diff options
| author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-05-03 12:55:21 -0500 |
|---|---|---|
| committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-05-03 12:55:21 -0500 |
| commit | 376eca95c980bdead0f6c12d8c47a73312cdbfae (patch) | |
| tree | 98d5cd055250c7499501b7d8aa16fd61eac2591b /ML_ADMQuantities | |
| parent | cd01945fcf1737cf09e03cfce0583803ed137960 (diff) | |
Regenerate code
Diffstat (limited to 'ML_ADMQuantities')
| -rw-r--r-- | ML_ADMQuantities/interface.ccl | 1 | ||||
| -rw-r--r-- | ML_ADMQuantities/src/Differencing.h | 36 | ||||
| -rw-r--r-- | ML_ADMQuantities/src/ML_ADMQuantities.c | 676 | ||||
| -rw-r--r-- | ML_ADMQuantities/src/ML_ADMQuantities.cc | 698 | ||||
| -rw-r--r-- | ML_ADMQuantities/src/make.code.defn | 2 |
5 files changed, 718 insertions, 695 deletions
diff --git a/ML_ADMQuantities/interface.ccl b/ML_ADMQuantities/interface.ccl index 6310390..1656e73 100644 --- a/ML_ADMQuantities/interface.ccl +++ b/ML_ADMQuantities/interface.ccl @@ -8,6 +8,7 @@ inherits: ADMBase ML_BSSN TmunuBase Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_ADMQuantities/src/Differencing.h b/ML_ADMQuantities/src/Differencing.h index 1cdce99..183d086 100644 --- a/ML_ADMQuantities/src/Differencing.h +++ b/ML_ADMQuantities/src/Differencing.h @@ -1,18 +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) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 8*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 8*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(2*dir1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3*dir1)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(-dir1)+dj*(0)+dk*(0)]) + 18*vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(2*dir2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3*dir2)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(-dir2)+dk*(0)]) + 18*vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2*dir3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3*dir3)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-dir3)]) + 18*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((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 deleted file mode 100644 index aa9c30a..0000000 --- a/ML_ADMQuantities/src/ML_ADMQuantities.c +++ /dev/null @@ -1,676 +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_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 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 rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + beta3L*eTtzL) + - 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL const S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*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.cc b/ML_ADMQuantities/src/ML_ADMQuantities.cc new file mode 100644 index 0000000..69ab690 --- /dev/null +++ b/ML_ADMQuantities/src/ML_ADMQuantities.cc @@ -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 "Vectors.hh" +#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)) + +static 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 */ + + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC xL = vec_load(x[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + CCTK_REAL_VEC yL = vec_load(y[index]); + CCTK_REAL_VEC zL = vec_load(z[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC dgtu111 = -2*(gtu11*gtu21*PDstandardNth1gt12 + + gtu11*gtu31*PDstandardNth1gt13 + gtu21*gtu31*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu11) - PDstandardNth1gt22*SQR(gtu21) - + PDstandardNth1gt33*SQR(gtu31); + + CCTK_REAL_VEC 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_VEC 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_VEC dgtu221 = -2*(gtu21*gtu22*PDstandardNth1gt12 + + gtu21*gtu32*PDstandardNth1gt13 + gtu22*gtu32*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu21) - PDstandardNth1gt22*SQR(gtu22) - + PDstandardNth1gt33*SQR(gtu32); + + CCTK_REAL_VEC 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_VEC dgtu331 = -2*(gtu31*gtu32*PDstandardNth1gt12 + + gtu31*gtu33*PDstandardNth1gt13 + gtu32*gtu33*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu31) - PDstandardNth1gt22*SQR(gtu32) - + PDstandardNth1gt33*SQR(gtu33); + + CCTK_REAL_VEC dgtu112 = -2*(gtu11*gtu21*PDstandardNth2gt12 + + gtu11*gtu31*PDstandardNth2gt13 + gtu21*gtu31*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu11) - PDstandardNth2gt22*SQR(gtu21) - + PDstandardNth2gt33*SQR(gtu31); + + CCTK_REAL_VEC 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_VEC 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_VEC dgtu222 = -2*(gtu21*gtu22*PDstandardNth2gt12 + + gtu21*gtu32*PDstandardNth2gt13 + gtu22*gtu32*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu21) - PDstandardNth2gt22*SQR(gtu22) - + PDstandardNth2gt33*SQR(gtu32); + + CCTK_REAL_VEC 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_VEC dgtu332 = -2*(gtu31*gtu32*PDstandardNth2gt12 + + gtu31*gtu33*PDstandardNth2gt13 + gtu32*gtu33*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu31) - PDstandardNth2gt22*SQR(gtu32) - + PDstandardNth2gt33*SQR(gtu33); + + CCTK_REAL_VEC dgtu113 = -2*(gtu11*gtu21*PDstandardNth3gt12 + + gtu11*gtu31*PDstandardNth3gt13 + gtu21*gtu31*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu11) - PDstandardNth3gt22*SQR(gtu21) - + PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL_VEC 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_VEC 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_VEC dgtu223 = -2*(gtu21*gtu22*PDstandardNth3gt12 + + gtu21*gtu32*PDstandardNth3gt13 + gtu22*gtu32*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu21) - PDstandardNth3gt22*SQR(gtu22) - + PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL_VEC 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_VEC dgtu333 = -2*(gtu31*gtu32*PDstandardNth3gt12 + + gtu31*gtu33*PDstandardNth3gt13 + gtu32*gtu33*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu31) - PDstandardNth3gt22*SQR(gtu32) - + PDstandardNth3gt33*SQR(gtu33); + + CCTK_REAL_VEC Gtl111 = khalf*PDstandardNth1gt11; + + CCTK_REAL_VEC Gtl112 = khalf*PDstandardNth2gt11; + + CCTK_REAL_VEC Gtl113 = khalf*PDstandardNth3gt11; + + CCTK_REAL_VEC Gtl122 = -(khalf*PDstandardNth1gt22) + + PDstandardNth2gt12; + + CCTK_REAL_VEC Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + + PDstandardNth3gt12); + + CCTK_REAL_VEC Gtl133 = -(khalf*PDstandardNth1gt33) + + PDstandardNth3gt13; + + CCTK_REAL_VEC Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; + + CCTK_REAL_VEC Gtl212 = khalf*PDstandardNth1gt22; + + CCTK_REAL_VEC Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + + PDstandardNth3gt12); + + CCTK_REAL_VEC Gtl222 = khalf*PDstandardNth2gt22; + + CCTK_REAL_VEC Gtl223 = khalf*PDstandardNth3gt22; + + CCTK_REAL_VEC Gtl233 = -(khalf*PDstandardNth2gt33) + + PDstandardNth3gt23; + + CCTK_REAL_VEC Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; + + CCTK_REAL_VEC Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 + - PDstandardNth3gt12); + + CCTK_REAL_VEC Gtl313 = khalf*PDstandardNth1gt33; + + CCTK_REAL_VEC Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; + + CCTK_REAL_VEC Gtl323 = khalf*PDstandardNth2gt33; + + CCTK_REAL_VEC Gtl333 = khalf*PDstandardNth3gt33; + + CCTK_REAL_VEC Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL_VEC Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL_VEC Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL_VEC Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL_VEC Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL_VEC Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL_VEC Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL_VEC Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL_VEC Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL_VEC Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL_VEC Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL_VEC Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL_VEC Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL_VEC Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL_VEC Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL_VEC Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL_VEC Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL_VEC Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL_VEC Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL_VEC Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL_VEC Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL_VEC Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL_VEC Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL_VEC Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL_VEC Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL_VEC Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL_VEC Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL_VEC Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL_VEC Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL_VEC Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL_VEC Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL_VEC Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL_VEC Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL_VEC Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL_VEC Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL_VEC Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL_VEC Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL_VEC Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL_VEC Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL_VEC Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL_VEC Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL_VEC Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL_VEC Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL_VEC Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL_VEC Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + + gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; + + CCTK_REAL_VEC ephi = + IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); + + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + + eTzzL*SQR(beta3L)); + + CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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 */ + vec_store_nta(Jadm1[index],Jadm1L); + vec_store_nta(Jadm2[index],Jadm2L); + vec_store_nta(Jadm3[index],Jadm3L); + vec_store_nta(Madm[index],MadmL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_ADMQuantities); +} + +extern "C" void ML_ADMQuantities(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_Body); +} diff --git a/ML_ADMQuantities/src/make.code.defn b/ML_ADMQuantities/src/make.code.defn index c58ef15..a8cc295 100644 --- a/ML_ADMQuantities/src/make.code.defn +++ b/ML_ADMQuantities/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMQuantities.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMQuantities.cc Boundaries.c |