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Diffstat (limited to 'Examples/WaveCaKernelScript/src/Differencing.h')
| -rw-r--r-- | Examples/WaveCaKernelScript/src/Differencing.h | 288 |
1 files changed, 288 insertions, 0 deletions
diff --git a/Examples/WaveCaKernelScript/src/Differencing.h b/Examples/WaveCaKernelScript/src/Differencing.h new file mode 100644 index 0000000..98de1a1 --- /dev/null +++ b/Examples/WaveCaKernelScript/src/Differencing.h @@ -0,0 +1,288 @@ +#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 + |