diff options
| author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-05-02 17:44:34 -0500 |
|---|---|---|
| committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-05-02 17:44:34 -0500 |
| commit | d7ebd3bb6879421882ac8662034d41a4aa6ced50 (patch) | |
| tree | 8f174c3e769cdc534ec73460558eaf591ee026e3 /ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c | |
| parent | 1309ac14bdb5406b3f274ff2a3eb09f41d6ab2d2 (diff) | |
Regenerate code
Diffstat (limited to 'ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c')
| -rw-r--r-- | ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c | 1188 |
1 files changed, 0 insertions, 1188 deletions
diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c deleted file mode 100644 index 44cca5d..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c +++ /dev/null @@ -1,1188 +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 "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)) - -void ML_BSSN_MP_RHS2_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_BSSN_MP_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_RHS2_calc_every != ML_BSSN_MP_RHS2_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_BSSN_MP_RHS2, - 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 PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[index]; - CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = khalf*(-(J12L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt12 - J22L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt12 - J32L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt12); - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = khalf*(-(J13L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt13 - J23L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt13 - J33L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt13); - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = khalf*(-(J13L*PDstandardNth1gt22) + - 2*J12L*PDstandardNth1gt23 - J23L*PDstandardNth2gt22 + - 2*J22L*PDstandardNth2gt23 - J33L*PDstandardNth3gt22 + - 2*J32L*PDstandardNth3gt23); - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL 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 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 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 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 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 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 fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + - PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi212 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + - fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + (dJ112L - Gt112*J11L - Gt212*J12L - - Gt312*J13L)*PDstandardNth1phi + J22L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ212L - Gt112*J21L - Gt212*J22L - - Gt312*J23L)*PDstandardNth2phi + J32L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - - Gt312*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi213 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ113L - Gt113*J11L - Gt213*J12L - - Gt313*J13L)*PDstandardNth1phi + J23L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ213L - Gt113*J21L - Gt213*J22L - - Gt313*J23L)*PDstandardNth2phi + J33L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - - Gt313*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + - PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi223 = fac2*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + - J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ123L - Gt123*J11L - Gt223*J12L - - Gt323*J13L)*PDstandardNth1phi + J23L*(J22L*PDstandardNth22phi + - J32L*PDstandardNth23phi) + (dJ223L - Gt123*J21L - Gt223*J22L - - Gt323*J23L)*PDstandardNth2phi + J33L*(J22L*PDstandardNth23phi + - J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - - Gt323*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + - PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + - cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + - 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) - + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 - + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + - gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 - + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + - cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + - 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + - cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) - + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + - cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + - cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + - 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + - gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + - 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 - + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + - gt33L*gtu33)*SQR(cdphi3)); - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - CCTK_REAL gu11 = em4phi*gtu11; - - CCTK_REAL gu21 = em4phi*gtu21; - - CCTK_REAL gu31 = em4phi*gtu31; - - CCTK_REAL gu22 = em4phi*gtu22; - - CCTK_REAL gu32 = em4phi*gtu32; - - CCTK_REAL gu33 = em4phi*gtu33; - - CCTK_REAL R11 = Rphi11 + Rt11; - - CCTK_REAL R12 = Rphi12 + Rt12; - - CCTK_REAL R13 = Rphi13 + Rt13; - - CCTK_REAL R22 = Rphi22 + Rt22; - - CCTK_REAL R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL Ats11 = (-dJ111L + 4*cdphi1*J11L + Gt111*J11L + Gt211*J12L + - Gt311*J13L)*PDstandardNth1alpha - 2*(J11L*J21L*PDstandardNth12alpha + - J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + - (-dJ211L + 4*cdphi1*J21L + Gt111*J21L + Gt211*J22L + - Gt311*J23L)*PDstandardNth2alpha + (-dJ311L + 4*cdphi1*J31L + Gt111*J31L - + Gt211*J32L + Gt311*J33L)*PDstandardNth3alpha + alphaL*R11 - - PDstandardNth11alpha*SQR(J11L) - PDstandardNth22alpha*SQR(J21L) - - PDstandardNth33alpha*SQR(J31L); - - CCTK_REAL Ats12 = -(J11L*J12L*PDstandardNth11alpha) - - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - - J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + - (-dJ112L + 2*cdphi2*J11L + Gt112*J11L + 2*cdphi1*J12L + Gt212*J12L + - Gt312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - - J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + - (-dJ212L + 2*cdphi2*J21L + Gt112*J21L + 2*cdphi1*J22L + Gt212*J22L + - Gt312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - - dJ312L*PDstandardNth3alpha + 2*cdphi2*J31L*PDstandardNth3alpha + - Gt112*J31L*PDstandardNth3alpha + 2*cdphi1*J32L*PDstandardNth3alpha + - Gt212*J32L*PDstandardNth3alpha + Gt312*J33L*PDstandardNth3alpha + - alphaL*R12; - - CCTK_REAL Ats13 = -(J11L*J13L*PDstandardNth11alpha) - - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - - J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + - (-dJ113L + 2*cdphi3*J11L + Gt113*J11L + Gt213*J12L + 2*cdphi1*J13L + - Gt313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - - J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + - (-dJ213L + 2*cdphi3*J21L + Gt113*J21L + Gt213*J22L + 2*cdphi1*J23L + - Gt313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - - dJ313L*PDstandardNth3alpha + 2*cdphi3*J31L*PDstandardNth3alpha + - Gt113*J31L*PDstandardNth3alpha + Gt213*J32L*PDstandardNth3alpha + - 2*cdphi1*J33L*PDstandardNth3alpha + Gt313*J33L*PDstandardNth3alpha + - alphaL*R13; - - CCTK_REAL Ats22 = (-dJ122L + Gt122*J11L + 4*cdphi2*J12L + Gt222*J12L + - Gt322*J13L)*PDstandardNth1alpha - 2*(J12L*J22L*PDstandardNth12alpha + - J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + - (-dJ222L + Gt122*J21L + 4*cdphi2*J22L + Gt222*J22L + - Gt322*J23L)*PDstandardNth2alpha + (-dJ322L + Gt122*J31L + 4*cdphi2*J32L - + Gt222*J32L + Gt322*J33L)*PDstandardNth3alpha + alphaL*R22 - - PDstandardNth11alpha*SQR(J12L) - PDstandardNth22alpha*SQR(J22L) - - PDstandardNth33alpha*SQR(J32L); - - CCTK_REAL Ats23 = -(J12L*J13L*PDstandardNth11alpha) - - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - - J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + - (-dJ123L + Gt123*J11L + 2*cdphi3*J12L + Gt223*J12L + 2*cdphi2*J13L + - Gt323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - - J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + - (-dJ223L + Gt123*J21L + 2*cdphi3*J22L + Gt223*J22L + 2*cdphi2*J23L + - Gt323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - - dJ323L*PDstandardNth3alpha + Gt123*J31L*PDstandardNth3alpha + - 2*cdphi3*J32L*PDstandardNth3alpha + Gt223*J32L*PDstandardNth3alpha + - 2*cdphi2*J33L*PDstandardNth3alpha + Gt323*J33L*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL Ats33 = (-dJ133L + Gt133*J11L + Gt233*J12L + 4*cdphi3*J13L + - Gt333*J13L)*PDstandardNth1alpha - 2*(J13L*J23L*PDstandardNth12alpha + - J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + - (-dJ233L + Gt133*J21L + Gt233*J22L + 4*cdphi3*J23L + - Gt333*J23L)*PDstandardNth2alpha + (-dJ333L + Gt133*J31L + Gt233*J32L + - 4*cdphi3*J33L + Gt333*J33L)*PDstandardNth3alpha + alphaL*R33 - - PDstandardNth11alpha*SQR(J13L) - PDstandardNth22alpha*SQR(J23L) - - PDstandardNth33alpha*SQR(J33L); - - CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 - + Ats23*gu32) + Ats33*gu33; - - CCTK_REAL At11rhsL = PDupwindNth1(At11, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At11, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At11, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(At11L*PDstandardNth1beta1 + - At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + - At13L*PDstandardNth2beta3) + J31L*(At11L*PDstandardNth3beta1 + - At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + - alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + - em4phi*(Ats11 - g11*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTxxL - - g11*kthird*trS)); - - CCTK_REAL At12rhsL = PDupwindNth1(At12, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At12, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At12, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (0.3333333333333333333333333333333333333333*At12L*J11L + - At11L*J12L)*PDstandardNth1beta1 + (At22L*J11L + - 0.3333333333333333333333333333333333333333*At12L*J12L)*PDstandardNth1beta2 - + (At23L*J11L + At13L*J12L - - 0.6666666666666666666666666666666666666667*At12L*J13L)*PDstandardNth1beta3 - + (0.3333333333333333333333333333333333333333*At12L*J21L + - At11L*J22L)*PDstandardNth2beta1 + (At22L*J21L + - 0.3333333333333333333333333333333333333333*At12L*J22L)*PDstandardNth2beta2 - + (At23L*J21L + At13L*J22L - - 0.6666666666666666666666666666666666666667*At12L*J23L)*PDstandardNth2beta3 - + (0.3333333333333333333333333333333333333333*At12L*J31L + - At11L*J32L)*PDstandardNth3beta1 + (At22L*J31L + - 0.3333333333333333333333333333333333333333*At12L*J32L)*PDstandardNth3beta2 - + (At23L*J31L + At13L*J32L - - 0.6666666666666666666666666666666666666667*At12L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + At12L*trKL) + - em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxyL + - 8.377580409572781969233715688745341024526*g12*trS)); - - CCTK_REAL At13rhsL = PDupwindNth1(At13, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At13, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At13, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (0.3333333333333333333333333333333333333333*At13L*J11L + - At11L*J13L)*PDstandardNth1beta1 + (At23L*J11L - - 0.6666666666666666666666666666666666666667*At13L*J12L + - At12L*J13L)*PDstandardNth1beta2 + (At33L*J11L + - 0.3333333333333333333333333333333333333333*At13L*J13L)*PDstandardNth1beta3 - + (0.3333333333333333333333333333333333333333*At13L*J21L + - At11L*J23L)*PDstandardNth2beta1 + (At23L*J21L - - 0.6666666666666666666666666666666666666667*At13L*J22L + - At12L*J23L)*PDstandardNth2beta2 + (At33L*J21L + - 0.3333333333333333333333333333333333333333*At13L*J23L)*PDstandardNth2beta3 - + (0.3333333333333333333333333333333333333333*At13L*J31L + - At11L*J33L)*PDstandardNth3beta1 + (At23L*J31L - - 0.6666666666666666666666666666666666666667*At13L*J32L + - At12L*J33L)*PDstandardNth3beta2 + (At33L*J31L + - 0.3333333333333333333333333333333333333333*At13L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + At13L*trKL) + - em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxzL + - 8.377580409572781969233715688745341024526*g13*trS)); - - CCTK_REAL At22rhsL = PDupwindNth1(At22, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At22, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At22, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(At12L*PDstandardNth1beta1 + - At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + - J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + - At23L*PDstandardNth2beta3) + J32L*(At12L*PDstandardNth3beta1 + - At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + - alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + - em4phi*(Ats22 - g22*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTyyL - - g22*kthird*trS)); - - CCTK_REAL At23rhsL = PDupwindNth1(At23, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At23, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At23, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (-0.6666666666666666666666666666666666666667*At23L*J11L + At13L*J12L + - At12L*J13L)*PDstandardNth1beta1 + - (0.3333333333333333333333333333333333333333*At23L*J12L + - At22L*J13L)*PDstandardNth1beta2 + (At33L*J12L + - 0.3333333333333333333333333333333333333333*At23L*J13L)*PDstandardNth1beta3 - + (-0.6666666666666666666666666666666666666667*At23L*J21L + At13L*J22L - + At12L*J23L)*PDstandardNth2beta1 + - (0.3333333333333333333333333333333333333333*At23L*J22L + - At22L*J23L)*PDstandardNth2beta2 + (At33L*J22L + - 0.3333333333333333333333333333333333333333*At23L*J23L)*PDstandardNth2beta3 - + (-0.6666666666666666666666666666666666666667*At23L*J31L + At13L*J32L - + At12L*J33L)*PDstandardNth3beta1 + - (0.3333333333333333333333333333333333333333*At23L*J32L + - At22L*J33L)*PDstandardNth3beta2 + (At33L*J32L + - 0.3333333333333333333333333333333333333333*At23L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + At23L*trKL) + - em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyzL + - 8.377580409572781969233715688745341024526*g23*trS)); - - CCTK_REAL At33rhsL = PDupwindNth1(At33, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At33, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At33, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(At13L*PDstandardNth1beta1 + - At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + - J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + - At33L*PDstandardNth2beta3) + J33L*(At13L*PDstandardNth3beta1 + - At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + - alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + - em4phi*(Ats33 - g33*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTzzL - - g33*kthird*trS)); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_RHS2); -} - -void ML_BSSN_MP_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS2_Body); -} |