diff options
Diffstat (limited to 'src/Differencing.h')
| -rw-r--r-- | src/Differencing.h | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/src/Differencing.h b/src/Differencing.h new file mode 100644 index 0000000..220d0d5 --- /dev/null +++ b/src/Differencing.h @@ -0,0 +1,42 @@ +#define PDstandard2nd1(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 PDstandard2nd2(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 PDstandard2nd3(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 PDstandard2nd11(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 PDstandard2nd22(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 PDstandard2nd33(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 PDstandard2nd12(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 PDstandard2nd13(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 PDstandard2nd21(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 PDstandard2nd23(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 PDstandard2nd31(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 PDstandard2nd32(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 PDstandard4th1(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 PDstandard4th2(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 PDstandard4th3(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 PDstandard4th11(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 PDstandard4th22(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 PDstandard4th33(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 PDstandard4th12(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 PDstandard4th13(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 PDstandard4th21(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 PDstandard4th23(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 PDstandard4th31(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 PDstandard4th32(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 PDplus1(u,i,j,k) (p1odx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus2(u,i,j,k) (p1ody*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus3(u,i,j,k) (p1odz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDminus1(u,i,j,k) (p1odx*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDminus2(u,i,j,k) (p1ody*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDminus3(u,i,j,k) (p1odz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus11(u,i,j,k) (p1odx2*(-2*(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)(i),(int)(j),(int)(k))])) +#define PDplus12(u,i,j,k) (p1odxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus13(u,i,j,k) (p1odxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus21(u,i,j,k) (p1odxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus22(u,i,j,k) (p1ody2*(-2*(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)(j),(int)(k))])) +#define PDplus23(u,i,j,k) (p1odydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus31(u,i,j,k) (p1odxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus32(u,i,j,k) (p1odydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])) +#define PDplus33(u,i,j,k) (p1odz2*(-2*(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)(k))])) +#define PDonesided2nd1(u,i,j,k) (pm1o2dx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 2*dir(1)),(int)(j),(int)(k))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir(1)),(int)(j),(int)(k))] + 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir(1)) +#define PDonesided2nd2(u,i,j,k) (pm1o2dy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 2*dir(2)),(int)(k))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir(2)),(int)(k))] + 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir(2)) +#define PDonesided2nd3(u,i,j,k) (pm1o2dz*(3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 2*dir(3)))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir(3)))])*dir(3)) |