diff options
| author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-03-21 15:48:10 -0500 |
|---|---|---|
| committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-03-21 15:48:10 -0500 |
| commit | 5cbc98c9360c31d269bf488ff945ae518052c1b7 (patch) | |
| tree | c971a74967f5ce4a71810c5ef8902ba21b7cd69f /ML_BSSN | |
| parent | cb546d85228985472ddc13d1633d4f0eb689f872 (diff) | |
Don't build or schedule old RHS routine any more
Diffstat (limited to 'ML_BSSN')
| -rw-r--r-- | ML_BSSN/param.ccl | 12 | ||||
| -rw-r--r-- | ML_BSSN/schedule.ccl | 5 | ||||
| -rw-r--r-- | ML_BSSN/src/ML_BSSN_RHS.c | 1331 | ||||
| -rw-r--r-- | ML_BSSN/src/make.code.defn | 2 |
4 files changed, 1 insertions, 1349 deletions
diff --git a/ML_BSSN/param.ccl b/ML_BSSN/param.ccl index f628d53..8fb0583 100644 --- a/ML_BSSN/param.ccl +++ b/ML_BSSN/param.ccl @@ -207,12 +207,6 @@ CCTK_INT ML_BSSN_convertFromADMBaseGamma_calc_every "ML_BSSN_convertFromADMBaseG } 1 restricted: -CCTK_INT ML_BSSN_RHS_calc_every "ML_BSSN_RHS_calc_every" -{ - *:* :: "" -} 1 - -restricted: CCTK_INT ML_BSSN_RHS1_calc_every "ML_BSSN_RHS1_calc_every" { *:* :: "" @@ -303,12 +297,6 @@ CCTK_INT ML_BSSN_convertFromADMBaseGamma_calc_offset "ML_BSSN_convertFromADMBase } 0 restricted: -CCTK_INT ML_BSSN_RHS_calc_offset "ML_BSSN_RHS_calc_offset" -{ - *:* :: "" -} 0 - -restricted: CCTK_INT ML_BSSN_RHS1_calc_offset "ML_BSSN_RHS1_calc_offset" { *:* :: "" diff --git a/ML_BSSN/schedule.ccl b/ML_BSSN/schedule.ccl index 7b52f97..408a345 100644 --- a/ML_BSSN/schedule.ccl +++ b/ML_BSSN/schedule.ccl @@ -365,11 +365,6 @@ if (CCTK_EQUALS(my_initial_data, "ADMBase")) } "ML_BSSN_convertFromADMBaseGamma" } -schedule ML_BSSN_RHS IN NoSuchGroup -{ - LANG: C -} "ML_BSSN_RHS" - schedule ML_BSSN_RHS1 IN ML_BSSN_evolCalcGroup { LANG: C diff --git a/ML_BSSN/src/ML_BSSN_RHS.c b/ML_BSSN/src/ML_BSSN_RHS.c deleted file mode 100644 index 4c51665..0000000 --- a/ML_BSSN/src/ML_BSSN_RHS.c +++ /dev/null @@ -1,1331 +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_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 ML_BSSN_RHS_Body"); - } - - if (cctk_iteration % ML_BSSN_RHS_calc_every != ML_BSSN_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 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_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 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 PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = 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 PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = 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 AL = A[index]; - 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 B1L = B1[index]; - CCTK_REAL B2L = B2[index]; - CCTK_REAL B3L = B3[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - 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 phiL = phi[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL trKrhsL = trKrhs[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt1rhsL = Xt1rhs[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt2rhsL = Xt2rhs[index]; - CCTK_REAL Xt3L = Xt3[index]; - CCTK_REAL Xt3rhsL = Xt3rhs[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 PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(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 PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(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 PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(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 PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, 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 Gt111 = khalf*(gtu11*PDstandardNth1gt11 + - 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - - CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + - 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - - CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + - 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - - CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + - gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + - PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + - gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + - PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + - gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + - PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + - gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + - gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + - gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + - 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + - 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + - 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + - gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + - gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + - gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - 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 = -(gtu11*khalf*PDstandardNth11gt11) + - gtu21*(2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 - + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + 2*gt13L*Gt311*Gt323 + - 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 - + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + - 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + 4*Gt113*Gt211*gtu31 + - 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + - gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 - + 4*Gt113*Gt311*gtu31 + 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + - PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - - gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + - Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xtn1) + - Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 - + 2*gt11L*Gt123*gtu31 + gt12L*Xtn1) + Gt311*(4*Gt111*gt13L*gtu11 + - 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + - 2*gt11L*Gt133*gtu31 + gt13L*Xtn1) + gt12L*Gt212*Xtn2 + gt13L*Gt312*Xtn2 - + Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + - 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + 6*Gt113*gt11L*gtu32 + - gt11L*Xtn2) + Gt113*gt11L*Xtn3 + Gt213*(2*gt11L*Gt122*gtu32 + - 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xtn3) + - Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 - + 4*Gt112*gt13L*gtu32 + 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + - gt13L*Xtn3) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + - 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + - gt22L*gtu22*SQR(Gt212) + 2*(gt12L*Gt211*Gt212*gtu11 + - Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + - gt13L*Gt211*Gt312*gtu11 + Gt112*gt11L*Gt212*gtu21 + - gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + - gt12L*Gt213*Gt312*gtu21 + Gt211*gt23L*Gt312*gtu21 + - gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + - gt12L*Gt223*Gt312*gtu22 + Gt212*gt23L*Gt312*gtu22 + - gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + - gt12L*Gt212*Gt213*gtu31 + gt12L*Gt211*Gt223*gtu31 + - Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + - Gt213*gt23L*Gt311*gtu31 + gt13L*Gt213*Gt312*gtu31 + - Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + - gt13L*Gt211*Gt323*gtu31 + gt13L*Gt311*Gt333*gtu31 + - Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + - gt12L*Gt213*Gt222*gtu32 + gt12L*Gt212*Gt223*gtu32 + - Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + - gt12L*Gt233*Gt312*gtu32 + Gt213*gt23L*Gt312*gtu32 + - Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + - gt13L*Gt212*Gt323*gtu32 + gt13L*Gt313*Gt323*gtu32 + - gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + - gt12L*Gt213*Gt223*gtu33 + gt12L*Gt233*Gt313*gtu33 + - Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + - gt13L*Gt313*Gt333*gtu33 + gt12L*gtu21*SQR(Gt212)) + - gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + - gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + - gt33L*gtu33*SQR(Gt313); - - CCTK_REAL Rt12 = khalf*(-(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 + (Gt111*gt12L + Gt211*gt22L + - gt23L*Gt311)*Xtn1 + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn1 + - (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xtn2 + (gt11L*Gt122 + - gt12L*Gt222 + gt13L*Gt322)*Xtn2 + (Gt113*gt12L + Gt213*gt22L + - gt23L*Gt313)*Xtn3 + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn3 + - 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + - 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + Gt222*gt23L*Gt311 + - gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + - gt23L*Gt312*Gt313 + Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + - gt13L*Gt313*Gt322 + Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + - gt13L*Gt322) + gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + - Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + gt22L*SQR(Gt212)) + - 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + - gt12L*Gt212*Gt223 + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + - gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + - gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + - Gt123*Gt212 + Gt133*Gt312) + 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + - Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + gt13L*Gt212*Gt323 + - Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + - Gt312*Gt313*gt33L)*gtu31 + (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + - Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + - 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + Gt112*(Gt113*gt12L + - Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + - Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + - gt13L*Gt222*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + - gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + - gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + - 2*Gt112*gt13L*Gt311 + Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + - gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + - gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + Gt111*(gt12L*Gt212 - + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + - gt13L*Gt312*Gt313 + Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + - gt12L*SQR(Gt212))) + 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + - 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + - gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + - Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + - gt13L*Gt322) + gt23L*Gt312*Gt323 + gt13L*Gt322*Gt323 + - Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + gt12L*(3*Gt122*Gt212 + - Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + 2*gtu33*(gt11L*Gt123*Gt223 + - 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + - Gt223*gt23L*Gt313 + gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + - 2*Gt213*gt23L*Gt323 + Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L - + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + gt13L*Gt323*Gt333 + - Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + gt12L*(3*Gt123*Gt213 + - Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + 2*gtu21*(Gt122*gt12L*Gt211 + - 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + - Gt123*gt12L*Gt311 + Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + - gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + Gt111*(Gt112*gt12L + - Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + - gt23L*Gt311*Gt323 + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + - Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + - Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + Gt113*gt23L*Gt311 + - Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + - Gt213*gt22L*Gt313 + Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + - gt13L*Gt313*Gt323 + Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + - gt13L*Gt323) + gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + - Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + gt23L*SQR(Gt313)) + - 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + - Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + - Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + - gt23L*Gt313*Gt323 + Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + - gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + - Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - - CCTK_REAL Rt13 = khalf*(-(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 + (Gt113*gt11L + gt12L*Gt213 + - gt13L*Gt313)*Xtn1 + (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xtn1 + - (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn2 + (Gt112*gt13L + - Gt212*gt23L + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + gt12L*Gt233 + - gt13L*Gt333)*Xtn3 + (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xtn3 + - 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + - gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + Gt211*Gt222*gt23L + - Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + - Gt213*gt23L*Gt312 + Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + - Gt212*gt23L*Gt313 + gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + - gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + Gt312*Gt313*gt33L + - Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + - Gt212*gt23L + Gt312*gt33L))*gtu21 + (Gt122*gt13L*Gt213 + - gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + - Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + - Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + gt13L*Gt233*Gt322 + - gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + - Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + - Gt213*Gt322*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + - gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + - Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + 2*Gt123*gt13L*Gt311 + - Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + - Gt213*gt23L*Gt312 + gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + - gt13L*Gt313*Gt323 + gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + - Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + Gt112*Gt311*gt33L + - Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + - gt23L*SQR(Gt212))) + 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + - Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + - Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + gt13L*Gt223*Gt323 + - gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + gt11L*(2*Gt113*Gt123 + - Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + - Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + - 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + - Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + 3*Gt113*gt13L*Gt311 + - 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + - Gt211*gt23L*Gt313 + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + - Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + Gt111*(gt12L*Gt213 + - Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + - gt13L*SQR(Gt313)) + 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + - Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + - 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + - Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + Gt113*gt11L*Gt333 + - Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + Gt111*(2*gt11L*Gt133 + - Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + gt12L*(2*Gt133*Gt211 + - Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + - Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + 2*gtu31*(Gt123*gt13L*Gt211 + - 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + - Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + - gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + - gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + - Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt11L*(Gt123*Gt213 + - Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + - 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + - Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + 3*Gt123*gt13L*Gt312 + - 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + - Gt212*gt23L*Gt323 + gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + - Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + Gt112*(gt12L*Gt223 + - Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + - gt13L*SQR(Gt323)) + 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + - gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + - Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + - gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + gt12L*Gt233*Gt333 + - Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + - Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + - Gt313*gt33L) + gt13L*SQR(Gt113) + gt13L*SQR(Gt333))); - - CCTK_REAL Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 - + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + - Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - - gtu11*khalf*PDstandardNth11gt22 + gtu21*(6*Gt212*Gt222*gt22L + - 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + - 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - - PDstandardNth12gt22) + gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 - + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + 2*gt23L*Gt312*Gt333 + - 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - - gtu22*khalf*PDstandardNth22gt22 + gtu32*(4*Gt122*gt12L*Gt223 + - 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + - 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + - 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + gt12L*(2*Gt111*Gt123*gtu31 - + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + - PDstandardNth2Xt1) + gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + - 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + gt23L*(4*Gt212*Gt322*gtu21 + - 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + - 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + - 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + 2*Gt323*Gt333*gtu33 + - PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xtn1 - + Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + - 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + 2*gt11L*Gt123*gtu31 + - 2*Gt123*gt12L*gtu32 + gt12L*Xtn1) + Gt312*(2*Gt213*gt22L*gtu11 + - 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + - 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + - 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + gt23L*Xtn1) + - Gt122*gt12L*Xtn2 + Gt222*gt22L*Xtn2 + gt23L*Gt322*Xtn2 + - Gt123*gt12L*Xtn3 + Gt223*gt22L*Xtn3 + gt23L*Gt323*Xtn3 + - gt11L*gtu11*SQR(Gt112) + 2*(Gt112*Gt211*gt22L*gtu11 + - Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + - Gt112*gt13L*Gt312*gtu11 + Gt111*Gt122*gt12L*gtu21 + - Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + - Gt223*gt22L*Gt312*gtu21 + Gt112*gt23L*Gt312*gtu21 + - Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + - Gt122*Gt212*gt22L*gtu22 + Gt123*gt12L*Gt322*gtu22 + - Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + - gt23L*Gt322*Gt323*gtu22 + Gt112*Gt113*gt12L*gtu31 + - Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + - Gt112*gt13L*Gt323*gtu31 + Gt213*gt22L*Gt323*gtu31 + - gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + - gt22L*Gt233*Gt322*gtu32 + Gt122*gt13L*Gt323*gtu32 + - Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + - Gt123*gt13L*Gt323*gtu33 + gt22L*Gt233*Gt323*gtu33 + - gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + - gt11L*gtu33*SQR(Gt123) + 3*gt22L*gtu11*SQR(Gt212) + - 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + - gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + - 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - - CCTK_REAL Rt23 = khalf*(-(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 + (Gt113*gt12L + Gt213*gt22L + - gt23L*Gt313)*Xtn1 + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn1 + - (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn2 + (Gt122*gt13L + - Gt222*gt23L + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + gt22L*Gt233 + - gt23L*Gt333)*Xtn3 + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn3 + - 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + - Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + 2*Gt112*gt12L*Gt223 + - Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + - Gt212*Gt222*gt23L + Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + - 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + - Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + - Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + Gt122*Gt311*gt33L + - Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + - (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + - gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + Gt133*Gt211*gt22L + - 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + - Gt212*Gt223*gt23L + Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + - 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + - Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + - Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + Gt123*Gt311*gt33L + - Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + - gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + - Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + 2*Gt213*Gt222*gt22L + - Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + - Gt223*gt23L*Gt312 + Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + - Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + - 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + - Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + Gt112*(Gt113*gt12L + - Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + - 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + gt12L*Gt133*Gt313 + - gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + - gt13L*(Gt212 + Gt313)) + 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + - Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + - gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + - 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + - Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + 2*Gt112*gt12L*Gt213 + - Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + - Gt113*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + - Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + - Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + - 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + gt23L*SQR(Gt313)) + - 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + - Gt123*gt12L*Gt222 + Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + - Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + - Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + - Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + Gt223*gt22L*Gt323 + - Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + - 2*Gt322*Gt323*gt33L + gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + - 2*gtu32*(gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + - gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + Gt133*Gt212*gt22L + - 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + - Gt222*Gt223*gt23L + Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + - 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + - Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + - Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + Gt123*Gt312*gt33L + - Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + - 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + - 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + Gt122*Gt213*gt23L + - Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + - Gt233*gt23L*Gt322 + gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + - gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + - Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + - gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + gt33L*SQR(Gt323)) + - 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + - gt12L*Gt133*Gt223 + Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + - 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + - Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + - gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + gt22L*Gt233*Gt333 + - Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + - 2*Gt323*Gt333*gt33L + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - - CCTK_REAL Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 - + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + - Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + - Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + - Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + - 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + 4*Gt113*gt13L*Gt323 + - 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + - gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - - PDstandardNth13gt33) - gtu22*khalf*PDstandardNth22gt33 + - gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + - gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 - + 2*Gt133*Gt311*gtu31 + 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + - PDstandardNth3Xt3) + Gt113*gt13L*Xtn1 + Gt213*gt23L*Xtn1 + - Gt313*gt33L*Xtn1 + Gt123*gt13L*Xtn2 + Gt223*gt23L*Xtn2 + - Gt323*gt33L*Xtn2 + Gt133*gt13L*Xtn3 + Gt333*gt33L*Xtn3 + - Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xtn3) + - gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 - + 2*Gt113*Gt311*gt33L + 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 - + gt11L*SQR(Gt113)) + 2*(Gt111*Gt113*gt13L*gtu11 + - Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + - Gt113*Gt211*gt23L*gtu11 + Gt113*gt11L*Gt123*gtu21 + - Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + - Gt123*gt12L*Gt213*gtu21 + Gt122*gt13L*Gt213*gtu21 + - Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + - Gt213*Gt223*gt22L*gtu21 + Gt123*Gt211*gt23L*gtu21 + - Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + - Gt113*Gt312*gt33L*gtu21 + Gt223*Gt312*gt33L*gtu21 + - Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + - Gt122*gt13L*Gt223*gtu22 + Gt123*Gt212*gt23L*gtu22 + - Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + - Gt113*gt11L*Gt133*gtu31 + Gt111*Gt133*gt13L*gtu31 + - gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + - Gt113*gt12L*Gt233*gtu31 + Gt112*gt13L*Gt233*gtu31 + - Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + - Gt113*Gt213*gt23L*gtu31 + Gt213*Gt223*gt23L*gtu31 + - Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + - Gt213*Gt323*gt33L*gtu31 + gt11L*Gt123*Gt133*gtu32 + - Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + - gt12L*Gt133*Gt223*gtu32 + Gt123*gt13L*Gt223*gtu32 + - Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + - Gt223*gt22L*Gt233*gtu32 + Gt133*Gt212*gt23L*gtu32 + - Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + - Gt233*Gt322*gt33L*gtu32 + Gt223*Gt323*gt33L*gtu32 + - Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + - Gt123*gt13L*Gt233*gtu33 + Gt133*Gt213*gt23L*gtu33 + - Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + - gt11L*gtu22*SQR(Gt123) + gt11L*gtu33*SQR(Gt133) + - gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + - 2*gt23L*gtu32*SQR(Gt223) + gt22L*gtu33*SQR(Gt233) + - 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + - 3*gt33L*gtu33*SQR(Gt333); - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL cdphi211 = -(fac1*(-PDstandardNth11phi + - Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - - CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + - Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - - CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + - Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - - CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - - CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + - Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - - CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + - Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(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 Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - CCTK_REAL Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; - - CCTK_REAL Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; - - CCTK_REAL Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; - - CCTK_REAL Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*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 G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - - CCTK_REAL G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + - cdphi3*gtu32); - - CCTK_REAL G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + - cdphi3*gtu33); - - CCTK_REAL G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - - CCTK_REAL G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - - CCTK_REAL G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + - cdphi3*gtu33); - - CCTK_REAL G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + - cdphi3*(2 - 2*gt13L*gtu31); - - CCTK_REAL G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + - cdphi3*gtu32); - - CCTK_REAL G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - - CCTK_REAL G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + - cdphi3*gtu31); - - CCTK_REAL G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - - CCTK_REAL G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + - cdphi3*gtu33); - - CCTK_REAL G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + - cdphi3*gtu31); - - CCTK_REAL G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + - cdphi3*(2 - 2*gt23L*gtu32); - - CCTK_REAL G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - - CCTK_REAL G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + - cdphi3*gtu31); - - CCTK_REAL G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + - cdphi3*gtu32); - - CCTK_REAL G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + - cdphi3*(4 - 2*gt33L*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 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + - PDupwindNth2(phi, i, j, k)*beta2L + PDupwindNth3(phi, i, j, - k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + - PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) - + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - - CCTK_REAL gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, - k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + PDupwindNth3(gt11, - i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + - gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - CCTK_REAL gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, - k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + PDupwindNth3(gt12, - i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + - gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + - gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + - PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); - - CCTK_REAL gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, - k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + PDupwindNth3(gt13, - i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + - gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + - gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + - kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); - - CCTK_REAL gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, - k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + PDupwindNth3(gt22, - i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + - gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + - kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - CCTK_REAL gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, - k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + PDupwindNth3(gt23, - i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + - gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + - gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + - kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); - - CCTK_REAL gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, - k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + PDupwindNth3(gt33, - i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - - gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + - 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; - - Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + - gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + - PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, - k)*beta2L + PDupwindNth3(Xt1, i, j, k)*beta3L + - gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + - gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + - Atu31*PDstandardNth3alpha) + 6*(gtu32*PDstandardNth23beta1 + - alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + - Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + - gtu31*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + - gtu31*S3) + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + - PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - - 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); - - Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 - + PDstandardNth13beta3) + gtu22*(PDstandardNth12beta1 + - 4*PDstandardNth22beta2 + PDstandardNth23beta3) + 3*(PDupwindNth1(Xt2, - i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + - PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + - gtu33*PDstandardNth33beta2) + gtu32*(PDstandardNth13beta1 + - 7*PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + - Atu32*PDstandardNth3alpha) + 6*(gtu31*PDstandardNth13beta2 + - alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + - Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + - gtu32*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + - gtu32*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + - PDstandardNth3beta3)*Xtn2 - 3*(PDstandardNth1beta2*Xtn1 + - PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); - - Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + - 7*PDstandardNth13beta3) + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + - PDupwindNth2(Xt3, i, j, k)*beta2L + PDupwindNth3(Xt3, i, j, - k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + - gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + - 7*PDstandardNth23beta3) + gtu33*(PDstandardNth13beta1 + - PDstandardNth23beta2 + 4*PDstandardNth33beta3) - - 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + - Atu33*PDstandardNth3alpha) + 6*(gtu21*PDstandardNth12beta3 + - alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + - Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + - gtu33*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + - gtu33*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + - PDstandardNth3beta3)*Xtn3 - 3*(PDstandardNth1beta3*Xtn1 + - PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); - - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, - j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + - G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + - G133*gu33)*PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + - gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + (G211*gu11 + - G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + - G233*gu33)*PDstandardNth2alpha - 1.*(gu11*PDstandardNth11alpha + - gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + (G311*gu11 + - G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha - + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + - G312*gu21*PDstandardNth3alpha) + - alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + - SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + - 0.3333333333333333333333333333333333333333*SQR(trKL)); - - CCTK_REAL Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + - G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + alphaL*R11; - - CCTK_REAL Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + - G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + alphaL*R12; - - CCTK_REAL Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + - G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + alphaL*R13; - - CCTK_REAL Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + - G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + alphaL*R22; - - CCTK_REAL Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + - G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + alphaL*R23; - - CCTK_REAL Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - - PDstandardNth33alpha + G333*PDstandardNth3alpha + alphaL*R33; - - CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 - + Ats23*gu32) + Ats33*gu33; - - CCTK_REAL At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + - At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + - PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, - k)*beta3L + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) - + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + - PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - - 0.3333333333333333333333333333333333333333*g11*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxxL + - 8.377580409572781969233715688745341024526*g11*trS)); - - CCTK_REAL At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + - At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + - PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, - k)*beta3L + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + - At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + - At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 - + PDstandardNth2beta2) - - 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + - alphaL*trKL) + em4phi*(Ats12 - - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxyL + - 8.377580409572781969233715688745341024526*g12*trS)); - - CCTK_REAL At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + - At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + - PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, - k)*beta3L + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + - At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + - At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 - + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + - PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxzL + - 8.377580409572781969233715688745341024526*g13*trS)); - - CCTK_REAL At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + - At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + - PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, - k)*beta3L + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) - + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + - PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - - 0.3333333333333333333333333333333333333333*g22*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyyL + - 8.377580409572781969233715688745341024526*g22*trS)); - - CCTK_REAL At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + - At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + - PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, - k)*beta3L + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + - At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + - At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 - + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + - PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyzL + - 8.377580409572781969233715688745341024526*g23*trS)); - - CCTK_REAL At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + - At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + - PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, - k)*beta3L + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) - + - At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 - + PDstandardNth2beta2) + - 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + - alphaL*trKL) + em4phi*(Ats33 - - 0.3333333333333333333333333333333333333333*g33*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTzzL + - 8.377580409572781969233715688745341024526*g33*trS)); - - CCTK_REAL alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + - PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, - k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + - LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - CCTK_REAL ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - - trKrhsL); - - CCTK_REAL eta = BetaDriver*IfThen(rL > - SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); - - CCTK_REAL beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - - CCTK_REAL B1rhsL = -(B1L*eta) + ((PDupwindNth1(B1, i, j, k) - - PDupwindNth1(Xt1, i, j, k))*beta1L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*beta2L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; - - CCTK_REAL B2rhsL = -(B2L*eta) + ((PDupwindNth1(B2, i, j, k) - - PDupwindNth1(Xt2, i, j, k))*beta1L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*beta2L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; - - CCTK_REAL B3rhsL = -(B3L*eta) + ((PDupwindNth1(B3, i, j, k) - - PDupwindNth1(Xt3, i, j, k))*beta1L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*beta2L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_RHS); -} - -void ML_BSSN_RHS(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS_Body); -} diff --git a/ML_BSSN/src/make.code.defn b/ML_BSSN/src/make.code.defn index 4132fcc..3f0d62e 100644 --- a/ML_BSSN/src/make.code.defn +++ b/ML_BSSN/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_RHS.c ML_BSSN_RHS1.c ML_BSSN_RHS2.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_RHS1.c ML_BSSN_RHS2.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c |