diff options
| -rw-r--r-- | ML_ADMQuantities/src/ML_ADMQuantities.cc | 698 | ||||
| -rw-r--r-- | ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.cc | 1255 | ||||
| -rw-r--r-- | ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.cc | 701 | ||||
| -rw-r--r-- | ML_WaveToyFO/src/WTFO_Gaussian.cc | 119 | ||||
| -rw-r--r-- | ML_WaveToyFO/src/WTFO_RHS.cc | 136 | ||||
| -rw-r--r-- | ML_WaveToyFO/src/WTFO_constraints.cc | 128 |
6 files changed, 0 insertions, 3037 deletions
diff --git a/ML_ADMQuantities/src/ML_ADMQuantities.cc b/ML_ADMQuantities/src/ML_ADMQuantities.cc deleted file mode 100644 index 69ab690..0000000 --- a/ML_ADMQuantities/src/ML_ADMQuantities.cc +++ /dev/null @@ -1,698 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void ML_ADMQuantities_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_Body"); - } - - if (cctk_iteration % ML_ADMQuantities_calc_every != ML_ADMQuantities_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_ADMQuantities, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL_VEC alphaL = vec_load(alpha[index]); - CCTK_REAL_VEC At11L = vec_load(At11[index]); - CCTK_REAL_VEC At12L = vec_load(At12[index]); - CCTK_REAL_VEC At13L = vec_load(At13[index]); - CCTK_REAL_VEC At22L = vec_load(At22[index]); - CCTK_REAL_VEC At23L = vec_load(At23[index]); - CCTK_REAL_VEC At33L = vec_load(At33[index]); - CCTK_REAL_VEC beta1L = vec_load(beta1[index]); - CCTK_REAL_VEC beta2L = vec_load(beta2[index]); - CCTK_REAL_VEC beta3L = vec_load(beta3[index]); - CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; - CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; - CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; - CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; - CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; - CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; - CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; - CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; - CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; - CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; - CCTK_REAL_VEC gt11L = vec_load(gt11[index]); - CCTK_REAL_VEC gt12L = vec_load(gt12[index]); - CCTK_REAL_VEC gt13L = vec_load(gt13[index]); - CCTK_REAL_VEC gt22L = vec_load(gt22[index]); - CCTK_REAL_VEC gt23L = vec_load(gt23[index]); - CCTK_REAL_VEC gt33L = vec_load(gt33[index]); - CCTK_REAL_VEC phiL = vec_load(phi[index]); - CCTK_REAL_VEC trKL = vec_load(trK[index]); - CCTK_REAL_VEC xL = vec_load(x[index]); - CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); - CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); - CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); - CCTK_REAL_VEC yL = vec_load(y[index]); - CCTK_REAL_VEC zL = vec_load(z[index]); - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC detgt = 1; - - CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL_VEC dgtu111 = -2*(gtu11*gtu21*PDstandardNth1gt12 + - gtu11*gtu31*PDstandardNth1gt13 + gtu21*gtu31*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu11) - PDstandardNth1gt22*SQR(gtu21) - - PDstandardNth1gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu211 = -(gtu11*gtu21*PDstandardNth1gt11) - - gtu11*gtu22*PDstandardNth1gt12 - gtu21*gtu31*PDstandardNth1gt13 - - gtu11*gtu32*PDstandardNth1gt13 - gtu21*gtu22*PDstandardNth1gt22 - - gtu22*gtu31*PDstandardNth1gt23 - gtu21*gtu32*PDstandardNth1gt23 - - gtu31*gtu32*PDstandardNth1gt33 - PDstandardNth1gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu311 = -(gtu11*gtu31*PDstandardNth1gt11) - - gtu21*gtu31*PDstandardNth1gt12 - gtu11*gtu32*PDstandardNth1gt12 - - gtu11*gtu33*PDstandardNth1gt13 - gtu21*gtu32*PDstandardNth1gt22 - - gtu31*gtu32*PDstandardNth1gt23 - gtu21*gtu33*PDstandardNth1gt23 - - gtu31*gtu33*PDstandardNth1gt33 - PDstandardNth1gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu221 = -2*(gtu21*gtu22*PDstandardNth1gt12 + - gtu21*gtu32*PDstandardNth1gt13 + gtu22*gtu32*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu21) - PDstandardNth1gt22*SQR(gtu22) - - PDstandardNth1gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu321 = -(gtu21*gtu31*PDstandardNth1gt11) - - gtu22*gtu31*PDstandardNth1gt12 - gtu21*gtu32*PDstandardNth1gt12 - - gtu31*gtu32*PDstandardNth1gt13 - gtu21*gtu33*PDstandardNth1gt13 - - gtu22*gtu32*PDstandardNth1gt22 - gtu22*gtu33*PDstandardNth1gt23 - - gtu32*gtu33*PDstandardNth1gt33 - PDstandardNth1gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu331 = -2*(gtu31*gtu32*PDstandardNth1gt12 + - gtu31*gtu33*PDstandardNth1gt13 + gtu32*gtu33*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu31) - PDstandardNth1gt22*SQR(gtu32) - - PDstandardNth1gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu112 = -2*(gtu11*gtu21*PDstandardNth2gt12 + - gtu11*gtu31*PDstandardNth2gt13 + gtu21*gtu31*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu11) - PDstandardNth2gt22*SQR(gtu21) - - PDstandardNth2gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu212 = -(gtu11*gtu21*PDstandardNth2gt11) - - gtu11*gtu22*PDstandardNth2gt12 - gtu21*gtu31*PDstandardNth2gt13 - - gtu11*gtu32*PDstandardNth2gt13 - gtu21*gtu22*PDstandardNth2gt22 - - gtu22*gtu31*PDstandardNth2gt23 - gtu21*gtu32*PDstandardNth2gt23 - - gtu31*gtu32*PDstandardNth2gt33 - PDstandardNth2gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu312 = -(gtu11*gtu31*PDstandardNth2gt11) - - gtu21*gtu31*PDstandardNth2gt12 - gtu11*gtu32*PDstandardNth2gt12 - - gtu11*gtu33*PDstandardNth2gt13 - gtu21*gtu32*PDstandardNth2gt22 - - gtu31*gtu32*PDstandardNth2gt23 - gtu21*gtu33*PDstandardNth2gt23 - - gtu31*gtu33*PDstandardNth2gt33 - PDstandardNth2gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu222 = -2*(gtu21*gtu22*PDstandardNth2gt12 + - gtu21*gtu32*PDstandardNth2gt13 + gtu22*gtu32*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu21) - PDstandardNth2gt22*SQR(gtu22) - - PDstandardNth2gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu322 = -(gtu21*gtu31*PDstandardNth2gt11) - - gtu22*gtu31*PDstandardNth2gt12 - gtu21*gtu32*PDstandardNth2gt12 - - gtu31*gtu32*PDstandardNth2gt13 - gtu21*gtu33*PDstandardNth2gt13 - - gtu22*gtu32*PDstandardNth2gt22 - gtu22*gtu33*PDstandardNth2gt23 - - gtu32*gtu33*PDstandardNth2gt33 - PDstandardNth2gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu332 = -2*(gtu31*gtu32*PDstandardNth2gt12 + - gtu31*gtu33*PDstandardNth2gt13 + gtu32*gtu33*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu31) - PDstandardNth2gt22*SQR(gtu32) - - PDstandardNth2gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu113 = -2*(gtu11*gtu21*PDstandardNth3gt12 + - gtu11*gtu31*PDstandardNth3gt13 + gtu21*gtu31*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu11) - PDstandardNth3gt22*SQR(gtu21) - - PDstandardNth3gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu213 = -(gtu11*gtu21*PDstandardNth3gt11) - - gtu11*gtu22*PDstandardNth3gt12 - gtu21*gtu31*PDstandardNth3gt13 - - gtu11*gtu32*PDstandardNth3gt13 - gtu21*gtu22*PDstandardNth3gt22 - - gtu22*gtu31*PDstandardNth3gt23 - gtu21*gtu32*PDstandardNth3gt23 - - gtu31*gtu32*PDstandardNth3gt33 - PDstandardNth3gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu313 = -(gtu11*gtu31*PDstandardNth3gt11) - - gtu21*gtu31*PDstandardNth3gt12 - gtu11*gtu32*PDstandardNth3gt12 - - gtu11*gtu33*PDstandardNth3gt13 - gtu21*gtu32*PDstandardNth3gt22 - - gtu31*gtu32*PDstandardNth3gt23 - gtu21*gtu33*PDstandardNth3gt23 - - gtu31*gtu33*PDstandardNth3gt33 - PDstandardNth3gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu223 = -2*(gtu21*gtu22*PDstandardNth3gt12 + - gtu21*gtu32*PDstandardNth3gt13 + gtu22*gtu32*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu21) - PDstandardNth3gt22*SQR(gtu22) - - PDstandardNth3gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu323 = -(gtu21*gtu31*PDstandardNth3gt11) - - gtu22*gtu31*PDstandardNth3gt12 - gtu21*gtu32*PDstandardNth3gt12 - - gtu31*gtu32*PDstandardNth3gt13 - gtu21*gtu33*PDstandardNth3gt13 - - gtu22*gtu32*PDstandardNth3gt22 - gtu22*gtu33*PDstandardNth3gt23 - - gtu32*gtu33*PDstandardNth3gt33 - PDstandardNth3gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu333 = -2*(gtu31*gtu32*PDstandardNth3gt12 + - gtu31*gtu33*PDstandardNth3gt13 + gtu32*gtu33*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu31) - PDstandardNth3gt22*SQR(gtu32) - - PDstandardNth3gt33*SQR(gtu33); - - CCTK_REAL_VEC Gtl111 = khalf*PDstandardNth1gt11; - - CCTK_REAL_VEC Gtl112 = khalf*PDstandardNth2gt11; - - CCTK_REAL_VEC Gtl113 = khalf*PDstandardNth3gt11; - - CCTK_REAL_VEC Gtl122 = -(khalf*PDstandardNth1gt22) + - PDstandardNth2gt12; - - CCTK_REAL_VEC Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 - + PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl133 = -(khalf*PDstandardNth1gt33) + - PDstandardNth3gt13; - - CCTK_REAL_VEC Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - - CCTK_REAL_VEC Gtl212 = khalf*PDstandardNth1gt22; - - CCTK_REAL_VEC Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 - + PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl222 = khalf*PDstandardNth2gt22; - - CCTK_REAL_VEC Gtl223 = khalf*PDstandardNth3gt22; - - CCTK_REAL_VEC Gtl233 = -(khalf*PDstandardNth2gt33) + - PDstandardNth3gt23; - - CCTK_REAL_VEC Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - - CCTK_REAL_VEC Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - - PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl313 = khalf*PDstandardNth1gt33; - - CCTK_REAL_VEC Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - - CCTK_REAL_VEC Gtl323 = khalf*PDstandardNth2gt33; - - CCTK_REAL_VEC Gtl333 = khalf*PDstandardNth3gt33; - - CCTK_REAL_VEC Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL_VEC Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL_VEC Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL_VEC Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL_VEC Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL_VEC Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL_VEC Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL_VEC Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL_VEC Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL_VEC Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL_VEC Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL_VEC Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL_VEC Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL_VEC Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL_VEC Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL_VEC Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL_VEC Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL_VEC Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL_VEC Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL_VEC Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL_VEC Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL_VEC Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL_VEC Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL_VEC Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL_VEC Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL_VEC Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL_VEC Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL_VEC Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL_VEC Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) - + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + - Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + - Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + - gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3 + khalf*(-(gtu11*PDstandardNth11gt11) - - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - - gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3; - - CCTK_REAL_VEC Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + - Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + Gt222*Gtlu122 + - Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + - Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + - Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + Gt311*Gtlu321 + - Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + - Gtl212*Xtn2 + Gtl123*Xtn3 + Gtl213*Xtn3); - - CCTK_REAL_VEC Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + - Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + - Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + - Gt113*Gtlu133 + Gt333*Gtlu133 + Gt211*Gtlu231 + Gt212*Gtlu232 + - Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + - Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) - gtu11*PDstandardNth11gt13 - - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + - gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + - Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); - - CCTK_REAL_VEC Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + - 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + - Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + - Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + - gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + - gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - - 2*gtu21*PDstandardNth12gt22 - 2*gtu31*PDstandardNth13gt22 - - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - - gtu33*PDstandardNth33gt22) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; - - CCTK_REAL_VEC Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + - Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + - Gt313*Gtlu231 + Gt222*Gtlu232 + Gt323*Gtlu232 + Gt223*Gtlu233 + - Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + - Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + - Gt322*Gtlu332 + Gt323*Gtlu333) - gtu11*PDstandardNth11gt23 - - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + - gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + - gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + - Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); - - CCTK_REAL_VEC Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + - 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) - + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - - 2*gtu31*PDstandardNth13gt33 - gtu22*PDstandardNth22gt33 - - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + - gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; - - CCTK_REAL_VEC trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + - gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; - - CCTK_REAL_VEC ephi = - IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); - - CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL_VEC rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + - beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + - beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL_VEC MadmL = - 0.01989436788648691697111047042156429525431*(-((Gt111*Gtlu111 + - Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + - Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - - (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + - Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + - Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + - Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + - Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - (Gt112*Gtlu211 + Gt122*Gtlu212 + - Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + - Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + - Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + - Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - - (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + - Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + Gt312*Gtlu332 + - Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + - Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - (Gt112*Gtlu311 + Gt122*Gtlu312 + - Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + - Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + - Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + Gt223*Gtlu322 + - Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + - trRt - ephi*trRt + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + - 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + - SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - - 0.6666666666666666666666666666666666666667*SQR(trKL))); - - CCTK_REAL_VEC Jadm1L = - 0.01989436788648691697111047042156429525431*(2*Atm23 - 2*Atm32 + - (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - - 2*At23L*dgtu323 - At33L*dgtu333 + kfourthird*PDstandardNth3trK + - 50.26548245743669181540229413247204614715*S3)*yL + (At11L*dgtu112 + - At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + - At33L*dgtu332 - kfourthird*PDstandardNth2trK - - 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm2L = - 0.01989436788648691697111047042156429525431*(-2*Atm13 + 2*Atm31 + - (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + - At23L*dgtu323) + At33L*dgtu333 - kfourthird*PDstandardNth3trK - - 50.26548245743669181540229413247204614715*S3)*xL + (-(At11L*dgtu111) - - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - - At33L*dgtu331 + kfourthird*PDstandardNth1trK + - 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm3L = - 0.01989436788648691697111047042156429525431*(2*Atm12 - 2*Atm21 + - (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - - 2*At23L*dgtu322 - At33L*dgtu332 + kfourthird*PDstandardNth2trK + - 50.26548245743669181540229413247204614715*S2)*xL + (At11L*dgtu111 + - At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + - At33L*dgtu331 - kfourthird*PDstandardNth1trK - - 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); - - - /* Copy local copies back to grid functions */ - vec_store_nta(Jadm1[index],Jadm1L); - vec_store_nta(Jadm2[index],Jadm2L); - vec_store_nta(Jadm3[index],Jadm3L); - vec_store_nta(Madm[index],MadmL); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (ML_ADMQuantities); -} - -extern "C" void ML_ADMQuantities(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_Body); -} diff --git a/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.cc b/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.cc deleted file mode 100644 index abedb93..0000000 --- a/ML_ADMQuantities_MP/src/ML_ADMQuantities_MP.cc +++ /dev/null @@ -1,1255 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void ML_ADMQuantities_MP_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_MP_Body"); - } - - if (cctk_iteration % ML_ADMQuantities_MP_calc_every != ML_ADMQuantities_MP_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_ADMQuantities_MP, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL_VEC alphaL = vec_load(alpha[index]); - CCTK_REAL_VEC At11L = vec_load(At11[index]); - CCTK_REAL_VEC At12L = vec_load(At12[index]); - CCTK_REAL_VEC At13L = vec_load(At13[index]); - CCTK_REAL_VEC At22L = vec_load(At22[index]); - CCTK_REAL_VEC At23L = vec_load(At23[index]); - CCTK_REAL_VEC At33L = vec_load(At33[index]); - CCTK_REAL_VEC beta1L = vec_load(beta1[index]); - CCTK_REAL_VEC beta2L = vec_load(beta2[index]); - CCTK_REAL_VEC beta3L = vec_load(beta3[index]); - CCTK_REAL_VEC dJ111L = vec_load(dJ111[index]); - CCTK_REAL_VEC dJ112L = vec_load(dJ112[index]); - CCTK_REAL_VEC dJ113L = vec_load(dJ113[index]); - CCTK_REAL_VEC dJ122L = vec_load(dJ122[index]); - CCTK_REAL_VEC dJ123L = vec_load(dJ123[index]); - CCTK_REAL_VEC dJ133L = vec_load(dJ133[index]); - CCTK_REAL_VEC dJ211L = vec_load(dJ211[index]); - CCTK_REAL_VEC dJ212L = vec_load(dJ212[index]); - CCTK_REAL_VEC dJ213L = vec_load(dJ213[index]); - CCTK_REAL_VEC dJ222L = vec_load(dJ222[index]); - CCTK_REAL_VEC dJ223L = vec_load(dJ223[index]); - CCTK_REAL_VEC dJ233L = vec_load(dJ233[index]); - CCTK_REAL_VEC dJ311L = vec_load(dJ311[index]); - CCTK_REAL_VEC dJ312L = vec_load(dJ312[index]); - CCTK_REAL_VEC dJ313L = vec_load(dJ313[index]); - CCTK_REAL_VEC dJ322L = vec_load(dJ322[index]); - CCTK_REAL_VEC dJ323L = vec_load(dJ323[index]); - CCTK_REAL_VEC dJ333L = vec_load(dJ333[index]); - CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; - CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; - CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; - CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; - CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; - CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; - CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; - CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; - CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; - CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; - CCTK_REAL_VEC gt11L = vec_load(gt11[index]); - CCTK_REAL_VEC gt12L = vec_load(gt12[index]); - CCTK_REAL_VEC gt13L = vec_load(gt13[index]); - CCTK_REAL_VEC gt22L = vec_load(gt22[index]); - CCTK_REAL_VEC gt23L = vec_load(gt23[index]); - CCTK_REAL_VEC gt33L = vec_load(gt33[index]); - CCTK_REAL_VEC J11L = vec_load(J11[index]); - CCTK_REAL_VEC J12L = vec_load(J12[index]); - CCTK_REAL_VEC J13L = vec_load(J13[index]); - CCTK_REAL_VEC J21L = vec_load(J21[index]); - CCTK_REAL_VEC J22L = vec_load(J22[index]); - CCTK_REAL_VEC J23L = vec_load(J23[index]); - CCTK_REAL_VEC J31L = vec_load(J31[index]); - CCTK_REAL_VEC J32L = vec_load(J32[index]); - CCTK_REAL_VEC J33L = vec_load(J33[index]); - CCTK_REAL_VEC phiL = vec_load(phi[index]); - CCTK_REAL_VEC trKL = vec_load(trK[index]); - CCTK_REAL_VEC xL = vec_load(x[index]); - CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); - CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); - CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); - CCTK_REAL_VEC yL = vec_load(y[index]); - CCTK_REAL_VEC zL = vec_load(z[index]); - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC detgt = 1; - - CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL_VEC dgtu111 = -2*(gtu11*gtu21*J11L*PDstandardNth1gt12 + - gtu11*gtu31*J11L*PDstandardNth1gt13 + - gtu21*gtu31*J11L*PDstandardNth1gt23 + - gtu11*gtu21*J21L*PDstandardNth2gt12 + - gtu11*gtu31*J21L*PDstandardNth2gt13 + - gtu21*gtu31*J21L*PDstandardNth2gt23 + - gtu11*gtu21*J31L*PDstandardNth3gt12 + - gtu11*gtu31*J31L*PDstandardNth3gt13 + - gtu21*gtu31*J31L*PDstandardNth3gt23) - - J11L*PDstandardNth1gt11*SQR(gtu11) - J21L*PDstandardNth2gt11*SQR(gtu11) - - J31L*PDstandardNth3gt11*SQR(gtu11) - - J11L*PDstandardNth1gt22*SQR(gtu21) - J21L*PDstandardNth2gt22*SQR(gtu21) - - J31L*PDstandardNth3gt22*SQR(gtu21) - - J11L*PDstandardNth1gt33*SQR(gtu31) - J21L*PDstandardNth2gt33*SQR(gtu31) - - J31L*PDstandardNth3gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu211 = -(gtu11*gtu21*J11L*PDstandardNth1gt11) - - gtu11*gtu22*J11L*PDstandardNth1gt12 - - gtu21*gtu31*J11L*PDstandardNth1gt13 - - gtu11*gtu32*J11L*PDstandardNth1gt13 - - gtu21*gtu22*J11L*PDstandardNth1gt22 - - gtu22*gtu31*J11L*PDstandardNth1gt23 - - gtu21*gtu32*J11L*PDstandardNth1gt23 - - gtu31*gtu32*J11L*PDstandardNth1gt33 - - gtu11*gtu21*J21L*PDstandardNth2gt11 - - gtu11*gtu22*J21L*PDstandardNth2gt12 - - gtu21*gtu31*J21L*PDstandardNth2gt13 - - gtu11*gtu32*J21L*PDstandardNth2gt13 - - gtu21*gtu22*J21L*PDstandardNth2gt22 - - gtu22*gtu31*J21L*PDstandardNth2gt23 - - gtu21*gtu32*J21L*PDstandardNth2gt23 - - gtu31*gtu32*J21L*PDstandardNth2gt33 - - gtu11*gtu21*J31L*PDstandardNth3gt11 - - gtu11*gtu22*J31L*PDstandardNth3gt12 - - gtu21*gtu31*J31L*PDstandardNth3gt13 - - gtu11*gtu32*J31L*PDstandardNth3gt13 - - gtu21*gtu22*J31L*PDstandardNth3gt22 - - gtu22*gtu31*J31L*PDstandardNth3gt23 - - gtu21*gtu32*J31L*PDstandardNth3gt23 - - gtu31*gtu32*J31L*PDstandardNth3gt33 - - J11L*PDstandardNth1gt12*SQR(gtu21) - J21L*PDstandardNth2gt12*SQR(gtu21) - - J31L*PDstandardNth3gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu311 = -(gtu11*gtu31*J11L*PDstandardNth1gt11) - - gtu21*gtu31*J11L*PDstandardNth1gt12 - - gtu11*gtu32*J11L*PDstandardNth1gt12 - - gtu11*gtu33*J11L*PDstandardNth1gt13 - - gtu21*gtu32*J11L*PDstandardNth1gt22 - - gtu31*gtu32*J11L*PDstandardNth1gt23 - - gtu21*gtu33*J11L*PDstandardNth1gt23 - - gtu31*gtu33*J11L*PDstandardNth1gt33 - - gtu11*gtu31*J21L*PDstandardNth2gt11 - - gtu21*gtu31*J21L*PDstandardNth2gt12 - - gtu11*gtu32*J21L*PDstandardNth2gt12 - - gtu11*gtu33*J21L*PDstandardNth2gt13 - - gtu21*gtu32*J21L*PDstandardNth2gt22 - - gtu31*gtu32*J21L*PDstandardNth2gt23 - - gtu21*gtu33*J21L*PDstandardNth2gt23 - - gtu31*gtu33*J21L*PDstandardNth2gt33 - - gtu11*gtu31*J31L*PDstandardNth3gt11 - - gtu21*gtu31*J31L*PDstandardNth3gt12 - - gtu11*gtu32*J31L*PDstandardNth3gt12 - - gtu11*gtu33*J31L*PDstandardNth3gt13 - - gtu21*gtu32*J31L*PDstandardNth3gt22 - - gtu31*gtu32*J31L*PDstandardNth3gt23 - - gtu21*gtu33*J31L*PDstandardNth3gt23 - - gtu31*gtu33*J31L*PDstandardNth3gt33 - - J11L*PDstandardNth1gt13*SQR(gtu31) - J21L*PDstandardNth2gt13*SQR(gtu31) - - J31L*PDstandardNth3gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu221 = -2*(gtu21*gtu22*J11L*PDstandardNth1gt12 + - gtu21*gtu32*J11L*PDstandardNth1gt13 + - gtu22*gtu32*J11L*PDstandardNth1gt23 + - gtu21*gtu22*J21L*PDstandardNth2gt12 + - gtu21*gtu32*J21L*PDstandardNth2gt13 + - gtu22*gtu32*J21L*PDstandardNth2gt23 + - gtu21*gtu22*J31L*PDstandardNth3gt12 + - gtu21*gtu32*J31L*PDstandardNth3gt13 + - gtu22*gtu32*J31L*PDstandardNth3gt23) - - J11L*PDstandardNth1gt11*SQR(gtu21) - J21L*PDstandardNth2gt11*SQR(gtu21) - - J31L*PDstandardNth3gt11*SQR(gtu21) - - J11L*PDstandardNth1gt22*SQR(gtu22) - J21L*PDstandardNth2gt22*SQR(gtu22) - - J31L*PDstandardNth3gt22*SQR(gtu22) - - J11L*PDstandardNth1gt33*SQR(gtu32) - J21L*PDstandardNth2gt33*SQR(gtu32) - - J31L*PDstandardNth3gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu321 = -(gtu21*gtu31*J11L*PDstandardNth1gt11) - - gtu22*gtu31*J11L*PDstandardNth1gt12 - - gtu21*gtu32*J11L*PDstandardNth1gt12 - - gtu31*gtu32*J11L*PDstandardNth1gt13 - - gtu21*gtu33*J11L*PDstandardNth1gt13 - - gtu22*gtu32*J11L*PDstandardNth1gt22 - - gtu22*gtu33*J11L*PDstandardNth1gt23 - - gtu32*gtu33*J11L*PDstandardNth1gt33 - - gtu21*gtu31*J21L*PDstandardNth2gt11 - - gtu22*gtu31*J21L*PDstandardNth2gt12 - - gtu21*gtu32*J21L*PDstandardNth2gt12 - - gtu31*gtu32*J21L*PDstandardNth2gt13 - - gtu21*gtu33*J21L*PDstandardNth2gt13 - - gtu22*gtu32*J21L*PDstandardNth2gt22 - - gtu22*gtu33*J21L*PDstandardNth2gt23 - - gtu32*gtu33*J21L*PDstandardNth2gt33 - - gtu21*gtu31*J31L*PDstandardNth3gt11 - - gtu22*gtu31*J31L*PDstandardNth3gt12 - - gtu21*gtu32*J31L*PDstandardNth3gt12 - - gtu31*gtu32*J31L*PDstandardNth3gt13 - - gtu21*gtu33*J31L*PDstandardNth3gt13 - - gtu22*gtu32*J31L*PDstandardNth3gt22 - - gtu22*gtu33*J31L*PDstandardNth3gt23 - - gtu32*gtu33*J31L*PDstandardNth3gt33 - - J11L*PDstandardNth1gt23*SQR(gtu32) - J21L*PDstandardNth2gt23*SQR(gtu32) - - J31L*PDstandardNth3gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu331 = -2*(gtu31*gtu32*J11L*PDstandardNth1gt12 + - gtu31*gtu33*J11L*PDstandardNth1gt13 + - gtu32*gtu33*J11L*PDstandardNth1gt23 + - gtu31*gtu32*J21L*PDstandardNth2gt12 + - gtu31*gtu33*J21L*PDstandardNth2gt13 + - gtu32*gtu33*J21L*PDstandardNth2gt23 + - gtu31*gtu32*J31L*PDstandardNth3gt12 + - gtu31*gtu33*J31L*PDstandardNth3gt13 + - gtu32*gtu33*J31L*PDstandardNth3gt23) - - J11L*PDstandardNth1gt11*SQR(gtu31) - J21L*PDstandardNth2gt11*SQR(gtu31) - - J31L*PDstandardNth3gt11*SQR(gtu31) - - J11L*PDstandardNth1gt22*SQR(gtu32) - J21L*PDstandardNth2gt22*SQR(gtu32) - - J31L*PDstandardNth3gt22*SQR(gtu32) - - J11L*PDstandardNth1gt33*SQR(gtu33) - J21L*PDstandardNth2gt33*SQR(gtu33) - - J31L*PDstandardNth3gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu112 = -2*(gtu11*gtu21*J12L*PDstandardNth1gt12 + - gtu11*gtu31*J12L*PDstandardNth1gt13 + - gtu21*gtu31*J12L*PDstandardNth1gt23 + - gtu11*gtu21*J22L*PDstandardNth2gt12 + - gtu11*gtu31*J22L*PDstandardNth2gt13 + - gtu21*gtu31*J22L*PDstandardNth2gt23 + - gtu11*gtu21*J32L*PDstandardNth3gt12 + - gtu11*gtu31*J32L*PDstandardNth3gt13 + - gtu21*gtu31*J32L*PDstandardNth3gt23) - - J12L*PDstandardNth1gt11*SQR(gtu11) - J22L*PDstandardNth2gt11*SQR(gtu11) - - J32L*PDstandardNth3gt11*SQR(gtu11) - - J12L*PDstandardNth1gt22*SQR(gtu21) - J22L*PDstandardNth2gt22*SQR(gtu21) - - J32L*PDstandardNth3gt22*SQR(gtu21) - - J12L*PDstandardNth1gt33*SQR(gtu31) - J22L*PDstandardNth2gt33*SQR(gtu31) - - J32L*PDstandardNth3gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu212 = -(gtu11*gtu21*J12L*PDstandardNth1gt11) - - gtu11*gtu22*J12L*PDstandardNth1gt12 - - gtu21*gtu31*J12L*PDstandardNth1gt13 - - gtu11*gtu32*J12L*PDstandardNth1gt13 - - gtu21*gtu22*J12L*PDstandardNth1gt22 - - gtu22*gtu31*J12L*PDstandardNth1gt23 - - gtu21*gtu32*J12L*PDstandardNth1gt23 - - gtu31*gtu32*J12L*PDstandardNth1gt33 - - gtu11*gtu21*J22L*PDstandardNth2gt11 - - gtu11*gtu22*J22L*PDstandardNth2gt12 - - gtu21*gtu31*J22L*PDstandardNth2gt13 - - gtu11*gtu32*J22L*PDstandardNth2gt13 - - gtu21*gtu22*J22L*PDstandardNth2gt22 - - gtu22*gtu31*J22L*PDstandardNth2gt23 - - gtu21*gtu32*J22L*PDstandardNth2gt23 - - gtu31*gtu32*J22L*PDstandardNth2gt33 - - gtu11*gtu21*J32L*PDstandardNth3gt11 - - gtu11*gtu22*J32L*PDstandardNth3gt12 - - gtu21*gtu31*J32L*PDstandardNth3gt13 - - gtu11*gtu32*J32L*PDstandardNth3gt13 - - gtu21*gtu22*J32L*PDstandardNth3gt22 - - gtu22*gtu31*J32L*PDstandardNth3gt23 - - gtu21*gtu32*J32L*PDstandardNth3gt23 - - gtu31*gtu32*J32L*PDstandardNth3gt33 - - J12L*PDstandardNth1gt12*SQR(gtu21) - J22L*PDstandardNth2gt12*SQR(gtu21) - - J32L*PDstandardNth3gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu312 = -(gtu11*gtu31*J12L*PDstandardNth1gt11) - - gtu21*gtu31*J12L*PDstandardNth1gt12 - - gtu11*gtu32*J12L*PDstandardNth1gt12 - - gtu11*gtu33*J12L*PDstandardNth1gt13 - - gtu21*gtu32*J12L*PDstandardNth1gt22 - - gtu31*gtu32*J12L*PDstandardNth1gt23 - - gtu21*gtu33*J12L*PDstandardNth1gt23 - - gtu31*gtu33*J12L*PDstandardNth1gt33 - - gtu11*gtu31*J22L*PDstandardNth2gt11 - - gtu21*gtu31*J22L*PDstandardNth2gt12 - - gtu11*gtu32*J22L*PDstandardNth2gt12 - - gtu11*gtu33*J22L*PDstandardNth2gt13 - - gtu21*gtu32*J22L*PDstandardNth2gt22 - - gtu31*gtu32*J22L*PDstandardNth2gt23 - - gtu21*gtu33*J22L*PDstandardNth2gt23 - - gtu31*gtu33*J22L*PDstandardNth2gt33 - - gtu11*gtu31*J32L*PDstandardNth3gt11 - - gtu21*gtu31*J32L*PDstandardNth3gt12 - - gtu11*gtu32*J32L*PDstandardNth3gt12 - - gtu11*gtu33*J32L*PDstandardNth3gt13 - - gtu21*gtu32*J32L*PDstandardNth3gt22 - - gtu31*gtu32*J32L*PDstandardNth3gt23 - - gtu21*gtu33*J32L*PDstandardNth3gt23 - - gtu31*gtu33*J32L*PDstandardNth3gt33 - - J12L*PDstandardNth1gt13*SQR(gtu31) - J22L*PDstandardNth2gt13*SQR(gtu31) - - J32L*PDstandardNth3gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu222 = -2*(gtu21*gtu22*J12L*PDstandardNth1gt12 + - gtu21*gtu32*J12L*PDstandardNth1gt13 + - gtu22*gtu32*J12L*PDstandardNth1gt23 + - gtu21*gtu22*J22L*PDstandardNth2gt12 + - gtu21*gtu32*J22L*PDstandardNth2gt13 + - gtu22*gtu32*J22L*PDstandardNth2gt23 + - gtu21*gtu22*J32L*PDstandardNth3gt12 + - gtu21*gtu32*J32L*PDstandardNth3gt13 + - gtu22*gtu32*J32L*PDstandardNth3gt23) - - J12L*PDstandardNth1gt11*SQR(gtu21) - J22L*PDstandardNth2gt11*SQR(gtu21) - - J32L*PDstandardNth3gt11*SQR(gtu21) - - J12L*PDstandardNth1gt22*SQR(gtu22) - J22L*PDstandardNth2gt22*SQR(gtu22) - - J32L*PDstandardNth3gt22*SQR(gtu22) - - J12L*PDstandardNth1gt33*SQR(gtu32) - J22L*PDstandardNth2gt33*SQR(gtu32) - - J32L*PDstandardNth3gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu322 = -(gtu21*gtu31*J12L*PDstandardNth1gt11) - - gtu22*gtu31*J12L*PDstandardNth1gt12 - - gtu21*gtu32*J12L*PDstandardNth1gt12 - - gtu31*gtu32*J12L*PDstandardNth1gt13 - - gtu21*gtu33*J12L*PDstandardNth1gt13 - - gtu22*gtu32*J12L*PDstandardNth1gt22 - - gtu22*gtu33*J12L*PDstandardNth1gt23 - - gtu32*gtu33*J12L*PDstandardNth1gt33 - - gtu21*gtu31*J22L*PDstandardNth2gt11 - - gtu22*gtu31*J22L*PDstandardNth2gt12 - - gtu21*gtu32*J22L*PDstandardNth2gt12 - - gtu31*gtu32*J22L*PDstandardNth2gt13 - - gtu21*gtu33*J22L*PDstandardNth2gt13 - - gtu22*gtu32*J22L*PDstandardNth2gt22 - - gtu22*gtu33*J22L*PDstandardNth2gt23 - - gtu32*gtu33*J22L*PDstandardNth2gt33 - - gtu21*gtu31*J32L*PDstandardNth3gt11 - - gtu22*gtu31*J32L*PDstandardNth3gt12 - - gtu21*gtu32*J32L*PDstandardNth3gt12 - - gtu31*gtu32*J32L*PDstandardNth3gt13 - - gtu21*gtu33*J32L*PDstandardNth3gt13 - - gtu22*gtu32*J32L*PDstandardNth3gt22 - - gtu22*gtu33*J32L*PDstandardNth3gt23 - - gtu32*gtu33*J32L*PDstandardNth3gt33 - - J12L*PDstandardNth1gt23*SQR(gtu32) - J22L*PDstandardNth2gt23*SQR(gtu32) - - J32L*PDstandardNth3gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu332 = -2*(gtu31*gtu32*J12L*PDstandardNth1gt12 + - gtu31*gtu33*J12L*PDstandardNth1gt13 + - gtu32*gtu33*J12L*PDstandardNth1gt23 + - gtu31*gtu32*J22L*PDstandardNth2gt12 + - gtu31*gtu33*J22L*PDstandardNth2gt13 + - gtu32*gtu33*J22L*PDstandardNth2gt23 + - gtu31*gtu32*J32L*PDstandardNth3gt12 + - gtu31*gtu33*J32L*PDstandardNth3gt13 + - gtu32*gtu33*J32L*PDstandardNth3gt23) - - J12L*PDstandardNth1gt11*SQR(gtu31) - J22L*PDstandardNth2gt11*SQR(gtu31) - - J32L*PDstandardNth3gt11*SQR(gtu31) - - J12L*PDstandardNth1gt22*SQR(gtu32) - J22L*PDstandardNth2gt22*SQR(gtu32) - - J32L*PDstandardNth3gt22*SQR(gtu32) - - J12L*PDstandardNth1gt33*SQR(gtu33) - J22L*PDstandardNth2gt33*SQR(gtu33) - - J32L*PDstandardNth3gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu113 = -2*(gtu11*gtu21*J13L*PDstandardNth1gt12 + - gtu11*gtu31*J13L*PDstandardNth1gt13 + - gtu21*gtu31*J13L*PDstandardNth1gt23 + - gtu11*gtu21*J23L*PDstandardNth2gt12 + - gtu11*gtu31*J23L*PDstandardNth2gt13 + - gtu21*gtu31*J23L*PDstandardNth2gt23 + - gtu11*gtu21*J33L*PDstandardNth3gt12 + - gtu11*gtu31*J33L*PDstandardNth3gt13 + - gtu21*gtu31*J33L*PDstandardNth3gt23) - - J13L*PDstandardNth1gt11*SQR(gtu11) - J23L*PDstandardNth2gt11*SQR(gtu11) - - J33L*PDstandardNth3gt11*SQR(gtu11) - - J13L*PDstandardNth1gt22*SQR(gtu21) - J23L*PDstandardNth2gt22*SQR(gtu21) - - J33L*PDstandardNth3gt22*SQR(gtu21) - - J13L*PDstandardNth1gt33*SQR(gtu31) - J23L*PDstandardNth2gt33*SQR(gtu31) - - J33L*PDstandardNth3gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu213 = -(gtu11*gtu21*J13L*PDstandardNth1gt11) - - gtu11*gtu22*J13L*PDstandardNth1gt12 - - gtu21*gtu31*J13L*PDstandardNth1gt13 - - gtu11*gtu32*J13L*PDstandardNth1gt13 - - gtu21*gtu22*J13L*PDstandardNth1gt22 - - gtu22*gtu31*J13L*PDstandardNth1gt23 - - gtu21*gtu32*J13L*PDstandardNth1gt23 - - gtu31*gtu32*J13L*PDstandardNth1gt33 - - gtu11*gtu21*J23L*PDstandardNth2gt11 - - gtu11*gtu22*J23L*PDstandardNth2gt12 - - gtu21*gtu31*J23L*PDstandardNth2gt13 - - gtu11*gtu32*J23L*PDstandardNth2gt13 - - gtu21*gtu22*J23L*PDstandardNth2gt22 - - gtu22*gtu31*J23L*PDstandardNth2gt23 - - gtu21*gtu32*J23L*PDstandardNth2gt23 - - gtu31*gtu32*J23L*PDstandardNth2gt33 - - gtu11*gtu21*J33L*PDstandardNth3gt11 - - gtu11*gtu22*J33L*PDstandardNth3gt12 - - gtu21*gtu31*J33L*PDstandardNth3gt13 - - gtu11*gtu32*J33L*PDstandardNth3gt13 - - gtu21*gtu22*J33L*PDstandardNth3gt22 - - gtu22*gtu31*J33L*PDstandardNth3gt23 - - gtu21*gtu32*J33L*PDstandardNth3gt23 - - gtu31*gtu32*J33L*PDstandardNth3gt33 - - J13L*PDstandardNth1gt12*SQR(gtu21) - J23L*PDstandardNth2gt12*SQR(gtu21) - - J33L*PDstandardNth3gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu313 = -(gtu11*gtu31*J13L*PDstandardNth1gt11) - - gtu21*gtu31*J13L*PDstandardNth1gt12 - - gtu11*gtu32*J13L*PDstandardNth1gt12 - - gtu11*gtu33*J13L*PDstandardNth1gt13 - - gtu21*gtu32*J13L*PDstandardNth1gt22 - - gtu31*gtu32*J13L*PDstandardNth1gt23 - - gtu21*gtu33*J13L*PDstandardNth1gt23 - - gtu31*gtu33*J13L*PDstandardNth1gt33 - - gtu11*gtu31*J23L*PDstandardNth2gt11 - - gtu21*gtu31*J23L*PDstandardNth2gt12 - - gtu11*gtu32*J23L*PDstandardNth2gt12 - - gtu11*gtu33*J23L*PDstandardNth2gt13 - - gtu21*gtu32*J23L*PDstandardNth2gt22 - - gtu31*gtu32*J23L*PDstandardNth2gt23 - - gtu21*gtu33*J23L*PDstandardNth2gt23 - - gtu31*gtu33*J23L*PDstandardNth2gt33 - - gtu11*gtu31*J33L*PDstandardNth3gt11 - - gtu21*gtu31*J33L*PDstandardNth3gt12 - - gtu11*gtu32*J33L*PDstandardNth3gt12 - - gtu11*gtu33*J33L*PDstandardNth3gt13 - - gtu21*gtu32*J33L*PDstandardNth3gt22 - - gtu31*gtu32*J33L*PDstandardNth3gt23 - - gtu21*gtu33*J33L*PDstandardNth3gt23 - - gtu31*gtu33*J33L*PDstandardNth3gt33 - - J13L*PDstandardNth1gt13*SQR(gtu31) - J23L*PDstandardNth2gt13*SQR(gtu31) - - J33L*PDstandardNth3gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu223 = -2*(gtu21*gtu22*J13L*PDstandardNth1gt12 + - gtu21*gtu32*J13L*PDstandardNth1gt13 + - gtu22*gtu32*J13L*PDstandardNth1gt23 + - gtu21*gtu22*J23L*PDstandardNth2gt12 + - gtu21*gtu32*J23L*PDstandardNth2gt13 + - gtu22*gtu32*J23L*PDstandardNth2gt23 + - gtu21*gtu22*J33L*PDstandardNth3gt12 + - gtu21*gtu32*J33L*PDstandardNth3gt13 + - gtu22*gtu32*J33L*PDstandardNth3gt23) - - J13L*PDstandardNth1gt11*SQR(gtu21) - J23L*PDstandardNth2gt11*SQR(gtu21) - - J33L*PDstandardNth3gt11*SQR(gtu21) - - J13L*PDstandardNth1gt22*SQR(gtu22) - J23L*PDstandardNth2gt22*SQR(gtu22) - - J33L*PDstandardNth3gt22*SQR(gtu22) - - J13L*PDstandardNth1gt33*SQR(gtu32) - J23L*PDstandardNth2gt33*SQR(gtu32) - - J33L*PDstandardNth3gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu323 = -(gtu21*gtu31*J13L*PDstandardNth1gt11) - - gtu22*gtu31*J13L*PDstandardNth1gt12 - - gtu21*gtu32*J13L*PDstandardNth1gt12 - - gtu31*gtu32*J13L*PDstandardNth1gt13 - - gtu21*gtu33*J13L*PDstandardNth1gt13 - - gtu22*gtu32*J13L*PDstandardNth1gt22 - - gtu22*gtu33*J13L*PDstandardNth1gt23 - - gtu32*gtu33*J13L*PDstandardNth1gt33 - - gtu21*gtu31*J23L*PDstandardNth2gt11 - - gtu22*gtu31*J23L*PDstandardNth2gt12 - - gtu21*gtu32*J23L*PDstandardNth2gt12 - - gtu31*gtu32*J23L*PDstandardNth2gt13 - - gtu21*gtu33*J23L*PDstandardNth2gt13 - - gtu22*gtu32*J23L*PDstandardNth2gt22 - - gtu22*gtu33*J23L*PDstandardNth2gt23 - - gtu32*gtu33*J23L*PDstandardNth2gt33 - - gtu21*gtu31*J33L*PDstandardNth3gt11 - - gtu22*gtu31*J33L*PDstandardNth3gt12 - - gtu21*gtu32*J33L*PDstandardNth3gt12 - - gtu31*gtu32*J33L*PDstandardNth3gt13 - - gtu21*gtu33*J33L*PDstandardNth3gt13 - - gtu22*gtu32*J33L*PDstandardNth3gt22 - - gtu22*gtu33*J33L*PDstandardNth3gt23 - - gtu32*gtu33*J33L*PDstandardNth3gt33 - - J13L*PDstandardNth1gt23*SQR(gtu32) - J23L*PDstandardNth2gt23*SQR(gtu32) - - J33L*PDstandardNth3gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu333 = -2*(gtu31*gtu32*J13L*PDstandardNth1gt12 + - gtu31*gtu33*J13L*PDstandardNth1gt13 + - gtu32*gtu33*J13L*PDstandardNth1gt23 + - gtu31*gtu32*J23L*PDstandardNth2gt12 + - gtu31*gtu33*J23L*PDstandardNth2gt13 + - gtu32*gtu33*J23L*PDstandardNth2gt23 + - gtu31*gtu32*J33L*PDstandardNth3gt12 + - gtu31*gtu33*J33L*PDstandardNth3gt13 + - gtu32*gtu33*J33L*PDstandardNth3gt23) - - J13L*PDstandardNth1gt11*SQR(gtu31) - J23L*PDstandardNth2gt11*SQR(gtu31) - - J33L*PDstandardNth3gt11*SQR(gtu31) - - J13L*PDstandardNth1gt22*SQR(gtu32) - J23L*PDstandardNth2gt22*SQR(gtu32) - - J33L*PDstandardNth3gt22*SQR(gtu32) - - J13L*PDstandardNth1gt33*SQR(gtu33) - J23L*PDstandardNth2gt33*SQR(gtu33) - - J33L*PDstandardNth3gt33*SQR(gtu33); - - CCTK_REAL_VEC Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL_VEC Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL_VEC Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL_VEC Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL_VEC Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL_VEC Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL_VEC Gtl211 = khalf*(-(J12L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt12 - J22L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt12 - J32L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL_VEC Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL_VEC Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL_VEC Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL_VEC Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL_VEC Gtl311 = khalf*(-(J13L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt13 - J23L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt13 - J33L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt13); - - CCTK_REAL_VEC Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL_VEC Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL_VEC Gtl322 = khalf*(-(J13L*PDstandardNth1gt22) + - 2*J12L*PDstandardNth1gt23 - J23L*PDstandardNth2gt22 + - 2*J22L*PDstandardNth2gt23 - J33L*PDstandardNth3gt22 + - 2*J32L*PDstandardNth3gt23); - - CCTK_REAL_VEC Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL_VEC Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL_VEC Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL_VEC Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL_VEC Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL_VEC Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL_VEC Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL_VEC Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL_VEC Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL_VEC Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL_VEC Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL_VEC Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL_VEC Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL_VEC Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL_VEC Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL_VEC Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL_VEC Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL_VEC Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL_VEC Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL_VEC Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL_VEC Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL_VEC Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL_VEC Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL_VEC Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL_VEC Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL_VEC Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL_VEC Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL_VEC Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL_VEC Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL_VEC Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL_VEC Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) - + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + - Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + - Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + - J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + - J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + - J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 + - J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + - dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + - J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 + - dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + - dJ312L*PDstandardNth3gt11) + gtu31*(J11L*J13L*PDstandardNth11gt11 + - J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 + - J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + - dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + - J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 + - dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + - dJ313L*PDstandardNth3gt11) + gtu32*(J12L*J13L*PDstandardNth11gt11 + - J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 + - J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + - dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + - J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 + - dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + - dJ323L*PDstandardNth3gt11)) - gtu11*(2*J11L*J21L*PDstandardNth12gt11 + - 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + - 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + - dJ311L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J11L) + - PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt11 + - 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + - 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + - dJ322L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J12L) + - PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt11 + - 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + - 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + - dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + - PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - - CCTK_REAL_VEC Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + - Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + - Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + - Gtlu122 + Gtlu212) + Gt113*Gtlu213 + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + Gt312*(Gtlu131 + Gtlu232 + - Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + khalf*((gt12L*J11L + - gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 - + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + - J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + - dJ112L*PDstandardNth1gt12 + J21L*J22L*PDstandardNth22gt12 + - J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + - dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + - dJ312L*PDstandardNth3gt12) + gtu31*(J11L*J13L*PDstandardNth11gt12 + - J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + - J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + - dJ113L*PDstandardNth1gt12 + J21L*J23L*PDstandardNth22gt12 + - J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + - dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + - dJ313L*PDstandardNth3gt12) + gtu32*(J12L*J13L*PDstandardNth11gt12 + - J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + - J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + - dJ123L*PDstandardNth1gt12 + J22L*J23L*PDstandardNth22gt12 + - J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + - dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + - dJ323L*PDstandardNth3gt12)) + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3Xt2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + - Gtl212)*Xtn2 + (Gtl123 + Gtl213)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + - 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 + - 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + - dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + - PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt12 + - 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + - 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + - dJ322L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J12L) + - PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt12 + - 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + - 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + - dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + - PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - - CCTK_REAL_VEC Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + - Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + (Gt112 + Gt323)*Gtlu132 + - Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + - Gtlu133 + Gtlu313) + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + - Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + 2*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) + khalf*((gt13L*J11L + - gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 - + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + - J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + - dJ112L*PDstandardNth1gt13 + J21L*J22L*PDstandardNth22gt13 + - J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + - dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + - dJ312L*PDstandardNth3gt13) + gtu31*(J11L*J13L*PDstandardNth11gt13 + - J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + - J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + - dJ113L*PDstandardNth1gt13 + J21L*J23L*PDstandardNth22gt13 + - J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + - dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + - dJ313L*PDstandardNth3gt13) + gtu32*(J12L*J13L*PDstandardNth11gt13 + - J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + - J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + - dJ123L*PDstandardNth1gt13 + J22L*J23L*PDstandardNth22gt13 + - J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + - dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + - dJ323L*PDstandardNth3gt13)) + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3Xt2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + - Gtl312)*Xtn2 + (Gtl133 + Gtl313)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + - 2*J11L*J31L*PDstandardNth13gt13 + dJ111L*PDstandardNth1gt13 + - 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + - dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + - PDstandardNth22gt13*SQR(J21L) + PDstandardNth33gt13*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt13 + - 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + - 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + - dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + - PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt13 + - 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + - 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + - dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + - PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - - CCTK_REAL_VEC Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + - 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + - Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + - Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + - J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3) + J22L*(gt12L*PDstandardNth2Xt1 + - gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + - J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + - J12L*J21L*PDstandardNth12gt22 + J11L*J22L*PDstandardNth12gt22 + - J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + - dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + - J22L*J31L*PDstandardNth23gt22 + J21L*J32L*PDstandardNth23gt22 + - dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + - dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + - J13L*J21L*PDstandardNth12gt22 + J11L*J23L*PDstandardNth12gt22 + - J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + - dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + - J23L*J31L*PDstandardNth23gt22 + J21L*J33L*PDstandardNth23gt22 + - dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + - dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + - J13L*J22L*PDstandardNth12gt22 + J12L*J23L*PDstandardNth12gt22 + - J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + - dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + - J23L*J32L*PDstandardNth23gt22 + J22L*J33L*PDstandardNth23gt22 + - dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + - dJ323L*PDstandardNth3gt22)) - gtu11*(2*J11L*J21L*PDstandardNth12gt22 + - 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + - 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + - dJ311L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J11L) + - PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt22 + - 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + - 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + - dJ322L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J12L) + - PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt22 + - 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + - 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + - dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + - PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - - CCTK_REAL_VEC Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + - Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + (Gt222 + Gt323)*Gtlu232 + - Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + - Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + - Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 - + Gt323*Gtlu333) + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + - (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + - gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + - gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + - gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + - gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 - + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + - J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + - dJ112L*PDstandardNth1gt23 + J21L*J22L*PDstandardNth22gt23 + - J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + - dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + - dJ312L*PDstandardNth3gt23) + gtu31*(J11L*J13L*PDstandardNth11gt23 + - J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + - J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + - dJ113L*PDstandardNth1gt23 + J21L*J23L*PDstandardNth22gt23 + - J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + - dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + - dJ313L*PDstandardNth3gt23) + gtu32*(J12L*J13L*PDstandardNth11gt23 + - J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + - J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + - dJ123L*PDstandardNth1gt23 + J22L*J23L*PDstandardNth22gt23 + - J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + - dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + - dJ323L*PDstandardNth3gt23)) + (gt13L*J32L + - gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + - gt22L*J33L)*PDstandardNth3Xt2 + (gt33L*J32L + - gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + - Gtl322)*Xtn2 + (Gtl233 + Gtl323)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + - 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 + - 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + - dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + - PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt23 + - 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + - 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + - dJ322L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J12L) + - PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt23 + - 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + - 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + - dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + - PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - - CCTK_REAL_VEC Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + - 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) - + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + - J12L*J21L*PDstandardNth12gt33 + J11L*J22L*PDstandardNth12gt33 + - J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + - dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + - J22L*J31L*PDstandardNth23gt33 + J21L*J32L*PDstandardNth23gt33 + - dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + - dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + - J13L*J21L*PDstandardNth12gt33 + J11L*J23L*PDstandardNth12gt33 + - J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + - dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + - J23L*J31L*PDstandardNth23gt33 + J21L*J33L*PDstandardNth23gt33 + - dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + - dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + - J13L*J22L*PDstandardNth12gt33 + J12L*J23L*PDstandardNth12gt33 + - J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + - dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + - J23L*J32L*PDstandardNth23gt33 + J22L*J33L*PDstandardNth23gt33 + - dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + - dJ323L*PDstandardNth3gt33)) - gtu11*(2*J11L*J21L*PDstandardNth12gt33 + - 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + - 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + - dJ311L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J11L) + - PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt33 + - 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + - 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + - dJ322L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J12L) + - PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt33 + - 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + - 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + - dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + - PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - - CCTK_REAL_VEC trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + - gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; - - CCTK_REAL_VEC ephi = - IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); - - CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL_VEC rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + - beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + - beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL_VEC MadmL = - 0.01989436788648691697111047042156429525431*(-((Gt111*Gtlu111 + - Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + - Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - - (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + - Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + - Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + - Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + - Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - (Gt112*Gtlu211 + Gt122*Gtlu212 + - Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + - Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + - Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + - Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - - (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + - Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + Gt312*Gtlu332 + - Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + - Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - (Gt112*Gtlu311 + Gt122*Gtlu312 + - Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + - Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + - Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + Gt223*Gtlu322 + - Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + - trRt - ephi*trRt + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + - 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + - SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - - 0.6666666666666666666666666666666666666667*SQR(trKL))); - - CCTK_REAL_VEC Jadm1L = - 0.01989436788648691697111047042156429525431*(2*Atm23 - 2*Atm32 + - (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - - 2*At23L*dgtu323 - At33L*dgtu333 + kfourthird*(J13L*PDstandardNth1trK + - J23L*PDstandardNth2trK + J33L*PDstandardNth3trK) + - 50.26548245743669181540229413247204614715*S3)*yL + (At11L*dgtu112 + - At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + - At33L*dgtu332 - kfourthird*(J12L*PDstandardNth1trK + - J22L*PDstandardNth2trK + J32L*PDstandardNth3trK) - - 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm2L = - 0.01989436788648691697111047042156429525431*(-2*Atm13 + 2*Atm31 + - (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + - At23L*dgtu323) + At33L*dgtu333 - kfourthird*(J13L*PDstandardNth1trK + - J23L*PDstandardNth2trK + J33L*PDstandardNth3trK) - - 50.26548245743669181540229413247204614715*S3)*xL + (-(At11L*dgtu111) - - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - - At33L*dgtu331 + kfourthird*(J11L*PDstandardNth1trK + - J21L*PDstandardNth2trK + J31L*PDstandardNth3trK) + - 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm3L = - 0.01989436788648691697111047042156429525431*(2*Atm12 - 2*Atm21 + - (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - - 2*At23L*dgtu322 - At33L*dgtu332 + kfourthird*(J12L*PDstandardNth1trK + - J22L*PDstandardNth2trK + J32L*PDstandardNth3trK) + - 50.26548245743669181540229413247204614715*S2)*xL + (At11L*dgtu111 + - At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + - At33L*dgtu331 - kfourthird*(J11L*PDstandardNth1trK + - J21L*PDstandardNth2trK + J31L*PDstandardNth3trK) - - 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); - - - /* Copy local copies back to grid functions */ - vec_store_nta(Jadm1[index],Jadm1L); - vec_store_nta(Jadm2[index],Jadm2L); - vec_store_nta(Jadm3[index],Jadm3L); - vec_store_nta(Madm[index],MadmL); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (ML_ADMQuantities_MP); -} - -extern "C" void ML_ADMQuantities_MP(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_MP_Body); -} diff --git a/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.cc b/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.cc deleted file mode 100644 index 112ea66..0000000 --- a/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.cc +++ /dev/null @@ -1,701 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void ML_ADMQuantities_O2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMQuantities_O2_Body"); - } - - if (cctk_iteration % ML_ADMQuantities_O2_calc_every != ML_ADMQuantities_O2_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_ADMQuantities_O2, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL_VEC alphaL = vec_load(alpha[index]); - CCTK_REAL_VEC At11L = vec_load(At11[index]); - CCTK_REAL_VEC At12L = vec_load(At12[index]); - CCTK_REAL_VEC At13L = vec_load(At13[index]); - CCTK_REAL_VEC At22L = vec_load(At22[index]); - CCTK_REAL_VEC At23L = vec_load(At23[index]); - CCTK_REAL_VEC At33L = vec_load(At33[index]); - CCTK_REAL_VEC beta1L = vec_load(beta1[index]); - CCTK_REAL_VEC beta2L = vec_load(beta2[index]); - CCTK_REAL_VEC beta3L = vec_load(beta3[index]); - CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; - CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; - CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; - CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; - CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; - CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; - CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; - CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; - CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; - CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; - CCTK_REAL_VEC gt11L = vec_load(gt11[index]); - CCTK_REAL_VEC gt12L = vec_load(gt12[index]); - CCTK_REAL_VEC gt13L = vec_load(gt13[index]); - CCTK_REAL_VEC gt22L = vec_load(gt22[index]); - CCTK_REAL_VEC gt23L = vec_load(gt23[index]); - CCTK_REAL_VEC gt33L = vec_load(gt33[index]); - CCTK_REAL_VEC phiL = vec_load(phi[index]); - CCTK_REAL_VEC trKL = vec_load(trK[index]); - CCTK_REAL_VEC xL = vec_load(x[index]); - CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); - CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); - CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); - CCTK_REAL_VEC yL = vec_load(y[index]); - CCTK_REAL_VEC zL = vec_load(z[index]); - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC detgt = 1; - - CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL_VEC dgtu111 = -2*(gtu11*gtu21*PDstandardNth1gt12 + - gtu11*gtu31*PDstandardNth1gt13 + gtu21*gtu31*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu11) - PDstandardNth1gt22*SQR(gtu21) - - PDstandardNth1gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu211 = -(gtu11*gtu21*PDstandardNth1gt11) - - gtu11*gtu22*PDstandardNth1gt12 - gtu21*gtu31*PDstandardNth1gt13 - - gtu11*gtu32*PDstandardNth1gt13 - gtu21*gtu22*PDstandardNth1gt22 - - gtu22*gtu31*PDstandardNth1gt23 - gtu21*gtu32*PDstandardNth1gt23 - - gtu31*gtu32*PDstandardNth1gt33 - PDstandardNth1gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu311 = -(gtu11*gtu31*PDstandardNth1gt11) - - gtu21*gtu31*PDstandardNth1gt12 - gtu11*gtu32*PDstandardNth1gt12 - - gtu11*gtu33*PDstandardNth1gt13 - gtu21*gtu32*PDstandardNth1gt22 - - gtu31*gtu32*PDstandardNth1gt23 - gtu21*gtu33*PDstandardNth1gt23 - - gtu31*gtu33*PDstandardNth1gt33 - PDstandardNth1gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu221 = -2*(gtu21*gtu22*PDstandardNth1gt12 + - gtu21*gtu32*PDstandardNth1gt13 + gtu22*gtu32*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu21) - PDstandardNth1gt22*SQR(gtu22) - - PDstandardNth1gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu321 = -(gtu21*gtu31*PDstandardNth1gt11) - - gtu22*gtu31*PDstandardNth1gt12 - gtu21*gtu32*PDstandardNth1gt12 - - gtu31*gtu32*PDstandardNth1gt13 - gtu21*gtu33*PDstandardNth1gt13 - - gtu22*gtu32*PDstandardNth1gt22 - gtu22*gtu33*PDstandardNth1gt23 - - gtu32*gtu33*PDstandardNth1gt33 - PDstandardNth1gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu331 = -2*(gtu31*gtu32*PDstandardNth1gt12 + - gtu31*gtu33*PDstandardNth1gt13 + gtu32*gtu33*PDstandardNth1gt23) - - PDstandardNth1gt11*SQR(gtu31) - PDstandardNth1gt22*SQR(gtu32) - - PDstandardNth1gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu112 = -2*(gtu11*gtu21*PDstandardNth2gt12 + - gtu11*gtu31*PDstandardNth2gt13 + gtu21*gtu31*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu11) - PDstandardNth2gt22*SQR(gtu21) - - PDstandardNth2gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu212 = -(gtu11*gtu21*PDstandardNth2gt11) - - gtu11*gtu22*PDstandardNth2gt12 - gtu21*gtu31*PDstandardNth2gt13 - - gtu11*gtu32*PDstandardNth2gt13 - gtu21*gtu22*PDstandardNth2gt22 - - gtu22*gtu31*PDstandardNth2gt23 - gtu21*gtu32*PDstandardNth2gt23 - - gtu31*gtu32*PDstandardNth2gt33 - PDstandardNth2gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu312 = -(gtu11*gtu31*PDstandardNth2gt11) - - gtu21*gtu31*PDstandardNth2gt12 - gtu11*gtu32*PDstandardNth2gt12 - - gtu11*gtu33*PDstandardNth2gt13 - gtu21*gtu32*PDstandardNth2gt22 - - gtu31*gtu32*PDstandardNth2gt23 - gtu21*gtu33*PDstandardNth2gt23 - - gtu31*gtu33*PDstandardNth2gt33 - PDstandardNth2gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu222 = -2*(gtu21*gtu22*PDstandardNth2gt12 + - gtu21*gtu32*PDstandardNth2gt13 + gtu22*gtu32*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu21) - PDstandardNth2gt22*SQR(gtu22) - - PDstandardNth2gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu322 = -(gtu21*gtu31*PDstandardNth2gt11) - - gtu22*gtu31*PDstandardNth2gt12 - gtu21*gtu32*PDstandardNth2gt12 - - gtu31*gtu32*PDstandardNth2gt13 - gtu21*gtu33*PDstandardNth2gt13 - - gtu22*gtu32*PDstandardNth2gt22 - gtu22*gtu33*PDstandardNth2gt23 - - gtu32*gtu33*PDstandardNth2gt33 - PDstandardNth2gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu332 = -2*(gtu31*gtu32*PDstandardNth2gt12 + - gtu31*gtu33*PDstandardNth2gt13 + gtu32*gtu33*PDstandardNth2gt23) - - PDstandardNth2gt11*SQR(gtu31) - PDstandardNth2gt22*SQR(gtu32) - - PDstandardNth2gt33*SQR(gtu33); - - CCTK_REAL_VEC dgtu113 = -2*(gtu11*gtu21*PDstandardNth3gt12 + - gtu11*gtu31*PDstandardNth3gt13 + gtu21*gtu31*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu11) - PDstandardNth3gt22*SQR(gtu21) - - PDstandardNth3gt33*SQR(gtu31); - - CCTK_REAL_VEC dgtu213 = -(gtu11*gtu21*PDstandardNth3gt11) - - gtu11*gtu22*PDstandardNth3gt12 - gtu21*gtu31*PDstandardNth3gt13 - - gtu11*gtu32*PDstandardNth3gt13 - gtu21*gtu22*PDstandardNth3gt22 - - gtu22*gtu31*PDstandardNth3gt23 - gtu21*gtu32*PDstandardNth3gt23 - - gtu31*gtu32*PDstandardNth3gt33 - PDstandardNth3gt12*SQR(gtu21); - - CCTK_REAL_VEC dgtu313 = -(gtu11*gtu31*PDstandardNth3gt11) - - gtu21*gtu31*PDstandardNth3gt12 - gtu11*gtu32*PDstandardNth3gt12 - - gtu11*gtu33*PDstandardNth3gt13 - gtu21*gtu32*PDstandardNth3gt22 - - gtu31*gtu32*PDstandardNth3gt23 - gtu21*gtu33*PDstandardNth3gt23 - - gtu31*gtu33*PDstandardNth3gt33 - PDstandardNth3gt13*SQR(gtu31); - - CCTK_REAL_VEC dgtu223 = -2*(gtu21*gtu22*PDstandardNth3gt12 + - gtu21*gtu32*PDstandardNth3gt13 + gtu22*gtu32*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu21) - PDstandardNth3gt22*SQR(gtu22) - - PDstandardNth3gt33*SQR(gtu32); - - CCTK_REAL_VEC dgtu323 = -(gtu21*gtu31*PDstandardNth3gt11) - - gtu22*gtu31*PDstandardNth3gt12 - gtu21*gtu32*PDstandardNth3gt12 - - gtu31*gtu32*PDstandardNth3gt13 - gtu21*gtu33*PDstandardNth3gt13 - - gtu22*gtu32*PDstandardNth3gt22 - gtu22*gtu33*PDstandardNth3gt23 - - gtu32*gtu33*PDstandardNth3gt33 - PDstandardNth3gt23*SQR(gtu32); - - CCTK_REAL_VEC dgtu333 = -2*(gtu31*gtu32*PDstandardNth3gt12 + - gtu31*gtu33*PDstandardNth3gt13 + gtu32*gtu33*PDstandardNth3gt23) - - PDstandardNth3gt11*SQR(gtu31) - PDstandardNth3gt22*SQR(gtu32) - - PDstandardNth3gt33*SQR(gtu33); - - CCTK_REAL_VEC Gtl111 = khalf*PDstandardNth1gt11; - - CCTK_REAL_VEC Gtl112 = khalf*PDstandardNth2gt11; - - CCTK_REAL_VEC Gtl113 = khalf*PDstandardNth3gt11; - - CCTK_REAL_VEC Gtl122 = -(khalf*PDstandardNth1gt22) + - PDstandardNth2gt12; - - CCTK_REAL_VEC Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 - + PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl133 = -(khalf*PDstandardNth1gt33) + - PDstandardNth3gt13; - - CCTK_REAL_VEC Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - - CCTK_REAL_VEC Gtl212 = khalf*PDstandardNth1gt22; - - CCTK_REAL_VEC Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 - + PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl222 = khalf*PDstandardNth2gt22; - - CCTK_REAL_VEC Gtl223 = khalf*PDstandardNth3gt22; - - CCTK_REAL_VEC Gtl233 = -(khalf*PDstandardNth2gt33) + - PDstandardNth3gt23; - - CCTK_REAL_VEC Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - - CCTK_REAL_VEC Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - - PDstandardNth3gt12); - - CCTK_REAL_VEC Gtl313 = khalf*PDstandardNth1gt33; - - CCTK_REAL_VEC Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - - CCTK_REAL_VEC Gtl323 = khalf*PDstandardNth2gt33; - - CCTK_REAL_VEC Gtl333 = khalf*PDstandardNth3gt33; - - CCTK_REAL_VEC Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL_VEC Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL_VEC Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL_VEC Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL_VEC Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL_VEC Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL_VEC Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL_VEC Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL_VEC Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL_VEC Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL_VEC Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL_VEC Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL_VEC Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL_VEC Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL_VEC Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL_VEC Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL_VEC Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL_VEC Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL_VEC Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL_VEC Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL_VEC Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL_VEC Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL_VEC Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL_VEC Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL_VEC Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL_VEC Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL_VEC Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL_VEC Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL_VEC Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL_VEC Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL_VEC Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL_VEC Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL_VEC Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL_VEC Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL_VEC Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL_VEC Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL_VEC Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) - + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + - Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + - Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + - gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3 + khalf*(-(gtu11*PDstandardNth11gt11) - - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - - gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3; - - CCTK_REAL_VEC Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + - Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + Gt222*Gtlu122 + - Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + - Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + - Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + Gt311*Gtlu321 + - Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + - Gtl212*Xtn2 + Gtl123*Xtn3 + Gtl213*Xtn3); - - CCTK_REAL_VEC Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + - Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + - Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + - Gt113*Gtlu133 + Gt333*Gtlu133 + Gt211*Gtlu231 + Gt212*Gtlu232 + - Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + - Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) - gtu11*PDstandardNth11gt13 - - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + - gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + - Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); - - CCTK_REAL_VEC Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + - 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + - Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + - Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + - gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + - gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - - 2*gtu21*PDstandardNth12gt22 - 2*gtu31*PDstandardNth13gt22 - - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - - gtu33*PDstandardNth33gt22) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; - - CCTK_REAL_VEC Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + - Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + - Gt313*Gtlu231 + Gt222*Gtlu232 + Gt323*Gtlu232 + Gt223*Gtlu233 + - Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + - Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + - Gt322*Gtlu332 + Gt323*Gtlu333) - gtu11*PDstandardNth11gt23 - - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + - gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + - gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + - Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); - - CCTK_REAL_VEC Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + - 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) - + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - - 2*gtu31*PDstandardNth13gt33 - gtu22*PDstandardNth22gt33 - - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + - gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; - - CCTK_REAL_VEC trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + - gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; - - CCTK_REAL_VEC ephi = - IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); - - CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL_VEC rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + - beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + - beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL_VEC MadmL = - 0.01989436788648691697111047042156429525431*(-((Gt111*Gtlu111 + - Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + - Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - - (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + - Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + - Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + - Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + - Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - (Gt112*Gtlu211 + Gt122*Gtlu212 + - Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + - Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + - Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + - Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - - (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + - Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + Gt312*Gtlu332 + - Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + - Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - (Gt112*Gtlu311 + Gt122*Gtlu312 + - Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + - Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + - Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + Gt223*Gtlu322 + - Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + - trRt - ephi*trRt + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + - 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + - SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - - 0.6666666666666666666666666666666666666667*SQR(trKL))); - - CCTK_REAL_VEC Jadm1L = - 0.01989436788648691697111047042156429525431*(2*Atm23 - 2*Atm32 + - (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - - 2*At23L*dgtu323 - At33L*dgtu333 + kfourthird*PDstandardNth3trK + - 50.26548245743669181540229413247204614715*S3)*yL + (At11L*dgtu112 + - At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + - At33L*dgtu332 - kfourthird*PDstandardNth2trK - - 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm2L = - 0.01989436788648691697111047042156429525431*(-2*Atm13 + 2*Atm31 + - (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + - At23L*dgtu323) + At33L*dgtu333 - kfourthird*PDstandardNth3trK - - 50.26548245743669181540229413247204614715*S3)*xL + (-(At11L*dgtu111) - - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - - At33L*dgtu331 + kfourthird*PDstandardNth1trK + - 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); - - CCTK_REAL_VEC Jadm3L = - 0.01989436788648691697111047042156429525431*(2*Atm12 - 2*Atm21 + - (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - - 2*At23L*dgtu322 - At33L*dgtu332 + kfourthird*PDstandardNth2trK + - 50.26548245743669181540229413247204614715*S2)*xL + (At11L*dgtu111 + - At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + - At33L*dgtu331 - kfourthird*PDstandardNth1trK - - 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); - - - /* Copy local copies back to grid functions */ - vec_store_nta(Jadm1[index],Jadm1L); - vec_store_nta(Jadm2[index],Jadm2L); - vec_store_nta(Jadm3[index],Jadm3L); - vec_store_nta(Madm[index],MadmL); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (ML_ADMQuantities_O2); -} - -extern "C" void ML_ADMQuantities_O2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_O2_Body); -} diff --git a/ML_WaveToyFO/src/WTFO_Gaussian.cc b/ML_WaveToyFO/src/WTFO_Gaussian.cc deleted file mode 100644 index dd7821a..0000000 --- a/ML_WaveToyFO/src/WTFO_Gaussian.cc +++ /dev/null @@ -1,119 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void WTFO_Gaussian_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering WTFO_Gaussian_Body"); - } - - if (cctk_iteration % WTFO_Gaussian_calc_every != WTFO_Gaussian_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (WTFO_Gaussian, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC uL = 0; - - CCTK_REAL_VEC v1L = 0; - - CCTK_REAL_VEC v2L = 0; - - CCTK_REAL_VEC v3L = 0; - - CCTK_REAL_VEC rhoL = 0; - - - /* Copy local copies back to grid functions */ - vec_store_nta(rho[index],rhoL); - vec_store_nta(u[index],uL); - vec_store_nta(v1[index],v1L); - vec_store_nta(v2[index],v2L); - vec_store_nta(v3[index],v3L); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (WTFO_Gaussian); -} - -extern "C" void WTFO_Gaussian(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &WTFO_Gaussian_Body); -} diff --git a/ML_WaveToyFO/src/WTFO_RHS.cc b/ML_WaveToyFO/src/WTFO_RHS.cc deleted file mode 100644 index 9961c5b..0000000 --- a/ML_WaveToyFO/src/WTFO_RHS.cc +++ /dev/null @@ -1,136 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void WTFO_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering WTFO_RHS_Body"); - } - - if (cctk_iteration % WTFO_RHS_calc_every != WTFO_RHS_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (WTFO_RHS, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL_VEC PDstandardNth1rho = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2rho = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3rho = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1v1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2v2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3v3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL_VEC rhoL = vec_load(rho[index]); - CCTK_REAL_VEC v1L = vec_load(v1[index]); - CCTK_REAL_VEC v2L = vec_load(v2[index]); - CCTK_REAL_VEC v3L = vec_load(v3[index]); - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL_VEC const PDstandardNth1rho = PDstandardNth1(rho, i, j, k); - CCTK_REAL_VEC const PDstandardNth2rho = PDstandardNth2(rho, i, j, k); - CCTK_REAL_VEC const PDstandardNth3rho = PDstandardNth3(rho, i, j, k); - CCTK_REAL_VEC const PDstandardNth1v1 = PDstandardNth1(v1, i, j, k); - CCTK_REAL_VEC const PDstandardNth2v2 = PDstandardNth2(v2, i, j, k); - CCTK_REAL_VEC const PDstandardNth3v3 = PDstandardNth3(v3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC urhsL = rhoL; - - CCTK_REAL_VEC rhorhsL = PDstandardNth1v1 + PDstandardNth2v2 + - PDstandardNth3v3; - - CCTK_REAL_VEC v1rhsL = PDstandardNth1rho; - - CCTK_REAL_VEC v2rhsL = PDstandardNth2rho; - - CCTK_REAL_VEC v3rhsL = PDstandardNth3rho; - - - /* Copy local copies back to grid functions */ - vec_store_nta(rhorhs[index],rhorhsL); - vec_store_nta(urhs[index],urhsL); - vec_store_nta(v1rhs[index],v1rhsL); - vec_store_nta(v2rhs[index],v2rhsL); - vec_store_nta(v3rhs[index],v3rhsL); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (WTFO_RHS); -} - -extern "C" void WTFO_RHS(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &WTFO_RHS_Body); -} diff --git a/ML_WaveToyFO/src/WTFO_constraints.cc b/ML_WaveToyFO/src/WTFO_constraints.cc deleted file mode 100644 index bdb4471..0000000 --- a/ML_WaveToyFO/src/WTFO_constraints.cc +++ /dev/null @@ -1,128 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "Vectors.hh" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -static void WTFO_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering WTFO_constraints_Body"); - } - - if (cctk_iteration % WTFO_constraints_calc_every != WTFO_constraints_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (WTFO_constraints, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL_VEC PDstandardNth2v1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3v1 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1v2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth3v2 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth1v3 = INITVALUE; - // CCTK_REAL_VEC PDstandardNth2v3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL_VEC v1L = vec_load(v1[index]); - CCTK_REAL_VEC v2L = vec_load(v2[index]); - CCTK_REAL_VEC v3L = vec_load(v3[index]); - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL_VEC const PDstandardNth2v1 = PDstandardNth2(v1, i, j, k); - CCTK_REAL_VEC const PDstandardNth3v1 = PDstandardNth3(v1, i, j, k); - CCTK_REAL_VEC const PDstandardNth1v2 = PDstandardNth1(v2, i, j, k); - CCTK_REAL_VEC const PDstandardNth3v2 = PDstandardNth3(v2, i, j, k); - CCTK_REAL_VEC const PDstandardNth1v3 = PDstandardNth1(v3, i, j, k); - CCTK_REAL_VEC const PDstandardNth2v3 = PDstandardNth2(v3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL_VEC w1L = -PDstandardNth2v3 + PDstandardNth3v2; - - CCTK_REAL_VEC w2L = PDstandardNth1v3 - PDstandardNth3v1; - - CCTK_REAL_VEC w3L = -PDstandardNth1v2 + PDstandardNth2v1; - - - /* Copy local copies back to grid functions */ - vec_store_nta(w1[index],w1L); - vec_store_nta(w2[index],w2L); - vec_store_nta(w3[index],w3L); - i += CCTK_REAL_VEC_SIZE-1; - } - LC_ENDLOOP3 (WTFO_constraints); -} - -extern "C" void WTFO_constraints(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &WTFO_constraints_Body); -} |