::At33_bound_limit = 0.0 -#$bound$#ML_BSSN_M::At33_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::A_bound = "skip" -#$bound$#ML_BSSN_M::A_bound_speed = 1.0 -#$bound$#ML_BSSN_M::A_bound_limit = 0.0 -#$bound$#ML_BSSN_M::A_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::B1_bound = "skip" -#$bound$#ML_BSSN_M::B1_bound_speed = 1.0 -#$bound$#ML_BSSN_M::B1_bound_limit = 0.0 -#$bound$#ML_BSSN_M::B1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::B2_bound = "skip" -#$bound$#ML_BSSN_M::B2_bound_speed = 1.0 -#$bound$#ML_BSSN_M::B2_bound_limit = 0.0 -#$bound$#ML_BSSN_M::B2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::B3_bound = "skip" -#$bound$#ML_BSSN_M::B3_bound_speed = 1.0 -#$bound$#ML_BSSN_M::B3_bound_limit = 0.0 -#$bound$#ML_BSSN_M::B3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::Xt1_bound = "skip" -#$bound$#ML_BSSN_M::Xt1_bound_speed = 1.0 -#$bound$#ML_BSSN_M::Xt1_bound_limit = 0.0 -#$bound$#ML_BSSN_M::Xt1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::Xt2_bound = "skip" -#$bound$#ML_BSSN_M::Xt2_bound_speed = 1.0 -#$bound$#ML_BSSN_M::Xt2_bound_limit = 0.0 -#$bound$#ML_BSSN_M::Xt2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::Xt3_bound = "skip" -#$bound$#ML_BSSN_M::Xt3_bound_speed = 1.0 -#$bound$#ML_BSSN_M::Xt3_bound_limit = 0.0 -#$bound$#ML_BSSN_M::Xt3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::alpha_bound = "skip" -#$bound$#ML_BSSN_M::alpha_bound_speed = 1.0 -#$bound$#ML_BSSN_M::alpha_bound_limit = 0.0 -#$bound$#ML_BSSN_M::alpha_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::phi_bound = "skip" -#$bound$#ML_BSSN_M::phi_bound_speed = 1.0 -#$bound$#ML_BSSN_M::phi_bound_limit = 0.0 -#$bound$#ML_BSSN_M::phi_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt11_bound = "skip" -#$bound$#ML_BSSN_M::gt11_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt11_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt11_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt12_bound = "skip" -#$bound$#ML_BSSN_M::gt12_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt12_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt12_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt13_bound = "skip" -#$bound$#ML_BSSN_M::gt13_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt13_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt13_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt22_bound = "skip" -#$bound$#ML_BSSN_M::gt22_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt22_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt22_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt23_bound = "skip" -#$bound$#ML_BSSN_M::gt23_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt23_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt23_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::gt33_bound = "skip" -#$bound$#ML_BSSN_M::gt33_bound_speed = 1.0 -#$bound$#ML_BSSN_M::gt33_bound_limit = 0.0 -#$bound$#ML_BSSN_M::gt33_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::beta1_bound = "skip" -#$bound$#ML_BSSN_M::beta1_bound_speed = 1.0 -#$bound$#ML_BSSN_M::beta1_bound_limit = 0.0 -#$bound$#ML_BSSN_M::beta1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::beta2_bound = "skip" -#$bound$#ML_BSSN_M::beta2_bound_speed = 1.0 -#$bound$#ML_BSSN_M::beta2_bound_limit = 0.0 -#$bound$#ML_BSSN_M::beta2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::beta3_bound = "skip" -#$bound$#ML_BSSN_M::beta3_bound_speed = 1.0 -#$bound$#ML_BSSN_M::beta3_bound_limit = 0.0 -#$bound$#ML_BSSN_M::beta3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_M::trK_bound = "skip" -#$bound$#ML_BSSN_M::trK_bound_speed = 1.0 -#$bound$#ML_BSSN_M::trK_bound_limit = 0.0 -#$bound$#ML_BSSN_M::trK_bound_scalar = 0.0 - -*/ - diff --git a/ML_BSSN_M/src/Differencing.h b/ML_BSSN_M/src/Differencing.h deleted file mode 100644 index 414cf95..0000000 --- a/ML_BSSN_M/src/Differencing.h +++ /dev/null @@ -1,18 +0,0 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 2*dir1),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 3*dir1),(int)(j),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i - dir1),(int)(j),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 2*dir2),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 3*dir2),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j - dir2),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] - 6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 2*dir3))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 3*dir3))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k - dir3))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) diff --git a/ML_BSSN_M/src/ML_BSSN_M_Minkowski.c b/ML_BSSN_M/src/ML_BSSN_M_Minkowski.c deleted file mode 100644 index 4574716..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_Minkowski.c +++ /dev/null @@ -1,223 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_Minkowski_Body"); - } - - if (cctk_iteration % ML_BSSN_M_Minkowski_calc_every != ML_BSSN_M_Minkowski_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_Minkowski, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); - - gt11L = 1; - - gt12L = 0; - - gt13L = 0; - - gt22L = 1; - - gt23L = 0; - - gt33L = 1; - - trKL = 0; - - At11L = 0; - - At12L = 0; - - At13L = 0; - - At22L = 0; - - At23L = 0; - - At33L = 0; - - Xt1L = 0; - - Xt2L = 0; - - Xt3L = 0; - - alphaL = 1; - - AL = 0; - - beta1L = 0; - - beta2L = 0; - - beta3L = 0; - - B1L = 0; - - B2L = 0; - - B3L = 0; - - etaL = BetaDriver; - - - /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - eta[index] = etaL; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_Minkowski); -} - -void ML_BSSN_M_Minkowski(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_Minkowski_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_RHS.c b/ML_BSSN_M/src/ML_BSSN_M_RHS.c deleted file mode 100644 index cdd786a..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_RHS.c +++ /dev/null @@ -1,1179 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_RHS_Body"); - } - - if (cctk_iteration % ML_BSSN_M_RHS_calc_every != ML_BSSN_M_RHS_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_RHS, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; - CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL g11 = INITVALUE; - CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; - CCTK_REAL g12 = INITVALUE; - CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; - CCTK_REAL g13 = INITVALUE; - CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; - CCTK_REAL g22 = INITVALUE; - CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; - CCTK_REAL g23 = INITVALUE; - CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; - CCTK_REAL g33 = INITVALUE; - CCTK_REAL G333 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL rho = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; - CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; - CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; - CCTK_REAL trAts = INITVALUE; - CCTK_REAL trS = INITVALUE; - CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL eTttL = INITVALUE; - CCTK_REAL eTtxL = INITVALUE; - CCTK_REAL eTtyL = INITVALUE; - CCTK_REAL eTtzL = INITVALUE; - CCTK_REAL eTxxL = INITVALUE; - CCTK_REAL eTxyL = INITVALUE; - CCTK_REAL eTxzL = INITVALUE; - CCTK_REAL eTyyL = INITVALUE; - CCTK_REAL eTyzL = INITVALUE; - CCTK_REAL eTzzL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - CCTK_REAL PDstandardNth1alpha = INITVALUE; - CCTK_REAL PDstandardNth2alpha = INITVALUE; - CCTK_REAL PDstandardNth3alpha = INITVALUE; - CCTK_REAL PDstandardNth11alpha = INITVALUE; - CCTK_REAL PDstandardNth22alpha = INITVALUE; - CCTK_REAL PDstandardNth33alpha = INITVALUE; - CCTK_REAL PDstandardNth12alpha = INITVALUE; - CCTK_REAL PDstandardNth13alpha = INITVALUE; - CCTK_REAL PDstandardNth23alpha = INITVALUE; - CCTK_REAL PDstandardNth1beta1 = INITVALUE; - CCTK_REAL PDstandardNth2beta1 = INITVALUE; - CCTK_REAL PDstandardNth3beta1 = INITVALUE; - CCTK_REAL PDstandardNth11beta1 = INITVALUE; - CCTK_REAL PDstandardNth22beta1 = INITVALUE; - CCTK_REAL PDstandardNth33beta1 = INITVALUE; - CCTK_REAL PDstandardNth12beta1 = INITVALUE; - CCTK_REAL PDstandardNth13beta1 = INITVALUE; - CCTK_REAL PDstandardNth23beta1 = INITVALUE; - CCTK_REAL PDstandardNth1beta2 = INITVALUE; - CCTK_REAL PDstandardNth2beta2 = INITVALUE; - CCTK_REAL PDstandardNth3beta2 = INITVALUE; - CCTK_REAL PDstandardNth11beta2 = INITVALUE; - CCTK_REAL PDstandardNth22beta2 = INITVALUE; - CCTK_REAL PDstandardNth33beta2 = INITVALUE; - CCTK_REAL PDstandardNth12beta2 = INITVALUE; - CCTK_REAL PDstandardNth13beta2 = INITVALUE; - CCTK_REAL PDstandardNth23beta2 = INITVALUE; - CCTK_REAL PDstandardNth1beta3 = INITVALUE; - CCTK_REAL PDstandardNth2beta3 = INITVALUE; - CCTK_REAL PDstandardNth3beta3 = INITVALUE; - CCTK_REAL PDstandardNth11beta3 = INITVALUE; - CCTK_REAL PDstandardNth22beta3 = INITVALUE; - CCTK_REAL PDstandardNth33beta3 = INITVALUE; - CCTK_REAL PDstandardNth12beta3 = INITVALUE; - CCTK_REAL PDstandardNth13beta3 = INITVALUE; - CCTK_REAL PDstandardNth23beta3 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - etaL = eta[index]; - eTttL = useMatter ? eTtt[index] : 0.0; - eTtxL = useMatter ? eTtx[index] : 0.0; - eTtyL = useMatter ? eTty[index] : 0.0; - eTtzL = useMatter ? eTtz[index] : 0.0; - eTxxL = useMatter ? eTxx[index] : 0.0; - eTxyL = useMatter ? eTxy[index] : 0.0; - eTxzL = useMatter ? eTxz[index] : 0.0; - eTyyL = useMatter ? eTyy[index] : 0.0; - eTyzL = useMatter ? eTyz[index] : 0.0; - eTzzL = useMatter ? eTzz[index] : 0.0; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - trKrhsL = trKrhs[index]; - Xt1L = Xt1[index]; - Xt1rhsL = Xt1rhs[index]; - Xt2L = Xt2[index]; - Xt2rhsL = Xt2rhs[index]; - Xt3L = Xt3[index]; - Xt3rhsL = Xt3rhs[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); - - dir2 = Sign(beta2L); - - dir3 = Sign(beta3L); - - detgt = 1; - - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* - (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + - 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + - gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + - 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + - gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + - 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - - gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + - Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xtn1) + - Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xtn1) + - Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + - 2*gt11L*Gt133*gtu31 + gt13L*Xtn1) + gt12L*Gt212*Xtn2 + gt13L*Gt312*Xtn2 + - Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + - 6*Gt113*gt11L*gtu32 + gt11L*Xtn2) + Gt113*gt11L*Xtn3 + - Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xtn3) + - Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + - 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xtn3) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + - 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + - 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + - Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + - Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + - Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + - gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + - gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + - gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + - gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + - Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + - gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + - gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + - gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + - 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - - Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xtn1 + - (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn1 + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xtn2 + - (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xtn2 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn3 + - (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn3 + - 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + - Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + - Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + - Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + - gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + - gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + - Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + - gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + - 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + - gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + - (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + - Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + - Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + - Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + - gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + - Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + - gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + - Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + - Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + - 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + - gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + - Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + - gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + - gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + - 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + - gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + - Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + - gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + - gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + - 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + - Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + - Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + - gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + - Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + - Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + - gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + - 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + - Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - - Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn1 + - (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xtn1 + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn2 + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xtn3 + - (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xtn3 + - 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + - Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + - Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + - gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + - Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) - *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + - Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + - gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + - Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + - gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + - 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + - gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + - Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + - 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + - gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + - gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + - 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + - 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + - gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + - Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + - 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + - 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + - Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + - Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + - Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + - 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + - Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + - gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + - gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + - 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + - 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + - gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + - Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + - 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + - Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + - gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + - Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + - gt13L*SQR(Gt333))); - - Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + - Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + - gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + - 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + - gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + - 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + - gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + - 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + - gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + - gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + - gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + - 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + - 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xtn1 + - Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + - 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xtn1) + - Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + - 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + - gt23L*Xtn1) + Gt122*gt12L*Xtn2 + Gt222*gt22L*Xtn2 + gt23L*Gt322*Xtn2 + Gt123*gt12L*Xtn3 + Gt223*gt22L*Xtn3 + - gt23L*Gt323*Xtn3 + gt11L*gtu11*SQR(Gt112) + 2* - (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + - Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + - Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + - Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + - Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + - Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + - Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + - gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + - 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + - gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - - Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn1 + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn1 + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn2 + - (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xtn3 + - (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn3 + - 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + - 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + - Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + - Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + - (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + - Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + - Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + - Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + - Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + - gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + - 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + - Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + - 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + - Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + - 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + - gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + - 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + - gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + - Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + - 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + - 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + - 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + - Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + - gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + - Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + - Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + - Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + - gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* - (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + - Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + - Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + - Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + - Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + - 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + - Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + - gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + - Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + - gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + - Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + - Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + - gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + - gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - - Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + - Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + - Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + - 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + - gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - - gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + - 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xtn1 + Gt213*gt23L*Xtn1 + - Gt313*gt33L*Xtn1 + Gt123*gt13L*Xtn2 + Gt223*gt23L*Xtn2 + Gt323*gt33L*Xtn2 + Gt133*gt13L*Xtn3 + Gt333*gt33L*Xtn3 + - Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xtn3) + - gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + - 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + - 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + - Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + - Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + - Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + - Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + - Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + - Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + - Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + - Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + - gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + - Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + - Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + - Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + - Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + - gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + - gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - cdphi1 = fac1*PDstandardNth1phi; - - cdphi2 = fac1*PDstandardNth2phi; - - cdphi3 = fac1*PDstandardNth3phi; - - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - - cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - - cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - - cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - - cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - - cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + - gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + - gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + - gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + - gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + - gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; - - Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; - - Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; - - Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; - - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - em4phi = INV(e4phi); - - g11 = e4phi*gt11L; - - g12 = e4phi*gt12L; - - g13 = e4phi*gt13L; - - g22 = e4phi*gt22L; - - g23 = e4phi*gt23L; - - g33 = e4phi*gt33L; - - gu11 = em4phi*gtu11; - - gu21 = em4phi*gtu21; - - gu31 = em4phi*gtu31; - - gu22 = em4phi*gtu22; - - gu32 = em4phi*gtu32; - - gu33 = em4phi*gtu33; - - G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - - G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - - G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - - G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - - G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - - G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - - G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); - - G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - - G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - - G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - - G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - - G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - - G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - - G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); - - G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - - G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - - G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - - G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); - - R11 = Rphi11 + Rt11; - - R12 = Rphi12 + Rt12; - - R13 = Rphi13 + Rt13; - - R22 = Rphi22 + Rt22; - - R23 = Rphi23 + Rt23; - - R33 = Rphi33 + Rt33; - - T00 = eTttL; - - T01 = eTtxL; - - T02 = eTtyL; - - T03 = eTtzL; - - T11 = eTxxL; - - T12 = eTxyL; - - T13 = eTxzL; - - T22 = eTyyL; - - T23 = eTyzL; - - T33 = eTzzL; - - rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + - 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + - T33*SQR(beta3L)); - - S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); - - S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); - - S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); - - trS = gu11*T11 + gu22*T22 + 2*(gu21*T12 + gu31*T13 + gu32*T23) + gu33*T33; - - phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + - PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* - IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + - alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - - gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + - PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + - PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + - gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + - gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); - - gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + - PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + - gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + - gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); - - gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + - PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + - gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + - PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + - gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + - gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); - - gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + - PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + - 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; - - Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + - gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + - PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + - gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + - 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + - Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + - (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - - 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); - - Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + - PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + - gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + - 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + - Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - - 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); - - Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + - 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + - PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + - gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + - gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - - 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + - 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + - Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - - 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); - - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + - PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* - PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + - (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - - 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + - (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + - 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + - alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + - 0.3333333333333333333333333333333333333333*SQR(trKL)); - - Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + - alphaL*R11; - - Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + - alphaL*R12; - - Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + - alphaL*R13; - - Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + - alphaL*R22; - - Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + - alphaL*R23; - - Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + - alphaL*R33; - - trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; - - At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + - PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T11 + 8.377580409572781969233715688745341024526*g11*trS)); - - At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + - PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + - At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + - At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - - 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T12 + 8.377580409572781969233715688745341024526*g12*trS)); - - At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + - PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + - At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + - At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + - 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T13 + 8.377580409572781969233715688745341024526*g13*trS)); - - At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + - PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + - At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T22 + 8.377580409572781969233715688745341024526*g22*trS)); - - At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + - PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + - At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + - At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + - 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T23 + 8.377580409572781969233715688745341024526*g23*trS)); - - At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + - PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + - 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + - At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + - 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + - alphaL*(-25.13274122871834590770114706623602307358*T33 + 8.377580409572781969233715688745341024526*g33*trS)); - - alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + - PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); - - beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + - PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - - beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + - PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - - beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + - PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - - B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + - (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + - (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; - - B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + - (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + - (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; - - B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + - (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + - (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_RHS); -} - -void ML_BSSN_M_RHS(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_M_RHS_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_RHSRadiativeBoundary.c b/ML_BSSN_M/src/ML_BSSN_M_RHSRadiativeBoundary.c deleted file mode 100644 index 70b6cf1..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_RHSRadiativeBoundary.c +++ /dev/null @@ -1,319 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_RHSRadiativeBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_M_RHSRadiativeBoundary_calc_every != ML_BSSN_M_RHSRadiativeBoundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_RHSRadiativeBoundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; - CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; - CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; - CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; - CCTK_REAL vg = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dir1 = Sign(normal[0]); - - dir2 = Sign(normal[1]); - - dir3 = Sign(normal[2]); - - detgt = 1; - - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - gu11 = em4phi*gtu11; - - gu21 = em4phi*gtu21; - - gu31 = em4phi*gtu31; - - gu22 = em4phi*gtu22; - - gu32 = em4phi*gtu32; - - gu33 = em4phi*gtu33; - - nn1 = normal[0]; - - nn2 = normal[1]; - - nn3 = normal[2]; - - nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - - nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - - nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - - nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - - nlen = pow(nlen2,0.5); - - su1 = nu1*INV(nlen); - - su2 = nu2*INV(nlen); - - su3 = nu3*INV(nlen); - - vg = pow(harmonicF,0.5); - - phirhsL = -((PDonesided1(phi, i, j, k)*su1 + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - - gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; - - gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; - - gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; - - gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; - - gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; - - gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; - - trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - - At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; - - At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; - - At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; - - At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; - - At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; - - At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; - - Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; - - Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; - - Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - - alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + PDonesided2(alpha, i, j, k)*su2 + - PDonesided3(alpha, i, j, k)*su3)*vg); - - ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); - - beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - PDonesided2(beta1, i, j, k)*su2 - - PDonesided3(beta1, i, j, k)*su3; - - beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - PDonesided2(beta2, i, j, k)*su2 - - PDonesided3(beta2, i, j, k)*su3; - - beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - PDonesided2(beta3, i, j, k)*su2 - - PDonesided3(beta3, i, j, k)*su3; - - B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; - - B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; - - B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_RHSRadiativeBoundary); -} - -void ML_BSSN_M_RHSRadiativeBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_M_RHSRadiativeBoundary_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_RHSStaticBoundary.c b/ML_BSSN_M/src/ML_BSSN_M_RHSStaticBoundary.c deleted file mode 100644 index 29ae55f..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_RHSStaticBoundary.c +++ /dev/null @@ -1,219 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_RHSStaticBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_M_RHSStaticBoundary_calc_every != ML_BSSN_M_RHSStaticBoundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_RHSStaticBoundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phirhsL = INITVALUE; - CCTK_REAL trKrhsL = INITVALUE; - CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - phirhsL = 0; - - gt11rhsL = 0; - - gt12rhsL = 0; - - gt13rhsL = 0; - - gt22rhsL = 0; - - gt23rhsL = 0; - - gt33rhsL = 0; - - trKrhsL = 0; - - At11rhsL = 0; - - At12rhsL = 0; - - At13rhsL = 0; - - At22rhsL = 0; - - At23rhsL = 0; - - At33rhsL = 0; - - Xt1rhsL = 0; - - Xt2rhsL = 0; - - Xt3rhsL = 0; - - alpharhsL = 0; - - ArhsL = 0; - - beta1rhsL = 0; - - beta2rhsL = 0; - - beta3rhsL = 0; - - B1rhsL = 0; - - B2rhsL = 0; - - B3rhsL = 0; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_RHSStaticBoundary); -} - -void ML_BSSN_M_RHSStaticBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_M_RHSStaticBoundary_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_boundary.c b/ML_BSSN_M/src/ML_BSSN_M_boundary.c deleted file mode 100644 index d7cb272..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_boundary.c +++ /dev/null @@ -1,219 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_boundary_Body"); - } - - if (cctk_iteration % ML_BSSN_M_boundary_calc_every != ML_BSSN_M_boundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_boundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); - - gt11L = 1; - - gt12L = 0; - - gt13L = 0; - - gt22L = 1; - - gt23L = 0; - - gt33L = 1; - - trKL = 0; - - At11L = 0; - - At12L = 0; - - At13L = 0; - - At22L = 0; - - At23L = 0; - - At33L = 0; - - Xt1L = 0; - - Xt2L = 0; - - Xt3L = 0; - - alphaL = 1; - - AL = 0; - - beta1L = 0; - - beta2L = 0; - - beta3L = 0; - - B1L = 0; - - B2L = 0; - - B3L = 0; - - - /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_boundary); -} - -void ML_BSSN_M_boundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_M_boundary_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_constraints.c b/ML_BSSN_M/src/ML_BSSN_M_constraints.c deleted file mode 100644 index e7aeead..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_constraints.c +++ /dev/null @@ -1,906 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_constraints_Body"); - } - - if (cctk_iteration % ML_BSSN_M_constraints_calc_every != ML_BSSN_M_constraints_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_constraints, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL rho = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; - CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; - CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; - CCTK_REAL trR = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL cAL = INITVALUE; - CCTK_REAL cSL = INITVALUE; - CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; - CCTK_REAL eTttL = INITVALUE; - CCTK_REAL eTtxL = INITVALUE; - CCTK_REAL eTtyL = INITVALUE; - CCTK_REAL eTtzL = INITVALUE; - CCTK_REAL eTxxL = INITVALUE; - CCTK_REAL eTxyL = INITVALUE; - CCTK_REAL eTxzL = INITVALUE; - CCTK_REAL eTyyL = INITVALUE; - CCTK_REAL eTyzL = INITVALUE; - CCTK_REAL eTzzL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - CCTK_REAL PDstandardNth1At11 = INITVALUE; - CCTK_REAL PDstandardNth2At11 = INITVALUE; - CCTK_REAL PDstandardNth3At11 = INITVALUE; - CCTK_REAL PDstandardNth1At12 = INITVALUE; - CCTK_REAL PDstandardNth2At12 = INITVALUE; - CCTK_REAL PDstandardNth3At12 = INITVALUE; - CCTK_REAL PDstandardNth1At13 = INITVALUE; - CCTK_REAL PDstandardNth2At13 = INITVALUE; - CCTK_REAL PDstandardNth3At13 = INITVALUE; - CCTK_REAL PDstandardNth1At22 = INITVALUE; - CCTK_REAL PDstandardNth2At22 = INITVALUE; - CCTK_REAL PDstandardNth3At22 = INITVALUE; - CCTK_REAL PDstandardNth1At23 = INITVALUE; - CCTK_REAL PDstandardNth2At23 = INITVALUE; - CCTK_REAL PDstandardNth3At23 = INITVALUE; - CCTK_REAL PDstandardNth1At33 = INITVALUE; - CCTK_REAL PDstandardNth2At33 = INITVALUE; - CCTK_REAL PDstandardNth3At33 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - eTttL = useMatter ? eTtt[index] : 0.0; - eTtxL = useMatter ? eTtx[index] : 0.0; - eTtyL = useMatter ? eTty[index] : 0.0; - eTtzL = useMatter ? eTtz[index] : 0.0; - eTxxL = useMatter ? eTxx[index] : 0.0; - eTxyL = useMatter ? eTxy[index] : 0.0; - eTxzL = useMatter ? eTxz[index] : 0.0; - eTyyL = useMatter ? eTyy[index] : 0.0; - eTyzL = useMatter ? eTyz[index] : 0.0; - eTzzL = useMatter ? eTzz[index] : 0.0; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); - PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); - PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); - PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - detgt = 1; - - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* - (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + - 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + - gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + - 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + - gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + - 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - - gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + - Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xt1L) + - Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xt1L) + - Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + - 2*gt11L*Gt133*gtu31 + gt13L*Xt1L) + gt12L*Gt212*Xt2L + gt13L*Gt312*Xt2L + - Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + - 6*Gt113*gt11L*gtu32 + gt11L*Xt2L) + Gt113*gt11L*Xt3L + - Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xt3L) + - Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + - 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xt3L) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + - 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + - 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + - Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + - Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + - Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + - gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + - gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + - gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + - gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + - Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + - gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + - gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + - gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + - 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - - Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xt1L + - (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt1L + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xt2L + - (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xt2L + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt3L + - (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt3L + - 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + - Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + - Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + - Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + - gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + - gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + - Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + - gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + - 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + - gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + - (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + - Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + - Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + - Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + - gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + - Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + - gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + - Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + - Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + - 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + - gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + - Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + - gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + - gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + - 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + - gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + - Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + - gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + - gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + - 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + - Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + - Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + - gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + - Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + - Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + - gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + - 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + - Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - - Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt1L + - (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xt1L + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt2L + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt2L + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xt3L + - (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xt3L + - 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + - Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + - Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + - gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + - Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) - *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + - Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + - gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + - Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + - gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + - 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + - gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + - Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + - 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + - gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + - gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + - 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + - 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + - gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + - Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + - 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + - 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + - Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + - Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + - Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + - 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + - Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + - gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + - gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + - 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + - 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + - gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + - Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + - 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + - Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + - gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + - Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + - gt13L*SQR(Gt333))); - - Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + - Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + - gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + - 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + - gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + - 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + - gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + - 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + - gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + - gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + - gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + - 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + - 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xt1L + - Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + - 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xt1L) + - Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + - 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + - gt23L*Xt1L) + Gt122*gt12L*Xt2L + Gt222*gt22L*Xt2L + gt23L*Gt322*Xt2L + Gt123*gt12L*Xt3L + Gt223*gt22L*Xt3L + - gt23L*Gt323*Xt3L + gt11L*gtu11*SQR(Gt112) + 2* - (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + - Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + - Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + - Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + - Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + - Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + - Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + - gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + - 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + - gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - - Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt1L + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt1L + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xt2L + - (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xt2L + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xt3L + - (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt3L + - 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + - 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + - Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + - Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + - (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + - Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + - Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + - Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + - Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + - gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + - 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + - Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + - 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + - Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + - 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + - gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + - 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + - gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + - Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + - 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + - 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + - 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + - Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + - gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + - Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + - Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + - Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + - gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* - (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + - Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + - Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + - Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + - Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + - 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + - Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + - gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + - Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + - gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + - Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + - Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + - gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + - gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - - Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + - Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + - Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + - 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + - gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - - gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + - 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xt1L + Gt213*gt23L*Xt1L + - Gt313*gt33L*Xt1L + Gt123*gt13L*Xt2L + Gt223*gt23L*Xt2L + Gt323*gt33L*Xt2L + Gt133*gt13L*Xt3L + Gt333*gt33L*Xt3L + - Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xt3L) + - gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + - 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + - 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + - Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + - Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + - Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + - Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + - Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + - Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + - Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + - Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + - gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + - Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + - Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + - Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + - Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + - gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + - gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - cdphi1 = fac1*PDstandardNth1phi; - - cdphi2 = fac1*PDstandardNth2phi; - - cdphi3 = fac1*PDstandardNth3phi; - - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - - cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - - cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - - cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - - cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - - cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + - gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + - gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + - gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + - gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + - gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - em4phi = INV(e4phi); - - gu11 = em4phi*gtu11; - - gu21 = em4phi*gtu21; - - gu31 = em4phi*gtu31; - - gu22 = em4phi*gtu22; - - gu32 = em4phi*gtu32; - - gu33 = em4phi*gtu33; - - R11 = Rphi11 + Rt11; - - R12 = Rphi12 + Rt12; - - R13 = Rphi13 + Rt13; - - R22 = Rphi22 + Rt22; - - R23 = Rphi23 + Rt23; - - R33 = Rphi33 + Rt33; - - trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - T00 = eTttL; - - T01 = eTtxL; - - T02 = eTtyL; - - T03 = eTtzL; - - T11 = eTxxL; - - T12 = eTxyL; - - T13 = eTxzL; - - T22 = eTyyL; - - T23 = eTyzL; - - T33 = eTzzL; - - rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + - 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + - T33*SQR(beta3L)); - - S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); - - S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); - - S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); - - HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - 50.26548245743669181540229413247204614715*rho + trR - - 1.*(SQR(Atm11) + SQR(Atm22) + SQR(Atm33)) + 0.6666666666666666666666666666666666666667*SQR(trKL); - - M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + At11L*Gt123*gtu32) + - At12L*((6.*cdphi1 - 1.*Gt111)*gtu21 - 3.*Gt213*gtu31 + 6.*(cdphi2*gtu22 + cdphi3*gtu32) - 1.*Gt233*gtu33) - - 1.*((At22L*Gt212 + At12L*(Gt112 + Gt222) + At23L*Gt312 + At13L*Gt322)*gtu22 + - At13L*(Gt111*gtu31 + Gt112*gtu32 + Gt113*gtu33)) + - At11L*((6.*cdphi1 - 2.*Gt111)*gtu11 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 1.*(Gt122*gtu22 + Gt133*gtu33)) + - gtu11*PDstandardNth1At11 - 0.6666666666666666666666666666666666666667*PDstandardNth1trK + - gtu21*(-1.*(At22L*Gt211 + At23L*Gt311) - 3.*(At11L*Gt112 + At12L*Gt212 + At13L*Gt312) + PDstandardNth1At12 + - PDstandardNth2At11) + gtu22*PDstandardNth2At12 + - gtu31*(-3.*At11L*Gt113 - 1.*(At23L*Gt211 + At33L*Gt311) + At13L*(6.*cdphi1 - 3.*Gt313) + PDstandardNth1At13 + - PDstandardNth3At11) + gtu32*(-2.*At12L*Gt223 - - 1.*(At12L*Gt113 + At22L*Gt213 + At33L*Gt312 + At23L*(Gt212 + Gt313)) + At13L*(6.*cdphi2 - 2.*Gt323) + - PDstandardNth2At13 + PDstandardNth3At12) + - gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - - 25.13274122871834590770114706623602307358*S1; - - M2L = At12L*((6.*cdphi1 - 1.*Gt111)*gtu11 - 2.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - - 1.*Gt133*gtu33) + At22L*((6.*cdphi2 - 2.*Gt222)*gtu22 - 2.*Gt213*gtu31 + 6.*cdphi3*gtu32 - 1.*Gt233*gtu33) + - At23L*(-2.*Gt322*gtu22 - 1.*Gt333*gtu33 + 6.*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33)) - - 1.*((At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312)*gtu11 + - Gt122*(At11L*gtu21 + At13L*gtu32) + (At23L*Gt223 + At33L*Gt323)*gtu33 + At13L*(Gt112*gtu31 + Gt123*gtu33)) + - gtu11*PDstandardNth1At12 + gtu21*(At22L*(6.*cdphi1 - 3.*Gt212) + At12L*(-3.*Gt112 - 1.*Gt222) - 3.*At23L*Gt312 - - 1.*At13L*Gt322 + PDstandardNth1At22 + PDstandardNth2At12) + gtu22*PDstandardNth2At22 - - 0.6666666666666666666666666666666666666667*PDstandardNth2trK + - gtu31*(At12L*(-2.*Gt113 - 1.*Gt223) - 2.*At23L*Gt313 - 1.*(At11L*Gt123 + At23L*Gt212 + At33L*Gt312 + At13L*Gt323) + - PDstandardNth1At23 + PDstandardNth3At12) + - gtu32*(-1.*(At23L*Gt222 + At33L*Gt322) - 3.*(At22L*Gt223 + At23L*Gt323) + PDstandardNth2At23 + - PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - - M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311)*gtu11 + - (At22L*Gt223 + At33L*Gt322 + At23L*Gt323)*gtu22 + At11L*Gt133*gtu31 + - At12L*(Gt113*gtu21 + Gt123*gtu22 + Gt133*gtu32)) + - At13L*((6.*cdphi1 - 1.*(Gt111 + Gt313))*gtu11 - 1.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - - 3.*Gt123*gtu32 - 2.*Gt133*gtu33) + At23L*((6.*cdphi2 - 1.*Gt222)*gtu22 - 3.*Gt213*gtu31 + 6.*cdphi3*gtu32 - - 2.*Gt233*gtu33) + gtu11*PDstandardNth1At13 + - gtu21*(-2.*(At13L*Gt112 + At33L*Gt312) + At23L*(6.*cdphi1 - 2.*Gt212 - 1.*Gt313) - - 1.*(At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At13L*Gt323) + PDstandardNth1At23 + PDstandardNth2At13) + - gtu22*PDstandardNth2At23 + gtu31*(-1.*At12L*Gt233 + At33L*(6.*cdphi1 - 3.*Gt313) + At13L*(-3.*Gt113 - 1.*Gt333) + - PDstandardNth1At33 + PDstandardNth3At13) + - gtu32*(-1.*At22L*Gt233 + At33L*(6.*cdphi2 - 3.*Gt323) + At23L*(-3.*Gt223 - 1.*Gt333) + PDstandardNth2At33 + - PDstandardNth3At23) + gtu33*(At33L*(6.*cdphi3 - 2.*Gt333) + PDstandardNth3At33) - - 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - - cSL = Log(detgt); - - cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; - - cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; - - cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; - - cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; - - - /* Copy local copies back to grid functions */ - cA[index] = cAL; - cS[index] = cSL; - cXt1[index] = cXt1L; - cXt2[index] = cXt2L; - cXt3[index] = cXt3L; - H[index] = HL; - M1[index] = M1L; - M2[index] = M2L; - M3[index] = M3L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_constraints); -} - -void ML_BSSN_M_constraints(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_M_constraints_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_constraints_boundary.c b/ML_BSSN_M/src/ML_BSSN_M_constraints_boundary.c deleted file mode 100644 index fe86c8d..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_constraints_boundary.c +++ /dev/null @@ -1,149 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_constraints_boundary_Body"); - } - - if (cctk_iteration % ML_BSSN_M_constraints_boundary_calc_every != ML_BSSN_M_constraints_boundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_constraints_boundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - HL = 0; - - M1L = 0; - - M2L = 0; - - M3L = 0; - - - /* Copy local copies back to grid functions */ - H[index] = HL; - M1[index] = M1L; - M2[index] = M2L; - M3[index] = M3L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_constraints_boundary); -} - -void ML_BSSN_M_constraints_boundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_M_constraints_boundary_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBase.c b/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBase.c deleted file mode 100644 index 774e2ce..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBase.c +++ /dev/null @@ -1,278 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertFromADMBase_calc_every != ML_BSSN_M_convertFromADMBase_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL detg = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - alpL = alp[index]; - betaxL = betax[index]; - betayL = betay[index]; - betazL = betaz[index]; - gxxL = gxx[index]; - gxyL = gxy[index]; - gxzL = gxz[index]; - gyyL = gyy[index]; - gyzL = gyz[index]; - gzzL = gzz[index]; - kxxL = kxx[index]; - kxyL = kxy[index]; - kxzL = kxz[index]; - kyyL = kyy[index]; - kyzL = kyz[index]; - kzzL = kzz[index]; - phiL = phi[index]; - trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - g11 = gxxL; - - g12 = gxyL; - - g13 = gxzL; - - g22 = gyyL; - - g23 = gyzL; - - g33 = gzzL; - - detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); - - gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - gu21 = (g13*g23 - g12*g33)*INV(detg); - - gu31 = (-(g13*g22) + g12*g23)*INV(detg); - - gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - gu32 = (g12*g13 - g11*g23)*INV(detg); - - gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - gt11L = em4phi*g11; - - gt12L = em4phi*g12; - - gt13L = em4phi*g13; - - gt22L = em4phi*g22; - - gt23L = em4phi*g23; - - gt33L = em4phi*g33; - - K11 = kxxL; - - K12 = kxyL; - - K13 = kxzL; - - K22 = kyyL; - - K23 = kyzL; - - K33 = kzzL; - - trKL = gu11*K11 + gu22*K22 + 2*(gu21*K12 + gu31*K13 + gu32*K23) + gu33*K33; - - At11L = em4phi*(K11 - g11*kthird*trKL); - - At12L = em4phi*(K12 - g12*kthird*trKL); - - At13L = em4phi*(K13 - g13*kthird*trKL); - - At22L = em4phi*(K22 - g22*kthird*trKL); - - At23L = em4phi*(K23 - g23*kthird*trKL); - - At33L = em4phi*(K33 - g33*kthird*trKL); - - alphaL = alpL; - - beta1L = betaxL; - - beta2L = betayL; - - beta3L = betazL; - - etaL = BetaDriver; - - - /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - eta[index] = etaL; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertFromADMBase); -} - -void ML_BSSN_M_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_convertFromADMBase_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBaseGamma.c b/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBaseGamma.c deleted file mode 100644 index 1b93415..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertFromADMBaseGamma.c +++ /dev/null @@ -1,308 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertFromADMBaseGamma_calc_every != ML_BSSN_M_convertFromADMBaseGamma_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertFromADMBaseGamma, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of grid functions */ - alphaL = alpha[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - dtalpL = dtalp[index]; - dtbetaxL = dtbetax[index]; - dtbetayL = dtbetay[index]; - dtbetazL = dtbetaz[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); - - dir2 = Sign(beta2L); - - dir3 = Sign(beta3L); - - detgt = 1; - - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - - Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - - Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - - Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - - B1L = 6*IfThen(ShiftGammaCoeff,dtbetaxL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth1(beta1, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth2(beta1, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth3(beta1, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); - - B2L = 6*IfThen(ShiftGammaCoeff,dtbetayL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth1(beta2, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth2(beta2, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth3(beta2, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); - - B3L = 6*IfThen(ShiftGammaCoeff,dtbetazL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth1(beta3, i, j, k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff), - 0) + IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth2(beta3, i, j, k)*beta2L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth3(beta3, i, j, k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertFromADMBaseGamma); -} - -void ML_BSSN_M_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_M_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBase.c b/ML_BSSN_M/src/ML_BSSN_M_convertToADMBase.c deleted file mode 100644 index 2545992..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBase.c +++ /dev/null @@ -1,252 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertToADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertToADMBase_calc_every != ML_BSSN_M_convertToADMBase_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertToADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - g11 = e4phi*gt11L; - - g12 = e4phi*gt12L; - - g13 = e4phi*gt13L; - - g22 = e4phi*gt22L; - - g23 = e4phi*gt23L; - - g33 = e4phi*gt33L; - - gxxL = g11; - - gxyL = g12; - - gxzL = g13; - - gyyL = g22; - - gyzL = g23; - - gzzL = g33; - - K11 = At11L*e4phi + g11*kthird*trKL; - - K12 = At12L*e4phi + g12*kthird*trKL; - - K13 = At13L*e4phi + g13*kthird*trKL; - - K22 = At22L*e4phi + g22*kthird*trKL; - - K23 = At23L*e4phi + g23*kthird*trKL; - - K33 = At33L*e4phi + g33*kthird*trKL; - - kxxL = K11; - - kxyL = K12; - - kxzL = K13; - - kyyL = K22; - - kyzL = K23; - - kzzL = K33; - - alpL = alphaL; - - betaxL = beta1L; - - betayL = beta2L; - - betazL = beta3L; - - - /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertToADMBase); -} - -void ML_BSSN_M_convertToADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_convertToADMBase_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShift.c b/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShift.c deleted file mode 100644 index cfa17ba..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,177 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_M_convertToADMBaseDtLapseShift_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertToADMBaseDtLapseShift, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); - - dir2 = Sign(beta2L); - - dir3 = Sign(beta3L); - - dtalpL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + - PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + - PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - - dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + - PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - - dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + - PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_M_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_M_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary.c deleted file mode 100644 index 4b4baa4..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary.c +++ /dev/null @@ -1,161 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_every != ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - dtbetaxL = B1L*ShiftGammaCoeff; - - dtbetayL = B2L*ShiftGammaCoeff; - - dtbetazL = B3L*ShiftGammaCoeff; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary); -} - -void ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseFakeDtLapseShift.c deleted file mode 100644 index 801f696..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_convertToADMBaseFakeDtLapseShift.c +++ /dev/null @@ -1,161 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_convertToADMBaseFakeDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_every != ML_BSSN_M_convertToADMBaseFakeDtLapseShift_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_convertToADMBaseFakeDtLapseShift, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - dtbetaxL = B1L*ShiftGammaCoeff; - - dtbetayL = B2L*ShiftGammaCoeff; - - dtbetazL = B3L*ShiftGammaCoeff; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_convertToADMBaseFakeDtLapseShift); -} - -void ML_BSSN_M_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_convertToADMBaseFakeDtLapseShift_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_enforce.c b/ML_BSSN_M/src/ML_BSSN_M_enforce.c deleted file mode 100644 index 1d52880..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_enforce.c +++ /dev/null @@ -1,191 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_enforce_Body"); - } - - if (cctk_iteration % ML_BSSN_M_enforce_calc_every != ML_BSSN_M_enforce_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_enforce, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL trAt = INITVALUE; - - /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - detgt = 1; - - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; - - At11L = At11L - gt11L*kthird*trAt; - - At12L = At12L - gt12L*kthird*trAt; - - At13L = At13L - gt13L*kthird*trAt; - - At22L = At22L - gt22L*kthird*trAt; - - At23L = At23L - gt23L*kthird*trAt; - - At33L = At33L - gt33L*kthird*trAt; - - alphaL = fmax(alphaL,MinimumLapse); - - - /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_enforce); -} - -void ML_BSSN_M_enforce(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_enforce_Body); -} diff --git a/ML_BSSN_M/src/ML_BSSN_M_setBetaDriver.c b/ML_BSSN_M/src/ML_BSSN_M_setBetaDriver.c deleted file mode 100644 index 2f57166..0000000 --- a/ML_BSSN_M/src/ML_BSSN_M_setBetaDriver.c +++ /dev/null @@ -1,142 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_M_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - - - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_M_setBetaDriver_Body"); - } - - if (cctk_iteration % ML_BSSN_M_setBetaDriver_calc_every != ML_BSSN_M_setBetaDriver_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_M_setBetaDriver, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - CCTK_REAL etaL = INITVALUE; - CCTK_REAL rL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - etaL = eta[index]; - rL = r[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - etaL = etaL*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); - - - /* Copy local copies back to grid functions */ - eta[index] = etaL; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_M_setBetaDriver); -} - -void ML_BSSN_M_setBetaDriver(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_M_setBetaDriver_Body); -} diff --git a/ML_BSSN_M/src/RegisterMoL.c b/ML_BSSN_M/src/RegisterMoL.c deleted file mode 100644 index 8cd1553..0000000 --- a/ML_BSSN_M/src/RegisterMoL.c +++ /dev/null @@ -1,41 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" - -void ML_BSSN_M_RegisterVars(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - - /* Register all the evolved grid functions with MoL */ - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At11"), CCTK_VarIndex("ML_BSSN_M::At11rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At12"), CCTK_VarIndex("ML_BSSN_M::At12rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At13"), CCTK_VarIndex("ML_BSSN_M::At13rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At22"), CCTK_VarIndex("ML_BSSN_M::At22rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At23"), CCTK_VarIndex("ML_BSSN_M::At23rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::At33"), CCTK_VarIndex("ML_BSSN_M::At33rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::A"), CCTK_VarIndex("ML_BSSN_M::Arhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::B1"), CCTK_VarIndex("ML_BSSN_M::B1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::B2"), CCTK_VarIndex("ML_BSSN_M::B2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::B3"), CCTK_VarIndex("ML_BSSN_M::B3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::Xt1"), CCTK_VarIndex("ML_BSSN_M::Xt1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::Xt2"), CCTK_VarIndex("ML_BSSN_M::Xt2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::Xt3"), CCTK_VarIndex("ML_BSSN_M::Xt3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::alpha"), CCTK_VarIndex("ML_BSSN_M::alpharhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::phi"), CCTK_VarIndex("ML_BSSN_M::phirhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt11"), CCTK_VarIndex("ML_BSSN_M::gt11rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt12"), CCTK_VarIndex("ML_BSSN_M::gt12rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt13"), CCTK_VarIndex("ML_BSSN_M::gt13rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt22"), CCTK_VarIndex("ML_BSSN_M::gt22rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt23"), CCTK_VarIndex("ML_BSSN_M::gt23rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::gt33"), CCTK_VarIndex("ML_BSSN_M::gt33rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::beta1"), CCTK_VarIndex("ML_BSSN_M::beta1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::beta2"), CCTK_VarIndex("ML_BSSN_M::beta2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::beta3"), CCTK_VarIndex("ML_BSSN_M::beta3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_M::trK"), CCTK_VarIndex("ML_BSSN_M::trKrhs")); - return; -} diff --git a/ML_BSSN_M/src/RegisterSymmetries.c b/ML_BSSN_M/src/RegisterSymmetries.c deleted file mode 100644 index 58565c8..0000000 --- a/ML_BSSN_M/src/RegisterSymmetries.c +++ /dev/null @@ -1,194 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "Symmetry.h" - -void ML_BSSN_M_RegisterSymmetries(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* array holding symmetry definitions */ - CCTK_INT sym[3]; - - - /* Register symmetries of grid functions */ - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At11"); - - sym[0] = -1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At12"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At13"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At22"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At23"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::At33"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::A"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::B1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::B2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::B3"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::Xt1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::Xt2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::Xt3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::alpha"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::phi"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt11"); - - sym[0] = -1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt12"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt13"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt22"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt23"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::gt33"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::beta1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::beta2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::beta3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::trK"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::eta"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::cS"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::cXt1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::cXt2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::cXt3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::cA"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::H"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::M1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::M2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_M::M3"); - -} diff --git a/ML_BSSN_M/src/make.code.defn b/ML_BSSN_M/src/make.code.defn deleted file mode 100644 index 06bf056..0000000 --- a/ML_BSSN_M/src/make.code.defn +++ /dev/null @@ -1,3 +0,0 @@ -# File produced by Kranc - -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_M_Minkowski.c ML_BSSN_M_convertFromADMBase.c ML_BSSN_M_convertFromADMBaseGamma.c ML_BSSN_M_setBetaDriver.c ML_BSSN_M_RHS.c ML_BSSN_M_RHSStaticBoundary.c ML_BSSN_M_RHSRadiativeBoundary.c ML_BSSN_M_enforce.c ML_BSSN_M_boundary.c ML_BSSN_M_convertToADMBase.c ML_BSSN_M_convertToADMBaseDtLapseShift.c ML_BSSN_M_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_M_convertToADMBaseFakeDtLapseShift.c ML_BSSN_M_constraints.c ML_BSSN_M_constraints_boundary.c Boundaries.c diff --git a/ML_BSSN_MP/interface.ccl b/ML_BSSN_MP/interface.ccl index ee13843..d284d84 100644 --- a/ML_BSSN_MP/interface.ccl +++ b/ML_BSSN_MP/interface.ccl @@ -2,7 +2,7 @@ implements: ML_BSSN_MP -inherits: ADMBase Coordinates Grid GenericFD Boundary +inherits: ADMBase TmunuBase Coordinates Grid GenericFD Boundary diff --git a/ML_BSSN_MP/param.ccl b/ML_BSSN_MP/param.ccl index 23ac896..f4beb67 100644 --- a/ML_BSSN_MP/param.ccl +++ b/ML_BSSN_MP/param.ccl @@ -124,7 +124,7 @@ restricted: CCTK_INT useMatter "Add matter terms" { *:* :: "" -} 0 +} 1 private: KEYWORD my_initial_data "my_initial_data" @@ -186,7 +186,7 @@ restricted: CCTK_INT timelevels "Number of active timelevels" { 0:4 :: "" -} 4 +} 3 restricted: CCTK_INT rhs_timelevels "Number of active RHS timelevels" @@ -225,6 +225,18 @@ CCTK_INT ML_BSSN_MP_RHS_calc_every "ML_BSSN_MP_RHS_calc_every" } 1 restricted: +CCTK_INT ML_BSSN_MP_RHS1_calc_every "ML_BSSN_MP_RHS1_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_MP_RHS2_calc_every "ML_BSSN_MP_RHS2_calc_every" +{ + *:* :: "" +} 1 + +restricted: CCTK_INT ML_BSSN_MP_RHSStaticBoundary_calc_every "ML_BSSN_MP_RHSStaticBoundary_calc_every" { *:* :: "" @@ -243,6 +255,12 @@ CCTK_INT ML_BSSN_MP_enforce_calc_every "ML_BSSN_MP_enforce_calc_every" } 1 restricted: +CCTK_INT ML_BSSN_MP_enforce2_calc_every "ML_BSSN_MP_enforce2_calc_every" +{ + *:* :: "" +} 1 + +restricted: CCTK_INT ML_BSSN_MP_boundary_calc_every "ML_BSSN_MP_boundary_calc_every" { *:* :: "" @@ -315,6 +333,18 @@ CCTK_INT ML_BSSN_MP_RHS_calc_offset "ML_BSSN_MP_RHS_calc_offset" } 0 restricted: +CCTK_INT ML_BSSN_MP_RHS1_calc_offset "ML_BSSN_MP_RHS1_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_MP_RHS2_calc_offset "ML_BSSN_MP_RHS2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: CCTK_INT ML_BSSN_MP_RHSStaticBoundary_calc_offset "ML_BSSN_MP_RHSStaticBoundary_calc_offset" { *:* :: "" @@ -333,6 +363,12 @@ CCTK_INT ML_BSSN_MP_enforce_calc_offset "ML_BSSN_MP_enforce_calc_offset" } 0 restricted: +CCTK_INT ML_BSSN_MP_enforce2_calc_offset "ML_BSSN_MP_enforce2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: CCTK_INT ML_BSSN_MP_boundary_calc_offset "ML_BSSN_MP_boundary_calc_offset" { *:* :: "" diff --git a/ML_BSSN_MP/schedule.ccl b/ML_BSSN_MP/schedule.ccl index 737f61f..3b38d75 100644 --- a/ML_BSSN_MP/schedule.ccl +++ b/ML_BSSN_MP/schedule.ccl @@ -376,11 +376,21 @@ if (CCTK_EQUALS(UseSpatialBetaDriver, "yes")) } "ML_BSSN_MP_setBetaDriver" } -schedule ML_BSSN_MP_RHS IN ML_BSSN_MP_evolCalcGroup +schedule ML_BSSN_MP_RHS IN NoSuchGroup { LANG: C } "ML_BSSN_MP_RHS" +schedule ML_BSSN_MP_RHS1 IN ML_BSSN_MP_evolCalcGroup +{ + LANG: C +} "ML_BSSN_MP_RHS1" + +schedule ML_BSSN_MP_RHS2 IN ML_BSSN_MP_evolCalcGroup +{ + LANG: C +} "ML_BSSN_MP_RHS2" + if (CCTK_EQUALS(my_rhs_boundary_condition, "static")) { @@ -399,11 +409,16 @@ if (CCTK_EQUALS(my_rhs_boundary_condition, "radiative")) } "ML_BSSN_MP_RHSRadiativeBoundary" } -schedule ML_BSSN_MP_enforce IN MoL_PostStep BEFORE ML_BSSN_MP_BoundConds +schedule ML_BSSN_MP_enforce IN MoL_PostStep BEFORE ML_BSSN_MP_SelectBoundConds { LANG: C } "ML_BSSN_MP_enforce" +schedule ML_BSSN_MP_enforce2 IN MoL_PostStep AFTER ML_BSSN_MP_enforce BEFORE ML_BSSN_MP_SelectBoundConds +{ + LANG: C +} "ML_BSSN_MP_enforce2" + if (CCTK_EQUALS(my_boundary_condition, "Minkowski")) { diff --git a/ML_BSSN_MP/src/Differencing.h b/ML_BSSN_MP/src/Differencing.h index 414cf95..1cdce99 100644 --- a/ML_BSSN_MP/src/Differencing.h +++ b/ML_BSSN_MP/src/Differencing.h @@ -1,18 +1,18 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 2*dir1),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 3*dir1),(int)(j),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i - dir1),(int)(j),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 2*dir2),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 3*dir2),(int)(k))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j - dir2),(int)(k))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - 10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] - 6*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 2*dir3))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 3*dir3))] - 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k - dir3))] + 18*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir1),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir2),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir3))])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c index 8874902..74efd8b 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,24 +93,24 @@ void ML_BSSN_MP_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -128,57 +126,57 @@ void ML_BSSN_MP_Minkowski_Body(cGH const * const cctkGH, CCTK_INT const dir, CCT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); - gt11L = 1; + CCTK_REAL const gt11L = 1; - gt12L = 0; + CCTK_REAL const gt12L = 0; - gt13L = 0; + CCTK_REAL const gt13L = 0; - gt22L = 1; + CCTK_REAL const gt22L = 1; - gt23L = 0; + CCTK_REAL const gt23L = 0; - gt33L = 1; + CCTK_REAL const gt33L = 1; - trKL = 0; + CCTK_REAL const trKL = 0; - At11L = 0; + CCTK_REAL const At11L = 0; - At12L = 0; + CCTK_REAL const At12L = 0; - At13L = 0; + CCTK_REAL const At13L = 0; - At22L = 0; + CCTK_REAL const At22L = 0; - At23L = 0; + CCTK_REAL const At23L = 0; - At33L = 0; + CCTK_REAL const At33L = 0; - Xt1L = 0; + CCTK_REAL const Xt1L = 0; - Xt2L = 0; + CCTK_REAL const Xt2L = 0; - Xt3L = 0; + CCTK_REAL const Xt3L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - AL = 0; + CCTK_REAL const AL = 0; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; - B1L = 0; + CCTK_REAL const B1L = 0; - B2L = 0; + CCTK_REAL const B2L = 0; - B3L = 0; + CCTK_REAL const B3L = 0; - etaL = BetaDriver; + CCTK_REAL const etaL = BetaDriver; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c index 0142ad7..83e567c 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,491 +93,512 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; - CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL g11 = INITVALUE; - CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; - CCTK_REAL g12 = INITVALUE; - CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; - CCTK_REAL g13 = INITVALUE; - CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; - CCTK_REAL g22 = INITVALUE; - CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; - CCTK_REAL g23 = INITVALUE; - CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; - CCTK_REAL g33 = INITVALUE; - CCTK_REAL G333 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL trAts = INITVALUE; - CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; + // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL g11 = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; + // CCTK_REAL g12 = INITVALUE; + // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; + // CCTK_REAL g13 = INITVALUE; + // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; + // CCTK_REAL g22 = INITVALUE; + // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; + // CCTK_REAL g23 = INITVALUE; + // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; + // CCTK_REAL g33 = INITVALUE; + // CCTK_REAL G333 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trAts = INITVALUE; + // CCTK_REAL trS = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; - CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; - CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; - CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1alpha = INITVALUE; - CCTK_REAL PDstandardNth2alpha = INITVALUE; - CCTK_REAL PDstandardNth3alpha = INITVALUE; - CCTK_REAL PDstandardNth11alpha = INITVALUE; - CCTK_REAL PDstandardNth22alpha = INITVALUE; - CCTK_REAL PDstandardNth33alpha = INITVALUE; - CCTK_REAL PDstandardNth12alpha = INITVALUE; - CCTK_REAL PDstandardNth13alpha = INITVALUE; - CCTK_REAL PDstandardNth23alpha = INITVALUE; - CCTK_REAL PDstandardNth1beta1 = INITVALUE; - CCTK_REAL PDstandardNth2beta1 = INITVALUE; - CCTK_REAL PDstandardNth3beta1 = INITVALUE; - CCTK_REAL PDstandardNth11beta1 = INITVALUE; - CCTK_REAL PDstandardNth22beta1 = INITVALUE; - CCTK_REAL PDstandardNth33beta1 = INITVALUE; - CCTK_REAL PDstandardNth12beta1 = INITVALUE; - CCTK_REAL PDstandardNth13beta1 = INITVALUE; - CCTK_REAL PDstandardNth23beta1 = INITVALUE; - CCTK_REAL PDstandardNth1beta2 = INITVALUE; - CCTK_REAL PDstandardNth2beta2 = INITVALUE; - CCTK_REAL PDstandardNth3beta2 = INITVALUE; - CCTK_REAL PDstandardNth11beta2 = INITVALUE; - CCTK_REAL PDstandardNth22beta2 = INITVALUE; - CCTK_REAL PDstandardNth33beta2 = INITVALUE; - CCTK_REAL PDstandardNth12beta2 = INITVALUE; - CCTK_REAL PDstandardNth13beta2 = INITVALUE; - CCTK_REAL PDstandardNth23beta2 = INITVALUE; - CCTK_REAL PDstandardNth1beta3 = INITVALUE; - CCTK_REAL PDstandardNth2beta3 = INITVALUE; - CCTK_REAL PDstandardNth3beta3 = INITVALUE; - CCTK_REAL PDstandardNth11beta3 = INITVALUE; - CCTK_REAL PDstandardNth22beta3 = INITVALUE; - CCTK_REAL PDstandardNth33beta3 = INITVALUE; - CCTK_REAL PDstandardNth12beta3 = INITVALUE; - CCTK_REAL PDstandardNth13beta3 = INITVALUE; - CCTK_REAL PDstandardNth23beta3 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - dJ111L = dJ111[index]; - dJ112L = dJ112[index]; - dJ113L = dJ113[index]; - dJ122L = dJ122[index]; - dJ123L = dJ123[index]; - dJ133L = dJ133[index]; - dJ211L = dJ211[index]; - dJ212L = dJ212[index]; - dJ213L = dJ213[index]; - dJ222L = dJ222[index]; - dJ223L = dJ223[index]; - dJ233L = dJ233[index]; - dJ311L = dJ311[index]; - dJ312L = dJ312[index]; - dJ313L = dJ313[index]; - dJ322L = dJ322[index]; - dJ323L = dJ323[index]; - dJ333L = dJ333[index]; - etaL = eta[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - J11L = J11[index]; - J12L = J12[index]; - J13L = J13[index]; - J21L = J21[index]; - J22L = J22[index]; - J23L = J23[index]; - J31L = J31[index]; - J32L = J32[index]; - J33L = J33[index]; - phiL = phi[index]; - trKL = trK[index]; - trKrhsL = trKrhs[index]; - Xt1L = Xt1[index]; - Xt1rhsL = Xt1rhs[index]; - Xt2L = Xt2[index]; - Xt2rhsL = Xt2rhs[index]; - Xt3L = Xt3[index]; - Xt3rhsL = Xt3rhs[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const etaL = eta[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13))); - Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13))); - Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13))); - Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) + + CCTK_REAL const Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + 2*Gt223) + 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + 2*(Gt122*Gt213 + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + gt13L*(2*Gt213*Gt322 + Gt313*(4*Gt112 + 2*Gt323)) + @@ -630,7 +649,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + @@ -705,7 +724,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + @@ -780,7 +799,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + + CCTK_REAL const Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt123 + gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) + 2*(Gt113*gt12L*Gt323 + Gt312*(gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)) + @@ -828,7 +847,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + @@ -901,7 +920,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L + Gt213*gt23L)*Gt323) + + CCTK_REAL const Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + 6*Gt313*Gt323)*gt33L + 2* (gt13L*(Gt122*Gt213 + Gt112*Gt223) + Gt213*(Gt223*gt22L + Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + @@ -952,24 +971,24 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + CCTK_REAL const cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + CCTK_REAL const cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + CCTK_REAL const cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + CCTK_REAL const cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* (J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + @@ -979,7 +998,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J32L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - Gt312*J33L)*PDstandardNth3phi); - cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + CCTK_REAL const cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + @@ -989,14 +1008,14 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J33L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - Gt313*J33L)*PDstandardNth3phi); - cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)* + CCTK_REAL const cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)* (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + @@ -1006,146 +1025,178 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J33L*(J22L*PDstandardNth23phi + J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - Gt323*J33L)*PDstandardNth3phi); - cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL const em4phi = INV(e4phi); - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL const g11 = e4phi*gt11L; - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL const g12 = e4phi*gt12L; - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL const g13 = e4phi*gt13L; - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL const g22 = e4phi*gt22L; - Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + CCTK_REAL const g23 = e4phi*gt23L; - Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + CCTK_REAL const g33 = e4phi*gt33L; - Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + CCTK_REAL const gu11 = em4phi*gtu11; - Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + CCTK_REAL const gu21 = em4phi*gtu21; - Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + CCTK_REAL const gu31 = em4phi*gtu31; - Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + CCTK_REAL const gu22 = em4phi*gtu22; - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL const gu32 = em4phi*gtu32; - em4phi = INV(e4phi); + CCTK_REAL const gu33 = em4phi*gtu33; - g11 = e4phi*gt11L; + CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - g12 = e4phi*gt12L; + CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - g13 = e4phi*gt13L; + CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - g22 = e4phi*gt22L; + CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - g23 = e4phi*gt23L; + CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - g33 = e4phi*gt33L; + CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - gu11 = em4phi*gtu11; + CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); - gu21 = em4phi*gtu21; + CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - gu31 = em4phi*gtu31; + CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - gu22 = em4phi*gtu22; + CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - gu32 = em4phi*gtu32; + CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - gu33 = em4phi*gtu33; + CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); - G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); - G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); - G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); - G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); - G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + CCTK_REAL const R11 = Rphi11 + Rt11; - G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const R12 = Rphi12 + Rt12; - G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const R13 = Rphi13 + Rt13; - G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const R22 = Rphi22 + Rt22; - G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + CCTK_REAL const R23 = Rphi23 + Rt23; - G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL const R33 = Rphi33 + Rt33; - G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const T00 = eTttL; - G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + CCTK_REAL const T01 = eTtxL; - G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + CCTK_REAL const T02 = eTtyL; - G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL const T03 = eTtzL; - G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL const T11 = eTxxL; - G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + CCTK_REAL const T12 = eTxyL; - R11 = Rphi11 + Rt11; + CCTK_REAL const T13 = eTxzL; - R12 = Rphi12 + Rt12; + CCTK_REAL const T22 = eTyyL; - R13 = Rphi13 + Rt13; + CCTK_REAL const T23 = eTyzL; - R22 = Rphi22 + Rt22; + CCTK_REAL const T33 = eTzzL; - R23 = Rphi23 + Rt23; + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); - R33 = Rphi33 + Rt33; + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); - phirhsL = PDupwindNth1(phi, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const trS = gu11*T11 + gu22*T22 + 2*(gu21*T12 + gu31*T13 + gu32*T23) + gu33*T33; + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(phi, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(phi, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + @@ -1153,7 +1204,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J33L*PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt11, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt11, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1163,7 +1214,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + gt13L*PDstandardNth2beta3) + J31L*(gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)); - gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt12, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt12, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt12L*J11L + gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1beta2 + @@ -1175,7 +1226,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3); - gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt13, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt13, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J11L + gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1beta2 + @@ -1187,7 +1238,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3); - gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt22, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt22, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1197,7 +1248,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + gt23L*PDstandardNth2beta3) + J32L*(gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)); - gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt23, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt23, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J12L + gt12L*J13L - gt23L*J11L*ktwothird)*PDstandardNth1beta1 + @@ -1207,7 +1258,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT (gt13L*J32L + gt12L*J33L - gt23L*J31L*ktwothird)*PDstandardNth3beta1 + (gt22L*J33L + gt23L*J32L*kthird)*PDstandardNth3beta2 + (gt33L*J32L + gt23L*J33L*kthird)*PDstandardNth3beta3; - gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt33, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt33, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1217,196 +1268,223 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + gt33L*PDstandardNth2beta3) + J33L*(gt13L*PDstandardNth3beta1 + gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)); - Xt1rhsL = kthird*((6*gtu32*J13L*J22L + 7*gtu31*J11L*J23L)*PDstandardNth12beta1 + - (7*gtu31*J11L*J33L + 6*J13L*(gtu32*J32L + gtu33*J33L))*PDstandardNth13beta1 - - 6*((Atu11*J11L + Atu21*J12L + Atu31*J13L)*PDstandardNth1alpha + - (Atu11*J21L + Atu21*J22L + Atu31*J23L)*PDstandardNth2alpha + Atu11*J31L*PDstandardNth3alpha) + - 7*((gtu21*J12L + gtu31*J13L)*J21L*PDstandardNth12beta1 + - J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11beta1 + - gtu21*(J22L*PDstandardNth12beta1 + J32L*PDstandardNth13beta1)) + - J31L*((gtu21*J12L + gtu31*J13L)*PDstandardNth13beta1 + gtu21*J22L*PDstandardNth23beta1) + - gtu21*(dJ112L*PDstandardNth1beta1 + dJ212L*PDstandardNth2beta1 + dJ312L*PDstandardNth3beta1)) + - 6*(gtu22*J32L*(J12L*PDstandardNth13beta1 + J22L*PDstandardNth23beta1) + - J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12beta1 + gtu32*J22L*PDstandardNth22beta1 + - gtu33*J33L*PDstandardNth23beta1) + gtu32* - (dJ123L*PDstandardNth1beta1 + dJ223L*PDstandardNth2beta1 + - J32L*(J23L*PDstandardNth23beta1 + J33L*PDstandardNth33beta1) + dJ323L*PDstandardNth3beta1)) + - alphaL*(36*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + 12*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + - 6*(Atu11*Gt111 + Atu22*Gt122 + Atu33*Gt133) - - 4*((gtu11*J11L + gtu31*J13L)*PDstandardNth1trK + gtu11*(J21L*PDstandardNth2trK + J31L*PDstandardNth3trK))) + - PDstandardNth1beta2*(dJ122L*gtu21 + dJ123L*gtu31 + 2*J12L*Xtn1) + - PDstandardNth1beta3*(dJ123L*gtu21 + dJ133L*gtu31 + 2*J13L*Xtn1) + - PDstandardNth2beta1*(7*dJ213L*gtu31 + 3*dJ233L*gtu33 - J21L*Xtn1) + - PDstandardNth2beta2*(dJ222L*gtu21 + dJ223L*gtu31 + 2*J22L*Xtn1) + - PDstandardNth2beta3*(dJ223L*gtu21 + dJ233L*gtu31 + 2*J23L*Xtn1) + - PDstandardNth3beta1*(7*dJ313L*gtu31 + 3*dJ333L*gtu33 - J31L*Xtn1) + - PDstandardNth3beta2*(dJ322L*gtu21 + dJ323L*gtu31 + 2*J32L*Xtn1) + - PDstandardNth3beta3*(dJ323L*gtu21 + dJ333L*gtu31 + 2*J33L*Xtn1) + - J12L*(gtu11*J11L*PDstandardNth11beta2 + J13L* - (6*gtu32*PDstandardNth11beta1 + gtu31*PDstandardNth11beta2 + gtu21*PDstandardNth11beta3) + - J22L*(6*gtu22*PDstandardNth12beta1 + 2*gtu21*PDstandardNth12beta2) + - J23L*(gtu31*PDstandardNth12beta2 + gtu21*PDstandardNth12beta3) + - J33L*(6*gtu32*PDstandardNth13beta1 + gtu31*PDstandardNth13beta2) + - gtu21*(2*J32L*PDstandardNth13beta2 + J33L*PDstandardNth13beta3 - 4*alphaL*PDstandardNth1trK) - - 3*PDstandardNth1beta1*Xtn2) + J22L*((gtu11*J11L + gtu31*J13L)*PDstandardNth12beta2 + - gtu31*J23L*PDstandardNth22beta2 + J33L*(6*gtu32*PDstandardNth23beta1 + gtu21*PDstandardNth23beta3) + - gtu21*(J13L*PDstandardNth12beta3 + 7*J21L*PDstandardNth22beta1 + J23L*PDstandardNth22beta3 + - 2*J32L*PDstandardNth23beta2 - 4*alphaL*PDstandardNth2trK) - 3*PDstandardNth2beta1*Xtn2) + - J32L*((gtu11*J11L + gtu31*J13L)*PDstandardNth13beta2 + gtu11*J21L*PDstandardNth23beta2 + - gtu31*J33L*PDstandardNth33beta2 - 6*Atu21*PDstandardNth3alpha + - gtu21*(J13L*PDstandardNth13beta3 + J23L*PDstandardNth23beta3 + - 7*(J21L*PDstandardNth23beta1 + J31L*PDstandardNth33beta1) + J33L*PDstandardNth33beta3 - - 4*alphaL*PDstandardNth3trK) - 3*PDstandardNth3beta1*Xtn2) + - PDstandardNth1beta1*(7*dJ113L*gtu31 + 3*dJ133L*gtu33 - J11L*Xtn1 - 3*J13L*Xtn3) + - J23L*((gtu11*J11L + 2*gtu31*J13L)*PDstandardNth12beta3 + - J21L*(7*gtu31*PDstandardNth22beta1 + gtu11*PDstandardNth22beta3) + - gtu31*(7*J31L*PDstandardNth23beta1 + J32L*PDstandardNth23beta2 + 2*J33L*PDstandardNth23beta3 - - 4*alphaL*PDstandardNth2trK) - 3*PDstandardNth2beta1*Xtn3) + - J33L*((gtu11*J11L + 2*gtu31*J13L)*PDstandardNth13beta3 + - gtu11*(J21L*PDstandardNth23beta3 + J31L*PDstandardNth33beta3) - 6*Atu31*PDstandardNth3alpha + - gtu31*(J22L*PDstandardNth23beta2 + 7*(J21L*PDstandardNth23beta1 + J31L*PDstandardNth33beta1) - - 4*alphaL*PDstandardNth3trK) - 3*PDstandardNth3beta1*Xtn3) + - gtu11*(J11L*(J13L*PDstandardNth11beta3 + 8*(J21L*PDstandardNth12beta1 + J31L*PDstandardNth13beta1)) + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*(J12L*PDstandardNth12beta2 + J13L*PDstandardNth12beta3 + J22L*PDstandardNth22beta2) + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*(J12L*PDstandardNth13beta2 + J13L*PDstandardNth13beta3 + 8*J21L*PDstandardNth23beta1 + - J22L*PDstandardNth23beta2 + J23L*PDstandardNth23beta3 + J32L*PDstandardNth33beta2) + - dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + - 4*(dJ111L*PDstandardNth1beta1 + dJ211L*PDstandardNth2beta1 + dJ311L*PDstandardNth3beta1 + - PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L))) + - gtu21*(PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + - gtu31*(PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + - 3*(PDupwindNth1(Xt1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + - PDupwindNth2(Xt1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + - PDupwindNth3(Xt1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - gtu22*(dJ122L*PDstandardNth1beta1 + dJ222L*PDstandardNth2beta1 + dJ322L*PDstandardNth3beta1 + - PDstandardNth11beta1*SQR(J12L) + PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + - gtu33*(PDstandardNth11beta1*SQR(J13L) + PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)))); - - Xt2rhsL = kthird*((7*gtu32*J13L*J22L + 6*gtu31*J11L*J23L)*PDstandardNth12beta2 - - 6*((Atu21*J11L + Atu22*J12L + Atu32*J13L)*PDstandardNth1alpha + - (Atu21*J21L + Atu22*J22L + Atu32*J23L)*PDstandardNth2alpha + (Atu21*J31L + Atu22*J32L)*PDstandardNth3alpha) + - 7*(J32L*((gtu21*J11L + gtu32*J13L)*PDstandardNth13beta2 + (gtu21*J21L + gtu32*J23L)*PDstandardNth23beta2 + - gtu21*J31L*PDstandardNth33beta2) + gtu21* - ((J12L*J21L + J11L*J22L)*PDstandardNth12beta2 + dJ112L*PDstandardNth1beta2 + J21L*J22L*PDstandardNth22beta2 + - J31L*(J12L*PDstandardNth13beta2 + J22L*PDstandardNth23beta2) + dJ212L*PDstandardNth2beta2 + - dJ312L*PDstandardNth3beta2)) + alphaL* - (36*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + 12*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + - 6*(Atu11*Gt211 + Atu22*Gt222 + Atu33*Gt233) - - 4*gtu21*(J11L*PDstandardNth1trK + J21L*PDstandardNth2trK + J31L*PDstandardNth3trK)) + - J11L*((gtu22*J12L + gtu32*J13L)*PDstandardNth11beta1 + gtu22*J32L*PDstandardNth13beta1 + - gtu32*(J23L*PDstandardNth12beta1 + J33L*PDstandardNth13beta1) + - gtu21*(7*J12L*PDstandardNth11beta2 + J13L*PDstandardNth11beta3 + - 2*(J21L*PDstandardNth12beta1 + J31L*PDstandardNth13beta1)) + - 6*gtu11*(J21L*PDstandardNth12beta2 + J31L*PDstandardNth13beta2) - 3*PDstandardNth1beta2*Xtn1) + - J21L*((2*gtu21*J31L + gtu22*J32L)*PDstandardNth23beta1 + 6*gtu11*J31L*PDstandardNth23beta2 - - 3*PDstandardNth2beta2*Xtn1) + PDstandardNth1beta1*(dJ111L*gtu21 + dJ113L*gtu32 + 2*J11L*Xtn2) + - PDstandardNth1beta2*(6*dJ113L*gtu31 + 7*dJ123L*gtu32 + 3*dJ133L*gtu33 - J12L*Xtn2) + - PDstandardNth1beta3*(dJ113L*gtu21 + dJ133L*gtu32 + 2*J13L*Xtn2) + - PDstandardNth2beta1*(dJ211L*gtu21 + dJ213L*gtu32 + 2*J21L*Xtn2) + - PDstandardNth2beta2*(6*dJ213L*gtu31 + 7*dJ223L*gtu32 + 3*dJ233L*gtu33 - J22L*Xtn2) + - PDstandardNth2beta3*(dJ213L*gtu21 + dJ233L*gtu32 + 2*J23L*Xtn2) + - PDstandardNth3beta1*(dJ311L*gtu21 + dJ313L*gtu32 + 2*J31L*Xtn2) + - PDstandardNth3beta2*(6*dJ313L*gtu31 + 7*dJ323L*gtu32 + 3*dJ333L*gtu33 - 3*J31L*Xtn1 - J32L*Xtn2) + - PDstandardNth3beta3*(dJ313L*gtu21 + dJ333L*gtu32 + 2*J33L*Xtn2) + - J13L*((6*gtu31*J11L + 7*gtu32*J12L)*PDstandardNth11beta2 + gtu22*J12L*PDstandardNth11beta3 + - J21L*(gtu32*PDstandardNth12beta1 + 6*gtu31*PDstandardNth12beta2 + gtu21*PDstandardNth12beta3) + - J31L*(gtu32*PDstandardNth13beta1 + 6*gtu31*PDstandardNth13beta2 + gtu21*PDstandardNth13beta3) - - 4*alphaL*gtu32*PDstandardNth1trK - 3*PDstandardNth1beta2*Xtn3) + - J23L*((7*gtu32*J12L + 6*gtu33*J13L)*PDstandardNth12beta2 + - (gtu21*J11L + gtu22*J12L + 2*gtu32*J13L)*PDstandardNth12beta3 + - J21L*(gtu32*PDstandardNth22beta1 + 6*gtu31*PDstandardNth22beta2 + gtu21*PDstandardNth22beta3) + - J31L*(6*gtu31*PDstandardNth23beta2 + gtu21*PDstandardNth23beta3) + - gtu32*(7*J22L*PDstandardNth22beta2 + J31L*PDstandardNth23beta1 - 4*alphaL*PDstandardNth2trK) - - 3*PDstandardNth2beta2*Xtn3) + J33L*((7*gtu32*J12L + 6*(gtu31*J11L + gtu33*J13L))*PDstandardNth13beta2 + - (gtu21*J11L + gtu22*J12L + 2*gtu32*J13L)*PDstandardNth13beta3 + - (7*gtu32*J22L + 6*gtu33*J23L)*PDstandardNth23beta2 + (gtu22*J22L + 2*gtu32*J23L)*PDstandardNth23beta3 + - J21L*(gtu32*PDstandardNth23beta1 + 6*gtu31*PDstandardNth23beta2 + gtu21*PDstandardNth23beta3) + - J31L*(gtu32*PDstandardNth33beta1 + 6*gtu31*PDstandardNth33beta2 + gtu21*PDstandardNth33beta3) - - 6*Atu32*PDstandardNth3alpha + gtu32*(7*J32L*PDstandardNth33beta2 - 4*alphaL*PDstandardNth3trK) - - 3*PDstandardNth3beta2*Xtn3) + gtu21*(PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + - PDstandardNth33beta1*SQR(J31L)) + gtu22* - ((J12L*J21L + J11L*J22L)*PDstandardNth12beta1 + dJ112L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta3 + - J12L*(J31L*PDstandardNth13beta1 + 8*J32L*PDstandardNth13beta2 - 4*alphaL*PDstandardNth1trK) + - dJ212L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta3 + - J22L*(8*J12L*PDstandardNth12beta2 + J13L*PDstandardNth12beta3 + J21L*PDstandardNth22beta1 + - J23L*PDstandardNth22beta3 + J31L*PDstandardNth23beta1 - 4*alphaL*PDstandardNth2trK) + - dJ312L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta3 + - J32L*(J13L*PDstandardNth13beta3 + 8*J22L*PDstandardNth23beta2 + J23L*PDstandardNth23beta3 + - J31L*PDstandardNth33beta1 + J33L*PDstandardNth33beta3 - 4*alphaL*PDstandardNth3trK) + - 4*(dJ122L*PDstandardNth1beta2 + dJ222L*PDstandardNth2beta2 + dJ322L*PDstandardNth3beta2 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L))) + - gtu32*(PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + - 3*(PDupwindNth1(Xt2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + - PDupwindNth2(Xt2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + - PDupwindNth3(Xt2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - gtu11*(dJ111L*PDstandardNth1beta2 + dJ211L*PDstandardNth2beta2 + dJ311L*PDstandardNth3beta2 + - PDstandardNth11beta2*SQR(J11L) + PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + - gtu33*(PDstandardNth11beta2*SQR(J13L) + PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)))); - - Xt3rhsL = kthird*((gtu32*J11L*J22L + gtu33*(J13L*J21L + J11L*J23L))*PDstandardNth12beta1 + - (6*gtu22*J12L*J22L + 7*(J13L*(gtu31*J21L + gtu32*J22L) + gtu31*J11L*J23L))*PDstandardNth12beta3 + - (gtu32*J11L*J32L + gtu33*(J13L*J31L + J11L*J33L))*PDstandardNth13beta1 + - (6*gtu22*J12L*J32L + 7*(J13L*(gtu31*J31L + gtu32*J32L) + gtu31*J11L*J33L))*PDstandardNth13beta3 + - J12L*(J13L*(gtu33*PDstandardNth11beta2 + 7*gtu32*PDstandardNth11beta3) + - J21L*(gtu32*PDstandardNth12beta1 + gtu31*PDstandardNth12beta2) + - J31L*(gtu32*PDstandardNth13beta1 + gtu31*PDstandardNth13beta2) + - gtu33*(J23L*PDstandardNth12beta2 + J33L*PDstandardNth13beta2) + - 6*gtu21*(J11L*PDstandardNth11beta3 + J21L*PDstandardNth12beta3 + J31L*PDstandardNth13beta3) - - 4*alphaL*gtu32*PDstandardNth1trK) - 6*((Atu31*J11L + Atu32*J12L + Atu33*J13L)*PDstandardNth1alpha + - (Atu31*J21L + Atu32*J22L + Atu33*J23L)*PDstandardNth2alpha + Atu31*J31L*PDstandardNth3alpha) + - 6*((gtu11*J21L*J31L + gtu22*J22L*J32L)*PDstandardNth23beta3 + - gtu21*(dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta3)) + - alphaL*(36*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + 12*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + - 6*(Atu11*Gt311 + Atu22*Gt322 + Atu33*Gt333) - - 4*((gtu31*J11L + gtu33*J13L)*PDstandardNth1trK + gtu31*(J21L*PDstandardNth2trK + J31L*PDstandardNth3trK))) + - PDstandardNth2beta3*(3*dJ222L*gtu22 + 7*dJ223L*gtu32 + 4*dJ233L*gtu33 - 3*J21L*Xtn1) + - PDstandardNth3beta3*(3*dJ322L*gtu22 + 7*dJ323L*gtu32 + 4*dJ333L*gtu33 - 3*J31L*Xtn1) + - J11L*((gtu32*J12L + gtu33*J13L)*PDstandardNth11beta1 + - gtu31*(J12L*PDstandardNth11beta2 + 7*J13L*PDstandardNth11beta3 + J22L*PDstandardNth12beta2 + - 2*(J21L*PDstandardNth12beta1 + J31L*PDstandardNth13beta1) + J32L*PDstandardNth13beta2) + - 6*gtu11*(J21L*PDstandardNth12beta3 + J31L*PDstandardNth13beta3) - 3*PDstandardNth1beta3*Xtn1) + - J22L*((2*gtu32*J12L + gtu33*J13L)*PDstandardNth12beta2 + - J21L*(gtu32*PDstandardNth22beta1 + gtu31*PDstandardNth22beta2) + - 6*gtu21*(J11L*PDstandardNth12beta3 + J21L*PDstandardNth22beta3 + J31L*PDstandardNth23beta3) + - gtu32*(7*J23L*PDstandardNth22beta3 + J31L*PDstandardNth23beta1 + 2*J32L*PDstandardNth23beta2 - - 4*alphaL*PDstandardNth2trK) - 3*PDstandardNth2beta3*Xtn2) + - J32L*((2*gtu32*J12L + gtu33*J13L)*PDstandardNth13beta2 + - J21L*(gtu32*PDstandardNth23beta1 + gtu31*PDstandardNth23beta2) + - 6*gtu21*(J11L*PDstandardNth13beta3 + J21L*PDstandardNth23beta3) + gtu33*J33L*PDstandardNth33beta2 - - 6*Atu32*PDstandardNth3alpha + gtu32*(J31L*PDstandardNth33beta1 + 7*J33L*PDstandardNth33beta3 - - 4*alphaL*PDstandardNth3trK) - 3*PDstandardNth3beta3*Xtn2) + - PDstandardNth1beta1*(dJ111L*gtu31 + dJ112L*gtu32 + dJ113L*gtu33 + 2*J11L*Xtn3) + - PDstandardNth1beta2*(dJ112L*gtu31 + dJ122L*gtu32 + dJ123L*gtu33 + 2*J12L*Xtn3) + - PDstandardNth1beta3*(6*dJ112L*gtu21 + 3*dJ122L*gtu22 + 7*(dJ113L*gtu31 + dJ123L*gtu32) + 4*dJ133L*gtu33 - - 3*J12L*Xtn2 - J13L*Xtn3) + PDstandardNth2beta1*(dJ212L*gtu32 + dJ213L*gtu33 + 2*J21L*Xtn3) + - PDstandardNth2beta2*(dJ222L*gtu32 + dJ223L*gtu33 + 2*J22L*Xtn3) + - PDstandardNth3beta1*(dJ312L*gtu32 + dJ313L*gtu33 + 2*J31L*Xtn3) + - PDstandardNth3beta2*(dJ322L*gtu32 + dJ323L*gtu33 + 2*J32L*Xtn3) + - J23L*((7*gtu32*J12L + 8*gtu33*J13L)*PDstandardNth12beta3 + - 7*(gtu31*J21L*PDstandardNth22beta3 + gtu32*J32L*PDstandardNth23beta3) + - gtu33*(J21L*PDstandardNth22beta1 + J22L*PDstandardNth22beta2 + J31L*PDstandardNth23beta1 + - J32L*PDstandardNth23beta2 - 4*alphaL*PDstandardNth2trK) - PDstandardNth2beta3*Xtn3) + - J33L*((7*gtu32*J12L + 8*gtu33*J13L)*PDstandardNth13beta3 + - 7*((gtu31*J21L + gtu32*J22L)*PDstandardNth23beta3 + gtu31*J31L*PDstandardNth33beta3) - - 6*Atu33*PDstandardNth3alpha + gtu33*(J21L*PDstandardNth23beta1 + J22L*PDstandardNth23beta2 + - 8*J23L*PDstandardNth23beta3 + J31L*PDstandardNth33beta1 - 4*alphaL*PDstandardNth3trK) - - PDstandardNth3beta3*Xtn3) + gtu31*(dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + - J31L*(2*J21L*PDstandardNth23beta1 + J22L*PDstandardNth23beta2 + 7*J23L*PDstandardNth23beta3 + - J32L*PDstandardNth33beta2) + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - 7*(dJ213L*PDstandardNth2beta3 + dJ313L*PDstandardNth3beta3) + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu32*(PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + - 3*(PDupwindNth1(Xt3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + - PDupwindNth2(Xt3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + - PDupwindNth3(Xt3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - gtu11*(dJ111L*PDstandardNth1beta3 + dJ211L*PDstandardNth2beta3 + dJ311L*PDstandardNth3beta3 + - PDstandardNth11beta3*SQR(J11L) + PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + - gtu22*(PDstandardNth11beta3*SQR(J12L) + PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L))) + - 4*gtu33*(PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - trKrhsL = PDupwindNth1(trK, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const Xt1rhsL = PDupwindNth1(Xt1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu11*J11L + Atu21*J12L + Atu31*J13L)*PDstandardNth1alpha + + (Atu11*J21L + Atu21*J22L + Atu31*J23L)*PDstandardNth2alpha + + (Atu11*J31L + Atu21*J32L + Atu31*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + dJ112L*PDstandardNth1beta1 + + J21L*J22L*PDstandardNth22beta1 + J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + + dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + dJ312L*PDstandardNth3beta1) + + gtu31*(J11L*J13L*PDstandardNth11beta1 + J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + dJ113L*PDstandardNth1beta1 + + J21L*J23L*PDstandardNth22beta1 + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + dJ313L*PDstandardNth3beta1) + + gtu32*(J12L*J13L*PDstandardNth11beta1 + J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + + J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + dJ123L*PDstandardNth1beta1 + + J22L*J23L*PDstandardNth22beta1 + J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + + dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + dJ323L*PDstandardNth3beta1) + + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + 2*Atu21*Gt112 + 2*Atu31*Gt113 + + Atu22*Gt122 + 2*Atu32*Gt123 + Atu33*Gt133 - + ktwothird*((gtu11*J11L + gtu21*J12L + gtu31*J13L)*PDstandardNth1trK + + (gtu11*J21L + gtu21*J22L + gtu31*J23L)*PDstandardNth2trK + + (gtu11*J31L + gtu21*J32L + gtu31*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - + PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta1 + 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + + 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + dJ311L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta1 + 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + + 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + dJ322L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J12L) + PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta1 + 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + + 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + dJ333L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J13L) + PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + + kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu31*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const Xt2rhsL = PDupwindNth1(Xt2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu21*J11L + Atu22*J12L + Atu32*J13L)*PDstandardNth1alpha + + (Atu21*J21L + Atu22*J22L + Atu32*J23L)*PDstandardNth2alpha + + (Atu21*J31L + Atu22*J32L + Atu32*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta2 + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + dJ112L*PDstandardNth1beta2 + + J21L*J22L*PDstandardNth22beta2 + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + + dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + dJ312L*PDstandardNth3beta2) + + gtu31*(J11L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + + J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + dJ113L*PDstandardNth1beta2 + + J21L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + + dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + dJ313L*PDstandardNth3beta2) + + gtu32*(J12L*J13L*PDstandardNth11beta2 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + dJ123L*PDstandardNth1beta2 + + J22L*J23L*PDstandardNth22beta2 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + dJ323L*PDstandardNth3beta2) + + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + 2*Atu21*Gt212 + 2*Atu31*Gt213 + + Atu22*Gt222 + 2*Atu32*Gt223 + Atu33*Gt233 - + ktwothird*((gtu21*J11L + gtu22*J12L + gtu32*J13L)*PDstandardNth1trK + + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*PDstandardNth2trK + + (gtu21*J31L + gtu22*J32L + gtu32*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - + PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta2 + 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + + 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + dJ311L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J11L) + PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta2 + 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + + 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + dJ322L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta2 + 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + + 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + dJ333L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J13L) + PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + + kthird*(gtu21*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu32*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const Xt3rhsL = PDupwindNth1(Xt3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu31*J11L + Atu32*J12L + Atu33*J13L)*PDstandardNth1alpha + + (Atu31*J21L + Atu32*J22L + Atu33*J23L)*PDstandardNth2alpha + + (Atu31*J31L + Atu32*J32L + Atu33*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + + J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + dJ112L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta3) + + gtu31*(J11L*J13L*PDstandardNth11beta3 + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta3 + J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + + dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + dJ313L*PDstandardNth3beta3) + + gtu32*(J12L*J13L*PDstandardNth11beta3 + J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + dJ123L*PDstandardNth1beta3 + + J22L*J23L*PDstandardNth22beta3 + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + dJ323L*PDstandardNth3beta3) + + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + 2*Atu21*Gt312 + 2*Atu31*Gt313 + + Atu22*Gt322 + 2*Atu32*Gt323 + Atu33*Gt333 - + ktwothird*((gtu31*J11L + gtu32*J12L + gtu33*J13L)*PDstandardNth1trK + + (gtu31*J21L + gtu32*J22L + gtu33*J23L)*PDstandardNth2trK + + (gtu31*J31L + gtu32*J32L + gtu33*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - + PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + + 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + dJ311L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J11L) + PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta3 + 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + + 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + dJ322L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J12L) + PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta3 + 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + + kthird*(gtu31*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu32*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu33*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(trK, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(trK, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (-(dJ111L*gu11) - 2*dJ112L*gu21 - dJ122L*gu22 - 2*dJ113L*gu31 - 2*dJ123L*gu32 - dJ133L*gu33 + G111*gu11*J11L + @@ -1443,18 +1521,19 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT gu33*J23L*J33L*PDstandardNth23alpha + gu21*J31L*J32L*PDstandardNth33alpha + gu31*J31L*J33L*PDstandardNth33alpha + gu32*J32L*J33L*PDstandardNth33alpha + dJ312L*gu21*PDstandardNth3alpha) + 2*(alphaL*Atm12*Atm21 + alphaL*Atm13*Atm31 + alphaL*Atm23*Atm32 + G112*gu21*J31L*PDstandardNth3alpha) + + 12.56637061435917295385057353311801153679*alphaL*rho + 12.56637061435917295385057353311801153679*alphaL*trS + alphaL*SQR(Atm11) + alphaL*SQR(Atm22) + alphaL*SQR(Atm33) - gu11*PDstandardNth11alpha*SQR(J11L) - gu22*PDstandardNth11alpha*SQR(J12L) - gu33*PDstandardNth11alpha*SQR(J13L) - gu11*PDstandardNth22alpha*SQR(J21L) - gu22*PDstandardNth22alpha*SQR(J22L) - gu33*PDstandardNth22alpha*SQR(J23L) - gu11*PDstandardNth33alpha*SQR(J31L) - gu22*PDstandardNth33alpha*SQR(J32L) - gu33*PDstandardNth33alpha*SQR(J33L) + alphaL*kthird*SQR(trKL); - Ats11 = (-dJ111L + G111*J11L + G211*J12L + G311*J13L)*PDstandardNth1alpha - + CCTK_REAL const Ats11 = (-dJ111L + G111*J11L + G211*J12L + G311*J13L)*PDstandardNth1alpha - 2*(J11L*J21L*PDstandardNth12alpha + J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + (-dJ211L + G111*J21L + G211*J22L + G311*J23L)*PDstandardNth2alpha + (-dJ311L + G111*J31L + G211*J32L + G311*J33L)*PDstandardNth3alpha + alphaL*R11 - PDstandardNth11alpha*SQR(J11L) - PDstandardNth22alpha*SQR(J21L) - PDstandardNth33alpha*SQR(J31L); - Ats12 = -(J11L*J12L*PDstandardNth11alpha) - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - + CCTK_REAL const Ats12 = -(J11L*J12L*PDstandardNth11alpha) - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + (-dJ112L + G112*J11L + G212*J12L + G312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + @@ -1462,7 +1541,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT dJ312L*PDstandardNth3alpha + G112*J31L*PDstandardNth3alpha + G212*J32L*PDstandardNth3alpha + G312*J33L*PDstandardNth3alpha + alphaL*R12; - Ats13 = -(J11L*J13L*PDstandardNth11alpha) - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - + CCTK_REAL const Ats13 = -(J11L*J13L*PDstandardNth11alpha) - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + (-dJ113L + G113*J11L + G213*J12L + G313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + @@ -1470,13 +1549,13 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT dJ313L*PDstandardNth3alpha + G113*J31L*PDstandardNth3alpha + G213*J32L*PDstandardNth3alpha + G313*J33L*PDstandardNth3alpha + alphaL*R13; - Ats22 = (-dJ122L + G122*J11L + G222*J12L + G322*J13L)*PDstandardNth1alpha - + CCTK_REAL const Ats22 = (-dJ122L + G122*J11L + G222*J12L + G322*J13L)*PDstandardNth1alpha - 2*(J12L*J22L*PDstandardNth12alpha + J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + (-dJ222L + G122*J21L + G222*J22L + G322*J23L)*PDstandardNth2alpha + (-dJ322L + G122*J31L + G222*J32L + G322*J33L)*PDstandardNth3alpha + alphaL*R22 - PDstandardNth11alpha*SQR(J12L) - PDstandardNth22alpha*SQR(J22L) - PDstandardNth33alpha*SQR(J32L); - Ats23 = -(J12L*J13L*PDstandardNth11alpha) - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - + CCTK_REAL const Ats23 = -(J12L*J13L*PDstandardNth11alpha) - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + (-dJ123L + G123*J11L + G223*J12L + G323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + @@ -1484,15 +1563,15 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT dJ323L*PDstandardNth3alpha + G123*J31L*PDstandardNth3alpha + G223*J32L*PDstandardNth3alpha + G323*J33L*PDstandardNth3alpha + alphaL*R23; - Ats33 = (-dJ133L + G133*J11L + G233*J12L + G333*J13L)*PDstandardNth1alpha - + CCTK_REAL const Ats33 = (-dJ133L + G133*J11L + G233*J12L + G333*J13L)*PDstandardNth1alpha - 2*(J13L*J23L*PDstandardNth12alpha + J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + (-dJ233L + G133*J21L + G233*J22L + G333*J23L)*PDstandardNth2alpha + (-dJ333L + G133*J31L + G233*J32L + G333*J33L)*PDstandardNth3alpha + alphaL*R33 - PDstandardNth11alpha*SQR(J13L) - PDstandardNth22alpha*SQR(J23L) - PDstandardNth33alpha*SQR(J33L); - trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; - At11rhsL = PDupwindNth1(At11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const At11rhsL = PDupwindNth1(At11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At11, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At11, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1501,35 +1580,42 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*(J11L*(At11L*PDstandardNth1beta1 + At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + At13L*PDstandardNth2beta3) + J31L*(At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + - em4phi*(Ats11 - g11*kthird*trAts) + alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL); + alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + + em4phi*(Ats11 - g11*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T11 - g11*kthird*trS)); - At12rhsL = PDupwindNth1(At12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const At12rhsL = PDupwindNth1(At12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At12, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At12, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (At12L*J11L + At11L*J12L)*PDstandardNth1beta1 + (At22L*J11L + At12L*J12L)*PDstandardNth1beta2 + - (At23L*J11L + At13L*J12L)*PDstandardNth1beta3 + (At12L*J21L + At11L*J22L)*PDstandardNth2beta1 + - (At22L*J21L + At12L*J22L)*PDstandardNth2beta2 + (At23L*J21L + At13L*J22L)*PDstandardNth2beta3 + - (At12L*J31L + At11L*J32L)*PDstandardNth3beta1 + (At22L*J31L + At12L*J32L)*PDstandardNth3beta2 + - (At23L*J31L + At13L*J32L)*PDstandardNth3beta3 - - At12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + em4phi*(Ats12 - g12*kthird*trAts) + - alphaL*(-2*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + At12L*trKL); - - At13rhsL = PDupwindNth1(At13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + (0.3333333333333333333333333333333333333333*At12L*J11L + At11L*J12L)*PDstandardNth1beta1 + + (At22L*J11L + 0.3333333333333333333333333333333333333333*At12L*J12L)*PDstandardNth1beta2 + + (At23L*J11L + At13L*J12L - 0.6666666666666666666666666666666666666667*At12L*J13L)*PDstandardNth1beta3 + + (0.3333333333333333333333333333333333333333*At12L*J21L + At11L*J22L)*PDstandardNth2beta1 + + (At22L*J21L + 0.3333333333333333333333333333333333333333*At12L*J22L)*PDstandardNth2beta2 + + (At23L*J21L + At13L*J22L - 0.6666666666666666666666666666666666666667*At12L*J23L)*PDstandardNth2beta3 + + (0.3333333333333333333333333333333333333333*At12L*J31L + At11L*J32L)*PDstandardNth3beta1 + + (At22L*J31L + 0.3333333333333333333333333333333333333333*At12L*J32L)*PDstandardNth3beta2 + + (At23L*J31L + At13L*J32L - 0.6666666666666666666666666666666666666667*At12L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + At12L*trKL) + + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T12 + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL const At13rhsL = PDupwindNth1(At13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At13, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At13, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (At13L*J11L + At11L*J13L)*PDstandardNth1beta1 + (At23L*J11L + At12L*J13L)*PDstandardNth1beta2 + - (At33L*J11L + At13L*J13L)*PDstandardNth1beta3 + (At13L*J21L + At11L*J23L)*PDstandardNth2beta1 + - (At23L*J21L + At12L*J23L)*PDstandardNth2beta2 + (At33L*J21L + At13L*J23L)*PDstandardNth2beta3 + - (At13L*J31L + At11L*J33L)*PDstandardNth3beta1 + (At23L*J31L + At12L*J33L)*PDstandardNth3beta2 + - (At33L*J31L + At13L*J33L)*PDstandardNth3beta3 - - At13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + em4phi*(Ats13 - g13*kthird*trAts) + - alphaL*(-2*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + At13L*trKL); - - At22rhsL = PDupwindNth1(At22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + (0.3333333333333333333333333333333333333333*At13L*J11L + At11L*J13L)*PDstandardNth1beta1 + + (At23L*J11L - 0.6666666666666666666666666666666666666667*At13L*J12L + At12L*J13L)*PDstandardNth1beta2 + + (At33L*J11L + 0.3333333333333333333333333333333333333333*At13L*J13L)*PDstandardNth1beta3 + + (0.3333333333333333333333333333333333333333*At13L*J21L + At11L*J23L)*PDstandardNth2beta1 + + (At23L*J21L - 0.6666666666666666666666666666666666666667*At13L*J22L + At12L*J23L)*PDstandardNth2beta2 + + (At33L*J21L + 0.3333333333333333333333333333333333333333*At13L*J23L)*PDstandardNth2beta3 + + (0.3333333333333333333333333333333333333333*At13L*J31L + At11L*J33L)*PDstandardNth3beta1 + + (At23L*J31L - 0.6666666666666666666666666666666666666667*At13L*J32L + At12L*J33L)*PDstandardNth3beta2 + + (At33L*J31L + 0.3333333333333333333333333333333333333333*At13L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + At13L*trKL) + + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T13 + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL const At22rhsL = PDupwindNth1(At22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At22, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At22, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1538,22 +1624,26 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*(J12L*(At12L*PDstandardNth1beta1 + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + At23L*PDstandardNth2beta3) + J32L*(At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + - em4phi*(Ats22 - g22*kthird*trAts) + alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL); + alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + + em4phi*(Ats22 - g22*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T22 - g22*kthird*trS)); - At23rhsL = PDupwindNth1(At23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const At23rhsL = PDupwindNth1(At23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At23, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At23, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (At13L*J12L + At12L*J13L)*PDstandardNth1beta1 + (At23L*J12L + At22L*J13L)*PDstandardNth1beta2 + - (At33L*J12L + At23L*J13L)*PDstandardNth1beta3 + (At13L*J22L + At12L*J23L)*PDstandardNth2beta1 + - (At23L*J22L + At22L*J23L)*PDstandardNth2beta2 + (At33L*J22L + At23L*J23L)*PDstandardNth2beta3 + - (At13L*J32L + At12L*J33L)*PDstandardNth3beta1 + (At23L*J32L + At22L*J33L)*PDstandardNth3beta2 + - (At33L*J32L + At23L*J33L)*PDstandardNth3beta3 - - At23L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + em4phi*(Ats23 - g23*kthird*trAts) + - alphaL*(-2*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + At23L*trKL); - - At33rhsL = PDupwindNth1(At33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + (-0.6666666666666666666666666666666666666667*At23L*J11L + At13L*J12L + At12L*J13L)*PDstandardNth1beta1 + + (0.3333333333333333333333333333333333333333*At23L*J12L + At22L*J13L)*PDstandardNth1beta2 + + (At33L*J12L + 0.3333333333333333333333333333333333333333*At23L*J13L)*PDstandardNth1beta3 + + (-0.6666666666666666666666666666666666666667*At23L*J21L + At13L*J22L + At12L*J23L)*PDstandardNth2beta1 + + (0.3333333333333333333333333333333333333333*At23L*J22L + At22L*J23L)*PDstandardNth2beta2 + + (At33L*J22L + 0.3333333333333333333333333333333333333333*At23L*J23L)*PDstandardNth2beta3 + + (-0.6666666666666666666666666666666666666667*At23L*J31L + At13L*J32L + At12L*J33L)*PDstandardNth3beta1 + + (0.3333333333333333333333333333333333333333*At23L*J32L + At22L*J33L)*PDstandardNth3beta2 + + (At33L*J32L + 0.3333333333333333333333333333333333333333*At23L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + At23L*trKL) + + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T23 + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL const At33rhsL = PDupwindNth1(At33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(At33, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At33, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + @@ -1562,31 +1652,32 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT 2*(J13L*(At13L*PDstandardNth1beta1 + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + At33L*PDstandardNth2beta3) + J33L*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + - em4phi*(Ats33 - g33*kthird*trAts) + alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL); + alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + + em4phi*(Ats33 - g33*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T33 - g33*kthird*trS)); - alpharhsL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(alpha, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(alpha, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*LapseAdvectionCoeff + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); - beta1rhsL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - beta2rhsL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - beta3rhsL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - B1rhsL = -(B1L*etaL) + (beta1L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J11L + + CCTK_REAL const B1rhsL = -(B1L*etaL) + (beta1L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J11L + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*J21L + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*J31L) + beta2L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J12L + @@ -1596,7 +1687,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*J23L + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt1rhsL; - B2rhsL = -(B2L*etaL) + (beta1L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J11L + + CCTK_REAL const B2rhsL = -(B2L*etaL) + (beta1L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J11L + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*J21L + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*J31L) + beta2L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J12L + @@ -1606,7 +1697,7 @@ void ML_BSSN_MP_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*J23L + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt2rhsL; - B3rhsL = -(B3L*etaL) + (beta1L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J11L + + CCTK_REAL const B3rhsL = -(B3L*etaL) + (beta1L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J11L + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*J21L + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*J31L) + beta2L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J12L + diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c new file mode 100644 index 0000000..6895e5c --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c @@ -0,0 +1,883 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_MP_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_RHS1_calc_every != ML_BSSN_MP_RHS1_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_MP_RHS1, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL fac1 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE, T13 = INITVALUE; + // CCTK_REAL T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const etaL = eta[index]; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(beta1L); + + int const dir2 = Sign(beta2L); + + int const dir3 = Sign(beta3L); + + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + + (gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 + + (gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 + + 2*(J11L*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) + + J21L*(gtu21*PDstandardNth2gt12 + gtu31*PDstandardNth2gt13) + + J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13))); + + CCTK_REAL const Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + + (gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 + + (gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 + + 2*(J11L*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) + + J21L*(gtu22*PDstandardNth2gt12 + gtu32*PDstandardNth2gt13) + + J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13))); + + CCTK_REAL const Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + + (gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 + + (gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 + + 2*(J11L*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) + + J21L*(gtu32*PDstandardNth2gt12 + gtu33*PDstandardNth2gt13) + + J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13))); + + CCTK_REAL const Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + + gtu31*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23)); + + CCTK_REAL const Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + + gtu32*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23)); + + CCTK_REAL const Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + + gtu33*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23)); + + CCTK_REAL const Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL const Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL const Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + + gtu21*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - + 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + + gtu22*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - + 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + + gtu32*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - + 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL const Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL const Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL const Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL const Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + + gtu21*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + + gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL const Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + + gtu22*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + + gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL const Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + + gtu32*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + + gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL const cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL const cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL const cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); + + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); + + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(phi, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(phi, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt11, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt11, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J11L*(gt11L*PDstandardNth1beta1 + gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + + J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + gt13L*PDstandardNth2beta3) + + J31L*(gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)); + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt12, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt12, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (gt12L*J11L + gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1beta2 + + (gt23L*J11L + gt13L*J12L)*PDstandardNth1beta3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2beta1 + + (gt22L*J21L + gt12L*J22L)*PDstandardNth2beta2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2beta3 + + (gt12L*J31L + gt11L*J32L)*PDstandardNth3beta1 + (gt22L*J31L + gt12L*J32L)*PDstandardNth3beta2 + + (gt23L*J31L + gt13L*J32L)*PDstandardNth3beta3 - + gt12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3); + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt13, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt13, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (gt13L*J11L + gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1beta2 + + (gt33L*J11L + gt13L*J13L)*PDstandardNth1beta3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2beta1 + + (gt23L*J21L + gt12L*J23L)*PDstandardNth2beta2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2beta3 + + (gt13L*J31L + gt11L*J33L)*PDstandardNth3beta1 + (gt23L*J31L + gt12L*J33L)*PDstandardNth3beta2 + + (gt33L*J31L + gt13L*J33L)*PDstandardNth3beta3 - + gt13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3); + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt22, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt22, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J12L*(gt12L*PDstandardNth1beta1 + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3) + + J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + gt23L*PDstandardNth2beta3) + + J32L*(gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)); + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt23, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt23, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (gt13L*J12L + gt12L*J13L - gt23L*J11L*ktwothird)*PDstandardNth1beta1 + + (gt22L*J13L + gt23L*J12L*kthird)*PDstandardNth1beta2 + (gt33L*J12L + gt23L*J13L*kthird)*PDstandardNth1beta3 + + (gt13L*J22L + gt12L*J23L - gt23L*J21L*ktwothird)*PDstandardNth2beta1 + + (gt22L*J23L + gt23L*J22L*kthird)*PDstandardNth2beta2 + (gt33L*J22L + gt23L*J23L*kthird)*PDstandardNth2beta3 + + (gt13L*J32L + gt12L*J33L - gt23L*J31L*ktwothird)*PDstandardNth3beta1 + + (gt22L*J33L + gt23L*J32L*kthird)*PDstandardNth3beta2 + (gt33L*J32L + gt23L*J33L*kthird)*PDstandardNth3beta3; + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(gt33, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(gt33, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J13L*(gt13L*PDstandardNth1beta1 + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3) + + J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + gt33L*PDstandardNth2beta3) + + J33L*(gt13L*PDstandardNth3beta1 + gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)); + + CCTK_REAL const Xt1rhsL = PDupwindNth1(Xt1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu11*J11L + Atu21*J12L + Atu31*J13L)*PDstandardNth1alpha + + (Atu11*J21L + Atu21*J22L + Atu31*J23L)*PDstandardNth2alpha + + (Atu11*J31L + Atu21*J32L + Atu31*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + dJ112L*PDstandardNth1beta1 + + J21L*J22L*PDstandardNth22beta1 + J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + + dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + dJ312L*PDstandardNth3beta1) + + gtu31*(J11L*J13L*PDstandardNth11beta1 + J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + dJ113L*PDstandardNth1beta1 + + J21L*J23L*PDstandardNth22beta1 + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + dJ313L*PDstandardNth3beta1) + + gtu32*(J12L*J13L*PDstandardNth11beta1 + J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + + J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + dJ123L*PDstandardNth1beta1 + + J22L*J23L*PDstandardNth22beta1 + J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + + dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + dJ323L*PDstandardNth3beta1) + + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + 2*Atu21*Gt112 + 2*Atu31*Gt113 + + Atu22*Gt122 + 2*Atu32*Gt123 + Atu33*Gt133 - + ktwothird*((gtu11*J11L + gtu21*J12L + gtu31*J13L)*PDstandardNth1trK + + (gtu11*J21L + gtu21*J22L + gtu31*J23L)*PDstandardNth2trK + + (gtu11*J31L + gtu21*J32L + gtu31*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - + PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta1 + 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + + 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + dJ311L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta1 + 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + + 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + dJ322L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J12L) + PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta1 + 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + + 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + dJ333L*PDstandardNth3beta1 + + PDstandardNth11beta1*SQR(J13L) + PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + + kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu31*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const Xt2rhsL = PDupwindNth1(Xt2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu21*J11L + Atu22*J12L + Atu32*J13L)*PDstandardNth1alpha + + (Atu21*J21L + Atu22*J22L + Atu32*J23L)*PDstandardNth2alpha + + (Atu21*J31L + Atu22*J32L + Atu32*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta2 + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + dJ112L*PDstandardNth1beta2 + + J21L*J22L*PDstandardNth22beta2 + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + + dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + dJ312L*PDstandardNth3beta2) + + gtu31*(J11L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + + J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + dJ113L*PDstandardNth1beta2 + + J21L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + + dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + dJ313L*PDstandardNth3beta2) + + gtu32*(J12L*J13L*PDstandardNth11beta2 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + dJ123L*PDstandardNth1beta2 + + J22L*J23L*PDstandardNth22beta2 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + dJ323L*PDstandardNth3beta2) + + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + 2*Atu21*Gt212 + 2*Atu31*Gt213 + + Atu22*Gt222 + 2*Atu32*Gt223 + Atu33*Gt233 - + ktwothird*((gtu21*J11L + gtu22*J12L + gtu32*J13L)*PDstandardNth1trK + + (gtu21*J21L + gtu22*J22L + gtu32*J23L)*PDstandardNth2trK + + (gtu21*J31L + gtu22*J32L + gtu32*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - + PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta2 + 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + + 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + dJ311L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J11L) + PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta2 + 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + + 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + dJ322L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta2 + 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + + 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + dJ333L*PDstandardNth3beta2 + + PDstandardNth11beta2*SQR(J13L) + PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + + kthird*(gtu21*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu32*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const Xt3rhsL = PDupwindNth1(Xt3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(Xt3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(Xt3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + 2*((Atu31*J11L + Atu32*J12L + Atu33*J13L)*PDstandardNth1alpha + + (Atu31*J21L + Atu32*J22L + Atu33*J23L)*PDstandardNth2alpha + + (Atu31*J31L + Atu32*J32L + Atu33*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + + J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + dJ112L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta3) + + gtu31*(J11L*J13L*PDstandardNth11beta3 + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta3 + J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + + dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + dJ313L*PDstandardNth3beta3) + + gtu32*(J12L*J13L*PDstandardNth11beta3 + J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + dJ123L*PDstandardNth1beta3 + + J22L*J23L*PDstandardNth22beta3 + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + dJ323L*PDstandardNth3beta3) + + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + 2*Atu21*Gt312 + 2*Atu31*Gt313 + + Atu22*Gt322 + 2*Atu32*Gt323 + Atu33*Gt333 - + ktwothird*((gtu31*J11L + gtu32*J12L + gtu33*J13L)*PDstandardNth1trK + + (gtu31*J21L + gtu32*J22L + gtu33*J23L)*PDstandardNth2trK + + (gtu31*J31L + gtu32*J32L + gtu33*J33L)*PDstandardNth3trK))) - + 50.26548245743669181540229413247204614715*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + + ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - + PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + gtu11*(2*J11L*J21L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + + 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + dJ311L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J11L) + PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta3 + 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + + 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + dJ322L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J12L) + PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta3 + 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + + kthird*(gtu31*(J11L*J12L*PDstandardNth11beta2 + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + J13L*J21L*PDstandardNth12beta3 + + J11L*J23L*PDstandardNth12beta3 + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ111L*PDstandardNth1beta1 + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + 2*J21L*J31L*PDstandardNth23beta1 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + dJ212L*PDstandardNth2beta2 + + dJ213L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + dJ313L*PDstandardNth3beta3 + + PDstandardNth11beta1*SQR(J11L) + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu32*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + J12L*J21L*PDstandardNth12beta1 + + J11L*J22L*PDstandardNth12beta1 + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + 2*J12L*J32L*PDstandardNth13beta2 + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + dJ123L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + J23L*J32L*PDstandardNth23beta3 + + J22L*J33L*PDstandardNth23beta3 + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta1 + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu33*(J11L*J13L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + 2*J13L*J23L*PDstandardNth12beta3 + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + 2*J13L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta1 + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + J23L*J31L*PDstandardNth23beta1 + + J21L*J33L*PDstandardNth23beta1 + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + dJ223L*PDstandardNth2beta2 + + dJ233L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + dJ333L*PDstandardNth3beta3 + + PDstandardNth11beta3*SQR(J13L) + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(beta1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(beta1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + + B1L*ShiftGammaCoeff; + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(beta2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(beta2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + + B2L*ShiftGammaCoeff; + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(beta3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(beta3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + + B3L*ShiftGammaCoeff; + + CCTK_REAL const B1rhsL = -(B1L*etaL) + (beta1L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J11L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*J21L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*J31L) + + beta2L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J12L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*J22L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*J32L) + + beta3L*((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*J13L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*J23L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL const B2rhsL = -(B2L*etaL) + (beta1L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J11L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*J21L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*J31L) + + beta2L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J12L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*J22L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*J32L) + + beta3L*((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*J13L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*J23L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL const B3rhsL = -(B3L*etaL) + (beta1L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J11L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*J21L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*J31L) + + beta2L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J12L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*J22L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*J32L) + + beta3L*((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*J13L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*J23L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt3rhsL; + + + /* Copy local copies back to grid functions */ + B1rhs[index] = B1rhsL; + B2rhs[index] = B2rhsL; + B3rhs[index] = B3rhsL; + beta1rhs[index] = beta1rhsL; + beta2rhs[index] = beta2rhsL; + beta3rhs[index] = beta3rhsL; + gt11rhs[index] = gt11rhsL; + gt12rhs[index] = gt12rhsL; + gt13rhs[index] = gt13rhsL; + gt22rhs[index] = gt22rhsL; + gt23rhs[index] = gt23rhsL; + gt33rhs[index] = gt33rhsL; + phirhs[index] = phirhsL; + Xt1rhs[index] = Xt1rhsL; + Xt2rhs[index] = Xt2rhsL; + Xt3rhs[index] = Xt3rhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_MP_RHS1); +} + +void ML_BSSN_MP_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS1_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c new file mode 100644 index 0000000..d54bf6a --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c @@ -0,0 +1,1182 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_MP_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_RHS2_calc_every != ML_BSSN_MP_RHS2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_MP_RHS2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL g11 = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; + // CCTK_REAL g12 = INITVALUE; + // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; + // CCTK_REAL g13 = INITVALUE; + // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; + // CCTK_REAL g22 = INITVALUE; + // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; + // CCTK_REAL g23 = INITVALUE; + // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; + // CCTK_REAL g33 = INITVALUE; + // CCTK_REAL G333 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; + // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; + // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; + // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; + // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; + // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; + // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; + // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trAts = INITVALUE; + // CCTK_REAL trS = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(beta1L); + + int const dir2 = Sign(beta2L); + + int const dir3 = Sign(beta3L); + + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const Gtl111 = khalf*(J11L*PDstandardNth1gt11 + J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); + + CCTK_REAL const Gtl112 = khalf*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); + + CCTK_REAL const Gtl113 = khalf*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); + + CCTK_REAL const Gtl122 = J12L*PDstandardNth1gt12 - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - + J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - J31L*khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl123 = khalf*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl133 = J13L*PDstandardNth1gt13 - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - + J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - J31L*khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtl211 = khalf*(-(J12L*PDstandardNth1gt11) + 2*J11L*PDstandardNth1gt12 - J22L*PDstandardNth2gt11 + + 2*J21L*PDstandardNth2gt12 - J32L*PDstandardNth3gt11 + 2*J31L*PDstandardNth3gt12); + + CCTK_REAL const Gtl212 = khalf*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); + + CCTK_REAL const Gtl213 = khalf*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl222 = khalf*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); + + CCTK_REAL const Gtl223 = khalf*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); + + CCTK_REAL const Gtl233 = J13L*PDstandardNth1gt23 - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - + J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - J32L*khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtl311 = khalf*(-(J13L*PDstandardNth1gt11) + 2*J11L*PDstandardNth1gt13 - J23L*PDstandardNth2gt11 + + 2*J21L*PDstandardNth2gt13 - J33L*PDstandardNth3gt11 + 2*J31L*PDstandardNth3gt13); + + CCTK_REAL const Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); + + CCTK_REAL const Gtl313 = khalf*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); + + CCTK_REAL const Gtl322 = khalf*(-(J13L*PDstandardNth1gt22) + 2*J12L*PDstandardNth1gt23 - J23L*PDstandardNth2gt22 + + 2*J22L*PDstandardNth2gt23 - J33L*PDstandardNth3gt22 + 2*J32L*PDstandardNth3gt23); + + CCTK_REAL const Gtl323 = khalf*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); + + CCTK_REAL const Gtl333 = khalf*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); + + CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + + Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + + J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3) + + J21L*(gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + + J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + + Gtl113*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + J12L*J21L*PDstandardNth12gt11 + + J11L*J22L*PDstandardNth12gt11 + J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + + dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + J22L*J31L*PDstandardNth23gt11 + + J21L*J32L*PDstandardNth23gt11 + dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + + dJ312L*PDstandardNth3gt11) + gtu31*(J11L*J13L*PDstandardNth11gt11 + J13L*J21L*PDstandardNth12gt11 + + J11L*J23L*PDstandardNth12gt11 + J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + + dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + J23L*J31L*PDstandardNth23gt11 + + J21L*J33L*PDstandardNth23gt11 + dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + + dJ313L*PDstandardNth3gt11) + gtu32*(J12L*J13L*PDstandardNth11gt11 + J13L*J22L*PDstandardNth12gt11 + + J12L*J23L*PDstandardNth12gt11 + J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + + dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + J23L*J32L*PDstandardNth23gt11 + + J22L*J33L*PDstandardNth23gt11 + dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + + dJ323L*PDstandardNth3gt11)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt11 + 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + + 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + dJ311L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J11L) + PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt11 + 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + + 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + dJ322L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J12L) + PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt11 + 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + + 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + dJ333L*PDstandardNth3gt11 + + PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); + + CCTK_REAL const Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + + Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + Gtlu122 + Gtlu212) + Gt113*Gtlu213 + + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + + Gt312*(Gtlu131 + Gtlu232 + Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + + khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + + (gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 + + (gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + + J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + dJ112L*PDstandardNth1gt12 + + J21L*J22L*PDstandardNth22gt12 + J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + + dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + dJ312L*PDstandardNth3gt12) + + gtu31*(J11L*J13L*PDstandardNth11gt12 + J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + + J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + dJ113L*PDstandardNth1gt12 + + J21L*J23L*PDstandardNth22gt12 + J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + + dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + dJ313L*PDstandardNth3gt12) + + gtu32*(J12L*J13L*PDstandardNth11gt12 + J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + + J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + dJ123L*PDstandardNth1gt12 + + J22L*J23L*PDstandardNth22gt12 + J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + + dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + dJ323L*PDstandardNth3gt12)) + + (gt12L*J31L + gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + gt12L*J32L)*PDstandardNth3Xt2 + + (gt23L*J31L + gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + Gtl212)*Xtn2 + + (Gtl123 + Gtl213)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + 2*J11L*J31L*PDstandardNth13gt12 + + dJ111L*PDstandardNth1gt12 + 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + + dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + PDstandardNth22gt12*SQR(J21L) + + PDstandardNth33gt12*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt12 + 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + + 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + dJ322L*PDstandardNth3gt12 + + PDstandardNth11gt12*SQR(J12L) + PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt12 + 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + + 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + dJ333L*PDstandardNth3gt12 + + PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); + + CCTK_REAL const Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + + (Gt112 + Gt323)*Gtlu132 + Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + Gtlu133 + Gtlu313) + + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + + 2*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) + + khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + + (gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 + + (gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + + J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + dJ112L*PDstandardNth1gt13 + + J21L*J22L*PDstandardNth22gt13 + J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + + dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + dJ312L*PDstandardNth3gt13) + + gtu31*(J11L*J13L*PDstandardNth11gt13 + J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + + J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + dJ113L*PDstandardNth1gt13 + + J21L*J23L*PDstandardNth22gt13 + J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + + dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + dJ313L*PDstandardNth3gt13) + + gtu32*(J12L*J13L*PDstandardNth11gt13 + J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + + J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + dJ123L*PDstandardNth1gt13 + + J22L*J23L*PDstandardNth22gt13 + J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + + dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + dJ323L*PDstandardNth3gt13)) + + (gt13L*J31L + gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + gt12L*J33L)*PDstandardNth3Xt2 + + (gt33L*J31L + gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + Gtl312)*Xtn2 + + (Gtl133 + Gtl313)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + 2*J11L*J31L*PDstandardNth13gt13 + + dJ111L*PDstandardNth1gt13 + 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + + dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + PDstandardNth22gt13*SQR(J21L) + + PDstandardNth33gt13*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt13 + 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + + 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + dJ322L*PDstandardNth3gt13 + + PDstandardNth11gt13*SQR(J12L) + PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt13 + 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + + 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + dJ333L*PDstandardNth3gt13 + + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); + + CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + + 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + + J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3) + + J22L*(gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + + J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + + Gtl223*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + J12L*J21L*PDstandardNth12gt22 + + J11L*J22L*PDstandardNth12gt22 + J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + + dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + J22L*J31L*PDstandardNth23gt22 + + J21L*J32L*PDstandardNth23gt22 + dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + + dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + J13L*J21L*PDstandardNth12gt22 + + J11L*J23L*PDstandardNth12gt22 + J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + + dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + J23L*J31L*PDstandardNth23gt22 + + J21L*J33L*PDstandardNth23gt22 + dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + + dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + J13L*J22L*PDstandardNth12gt22 + + J12L*J23L*PDstandardNth12gt22 + J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + + dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + J23L*J32L*PDstandardNth23gt22 + + J22L*J33L*PDstandardNth23gt22 + dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + + dJ323L*PDstandardNth3gt22)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt22 + 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + + 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + dJ311L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J11L) + PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt22 + 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + + 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + dJ322L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J12L) + PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt22 + 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + + 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + dJ333L*PDstandardNth3gt22 + + PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); + + CCTK_REAL const Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + + (Gt222 + Gt323)*Gtlu232 + Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + + Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) + + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + + (gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 + + (gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + gt23L*J23L)*PDstandardNth2Xt3 - + 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + + J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + dJ112L*PDstandardNth1gt23 + + J21L*J22L*PDstandardNth22gt23 + J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + + dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + dJ312L*PDstandardNth3gt23) + + gtu31*(J11L*J13L*PDstandardNth11gt23 + J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + + J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + dJ113L*PDstandardNth1gt23 + + J21L*J23L*PDstandardNth22gt23 + J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + + dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + dJ313L*PDstandardNth3gt23) + + gtu32*(J12L*J13L*PDstandardNth11gt23 + J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + + J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + dJ123L*PDstandardNth1gt23 + + J22L*J23L*PDstandardNth22gt23 + J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + + dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + dJ323L*PDstandardNth3gt23)) + + (gt13L*J32L + gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + gt22L*J33L)*PDstandardNth3Xt2 + + (gt33L*J32L + gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + Gtl322)*Xtn2 + + (Gtl233 + Gtl323)*Xtn3 - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + 2*J11L*J31L*PDstandardNth13gt23 + + dJ111L*PDstandardNth1gt23 + 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + + dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + PDstandardNth22gt23*SQR(J21L) + + PDstandardNth33gt23*SQR(J31L)) - gtu22* + (2*J12L*J22L*PDstandardNth12gt23 + 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + + 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + dJ322L*PDstandardNth3gt23 + + PDstandardNth11gt23*SQR(J12L) + PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt23 + 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + + 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + dJ333L*PDstandardNth3gt23 + + PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); + + CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + + Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3) + + J23L*(gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + + J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + + Gtl333*Xtn3 + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + J12L*J21L*PDstandardNth12gt33 + + J11L*J22L*PDstandardNth12gt33 + J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + + dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + J22L*J31L*PDstandardNth23gt33 + + J21L*J32L*PDstandardNth23gt33 + dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + + dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + J13L*J21L*PDstandardNth12gt33 + + J11L*J23L*PDstandardNth12gt33 + J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + + dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + J23L*J31L*PDstandardNth23gt33 + + J21L*J33L*PDstandardNth23gt33 + dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + + dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + J13L*J22L*PDstandardNth12gt33 + + J12L*J23L*PDstandardNth12gt33 + J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + + dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + J23L*J32L*PDstandardNth23gt33 + + J22L*J33L*PDstandardNth23gt33 + dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + + dJ323L*PDstandardNth3gt33)) - gtu11* + (2*J11L*J21L*PDstandardNth12gt33 + 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + + 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + dJ311L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J11L) + PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt33 + 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + + 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + dJ322L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J12L) + PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt33 + 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + + 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + dJ333L*PDstandardNth3gt33 + + PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); + + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL const cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL const cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL const cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL const cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + + 2*(J11L*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + + (dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + + (dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J11L) + + PDstandardNth22phi*SQR(J21L) + PDstandardNth33phi*SQR(J31L)) + + fac2*SQR(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL const cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + (J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + + fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + + J11L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + + (dJ112L - Gt112*J11L - Gt212*J12L - Gt312*J13L)*PDstandardNth1phi + + J22L*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi) + + (dJ212L - Gt112*J21L - Gt212*J22L - Gt312*J23L)*PDstandardNth2phi + + J32L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + + (dJ312L - Gt112*J31L - Gt212*J32L - Gt312*J33L)*PDstandardNth3phi); + + CCTK_REAL const cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + + fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + + J11L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + + (dJ113L - Gt113*J11L - Gt213*J12L - Gt313*J13L)*PDstandardNth1phi + + J23L*(J21L*PDstandardNth22phi + J31L*PDstandardNth23phi) + + (dJ213L - Gt113*J21L - Gt213*J22L - Gt313*J23L)*PDstandardNth2phi + + J33L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + + (dJ313L - Gt113*J31L - Gt213*J32L - Gt313*J33L)*PDstandardNth3phi); + + CCTK_REAL const cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + + 2*(J12L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + + (dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + + (dJ322L - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J12L) + + PDstandardNth22phi*SQR(J22L) + PDstandardNth33phi*SQR(J32L)) + + fac2*SQR(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL const cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)* + (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + + fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + + J12L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + + (dJ123L - Gt123*J11L - Gt223*J12L - Gt323*J13L)*PDstandardNth1phi + + J23L*(J22L*PDstandardNth22phi + J32L*PDstandardNth23phi) + + (dJ223L - Gt123*J21L - Gt223*J22L - Gt323*J23L)*PDstandardNth2phi + + J33L*(J22L*PDstandardNth23phi + J32L*PDstandardNth33phi) + + (dJ323L - Gt123*J31L - Gt223*J32L - Gt323*J33L)*PDstandardNth3phi); + + CCTK_REAL const cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + + 2*(J13L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + + (dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + + (dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J13L) + + PDstandardNth22phi*SQR(J23L) + PDstandardNth33phi*SQR(J33L)) + + fac2*SQR(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); + + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + CCTK_REAL const g11 = e4phi*gt11L; + + CCTK_REAL const g12 = e4phi*gt12L; + + CCTK_REAL const g13 = e4phi*gt13L; + + CCTK_REAL const g22 = e4phi*gt22L; + + CCTK_REAL const g23 = e4phi*gt23L; + + CCTK_REAL const g33 = e4phi*gt33L; + + CCTK_REAL const gu11 = em4phi*gtu11; + + CCTK_REAL const gu21 = em4phi*gtu21; + + CCTK_REAL const gu31 = em4phi*gtu31; + + CCTK_REAL const gu22 = em4phi*gtu22; + + CCTK_REAL const gu32 = em4phi*gtu32; + + CCTK_REAL const gu33 = em4phi*gtu33; + + CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + + CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + + CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + + CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + + CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + + CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + + CCTK_REAL const R11 = Rphi11 + Rt11; + + CCTK_REAL const R12 = Rphi12 + Rt12; + + CCTK_REAL const R13 = Rphi13 + Rt13; + + CCTK_REAL const R22 = Rphi22 + Rt22; + + CCTK_REAL const R23 = Rphi23 + Rt23; + + CCTK_REAL const R33 = Rphi33 + Rt33; + + CCTK_REAL const T00 = eTttL; + + CCTK_REAL const T01 = eTtxL; + + CCTK_REAL const T02 = eTtyL; + + CCTK_REAL const T03 = eTtzL; + + CCTK_REAL const T11 = eTxxL; + + CCTK_REAL const T12 = eTxyL; + + CCTK_REAL const T13 = eTxzL; + + CCTK_REAL const T22 = eTyyL; + + CCTK_REAL const T23 = eTyzL; + + CCTK_REAL const T33 = eTzzL; + + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); + + CCTK_REAL const trS = gu11*T11 + gu22*T22 + 2*(gu21*T12 + gu31*T13 + gu32*T23) + gu33*T33; + + CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(trK, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(trK, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (-(dJ111L*gu11) - 2*dJ112L*gu21 - dJ122L*gu22 - 2*dJ113L*gu31 - 2*dJ123L*gu32 - dJ133L*gu33 + G111*gu11*J11L + + 2*G112*gu21*J11L + G122*gu22*J11L + 2*G113*gu31*J11L + 2*G123*gu32*J11L + G133*gu33*J11L + G211*gu11*J12L + + 2*G212*gu21*J12L + G222*gu22*J12L + 2*G213*gu31*J12L + 2*G223*gu32*J12L + G233*gu33*J12L + G311*gu11*J13L + + 2*G312*gu21*J13L + G322*gu22*J13L + 2*G313*gu31*J13L + 2*G323*gu32*J13L + G333*gu33*J13L)*PDstandardNth1alpha + + (-(dJ211L*gu11) - 2*dJ212L*gu21 - dJ222L*gu22 - 2*dJ213L*gu31 - 2*dJ223L*gu32 - dJ233L*gu33 + G111*gu11*J21L + + 2*G112*gu21*J21L + G122*gu22*J21L + 2*G113*gu31*J21L + 2*G123*gu32*J21L + G133*gu33*J21L + G211*gu11*J22L + + 2*G212*gu21*J22L + G222*gu22*J22L + 2*G213*gu31*J22L + 2*G223*gu32*J22L + G233*gu33*J22L + G311*gu11*J23L + + 2*G312*gu21*J23L + G322*gu22*J23L + 2*G313*gu31*J23L + 2*G323*gu32*J23L + G333*gu33*J23L)*PDstandardNth2alpha - + dJ311L*gu11*PDstandardNth3alpha - dJ322L*gu22*PDstandardNth3alpha - 2*dJ313L*gu31*PDstandardNth3alpha - + 2*dJ323L*gu32*PDstandardNth3alpha - dJ333L*gu33*PDstandardNth3alpha + G111*gu11*J31L*PDstandardNth3alpha + + G122*gu22*J31L*PDstandardNth3alpha + 2*G113*gu31*J31L*PDstandardNth3alpha + 2*G123*gu32*J31L*PDstandardNth3alpha + + G133*gu33*J31L*PDstandardNth3alpha + G211*gu11*J32L*PDstandardNth3alpha + 2*G212*gu21*J32L*PDstandardNth3alpha + + G222*gu22*J32L*PDstandardNth3alpha + 2*G213*gu31*J32L*PDstandardNth3alpha + 2*G223*gu32*J32L*PDstandardNth3alpha + + G233*gu33*J32L*PDstandardNth3alpha + G311*gu11*J33L*PDstandardNth3alpha + 2*G312*gu21*J33L*PDstandardNth3alpha + + G322*gu22*J33L*PDstandardNth3alpha + 2*G313*gu31*J33L*PDstandardNth3alpha + 2*G323*gu32*J33L*PDstandardNth3alpha + + G333*gu33*J33L*PDstandardNth3alpha - 2*(gu21*J11L*J12L*PDstandardNth11alpha + gu31*J11L*J13L*PDstandardNth11alpha + + gu32*J12L*J13L*PDstandardNth11alpha + gu11*J11L*J21L*PDstandardNth12alpha + + gu21*J12L*J21L*PDstandardNth12alpha + gu31*J13L*J21L*PDstandardNth12alpha + + gu21*J11L*J22L*PDstandardNth12alpha + gu22*J12L*J22L*PDstandardNth12alpha + + gu32*J13L*J22L*PDstandardNth12alpha + gu31*J11L*J23L*PDstandardNth12alpha + + gu32*J12L*J23L*PDstandardNth12alpha + gu33*J13L*J23L*PDstandardNth12alpha + + gu11*J11L*J31L*PDstandardNth13alpha + gu21*J12L*J31L*PDstandardNth13alpha + + gu31*J13L*J31L*PDstandardNth13alpha + gu21*J11L*J32L*PDstandardNth13alpha + + gu22*J12L*J32L*PDstandardNth13alpha + gu32*J13L*J32L*PDstandardNth13alpha + + gu31*J11L*J33L*PDstandardNth13alpha + gu32*J12L*J33L*PDstandardNth13alpha + + gu33*J13L*J33L*PDstandardNth13alpha + gu21*J21L*J22L*PDstandardNth22alpha + + gu31*J21L*J23L*PDstandardNth22alpha + gu32*J22L*J23L*PDstandardNth22alpha + + gu11*J21L*J31L*PDstandardNth23alpha + gu21*J22L*J31L*PDstandardNth23alpha + + gu31*J23L*J31L*PDstandardNth23alpha + gu21*J21L*J32L*PDstandardNth23alpha + + gu22*J22L*J32L*PDstandardNth23alpha + gu32*J23L*J32L*PDstandardNth23alpha + + gu31*J21L*J33L*PDstandardNth23alpha + gu32*J22L*J33L*PDstandardNth23alpha + + gu33*J23L*J33L*PDstandardNth23alpha + gu21*J31L*J32L*PDstandardNth33alpha + + gu31*J31L*J33L*PDstandardNth33alpha + gu32*J32L*J33L*PDstandardNth33alpha + dJ312L*gu21*PDstandardNth3alpha) + + 2*(alphaL*Atm12*Atm21 + alphaL*Atm13*Atm31 + alphaL*Atm23*Atm32 + G112*gu21*J31L*PDstandardNth3alpha) + + 12.56637061435917295385057353311801153679*alphaL*rho + 12.56637061435917295385057353311801153679*alphaL*trS + + alphaL*SQR(Atm11) + alphaL*SQR(Atm22) + alphaL*SQR(Atm33) - gu11*PDstandardNth11alpha*SQR(J11L) - + gu22*PDstandardNth11alpha*SQR(J12L) - gu33*PDstandardNth11alpha*SQR(J13L) - gu11*PDstandardNth22alpha*SQR(J21L) - + gu22*PDstandardNth22alpha*SQR(J22L) - gu33*PDstandardNth22alpha*SQR(J23L) - gu11*PDstandardNth33alpha*SQR(J31L) - + gu22*PDstandardNth33alpha*SQR(J32L) - gu33*PDstandardNth33alpha*SQR(J33L) + alphaL*kthird*SQR(trKL); + + CCTK_REAL const Ats11 = (-dJ111L + G111*J11L + G211*J12L + G311*J13L)*PDstandardNth1alpha - + 2*(J11L*J21L*PDstandardNth12alpha + J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + + (-dJ211L + G111*J21L + G211*J22L + G311*J23L)*PDstandardNth2alpha + + (-dJ311L + G111*J31L + G211*J32L + G311*J33L)*PDstandardNth3alpha + alphaL*R11 - PDstandardNth11alpha*SQR(J11L) - + PDstandardNth22alpha*SQR(J21L) - PDstandardNth33alpha*SQR(J31L); + + CCTK_REAL const Ats12 = -(J11L*J12L*PDstandardNth11alpha) - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - + J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + + (-dJ112L + G112*J11L + G212*J12L + G312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - + J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + + (-dJ212L + G112*J21L + G212*J22L + G312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - + dJ312L*PDstandardNth3alpha + G112*J31L*PDstandardNth3alpha + G212*J32L*PDstandardNth3alpha + + G312*J33L*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL const Ats13 = -(J11L*J13L*PDstandardNth11alpha) - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - + J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + + (-dJ113L + G113*J11L + G213*J12L + G313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - + J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + + (-dJ213L + G113*J21L + G213*J22L + G313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - + dJ313L*PDstandardNth3alpha + G113*J31L*PDstandardNth3alpha + G213*J32L*PDstandardNth3alpha + + G313*J33L*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL const Ats22 = (-dJ122L + G122*J11L + G222*J12L + G322*J13L)*PDstandardNth1alpha - + 2*(J12L*J22L*PDstandardNth12alpha + J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + + (-dJ222L + G122*J21L + G222*J22L + G322*J23L)*PDstandardNth2alpha + + (-dJ322L + G122*J31L + G222*J32L + G322*J33L)*PDstandardNth3alpha + alphaL*R22 - PDstandardNth11alpha*SQR(J12L) - + PDstandardNth22alpha*SQR(J22L) - PDstandardNth33alpha*SQR(J32L); + + CCTK_REAL const Ats23 = -(J12L*J13L*PDstandardNth11alpha) - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - + J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + + (-dJ123L + G123*J11L + G223*J12L + G323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - + J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + + (-dJ223L + G123*J21L + G223*J22L + G323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - + dJ323L*PDstandardNth3alpha + G123*J31L*PDstandardNth3alpha + G223*J32L*PDstandardNth3alpha + + G323*J33L*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL const Ats33 = (-dJ133L + G133*J11L + G233*J12L + G333*J13L)*PDstandardNth1alpha - + 2*(J13L*J23L*PDstandardNth12alpha + J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + + (-dJ233L + G133*J21L + G233*J22L + G333*J23L)*PDstandardNth2alpha + + (-dJ333L + G133*J31L + G233*J32L + G333*J33L)*PDstandardNth3alpha + alphaL*R33 - PDstandardNth11alpha*SQR(J13L) - + PDstandardNth22alpha*SQR(J23L) - PDstandardNth33alpha*SQR(J33L); + + CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL const At11rhsL = PDupwindNth1(At11, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At11, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At11, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J11L*(At11L*PDstandardNth1beta1 + At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + At13L*PDstandardNth2beta3) + + J31L*(At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + + alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + + em4phi*(Ats11 - g11*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T11 - g11*kthird*trS)); + + CCTK_REAL const At12rhsL = PDupwindNth1(At12, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At12, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At12, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (0.3333333333333333333333333333333333333333*At12L*J11L + At11L*J12L)*PDstandardNth1beta1 + + (At22L*J11L + 0.3333333333333333333333333333333333333333*At12L*J12L)*PDstandardNth1beta2 + + (At23L*J11L + At13L*J12L - 0.6666666666666666666666666666666666666667*At12L*J13L)*PDstandardNth1beta3 + + (0.3333333333333333333333333333333333333333*At12L*J21L + At11L*J22L)*PDstandardNth2beta1 + + (At22L*J21L + 0.3333333333333333333333333333333333333333*At12L*J22L)*PDstandardNth2beta2 + + (At23L*J21L + At13L*J22L - 0.6666666666666666666666666666666666666667*At12L*J23L)*PDstandardNth2beta3 + + (0.3333333333333333333333333333333333333333*At12L*J31L + At11L*J32L)*PDstandardNth3beta1 + + (At22L*J31L + 0.3333333333333333333333333333333333333333*At12L*J32L)*PDstandardNth3beta2 + + (At23L*J31L + At13L*J32L - 0.6666666666666666666666666666666666666667*At12L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + At12L*trKL) + + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T12 + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL const At13rhsL = PDupwindNth1(At13, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At13, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At13, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (0.3333333333333333333333333333333333333333*At13L*J11L + At11L*J13L)*PDstandardNth1beta1 + + (At23L*J11L - 0.6666666666666666666666666666666666666667*At13L*J12L + At12L*J13L)*PDstandardNth1beta2 + + (At33L*J11L + 0.3333333333333333333333333333333333333333*At13L*J13L)*PDstandardNth1beta3 + + (0.3333333333333333333333333333333333333333*At13L*J21L + At11L*J23L)*PDstandardNth2beta1 + + (At23L*J21L - 0.6666666666666666666666666666666666666667*At13L*J22L + At12L*J23L)*PDstandardNth2beta2 + + (At33L*J21L + 0.3333333333333333333333333333333333333333*At13L*J23L)*PDstandardNth2beta3 + + (0.3333333333333333333333333333333333333333*At13L*J31L + At11L*J33L)*PDstandardNth3beta1 + + (At23L*J31L - 0.6666666666666666666666666666666666666667*At13L*J32L + At12L*J33L)*PDstandardNth3beta2 + + (At33L*J31L + 0.3333333333333333333333333333333333333333*At13L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + At13L*trKL) + + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T13 + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL const At22rhsL = PDupwindNth1(At22, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At22, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At22, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J12L*(At12L*PDstandardNth1beta1 + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + + J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + At23L*PDstandardNth2beta3) + + J32L*(At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + + alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + + em4phi*(Ats22 - g22*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T22 - g22*kthird*trS)); + + CCTK_REAL const At23rhsL = PDupwindNth1(At23, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At23, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At23, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + + (-0.6666666666666666666666666666666666666667*At23L*J11L + At13L*J12L + At12L*J13L)*PDstandardNth1beta1 + + (0.3333333333333333333333333333333333333333*At23L*J12L + At22L*J13L)*PDstandardNth1beta2 + + (At33L*J12L + 0.3333333333333333333333333333333333333333*At23L*J13L)*PDstandardNth1beta3 + + (-0.6666666666666666666666666666666666666667*At23L*J21L + At13L*J22L + At12L*J23L)*PDstandardNth2beta1 + + (0.3333333333333333333333333333333333333333*At23L*J22L + At22L*J23L)*PDstandardNth2beta2 + + (At33L*J22L + 0.3333333333333333333333333333333333333333*At23L*J23L)*PDstandardNth2beta3 + + (-0.6666666666666666666666666666666666666667*At23L*J31L + At13L*J32L + At12L*J33L)*PDstandardNth3beta1 + + (0.3333333333333333333333333333333333333333*At23L*J32L + At22L*J33L)*PDstandardNth3beta2 + + (At33L*J32L + 0.3333333333333333333333333333333333333333*At23L*J33L)*PDstandardNth3beta3 + + alphaL*(-2.*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + At23L*trKL) + + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*T23 + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL const At33rhsL = PDupwindNth1(At33, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(At33, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(At33, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - + At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3) + + 2*(J13L*(At13L*PDstandardNth1beta1 + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + + J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + At33L*PDstandardNth2beta3) + + J33L*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + + alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + + em4phi*(Ats33 - g33*kthird*trAts - 25.13274122871834590770114706623602307358*alphaL*(T33 - g33*kthird*trS)); + + CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + PDupwindNth2(alpha, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + + PDupwindNth3(alpha, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*LapseAdvectionCoeff + + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + + + /* Copy local copies back to grid functions */ + alpharhs[index] = alpharhsL; + Arhs[index] = ArhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; + trKrhs[index] = trKrhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_MP_RHS2); +} + +void ML_BSSN_MP_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS2_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c index 91061f0..c362cec 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_RHSRadiativeBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT con /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,77 +93,77 @@ void ML_BSSN_MP_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT con i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; - CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; - CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; - CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; - CCTK_REAL vg = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; + // CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; + // CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; + // CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; + // CCTK_REAL vg = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; - CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; - CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - J11L = J11[index]; - J12L = J12[index]; - J13L = J13[index]; - J21L = J21[index]; - J22L = J22[index]; - J23L = J23[index]; - J31L = J31[index]; - J32L = J32[index]; - J33L = J33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ @@ -176,161 +174,161 @@ void ML_BSSN_MP_RHSRadiativeBoundary_Body(cGH const * const cctkGH, CCTK_INT con /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(normal[0]); + int const dir1 = Sign(normal[0]); - dir2 = Sign(normal[1]); + int const dir2 = Sign(normal[1]); - dir3 = Sign(normal[2]); + int const dir3 = Sign(normal[2]); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - gu11 = em4phi*gtu11; + CCTK_REAL const gu11 = em4phi*gtu11; - gu21 = em4phi*gtu21; + CCTK_REAL const gu21 = em4phi*gtu21; - gu31 = em4phi*gtu31; + CCTK_REAL const gu31 = em4phi*gtu31; - gu22 = em4phi*gtu22; + CCTK_REAL const gu22 = em4phi*gtu22; - gu32 = em4phi*gtu32; + CCTK_REAL const gu32 = em4phi*gtu32; - gu33 = em4phi*gtu33; + CCTK_REAL const gu33 = em4phi*gtu33; - nn1 = normal[0]; + CCTK_REAL const nn1 = normal[0]; - nn2 = normal[1]; + CCTK_REAL const nn2 = normal[1]; - nn3 = normal[2]; + CCTK_REAL const nn3 = normal[2]; - nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + CCTK_REAL const nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + CCTK_REAL const nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + CCTK_REAL const nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + CCTK_REAL const nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - nlen = pow(nlen2,0.5); + CCTK_REAL const nlen = pow(nlen2,0.5); - su1 = nu1*INV(nlen); + CCTK_REAL const su1 = nu1*INV(nlen); - su2 = nu2*INV(nlen); + CCTK_REAL const su2 = nu2*INV(nlen); - su3 = nu3*INV(nlen); + CCTK_REAL const su3 = nu3*INV(nlen); - vg = pow(harmonicF,0.5); + CCTK_REAL const vg = pow(harmonicF,0.5); - phirhsL = -((PDonesided1(phi, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + + CCTK_REAL const phirhsL = -((PDonesided1(phi, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + PDonesided2(phi, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) + PDonesided3(phi, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3))*vg); - gt11rhsL = -(PDonesided1(gt11, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt11rhsL = -(PDonesided1(gt11, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt11, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt11, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - gt12rhsL = -(PDonesided1(gt12, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt12rhsL = -(PDonesided1(gt12, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt12, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt12, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - gt13rhsL = -(PDonesided1(gt13, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt13rhsL = -(PDonesided1(gt13, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt13, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt13, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - gt22rhsL = -(PDonesided1(gt22, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt22rhsL = -(PDonesided1(gt22, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt22, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt22, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - gt23rhsL = -(PDonesided1(gt23, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt23rhsL = -(PDonesided1(gt23, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt23, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt23, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - gt33rhsL = -(PDonesided1(gt33, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const gt33rhsL = -(PDonesided1(gt33, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(gt33, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(gt33, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - trKrhsL = -((PDonesided1(trK, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + + CCTK_REAL const trKrhsL = -((PDonesided1(trK, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + PDonesided2(trK, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) + PDonesided3(trK, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3))*vg); - At11rhsL = -(PDonesided1(At11, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At11rhsL = -(PDonesided1(At11, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At11, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At11, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - At12rhsL = -(PDonesided1(At12, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At12rhsL = -(PDonesided1(At12, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At12, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At12, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - At13rhsL = -(PDonesided1(At13, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At13rhsL = -(PDonesided1(At13, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At13, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At13, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - At22rhsL = -(PDonesided1(At22, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At22rhsL = -(PDonesided1(At22, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At22, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At22, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - At23rhsL = -(PDonesided1(At23, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At23rhsL = -(PDonesided1(At23, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At23, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At23, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - At33rhsL = -(PDonesided1(At33, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const At33rhsL = -(PDonesided1(At33, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(At33, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(At33, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(Xt1, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(Xt1, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(Xt2, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(Xt2, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(Xt3, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(Xt3, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - alpharhsL = -((PDonesided1(alpha, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + + CCTK_REAL const alpharhsL = -((PDonesided1(alpha, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + PDonesided2(alpha, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) + PDonesided3(alpha, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3))*vg); - ArhsL = -((PDonesided1(A, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + + CCTK_REAL const ArhsL = -((PDonesided1(A, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3) + PDonesided2(A, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) + PDonesided3(A, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3))*vg); - beta1rhsL = -(PDonesided1(beta1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const beta1rhsL = -(PDonesided1(beta1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(beta1, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(beta1, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - beta2rhsL = -(PDonesided1(beta2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const beta2rhsL = -(PDonesided1(beta2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(beta2, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(beta2, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - beta3rhsL = -(PDonesided1(beta3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const beta3rhsL = -(PDonesided1(beta3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(beta3, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(beta3, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - B1rhsL = -(PDonesided1(B1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const B1rhsL = -(PDonesided1(B1, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(B1, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(B1, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - B2rhsL = -(PDonesided1(B2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const B2rhsL = -(PDonesided1(B2, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(B2, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(B2, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); - B3rhsL = -(PDonesided1(B3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - + CCTK_REAL const B3rhsL = -(PDonesided1(B3, i, j, k)*(J11L*su1 + J12L*su2 + J13L*su3)) - PDonesided2(B3, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - PDonesided3(B3, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3); diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c index 51f7cf4..5e9e20e 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,23 @@ void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL alpharhsL = INITVALUE; - CCTK_REAL ArhsL = INITVALUE; - CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; - CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; - CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; - CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; - CCTK_REAL phirhsL = INITVALUE; - CCTK_REAL trKrhsL = INITVALUE; - CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; + // CCTK_REAL alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phirhsL = INITVALUE; + // CCTK_REAL trKrhsL = INITVALUE; + // CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -127,55 +125,55 @@ void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * const cctkGH, CCTK_INT const /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phirhsL = 0; + CCTK_REAL const phirhsL = 0; - gt11rhsL = 0; + CCTK_REAL const gt11rhsL = 0; - gt12rhsL = 0; + CCTK_REAL const gt12rhsL = 0; - gt13rhsL = 0; + CCTK_REAL const gt13rhsL = 0; - gt22rhsL = 0; + CCTK_REAL const gt22rhsL = 0; - gt23rhsL = 0; + CCTK_REAL const gt23rhsL = 0; - gt33rhsL = 0; + CCTK_REAL const gt33rhsL = 0; - trKrhsL = 0; + CCTK_REAL const trKrhsL = 0; - At11rhsL = 0; + CCTK_REAL const At11rhsL = 0; - At12rhsL = 0; + CCTK_REAL const At12rhsL = 0; - At13rhsL = 0; + CCTK_REAL const At13rhsL = 0; - At22rhsL = 0; + CCTK_REAL const At22rhsL = 0; - At23rhsL = 0; + CCTK_REAL const At23rhsL = 0; - At33rhsL = 0; + CCTK_REAL const At33rhsL = 0; - Xt1rhsL = 0; + CCTK_REAL const Xt1rhsL = 0; - Xt2rhsL = 0; + CCTK_REAL const Xt2rhsL = 0; - Xt3rhsL = 0; + CCTK_REAL const Xt3rhsL = 0; - alpharhsL = 0; + CCTK_REAL const alpharhsL = 0; - ArhsL = 0; + CCTK_REAL const ArhsL = 0; - beta1rhsL = 0; + CCTK_REAL const beta1rhsL = 0; - beta2rhsL = 0; + CCTK_REAL const beta2rhsL = 0; - beta3rhsL = 0; + CCTK_REAL const beta3rhsL = 0; - B1rhsL = 0; + CCTK_REAL const B1rhsL = 0; - B2rhsL = 0; + CCTK_REAL const B2rhsL = 0; - B3rhsL = 0; + CCTK_REAL const B3rhsL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c index 3933b78..ce4a2d7 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,23 @@ void ML_BSSN_MP_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -127,55 +125,55 @@ void ML_BSSN_MP_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - phiL = IfThen(conformalMethod,1,0); + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); - gt11L = 1; + CCTK_REAL const gt11L = 1; - gt12L = 0; + CCTK_REAL const gt12L = 0; - gt13L = 0; + CCTK_REAL const gt13L = 0; - gt22L = 1; + CCTK_REAL const gt22L = 1; - gt23L = 0; + CCTK_REAL const gt23L = 0; - gt33L = 1; + CCTK_REAL const gt33L = 1; - trKL = 0; + CCTK_REAL const trKL = 0; - At11L = 0; + CCTK_REAL const At11L = 0; - At12L = 0; + CCTK_REAL const At12L = 0; - At13L = 0; + CCTK_REAL const At13L = 0; - At22L = 0; + CCTK_REAL const At22L = 0; - At23L = 0; + CCTK_REAL const At23L = 0; - At33L = 0; + CCTK_REAL const At33L = 0; - Xt1L = 0; + CCTK_REAL const Xt1L = 0; - Xt2L = 0; + CCTK_REAL const Xt2L = 0; - Xt3L = 0; + CCTK_REAL const Xt3L = 0; - alphaL = 1; + CCTK_REAL const alphaL = 1; - AL = 0; + CCTK_REAL const AL = 0; - beta1L = 0; + CCTK_REAL const beta1L = 0; - beta2L = 0; + CCTK_REAL const beta2L = 0; - beta3L = 0; + CCTK_REAL const beta3L = 0; - B1L = 0; + CCTK_REAL const B1L = 0; - B2L = 0; + CCTK_REAL const B2L = 0; - B3L = 0; + CCTK_REAL const B3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c b/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c index ec81559..1c9b39b 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,411 +93,441 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - CCTK_REAL detgt = INITVALUE; - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - CCTK_REAL trR = INITVALUE; + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL T00 = INITVALUE, T01 = INITVALUE, T02 = INITVALUE, T03 = INITVALUE, T11 = INITVALUE, T12 = INITVALUE; + // CCTK_REAL T13 = INITVALUE, T22 = INITVALUE, T23 = INITVALUE, T33 = INITVALUE; + // CCTK_REAL trR = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL cAL = INITVALUE; - CCTK_REAL cSL = INITVALUE; - CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; - CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; - CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; - CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL HL = INITVALUE; - CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; - CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL cAL = INITVALUE; + // CCTK_REAL cSL = INITVALUE; + // CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; + // CCTK_REAL dJ111L = INITVALUE, dJ112L = INITVALUE, dJ113L = INITVALUE, dJ122L = INITVALUE, dJ123L = INITVALUE, dJ133L = INITVALUE; + // CCTK_REAL dJ211L = INITVALUE, dJ212L = INITVALUE, dJ213L = INITVALUE, dJ222L = INITVALUE, dJ223L = INITVALUE, dJ233L = INITVALUE; + // CCTK_REAL dJ311L = INITVALUE, dJ312L = INITVALUE, dJ313L = INITVALUE, dJ322L = INITVALUE, dJ323L = INITVALUE, dJ333L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1At11 = INITVALUE; - CCTK_REAL PDstandardNth2At11 = INITVALUE; - CCTK_REAL PDstandardNth3At11 = INITVALUE; - CCTK_REAL PDstandardNth1At12 = INITVALUE; - CCTK_REAL PDstandardNth2At12 = INITVALUE; - CCTK_REAL PDstandardNth3At12 = INITVALUE; - CCTK_REAL PDstandardNth1At13 = INITVALUE; - CCTK_REAL PDstandardNth2At13 = INITVALUE; - CCTK_REAL PDstandardNth3At13 = INITVALUE; - CCTK_REAL PDstandardNth1At22 = INITVALUE; - CCTK_REAL PDstandardNth2At22 = INITVALUE; - CCTK_REAL PDstandardNth3At22 = INITVALUE; - CCTK_REAL PDstandardNth1At23 = INITVALUE; - CCTK_REAL PDstandardNth2At23 = INITVALUE; - CCTK_REAL PDstandardNth3At23 = INITVALUE; - CCTK_REAL PDstandardNth1At33 = INITVALUE; - CCTK_REAL PDstandardNth2At33 = INITVALUE; - CCTK_REAL PDstandardNth3At33 = INITVALUE; - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth11gt11 = INITVALUE; - CCTK_REAL PDstandardNth22gt11 = INITVALUE; - CCTK_REAL PDstandardNth33gt11 = INITVALUE; - CCTK_REAL PDstandardNth12gt11 = INITVALUE; - CCTK_REAL PDstandardNth13gt11 = INITVALUE; - CCTK_REAL PDstandardNth23gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth11gt12 = INITVALUE; - CCTK_REAL PDstandardNth22gt12 = INITVALUE; - CCTK_REAL PDstandardNth33gt12 = INITVALUE; - CCTK_REAL PDstandardNth12gt12 = INITVALUE; - CCTK_REAL PDstandardNth13gt12 = INITVALUE; - CCTK_REAL PDstandardNth23gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth11gt13 = INITVALUE; - CCTK_REAL PDstandardNth22gt13 = INITVALUE; - CCTK_REAL PDstandardNth33gt13 = INITVALUE; - CCTK_REAL PDstandardNth12gt13 = INITVALUE; - CCTK_REAL PDstandardNth13gt13 = INITVALUE; - CCTK_REAL PDstandardNth23gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth11gt22 = INITVALUE; - CCTK_REAL PDstandardNth22gt22 = INITVALUE; - CCTK_REAL PDstandardNth33gt22 = INITVALUE; - CCTK_REAL PDstandardNth12gt22 = INITVALUE; - CCTK_REAL PDstandardNth13gt22 = INITVALUE; - CCTK_REAL PDstandardNth23gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth11gt23 = INITVALUE; - CCTK_REAL PDstandardNth22gt23 = INITVALUE; - CCTK_REAL PDstandardNth33gt23 = INITVALUE; - CCTK_REAL PDstandardNth12gt23 = INITVALUE; - CCTK_REAL PDstandardNth13gt23 = INITVALUE; - CCTK_REAL PDstandardNth23gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; - CCTK_REAL PDstandardNth11gt33 = INITVALUE; - CCTK_REAL PDstandardNth22gt33 = INITVALUE; - CCTK_REAL PDstandardNth33gt33 = INITVALUE; - CCTK_REAL PDstandardNth12gt33 = INITVALUE; - CCTK_REAL PDstandardNth13gt33 = INITVALUE; - CCTK_REAL PDstandardNth23gt33 = INITVALUE; - CCTK_REAL PDstandardNth1phi = INITVALUE; - CCTK_REAL PDstandardNth2phi = INITVALUE; - CCTK_REAL PDstandardNth3phi = INITVALUE; - CCTK_REAL PDstandardNth11phi = INITVALUE; - CCTK_REAL PDstandardNth22phi = INITVALUE; - CCTK_REAL PDstandardNth33phi = INITVALUE; - CCTK_REAL PDstandardNth12phi = INITVALUE; - CCTK_REAL PDstandardNth13phi = INITVALUE; - CCTK_REAL PDstandardNth23phi = INITVALUE; - CCTK_REAL PDstandardNth1trK = INITVALUE; - CCTK_REAL PDstandardNth2trK = INITVALUE; - CCTK_REAL PDstandardNth3trK = INITVALUE; - CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth1At11 = INITVALUE; + // CCTK_REAL PDstandardNth2At11 = INITVALUE; + // CCTK_REAL PDstandardNth3At11 = INITVALUE; + // CCTK_REAL PDstandardNth1At12 = INITVALUE; + // CCTK_REAL PDstandardNth2At12 = INITVALUE; + // CCTK_REAL PDstandardNth3At12 = INITVALUE; + // CCTK_REAL PDstandardNth1At13 = INITVALUE; + // CCTK_REAL PDstandardNth2At13 = INITVALUE; + // CCTK_REAL PDstandardNth3At13 = INITVALUE; + // CCTK_REAL PDstandardNth1At22 = INITVALUE; + // CCTK_REAL PDstandardNth2At22 = INITVALUE; + // CCTK_REAL PDstandardNth3At22 = INITVALUE; + // CCTK_REAL PDstandardNth1At23 = INITVALUE; + // CCTK_REAL PDstandardNth2At23 = INITVALUE; + // CCTK_REAL PDstandardNth3At23 = INITVALUE; + // CCTK_REAL PDstandardNth1At33 = INITVALUE; + // CCTK_REAL PDstandardNth2At33 = INITVALUE; + // CCTK_REAL PDstandardNth3At33 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - dJ111L = dJ111[index]; - dJ112L = dJ112[index]; - dJ113L = dJ113[index]; - dJ122L = dJ122[index]; - dJ123L = dJ123[index]; - dJ133L = dJ133[index]; - dJ211L = dJ211[index]; - dJ212L = dJ212[index]; - dJ213L = dJ213[index]; - dJ222L = dJ222[index]; - dJ223L = dJ223[index]; - dJ233L = dJ233[index]; - dJ311L = dJ311[index]; - dJ312L = dJ312[index]; - dJ313L = dJ313[index]; - dJ322L = dJ322[index]; - dJ323L = dJ323[index]; - dJ333L = dJ333[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - J11L = J11[index]; - J12L = J12[index]; - J13L = J13[index]; - J21L = J21[index]; - J22L = J22[index]; - J23L = J23[index]; - J31L = J31[index]; - J32L = J32[index]; - J33L = J33[index]; - phiL = phi[index]; - trKL = trK[index]; - Xt1L = Xt1[index]; - Xt2L = Xt2[index]; - Xt3L = Xt3[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const dJ111L = dJ111[index]; + CCTK_REAL const dJ112L = dJ112[index]; + CCTK_REAL const dJ113L = dJ113[index]; + CCTK_REAL const dJ122L = dJ122[index]; + CCTK_REAL const dJ123L = dJ123[index]; + CCTK_REAL const dJ133L = dJ133[index]; + CCTK_REAL const dJ211L = dJ211[index]; + CCTK_REAL const dJ212L = dJ212[index]; + CCTK_REAL const dJ213L = dJ213[index]; + CCTK_REAL const dJ222L = dJ222[index]; + CCTK_REAL const dJ223L = dJ223[index]; + CCTK_REAL const dJ233L = dJ233[index]; + CCTK_REAL const dJ311L = dJ311[index]; + CCTK_REAL const dJ312L = dJ312[index]; + CCTK_REAL const dJ313L = dJ313[index]; + CCTK_REAL const dJ322L = dJ322[index]; + CCTK_REAL const dJ323L = dJ323[index]; + CCTK_REAL const dJ333L = dJ333[index]; + CCTK_REAL const eTttL = (stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); - PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); - PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); - PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13))); - Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13))); - Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13))); - Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) + + CCTK_REAL const Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + 2*Gt223) + 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + 2*(Gt122*Gt213 + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + gt13L*(2*Gt213*Gt322 + Gt313*(4*Gt112 + 2*Gt323)) + @@ -550,7 +578,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + @@ -625,7 +653,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + @@ -700,7 +728,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + + CCTK_REAL const Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt123 + gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) + 2*(Gt113*gt12L*Gt323 + Gt312*(gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)) + @@ -748,7 +776,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + + CCTK_REAL const Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + @@ -821,7 +849,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L + Gt213*gt23L)*Gt323) + + CCTK_REAL const Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + 6*Gt313*Gt323)*gt33L + 2* (gt13L*(Gt122*Gt213 + Gt112*Gt223) + Gt213*(Gt223*gt22L + Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + @@ -872,24 +900,24 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + CCTK_REAL const cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + CCTK_REAL const cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + CCTK_REAL const cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + CCTK_REAL const cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* (J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + @@ -899,7 +927,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C J32L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - Gt312*J33L)*PDstandardNth3phi); - cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* + CCTK_REAL const cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)* (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + @@ -909,14 +937,14 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C J33L*(J21L*PDstandardNth23phi + J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - Gt313*J33L)*PDstandardNth3phi); - cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)* + CCTK_REAL const cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)* (J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + @@ -926,90 +954,121 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C J33L*(J22L*PDstandardNth23phi + J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - Gt323*J33L)*PDstandardNth3phi); - cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + + CCTK_REAL const cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + + CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + + CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + + CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + CCTK_REAL const gu11 = em4phi*gtu11; + + CCTK_REAL const gu21 = em4phi*gtu21; + + CCTK_REAL const gu31 = em4phi*gtu31; + + CCTK_REAL const gu22 = em4phi*gtu22; + + CCTK_REAL const gu32 = em4phi*gtu32; + + CCTK_REAL const gu33 = em4phi*gtu33; + + CCTK_REAL const R11 = Rphi11 + Rt11; + + CCTK_REAL const R12 = Rphi12 + Rt12; + + CCTK_REAL const R13 = Rphi13 + Rt13; + + CCTK_REAL const R22 = Rphi22 + Rt22; + + CCTK_REAL const R23 = Rphi23 + Rt23; + + CCTK_REAL const R33 = Rphi33 + Rt33; + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - em4phi = INV(e4phi); + CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - gu11 = em4phi*gtu11; + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - gu21 = em4phi*gtu21; + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - gu31 = em4phi*gtu31; + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - gu22 = em4phi*gtu22; + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - gu32 = em4phi*gtu32; + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - gu33 = em4phi*gtu33; + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - R11 = Rphi11 + Rt11; + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - R12 = Rphi12 + Rt12; + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - R13 = Rphi13 + Rt13; + CCTK_REAL const T00 = eTttL; - R22 = Rphi22 + Rt22; + CCTK_REAL const T01 = eTtxL; - R23 = Rphi23 + Rt23; + CCTK_REAL const T02 = eTtyL; - R33 = Rphi33 + Rt33; + CCTK_REAL const T03 = eTtzL; - trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + CCTK_REAL const T11 = eTxxL; - Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL const T12 = eTxyL; - Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL const T13 = eTxzL; - Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL const T22 = eTyyL; - Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL const T23 = eTyzL; - Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL const T33 = eTzzL; - Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL const rho = pow(alphaL,-2)*(T00 - 2*(beta2L*T02 + beta3L*T03) + + 2*(beta1L*(-T01 + beta2L*T12 + beta3L*T13) + beta2L*beta3L*T23) + T11*SQR(beta1L) + T22*SQR(beta2L) + + T33*SQR(beta3L)); - Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL const S1 = (-T01 + beta1L*T11 + beta2L*T12 + beta3L*T13)*INV(alphaL); - Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL const S2 = (-T02 + beta1L*T12 + beta2L*T22 + beta3L*T23)*INV(alphaL); - Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL const S3 = (-T03 + beta1L*T13 + beta2L*T23 + beta3L*T33)*INV(alphaL); - HL = -2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + trR - SQR(Atm11) - SQR(Atm22) - SQR(Atm33) + ktwothird*SQR(trKL); + CCTK_REAL const HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - 50.26548245743669181540229413247204614715*rho + trR - + 1.*(SQR(Atm11) + SQR(Atm22) + SQR(Atm33)) + 0.6666666666666666666666666666666666666667*SQR(trKL); - M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - At12L*Gt222*gtu22 - At23L*Gt312*gtu22 - At13L*Gt322*gtu22 + + CCTK_REAL const M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - At12L*Gt222*gtu22 - At23L*Gt312*gtu22 - At13L*Gt322*gtu22 + At12L*(6*cdphi1*gtu21 - Gt111*gtu21 + 6*cdphi2*gtu22) + At11L*(6*cdphi1*gtu11 - 2*Gt111*gtu11 + 6*cdphi2*gtu21 - Gt122*gtu22) + 6*At13L*cdphi1*gtu31 + 6*At11L*cdphi3*gtu31 - At13L*Gt111*gtu31 - 3*At11L*Gt113*gtu31 - At23L*Gt211*gtu31 - 3*At12L*Gt213*gtu31 - @@ -1027,9 +1086,9 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C J21L*ktwothird*PDstandardNth2trK + gtu11*J31L*PDstandardNth3At11 + gtu21*J32L*PDstandardNth3At11 + gtu31*J33L*PDstandardNth3At11 + gtu21*J31L*PDstandardNth3At12 + gtu22*J32L*PDstandardNth3At12 + gtu32*J33L*PDstandardNth3At12 + gtu31*J31L*PDstandardNth3At13 + gtu32*J32L*PDstandardNth3At13 + - gtu33*J33L*PDstandardNth3At13 - J31L*ktwothird*PDstandardNth3trK; + gtu33*J33L*PDstandardNth3At13 - J31L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S1; - M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - At12L*Gt212*gtu11 - At23L*Gt311*gtu11 - At13L*Gt312*gtu11 + + CCTK_REAL const M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - At12L*Gt212*gtu11 - At23L*Gt311*gtu11 - At13L*Gt312*gtu11 + At12L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At22L*cdphi1*gtu21 + 6*At12L*cdphi2*gtu21 - 3*At12L*Gt112*gtu21 - At11L*Gt122*gtu21 - 3*At22L*Gt212*gtu21 - At12L*Gt222*gtu21 - 3*At23L*Gt312*gtu21 - At13L*Gt322*gtu21 + 6*At22L*cdphi2*gtu22 - 2*At12L*Gt122*gtu22 - 2*At22L*Gt222*gtu22 - 2*At23L*Gt322*gtu22 + 6*At23L*cdphi1*gtu31 + @@ -1047,9 +1106,9 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C gtu11*J31L*PDstandardNth3At12 + gtu21*J32L*PDstandardNth3At12 + gtu31*J33L*PDstandardNth3At12 + gtu21*J31L*PDstandardNth3At22 + gtu22*J32L*PDstandardNth3At22 + gtu32*J33L*PDstandardNth3At22 + gtu31*J31L*PDstandardNth3At23 + gtu32*J32L*PDstandardNth3At23 + gtu33*J33L*PDstandardNth3At23 - - J32L*ktwothird*PDstandardNth3trK; + J32L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S2; - M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - At12L*Gt213*gtu11 - At33L*Gt311*gtu11 - At13L*Gt313*gtu11 + + CCTK_REAL const M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - At12L*Gt213*gtu11 - At33L*Gt311*gtu11 - At13L*Gt313*gtu11 + At13L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At23L*cdphi1*gtu21 + 6*At13L*cdphi2*gtu21 - 2*At13L*Gt112*gtu21 - At12L*Gt113*gtu21 - At11L*Gt123*gtu21 - 2*At23L*Gt212*gtu21 - At22L*Gt213*gtu21 - At12L*Gt223*gtu21 - 2*At33L*Gt312*gtu21 - At23L*Gt313*gtu21 - At13L*Gt323*gtu21 + 6*At23L*cdphi2*gtu22 - At13L*Gt122*gtu22 - @@ -1067,17 +1126,17 @@ void ML_BSSN_MP_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, C gtu11*J31L*PDstandardNth3At13 + gtu21*J32L*PDstandardNth3At13 + gtu31*J33L*PDstandardNth3At13 + gtu21*J31L*PDstandardNth3At23 + gtu22*J32L*PDstandardNth3At23 + gtu32*J33L*PDstandardNth3At23 + gtu31*J31L*PDstandardNth3At33 + gtu32*J32L*PDstandardNth3At33 + gtu33*J33L*PDstandardNth3At33 - - J33L*ktwothird*PDstandardNth3trK; + J33L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - cSL = Log(detgt); + CCTK_REAL const cSL = Log(detgt); - cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; + CCTK_REAL const cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; - cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; + CCTK_REAL const cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; - cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; + CCTK_REAL const cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; - cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL const cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c index efa3750..9693637 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_constraints_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT con /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,16 +93,16 @@ void ML_BSSN_MP_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT con i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL HL = INITVALUE; - CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -120,13 +118,13 @@ void ML_BSSN_MP_constraints_boundary_Body(cGH const * const cctkGH, CCTK_INT con /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - HL = 0; + CCTK_REAL const HL = 0; - M1L = 0; + CCTK_REAL const M1L = 0; - M2L = 0; + CCTK_REAL const M2L = 0; - M3L = 0; + CCTK_REAL const M3L = 0; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c index d64668c..2601733 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertFromADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,65 +93,62 @@ void ML_BSSN_MP_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detg = INITVALUE; - CCTK_REAL em4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; + // CCTK_REAL detg = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL etaL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alpL = alp[index]; - betaxL = betax[index]; - betayL = betay[index]; - betazL = betaz[index]; - gxxL = gxx[index]; - gxyL = gxy[index]; - gxzL = gxz[index]; - gyyL = gyy[index]; - gyzL = gyz[index]; - gzzL = gzz[index]; - kxxL = kxx[index]; - kxyL = kxy[index]; - kxzL = kxz[index]; - kyyL = kyy[index]; - kyzL = kyz[index]; - kzzL = kzz[index]; - phiL = phi[index]; - trKL = trK[index]; + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; /* Assign local copies of subblock grid functions */ @@ -164,83 +159,71 @@ void ML_BSSN_MP_convertFromADMBase_Body(cGH const * const cctkGH, CCTK_INT const /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - g11 = gxxL; - - g12 = gxyL; - - g13 = gxzL; - - g22 = gyyL; - - g23 = gyzL; - - g33 = gzzL; - - detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); + CCTK_REAL const g11 = gxxL; - gu11 = INV(detg)*(g22*g33 - SQR(g23)); + CCTK_REAL const g12 = gxyL; - gu21 = (g13*g23 - g12*g33)*INV(detg); + CCTK_REAL const g13 = gxzL; - gu31 = (-(g13*g22) + g12*g23)*INV(detg); + CCTK_REAL const g22 = gyyL; - gu22 = INV(detg)*(g11*g33 - SQR(g13)); + CCTK_REAL const g23 = gyzL; - gu32 = (g12*g13 - g11*g23)*INV(detg); + CCTK_REAL const g33 = gzzL; - gu33 = INV(detg)*(g11*g22 - SQR(g12)); + CCTK_REAL const detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); - phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + CCTK_REAL const gu11 = INV(detg)*(g22*g33 - SQR(g23)); - em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL const gu21 = (g13*g23 - g12*g33)*INV(detg); - gt11L = em4phi*g11; + CCTK_REAL const gu31 = (-(g13*g22) + g12*g23)*INV(detg); - gt12L = em4phi*g12; + CCTK_REAL const gu22 = INV(detg)*(g11*g33 - SQR(g13)); - gt13L = em4phi*g13; + CCTK_REAL const gu32 = (g12*g13 - g11*g23)*INV(detg); - gt22L = em4phi*g22; + CCTK_REAL const gu33 = INV(detg)*(g11*g22 - SQR(g12)); - gt23L = em4phi*g23; + CCTK_REAL const phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - gt33L = em4phi*g33; + CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - K11 = kxxL; + CCTK_REAL const gt11L = em4phi*g11; - K12 = kxyL; + CCTK_REAL const gt12L = em4phi*g12; - K13 = kxzL; + CCTK_REAL const gt13L = em4phi*g13; - K22 = kyyL; + CCTK_REAL const gt22L = em4phi*g22; - K23 = kyzL; + CCTK_REAL const gt23L = em4phi*g23; - K33 = kzzL; + CCTK_REAL const gt33L = em4phi*g33; - trKL = gu11*K11 + gu22*K22 + 2*(gu21*K12 + gu31*K13 + gu32*K23) + gu33*K33; + CCTK_REAL const trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + gu33*kzzL; - At11L = em4phi*(K11 - g11*kthird*trKL); + CCTK_REAL const At11L = em4phi*(kxxL - g11*kthird*trKL); - At12L = em4phi*(K12 - g12*kthird*trKL); + CCTK_REAL const At12L = em4phi*(kxyL - g12*kthird*trKL); - At13L = em4phi*(K13 - g13*kthird*trKL); + CCTK_REAL const At13L = em4phi*(kxzL - g13*kthird*trKL); - At22L = em4phi*(K22 - g22*kthird*trKL); + CCTK_REAL const At22L = em4phi*(kyyL - g22*kthird*trKL); - At23L = em4phi*(K23 - g23*kthird*trKL); + CCTK_REAL const At23L = em4phi*(kyzL - g23*kthird*trKL); - At33L = em4phi*(K33 - g33*kthird*trKL); + CCTK_REAL const At33L = em4phi*(kzzL - g33*kthird*trKL); - alphaL = alpL; + CCTK_REAL const alphaL = alpL; - beta1L = betaxL; + CCTK_REAL const beta1L = betaxL; - beta2L = betayL; + CCTK_REAL const beta2L = betayL; - beta3L = betazL; + CCTK_REAL const beta3L = betazL; - etaL = BetaDriver; + CCTK_REAL const etaL = BetaDriver; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c index b89269c..68f9ce1 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,282 +93,288 @@ void ML_BSSN_MP_convertFromADMBaseGamma_Body(cGH const * const cctkGH, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; - CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; - CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1gt11 = INITVALUE; - CCTK_REAL PDstandardNth2gt11 = INITVALUE; - CCTK_REAL PDstandardNth3gt11 = INITVALUE; - CCTK_REAL PDstandardNth1gt12 = INITVALUE; - CCTK_REAL PDstandardNth2gt12 = INITVALUE; - CCTK_REAL PDstandardNth3gt12 = INITVALUE; - CCTK_REAL PDstandardNth1gt13 = INITVALUE; - CCTK_REAL PDstandardNth2gt13 = INITVALUE; - CCTK_REAL PDstandardNth3gt13 = INITVALUE; - CCTK_REAL PDstandardNth1gt22 = INITVALUE; - CCTK_REAL PDstandardNth2gt22 = INITVALUE; - CCTK_REAL PDstandardNth3gt22 = INITVALUE; - CCTK_REAL PDstandardNth1gt23 = INITVALUE; - CCTK_REAL PDstandardNth2gt23 = INITVALUE; - CCTK_REAL PDstandardNth3gt23 = INITVALUE; - CCTK_REAL PDstandardNth1gt33 = INITVALUE; - CCTK_REAL PDstandardNth2gt33 = INITVALUE; - CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; /* Assign local copies of grid functions */ - alphaL = alpha[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - dtalpL = dtalp[index]; - dtbetaxL = dtbetax[index]; - dtbetayL = dtbetay[index]; - dtbetazL = dtbetaz[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - J11L = J11[index]; - J12L = J12[index]; - J13L = J13[index]; - J21L = J21[index]; - J22L = J22[index]; - J23L = J23[index]; - J31L = J31[index]; - J32L = J32[index]; - J33L = J33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const dtalpL = dtalp[index]; + CCTK_REAL const dtbetaxL = dtbetax[index]; + CCTK_REAL const dtbetayL = dtbetay[index]; + CCTK_REAL const dtbetazL = dtbetaz[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13))); - Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13))); - Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + + CCTK_REAL const Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13))); - Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + CCTK_REAL const Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + CCTK_REAL const Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + CCTK_REAL const Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + CCTK_REAL const Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + CCTK_REAL const Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL const Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL const Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL const Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); + CCTK_REAL const AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - B1L = IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth1(beta1, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth1(beta1, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth1(beta1, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth2(beta1, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth2(beta1, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth2(beta1, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth3(beta1, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetaxL - PDupwindNth3(beta1, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetaxL - PDupwindNth3(beta1, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* + CCTK_REAL const B1L = IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth1(betax, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth1(betax, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth1(betax, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth2(betax, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth2(betax, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth2(betax, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth3(betax, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* INV(ShiftGammaCoeff),0); - B2L = IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth1(beta2, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth1(beta2, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth1(beta2, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth2(beta2, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth2(beta2, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth2(beta2, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth3(beta2, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetayL - PDupwindNth3(beta2, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetayL - PDupwindNth3(beta2, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* + CCTK_REAL const B2L = IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth1(betay, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth1(betay, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth1(betay, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth2(betay, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth2(betay, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth2(betay, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth3(betay, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* INV(ShiftGammaCoeff),0); - B3L = IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth1(beta3, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth1(beta3, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth1(beta3, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth2(beta3, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth2(beta3, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth2(beta3, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth3(beta3, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff, - (dtbetazL - PDupwindNth3(beta3, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff,(dtbetazL - PDupwindNth3(beta3, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* + CCTK_REAL const B3L = IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth1(betaz, i, j, k)*beta1L*J11L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth1(betaz, i, j, k)*beta2L*J12L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth1(betaz, i, j, k)*beta3L*J13L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth2(betaz, i, j, k)*beta1L*J21L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth2(betaz, i, j, k)*beta2L*J22L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth2(betaz, i, j, k)*beta3L*J23L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, k)*beta1L*J31L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth3(betaz, i, j, k)*beta2L*J32L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, k)*beta3L*J33L*ShiftAdvectionCoeff)* INV(ShiftGammaCoeff),0); diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c index 2ed4725..e157361 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const d /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,62 +93,60 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const d i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL e4phi = INITVALUE; - CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alpL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL betaxL = INITVALUE; - CCTK_REAL betayL = INITVALUE; - CCTK_REAL betazL = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - CCTK_REAL gxxL = INITVALUE; - CCTK_REAL gxyL = INITVALUE; - CCTK_REAL gxzL = INITVALUE; - CCTK_REAL gyyL = INITVALUE; - CCTK_REAL gyzL = INITVALUE; - CCTK_REAL gzzL = INITVALUE; - CCTK_REAL kxxL = INITVALUE; - CCTK_REAL kxyL = INITVALUE; - CCTK_REAL kxzL = INITVALUE; - CCTK_REAL kyyL = INITVALUE; - CCTK_REAL kyzL = INITVALUE; - CCTK_REAL kzzL = INITVALUE; - CCTK_REAL phiL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; - phiL = phi[index]; - trKL = trK[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -161,63 +157,39 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * const cctkGH, CCTK_INT const d /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - g11 = e4phi*gt11L; - - g12 = e4phi*gt12L; - - g13 = e4phi*gt13L; - - g22 = e4phi*gt22L; - - g23 = e4phi*gt23L; - - g33 = e4phi*gt33L; - - gxxL = g11; - - gxyL = g12; - - gxzL = g13; - - gyyL = g22; - - gyzL = g23; - - gzzL = g33; + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - K11 = At11L*e4phi + g11*kthird*trKL; + CCTK_REAL const gxxL = e4phi*gt11L; - K12 = At12L*e4phi + g12*kthird*trKL; + CCTK_REAL const gxyL = e4phi*gt12L; - K13 = At13L*e4phi + g13*kthird*trKL; + CCTK_REAL const gxzL = e4phi*gt13L; - K22 = At22L*e4phi + g22*kthird*trKL; + CCTK_REAL const gyyL = e4phi*gt22L; - K23 = At23L*e4phi + g23*kthird*trKL; + CCTK_REAL const gyzL = e4phi*gt23L; - K33 = At33L*e4phi + g33*kthird*trKL; + CCTK_REAL const gzzL = e4phi*gt33L; - kxxL = K11; + CCTK_REAL const kxxL = At11L*e4phi + gxxL*kthird*trKL; - kxyL = K12; + CCTK_REAL const kxyL = At12L*e4phi + gxyL*kthird*trKL; - kxzL = K13; + CCTK_REAL const kxzL = At13L*e4phi + gxzL*kthird*trKL; - kyyL = K22; + CCTK_REAL const kyyL = At22L*e4phi + gyyL*kthird*trKL; - kyzL = K23; + CCTK_REAL const kyzL = At23L*e4phi + gyzL*kthird*trKL; - kzzL = K33; + CCTK_REAL const kzzL = At33L*e4phi + gzzL*kthird*trKL; - alpL = alphaL; + CCTK_REAL const alpL = alphaL; - betaxL = beta1L; + CCTK_REAL const betaxL = beta1L; - betayL = beta2L; + CCTK_REAL const betayL = beta2L; - betazL = beta3L; + CCTK_REAL const betazL = beta3L; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c index c749f46..980d32e 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,49 +93,49 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; - CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL J11L = INITVALUE, J12L = INITVALUE, J13L = INITVALUE, J21L = INITVALUE, J22L = INITVALUE, J23L = INITVALUE; + // CCTK_REAL J31L = INITVALUE, J32L = INITVALUE, J33L = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - beta1L = beta1[index]; - beta2L = beta2[index]; - beta3L = beta3[index]; - J11L = J11[index]; - J12L = J12[index]; - J13L = J13[index]; - J21L = J21[index]; - J22L = J22[index]; - J23L = J23[index]; - J31L = J31[index]; - J32L = J32[index]; - J33L = J33[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const J11L = J11[index]; + CCTK_REAL const J12L = J12[index]; + CCTK_REAL const J13L = J13[index]; + CCTK_REAL const J21L = J21[index]; + CCTK_REAL const J22L = J22[index]; + CCTK_REAL const J23L = J23[index]; + CCTK_REAL const J31L = J31[index]; + CCTK_REAL const J32L = J32[index]; + CCTK_REAL const J33L = J33[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -148,28 +146,28 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShift_Body(cGH const * const cctkGH, CCTK /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dir1 = Sign(beta1L); + int const dir1 = Sign(beta1L); - dir2 = Sign(beta2L); + int const dir2 = Sign(beta2L); - dir3 = Sign(beta3L); + int const dir3 = Sign(beta3L); - dtalpL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const dtalpL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(alpha, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(alpha, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*LapseAdvectionCoeff + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const dtbetaxL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta1, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta1, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - dtbetayL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const dtbetayL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta2, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta2, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - dtbetazL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + + CCTK_REAL const dtbetazL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta3, i, j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta3, i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c index 8f052ad..6b28af1 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctk /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,33 +93,33 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctk i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -132,13 +130,13 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * const cctk /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; - dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; - dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c index aab9eae..a124836 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,33 +93,33 @@ void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL AL = INITVALUE; - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - CCTK_REAL dtalpL = INITVALUE; - CCTK_REAL dtbetaxL = INITVALUE; - CCTK_REAL dtbetayL = INITVALUE; - CCTK_REAL dtbetazL = INITVALUE; - CCTK_REAL trKL = INITVALUE; + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - AL = A[index]; - alphaL = alpha[index]; - B1L = B1[index]; - B2L = B2[index]; - B3L = B3[index]; - trKL = trK[index]; + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; /* Assign local copies of subblock grid functions */ @@ -132,13 +130,13 @@ void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * const cctkGH, /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; - dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; - dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c index d32fc26..31657ba 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,38 +93,39 @@ void ML_BSSN_MP_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ - CCTK_REAL detgt = INITVALUE; - CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - CCTK_REAL trAt = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL trAt = INITVALUE; /* Declare local copies of grid functions */ - CCTK_REAL alphaL = INITVALUE; - CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - alphaL = alpha[index]; - At11L = At11[index]; - At12L = At12[index]; - At13L = At13[index]; - At22L = At22[index]; - At23L = At23[index]; - At33L = At33[index]; - gt11L = gt11[index]; - gt12L = gt12[index]; - gt13L = gt13[index]; - gt22L = gt22[index]; - gt23L = gt23[index]; - gt33L = gt33[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; /* Assign local copies of subblock grid functions */ @@ -137,45 +136,45 @@ void ML_BSSN_MP_enforce_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_ /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - detgt = 1; + CCTK_REAL const detgt = 1; - gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL const trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; - At11L = At11L - gt11L*kthird*trAt; + CCTK_REAL const At11rhsL = At11L - gt11L*kthird*trAt; - At12L = At12L - gt12L*kthird*trAt; + CCTK_REAL const At12rhsL = At12L - gt12L*kthird*trAt; - At13L = At13L - gt13L*kthird*trAt; + CCTK_REAL const At13rhsL = At13L - gt13L*kthird*trAt; - At22L = At22L - gt22L*kthird*trAt; + CCTK_REAL const At22rhsL = At22L - gt22L*kthird*trAt; - At23L = At23L - gt23L*kthird*trAt; + CCTK_REAL const At23rhsL = At23L - gt23L*kthird*trAt; - At33L = At33L - gt33L*kthird*trAt; + CCTK_REAL const At33rhsL = At33L - gt33L*kthird*trAt; - alphaL = fmax(alphaL,MinimumLapse); + CCTK_REAL const alpharhsL = fmax(alphaL,MinimumLapse); /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; + alpharhs[index] = alpharhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; /* Copy local copies back to subblock grid functions */ } diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_enforce2.c b/ML_BSSN_MP/src/ML_BSSN_MP_enforce2.c new file mode 100644 index 0000000..a1a01c4 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_enforce2.c @@ -0,0 +1,164 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "loopcontrol.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define INV(x) ((1.0) / (x)) +#define SQR(x) ((x) * (x)) +#define CUB(x) ((x) * (x) * (x)) +#define QAD(x) ((x) * (x) * (x) * (x)) + +void ML_BSSN_MP_enforce2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_enforce2_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_enforce2_calc_every != ML_BSSN_MP_enforce2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_MP_enforce2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const alpharhsL = alpharhs[index]; + CCTK_REAL const At11rhsL = At11rhs[index]; + CCTK_REAL const At12rhsL = At12rhs[index]; + CCTK_REAL const At13rhsL = At13rhs[index]; + CCTK_REAL const At22rhsL = At22rhs[index]; + CCTK_REAL const At23rhsL = At23rhs[index]; + CCTK_REAL const At33rhsL = At33rhs[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const At11L = At11rhsL; + + CCTK_REAL const At12L = At12rhsL; + + CCTK_REAL const At13L = At13rhsL; + + CCTK_REAL const At22L = At22rhsL; + + CCTK_REAL const At23L = At23rhsL; + + CCTK_REAL const At33L = At33rhsL; + + CCTK_REAL const alphaL = alpharhsL; + + + /* Copy local copies back to grid functions */ + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_MP_enforce2); +} + +void ML_BSSN_MP_enforce2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_enforce2_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_setBetaDriver.c b/ML_BSSN_MP/src/ML_BSSN_MP_setBetaDriver.c index bc24ee7..ec8e6c4 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_setBetaDriver.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_setBetaDriver.c @@ -20,32 +20,27 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void ML_BSSN_MP_setBetaDriver_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL p1odx = INITVALUE; - CCTK_REAL p1ody = INITVALUE; - CCTK_REAL p1odz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -60,34 +55,37 @@ void ML_BSSN_MP_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - p1odx = INV(dx); - p1ody = INV(dy); - p1odz = INV(dz); - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -95,23 +93,22 @@ void ML_BSSN_MP_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL etaL = INITVALUE; - CCTK_REAL rL = INITVALUE; + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL rL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - etaL = eta[index]; - rL = r[index]; + CCTK_REAL const rL = r[index]; /* Assign local copies of subblock grid functions */ @@ -122,7 +119,7 @@ void ML_BSSN_MP_setBetaDriver_Body(cGH const * const cctkGH, CCTK_INT const dir, /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - etaL = etaL*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); + CCTK_REAL const etaL = BetaDriver*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); /* Copy local copies back to grid functions */ diff --git a/ML_BSSN_MP/src/make.code.defn b/ML_BSSN_MP/src/make.code.defn index ed62c1a..d89c879 100644 --- a/ML_BSSN_MP/src/make.code.defn +++ b/ML_BSSN_MP/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.c ML_BSSN_MP_convertFromADMBase.c ML_BSSN_MP_convertFromADMBaseGamma.c ML_BSSN_MP_setBetaDriver.c ML_BSSN_MP_RHS.c ML_BSSN_MP_RHSStaticBoundary.c ML_BSSN_MP_RHSRadiativeBoundary.c ML_BSSN_MP_enforce.c ML_BSSN_MP_boundary.c ML_BSSN_MP_convertToADMBase.c ML_BSSN_MP_convertToADMBaseDtLapseShift.c ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_constraints.c ML_BSSN_MP_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.c ML_BSSN_MP_convertFromADMBase.c ML_BSSN_MP_convertFromADMBaseGamma.c ML_BSSN_MP_setBetaDriver.c ML_BSSN_MP_RHS.c ML_BSSN_MP_RHS1.c ML_BSSN_MP_RHS2.c ML_BSSN_MP_RHSStaticBoundary.c ML_BSSN_MP_RHSRadiativeBoundary.c ML_BSSN_MP_enforce.c ML_BSSN_MP_enforce2.c ML_BSSN_MP_boundary.c ML_BSSN_MP_convertToADMBase.c ML_BSSN_MP_convertToADMBaseDtLapseShift.c ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_constraints.c ML_BSSN_MP_constraints_boundary.c Boundaries.c diff --git a/ML_BSSN_MP_Helper/schedule.ccl b/ML_BSSN_MP_Helper/schedule.ccl index fde3844..cfec9cd 100644 --- a/ML_BSSN_MP_Helper/schedule.ccl +++ b/ML_BSSN_MP_Helper/schedule.ccl @@ -87,9 +87,11 @@ if (CCTK_EQUALS (evolution_method, "ML_BSSN_MP")) { SCHEDULE ML_BSSN_MP_ExtrapolateGammas AT initial AFTER ML_BSSN_MP_convertFromADMBaseGamma { LANG: C - SYNC: ML_Gamma - SYNC: ML_dtlapse - SYNC: ML_dtshift + # We don't need to synchronise here because extrapolation is now filling + # ghost zones + #SYNC: ML_Gamma + #SYNC: ML_dtlapse + #SYNC: ML_dtshift } "Extrapolate Gammas and time derivatives of lapse and shift" } @@ -114,6 +116,12 @@ if (CCTK_EQUALS (evolution_method, "ML_BSSN_MP")) { SCHEDULE GROUP ML_BSSN_MP_convertToADMBaseGroup IN ML_BSSN_MP_convertToADMBaseGroupWrapper { + #SYNC: ADMBase::metric + #SYNC: ADMBase::curv + #SYNC: ADMBase::lapse + #SYNC: ADMBase::shift + #SYNC: ADMBase::dtlapse + #SYNC: ADMBase::dtshift } "Calculate ADM variables" if (CCTK_EQUALS (calculate_ADMBase_variables_at, "MoL_PostStep")) diff --git a/ML_BSSN_MP_Helper/src/CopyADMBase.c b/ML_BSSN_MP_Helper/src/CopyADMBase.c deleted file mode 100644 index 0bc5ea2..0000000 --- a/ML_BSSN_MP_Helper/src/CopyADMBase.c +++ /dev/null @@ -1,50 +0,0 @@ -#include <stdlib.h> -#include <string.h> - -#include <cctk.h> -#include <cctk_Arguments.h> - -static void -copy (cGH const * restrict cctkGH, - CCTK_REAL * restrict dst, CCTK_REAL const * restrict src); - -void -ML_BSSN_MP_CopyADMBase (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - copy (cctkGH, gxx, gxx_p); - copy (cctkGH, gxy, gxx_p); - copy (cctkGH, gxz, gxx_p); - copy (cctkGH, gyy, gxx_p); - copy (cctkGH, gyz, gxx_p); - copy (cctkGH, gzz, gxx_p); - - copy (cctkGH, kxx, gxx_p); - copy (cctkGH, kxy, gxx_p); - copy (cctkGH, kxz, gxx_p); - copy (cctkGH, kyy, gxx_p); - copy (cctkGH, kyz, gxx_p); - copy (cctkGH, kzz, gxx_p); - - copy (cctkGH, alp, alp_p); - - copy (cctkGH, betax, betax_p); - copy (cctkGH, betay, betay_p); - copy (cctkGH, betaz, betaz_p); - - copy (cctkGH, dtalp, dtalp_p); - - copy (cctkGH, dtbetax, dtbetax_p); - copy (cctkGH, dtbetay, dtbetay_p); - copy (cctkGH, dtbetaz, dtbetaz_p); -} - -static void -copy (cGH const * restrict const cctkGH, - CCTK_REAL * restrict const dst, CCTK_REAL const * restrict const src) -{ - size_t const npoints = - (size_t) cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[1] * cctkGH->cctk_lsh[2]; - memcpy (dst, src, npoints * sizeof *dst); -} diff --git a/ML_BSSN_MP_Helper/src/SetGroupTags.c b/ML_BSSN_MP_Helper/src/SetGroupTags.c index 8411824..652a1f5 100644 --- a/ML_BSSN_MP_Helper/src/SetGroupTags.c +++ b/ML_BSSN_MP_Helper/src/SetGroupTags.c @@ -5,7 +5,9 @@ #include <assert.h> static void -set_group_tags (int const checkpoint, int const prolongate, +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, char const * restrict const gn); int @@ -13,35 +15,39 @@ ML_BSSN_MP_SetGroupTags (void) { DECLARE_CCTK_PARAMETERS; - set_group_tags (0, 1, "ADMBase::metric"); - set_group_tags (0, 1, "ADMBase::curv"); - set_group_tags (0, 1, "ADMBase::lapse"); - set_group_tags (0, 1, "ADMBase::shift"); - set_group_tags (0, 1, "ADMBase::dtlapse"); - set_group_tags (0, 1, "ADMBase::dtshift"); + set_group_tags (0, 0, 1, "ADMBase::metric"); + set_group_tags (0, 0, 1, "ADMBase::curv"); + set_group_tags (0, 0, 1, "ADMBase::lapse"); + set_group_tags (0, 0, 1, "ADMBase::shift"); + set_group_tags (0, 0, 1, "ADMBase::dtlapse"); + set_group_tags (0, 0, 1, "ADMBase::dtshift"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_cons_detg"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_cons_Gamma"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_cons_traceA"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_Ham"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_mom"); - set_group_tags (0, 0, "ML_BSSN_MP::ML_curvrhs"); + set_group_tags (0, 0, 0, "ML_BSSN_MP::ML_cons_detg"); + set_group_tags (0, 0, 0, "ML_BSSN_MP::ML_cons_Gamma"); + set_group_tags (0, 0, 0, "ML_BSSN_MP::ML_cons_traceA"); + set_group_tags (0, 0, 0, "ML_BSSN_MP::ML_Ham"); + set_group_tags (0, 0, 0, "ML_BSSN_MP::ML_mom"); + + set_group_tags (0, 1, 0, "ML_BSSN_MP::ML_BetaDriver"); int const checkpoint = rhs_timelevels > 1; - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_dtlapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_dtshiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_Gammarhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_lapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_log_confacrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_metricrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_shiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_MP::ML_trace_curvrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_dtlapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_dtshiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_Gammarhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_lapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_log_confacrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_metricrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_shiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_trace_curvrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_MP::ML_curvrhs"); return 0; } static void -set_group_tags (int const checkpoint, int const prolongate, +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, char const * restrict const gn) { assert (gn); @@ -53,17 +59,17 @@ set_group_tags (int const checkpoint, int const prolongate, assert (table >= 0); if (! checkpoint) { - int ierr; - ierr = Util_TableSetString (table, "no", "Checkpoint"); + int const ierr = Util_TableSetString (table, "no", "Checkpoint"); assert (! ierr); - - ierr = Util_TableSetString (table, "no", "Persistent"); + } + + if (! persistent) { + int const ierr = Util_TableSetString (table, "no", "Persistent"); assert (! ierr); } if (! prolongate) { - int ierr; - ierr = Util_TableSetString (table, "none", "Prolongation"); + int const ierr = Util_TableSetString (table, "none", "Prolongation"); assert (! ierr); } } diff --git a/ML_BSSN_MP_Helper/src/make.code.defn b/ML_BSSN_MP_Helper/src/make.code.defn index 2625d6c..a3ac433 100644 --- a/ML_BSSN_MP_Helper/src/make.code.defn +++ b/ML_BSSN_MP_Helper/src/make.code.defn @@ -1,3 +1,2 @@ # -*-Makefile-*- SRCS = ExtrapolateGammas.c NewRad.c RegisterConstrained.c RegisterSlicing.c SelectBCsADMBase.c SetGroupTags.c -# CopyADMBase.c diff --git a/ML_BSSN_M_Helper/configuration.ccl b/ML_BSSN_M_Helper/configuration.ccl deleted file mode 100644 index edaa5b7..0000000 --- a/ML_BSSN_M_Helper/configuration.ccl +++ /dev/null @@ -1 +0,0 @@ -REQUIRES THORNS: CartGrid3D CoordGauge diff --git a/ML_BSSN_M_Helper/interface.ccl b/ML_BSSN_M_Helper/interface.ccl deleted file mode 100644 index f76bc54..0000000 --- a/ML_BSSN_M_Helper/interface.ccl +++ /dev/null @@ -1,37 +0,0 @@ -IMPLEMENTS: ML_BSSN_M_Helper - -INHERITS: ADMBase CoordGauge ML_BSSN_M - -USES INCLUDE: Symmetry.h - - - -CCTK_INT FUNCTION MoLRegisterConstrainedGroup \ - (CCTK_INT IN ConstrainedIndex) -USES FUNCTION MoLRegisterConstrainedGroup - -CCTK_INT FUNCTION \ - Boundary_SelectGroupForBC \ - (CCTK_POINTER_TO_CONST IN cctkGH, \ - CCTK_INT IN faces, \ - CCTK_INT IN boundary_width, \ - CCTK_INT IN table_handle, \ - CCTK_STRING IN group_name, \ - CCTK_STRING IN bc_name) -USES FUNCTION Boundary_SelectGroupForBC - -CCTK_INT FUNCTION \ - ExtrapolateGammas \ - (CCTK_POINTER_TO_CONST IN cctkGH, \ - CCTK_REAL ARRAY INOUT var) -USES FUNCTION ExtrapolateGammas - -CCTK_INT FUNCTION \ - NewRad_Apply \ - (CCTK_POINTER_TO_CONST IN cctkGH, \ - CCTK_REAL ARRAY IN var, \ - CCTK_REAL ARRAY INOUT rhs, \ - CCTK_REAL IN var0, \ - CCTK_REAL IN v0, \ - CCTK_INT IN radpower) -USES FUNCTION NewRad_Apply diff --git a/ML_BSSN_M_Helper/param.ccl b/ML_BSSN_M_Helper/param.ccl deleted file mode 100644 index 4496285..0000000 --- a/ML_BSSN_M_Helper/param.ccl +++ /dev/null @@ -1,39 +0,0 @@ -SHARES: Boundary - -USES CCTK_INT radpower - -SHARES: MethodofLines - -USES CCTK_INT MoL_Num_Constrained_Vars - -SHARES: ADMBase - -USES KEYWORD evolution_method - -SHARES: GenericFD - -USES CCTK_INT boundary_width - -SHARES: ML_BSSN_M - -USES CCTK_INT timelevels -USES CCTK_INT rhs_timelevels -USES KEYWORD calculate_ADMBase_variables_at - -USES CCTK_REAL harmonicF - -EXTENDS KEYWORD my_initial_boundary_condition -{ - "extrapolate-gammas" :: "extrapolate-gammas" -} -EXTENDS KEYWORD my_rhs_boundary_condition -{ - "NewRad" :: "NewRad" -} - -PRIVATE: - -CCTK_INT ML_BSSN_M_MaxNumConstrainedVars "Number of constrained variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Constrained_Vars -{ - 20:20 :: "Number of constrained variables used by this thorn" -} 20 diff --git a/ML_BSSN_M_Helper/schedule.ccl b/ML_BSSN_M_Helper/schedule.ccl deleted file mode 100644 index ba739c5..0000000 --- a/ML_BSSN_M_Helper/schedule.ccl +++ /dev/null @@ -1,158 +0,0 @@ -if (CCTK_EQUALS (evolution_method, "ML_BSSN_M")) { - - if (timelevels == 1) { - STORAGE: ADMBase::metric[1] - STORAGE: ADMBase::curv[1] - STORAGE: ADMBase::lapse[1] - STORAGE: ADMBase::shift[1] - STORAGE: ADMBase::dtlapse[1] - STORAGE: ADMBase::dtshift[1] - } else if (timelevels == 2) { - STORAGE: ADMBase::metric[2] - STORAGE: ADMBase::curv[2] - STORAGE: ADMBase::lapse[2] - STORAGE: ADMBase::shift[2] - STORAGE: ADMBase::dtlapse[2] - STORAGE: ADMBase::dtshift[2] - } else if (timelevels == 3) { - STORAGE: ADMBase::metric[3] - STORAGE: ADMBase::curv[3] - STORAGE: ADMBase::lapse[3] - STORAGE: ADMBase::shift[3] - STORAGE: ADMBase::dtlapse[3] - STORAGE: ADMBase::dtshift[3] - } else if (timelevels == 4) { - #STORAGE: ADMBase::metric[4] - #STORAGE: ADMBase::curv[4] - #STORAGE: ADMBase::lapse[4] - #STORAGE: ADMBase::shift[4] - #STORAGE: ADMBase::dtlapse[4] - #STORAGE: ADMBase::dtshift[4] - STORAGE: ADMBase::metric[3] - STORAGE: ADMBase::curv[3] - STORAGE: ADMBase::lapse[3] - STORAGE: ADMBase::shift[3] - STORAGE: ADMBase::dtlapse[3] - STORAGE: ADMBase::dtshift[3] - } - - SCHEDULE ML_BSSN_M_RegisterSlicing AT startup - { - LANG: C - OPTIONS: meta - } "Register slicing" - - SCHEDULE ML_BSSN_M_SetGroupTags AT startup BEFORE Driver_Startup - { - LANG: C - OPTIONS: meta - } "Set checkpointing and prolongation group tags" - - SCHEDULE ML_BSSN_M_RegisterConstrained IN MoL_Register - { - LANG: C - OPTIONS: meta - } "Register ADMBase variables as constrained" - - - - #SCHEDULE GROUP ML_BSSN_M_evolCalcGroup AT postinitial AFTER MoL_PostStep - #{ - #} "Calculate BSSN RHS" - SCHEDULE GROUP MoL_CalcRHS AT postinitial AFTER MoL_PostStep - { - } "Evaluate RHS" - - SCHEDULE GROUP ML_BSSN_M_evolCalcGroup IN MoL_CalcRHS - { - } "Calculate BSSN RHS" - - SCHEDULE GROUP ML_BSSN_M_evolCalcGroup AT analysis - { - TRIGGERS: ML_BSSN_M::ML_log_confacrhs - TRIGGERS: ML_BSSN_M::ML_metricrhs - TRIGGERS: ML_BSSN_M::ML_Gammarhs - TRIGGERS: ML_BSSN_M::ML_trace_curvrhs - TRIGGERS: ML_BSSN_M::ML_curvrhs - TRIGGERS: ML_BSSN_M::ML_lapserhs - TRIGGERS: ML_BSSN_M::ML_dtlapserhs - TRIGGERS: ML_BSSN_M::ML_shiftrhs - TRIGGERS: ML_BSSN_M::ML_dtshiftrhs - } "Calculate BSSN RHS" - - - - if (CCTK_EQUALS (my_initial_boundary_condition, "extrapolate-gammas")) - { - SCHEDULE ML_BSSN_M_ExtrapolateGammas AT initial AFTER ML_BSSN_M_convertFromADMBaseGamma - { - LANG: C - SYNC: ML_Gamma - SYNC: ML_dtlapse - SYNC: ML_dtshift - } "Extrapolate Gammas and time derivatives of lapse and shift" - } - - if (CCTK_EQUALS (my_rhs_boundary_condition, "NewRad")) - { - SCHEDULE ML_BSSN_M_NewRad IN ML_BSSN_M_evolCalcGroup AFTER ML_BSSN_M_RHS - { - LANG: C - #SYNC: ML_curvrhs - #SYNC: ML_dtlapserhs - #SYNC: ML_dtshiftrhs - #SYNC: ML_Gammarhs - #SYNC: ML_lapserhs - #SYNC: ML_log_confacrhs - #SYNC: ML_metricrhs - #SYNC: ML_shiftrhs - #SYNC: ML_trace_curvrhs - } "Apply NewRad boundary conditions to RHS" - } - - - - SCHEDULE GROUP ML_BSSN_M_convertToADMBaseGroup IN ML_BSSN_M_convertToADMBaseGroupWrapper - { - } "Calculate ADM variables" - - if (CCTK_EQUALS (calculate_ADMBase_variables_at, "MoL_PostStep")) - { - SCHEDULE GROUP ML_BSSN_M_convertToADMBaseGroupWrapper IN MoL_PostStep AFTER (ML_BSSN_M_ApplyBCs ML_BSSN_M_enforce) BEFORE (ADMBase_SetADMVars Whisky_PostStep) - { - } "Calculate ADM variables" - } - else if (CCTK_EQUALS (calculate_ADMBase_variables_at, "CCTK_EVOL")) - { - SCHEDULE GROUP ML_BSSN_M_convertToADMBaseGroupWrapper AT evol AFTER MoL_Evolution BEFORE (ADMBase_SetADMVars Whisky_PostStep) - { - } "Calculate ADM variables" - } - else if (CCTK_EQUALS (calculate_ADMBase_variables_at, "CCTK_ANALYSIS")) - { - SCHEDULE GROUP ML_BSSN_M_convertToADMBaseGroupWrapper AT analysis BEFORE (ADMBase_SetADMVars Whisky_PostStep) - { - TRIGGERS: ML_BSSN_M::ML_Ham - TRIGGERS: ML_BSSN_M::ML_mom - } "Calculate ADM variables" - } - - SCHEDULE ML_BSSN_M_SelectBCsADMBase IN ML_BSSN_M_convertToADMBaseGroupWrapper AFTER ML_BSSN_M_convertToADMBaseGroup - { - LANG: C - OPTIONS: level - } "Apply boundary conditions to ADMBase variables" - - SCHEDULE GROUP ApplyBCs AS ML_BSSN_M_ApplyBCsADMBase IN ML_BSSN_M_convertToADMBaseGroupWrapper AFTER ML_BSSN_M_SelectBCsADMBase - { - } "Apply boundary conditions to ADMBase variables" - - - - SCHEDULE GROUP ML_BSSN_M_constraintsCalcGroup AT analysis - { - TRIGGERS: ML_BSSN_M::ML_Ham - TRIGGERS: ML_BSSN_M::ML_mom - } "Calculate BSSN constraints" - -} diff --git a/ML_BSSN_M_Helper/src/CopyADMBase.c b/ML_BSSN_M_Helper/src/CopyADMBase.c deleted file mode 100644 index 9d4c011..0000000 --- a/ML_BSSN_M_Helper/src/CopyADMBase.c +++ /dev/null @@ -1,50 +0,0 @@ -#include <stdlib.h> -#include <string.h> - -#include <cctk.h> -#include <cctk_Arguments.h> - -static void -copy (cGH const * restrict cctkGH, - CCTK_REAL * restrict dst, CCTK_REAL const * restrict src); - -void -ML_BSSN_M_CopyADMBase (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - copy (cctkGH, gxx, gxx_p); - copy (cctkGH, gxy, gxx_p); - copy (cctkGH, gxz, gxx_p); - copy (cctkGH, gyy, gxx_p); - copy (cctkGH, gyz, gxx_p); - copy (cctkGH, gzz, gxx_p); - - copy (cctkGH, kxx, gxx_p); - copy (cctkGH, kxy, gxx_p); - copy (cctkGH, kxz, gxx_p); - copy (cctkGH, kyy, gxx_p); - copy (cctkGH, kyz, gxx_p); - copy (cctkGH, kzz, gxx_p); - - copy (cctkGH, alp, alp_p); - - copy (cctkGH, betax, betax_p); - copy (cctkGH, betay, betay_p); - copy (cctkGH, betaz, betaz_p); - - copy (cctkGH, dtalp, dtalp_p); - - copy (cctkGH, dtbetax, dtbetax_p); - copy (cctkGH, dtbetay, dtbetay_p); - copy (cctkGH, dtbetaz, dtbetaz_p); -} - -static void -copy (cGH const * restrict const cctkGH, - CCTK_REAL * restrict const dst, CCTK_REAL const * restrict const src) -{ - size_t const npoints = - (size_t) cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[1] * cctkGH->cctk_lsh[2]; - memcpy (dst, src, npoints * sizeof *dst); -} diff --git a/ML_BSSN_M_Helper/src/ExtrapolateGammas.c b/ML_BSSN_M_Helper/src/ExtrapolateGammas.c deleted file mode 100644 index 3d4e4cc..0000000 --- a/ML_BSSN_M_Helper/src/ExtrapolateGammas.c +++ /dev/null @@ -1,29 +0,0 @@ -#include <cctk.h> -#include <cctk_Arguments.h> - -static void -extrap (cGH const * restrict cctkGH, - CCTK_REAL * restrict var); - -void -ML_BSSN_M_ExtrapolateGammas (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - extrap (cctkGH, Xt1); - extrap (cctkGH, Xt2); - extrap (cctkGH, Xt3); - - extrap (cctkGH, A); - - extrap (cctkGH, B1); - extrap (cctkGH, B2); - extrap (cctkGH, B3); -} - -static void -extrap (cGH const * restrict const cctkGH, - CCTK_REAL * restrict const var) -{ - ExtrapolateGammas (cctkGH, var); -} diff --git a/ML_BSSN_M_Helper/src/NewRad.c b/ML_BSSN_M_Helper/src/NewRad.c deleted file mode 100644 index d7d2ba3..0000000 --- a/ML_BSSN_M_Helper/src/NewRad.c +++ /dev/null @@ -1,67 +0,0 @@ -#include <math.h> - -#include <cctk.h> -#include <cctk_Arguments.h> -#include <cctk_Parameters.h> - -static void -newrad (cGH const * restrict cctkGH, - CCTK_REAL const * restrict var, - CCTK_REAL * restrict rhs, - CCTK_REAL var0, - CCTK_REAL v0); - -void -ML_BSSN_M_NewRad (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_REAL const v0 = sqrt (harmonicF); - - newrad (cctkGH, phi , phirhs , 0.0, v0 ); - - newrad (cctkGH, gt11 , gt11rhs , 1.0, 1.0); - newrad (cctkGH, gt12 , gt12rhs , 0.0, 1.0); - newrad (cctkGH, gt13 , gt13rhs , 0.0, 1.0); - newrad (cctkGH, gt22 , gt22rhs , 1.0, 1.0); - newrad (cctkGH, gt23 , gt23rhs , 0.0, 1.0); - newrad (cctkGH, gt33 , gt33rhs , 1.0, 1.0); - - newrad (cctkGH, Xt1 , Xt1rhs , 0.0, 1.0); - newrad (cctkGH, Xt2 , Xt2rhs , 0.0, 1.0); - newrad (cctkGH, Xt3 , Xt3rhs , 0.0, 1.0); - - newrad (cctkGH, trK , trKrhs , 0.0, v0 ); - - newrad (cctkGH, At11 , At11rhs , 0.0, 1.0); - newrad (cctkGH, At12 , At12rhs , 0.0, 1.0); - newrad (cctkGH, At13 , At13rhs , 0.0, 1.0); - newrad (cctkGH, At22 , At22rhs , 0.0, 1.0); - newrad (cctkGH, At23 , At23rhs , 0.0, 1.0); - newrad (cctkGH, At33 , At33rhs , 0.0, 1.0); - - newrad (cctkGH, alpha, alpharhs, 1.0, v0 ); - - newrad (cctkGH, A , Arhs , 0.0, v0 ); - - newrad (cctkGH, beta1, beta1rhs, 0.0, 1.0); - newrad (cctkGH, beta2, beta2rhs, 0.0, 1.0); - newrad (cctkGH, beta3, beta3rhs, 0.0, 1.0); - - newrad (cctkGH, B1 , B1rhs , 0.0, 1.0); - newrad (cctkGH, B2 , B2rhs , 0.0, 1.0); - newrad (cctkGH, B3 , B3rhs , 0.0, 1.0); -} - -static void -newrad (cGH const * restrict const cctkGH, - CCTK_REAL const * restrict const var, - CCTK_REAL * restrict const rhs, - CCTK_REAL const var0, - CCTK_REAL const v0) -{ - DECLARE_CCTK_PARAMETERS; - - NewRad_Apply (cctkGH, var, rhs, var0, v0, radpower); -} diff --git a/ML_BSSN_M_Helper/src/RegisterConstrained.c b/ML_BSSN_M_Helper/src/RegisterConstrained.c deleted file mode 100644 index 8f361f9..0000000 --- a/ML_BSSN_M_Helper/src/RegisterConstrained.c +++ /dev/null @@ -1,32 +0,0 @@ -#include <assert.h> -#include <stdlib.h> -#include <string.h> - -#include <cctk.h> -#include <cctk_Arguments.h> - -static void -register_constrained (char const * restrict const gn); - -void -ML_BSSN_M_RegisterConstrained (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - register_constrained ("ADMBase::metric"); - register_constrained ("ADMBase::curv"); - register_constrained ("ADMBase::lapse"); - register_constrained ("ADMBase::shift"); - register_constrained ("ADMBase::dtlapse"); - register_constrained ("ADMBase::dtshift"); -} - -static void -register_constrained (char const * restrict const gn) -{ - assert (gn); - - int const gi = CCTK_GroupIndex (gn); - int const ierr = MoLRegisterConstrainedGroup (gi); - assert (! ierr); -} diff --git a/ML_BSSN_M_Helper/src/RegisterSlicing.c b/ML_BSSN_M_Helper/src/RegisterSlicing.c deleted file mode 100644 index 9101a84..0000000 --- a/ML_BSSN_M_Helper/src/RegisterSlicing.c +++ /dev/null @@ -1,10 +0,0 @@ -#include <cctk.h> - -#include "CactusEinstein/CoordGauge/src/Slicing.h" - -int -ML_BSSN_M_RegisterSlicing (void) -{ - Einstein_RegisterSlicing ("ML_BSSN_M"); - return 0; -} diff --git a/ML_BSSN_M_Helper/src/SelectBCsADMBase.c b/ML_BSSN_M_Helper/src/SelectBCsADMBase.c deleted file mode 100644 index c91c4ff..0000000 --- a/ML_BSSN_M_Helper/src/SelectBCsADMBase.c +++ /dev/null @@ -1,31 +0,0 @@ -#include <assert.h> - -#include <cctk.h> -#include <cctk_Arguments.h> -#include <cctk_Parameters.h> - -static void -select_bcs (cGH const * restrict cctkGH, char const * restrict gn); - -void -ML_BSSN_M_SelectBCsADMBase (CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - - select_bcs (cctkGH, "ADMBase::metric"); - select_bcs (cctkGH, "ADMBase::curv"); - select_bcs (cctkGH, "ADMBase::lapse"); - select_bcs (cctkGH, "ADMBase::shift"); - select_bcs (cctkGH, "ADMBase::dtlapse"); - select_bcs (cctkGH, "ADMBase::dtshift"); -} - -static void -select_bcs (cGH const * restrict const cctkGH, char const * restrict const gn) -{ - DECLARE_CCTK_PARAMETERS; - - int const ierr = Boundary_SelectGroupForBC - (cctkGH, CCTK_ALL_FACES, boundary_width, -1, gn, "none"); - assert (! ierr); -} diff --git a/ML_BSSN_M_Helper/src/SetGroupTags.c b/ML_BSSN_M_Helper/src/SetGroupTags.c deleted file mode 100644 index db16c77..0000000 --- a/ML_BSSN_M_Helper/src/SetGroupTags.c +++ /dev/null @@ -1,69 +0,0 @@ -#include <cctk.h> -#include <cctk_Parameters.h> -#include <util_Table.h> - -#include <assert.h> - -static void -set_group_tags (int const checkpoint, int const prolongate, - char const * restrict const gn); - -int -ML_BSSN_M_SetGroupTags (void) -{ - DECLARE_CCTK_PARAMETERS; - - set_group_tags (0, 1, "ADMBase::metric"); - set_group_tags (0, 1, "ADMBase::curv"); - set_group_tags (0, 1, "ADMBase::lapse"); - set_group_tags (0, 1, "ADMBase::shift"); - set_group_tags (0, 1, "ADMBase::dtlapse"); - set_group_tags (0, 1, "ADMBase::dtshift"); - - set_group_tags (0, 0, "ML_BSSN_M::ML_cons_detg"); - set_group_tags (0, 0, "ML_BSSN_M::ML_cons_Gamma"); - set_group_tags (0, 0, "ML_BSSN_M::ML_cons_traceA"); - set_group_tags (0, 0, "ML_BSSN_M::ML_Ham"); - set_group_tags (0, 0, "ML_BSSN_M::ML_mom"); - set_group_tags (0, 0, "ML_BSSN_M::ML_curvrhs"); - - int const checkpoint = rhs_timelevels > 1; - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_dtlapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_dtshiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_Gammarhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_lapserhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_log_confacrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_metricrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_shiftrhs"); - set_group_tags (checkpoint, 0, "ML_BSSN_M::ML_trace_curvrhs"); - - return 0; -} - -static void -set_group_tags (int const checkpoint, int const prolongate, - char const * restrict const gn) -{ - assert (gn); - - int const gi = CCTK_GroupIndex (gn); - assert (gi >= 0); - - int const table = CCTK_GroupTagsTableI (gi); - assert (table >= 0); - - if (! checkpoint) { - int ierr; - ierr = Util_TableSetString (table, "no", "Checkpoint"); - assert (! ierr); - - ierr = Util_TableSetString (table, "no", "Persistent"); - assert (! ierr); - } - - if (! prolongate) { - int ierr; - ierr = Util_TableSetString (table, "none", "Prolongation"); - assert (! ierr); - } -} diff --git a/ML_BSSN_M_Helper/src/make.code.defn b/ML_BSSN_M_Helper/src/make.code.defn deleted file mode 100644 index 2625d6c..0000000 --- a/ML_BSSN_M_Helper/src/make.code.defn +++ /dev/null @@ -1,3 +0,0 @@ -# -*-Makefile-*- -SRCS = ExtrapolateGammas.c NewRad.c RegisterConstrained.c RegisterSlicing.c SelectBCsADMBase.c SetGroupTags.c -# CopyADMBase.c diff --git a/ML_WaveToy/src/Differencing.h b/ML_WaveToy/src/Differencing.h index ae119d2..aa21060 100644 --- a/ML_WaveToy/src/Differencing.h +++ b/ML_WaveToy/src/Differencing.h @@ -1,12 +1,12 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) diff --git a/ML_WaveToy/src/WT_Gaussian.c b/ML_WaveToy/src/WT_Gaussian.c index 7565c7f..e0b278d 100644 --- a/ML_WaveToy/src/WT_Gaussian.c +++ b/ML_WaveToy/src/WT_Gaussian.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WT_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void WT_Gaussian_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void WT_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,16 +87,16 @@ void WT_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL uL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL uL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -114,9 +112,9 @@ void WT_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT con /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - uL = 0; + CCTK_REAL const uL = 0; - rhoL = 0; + CCTK_REAL const rhoL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_WaveToy/src/WT_RHS.c b/ML_WaveToy/src/WT_RHS.c index 63398e3..31b1fbb 100644 --- a/ML_WaveToy/src/WT_RHS.c +++ b/ML_WaveToy/src/WT_RHS.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WT_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void WT_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void WT_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const fa /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,42 +87,42 @@ void WT_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const fa i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL rhoL = INITVALUE, rhorhsL = INITVALUE; - CCTK_REAL uL = INITVALUE, urhsL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE, rhorhsL = INITVALUE; + // CCTK_REAL uL = INITVALUE, urhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth11u = INITVALUE; - CCTK_REAL PDstandardNth22u = INITVALUE; - CCTK_REAL PDstandardNth33u = INITVALUE; + // CCTK_REAL PDstandardNth11u = INITVALUE; + // CCTK_REAL PDstandardNth22u = INITVALUE; + // CCTK_REAL PDstandardNth33u = INITVALUE; /* Assign local copies of grid functions */ - rhoL = rho[index]; - uL = u[index]; + CCTK_REAL const rhoL = rho[index]; + CCTK_REAL const uL = u[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth11u = PDstandardNth11(u, i, j, k); - PDstandardNth22u = PDstandardNth22(u, i, j, k); - PDstandardNth33u = PDstandardNth33(u, i, j, k); + CCTK_REAL const PDstandardNth11u = PDstandardNth11(u, i, j, k); + CCTK_REAL const PDstandardNth22u = PDstandardNth22(u, i, j, k); + CCTK_REAL const PDstandardNth33u = PDstandardNth33(u, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - urhsL = rhoL; + CCTK_REAL const urhsL = rhoL; - rhorhsL = PDstandardNth11u + PDstandardNth22u + PDstandardNth33u; + CCTK_REAL const rhorhsL = PDstandardNth11u + PDstandardNth22u + PDstandardNth33u; /* Copy local copies back to grid functions */ diff --git a/ML_WaveToyFO/src/Differencing.h b/ML_WaveToyFO/src/Differencing.h index ae119d2..aa21060 100644 --- a/ML_WaveToyFO/src/Differencing.h +++ b/ML_WaveToyFO/src/Differencing.h @@ -1,12 +1,12 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))])) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) diff --git a/ML_WaveToyFO/src/WTFO_Gaussian.c b/ML_WaveToyFO/src/WTFO_Gaussian.c index 78e0ef3..85a4f97 100644 --- a/ML_WaveToyFO/src/WTFO_Gaussian.c +++ b/ML_WaveToyFO/src/WTFO_Gaussian.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WTFO_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void WTFO_Gaussian_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void WTFO_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT c /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,17 +87,17 @@ void WTFO_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT c i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL uL = INITVALUE; - CCTK_REAL v1L = INITVALUE, v2L = INITVALUE, v3L = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL uL = INITVALUE; + // CCTK_REAL v1L = INITVALUE, v2L = INITVALUE, v3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -115,15 +113,15 @@ void WTFO_Gaussian_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT c /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - uL = 0; + CCTK_REAL const uL = 0; - v1L = 0; + CCTK_REAL const v1L = 0; - v2L = 0; + CCTK_REAL const v2L = 0; - v3L = 0; + CCTK_REAL const v3L = 0; - rhoL = 0; + CCTK_REAL const rhoL = 0; /* Copy local copies back to grid functions */ diff --git a/ML_WaveToyFO/src/WTFO_RHS.c b/ML_WaveToyFO/src/WTFO_RHS.c index 3813c63..6c0477c 100644 --- a/ML_WaveToyFO/src/WTFO_RHS.c +++ b/ML_WaveToyFO/src/WTFO_RHS.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WTFO_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void WTFO_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void WTFO_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,57 +87,57 @@ void WTFO_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL rhoL = INITVALUE, rhorhsL = INITVALUE; - CCTK_REAL urhsL = INITVALUE; - CCTK_REAL v1L = INITVALUE, v1rhsL = INITVALUE, v2L = INITVALUE, v2rhsL = INITVALUE, v3L = INITVALUE, v3rhsL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE, rhorhsL = INITVALUE; + // CCTK_REAL urhsL = INITVALUE; + // CCTK_REAL v1L = INITVALUE, v1rhsL = INITVALUE, v2L = INITVALUE, v2rhsL = INITVALUE, v3L = INITVALUE, v3rhsL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1rho = INITVALUE; - CCTK_REAL PDstandardNth2rho = INITVALUE; - CCTK_REAL PDstandardNth3rho = INITVALUE; - CCTK_REAL PDstandardNth1v1 = INITVALUE; - CCTK_REAL PDstandardNth2v2 = INITVALUE; - CCTK_REAL PDstandardNth3v3 = INITVALUE; + // CCTK_REAL PDstandardNth1rho = INITVALUE; + // CCTK_REAL PDstandardNth2rho = INITVALUE; + // CCTK_REAL PDstandardNth3rho = INITVALUE; + // CCTK_REAL PDstandardNth1v1 = INITVALUE; + // CCTK_REAL PDstandardNth2v2 = INITVALUE; + // CCTK_REAL PDstandardNth3v3 = INITVALUE; /* Assign local copies of grid functions */ - rhoL = rho[index]; - v1L = v1[index]; - v2L = v2[index]; - v3L = v3[index]; + CCTK_REAL const rhoL = rho[index]; + CCTK_REAL const v1L = v1[index]; + CCTK_REAL const v2L = v2[index]; + CCTK_REAL const v3L = v3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1rho = PDstandardNth1(rho, i, j, k); - PDstandardNth2rho = PDstandardNth2(rho, i, j, k); - PDstandardNth3rho = PDstandardNth3(rho, i, j, k); - PDstandardNth1v1 = PDstandardNth1(v1, i, j, k); - PDstandardNth2v2 = PDstandardNth2(v2, i, j, k); - PDstandardNth3v3 = PDstandardNth3(v3, i, j, k); + CCTK_REAL const PDstandardNth1rho = PDstandardNth1(rho, i, j, k); + CCTK_REAL const PDstandardNth2rho = PDstandardNth2(rho, i, j, k); + CCTK_REAL const PDstandardNth3rho = PDstandardNth3(rho, i, j, k); + CCTK_REAL const PDstandardNth1v1 = PDstandardNth1(v1, i, j, k); + CCTK_REAL const PDstandardNth2v2 = PDstandardNth2(v2, i, j, k); + CCTK_REAL const PDstandardNth3v3 = PDstandardNth3(v3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - urhsL = rhoL; + CCTK_REAL const urhsL = rhoL; - rhorhsL = PDstandardNth1v1 + PDstandardNth2v2 + PDstandardNth3v3; + CCTK_REAL const rhorhsL = PDstandardNth1v1 + PDstandardNth2v2 + PDstandardNth3v3; - v1rhsL = PDstandardNth1rho; + CCTK_REAL const v1rhsL = PDstandardNth1rho; - v2rhsL = PDstandardNth2rho; + CCTK_REAL const v2rhsL = PDstandardNth2rho; - v3rhsL = PDstandardNth3rho; + CCTK_REAL const v3rhsL = PDstandardNth3rho; /* Copy local copies back to grid functions */ diff --git a/ML_WaveToyFO/src/WTFO_constraints.c b/ML_WaveToyFO/src/WTFO_constraints.c index 0d2cb6b..b865ffc 100644 --- a/ML_WaveToyFO/src/WTFO_constraints.c +++ b/ML_WaveToyFO/src/WTFO_constraints.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WTFO_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void WTFO_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o12dx = INITVALUE; - CCTK_REAL p1o12dy = INITVALUE; - CCTK_REAL p1o12dz = INITVALUE; - CCTK_REAL p1o144dxdy = INITVALUE; - CCTK_REAL p1o144dxdz = INITVALUE; - CCTK_REAL p1o144dydz = INITVALUE; - CCTK_REAL pm1o12dx2 = INITVALUE; - CCTK_REAL pm1o12dy2 = INITVALUE; - CCTK_REAL pm1o12dz2 = INITVALUE; + // CCTK_REAL p1o12dx = INITVALUE; + // CCTK_REAL p1o12dy = INITVALUE; + // CCTK_REAL p1o12dz = INITVALUE; + // CCTK_REAL p1o144dxdy = INITVALUE; + // CCTK_REAL p1o144dxdz = INITVALUE; + // CCTK_REAL p1o144dydz = INITVALUE; + // CCTK_REAL pm1o12dx2 = INITVALUE; + // CCTK_REAL pm1o12dy2 = INITVALUE; + // CCTK_REAL pm1o12dz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void WTFO_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o12dx = INV(dx)/12.; - p1o12dy = INV(dy)/12.; - p1o12dz = INV(dz)/12.; - p1o144dxdy = (INV(dx)*INV(dy))/144.; - p1o144dxdz = (INV(dx)*INV(dz))/144.; - p1o144dydz = (INV(dy)*INV(dz))/144.; - pm1o12dx2 = -pow(dx,-2)/12.; - pm1o12dy2 = -pow(dy,-2)/12.; - pm1o12dz2 = -pow(dz,-2)/12.; + CCTK_REAL const p1o12dx = INV(dx)/12.; + CCTK_REAL const p1o12dy = INV(dy)/12.; + CCTK_REAL const p1o12dz = INV(dz)/12.; + CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; + CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; + CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; + CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; + CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; + CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel @@ -89,51 +87,51 @@ void WTFO_constraints_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_IN i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL v1L = INITVALUE, v2L = INITVALUE, v3L = INITVALUE; - CCTK_REAL w1L = INITVALUE, w2L = INITVALUE, w3L = INITVALUE; + // CCTK_REAL v1L = INITVALUE, v2L = INITVALUE, v3L = INITVALUE; + // CCTK_REAL w1L = INITVALUE, w2L = INITVALUE, w3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth2v1 = INITVALUE; - CCTK_REAL PDstandardNth3v1 = INITVALUE; - CCTK_REAL PDstandardNth1v2 = INITVALUE; - CCTK_REAL PDstandardNth3v2 = INITVALUE; - CCTK_REAL PDstandardNth1v3 = INITVALUE; - CCTK_REAL PDstandardNth2v3 = INITVALUE; + // CCTK_REAL PDstandardNth2v1 = INITVALUE; + // CCTK_REAL PDstandardNth3v1 = INITVALUE; + // CCTK_REAL PDstandardNth1v2 = INITVALUE; + // CCTK_REAL PDstandardNth3v2 = INITVALUE; + // CCTK_REAL PDstandardNth1v3 = INITVALUE; + // CCTK_REAL PDstandardNth2v3 = INITVALUE; /* Assign local copies of grid functions */ - v1L = v1[index]; - v2L = v2[index]; - v3L = v3[index]; + CCTK_REAL const v1L = v1[index]; + CCTK_REAL const v2L = v2[index]; + CCTK_REAL const v3L = v3[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth2v1 = PDstandardNth2(v1, i, j, k); - PDstandardNth3v1 = PDstandardNth3(v1, i, j, k); - PDstandardNth1v2 = PDstandardNth1(v2, i, j, k); - PDstandardNth3v2 = PDstandardNth3(v2, i, j, k); - PDstandardNth1v3 = PDstandardNth1(v3, i, j, k); - PDstandardNth2v3 = PDstandardNth2(v3, i, j, k); + CCTK_REAL const PDstandardNth2v1 = PDstandardNth2(v1, i, j, k); + CCTK_REAL const PDstandardNth3v1 = PDstandardNth3(v1, i, j, k); + CCTK_REAL const PDstandardNth1v2 = PDstandardNth1(v2, i, j, k); + CCTK_REAL const PDstandardNth3v2 = PDstandardNth3(v2, i, j, k); + CCTK_REAL const PDstandardNth1v3 = PDstandardNth1(v3, i, j, k); + CCTK_REAL const PDstandardNth2v3 = PDstandardNth2(v3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - w1L = -PDstandardNth2v3 + PDstandardNth3v2; + CCTK_REAL const w1L = -PDstandardNth2v3 + PDstandardNth3v2; - w2L = PDstandardNth1v3 - PDstandardNth3v1; + CCTK_REAL const w2L = PDstandardNth1v3 - PDstandardNth3v1; - w3L = -PDstandardNth1v2 + PDstandardNth2v1; + CCTK_REAL const w3L = -PDstandardNth1v2 + PDstandardNth2v1; /* Copy local copies back to grid functions */ diff --git a/ML_hydro/src/Differencing.h b/ML_hydro/src/Differencing.h index bcc51a0..9f8428b 100644 --- a/ML_hydro/src/Differencing.h +++ b/ML_hydro/src/Differencing.h @@ -1,12 +1,12 @@ -#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))])) -#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))])) -#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))])) -#define PDstandardNth11(u,i,j,k) (p1odx2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth22(u,i,j,k) (p1ody2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth33(u,i,j,k) (p1odz2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) -#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))])) -#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))])) -#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))])) -#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))])) -#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))])) -#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))])) +#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) diff --git a/ML_hydro/src/hydro_RHS.c b/ML_hydro/src/hydro_RHS.c index 7260165..6cb53a2 100644 --- a/ML_hydro/src/hydro_RHS.c +++ b/ML_hydro/src/hydro_RHS.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void hydro_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void hydro_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o2dx = INITVALUE; - CCTK_REAL p1o2dy = INITVALUE; - CCTK_REAL p1o2dz = INITVALUE; - CCTK_REAL p1o4dxdy = INITVALUE; - CCTK_REAL p1o4dxdz = INITVALUE; - CCTK_REAL p1o4dydz = INITVALUE; - CCTK_REAL p1odx2 = INITVALUE; - CCTK_REAL p1ody2 = INITVALUE; - CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void hydro_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o2dx = khalf*INV(dx); - p1o2dy = khalf*INV(dy); - p1o2dz = khalf*INV(dz); - p1o4dxdy = (INV(dx)*INV(dy))/4.; - p1o4dxdz = (INV(dx)*INV(dz))/4.; - p1o4dydz = (INV(dy)*INV(dz))/4.; - p1odx2 = pow(dx,-2); - p1ody2 = pow(dy,-2); - p1odz2 = pow(dz,-2); + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz2 = pow(dz,-2); /* Loop over the grid points */ #pragma omp parallel @@ -89,90 +87,90 @@ void hydro_RHS_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL eneflux1L = INITVALUE, eneflux2L = INITVALUE, eneflux3L = INITVALUE; - CCTK_REAL enerhsL = INITVALUE; - CCTK_REAL massflux1L = INITVALUE, massflux2L = INITVALUE, massflux3L = INITVALUE; - CCTK_REAL massrhsL = INITVALUE; - CCTK_REAL mom1rhsL = INITVALUE, mom2rhsL = INITVALUE, mom3rhsL = INITVALUE; - CCTK_REAL momflux11L = INITVALUE, momflux12L = INITVALUE, momflux13L = INITVALUE, momflux21L = INITVALUE, momflux22L = INITVALUE, momflux23L = INITVALUE; - CCTK_REAL momflux31L = INITVALUE, momflux32L = INITVALUE, momflux33L = INITVALUE; + // CCTK_REAL eneflux1L = INITVALUE, eneflux2L = INITVALUE, eneflux3L = INITVALUE; + // CCTK_REAL enerhsL = INITVALUE; + // CCTK_REAL massflux1L = INITVALUE, massflux2L = INITVALUE, massflux3L = INITVALUE; + // CCTK_REAL massrhsL = INITVALUE; + // CCTK_REAL mom1rhsL = INITVALUE, mom2rhsL = INITVALUE, mom3rhsL = INITVALUE; + // CCTK_REAL momflux11L = INITVALUE, momflux12L = INITVALUE, momflux13L = INITVALUE, momflux21L = INITVALUE, momflux22L = INITVALUE, momflux23L = INITVALUE; + // CCTK_REAL momflux31L = INITVALUE, momflux32L = INITVALUE, momflux33L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1eneflux1 = INITVALUE; - CCTK_REAL PDstandardNth2eneflux2 = INITVALUE; - CCTK_REAL PDstandardNth3eneflux3 = INITVALUE; - CCTK_REAL PDstandardNth1massflux1 = INITVALUE; - CCTK_REAL PDstandardNth2massflux2 = INITVALUE; - CCTK_REAL PDstandardNth3massflux3 = INITVALUE; - CCTK_REAL PDstandardNth1momflux11 = INITVALUE; - CCTK_REAL PDstandardNth2momflux12 = INITVALUE; - CCTK_REAL PDstandardNth3momflux13 = INITVALUE; - CCTK_REAL PDstandardNth1momflux21 = INITVALUE; - CCTK_REAL PDstandardNth2momflux22 = INITVALUE; - CCTK_REAL PDstandardNth3momflux23 = INITVALUE; - CCTK_REAL PDstandardNth1momflux31 = INITVALUE; - CCTK_REAL PDstandardNth2momflux32 = INITVALUE; - CCTK_REAL PDstandardNth3momflux33 = INITVALUE; + // CCTK_REAL PDstandardNth1eneflux1 = INITVALUE; + // CCTK_REAL PDstandardNth2eneflux2 = INITVALUE; + // CCTK_REAL PDstandardNth3eneflux3 = INITVALUE; + // CCTK_REAL PDstandardNth1massflux1 = INITVALUE; + // CCTK_REAL PDstandardNth2massflux2 = INITVALUE; + // CCTK_REAL PDstandardNth3massflux3 = INITVALUE; + // CCTK_REAL PDstandardNth1momflux11 = INITVALUE; + // CCTK_REAL PDstandardNth2momflux12 = INITVALUE; + // CCTK_REAL PDstandardNth3momflux13 = INITVALUE; + // CCTK_REAL PDstandardNth1momflux21 = INITVALUE; + // CCTK_REAL PDstandardNth2momflux22 = INITVALUE; + // CCTK_REAL PDstandardNth3momflux23 = INITVALUE; + // CCTK_REAL PDstandardNth1momflux31 = INITVALUE; + // CCTK_REAL PDstandardNth2momflux32 = INITVALUE; + // CCTK_REAL PDstandardNth3momflux33 = INITVALUE; /* Assign local copies of grid functions */ - eneflux1L = eneflux1[index]; - eneflux2L = eneflux2[index]; - eneflux3L = eneflux3[index]; - massflux1L = massflux1[index]; - massflux2L = massflux2[index]; - massflux3L = massflux3[index]; - momflux11L = momflux11[index]; - momflux12L = momflux12[index]; - momflux13L = momflux13[index]; - momflux21L = momflux21[index]; - momflux22L = momflux22[index]; - momflux23L = momflux23[index]; - momflux31L = momflux31[index]; - momflux32L = momflux32[index]; - momflux33L = momflux33[index]; + CCTK_REAL const eneflux1L = eneflux1[index]; + CCTK_REAL const eneflux2L = eneflux2[index]; + CCTK_REAL const eneflux3L = eneflux3[index]; + CCTK_REAL const massflux1L = massflux1[index]; + CCTK_REAL const massflux2L = massflux2[index]; + CCTK_REAL const massflux3L = massflux3[index]; + CCTK_REAL const momflux11L = momflux11[index]; + CCTK_REAL const momflux12L = momflux12[index]; + CCTK_REAL const momflux13L = momflux13[index]; + CCTK_REAL const momflux21L = momflux21[index]; + CCTK_REAL const momflux22L = momflux22[index]; + CCTK_REAL const momflux23L = momflux23[index]; + CCTK_REAL const momflux31L = momflux31[index]; + CCTK_REAL const momflux32L = momflux32[index]; + CCTK_REAL const momflux33L = momflux33[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1eneflux1 = PDstandardNth1(eneflux1, i, j, k); - PDstandardNth2eneflux2 = PDstandardNth2(eneflux2, i, j, k); - PDstandardNth3eneflux3 = PDstandardNth3(eneflux3, i, j, k); - PDstandardNth1massflux1 = PDstandardNth1(massflux1, i, j, k); - PDstandardNth2massflux2 = PDstandardNth2(massflux2, i, j, k); - PDstandardNth3massflux3 = PDstandardNth3(massflux3, i, j, k); - PDstandardNth1momflux11 = PDstandardNth1(momflux11, i, j, k); - PDstandardNth2momflux12 = PDstandardNth2(momflux12, i, j, k); - PDstandardNth3momflux13 = PDstandardNth3(momflux13, i, j, k); - PDstandardNth1momflux21 = PDstandardNth1(momflux21, i, j, k); - PDstandardNth2momflux22 = PDstandardNth2(momflux22, i, j, k); - PDstandardNth3momflux23 = PDstandardNth3(momflux23, i, j, k); - PDstandardNth1momflux31 = PDstandardNth1(momflux31, i, j, k); - PDstandardNth2momflux32 = PDstandardNth2(momflux32, i, j, k); - PDstandardNth3momflux33 = PDstandardNth3(momflux33, i, j, k); + CCTK_REAL const PDstandardNth1eneflux1 = PDstandardNth1(eneflux1, i, j, k); + CCTK_REAL const PDstandardNth2eneflux2 = PDstandardNth2(eneflux2, i, j, k); + CCTK_REAL const PDstandardNth3eneflux3 = PDstandardNth3(eneflux3, i, j, k); + CCTK_REAL const PDstandardNth1massflux1 = PDstandardNth1(massflux1, i, j, k); + CCTK_REAL const PDstandardNth2massflux2 = PDstandardNth2(massflux2, i, j, k); + CCTK_REAL const PDstandardNth3massflux3 = PDstandardNth3(massflux3, i, j, k); + CCTK_REAL const PDstandardNth1momflux11 = PDstandardNth1(momflux11, i, j, k); + CCTK_REAL const PDstandardNth2momflux12 = PDstandardNth2(momflux12, i, j, k); + CCTK_REAL const PDstandardNth3momflux13 = PDstandardNth3(momflux13, i, j, k); + CCTK_REAL const PDstandardNth1momflux21 = PDstandardNth1(momflux21, i, j, k); + CCTK_REAL const PDstandardNth2momflux22 = PDstandardNth2(momflux22, i, j, k); + CCTK_REAL const PDstandardNth3momflux23 = PDstandardNth3(momflux23, i, j, k); + CCTK_REAL const PDstandardNth1momflux31 = PDstandardNth1(momflux31, i, j, k); + CCTK_REAL const PDstandardNth2momflux32 = PDstandardNth2(momflux32, i, j, k); + CCTK_REAL const PDstandardNth3momflux33 = PDstandardNth3(momflux33, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - massrhsL = -PDstandardNth1massflux1 - PDstandardNth2massflux2 - PDstandardNth3massflux3; + CCTK_REAL const massrhsL = -PDstandardNth1massflux1 - PDstandardNth2massflux2 - PDstandardNth3massflux3; - mom1rhsL = -PDstandardNth1momflux11 - PDstandardNth2momflux12 - PDstandardNth3momflux13; + CCTK_REAL const mom1rhsL = -PDstandardNth1momflux11 - PDstandardNth2momflux12 - PDstandardNth3momflux13; - mom2rhsL = -PDstandardNth1momflux21 - PDstandardNth2momflux22 - PDstandardNth3momflux23; + CCTK_REAL const mom2rhsL = -PDstandardNth1momflux21 - PDstandardNth2momflux22 - PDstandardNth3momflux23; - mom3rhsL = -PDstandardNth1momflux31 - PDstandardNth2momflux32 - PDstandardNth3momflux33; + CCTK_REAL const mom3rhsL = -PDstandardNth1momflux31 - PDstandardNth2momflux32 - PDstandardNth3momflux33; - enerhsL = -PDstandardNth1eneflux1 - PDstandardNth2eneflux2 - PDstandardNth3eneflux3; + CCTK_REAL const enerhsL = -PDstandardNth1eneflux1 - PDstandardNth2eneflux2 - PDstandardNth3eneflux3; /* Copy local copies back to grid functions */ diff --git a/ML_hydro/src/hydro_con2prim.c b/ML_hydro/src/hydro_con2prim.c index 1ff5e54..a44a5b1 100644 --- a/ML_hydro/src/hydro_con2prim.c +++ b/ML_hydro/src/hydro_con2prim.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void hydro_con2prim_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void hydro_con2prim_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o2dx = INITVALUE; - CCTK_REAL p1o2dy = INITVALUE; - CCTK_REAL p1o2dz = INITVALUE; - CCTK_REAL p1o4dxdy = INITVALUE; - CCTK_REAL p1o4dxdz = INITVALUE; - CCTK_REAL p1o4dydz = INITVALUE; - CCTK_REAL p1odx2 = INITVALUE; - CCTK_REAL p1ody2 = INITVALUE; - CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void hydro_con2prim_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o2dx = khalf*INV(dx); - p1o2dy = khalf*INV(dy); - p1o2dz = khalf*INV(dz); - p1o4dxdy = (INV(dx)*INV(dy))/4.; - p1o4dxdz = (INV(dx)*INV(dz))/4.; - p1o4dydz = (INV(dy)*INV(dz))/4.; - p1odx2 = pow(dx,-2); - p1ody2 = pow(dy,-2); - p1odz2 = pow(dz,-2); + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz2 = pow(dz,-2); /* Loop over the grid points */ #pragma omp parallel @@ -89,65 +87,60 @@ void hydro_con2prim_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL eneL = INITVALUE; - CCTK_REAL epsL = INITVALUE; - CCTK_REAL massL = INITVALUE; - CCTK_REAL mom1L = INITVALUE, mom2L = INITVALUE, mom3L = INITVALUE; - CCTK_REAL pressL = INITVALUE; - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; - CCTK_REAL volL = INITVALUE; + // CCTK_REAL eneL = INITVALUE; + // CCTK_REAL epsL = INITVALUE; + // CCTK_REAL massL = INITVALUE; + // CCTK_REAL mom1L = INITVALUE, mom2L = INITVALUE, mom3L = INITVALUE; + // CCTK_REAL pressL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; + // CCTK_REAL volL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ - CCTK_REAL PDstandardNth1vel1 = INITVALUE; - CCTK_REAL PDstandardNth2vel2 = INITVALUE; - CCTK_REAL PDstandardNth3vel3 = INITVALUE; + // CCTK_REAL PDstandardNth1vel1 = INITVALUE; + // CCTK_REAL PDstandardNth2vel2 = INITVALUE; + // CCTK_REAL PDstandardNth3vel3 = INITVALUE; /* Assign local copies of grid functions */ - eneL = ene[index]; - epsL = eps[index]; - massL = mass[index]; - mom1L = mom1[index]; - mom2L = mom2[index]; - mom3L = mom3[index]; - rhoL = rho[index]; - vel1L = vel1[index]; - vel2L = vel2[index]; - vel3L = vel3[index]; - volL = vol[index]; + CCTK_REAL const eneL = ene[index]; + CCTK_REAL const massL = mass[index]; + CCTK_REAL const mom1L = mom1[index]; + CCTK_REAL const mom2L = mom2[index]; + CCTK_REAL const mom3L = mom3[index]; + CCTK_REAL const volL = vol[index]; /* Assign local copies of subblock grid functions */ /* Include user supplied include files */ /* Precompute derivatives (new style) */ - PDstandardNth1vel1 = PDstandardNth1(vel1, i, j, k); - PDstandardNth2vel2 = PDstandardNth2(vel2, i, j, k); - PDstandardNth3vel3 = PDstandardNth3(vel3, i, j, k); + CCTK_REAL const PDstandardNth1vel1 = PDstandardNth1(vel1, i, j, k); + CCTK_REAL const PDstandardNth2vel2 = PDstandardNth2(vel2, i, j, k); + CCTK_REAL const PDstandardNth3vel3 = PDstandardNth3(vel3, i, j, k); /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - rhoL = massL*INV(volL); + CCTK_REAL const rhoL = massL*INV(volL); - vel1L = mom1L*INV(massL); + CCTK_REAL const vel1L = mom1L*INV(massL); - vel2L = mom2L*INV(massL); + CCTK_REAL const vel2L = mom2L*INV(massL); - vel3L = mom3L*INV(massL); + CCTK_REAL const vel3L = mom3L*INV(massL); - epsL = khalf*INV(massL)*(2*eneL - massL*(SQR(vel1L) + SQR(vel2L) + SQR(vel3L))); + CCTK_REAL const epsL = khalf*INV(massL)*(2*eneL - massL*(SQR(vel1L) + SQR(vel2L) + SQR(vel3L))); - pressL = alpha*(PDstandardNth1vel1 + PDstandardNth2vel2 + PDstandardNth3vel3) + epsL*Gamma*rhoL; + CCTK_REAL const pressL = alpha*(PDstandardNth1vel1 + PDstandardNth2vel2 + PDstandardNth3vel3) + epsL*Gamma*rhoL; /* Copy local copies back to grid functions */ diff --git a/ML_hydro/src/hydro_prim2con.c b/ML_hydro/src/hydro_prim2con.c index cd1b21f..57072b3 100644 --- a/ML_hydro/src/hydro_prim2con.c +++ b/ML_hydro/src/hydro_prim2con.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void hydro_prim2con_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void hydro_prim2con_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o2dx = INITVALUE; - CCTK_REAL p1o2dy = INITVALUE; - CCTK_REAL p1o2dz = INITVALUE; - CCTK_REAL p1o4dxdy = INITVALUE; - CCTK_REAL p1o4dxdz = INITVALUE; - CCTK_REAL p1o4dydz = INITVALUE; - CCTK_REAL p1odx2 = INITVALUE; - CCTK_REAL p1ody2 = INITVALUE; - CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void hydro_prim2con_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o2dx = khalf*INV(dx); - p1o2dy = khalf*INV(dy); - p1o2dz = khalf*INV(dz); - p1o4dxdy = (INV(dx)*INV(dy))/4.; - p1o4dxdz = (INV(dx)*INV(dz))/4.; - p1o4dydz = (INV(dy)*INV(dz))/4.; - p1odx2 = pow(dx,-2); - p1ody2 = pow(dy,-2); - p1odz2 = pow(dz,-2); + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz2 = pow(dz,-2); /* Loop over the grid points */ #pragma omp parallel @@ -89,33 +87,31 @@ void hydro_prim2con_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL eneL = INITVALUE; - CCTK_REAL epsL = INITVALUE; - CCTK_REAL massL = INITVALUE; - CCTK_REAL mom1L = INITVALUE, mom2L = INITVALUE, mom3L = INITVALUE; - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; - CCTK_REAL volL = INITVALUE; + // CCTK_REAL eneL = INITVALUE; + // CCTK_REAL epsL = INITVALUE; + // CCTK_REAL massL = INITVALUE; + // CCTK_REAL mom1L = INITVALUE, mom2L = INITVALUE, mom3L = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; + // CCTK_REAL volL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - epsL = eps[index]; - massL = mass[index]; - rhoL = rho[index]; - vel1L = vel1[index]; - vel2L = vel2[index]; - vel3L = vel3[index]; - volL = vol[index]; + CCTK_REAL const epsL = eps[index]; + CCTK_REAL const rhoL = rho[index]; + CCTK_REAL const vel1L = vel1[index]; + CCTK_REAL const vel2L = vel2[index]; + CCTK_REAL const vel3L = vel3[index]; /* Assign local copies of subblock grid functions */ @@ -126,17 +122,17 @@ void hydro_prim2con_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - volL = CUB(h); + CCTK_REAL const volL = CUB(h); - massL = rhoL*volL; + CCTK_REAL const massL = rhoL*volL; - mom1L = massL*vel1L; + CCTK_REAL const mom1L = massL*vel1L; - mom2L = massL*vel2L; + CCTK_REAL const mom2L = massL*vel2L; - mom3L = massL*vel3L; + CCTK_REAL const mom3L = massL*vel3L; - eneL = khalf*massL*(2*epsL + SQR(vel1L) + SQR(vel2L) + SQR(vel3L)); + CCTK_REAL const eneL = khalf*massL*(2*epsL + SQR(vel1L) + SQR(vel2L) + SQR(vel3L)); /* Copy local copies back to grid functions */ diff --git a/ML_hydro/src/hydro_soundWave.c b/ML_hydro/src/hydro_soundWave.c index 42e986c..dca822a 100644 --- a/ML_hydro/src/hydro_soundWave.c +++ b/ML_hydro/src/hydro_soundWave.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void hydro_soundWave_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void hydro_soundWave_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o2dx = INITVALUE; - CCTK_REAL p1o2dy = INITVALUE; - CCTK_REAL p1o2dz = INITVALUE; - CCTK_REAL p1o4dxdy = INITVALUE; - CCTK_REAL p1o4dxdz = INITVALUE; - CCTK_REAL p1o4dydz = INITVALUE; - CCTK_REAL p1odx2 = INITVALUE; - CCTK_REAL p1ody2 = INITVALUE; - CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void hydro_soundWave_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o2dx = khalf*INV(dx); - p1o2dy = khalf*INV(dy); - p1o2dz = khalf*INV(dz); - p1o4dxdy = (INV(dx)*INV(dy))/4.; - p1o4dxdz = (INV(dx)*INV(dz))/4.; - p1o4dydz = (INV(dy)*INV(dz))/4.; - p1odx2 = pow(dx,-2); - p1ody2 = pow(dy,-2); - p1odz2 = pow(dz,-2); + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz2 = pow(dz,-2); /* Loop over the grid points */ #pragma omp parallel @@ -89,24 +87,24 @@ void hydro_soundWave_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL epsL = INITVALUE; - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; - CCTK_REAL xL = INITVALUE; + // CCTK_REAL epsL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; + // CCTK_REAL xL = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ /* Assign local copies of grid functions */ - xL = x[index]; + CCTK_REAL const xL = x[index]; /* Assign local copies of subblock grid functions */ @@ -117,15 +115,15 @@ void hydro_soundWave_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - rhoL = 1.; + CCTK_REAL const rhoL = 1.; - vel1L = A*Sin(2*Pi*xL*INV(L)); + CCTK_REAL const vel1L = A*Sin(2*Pi*xL*INV(L)); - vel2L = A*Sin(2*Pi*xL*INV(L)); + CCTK_REAL const vel2L = A*Sin(2*Pi*xL*INV(L)); - vel3L = A*Sin(2*Pi*xL*INV(L)); + CCTK_REAL const vel3L = A*Sin(2*Pi*xL*INV(L)); - epsL = 1.; + CCTK_REAL const epsL = 1.; /* Copy local copies back to grid functions */ diff --git a/ML_hydro/src/hydro_vacuum.c b/ML_hydro/src/hydro_vacuum.c index e4ae63a..27ffb83 100644 --- a/ML_hydro/src/hydro_vacuum.c +++ b/ML_hydro/src/hydro_vacuum.c @@ -20,29 +20,24 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void hydro_vacuum_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[]) +void hydro_vacuum_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Declare finite differencing variables */ - CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE; - CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE; - CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE; - CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE; - /* Declare predefined quantities */ - CCTK_REAL p1o2dx = INITVALUE; - CCTK_REAL p1o2dy = INITVALUE; - CCTK_REAL p1o2dz = INITVALUE; - CCTK_REAL p1o4dxdy = INITVALUE; - CCTK_REAL p1o4dxdz = INITVALUE; - CCTK_REAL p1o4dydz = INITVALUE; - CCTK_REAL p1odx2 = INITVALUE; - CCTK_REAL p1ody2 = INITVALUE; - CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; if (verbose > 1) { @@ -57,31 +52,34 @@ void hydro_vacuum_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT co /* Include user-supplied include files */ /* Initialise finite differencing variables */ - dx = CCTK_DELTA_SPACE(0); - dy = CCTK_DELTA_SPACE(1); - dz = CCTK_DELTA_SPACE(2); - dxi = 1.0 / dx; - dyi = 1.0 / dy; - dzi = 1.0 / dz; - khalf = 0.5; - kthird = 1/3.0; - ktwothird = 2.0/3.0; - kfourthird = 4.0/3.0; - keightthird = 8.0/3.0; - hdxi = 0.5 * dxi; - hdyi = 0.5 * dyi; - hdzi = 0.5 * dzi; + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ - p1o2dx = khalf*INV(dx); - p1o2dy = khalf*INV(dy); - p1o2dz = khalf*INV(dz); - p1o4dxdy = (INV(dx)*INV(dy))/4.; - p1o4dxdz = (INV(dx)*INV(dz))/4.; - p1o4dydz = (INV(dy)*INV(dz))/4.; - p1odx2 = pow(dx,-2); - p1ody2 = pow(dy,-2); - p1odz2 = pow(dz,-2); + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz2 = pow(dz,-2); /* Loop over the grid points */ #pragma omp parallel @@ -89,17 +87,17 @@ void hydro_vacuum_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT co i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { - int index = INITVALUE; - int subblock_index = INITVALUE; - index = CCTK_GFINDEX3D(cctkGH,i,j,k); - subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); /* Declare shorthands */ /* Declare local copies of grid functions */ - CCTK_REAL epsL = INITVALUE; - CCTK_REAL rhoL = INITVALUE; - CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; + // CCTK_REAL epsL = INITVALUE; + // CCTK_REAL rhoL = INITVALUE; + // CCTK_REAL vel1L = INITVALUE, vel2L = INITVALUE, vel3L = INITVALUE; /* Declare precomputed derivatives*/ /* Declare derivatives */ @@ -115,15 +113,15 @@ void hydro_vacuum_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT co /* Precompute derivatives (old style) */ /* Calculate temporaries and grid functions */ - rhoL = 0; + CCTK_REAL const rhoL = 0; - vel1L = 0; + CCTK_REAL const vel1L = 0; - vel2L = 0; + CCTK_REAL const vel2L = 0; - vel3L = 0; + CCTK_REAL const vel3L = 0; - epsL = 0; + CCTK_REAL const epsL = 0; /* Copy local copies back to grid functions */ diff --git a/doc/mclachlan.aux b/doc/mclachlan.aux new file mode 100644 index 0000000..2db4105 --- /dev/null +++ b/doc/mclachlan.aux @@ -0,0 +1,67 @@ +\relax +\ifx\hyper@anchor\@undefined +\global \let \oldcontentsline\contentsline +\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global \let \oldnewlabel\newlabel +\gdef \newlabel#1#2{\newlabelxx{#1}#2} +\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\let \contentsline\oldcontentsline +\let \newlabel\oldnewlabel} +\else +\global \let \hyper@last\relax +\fi + +\citation{ES-Brown2007b} +\citation{ES-mclachlanweb} +\citation{cvsweb} +\citation{svnweb} +\citation{gitweb} +\citation{Goodale02a} +\citation{ES-cactusweb} +\newlabel{FirstPage}{{}{1}{\relax }{}{}} +\@writefile{toc}{\contentsline {section}{\numberline {I}McLachlan}{1}{section*.1}} +\@writefile{toc}{\contentsline {section}{\numberline {II}Obtaining McLachlan}{1}{section*.2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {A}Tools}{1}{section*.3}} +\citation{ES-Schnetter2003b} +\citation{ES-Schnetter2006a} +\citation{ES-carpetweb} +\citation{ES-Brown2007b} +\citation{ES-mclachlanweb} +\@writefile{toc}{\contentsline {subsection}{\numberline {B}Cactus}{2}{section*.4}} +\newlabel{sec:cactus}{{II\tmspace +\thinmuskip {.1667em}B}{2}{\relax }{section*.4}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {C}Carpet}{2}{section*.5}} +\citation{kranc04} +\citation{Husa:2004ip} +\citation{krancweb} +\citation{ES-krancweb} +\@writefile{toc}{\contentsline {subsection}{\numberline {D}McLachlan}{3}{section*.6}} +\@writefile{toc}{\contentsline {subsection}{\numberline {E}Other Thorns}{3}{section*.7}} +\@writefile{toc}{\contentsline {subsection}{\numberline {F}Consistency Check}{3}{section*.8}} +\citation{ES-simfactoryweb} +\@writefile{toc}{\contentsline {section}{\numberline {III}Building McLachlan}{4}{section*.9}} +\@writefile{toc}{\contentsline {subsection}{\numberline {A}Documentation}{4}{section*.10}} +\@writefile{toc}{\contentsline {subsection}{\numberline {B}Option List}{4}{section*.11}} +\@writefile{toc}{\contentsline {subsection}{\numberline {C}Building}{4}{section*.12}} +\bibdata{references,publications-schnetter} +\bibcite{cvsweb}{{1}{}{{cvs}}{{}}} +\bibcite{svnweb}{{2}{}{{svn}}{{}}} +\bibcite{gitweb}{{3}{}{{git}}{{}}} +\bibcite{Goodale02a}{{4}{2003}{{Goodale et~al.}}{{Goodale, Allen, Lanfermann, Mass{\'o}, Radke, Seidel, and Shalf}}} +\bibcite{ES-cactusweb}{{5}{}{{Cactus}}{{}}} +\bibcite{ES-Schnetter2003b}{{6}{2004}{{Schnetter et~al.}}{{Schnetter, Hawley, and Hawke}}} +\bibcite{ES-Schnetter2006a}{{7}{2006}{{Schnetter et~al.}}{{Schnetter, Diener, Dorband, and Tiglio}}} +\bibcite{ES-carpetweb}{{8}{}{{Carpet}}{{}}} +\bibcite{ES-Brown2007b}{{9}{2009}{{Brown et~al.}}{{Brown, Diener, Sarbach, Schnetter, and Tiglio}}} +\bibcite{ES-mclachlanweb}{{10}{}{{McLachlan}}{{}}} +\@writefile{toc}{\contentsline {subsection}{\numberline {D}Cleaning}{5}{section*.13}} +\@writefile{toc}{\contentsline {section}{\numberline {IV}Running McLachlan}{5}{section*.14}} +\@writefile{toc}{\contentsline {section}{\numberline {}References}{5}{section*.15}} +\bibcite{kranc04}{{11}{2004}{{Lechner et~al.}}{{Lechner, Alic, and Husa}}} +\bibcite{Husa:2004ip}{{12}{2006}{{Husa et~al.}}{{Husa, Hinder, and Lechner}}} +\bibcite{krancweb}{{13}{}{{kra}}{{}}} +\bibcite{ES-krancweb}{{14}{}{{Kranc}}{{}}} +\bibcite{ES-simfactoryweb}{{15}{}{{SimFactory}}{{}}} +\global \chardef \firstnote@num15\relax +\bibstyle{apsrev-titles-manyauthors} +\newlabel{LastBibItem}{{15}{6}{\relax }{section*.15}{}} +\newlabel{LastPage}{{}{6}} diff --git a/doc/mclachlan.bbl b/doc/mclachlan.bbl new file mode 100644 index 0000000..f89fc00 --- /dev/null +++ b/doc/mclachlan.bbl @@ -0,0 +1,123 @@ +\begin{thebibliography}{15} +\expandafter\ifx\csname natexlab\endcsname\relax\def\natexlab#1{#1}\fi +\expandafter\ifx\csname bibnamefont\endcsname\relax + \def\bibnamefont#1{#1}\fi +\expandafter\ifx\csname bibfnamefont\endcsname\relax + \def\bibfnamefont#1{#1}\fi +\expandafter\ifx\csname citenamefont\endcsname\relax + \def\citenamefont#1{#1}\fi +\expandafter\ifx\csname url\endcsname\relax + \def\url#1{\texttt{#1}}\fi +\expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi +\providecommand{\bibinfo}[2]{#2} +\providecommand{\eprint}[2][]{\url{#2}} + +\bibitem[{cvs()}]{cvsweb} +\bibinfo{note}{{CVS}: {Concurrent} {Versions} {System}}, + \urlprefix\url{http://www.nongnu.org/cvs/}. + +\bibitem[{svn()}]{svnweb} +\bibinfo{note}{{SVN}: {Subversion}}, + \urlprefix\url{http://subversion.tigris.org/}. + +\bibitem[{git()}]{gitweb} +\bibinfo{note}{Git: Fast version control system}, + \urlprefix\url{http://www.git-scm.org/}. + +\bibitem[{\citenamefont{Goodale et~al.}(2003)\citenamefont{Goodale, Allen, + Lanfermann, Mass{\'o}, Radke, Seidel, and Shalf}}]{Goodale02a} +\bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Goodale}}, + \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Allen}}, + \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Lanfermann}}, + \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Mass{\'o}}}, + \bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Radke}}, + \bibinfo{author}{\bibfnamefont{E.}~\bibnamefont{Seidel}}, \bibnamefont{and} + \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Shalf}}, + \emph{\bibinfo{title}{The {C}actus framework and toolkit: Design and + applications}}, in \emph{\bibinfo{booktitle}{Vector and Parallel Processing + -- VECPAR'2002, 5th International Conference, Lecture Notes in Computer + Science}} (\bibinfo{publisher}{Springer}, \bibinfo{address}{Berlin}, + \bibinfo{year}{2003}). + +\bibitem[{Cactus()}]{ES-cactusweb} +Cactus, \bibinfo{note}{{Cactus} Computational Toolkit}, + \urlprefix\url{http://www.cactuscode.org/}. + +\bibitem[{\citenamefont{Schnetter et~al.}(2004)\citenamefont{Schnetter, Hawley, + and Hawke}}]{ES-Schnetter2003b} +\bibinfo{author}{\bibfnamefont{E.}~\bibnamefont{Schnetter}}, + \bibinfo{author}{\bibfnamefont{S.~H.} \bibnamefont{Hawley}}, + \bibnamefont{and} \bibinfo{author}{\bibfnamefont{I.}~\bibnamefont{Hawke}}, + \emph{\bibinfo{title}{Evolutions in {3D} numerical relativity using fixed + mesh refinement}}, \bibinfo{journal}{Class. Quantum Grav.} + \textbf{\bibinfo{volume}{21}}, \bibinfo{pages}{1465} (\bibinfo{year}{2004}), + \eprint{arXiv:gr-qc/0310042}, + \urlprefix\url{http://arxiv.org/abs/gr-qc/0310042}. + +\bibitem[{\citenamefont{Schnetter et~al.}(2006)\citenamefont{Schnetter, Diener, + Dorband, and Tiglio}}]{ES-Schnetter2006a} +\bibinfo{author}{\bibfnamefont{E.}~\bibnamefont{Schnetter}}, + \bibinfo{author}{\bibfnamefont{P.}~\bibnamefont{Diener}}, + \bibinfo{author}{\bibfnamefont{E.~N.} \bibnamefont{Dorband}}, + \bibnamefont{and} \bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Tiglio}}, + \emph{\bibinfo{title}{A multi-block infrastructure for three-dimensional + time-dependent numerical relativity}}, \bibinfo{journal}{Class. Quantum + Grav.} \textbf{\bibinfo{volume}{23}}, \bibinfo{pages}{S553} + (\bibinfo{year}{2006}), \eprint{arXiv:gr-qc/0602104}, + \urlprefix\url{http://arxiv.org/abs/gr-qc/0602104}. + +\bibitem[{Carpet()}]{ES-carpetweb} +Carpet, \bibinfo{note}{mesh Refinement with {Carpet}}, + \urlprefix\url{http://www.carpetcode.org/}. + +\bibitem[{\citenamefont{Brown et~al.}(2009)\citenamefont{Brown, Diener, + Sarbach, Schnetter, and Tiglio}}]{ES-Brown2007b} +\bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Brown}}, + \bibinfo{author}{\bibfnamefont{P.}~\bibnamefont{Diener}}, + \bibinfo{author}{\bibfnamefont{O.}~\bibnamefont{Sarbach}}, + \bibinfo{author}{\bibfnamefont{E.}~\bibnamefont{Schnetter}}, + \bibnamefont{and} \bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Tiglio}}, + \emph{\bibinfo{title}{Turduckening black holes: an analytical and + computational study}}, \bibinfo{journal}{Phys. Rev. D} + \textbf{\bibinfo{volume}{79}}, \bibinfo{pages}{044023} + (\bibinfo{year}{2009}), \eprint{arXiv:0809.3533 [gr-qc]}, + \urlprefix\url{http://arxiv.org/abs/0809.3533}. + +\bibitem[{McLachlan()}]{ES-mclachlanweb} +McLachlan, \bibinfo{note}{{McLachlan}, a Public {BSSN} Code}, + \urlprefix\url{http://www.cct.lsu.edu/~eschnett/McLachlan/}. + +\bibitem[{\citenamefont{Lechner et~al.}(2004)\citenamefont{Lechner, Alic, and + Husa}}]{kranc04} +\bibinfo{author}{\bibfnamefont{C.}~\bibnamefont{Lechner}}, + \bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Alic}}, \bibnamefont{and} + \bibinfo{author}{\bibfnamefont{S.}~\bibnamefont{Husa}}, + \emph{\bibinfo{title}{From tensor equations to numerical code --- computer + algebra tools for numerical relativity}}, in \emph{\bibinfo{booktitle}{SYNASC + 2004 --- 6th International Symposium on Symbolic and Numeric Algorithms for + Scientific Computing, Timisoara, Romania}} (\bibinfo{year}{2004}), + \eprint{cs.SC/0411063}, \urlprefix\url{http://arxiv.org/abs/cs.SC/0411063}. + +\bibitem[{\citenamefont{Husa et~al.}(2006)\citenamefont{Husa, Hinder, and + Lechner}}]{Husa:2004ip} +\bibinfo{author}{\bibfnamefont{S.}~\bibnamefont{Husa}}, + \bibinfo{author}{\bibfnamefont{I.}~\bibnamefont{Hinder}}, \bibnamefont{and} + \bibinfo{author}{\bibfnamefont{C.}~\bibnamefont{Lechner}}, + \emph{\bibinfo{title}{Kranc: a {Mathematica} application to generate + numerical codes for tensorial evolution equations}}, + \bibinfo{journal}{Comput. Phys. Comm.} \textbf{\bibinfo{volume}{174}}, + \bibinfo{pages}{983} (\bibinfo{year}{2006}), \eprint{gr-qc/0404023}. + +\bibitem[{kra()}]{krancweb} +\bibinfo{note}{{Kranc}: Automated Code Generation}, + \urlprefix\url{http://numrel.aei.mpg.de/Research/Kranc/}. + +\bibitem[{Kranc()}]{ES-krancweb} +Kranc, \bibinfo{note}{{Kranc}: Automated Code Generation}, + \urlprefix\url{http://www.cct.lsu.edu/~eschnett/Kranc/}. + +\bibitem[{SimFactory()}]{ES-simfactoryweb} +SimFactory, \bibinfo{note}{{SimFactory}: Herding Numerical Simulations}, + \urlprefix\url{http://www.cct.lsu.edu/~eschnett/SimFactory/}. + +\end{thebibliography} diff --git a/doc/mclachlan.blg b/doc/mclachlan.blg new file mode 100644 index 0000000..2be77e4 --- /dev/null +++ b/doc/mclachlan.blg @@ -0,0 +1,47 @@ +This is BibTeX, Version 0.99c (Web2C 7.5.6) +The top-level auxiliary file: mclachlan.aux +The style file: apsrev-titles-manyauthors.bst +Database file #1: references.bib +Database file #2: publications-schnetter.bib +Reallocated wiz_functions (elt_size=4) to 6000 items from 3000. +You've used 15 entries, + 3482 wiz_defined-function locations, + 1245 strings with 12424 characters, +and the built_in function-call counts, 7627 in all, are: += -- 456 +> -- 206 +< -- 25 ++ -- 198 +- -- 50 +* -- 965 +:= -- 808 +add.period$ -- 15 +call.type$ -- 15 +change.case$ -- 68 +chr.to.int$ -- 15 +cite$ -- 23 +duplicate$ -- 710 +empty$ -- 694 +format.name$ -- 118 +if$ -- 1443 +int.to.chr$ -- 1 +int.to.str$ -- 16 +missing$ -- 103 +newline$ -- 60 +num.names$ -- 18 +pop$ -- 268 +preamble$ -- 1 +purify$ -- 60 +quote$ -- 0 +skip$ -- 286 +stack$ -- 0 +substring$ -- 250 +swap$ -- 460 +text.length$ -- 25 +text.prefix$ -- 0 +top$ -- 0 +type$ -- 90 +warning$ -- 0 +while$ -- 16 +width$ -- 0 +write$ -- 164 diff --git a/doc/mclachlan.log b/doc/mclachlan.log new file mode 100644 index 0000000..1250ee3 --- /dev/null +++ b/doc/mclachlan.log @@ -0,0 +1,338 @@ +This is pdfTeX, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2009.7.3) 9 SEP 2009 08:28 +entering extended mode +**\nonstopmode \input{/Users/eschnett/Calpha/arrangements/McLachlan/doc/mclachl +an.tex} +(/Users/eschnett/Calpha/arrangements/McLachlan/doc/mclachlan.tex +(/opt/local/share/texmf-dist/tex/latex/revtex/revtex4.cls +Document Class: revtex4 2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for do +cumentation) + Copyright (c) 2001 The American Physical Society. + mailto:revtex@aps.org + Licensed under the LPPL: +http://www.ctan.org/tex-archive/macros/latex/base/lppl.txt + Arthur Ogawa <ogawa@teleport.com> + Based on work by David Carlisle <david@dcarlisle.demon.co.uk>. +ltxutil: portions licensed from W. 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