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-rw-r--r--Examples/EMScript/src/Differencing.h579
1 files changed, 291 insertions, 288 deletions
diff --git a/Examples/EMScript/src/Differencing.h b/Examples/EMScript/src/Differencing.h
index 98de1a1..1933a29 100644
--- a/Examples/EMScript/src/Differencing.h
+++ b/Examples/EMScript/src/Differencing.h
@@ -1,288 +1,291 @@
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder21(u) ((-KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx)
-#else
-# define PDstandardfdOrder21(u) (PDstandardfdOrder21_impl(u,p1o2dx,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder22(u) ((-KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy)
-#else
-# define PDstandardfdOrder22(u) (PDstandardfdOrder22_impl(u,p1o2dy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder23(u) ((-KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz)
-#else
-# define PDstandardfdOrder23(u) (PDstandardfdOrder23_impl(u,p1o2dz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder41(u) ((-8*KRANC_GFOFFSET3D(u,-1,0,0) + 8*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx)
-#else
-# define PDstandardfdOrder41(u) (PDstandardfdOrder41_impl(u,p1o12dx,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-8*KRANC_GFOFFSET3D(u,-1,0,0) + 8*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder42(u) ((-8*KRANC_GFOFFSET3D(u,0,-1,0) + 8*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy)
-#else
-# define PDstandardfdOrder42(u) (PDstandardfdOrder42_impl(u,p1o12dy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-8*KRANC_GFOFFSET3D(u,0,-1,0) + 8*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder43(u) ((-8*KRANC_GFOFFSET3D(u,0,0,-1) + 8*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz)
-#else
-# define PDstandardfdOrder43(u) (PDstandardfdOrder43_impl(u,p1o12dz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-8*KRANC_GFOFFSET3D(u,0,0,-1) + 8*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder211(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2)
-#else
-# define PDstandardfdOrder211(u) (PDstandardfdOrder211_impl(u,p1odx2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder222(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2)
-#else
-# define PDstandardfdOrder222(u) (PDstandardfdOrder222_impl(u,p1ody2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder233(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2)
-#else
-# define PDstandardfdOrder233(u) (PDstandardfdOrder233_impl(u,p1odz2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder411(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2)
-#else
-# define PDstandardfdOrder411(u) (PDstandardfdOrder411_impl(u,pm1o12dx2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder422(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2)
-#else
-# define PDstandardfdOrder422(u) (PDstandardfdOrder422_impl(u,pm1o12dy2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder433(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2)
-#else
-# define PDstandardfdOrder433(u) (PDstandardfdOrder433_impl(u,pm1o12dz2,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder212(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
-#else
-# define PDstandardfdOrder212(u) (PDstandardfdOrder212_impl(u,p1o4dxdy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder213(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
-#else
-# define PDstandardfdOrder213(u) (PDstandardfdOrder213_impl(u,p1o4dxdz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder221(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
-#else
-# define PDstandardfdOrder221(u) (PDstandardfdOrder221_impl(u,p1o4dxdy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder223(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
-#else
-# define PDstandardfdOrder223(u) (PDstandardfdOrder223_impl(u,p1o4dydz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder231(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
-#else
-# define PDstandardfdOrder231(u) (PDstandardfdOrder231_impl(u,p1o4dxdz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder232(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
-#else
-# define PDstandardfdOrder232(u) (PDstandardfdOrder232_impl(u,p1o4dydz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder412(u) ((-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
-#else
-# define PDstandardfdOrder412(u) (PDstandardfdOrder412_impl(u,p1o144dxdy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder413(u) ((-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
-#else
-# define PDstandardfdOrder413(u) (PDstandardfdOrder413_impl(u,p1o144dxdz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder421(u) ((-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
-#else
-# define PDstandardfdOrder421(u) (PDstandardfdOrder421_impl(u,p1o144dxdy,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder423(u) ((-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
-#else
-# define PDstandardfdOrder423(u) (PDstandardfdOrder423_impl(u,p1o144dydz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder431(u) ((-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
-#else
-# define PDstandardfdOrder431(u) (PDstandardfdOrder431_impl(u,p1o144dxdz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
-}
-#endif
-
-#ifndef KRANC_DIFF_FUNCTIONS
-# define PDstandardfdOrder432(u) ((-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
-#else
-# define PDstandardfdOrder432(u) (PDstandardfdOrder432_impl(u,p1o144dydz,cdj,cdk))
-static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
-static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
-{
- ptrdiff_t const cdi=sizeof(CCTK_REAL);
- return (-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
-}
-#endif
-
+static char const * const differencing =
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder21(u) (kmul(p1o2dx,ksub(KRANC_GFOFFSET3D(u,1,0,0),KRANC_GFOFFSET3D(u,-1,0,0))))\n"
+"#else\n"
+"# define PDstandardfdOrder21(u) (PDstandardfdOrder21_impl(u,p1o2dx,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o2dx,ksub(KRANC_GFOFFSET3D(u,1,0,0),KRANC_GFOFFSET3D(u,-1,0,0)));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder22(u) (kmul(p1o2dy,ksub(KRANC_GFOFFSET3D(u,0,1,0),KRANC_GFOFFSET3D(u,0,-1,0))))\n"
+"#else\n"
+"# define PDstandardfdOrder22(u) (PDstandardfdOrder22_impl(u,p1o2dy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o2dy,ksub(KRANC_GFOFFSET3D(u,0,1,0),KRANC_GFOFFSET3D(u,0,-1,0)));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder23(u) (kmul(p1o2dz,ksub(KRANC_GFOFFSET3D(u,0,0,1),KRANC_GFOFFSET3D(u,0,0,-1))))\n"
+"#else\n"
+"# define PDstandardfdOrder23(u) (PDstandardfdOrder23_impl(u,p1o2dz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o2dz,ksub(KRANC_GFOFFSET3D(u,0,0,1),KRANC_GFOFFSET3D(u,0,0,-1)));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder41(u) (kmul(p1o12dx,kadd(KRANC_GFOFFSET3D(u,-2,0,0),kmadd(KRANC_GFOFFSET3D(u,-1,0,0),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,1,0,0),ToReal(8),KRANC_GFOFFSET3D(u,2,0,0))))))\n"
+"#else\n"
+"# define PDstandardfdOrder41(u) (PDstandardfdOrder41_impl(u,p1o12dx,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o12dx,kadd(KRANC_GFOFFSET3D(u,-2,0,0),kmadd(KRANC_GFOFFSET3D(u,-1,0,0),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,1,0,0),ToReal(8),KRANC_GFOFFSET3D(u,2,0,0)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder42(u) (kmul(p1o12dy,kadd(KRANC_GFOFFSET3D(u,0,-2,0),kmadd(KRANC_GFOFFSET3D(u,0,-1,0),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,0,1,0),ToReal(8),KRANC_GFOFFSET3D(u,0,2,0))))))\n"
+"#else\n"
+"# define PDstandardfdOrder42(u) (PDstandardfdOrder42_impl(u,p1o12dy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o12dy,kadd(KRANC_GFOFFSET3D(u,0,-2,0),kmadd(KRANC_GFOFFSET3D(u,0,-1,0),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,0,1,0),ToReal(8),KRANC_GFOFFSET3D(u,0,2,0)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder43(u) (kmul(p1o12dz,kadd(KRANC_GFOFFSET3D(u,0,0,-2),kmadd(KRANC_GFOFFSET3D(u,0,0,-1),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,0,0,1),ToReal(8),KRANC_GFOFFSET3D(u,0,0,2))))))\n"
+"#else\n"
+"# define PDstandardfdOrder43(u) (PDstandardfdOrder43_impl(u,p1o12dz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o12dz,kadd(KRANC_GFOFFSET3D(u,0,0,-2),kmadd(KRANC_GFOFFSET3D(u,0,0,-1),ToReal(-8),kmsub(KRANC_GFOFFSET3D(u,0,0,1),ToReal(8),KRANC_GFOFFSET3D(u,0,0,2)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder211(u) (kmul(p1odx2,kadd(KRANC_GFOFFSET3D(u,-1,0,0),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,1,0,0)))))\n"
+"#else\n"
+"# define PDstandardfdOrder211(u) (PDstandardfdOrder211_impl(u,p1odx2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1odx2,kadd(KRANC_GFOFFSET3D(u,-1,0,0),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,1,0,0))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder222(u) (kmul(p1ody2,kadd(KRANC_GFOFFSET3D(u,0,-1,0),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,0,1,0)))))\n"
+"#else\n"
+"# define PDstandardfdOrder222(u) (PDstandardfdOrder222_impl(u,p1ody2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1ody2,kadd(KRANC_GFOFFSET3D(u,0,-1,0),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,0,1,0))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder233(u) (kmul(p1odz2,kadd(KRANC_GFOFFSET3D(u,0,0,-1),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,0,0,1)))))\n"
+"#else\n"
+"# define PDstandardfdOrder233(u) (PDstandardfdOrder233_impl(u,p1odz2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1odz2,kadd(KRANC_GFOFFSET3D(u,0,0,-1),kmadd(KRANC_GFOFFSET3D(u,0,0,0),ToReal(-2),KRANC_GFOFFSET3D(u,0,0,1))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder411(u) (kmul(pm1o12dx2,kadd(KRANC_GFOFFSET3D(u,-2,0,0),kadd(KRANC_GFOFFSET3D(u,2,0,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,0),KRANC_GFOFFSET3D(u,1,0,0)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30)))))))\n"
+"#else\n"
+"# define PDstandardfdOrder411(u) (PDstandardfdOrder411_impl(u,pm1o12dx2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(pm1o12dx2,kadd(KRANC_GFOFFSET3D(u,-2,0,0),kadd(KRANC_GFOFFSET3D(u,2,0,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,0),KRANC_GFOFFSET3D(u,1,0,0)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder422(u) (kmul(pm1o12dy2,kadd(KRANC_GFOFFSET3D(u,0,-2,0),kadd(KRANC_GFOFFSET3D(u,0,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,0),KRANC_GFOFFSET3D(u,0,1,0)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30)))))))\n"
+"#else\n"
+"# define PDstandardfdOrder422(u) (PDstandardfdOrder422_impl(u,pm1o12dy2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(pm1o12dy2,kadd(KRANC_GFOFFSET3D(u,0,-2,0),kadd(KRANC_GFOFFSET3D(u,0,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,0),KRANC_GFOFFSET3D(u,0,1,0)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder433(u) (kmul(pm1o12dz2,kadd(KRANC_GFOFFSET3D(u,0,0,-2),kadd(KRANC_GFOFFSET3D(u,0,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,0,-1),KRANC_GFOFFSET3D(u,0,0,1)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30)))))))\n"
+"#else\n"
+"# define PDstandardfdOrder433(u) (PDstandardfdOrder433_impl(u,pm1o12dz2,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(pm1o12dz2,kadd(KRANC_GFOFFSET3D(u,0,0,-2),kadd(KRANC_GFOFFSET3D(u,0,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,0,-1),KRANC_GFOFFSET3D(u,0,0,1)),ToReal(-16),kmul(KRANC_GFOFFSET3D(u,0,0,0),ToReal(30))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder212(u) (kmul(p1o4dxdy,kadd(KRANC_GFOFFSET3D(u,-1,-1,0),ksub(KRANC_GFOFFSET3D(u,1,1,0),kadd(KRANC_GFOFFSET3D(u,1,-1,0),KRANC_GFOFFSET3D(u,-1,1,0))))))\n"
+"#else\n"
+"# define PDstandardfdOrder212(u) (PDstandardfdOrder212_impl(u,p1o4dxdy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dxdy,kadd(KRANC_GFOFFSET3D(u,-1,-1,0),ksub(KRANC_GFOFFSET3D(u,1,1,0),kadd(KRANC_GFOFFSET3D(u,1,-1,0),KRANC_GFOFFSET3D(u,-1,1,0)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder213(u) (kmul(p1o4dxdz,kadd(KRANC_GFOFFSET3D(u,-1,0,-1),ksub(KRANC_GFOFFSET3D(u,1,0,1),kadd(KRANC_GFOFFSET3D(u,1,0,-1),KRANC_GFOFFSET3D(u,-1,0,1))))))\n"
+"#else\n"
+"# define PDstandardfdOrder213(u) (PDstandardfdOrder213_impl(u,p1o4dxdz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dxdz,kadd(KRANC_GFOFFSET3D(u,-1,0,-1),ksub(KRANC_GFOFFSET3D(u,1,0,1),kadd(KRANC_GFOFFSET3D(u,1,0,-1),KRANC_GFOFFSET3D(u,-1,0,1)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder221(u) (kmul(p1o4dxdy,kadd(KRANC_GFOFFSET3D(u,-1,-1,0),ksub(KRANC_GFOFFSET3D(u,1,1,0),kadd(KRANC_GFOFFSET3D(u,1,-1,0),KRANC_GFOFFSET3D(u,-1,1,0))))))\n"
+"#else\n"
+"# define PDstandardfdOrder221(u) (PDstandardfdOrder221_impl(u,p1o4dxdy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dxdy,kadd(KRANC_GFOFFSET3D(u,-1,-1,0),ksub(KRANC_GFOFFSET3D(u,1,1,0),kadd(KRANC_GFOFFSET3D(u,1,-1,0),KRANC_GFOFFSET3D(u,-1,1,0)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder223(u) (kmul(p1o4dydz,kadd(KRANC_GFOFFSET3D(u,0,-1,-1),ksub(KRANC_GFOFFSET3D(u,0,1,1),kadd(KRANC_GFOFFSET3D(u,0,1,-1),KRANC_GFOFFSET3D(u,0,-1,1))))))\n"
+"#else\n"
+"# define PDstandardfdOrder223(u) (PDstandardfdOrder223_impl(u,p1o4dydz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dydz,kadd(KRANC_GFOFFSET3D(u,0,-1,-1),ksub(KRANC_GFOFFSET3D(u,0,1,1),kadd(KRANC_GFOFFSET3D(u,0,1,-1),KRANC_GFOFFSET3D(u,0,-1,1)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder231(u) (kmul(p1o4dxdz,kadd(KRANC_GFOFFSET3D(u,-1,0,-1),ksub(KRANC_GFOFFSET3D(u,1,0,1),kadd(KRANC_GFOFFSET3D(u,1,0,-1),KRANC_GFOFFSET3D(u,-1,0,1))))))\n"
+"#else\n"
+"# define PDstandardfdOrder231(u) (PDstandardfdOrder231_impl(u,p1o4dxdz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dxdz,kadd(KRANC_GFOFFSET3D(u,-1,0,-1),ksub(KRANC_GFOFFSET3D(u,1,0,1),kadd(KRANC_GFOFFSET3D(u,1,0,-1),KRANC_GFOFFSET3D(u,-1,0,1)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder232(u) (kmul(p1o4dydz,kadd(KRANC_GFOFFSET3D(u,0,-1,-1),ksub(KRANC_GFOFFSET3D(u,0,1,1),kadd(KRANC_GFOFFSET3D(u,0,1,-1),KRANC_GFOFFSET3D(u,0,-1,1))))))\n"
+"#else\n"
+"# define PDstandardfdOrder232(u) (PDstandardfdOrder232_impl(u,p1o4dydz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o4dydz,kadd(KRANC_GFOFFSET3D(u,0,-1,-1),ksub(KRANC_GFOFFSET3D(u,0,1,1),kadd(KRANC_GFOFFSET3D(u,0,1,-1),KRANC_GFOFFSET3D(u,0,-1,1)))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder412(u) (kmul(p1o144dxdy,kadd(KRANC_GFOFFSET3D(u,-2,-2,0),kadd(KRANC_GFOFFSET3D(u,2,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,1,0),KRANC_GFOFFSET3D(u,1,-1,0)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,-2,0),kadd(KRANC_GFOFFSET3D(u,1,2,0),kadd(KRANC_GFOFFSET3D(u,-2,-1,0),KRANC_GFOFFSET3D(u,2,1,0)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,2,0),kadd(KRANC_GFOFFSET3D(u,1,-2,0),kadd(KRANC_GFOFFSET3D(u,-2,1,0),KRANC_GFOFFSET3D(u,2,-1,0)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,-1,0),KRANC_GFOFFSET3D(u,1,1,0)),ToReal(64))),KRANC_GFOFFSET3D(u,2,-2,0)),KRANC_GFOFFSET3D(u,-2,2,0))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder412(u) (PDstandardfdOrder412_impl(u,p1o144dxdy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dxdy,kadd(KRANC_GFOFFSET3D(u,-2,-2,0),kadd(KRANC_GFOFFSET3D(u,2,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,1,0),KRANC_GFOFFSET3D(u,1,-1,0)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,-2,0),kadd(KRANC_GFOFFSET3D(u,1,2,0),kadd(KRANC_GFOFFSET3D(u,-2,-1,0),KRANC_GFOFFSET3D(u,2,1,0)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,2,0),kadd(KRANC_GFOFFSET3D(u,1,-2,0),kadd(KRANC_GFOFFSET3D(u,-2,1,0),KRANC_GFOFFSET3D(u,2,-1,0)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,-1,0),KRANC_GFOFFSET3D(u,1,1,0)),ToReal(64))),KRANC_GFOFFSET3D(u,2,-2,0)),KRANC_GFOFFSET3D(u,-2,2,0)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder413(u) (kmul(p1o144dxdz,kadd(KRANC_GFOFFSET3D(u,-2,0,-2),kadd(KRANC_GFOFFSET3D(u,2,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,1),KRANC_GFOFFSET3D(u,1,0,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,-2),kadd(KRANC_GFOFFSET3D(u,1,0,2),kadd(KRANC_GFOFFSET3D(u,-2,0,-1),KRANC_GFOFFSET3D(u,2,0,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,2),kadd(KRANC_GFOFFSET3D(u,1,0,-2),kadd(KRANC_GFOFFSET3D(u,-2,0,1),KRANC_GFOFFSET3D(u,2,0,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,0,-1),KRANC_GFOFFSET3D(u,1,0,1)),ToReal(64))),KRANC_GFOFFSET3D(u,2,0,-2)),KRANC_GFOFFSET3D(u,-2,0,2))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder413(u) (PDstandardfdOrder413_impl(u,p1o144dxdz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dxdz,kadd(KRANC_GFOFFSET3D(u,-2,0,-2),kadd(KRANC_GFOFFSET3D(u,2,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,1),KRANC_GFOFFSET3D(u,1,0,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,-2),kadd(KRANC_GFOFFSET3D(u,1,0,2),kadd(KRANC_GFOFFSET3D(u,-2,0,-1),KRANC_GFOFFSET3D(u,2,0,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,2),kadd(KRANC_GFOFFSET3D(u,1,0,-2),kadd(KRANC_GFOFFSET3D(u,-2,0,1),KRANC_GFOFFSET3D(u,2,0,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,0,-1),KRANC_GFOFFSET3D(u,1,0,1)),ToReal(64))),KRANC_GFOFFSET3D(u,2,0,-2)),KRANC_GFOFFSET3D(u,-2,0,2)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder421(u) (kmul(p1o144dxdy,kadd(KRANC_GFOFFSET3D(u,-2,-2,0),kadd(KRANC_GFOFFSET3D(u,2,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,1,0),KRANC_GFOFFSET3D(u,1,-1,0)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,-2,0),kadd(KRANC_GFOFFSET3D(u,1,2,0),kadd(KRANC_GFOFFSET3D(u,-2,-1,0),KRANC_GFOFFSET3D(u,2,1,0)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,2,0),kadd(KRANC_GFOFFSET3D(u,1,-2,0),kadd(KRANC_GFOFFSET3D(u,-2,1,0),KRANC_GFOFFSET3D(u,2,-1,0)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,-1,0),KRANC_GFOFFSET3D(u,1,1,0)),ToReal(64))),KRANC_GFOFFSET3D(u,2,-2,0)),KRANC_GFOFFSET3D(u,-2,2,0))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder421(u) (PDstandardfdOrder421_impl(u,p1o144dxdy,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dxdy,kadd(KRANC_GFOFFSET3D(u,-2,-2,0),kadd(KRANC_GFOFFSET3D(u,2,2,0),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,1,0),KRANC_GFOFFSET3D(u,1,-1,0)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,-2,0),kadd(KRANC_GFOFFSET3D(u,1,2,0),kadd(KRANC_GFOFFSET3D(u,-2,-1,0),KRANC_GFOFFSET3D(u,2,1,0)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,2,0),kadd(KRANC_GFOFFSET3D(u,1,-2,0),kadd(KRANC_GFOFFSET3D(u,-2,1,0),KRANC_GFOFFSET3D(u,2,-1,0)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,-1,0),KRANC_GFOFFSET3D(u,1,1,0)),ToReal(64))),KRANC_GFOFFSET3D(u,2,-2,0)),KRANC_GFOFFSET3D(u,-2,2,0)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder423(u) (kmul(p1o144dydz,kadd(KRANC_GFOFFSET3D(u,0,-2,-2),kadd(KRANC_GFOFFSET3D(u,0,2,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,1),KRANC_GFOFFSET3D(u,0,1,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,-2),kadd(KRANC_GFOFFSET3D(u,0,1,2),kadd(KRANC_GFOFFSET3D(u,0,-2,-1),KRANC_GFOFFSET3D(u,0,2,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,2),kadd(KRANC_GFOFFSET3D(u,0,1,-2),kadd(KRANC_GFOFFSET3D(u,0,-2,1),KRANC_GFOFFSET3D(u,0,2,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,0,-1,-1),KRANC_GFOFFSET3D(u,0,1,1)),ToReal(64))),KRANC_GFOFFSET3D(u,0,2,-2)),KRANC_GFOFFSET3D(u,0,-2,2))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder423(u) (PDstandardfdOrder423_impl(u,p1o144dydz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dydz,kadd(KRANC_GFOFFSET3D(u,0,-2,-2),kadd(KRANC_GFOFFSET3D(u,0,2,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,1),KRANC_GFOFFSET3D(u,0,1,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,-2),kadd(KRANC_GFOFFSET3D(u,0,1,2),kadd(KRANC_GFOFFSET3D(u,0,-2,-1),KRANC_GFOFFSET3D(u,0,2,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,2),kadd(KRANC_GFOFFSET3D(u,0,1,-2),kadd(KRANC_GFOFFSET3D(u,0,-2,1),KRANC_GFOFFSET3D(u,0,2,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,0,-1,-1),KRANC_GFOFFSET3D(u,0,1,1)),ToReal(64))),KRANC_GFOFFSET3D(u,0,2,-2)),KRANC_GFOFFSET3D(u,0,-2,2)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder431(u) (kmul(p1o144dxdz,kadd(KRANC_GFOFFSET3D(u,-2,0,-2),kadd(KRANC_GFOFFSET3D(u,2,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,1),KRANC_GFOFFSET3D(u,1,0,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,-2),kadd(KRANC_GFOFFSET3D(u,1,0,2),kadd(KRANC_GFOFFSET3D(u,-2,0,-1),KRANC_GFOFFSET3D(u,2,0,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,2),kadd(KRANC_GFOFFSET3D(u,1,0,-2),kadd(KRANC_GFOFFSET3D(u,-2,0,1),KRANC_GFOFFSET3D(u,2,0,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,0,-1),KRANC_GFOFFSET3D(u,1,0,1)),ToReal(64))),KRANC_GFOFFSET3D(u,2,0,-2)),KRANC_GFOFFSET3D(u,-2,0,2))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder431(u) (PDstandardfdOrder431_impl(u,p1o144dxdz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dxdz,kadd(KRANC_GFOFFSET3D(u,-2,0,-2),kadd(KRANC_GFOFFSET3D(u,2,0,2),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,1),KRANC_GFOFFSET3D(u,1,0,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,-2),kadd(KRANC_GFOFFSET3D(u,1,0,2),kadd(KRANC_GFOFFSET3D(u,-2,0,-1),KRANC_GFOFFSET3D(u,2,0,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,-1,0,2),kadd(KRANC_GFOFFSET3D(u,1,0,-2),kadd(KRANC_GFOFFSET3D(u,-2,0,1),KRANC_GFOFFSET3D(u,2,0,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,-1,0,-1),KRANC_GFOFFSET3D(u,1,0,1)),ToReal(64))),KRANC_GFOFFSET3D(u,2,0,-2)),KRANC_GFOFFSET3D(u,-2,0,2)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+"#ifndef KRANC_DIFF_FUNCTIONS\n"
+"# define PDstandardfdOrder432(u) (kmul(p1o144dydz,kadd(KRANC_GFOFFSET3D(u,0,-2,-2),kadd(KRANC_GFOFFSET3D(u,0,2,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,1),KRANC_GFOFFSET3D(u,0,1,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,-2),kadd(KRANC_GFOFFSET3D(u,0,1,2),kadd(KRANC_GFOFFSET3D(u,0,-2,-1),KRANC_GFOFFSET3D(u,0,2,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,2),kadd(KRANC_GFOFFSET3D(u,0,1,-2),kadd(KRANC_GFOFFSET3D(u,0,-2,1),KRANC_GFOFFSET3D(u,0,2,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,0,-1,-1),KRANC_GFOFFSET3D(u,0,1,1)),ToReal(64))),KRANC_GFOFFSET3D(u,0,2,-2)),KRANC_GFOFFSET3D(u,0,-2,2))))))))\n"
+"#else\n"
+"# define PDstandardfdOrder432(u) (PDstandardfdOrder432_impl(u,p1o144dydz,cdj,cdk))\n"
+"static CCTK_REAL_VEC PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;\n"
+"static CCTK_REAL_VEC PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL_VEC const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)\n"
+"{\n"
+" ptrdiff_t const cdi=sizeof(CCTK_REAL);\n"
+" return kmul(p1o144dydz,kadd(KRANC_GFOFFSET3D(u,0,-2,-2),kadd(KRANC_GFOFFSET3D(u,0,2,2),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,1),KRANC_GFOFFSET3D(u,0,1,-1)),ToReal(-64),kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,-2),kadd(KRANC_GFOFFSET3D(u,0,1,2),kadd(KRANC_GFOFFSET3D(u,0,-2,-1),KRANC_GFOFFSET3D(u,0,2,1)))),ToReal(-8),ksub(ksub(kmadd(kadd(KRANC_GFOFFSET3D(u,0,-1,2),kadd(KRANC_GFOFFSET3D(u,0,1,-2),kadd(KRANC_GFOFFSET3D(u,0,-2,1),KRANC_GFOFFSET3D(u,0,2,-1)))),ToReal(8),kmul(kadd(KRANC_GFOFFSET3D(u,0,-1,-1),KRANC_GFOFFSET3D(u,0,1,1)),ToReal(64))),KRANC_GFOFFSET3D(u,0,2,-2)),KRANC_GFOFFSET3D(u,0,-2,2)))))));\n"
+"}\n"
+"#endif\n"
+"\n"
+""
+;