diff options
Diffstat (limited to 'ML_CCZ4/src/ML_CCZ4_constraints2.cc')
-rw-r--r-- | ML_CCZ4/src/ML_CCZ4_constraints2.cc | 1004 |
1 files changed, 1004 insertions, 0 deletions
diff --git a/ML_CCZ4/src/ML_CCZ4_constraints2.cc b/ML_CCZ4/src/ML_CCZ4_constraints2.cc new file mode 100644 index 0000000..e5d87da --- /dev/null +++ b/ML_CCZ4/src/ML_CCZ4_constraints2.cc @@ -0,0 +1,1004 @@ +/* File produced by Kranc */ + +#define KRANC_C + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "GenericFD.h" +#include "Differencing.h" +#include "cctk_Loop.h" +#include "loopcontrol.h" +#include "vectors.h" + +/* Define macros used in calculations */ +#define INITVALUE (42) +#define QAD(x) (SQR(SQR(x))) +#define INV(x) (kdiv(ToReal(1.0),x)) +#define SQR(x) (kmul(x,x)) +#define CUB(x) (kmul(x,SQR(x))) + +extern "C" void ML_CCZ4_constraints2_SelectBCs(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_CCZ4::ML_cons_detg","flat"); + if (ierr < 0) + CCTK_WARN(1, "Failed to register flat BC for ML_CCZ4::ML_cons_detg."); + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_CCZ4::ML_cons_Gamma","flat"); + if (ierr < 0) + CCTK_WARN(1, "Failed to register flat BC for ML_CCZ4::ML_cons_Gamma."); + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_CCZ4::ML_cons_traceA","flat"); + if (ierr < 0) + CCTK_WARN(1, "Failed to register flat BC for ML_CCZ4::ML_cons_traceA."); + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_CCZ4::ML_mom","flat"); + if (ierr < 0) + CCTK_WARN(1, "Failed to register flat BC for ML_CCZ4::ML_mom."); + return; +} + +static void ML_CCZ4_constraints2_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 imin[3], int const imax[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + ptrdiff_t const di = 1; + ptrdiff_t const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + ptrdiff_t const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + ptrdiff_t const cdi = sizeof(CCTK_REAL) * di; + ptrdiff_t const cdj = sizeof(CCTK_REAL) * dj; + ptrdiff_t const cdk = sizeof(CCTK_REAL) * dk; + CCTK_REAL_VEC const dx = ToReal(CCTK_DELTA_SPACE(0)); + CCTK_REAL_VEC const dy = ToReal(CCTK_DELTA_SPACE(1)); + CCTK_REAL_VEC const dz = ToReal(CCTK_DELTA_SPACE(2)); + CCTK_REAL_VEC const dt = ToReal(CCTK_DELTA_TIME); + CCTK_REAL_VEC const t = ToReal(cctk_time); + CCTK_REAL_VEC const dxi = INV(dx); + CCTK_REAL_VEC const dyi = INV(dy); + CCTK_REAL_VEC const dzi = INV(dz); + CCTK_REAL_VEC const khalf = ToReal(0.5); + CCTK_REAL_VEC const kthird = ToReal(1.0/3.0); + CCTK_REAL_VEC const ktwothird = ToReal(2.0/3.0); + CCTK_REAL_VEC const kfourthird = ToReal(4.0/3.0); + CCTK_REAL_VEC const keightthird = ToReal(8.0/3.0); + CCTK_REAL_VEC const hdxi = kmul(ToReal(0.5), dxi); + CCTK_REAL_VEC const hdyi = kmul(ToReal(0.5), dyi); + CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi); + + /* Initialize predefined quantities */ + CCTK_REAL_VEC const p1o1024dx = kmul(INV(dx),ToReal(0.0009765625)); + CCTK_REAL_VEC const p1o1024dy = kmul(INV(dy),ToReal(0.0009765625)); + CCTK_REAL_VEC const p1o1024dz = kmul(INV(dz),ToReal(0.0009765625)); + CCTK_REAL_VEC const p1o120dx = kmul(INV(dx),ToReal(0.00833333333333333333333333333333)); + CCTK_REAL_VEC const p1o120dy = kmul(INV(dy),ToReal(0.00833333333333333333333333333333)); + CCTK_REAL_VEC const p1o120dz = kmul(INV(dz),ToReal(0.00833333333333333333333333333333)); + CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333)); + CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333)); + CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333)); + CCTK_REAL_VEC const p1o144dxdy = kmul(INV(kmul(dx,dy)),ToReal(0.00694444444444444444444444444444)); + CCTK_REAL_VEC const p1o144dxdz = kmul(INV(kmul(dx,dz)),ToReal(0.00694444444444444444444444444444)); + CCTK_REAL_VEC const p1o144dydz = kmul(INV(kmul(dy,dz)),ToReal(0.00694444444444444444444444444444)); + CCTK_REAL_VEC const p1o1680dx = kmul(INV(dx),ToReal(0.000595238095238095238095238095238)); + CCTK_REAL_VEC const p1o1680dy = kmul(INV(dy),ToReal(0.000595238095238095238095238095238)); + CCTK_REAL_VEC const p1o1680dz = kmul(INV(dz),ToReal(0.000595238095238095238095238095238)); + CCTK_REAL_VEC const p1o16dx = kmul(INV(dx),ToReal(0.0625)); + CCTK_REAL_VEC const p1o16dy = kmul(INV(dy),ToReal(0.0625)); + CCTK_REAL_VEC const p1o16dz = kmul(INV(dz),ToReal(0.0625)); + CCTK_REAL_VEC const p1o180dx2 = kmul(INV(SQR(dx)),ToReal(0.00555555555555555555555555555556)); + CCTK_REAL_VEC const p1o180dy2 = kmul(INV(SQR(dy)),ToReal(0.00555555555555555555555555555556)); + CCTK_REAL_VEC const p1o180dz2 = kmul(INV(SQR(dz)),ToReal(0.00555555555555555555555555555556)); + CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667)); + CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667)); + CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667)); + CCTK_REAL_VEC const p1o256dx = kmul(INV(dx),ToReal(0.00390625)); + CCTK_REAL_VEC const p1o256dy = kmul(INV(dy),ToReal(0.00390625)); + CCTK_REAL_VEC const p1o256dz = kmul(INV(dz),ToReal(0.00390625)); + CCTK_REAL_VEC const p1o2dx = kmul(INV(dx),ToReal(0.5)); + CCTK_REAL_VEC const p1o2dy = kmul(INV(dy),ToReal(0.5)); + CCTK_REAL_VEC const p1o2dz = kmul(INV(dz),ToReal(0.5)); + CCTK_REAL_VEC const p1o3600dxdy = kmul(INV(kmul(dx,dy)),ToReal(0.000277777777777777777777777777778)); + CCTK_REAL_VEC const p1o3600dxdz = kmul(INV(kmul(dx,dz)),ToReal(0.000277777777777777777777777777778)); + CCTK_REAL_VEC const p1o3600dydz = kmul(INV(kmul(dy,dz)),ToReal(0.000277777777777777777777777777778)); + CCTK_REAL_VEC const p1o4dx = kmul(INV(dx),ToReal(0.25)); + CCTK_REAL_VEC const p1o4dxdy = kmul(INV(kmul(dx,dy)),ToReal(0.25)); + CCTK_REAL_VEC const p1o4dxdz = kmul(INV(kmul(dx,dz)),ToReal(0.25)); + CCTK_REAL_VEC const p1o4dy = kmul(INV(dy),ToReal(0.25)); + CCTK_REAL_VEC const p1o4dydz = kmul(INV(kmul(dy,dz)),ToReal(0.25)); + CCTK_REAL_VEC const p1o4dz = kmul(INV(dz),ToReal(0.25)); + CCTK_REAL_VEC const p1o5040dx2 = kmul(INV(SQR(dx)),ToReal(0.000198412698412698412698412698413)); + CCTK_REAL_VEC const p1o5040dy2 = kmul(INV(SQR(dy)),ToReal(0.000198412698412698412698412698413)); + CCTK_REAL_VEC const p1o5040dz2 = kmul(INV(SQR(dz)),ToReal(0.000198412698412698412698412698413)); + CCTK_REAL_VEC const p1o560dx = kmul(INV(dx),ToReal(0.00178571428571428571428571428571)); + CCTK_REAL_VEC const p1o560dy = kmul(INV(dy),ToReal(0.00178571428571428571428571428571)); + CCTK_REAL_VEC const p1o560dz = kmul(INV(dz),ToReal(0.00178571428571428571428571428571)); + CCTK_REAL_VEC const p1o60dx = kmul(INV(dx),ToReal(0.0166666666666666666666666666667)); + CCTK_REAL_VEC const p1o60dy = kmul(INV(dy),ToReal(0.0166666666666666666666666666667)); + CCTK_REAL_VEC const p1o60dz = kmul(INV(dz),ToReal(0.0166666666666666666666666666667)); + CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625)); + CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625)); + CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625)); + CCTK_REAL_VEC const p1o705600dxdy = kmul(INV(kmul(dx,dy)),ToReal(1.41723356009070294784580498866e-6)); + CCTK_REAL_VEC const p1o705600dxdz = kmul(INV(kmul(dx,dz)),ToReal(1.41723356009070294784580498866e-6)); + CCTK_REAL_VEC const p1o705600dydz = kmul(INV(kmul(dy,dz)),ToReal(1.41723356009070294784580498866e-6)); + CCTK_REAL_VEC const p1o840dx = kmul(INV(dx),ToReal(0.00119047619047619047619047619048)); + CCTK_REAL_VEC const p1o840dy = kmul(INV(dy),ToReal(0.00119047619047619047619047619048)); + CCTK_REAL_VEC const p1o840dz = kmul(INV(dz),ToReal(0.00119047619047619047619047619048)); + CCTK_REAL_VEC const p1odx = INV(dx); + CCTK_REAL_VEC const p1odx2 = INV(SQR(dx)); + CCTK_REAL_VEC const p1ody = INV(dy); + CCTK_REAL_VEC const p1ody2 = INV(SQR(dy)); + CCTK_REAL_VEC const p1odz = INV(dz); + CCTK_REAL_VEC const p1odz2 = INV(SQR(dz)); + CCTK_REAL_VEC const pm1o120dx = kmul(INV(dx),ToReal(-0.00833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o120dy = kmul(INV(dy),ToReal(-0.00833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o120dz = kmul(INV(dz),ToReal(-0.00833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333)); + CCTK_REAL_VEC const pm1o2dx = kmul(INV(dx),ToReal(-0.5)); + CCTK_REAL_VEC const pm1o2dy = kmul(INV(dy),ToReal(-0.5)); + CCTK_REAL_VEC const pm1o2dz = kmul(INV(dz),ToReal(-0.5)); + CCTK_REAL_VEC const pm1o4dx = kmul(INV(dx),ToReal(-0.25)); + CCTK_REAL_VEC const pm1o4dy = kmul(INV(dy),ToReal(-0.25)); + CCTK_REAL_VEC const pm1o4dz = kmul(INV(dz),ToReal(-0.25)); + CCTK_REAL_VEC const pm1o60dx = kmul(INV(dx),ToReal(-0.0166666666666666666666666666667)); + CCTK_REAL_VEC const pm1o60dy = kmul(INV(dy),ToReal(-0.0166666666666666666666666666667)); + CCTK_REAL_VEC const pm1o60dz = kmul(INV(dz),ToReal(-0.0166666666666666666666666666667)); + + /* Jacobian variable pointers */ + bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map) + && strlen(jacobian_group) > 0; + if (use_jacobian && strlen(jacobian_derivative_group) == 0) + { + CCTK_WARN (1, "GenericFD::jacobian_group and GenericFD::jacobian_derivative_group must both be set to valid group names"); + } + + CCTK_REAL const *restrict jacobian_ptrs[9]; + if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_group, + 9, jacobian_ptrs); + + CCTK_REAL const *restrict const J11 = use_jacobian ? jacobian_ptrs[0] : 0; + CCTK_REAL const *restrict const J12 = use_jacobian ? jacobian_ptrs[1] : 0; + CCTK_REAL const *restrict const J13 = use_jacobian ? jacobian_ptrs[2] : 0; + CCTK_REAL const *restrict const J21 = use_jacobian ? jacobian_ptrs[3] : 0; + CCTK_REAL const *restrict const J22 = use_jacobian ? jacobian_ptrs[4] : 0; + CCTK_REAL const *restrict const J23 = use_jacobian ? jacobian_ptrs[5] : 0; + CCTK_REAL const *restrict const J31 = use_jacobian ? jacobian_ptrs[6] : 0; + CCTK_REAL const *restrict const J32 = use_jacobian ? jacobian_ptrs[7] : 0; + CCTK_REAL const *restrict const J33 = use_jacobian ? jacobian_ptrs[8] : 0; + + CCTK_REAL const *restrict jacobian_derivative_ptrs[18]; + if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_derivative_group, + 18, jacobian_derivative_ptrs); + + CCTK_REAL const *restrict const dJ111 = use_jacobian ? jacobian_derivative_ptrs[0] : 0; + CCTK_REAL const *restrict const dJ112 = use_jacobian ? jacobian_derivative_ptrs[1] : 0; + CCTK_REAL const *restrict const dJ113 = use_jacobian ? jacobian_derivative_ptrs[2] : 0; + CCTK_REAL const *restrict const dJ122 = use_jacobian ? jacobian_derivative_ptrs[3] : 0; + CCTK_REAL const *restrict const dJ123 = use_jacobian ? jacobian_derivative_ptrs[4] : 0; + CCTK_REAL const *restrict const dJ133 = use_jacobian ? jacobian_derivative_ptrs[5] : 0; + CCTK_REAL const *restrict const dJ211 = use_jacobian ? jacobian_derivative_ptrs[6] : 0; + CCTK_REAL const *restrict const dJ212 = use_jacobian ? jacobian_derivative_ptrs[7] : 0; + CCTK_REAL const *restrict const dJ213 = use_jacobian ? jacobian_derivative_ptrs[8] : 0; + CCTK_REAL const *restrict const dJ222 = use_jacobian ? jacobian_derivative_ptrs[9] : 0; + CCTK_REAL const *restrict const dJ223 = use_jacobian ? jacobian_derivative_ptrs[10] : 0; + CCTK_REAL const *restrict const dJ233 = use_jacobian ? jacobian_derivative_ptrs[11] : 0; + CCTK_REAL const *restrict const dJ311 = use_jacobian ? jacobian_derivative_ptrs[12] : 0; + CCTK_REAL const *restrict const dJ312 = use_jacobian ? jacobian_derivative_ptrs[13] : 0; + CCTK_REAL const *restrict const dJ313 = use_jacobian ? jacobian_derivative_ptrs[14] : 0; + CCTK_REAL const *restrict const dJ322 = use_jacobian ? jacobian_derivative_ptrs[15] : 0; + CCTK_REAL const *restrict const dJ323 = use_jacobian ? jacobian_derivative_ptrs[16] : 0; + CCTK_REAL const *restrict const dJ333 = use_jacobian ? jacobian_derivative_ptrs[17] : 0; + + /* Assign local copies of arrays functions */ + + + + /* Calculate temporaries and arrays functions */ + + /* Copy local copies back to grid functions */ + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3VEC(ML_CCZ4_constraints2, + i,j,k, imin[0],imin[1],imin[2], imax[0],imax[1],imax[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2], + CCTK_REAL_VEC_SIZE) + { + ptrdiff_t const index = di*i + dj*j + dk*k; + + /* 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 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 Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + CCTK_REAL_VEC eTtxL, eTtyL, eTtzL, eTxxL, eTxyL, eTxzL, eTyyL, eTyzL, eTzzL; + + if (*stress_energy_state) + { + eTtxL = vec_load(eTtx[index]); + eTtyL = vec_load(eTty[index]); + eTtzL = vec_load(eTtz[index]); + eTxxL = vec_load(eTxx[index]); + eTxyL = vec_load(eTxy[index]); + eTxzL = vec_load(eTxz[index]); + eTyyL = vec_load(eTyy[index]); + eTyzL = vec_load(eTyz[index]); + eTzzL = vec_load(eTzz[index]); + } + else + { + eTtxL = ToReal(0.0); + eTtyL = ToReal(0.0); + eTtzL = ToReal(0.0); + eTxxL = ToReal(0.0); + eTxyL = ToReal(0.0); + eTxzL = ToReal(0.0); + eTyyL = ToReal(0.0); + eTyzL = ToReal(0.0); + eTzzL = ToReal(0.0); + } + + CCTK_REAL_VEC J11L, J12L, J13L, J21L, J22L, J23L, J31L, J32L, J33L; + + if (use_jacobian) + { + J11L = vec_load(J11[index]); + J12L = vec_load(J12[index]); + J13L = vec_load(J13[index]); + J21L = vec_load(J21[index]); + J22L = vec_load(J22[index]); + J23L = vec_load(J23[index]); + J31L = vec_load(J31[index]); + J32L = vec_load(J32[index]); + J33L = vec_load(J33[index]); + } + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC PDstandardNth1At11; + CCTK_REAL_VEC PDstandardNth2At11; + CCTK_REAL_VEC PDstandardNth3At11; + CCTK_REAL_VEC PDstandardNth1At12; + CCTK_REAL_VEC PDstandardNth2At12; + CCTK_REAL_VEC PDstandardNth3At12; + CCTK_REAL_VEC PDstandardNth1At13; + CCTK_REAL_VEC PDstandardNth2At13; + CCTK_REAL_VEC PDstandardNth3At13; + CCTK_REAL_VEC PDstandardNth1At22; + CCTK_REAL_VEC PDstandardNth2At22; + CCTK_REAL_VEC PDstandardNth3At22; + CCTK_REAL_VEC PDstandardNth1At23; + CCTK_REAL_VEC PDstandardNth2At23; + CCTK_REAL_VEC PDstandardNth3At23; + CCTK_REAL_VEC PDstandardNth1At33; + CCTK_REAL_VEC PDstandardNth2At33; + CCTK_REAL_VEC PDstandardNth3At33; + CCTK_REAL_VEC PDstandardNth1gt11; + CCTK_REAL_VEC PDstandardNth2gt11; + CCTK_REAL_VEC PDstandardNth3gt11; + CCTK_REAL_VEC PDstandardNth1gt12; + CCTK_REAL_VEC PDstandardNth2gt12; + CCTK_REAL_VEC PDstandardNth3gt12; + CCTK_REAL_VEC PDstandardNth1gt13; + CCTK_REAL_VEC PDstandardNth2gt13; + CCTK_REAL_VEC PDstandardNth3gt13; + CCTK_REAL_VEC PDstandardNth1gt22; + CCTK_REAL_VEC PDstandardNth2gt22; + CCTK_REAL_VEC PDstandardNth3gt22; + CCTK_REAL_VEC PDstandardNth1gt23; + CCTK_REAL_VEC PDstandardNth2gt23; + CCTK_REAL_VEC PDstandardNth3gt23; + CCTK_REAL_VEC PDstandardNth1gt33; + CCTK_REAL_VEC PDstandardNth2gt33; + CCTK_REAL_VEC PDstandardNth3gt33; + CCTK_REAL_VEC PDstandardNth1phi; + CCTK_REAL_VEC PDstandardNth2phi; + CCTK_REAL_VEC PDstandardNth3phi; + CCTK_REAL_VEC PDstandardNth1trK; + CCTK_REAL_VEC PDstandardNth2trK; + CCTK_REAL_VEC PDstandardNth3trK; + + switch(fdOrder) + { + case 2: + PDstandardNth1At11 = PDstandardNthfdOrder21(&At11[index]); + PDstandardNth2At11 = PDstandardNthfdOrder22(&At11[index]); + PDstandardNth3At11 = PDstandardNthfdOrder23(&At11[index]); + PDstandardNth1At12 = PDstandardNthfdOrder21(&At12[index]); + PDstandardNth2At12 = PDstandardNthfdOrder22(&At12[index]); + PDstandardNth3At12 = PDstandardNthfdOrder23(&At12[index]); + PDstandardNth1At13 = PDstandardNthfdOrder21(&At13[index]); + PDstandardNth2At13 = PDstandardNthfdOrder22(&At13[index]); + PDstandardNth3At13 = PDstandardNthfdOrder23(&At13[index]); + PDstandardNth1At22 = PDstandardNthfdOrder21(&At22[index]); + PDstandardNth2At22 = PDstandardNthfdOrder22(&At22[index]); + PDstandardNth3At22 = PDstandardNthfdOrder23(&At22[index]); + PDstandardNth1At23 = PDstandardNthfdOrder21(&At23[index]); + PDstandardNth2At23 = PDstandardNthfdOrder22(&At23[index]); + PDstandardNth3At23 = PDstandardNthfdOrder23(&At23[index]); + PDstandardNth1At33 = PDstandardNthfdOrder21(&At33[index]); + PDstandardNth2At33 = PDstandardNthfdOrder22(&At33[index]); + PDstandardNth3At33 = PDstandardNthfdOrder23(&At33[index]); + PDstandardNth1gt11 = PDstandardNthfdOrder21(>11[index]); + PDstandardNth2gt11 = PDstandardNthfdOrder22(>11[index]); + PDstandardNth3gt11 = PDstandardNthfdOrder23(>11[index]); + PDstandardNth1gt12 = PDstandardNthfdOrder21(>12[index]); + PDstandardNth2gt12 = PDstandardNthfdOrder22(>12[index]); + PDstandardNth3gt12 = PDstandardNthfdOrder23(>12[index]); + PDstandardNth1gt13 = PDstandardNthfdOrder21(>13[index]); + PDstandardNth2gt13 = PDstandardNthfdOrder22(>13[index]); + PDstandardNth3gt13 = PDstandardNthfdOrder23(>13[index]); + PDstandardNth1gt22 = PDstandardNthfdOrder21(>22[index]); + PDstandardNth2gt22 = PDstandardNthfdOrder22(>22[index]); + PDstandardNth3gt22 = PDstandardNthfdOrder23(>22[index]); + PDstandardNth1gt23 = PDstandardNthfdOrder21(>23[index]); + PDstandardNth2gt23 = PDstandardNthfdOrder22(>23[index]); + PDstandardNth3gt23 = PDstandardNthfdOrder23(>23[index]); + PDstandardNth1gt33 = PDstandardNthfdOrder21(>33[index]); + PDstandardNth2gt33 = PDstandardNthfdOrder22(>33[index]); + PDstandardNth3gt33 = PDstandardNthfdOrder23(>33[index]); + PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]); + PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]); + PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]); + PDstandardNth1trK = PDstandardNthfdOrder21(&trK[index]); + PDstandardNth2trK = PDstandardNthfdOrder22(&trK[index]); + PDstandardNth3trK = PDstandardNthfdOrder23(&trK[index]); + break; + + case 4: + PDstandardNth1At11 = PDstandardNthfdOrder41(&At11[index]); + PDstandardNth2At11 = PDstandardNthfdOrder42(&At11[index]); + PDstandardNth3At11 = PDstandardNthfdOrder43(&At11[index]); + PDstandardNth1At12 = PDstandardNthfdOrder41(&At12[index]); + PDstandardNth2At12 = PDstandardNthfdOrder42(&At12[index]); + PDstandardNth3At12 = PDstandardNthfdOrder43(&At12[index]); + PDstandardNth1At13 = PDstandardNthfdOrder41(&At13[index]); + PDstandardNth2At13 = PDstandardNthfdOrder42(&At13[index]); + PDstandardNth3At13 = PDstandardNthfdOrder43(&At13[index]); + PDstandardNth1At22 = PDstandardNthfdOrder41(&At22[index]); + PDstandardNth2At22 = PDstandardNthfdOrder42(&At22[index]); + PDstandardNth3At22 = PDstandardNthfdOrder43(&At22[index]); + PDstandardNth1At23 = PDstandardNthfdOrder41(&At23[index]); + PDstandardNth2At23 = PDstandardNthfdOrder42(&At23[index]); + PDstandardNth3At23 = PDstandardNthfdOrder43(&At23[index]); + PDstandardNth1At33 = PDstandardNthfdOrder41(&At33[index]); + PDstandardNth2At33 = PDstandardNthfdOrder42(&At33[index]); + PDstandardNth3At33 = PDstandardNthfdOrder43(&At33[index]); + PDstandardNth1gt11 = PDstandardNthfdOrder41(>11[index]); + PDstandardNth2gt11 = PDstandardNthfdOrder42(>11[index]); + PDstandardNth3gt11 = PDstandardNthfdOrder43(>11[index]); + PDstandardNth1gt12 = PDstandardNthfdOrder41(>12[index]); + PDstandardNth2gt12 = PDstandardNthfdOrder42(>12[index]); + PDstandardNth3gt12 = PDstandardNthfdOrder43(>12[index]); + PDstandardNth1gt13 = PDstandardNthfdOrder41(>13[index]); + PDstandardNth2gt13 = PDstandardNthfdOrder42(>13[index]); + PDstandardNth3gt13 = PDstandardNthfdOrder43(>13[index]); + PDstandardNth1gt22 = PDstandardNthfdOrder41(>22[index]); + PDstandardNth2gt22 = PDstandardNthfdOrder42(>22[index]); + PDstandardNth3gt22 = PDstandardNthfdOrder43(>22[index]); + PDstandardNth1gt23 = PDstandardNthfdOrder41(>23[index]); + PDstandardNth2gt23 = PDstandardNthfdOrder42(>23[index]); + PDstandardNth3gt23 = PDstandardNthfdOrder43(>23[index]); + PDstandardNth1gt33 = PDstandardNthfdOrder41(>33[index]); + PDstandardNth2gt33 = PDstandardNthfdOrder42(>33[index]); + PDstandardNth3gt33 = PDstandardNthfdOrder43(>33[index]); + PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]); + PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]); + PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]); + PDstandardNth1trK = PDstandardNthfdOrder41(&trK[index]); + PDstandardNth2trK = PDstandardNthfdOrder42(&trK[index]); + PDstandardNth3trK = PDstandardNthfdOrder43(&trK[index]); + break; + + case 6: + PDstandardNth1At11 = PDstandardNthfdOrder61(&At11[index]); + PDstandardNth2At11 = PDstandardNthfdOrder62(&At11[index]); + PDstandardNth3At11 = PDstandardNthfdOrder63(&At11[index]); + PDstandardNth1At12 = PDstandardNthfdOrder61(&At12[index]); + PDstandardNth2At12 = PDstandardNthfdOrder62(&At12[index]); + PDstandardNth3At12 = PDstandardNthfdOrder63(&At12[index]); + PDstandardNth1At13 = PDstandardNthfdOrder61(&At13[index]); + PDstandardNth2At13 = PDstandardNthfdOrder62(&At13[index]); + PDstandardNth3At13 = PDstandardNthfdOrder63(&At13[index]); + PDstandardNth1At22 = PDstandardNthfdOrder61(&At22[index]); + PDstandardNth2At22 = PDstandardNthfdOrder62(&At22[index]); + PDstandardNth3At22 = PDstandardNthfdOrder63(&At22[index]); + PDstandardNth1At23 = PDstandardNthfdOrder61(&At23[index]); + PDstandardNth2At23 = PDstandardNthfdOrder62(&At23[index]); + PDstandardNth3At23 = PDstandardNthfdOrder63(&At23[index]); + PDstandardNth1At33 = PDstandardNthfdOrder61(&At33[index]); + PDstandardNth2At33 = PDstandardNthfdOrder62(&At33[index]); + PDstandardNth3At33 = PDstandardNthfdOrder63(&At33[index]); + PDstandardNth1gt11 = PDstandardNthfdOrder61(>11[index]); + PDstandardNth2gt11 = PDstandardNthfdOrder62(>11[index]); + PDstandardNth3gt11 = PDstandardNthfdOrder63(>11[index]); + PDstandardNth1gt12 = PDstandardNthfdOrder61(>12[index]); + PDstandardNth2gt12 = PDstandardNthfdOrder62(>12[index]); + PDstandardNth3gt12 = PDstandardNthfdOrder63(>12[index]); + PDstandardNth1gt13 = PDstandardNthfdOrder61(>13[index]); + PDstandardNth2gt13 = PDstandardNthfdOrder62(>13[index]); + PDstandardNth3gt13 = PDstandardNthfdOrder63(>13[index]); + PDstandardNth1gt22 = PDstandardNthfdOrder61(>22[index]); + PDstandardNth2gt22 = PDstandardNthfdOrder62(>22[index]); + PDstandardNth3gt22 = PDstandardNthfdOrder63(>22[index]); + PDstandardNth1gt23 = PDstandardNthfdOrder61(>23[index]); + PDstandardNth2gt23 = PDstandardNthfdOrder62(>23[index]); + PDstandardNth3gt23 = PDstandardNthfdOrder63(>23[index]); + PDstandardNth1gt33 = PDstandardNthfdOrder61(>33[index]); + PDstandardNth2gt33 = PDstandardNthfdOrder62(>33[index]); + PDstandardNth3gt33 = PDstandardNthfdOrder63(>33[index]); + PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]); + PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]); + PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]); + PDstandardNth1trK = PDstandardNthfdOrder61(&trK[index]); + PDstandardNth2trK = PDstandardNthfdOrder62(&trK[index]); + PDstandardNth3trK = PDstandardNthfdOrder63(&trK[index]); + break; + + case 8: + PDstandardNth1At11 = PDstandardNthfdOrder81(&At11[index]); + PDstandardNth2At11 = PDstandardNthfdOrder82(&At11[index]); + PDstandardNth3At11 = PDstandardNthfdOrder83(&At11[index]); + PDstandardNth1At12 = PDstandardNthfdOrder81(&At12[index]); + PDstandardNth2At12 = PDstandardNthfdOrder82(&At12[index]); + PDstandardNth3At12 = PDstandardNthfdOrder83(&At12[index]); + PDstandardNth1At13 = PDstandardNthfdOrder81(&At13[index]); + PDstandardNth2At13 = PDstandardNthfdOrder82(&At13[index]); + PDstandardNth3At13 = PDstandardNthfdOrder83(&At13[index]); + PDstandardNth1At22 = PDstandardNthfdOrder81(&At22[index]); + PDstandardNth2At22 = PDstandardNthfdOrder82(&At22[index]); + PDstandardNth3At22 = PDstandardNthfdOrder83(&At22[index]); + PDstandardNth1At23 = PDstandardNthfdOrder81(&At23[index]); + PDstandardNth2At23 = PDstandardNthfdOrder82(&At23[index]); + PDstandardNth3At23 = PDstandardNthfdOrder83(&At23[index]); + PDstandardNth1At33 = PDstandardNthfdOrder81(&At33[index]); + PDstandardNth2At33 = PDstandardNthfdOrder82(&At33[index]); + PDstandardNth3At33 = PDstandardNthfdOrder83(&At33[index]); + PDstandardNth1gt11 = PDstandardNthfdOrder81(>11[index]); + PDstandardNth2gt11 = PDstandardNthfdOrder82(>11[index]); + PDstandardNth3gt11 = PDstandardNthfdOrder83(>11[index]); + PDstandardNth1gt12 = PDstandardNthfdOrder81(>12[index]); + PDstandardNth2gt12 = PDstandardNthfdOrder82(>12[index]); + PDstandardNth3gt12 = PDstandardNthfdOrder83(>12[index]); + PDstandardNth1gt13 = PDstandardNthfdOrder81(>13[index]); + PDstandardNth2gt13 = PDstandardNthfdOrder82(>13[index]); + PDstandardNth3gt13 = PDstandardNthfdOrder83(>13[index]); + PDstandardNth1gt22 = PDstandardNthfdOrder81(>22[index]); + PDstandardNth2gt22 = PDstandardNthfdOrder82(>22[index]); + PDstandardNth3gt22 = PDstandardNthfdOrder83(>22[index]); + PDstandardNth1gt23 = PDstandardNthfdOrder81(>23[index]); + PDstandardNth2gt23 = PDstandardNthfdOrder82(>23[index]); + PDstandardNth3gt23 = PDstandardNthfdOrder83(>23[index]); + PDstandardNth1gt33 = PDstandardNthfdOrder81(>33[index]); + PDstandardNth2gt33 = PDstandardNthfdOrder82(>33[index]); + PDstandardNth3gt33 = PDstandardNthfdOrder83(>33[index]); + PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]); + PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]); + PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]); + PDstandardNth1trK = PDstandardNthfdOrder81(&trK[index]); + PDstandardNth2trK = PDstandardNthfdOrder82(&trK[index]); + PDstandardNth3trK = PDstandardNthfdOrder83(&trK[index]); + break; + } + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC JacPDstandardNth1At11; + CCTK_REAL_VEC JacPDstandardNth1At12; + CCTK_REAL_VEC JacPDstandardNth1At13; + CCTK_REAL_VEC JacPDstandardNth1At22; + CCTK_REAL_VEC JacPDstandardNth1At23; + CCTK_REAL_VEC JacPDstandardNth1At33; + CCTK_REAL_VEC JacPDstandardNth1gt11; + CCTK_REAL_VEC JacPDstandardNth1gt12; + CCTK_REAL_VEC JacPDstandardNth1gt13; + CCTK_REAL_VEC JacPDstandardNth1gt22; + CCTK_REAL_VEC JacPDstandardNth1gt23; + CCTK_REAL_VEC JacPDstandardNth1gt33; + CCTK_REAL_VEC JacPDstandardNth1phi; + CCTK_REAL_VEC JacPDstandardNth1trK; + CCTK_REAL_VEC JacPDstandardNth2At11; + CCTK_REAL_VEC JacPDstandardNth2At12; + CCTK_REAL_VEC JacPDstandardNth2At13; + CCTK_REAL_VEC JacPDstandardNth2At22; + CCTK_REAL_VEC JacPDstandardNth2At23; + CCTK_REAL_VEC JacPDstandardNth2At33; + CCTK_REAL_VEC JacPDstandardNth2gt11; + CCTK_REAL_VEC JacPDstandardNth2gt12; + CCTK_REAL_VEC JacPDstandardNth2gt13; + CCTK_REAL_VEC JacPDstandardNth2gt22; + CCTK_REAL_VEC JacPDstandardNth2gt23; + CCTK_REAL_VEC JacPDstandardNth2gt33; + CCTK_REAL_VEC JacPDstandardNth2phi; + CCTK_REAL_VEC JacPDstandardNth2trK; + CCTK_REAL_VEC JacPDstandardNth3At11; + CCTK_REAL_VEC JacPDstandardNth3At12; + CCTK_REAL_VEC JacPDstandardNth3At13; + CCTK_REAL_VEC JacPDstandardNth3At22; + CCTK_REAL_VEC JacPDstandardNth3At23; + CCTK_REAL_VEC JacPDstandardNth3At33; + CCTK_REAL_VEC JacPDstandardNth3gt11; + CCTK_REAL_VEC JacPDstandardNth3gt12; + CCTK_REAL_VEC JacPDstandardNth3gt13; + CCTK_REAL_VEC JacPDstandardNth3gt22; + CCTK_REAL_VEC JacPDstandardNth3gt23; + CCTK_REAL_VEC JacPDstandardNth3gt33; + CCTK_REAL_VEC JacPDstandardNth3phi; + CCTK_REAL_VEC JacPDstandardNth3trK; + + if (use_jacobian) + { + JacPDstandardNth1At11 = + kmadd(J11L,PDstandardNth1At11,kmadd(J21L,PDstandardNth2At11,kmul(J31L,PDstandardNth3At11))); + + JacPDstandardNth1At12 = + kmadd(J11L,PDstandardNth1At12,kmadd(J21L,PDstandardNth2At12,kmul(J31L,PDstandardNth3At12))); + + JacPDstandardNth1At13 = + kmadd(J11L,PDstandardNth1At13,kmadd(J21L,PDstandardNth2At13,kmul(J31L,PDstandardNth3At13))); + + JacPDstandardNth1At22 = + kmadd(J11L,PDstandardNth1At22,kmadd(J21L,PDstandardNth2At22,kmul(J31L,PDstandardNth3At22))); + + JacPDstandardNth1At23 = + kmadd(J11L,PDstandardNth1At23,kmadd(J21L,PDstandardNth2At23,kmul(J31L,PDstandardNth3At23))); + + JacPDstandardNth1At33 = + kmadd(J11L,PDstandardNth1At33,kmadd(J21L,PDstandardNth2At33,kmul(J31L,PDstandardNth3At33))); + + JacPDstandardNth1gt11 = + kmadd(J11L,PDstandardNth1gt11,kmadd(J21L,PDstandardNth2gt11,kmul(J31L,PDstandardNth3gt11))); + + JacPDstandardNth1gt12 = + kmadd(J11L,PDstandardNth1gt12,kmadd(J21L,PDstandardNth2gt12,kmul(J31L,PDstandardNth3gt12))); + + JacPDstandardNth1gt13 = + kmadd(J11L,PDstandardNth1gt13,kmadd(J21L,PDstandardNth2gt13,kmul(J31L,PDstandardNth3gt13))); + + JacPDstandardNth1gt22 = + kmadd(J11L,PDstandardNth1gt22,kmadd(J21L,PDstandardNth2gt22,kmul(J31L,PDstandardNth3gt22))); + + JacPDstandardNth1gt23 = + kmadd(J11L,PDstandardNth1gt23,kmadd(J21L,PDstandardNth2gt23,kmul(J31L,PDstandardNth3gt23))); + + JacPDstandardNth1gt33 = + kmadd(J11L,PDstandardNth1gt33,kmadd(J21L,PDstandardNth2gt33,kmul(J31L,PDstandardNth3gt33))); + + JacPDstandardNth1phi = + kmadd(J11L,PDstandardNth1phi,kmadd(J21L,PDstandardNth2phi,kmul(J31L,PDstandardNth3phi))); + + JacPDstandardNth1trK = + kmadd(J11L,PDstandardNth1trK,kmadd(J21L,PDstandardNth2trK,kmul(J31L,PDstandardNth3trK))); + + JacPDstandardNth2At11 = + kmadd(J12L,PDstandardNth1At11,kmadd(J22L,PDstandardNth2At11,kmul(J32L,PDstandardNth3At11))); + + JacPDstandardNth2At12 = + kmadd(J12L,PDstandardNth1At12,kmadd(J22L,PDstandardNth2At12,kmul(J32L,PDstandardNth3At12))); + + JacPDstandardNth2At13 = + kmadd(J12L,PDstandardNth1At13,kmadd(J22L,PDstandardNth2At13,kmul(J32L,PDstandardNth3At13))); + + JacPDstandardNth2At22 = + kmadd(J12L,PDstandardNth1At22,kmadd(J22L,PDstandardNth2At22,kmul(J32L,PDstandardNth3At22))); + + JacPDstandardNth2At23 = + kmadd(J12L,PDstandardNth1At23,kmadd(J22L,PDstandardNth2At23,kmul(J32L,PDstandardNth3At23))); + + JacPDstandardNth2At33 = + kmadd(J12L,PDstandardNth1At33,kmadd(J22L,PDstandardNth2At33,kmul(J32L,PDstandardNth3At33))); + + JacPDstandardNth2gt11 = + kmadd(J12L,PDstandardNth1gt11,kmadd(J22L,PDstandardNth2gt11,kmul(J32L,PDstandardNth3gt11))); + + JacPDstandardNth2gt12 = + kmadd(J12L,PDstandardNth1gt12,kmadd(J22L,PDstandardNth2gt12,kmul(J32L,PDstandardNth3gt12))); + + JacPDstandardNth2gt13 = + kmadd(J12L,PDstandardNth1gt13,kmadd(J22L,PDstandardNth2gt13,kmul(J32L,PDstandardNth3gt13))); + + JacPDstandardNth2gt22 = + kmadd(J12L,PDstandardNth1gt22,kmadd(J22L,PDstandardNth2gt22,kmul(J32L,PDstandardNth3gt22))); + + JacPDstandardNth2gt23 = + kmadd(J12L,PDstandardNth1gt23,kmadd(J22L,PDstandardNth2gt23,kmul(J32L,PDstandardNth3gt23))); + + JacPDstandardNth2gt33 = + kmadd(J12L,PDstandardNth1gt33,kmadd(J22L,PDstandardNth2gt33,kmul(J32L,PDstandardNth3gt33))); + + JacPDstandardNth2phi = + kmadd(J12L,PDstandardNth1phi,kmadd(J22L,PDstandardNth2phi,kmul(J32L,PDstandardNth3phi))); + + JacPDstandardNth2trK = + kmadd(J12L,PDstandardNth1trK,kmadd(J22L,PDstandardNth2trK,kmul(J32L,PDstandardNth3trK))); + + JacPDstandardNth3At11 = + kmadd(J13L,PDstandardNth1At11,kmadd(J23L,PDstandardNth2At11,kmul(J33L,PDstandardNth3At11))); + + JacPDstandardNth3At12 = + kmadd(J13L,PDstandardNth1At12,kmadd(J23L,PDstandardNth2At12,kmul(J33L,PDstandardNth3At12))); + + JacPDstandardNth3At13 = + kmadd(J13L,PDstandardNth1At13,kmadd(J23L,PDstandardNth2At13,kmul(J33L,PDstandardNth3At13))); + + JacPDstandardNth3At22 = + kmadd(J13L,PDstandardNth1At22,kmadd(J23L,PDstandardNth2At22,kmul(J33L,PDstandardNth3At22))); + + JacPDstandardNth3At23 = + kmadd(J13L,PDstandardNth1At23,kmadd(J23L,PDstandardNth2At23,kmul(J33L,PDstandardNth3At23))); + + JacPDstandardNth3At33 = + kmadd(J13L,PDstandardNth1At33,kmadd(J23L,PDstandardNth2At33,kmul(J33L,PDstandardNth3At33))); + + JacPDstandardNth3gt11 = + kmadd(J13L,PDstandardNth1gt11,kmadd(J23L,PDstandardNth2gt11,kmul(J33L,PDstandardNth3gt11))); + + JacPDstandardNth3gt12 = + kmadd(J13L,PDstandardNth1gt12,kmadd(J23L,PDstandardNth2gt12,kmul(J33L,PDstandardNth3gt12))); + + JacPDstandardNth3gt13 = + kmadd(J13L,PDstandardNth1gt13,kmadd(J23L,PDstandardNth2gt13,kmul(J33L,PDstandardNth3gt13))); + + JacPDstandardNth3gt22 = + kmadd(J13L,PDstandardNth1gt22,kmadd(J23L,PDstandardNth2gt22,kmul(J33L,PDstandardNth3gt22))); + + JacPDstandardNth3gt23 = + kmadd(J13L,PDstandardNth1gt23,kmadd(J23L,PDstandardNth2gt23,kmul(J33L,PDstandardNth3gt23))); + + JacPDstandardNth3gt33 = + kmadd(J13L,PDstandardNth1gt33,kmadd(J23L,PDstandardNth2gt33,kmul(J33L,PDstandardNth3gt33))); + + JacPDstandardNth3phi = + kmadd(J13L,PDstandardNth1phi,kmadd(J23L,PDstandardNth2phi,kmul(J33L,PDstandardNth3phi))); + + JacPDstandardNth3trK = + kmadd(J13L,PDstandardNth1trK,kmadd(J23L,PDstandardNth2trK,kmul(J33L,PDstandardNth3trK))); + } + else + { + JacPDstandardNth1At11 = PDstandardNth1At11; + + JacPDstandardNth1At12 = PDstandardNth1At12; + + JacPDstandardNth1At13 = PDstandardNth1At13; + + JacPDstandardNth1At22 = PDstandardNth1At22; + + JacPDstandardNth1At23 = PDstandardNth1At23; + + JacPDstandardNth1At33 = PDstandardNth1At33; + + JacPDstandardNth1gt11 = PDstandardNth1gt11; + + JacPDstandardNth1gt12 = PDstandardNth1gt12; + + JacPDstandardNth1gt13 = PDstandardNth1gt13; + + JacPDstandardNth1gt22 = PDstandardNth1gt22; + + JacPDstandardNth1gt23 = PDstandardNth1gt23; + + JacPDstandardNth1gt33 = PDstandardNth1gt33; + + JacPDstandardNth1phi = PDstandardNth1phi; + + JacPDstandardNth1trK = PDstandardNth1trK; + + JacPDstandardNth2At11 = PDstandardNth2At11; + + JacPDstandardNth2At12 = PDstandardNth2At12; + + JacPDstandardNth2At13 = PDstandardNth2At13; + + JacPDstandardNth2At22 = PDstandardNth2At22; + + JacPDstandardNth2At23 = PDstandardNth2At23; + + JacPDstandardNth2At33 = PDstandardNth2At33; + + JacPDstandardNth2gt11 = PDstandardNth2gt11; + + JacPDstandardNth2gt12 = PDstandardNth2gt12; + + JacPDstandardNth2gt13 = PDstandardNth2gt13; + + JacPDstandardNth2gt22 = PDstandardNth2gt22; + + JacPDstandardNth2gt23 = PDstandardNth2gt23; + + JacPDstandardNth2gt33 = PDstandardNth2gt33; + + JacPDstandardNth2phi = PDstandardNth2phi; + + JacPDstandardNth2trK = PDstandardNth2trK; + + JacPDstandardNth3At11 = PDstandardNth3At11; + + JacPDstandardNth3At12 = PDstandardNth3At12; + + JacPDstandardNth3At13 = PDstandardNth3At13; + + JacPDstandardNth3At22 = PDstandardNth3At22; + + JacPDstandardNth3At23 = PDstandardNth3At23; + + JacPDstandardNth3At33 = PDstandardNth3At33; + + JacPDstandardNth3gt11 = PDstandardNth3gt11; + + JacPDstandardNth3gt12 = PDstandardNth3gt12; + + JacPDstandardNth3gt13 = PDstandardNth3gt13; + + JacPDstandardNth3gt22 = PDstandardNth3gt22; + + JacPDstandardNth3gt23 = PDstandardNth3gt23; + + JacPDstandardNth3gt33 = PDstandardNth3gt33; + + JacPDstandardNth3phi = PDstandardNth3phi; + + JacPDstandardNth3trK = PDstandardNth3trK; + } + + CCTK_REAL_VEC detgt = ToReal(1); + + CCTK_REAL_VEC gtu11 = + kmul(INV(detgt),kmsub(gt22L,gt33L,SQR(gt23L))); + + CCTK_REAL_VEC gtu12 = + kmul(INV(detgt),kmsub(gt13L,gt23L,kmul(gt12L,gt33L))); + + CCTK_REAL_VEC gtu13 = + kmul(INV(detgt),kmsub(gt12L,gt23L,kmul(gt13L,gt22L))); + + CCTK_REAL_VEC gtu22 = + kmul(INV(detgt),kmsub(gt11L,gt33L,SQR(gt13L))); + + CCTK_REAL_VEC gtu23 = + kmul(INV(detgt),kmsub(gt12L,gt13L,kmul(gt11L,gt23L))); + + CCTK_REAL_VEC gtu33 = + kmul(INV(detgt),kmsub(gt11L,gt22L,SQR(gt12L))); + + CCTK_REAL_VEC Gtl111 = kmul(JacPDstandardNth1gt11,ToReal(0.5)); + + CCTK_REAL_VEC Gtl112 = kmul(JacPDstandardNth2gt11,ToReal(0.5)); + + CCTK_REAL_VEC Gtl113 = kmul(JacPDstandardNth3gt11,ToReal(0.5)); + + CCTK_REAL_VEC Gtl122 = + kmadd(JacPDstandardNth1gt22,ToReal(-0.5),JacPDstandardNth2gt12); + + CCTK_REAL_VEC Gtl123 = + kmul(kadd(JacPDstandardNth2gt13,ksub(JacPDstandardNth3gt12,JacPDstandardNth1gt23)),ToReal(0.5)); + + CCTK_REAL_VEC Gtl133 = + kmadd(JacPDstandardNth1gt33,ToReal(-0.5),JacPDstandardNth3gt13); + + CCTK_REAL_VEC Gtl211 = + kmadd(JacPDstandardNth2gt11,ToReal(-0.5),JacPDstandardNth1gt12); + + CCTK_REAL_VEC Gtl212 = kmul(JacPDstandardNth1gt22,ToReal(0.5)); + + CCTK_REAL_VEC Gtl213 = + kmul(kadd(JacPDstandardNth1gt23,ksub(JacPDstandardNth3gt12,JacPDstandardNth2gt13)),ToReal(0.5)); + + CCTK_REAL_VEC Gtl222 = kmul(JacPDstandardNth2gt22,ToReal(0.5)); + + CCTK_REAL_VEC Gtl223 = kmul(JacPDstandardNth3gt22,ToReal(0.5)); + + CCTK_REAL_VEC Gtl233 = + kmadd(JacPDstandardNth2gt33,ToReal(-0.5),JacPDstandardNth3gt23); + + CCTK_REAL_VEC Gtl311 = + kmadd(JacPDstandardNth3gt11,ToReal(-0.5),JacPDstandardNth1gt13); + + CCTK_REAL_VEC Gtl312 = + kmul(kadd(JacPDstandardNth1gt23,ksub(JacPDstandardNth2gt13,JacPDstandardNth3gt12)),ToReal(0.5)); + + CCTK_REAL_VEC Gtl313 = kmul(JacPDstandardNth1gt33,ToReal(0.5)); + + CCTK_REAL_VEC Gtl322 = + kmadd(JacPDstandardNth3gt22,ToReal(-0.5),JacPDstandardNth2gt23); + + CCTK_REAL_VEC Gtl323 = kmul(JacPDstandardNth2gt33,ToReal(0.5)); + + CCTK_REAL_VEC Gtl333 = kmul(JacPDstandardNth3gt33,ToReal(0.5)); + + CCTK_REAL_VEC Gt111 = + kmadd(Gtl111,gtu11,kmadd(Gtl211,gtu12,kmul(Gtl311,gtu13))); + + CCTK_REAL_VEC Gt211 = + kmadd(Gtl111,gtu12,kmadd(Gtl211,gtu22,kmul(Gtl311,gtu23))); + + CCTK_REAL_VEC Gt311 = + kmadd(Gtl111,gtu13,kmadd(Gtl211,gtu23,kmul(Gtl311,gtu33))); + + CCTK_REAL_VEC Gt112 = + kmadd(Gtl112,gtu11,kmadd(Gtl212,gtu12,kmul(Gtl312,gtu13))); + + CCTK_REAL_VEC Gt212 = + kmadd(Gtl112,gtu12,kmadd(Gtl212,gtu22,kmul(Gtl312,gtu23))); + + CCTK_REAL_VEC Gt312 = + kmadd(Gtl112,gtu13,kmadd(Gtl212,gtu23,kmul(Gtl312,gtu33))); + + CCTK_REAL_VEC Gt113 = + kmadd(Gtl113,gtu11,kmadd(Gtl213,gtu12,kmul(Gtl313,gtu13))); + + CCTK_REAL_VEC Gt213 = + kmadd(Gtl113,gtu12,kmadd(Gtl213,gtu22,kmul(Gtl313,gtu23))); + + CCTK_REAL_VEC Gt313 = + kmadd(Gtl113,gtu13,kmadd(Gtl213,gtu23,kmul(Gtl313,gtu33))); + + CCTK_REAL_VEC Gt122 = + kmadd(Gtl122,gtu11,kmadd(Gtl222,gtu12,kmul(Gtl322,gtu13))); + + CCTK_REAL_VEC Gt222 = + kmadd(Gtl122,gtu12,kmadd(Gtl222,gtu22,kmul(Gtl322,gtu23))); + + CCTK_REAL_VEC Gt322 = + kmadd(Gtl122,gtu13,kmadd(Gtl222,gtu23,kmul(Gtl322,gtu33))); + + CCTK_REAL_VEC Gt123 = + kmadd(Gtl123,gtu11,kmadd(Gtl223,gtu12,kmul(Gtl323,gtu13))); + + CCTK_REAL_VEC Gt223 = + kmadd(Gtl123,gtu12,kmadd(Gtl223,gtu22,kmul(Gtl323,gtu23))); + + CCTK_REAL_VEC Gt323 = + kmadd(Gtl123,gtu13,kmadd(Gtl223,gtu23,kmul(Gtl323,gtu33))); + + CCTK_REAL_VEC Gt133 = + kmadd(Gtl133,gtu11,kmadd(Gtl233,gtu12,kmul(Gtl333,gtu13))); + + CCTK_REAL_VEC Gt233 = + kmadd(Gtl133,gtu12,kmadd(Gtl233,gtu22,kmul(Gtl333,gtu23))); + + CCTK_REAL_VEC Gt333 = + kmadd(Gtl133,gtu13,kmadd(Gtl233,gtu23,kmul(Gtl333,gtu33))); + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod == + 1,kmul(INV(phiL),ToReal(-0.5)),ToReal(1)); + + CCTK_REAL_VEC cdphi1 = kmul(fac1,JacPDstandardNth1phi); + + CCTK_REAL_VEC cdphi2 = kmul(fac1,JacPDstandardNth2phi); + + CCTK_REAL_VEC cdphi3 = kmul(fac1,JacPDstandardNth3phi); + + CCTK_REAL_VEC S1 = + kmul(INV(alphaL),kmadd(beta1L,eTxxL,kmadd(beta2L,eTxyL,kmsub(beta3L,eTxzL,eTtxL)))); + + CCTK_REAL_VEC S2 = + kmul(INV(alphaL),kmadd(beta1L,eTxyL,kmadd(beta2L,eTyyL,kmsub(beta3L,eTyzL,eTtyL)))); + + CCTK_REAL_VEC S3 = + kmul(INV(alphaL),kmadd(beta1L,eTxzL,kmadd(beta2L,eTyzL,kmsub(beta3L,eTzzL,eTtzL)))); + + CCTK_REAL_VEC M1L = + kmadd(gtu11,JacPDstandardNth1At11,kmadd(gtu12,JacPDstandardNth2At11,kmadd(gtu22,JacPDstandardNth2At12,kmadd(gtu23,JacPDstandardNth2At13,kmadd(gtu13,JacPDstandardNth3At11,kmadd(gtu23,JacPDstandardNth3At12,kmadd(gtu33,JacPDstandardNth3At13,kmadd(gtu12,kadd(JacPDstandardNth1At12,kmsub(At13L,kmul(Gt312,ToReal(-3)),kmul(At22L,Gt211))),kmadd(gtu13,kadd(JacPDstandardNth1At13,kmsub(At13L,kmul(Gt313,ToReal(-3)),kmul(At23L,Gt211))),knmsub(gtu22,kmadd(At23L,Gt312,kmul(At22L,Gt212)),kmadd(Gt311,kmsub(At13L,kmul(gtu11,ToReal(-2)),kmadd(At33L,gtu13,kmul(At23L,gtu12))),kmadd(At13L,kmsub(Gt323,kmul(gtu23,ToReal(-2)),kmul(Gt113,gtu33)),kmadd(JacPDstandardNth1trK,ToReal(-0.666666666666666666666666666667),knmsub(At12L,kmadd(Gt111,gtu12,kmadd(Gt112,gtu22,kmadd(Gt222,gtu22,kmadd(Gt113,gtu23,kmadd(Gt233,gtu33,kmadd(cdphi1,kmul(gtu12,ToReal(-6)),kmadd(cdphi2,kmul(gtu22,ToReal(-6)),kmadd(cdphi3,kmul(gtu23,ToReal(-6)),kmadd(Gt211,kmul(gtu11,ToReal(2)),kmadd(Gt223,kmul(gtu23,ToReal(2)),kmadd(Gt212,kmul(gtu12,ToReal(3)),kmul(Gt213,kmul(gtu13,ToReal(3)))))))))))))),kmadd(gtu23,knmsub(At22L,Gt213,knmsub(At33L,Gt312,kmsub(At13L,kmul(cdphi2,ToReal(6)),kmul(At23L,kadd(Gt313,Gt212))))),kmadd(gtu33,knmsub(At23L,Gt213,kmsub(At13L,kmul(cdphi3,ToReal(6)),kmul(At33L,Gt313))),kmadd(At11L,kmadd(Gt112,kmul(gtu12,ToReal(-3)),kmadd(Gt113,kmul(gtu13,ToReal(-3)),kmadd(Gt111,kmul(gtu11,ToReal(-2)),kmadd(Gt123,kmul(gtu23,ToReal(-2)),knmsub(Gt122,gtu22,knmsub(Gt133,gtu33,kmadd(cdphi1,kmul(gtu11,ToReal(6)),kmadd(cdphi2,kmul(gtu12,ToReal(6)),kmul(cdphi3,kmul(gtu13,ToReal(6))))))))))),kmadd(At13L,knmsub(Gt322,gtu22,knmsub(Gt112,gtu23,kmsub(gtu13,kmsub(cdphi1,ToReal(6),Gt111),kmul(Gt333,gtu33)))),kmul(S1,kmul(ToReal(-8),ToReal(Pi))))))))))))))))))))); + + CCTK_REAL_VEC M2L = + kmadd(gtu11,JacPDstandardNth1At12,kmadd(gtu12,JacPDstandardNth1At22,kmadd(gtu13,JacPDstandardNth1At23,kmadd(gtu12,JacPDstandardNth2At12,kmadd(gtu22,JacPDstandardNth2At22,kmadd(gtu23,JacPDstandardNth2At23,kmadd(gtu13,JacPDstandardNth3At12,kmadd(gtu23,JacPDstandardNth3At22,kmadd(gtu33,JacPDstandardNth3At23,kmadd(At22L,kmul(Gt222,kmul(gtu22,ToReal(-2))),knmsub(At11L,kmadd(Gt112,gtu11,kmadd(Gt122,gtu12,kmul(Gt123,gtu13))),knmsub(gtu11,kmadd(At22L,Gt211,kmadd(At13L,Gt312,kmul(At23L,Gt311))),kmadd(Gt212,kmsub(At22L,kmul(gtu12,ToReal(-3)),kmul(At23L,gtu13)),kmadd(Gt312,kmsub(At23L,kmul(gtu12,ToReal(-3)),kmul(At33L,gtu13)),kmadd(Gt322,kmsub(At23L,kmul(gtu22,ToReal(-2)),kmul(At33L,gtu23)),kmadd(Gt223,kmsub(At22L,kmul(gtu23,ToReal(-3)),kmul(At23L,gtu33)),kmadd(Gt323,kmsub(At23L,kmul(gtu23,ToReal(-3)),kmul(At33L,gtu33)),kmadd(At22L,kmsub(Gt213,kmul(gtu13,ToReal(-2)),kmul(Gt233,gtu33)),kmadd(At23L,kmsub(Gt313,kmul(gtu13,ToReal(-2)),kmadd(Gt333,gtu33,kmul(Gt222,gtu23))),kmadd(JacPDstandardNth2trK,ToReal(-0.666666666666666666666666666667),kmadd(At22L,kmul(cdphi2,kmul(gtu22,ToReal(6))),kmadd(At22L,kmul(cdphi3,kmul(gtu23,ToReal(6))),kmadd(gtu12,kmsub(At22L,kmul(cdphi1,ToReal(6)),kmul(At13L,Gt322)),kmadd(gtu13,kmsub(At23L,kmul(cdphi1,ToReal(6)),kmul(At13L,kadd(Gt323,Gt112))),kmadd(gtu23,kmsub(At23L,kmul(cdphi2,ToReal(6)),kmul(At13L,Gt122)),kmadd(gtu33,kmsub(At23L,kmul(cdphi3,ToReal(6)),kmul(At13L,Gt123)),kmadd(At12L,kmadd(Gt112,kmul(gtu12,ToReal(-3)),kmadd(Gt123,kmul(gtu23,ToReal(-3)),kmadd(Gt113,kmul(gtu13,ToReal(-2)),kmadd(Gt122,kmul(gtu22,ToReal(-2)),knmsub(Gt133,gtu33,kmadd(gtu11,ksub(kmsub(cdphi1,ToReal(6),Gt212),Gt111),kmadd(gtu12,kmsub(cdphi2,ToReal(6),Gt222),kmul(gtu13,kmsub(cdphi3,ToReal(6),Gt223))))))))),kmul(S2,kmul(ToReal(-8),ToReal(Pi)))))))))))))))))))))))))))))); + + CCTK_REAL_VEC M3L = + kmadd(gtu11,JacPDstandardNth1At13,kmadd(gtu12,JacPDstandardNth1At23,kmadd(gtu13,JacPDstandardNth1At33,kmadd(gtu12,JacPDstandardNth2At13,kmadd(gtu22,JacPDstandardNth2At23,kmadd(gtu23,JacPDstandardNth2At33,kmadd(gtu13,JacPDstandardNth3At13,kmadd(gtu23,JacPDstandardNth3At23,kmadd(gtu33,JacPDstandardNth3At33,kmadd(At33L,kmul(Gt313,kmul(gtu13,ToReal(-3))),kmadd(At23L,kmul(Gt223,kmul(gtu23,ToReal(-3))),kmadd(At33L,kmul(Gt323,kmul(gtu23,ToReal(-3))),kmadd(At23L,kmul(Gt233,kmul(gtu33,ToReal(-2))),kmadd(At33L,kmul(Gt333,kmul(gtu33,ToReal(-2))),knmsub(At11L,kmadd(Gt113,gtu11,kmadd(Gt123,gtu12,kmul(Gt133,gtu13))),kmadd(gtu12,kmsub(At23L,kmul(Gt212,ToReal(-2)),kmul(At12L,Gt223)),knmsub(gtu11,kmadd(At23L,Gt211,kmadd(At33L,Gt311,kmul(At12L,Gt213))),kmadd(At33L,kmsub(Gt312,kmul(gtu12,ToReal(-2)),kmul(Gt322,gtu22)),kmadd(At23L,kmsub(Gt213,kmul(gtu13,ToReal(-3)),kmadd(Gt333,gtu23,kmul(Gt222,gtu22))),kmadd(JacPDstandardNth3trK,ToReal(-0.666666666666666666666666666667),kmadd(At33L,kmul(cdphi3,kmul(gtu33,ToReal(6))),kmadd(gtu13,kmsub(At33L,kmul(cdphi1,ToReal(6)),kmul(At12L,Gt233)),kmadd(gtu23,kmsub(At33L,kmul(cdphi2,ToReal(6)),kmul(At12L,Gt133)),kmadd(gtu23,kmsub(At23L,kmul(cdphi3,ToReal(6)),kmul(At22L,Gt233)),kmadd(gtu12,knmsub(At12L,Gt113,kmsub(At23L,kmsub(cdphi1,ToReal(6),Gt313),kmul(At22L,Gt213))),kmadd(gtu22,knmsub(At12L,Gt123,kmsub(At23L,kmsub(cdphi2,ToReal(6),Gt323),kmul(At22L,Gt223))),kmadd(At13L,kmadd(Gt113,kmul(gtu13,ToReal(-3)),kmadd(Gt123,kmul(gtu23,ToReal(-3)),kmadd(Gt112,kmul(gtu12,ToReal(-2)),kmadd(Gt133,kmul(gtu33,ToReal(-2)),knmsub(Gt122,gtu22,kmadd(gtu11,ksub(kmsub(cdphi1,ToReal(6),Gt313),Gt111),kmadd(gtu12,kmsub(cdphi2,ToReal(6),Gt323),kmul(gtu13,kmsub(cdphi3,ToReal(6),Gt333))))))))),kmul(S3,kmul(ToReal(-8),ToReal(Pi)))))))))))))))))))))))))))))); + + CCTK_REAL_VEC cSL = klog(detgt); + + CCTK_REAL_VEC cXt1L = + kmadd(Gt111,gtu11,kmadd(Gt122,gtu22,kmadd(Gt133,gtu33,kmsub(kmadd(Gt112,gtu12,kmadd(Gt113,gtu13,kmul(Gt123,gtu23))),ToReal(2),Xt1L)))); + + CCTK_REAL_VEC cXt2L = + kmadd(Gt211,gtu11,kmadd(Gt222,gtu22,kmadd(Gt233,gtu33,kmsub(kmadd(Gt212,gtu12,kmadd(Gt213,gtu13,kmul(Gt223,gtu23))),ToReal(2),Xt2L)))); + + CCTK_REAL_VEC cXt3L = + kmadd(Gt311,gtu11,kmadd(Gt322,gtu22,kmadd(Gt333,gtu33,kmsub(kmadd(Gt312,gtu12,kmadd(Gt313,gtu13,kmul(Gt323,gtu23))),ToReal(2),Xt3L)))); + + CCTK_REAL_VEC cAL = + kmadd(At11L,gtu11,kmadd(At22L,gtu22,kmadd(At33L,gtu33,kmul(kmadd(At12L,gtu12,kmadd(At13L,gtu13,kmul(At23L,gtu23))),ToReal(2))))); + + /* Copy local copies back to grid functions */ + vec_store_partial_prepare(i,lc_imin,lc_imax); + vec_store_nta_partial(cA[index],cAL); + vec_store_nta_partial(cS[index],cSL); + vec_store_nta_partial(cXt1[index],cXt1L); + vec_store_nta_partial(cXt2[index],cXt2L); + vec_store_nta_partial(cXt3[index],cXt3L); + vec_store_nta_partial(M1[index],M1L); + vec_store_nta_partial(M2[index],M2L); + vec_store_nta_partial(M3[index],M3L); + } + LC_ENDLOOP3VEC(ML_CCZ4_constraints2); +} + +extern "C" void ML_CCZ4_constraints2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_CCZ4_constraints2_Body"); + } + + if (cctk_iteration % ML_CCZ4_constraints2_calc_every != ML_CCZ4_constraints2_calc_offset) + { + return; + } + + const char *const groups[] = { + "ML_CCZ4::ML_cons_detg", + "ML_CCZ4::ML_cons_Gamma", + "ML_CCZ4::ML_cons_traceA", + "ML_CCZ4::ML_curv", + "ML_CCZ4::ML_Gamma", + "ML_CCZ4::ML_lapse", + "ML_CCZ4::ML_log_confac", + "ML_CCZ4::ML_metric", + "ML_CCZ4::ML_mom", + "ML_CCZ4::ML_shift", + "ML_CCZ4::ML_trace_curv"}; + GenericFD_AssertGroupStorage(cctkGH, "ML_CCZ4_constraints2", 11, groups); + + switch(fdOrder) + { + case 2: + GenericFD_EnsureStencilFits(cctkGH, "ML_CCZ4_constraints2", 1, 1, 1); + break; + + case 4: + GenericFD_EnsureStencilFits(cctkGH, "ML_CCZ4_constraints2", 2, 2, 2); + break; + + case 6: + GenericFD_EnsureStencilFits(cctkGH, "ML_CCZ4_constraints2", 3, 3, 3); + break; + + case 8: + GenericFD_EnsureStencilFits(cctkGH, "ML_CCZ4_constraints2", 4, 4, 4); + break; + } + + GenericFD_LoopOverInterior(cctkGH, ML_CCZ4_constraints2_Body); + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Leaving ML_CCZ4_constraints2_Body"); + } +} |