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_MP | |
| parent | cb546d85228985472ddc13d1633d4f0eb689f872 (diff) | |
Don't build or schedule old RHS routine any more
Diffstat (limited to 'ML_BSSN_MP')
| -rw-r--r-- | ML_BSSN_MP/param.ccl | 12 | ||||
| -rw-r--r-- | ML_BSSN_MP/schedule.ccl | 5 | ||||
| -rw-r--r-- | ML_BSSN_MP/src/ML_BSSN_MP_RHS.c | 2159 | ||||
| -rw-r--r-- | ML_BSSN_MP/src/make.code.defn | 2 |
4 files changed, 1 insertions, 2177 deletions
diff --git a/ML_BSSN_MP/param.ccl b/ML_BSSN_MP/param.ccl index 19b7782..59487d6 100644 --- a/ML_BSSN_MP/param.ccl +++ b/ML_BSSN_MP/param.ccl @@ -207,12 +207,6 @@ CCTK_INT ML_BSSN_MP_convertFromADMBaseGamma_calc_every "ML_BSSN_MP_convertFromAD } 1 restricted: -CCTK_INT ML_BSSN_MP_RHS_calc_every "ML_BSSN_MP_RHS_calc_every" -{ - *:* :: "" -} 1 - -restricted: CCTK_INT ML_BSSN_MP_RHS1_calc_every "ML_BSSN_MP_RHS1_calc_every" { *:* :: "" @@ -303,12 +297,6 @@ CCTK_INT ML_BSSN_MP_convertFromADMBaseGamma_calc_offset "ML_BSSN_MP_convertFromA } 0 restricted: -CCTK_INT ML_BSSN_MP_RHS_calc_offset "ML_BSSN_MP_RHS_calc_offset" -{ - *:* :: "" -} 0 - -restricted: CCTK_INT ML_BSSN_MP_RHS1_calc_offset "ML_BSSN_MP_RHS1_calc_offset" { *:* :: "" diff --git a/ML_BSSN_MP/schedule.ccl b/ML_BSSN_MP/schedule.ccl index e7232b9..2fba415 100644 --- a/ML_BSSN_MP/schedule.ccl +++ b/ML_BSSN_MP/schedule.ccl @@ -365,11 +365,6 @@ if (CCTK_EQUALS(my_initial_data, "ADMBase")) } "ML_BSSN_MP_convertFromADMBaseGamma" } -schedule ML_BSSN_MP_RHS IN NoSuchGroup -{ - LANG: C -} "ML_BSSN_MP_RHS" - schedule ML_BSSN_MP_RHS1 IN ML_BSSN_MP_evolCalcGroup { LANG: C diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c deleted file mode 100644 index aa8e338..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS.c +++ /dev/null @@ -1,2159 +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_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_MP_RHS_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_RHS_calc_every != ML_BSSN_MP_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_MP_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 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 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 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 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*J11L - gtu21*J12L - - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + - gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + - gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + - gtu31*PDstandardNth3gt13))); - - CCTK_REAL Gt211 = khalf*((gtu21*J11L - gtu22*J12L - - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + - gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + - gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + - gtu32*PDstandardNth3gt13))); - - CCTK_REAL Gt311 = khalf*((gtu31*J11L - gtu32*J12L - - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + - gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + - gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + - gtu33*PDstandardNth3gt13))); - - CCTK_REAL Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*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 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) - + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + 2*Gt223) + - 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + 2*(Gt122*Gt213 - + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + gt13L*(2*Gt213*Gt322 + - Gt313*(4*Gt112 + 2*Gt323)) + 2*(Gt213*(Gt212*gt22L + gt23L*Gt312) + - Gt212*(gt23L*Gt313 + gt13L*Gt323) + Gt312*(gt13L*Gt333 + - Gt313*gt33L)))*gtu32 + J11L*(gt11L*PDstandardNth1Xt1 + - gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3) + - J21L*(gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + - gt13L*PDstandardNth2Xt3) + J31L*(gt11L*PDstandardNth3Xt1 + - gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3) + (Gt111*gt11L + - gt12L*Gt211 + gt13L*Gt311)*Xtn1 + (Gt112*gt11L + gt12L*Gt212 + - gt13L*Gt312)*Xtn2 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn3 + - gtu21*(Gt112*(gt13L*Gt311 + 3*(gt12L*Gt211 + gt13L*Gt311)) + - gt11L*(Gt112*(6*Gt111 + 2*Gt212) + 2*(Gt122*Gt211 + Gt123*Gt311 + - Gt113*Gt312)) + 2*(Gt212*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + - gt13L*(Gt211*Gt322 + Gt311*Gt323)) + Gt312*(gt13L*(4*Gt111 + 2*Gt313) + - 2*(Gt211*gt23L + Gt311*gt33L)) + gt12L*(4*Gt111*Gt212 + Gt211*(Gt112 + - 2*Gt222) + 2*(Gt223*Gt311 + Gt213*Gt312 + SQR(Gt212)))) + - gtu11*(4*Gt111*(gt12L*Gt211 + gt13L*Gt311) + 2*(gt12L*(Gt211*Gt212 + - Gt213*Gt311) + Gt211*(gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt313) + - gt11L*(2*(Gt112*Gt211 + Gt113*Gt311) + 3*SQR(Gt111)) + gt22L*SQR(Gt211) - + gt33L*SQR(Gt311)) + gtu22*(4*Gt112*(gt12L*Gt212 + gt13L*Gt312) + - 2*(gt12L*(Gt212*Gt222 + Gt223*Gt312) + Gt212*(gt23L*Gt312 + - gt13L*Gt322) + gt13L*Gt312*Gt323) + gt11L*(2*(Gt122*Gt212 + - Gt123*Gt312) + 3*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - gtu33*(4*Gt113*(gt12L*Gt213 + gt13L*Gt313) + 2*(gt12L*(Gt213*Gt223 + - Gt233*Gt313) + Gt213*(gt23L*Gt313 + gt13L*Gt323) + gt13L*Gt313*Gt333) + - gt11L*(2*(Gt123*Gt213 + Gt133*Gt313) + 3*SQR(Gt113)) + gt22L*SQR(Gt213) - + gt33L*SQR(Gt313)) + gtu31*(Gt113*(gt13L*Gt311 + 3*(gt12L*Gt211 + - gt13L*Gt311)) + gt11L*(2*(Gt123*Gt211 + Gt112*Gt213 + Gt133*Gt311) + - Gt113*(6*Gt111 + 2*Gt313)) + gt12L*(Gt211*(Gt113 + 2*Gt223) + - 2*Gt233*Gt311 + Gt213*(4*Gt111 + 2*(Gt212 + Gt313))) + - 2*(Gt213*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt333 - + Gt313*(Gt211*gt23L + Gt311*gt33L)) + gt13L*(4*Gt111*Gt313 + - 2*(Gt211*Gt323 + SQR(Gt313)))) + - 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 = 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 + (Gt112*gt11L + Gt111*gt12L + - gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)*Xtn1 + - (gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + - gt13L*Gt322)*Xtn2 + (gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + - Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323)*Xtn3 + 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)) + - 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)) + - 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))) + 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))) + 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)) + - 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)) + - 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))) - - 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 = 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 + (Gt113*gt11L + Gt111*gt13L + - gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L)*Xtn1 + - (gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + - Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + - Gt213*gt23L + gt13L*Gt333 + 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)) + 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)) + - 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)) + 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)) + 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)) + - 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)) + 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))) - - 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 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + - 4*gt23L*Gt312) + Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + - 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt123 + - gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) - + 2*(Gt113*gt12L*Gt323 + Gt312*(gt12L*Gt133 + gt22L*Gt233 + - gt23L*Gt333)) + Gt323*(Gt112*gt13L + 4*Gt212*gt23L + 2*(Gt213*gt22L + - gt23L*Gt313 + Gt312*gt33L)))*gtu31 + J12L*(gt12L*PDstandardNth1Xt1 + - gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3) + - J22L*(gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + - gt23L*PDstandardNth2Xt3) + J32L*(gt12L*PDstandardNth3Xt1 + - gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3) + (Gt112*gt12L + - Gt212*gt22L + gt23L*Gt312)*Xtn1 + (Gt122*gt12L + Gt222*gt22L + - gt23L*Gt322)*Xtn2 + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn3 + - gtu21*(Gt222*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + - Gt122*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + - gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt122 + gt12L*Gt222 + - 2*(Gt212*gt22L + gt23L*Gt312) + gt13L*Gt322) + Gt322*(Gt112*gt13L + - 4*Gt212*gt23L + 2*(Gt213*gt22L + gt23L*Gt313 + Gt312*gt33L)) + - 2*(Gt312*(Gt123*gt12L + Gt223*gt22L + gt23L*Gt323) + gt12L*(Gt113*Gt322 - + SQR(Gt112)))) + gtu11*(Gt112*(gt12L*(2*Gt111 + 4*Gt212) + - 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt312*(2*(Gt113*gt12L + - Gt213*gt22L) + gt23L*(4*Gt212 + 2*Gt313)) + gt11L*SQR(Gt112) + - 3*gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + gtu22*(Gt122*(gt12L*(2*Gt112 + - 4*Gt222) + 2*(Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322)) + - Gt322*(2*(Gt123*gt12L + Gt223*gt22L) + gt23L*(4*Gt222 + 2*Gt323)) + - gt11L*SQR(Gt122) + 3*gt22L*SQR(Gt222) + gt33L*SQR(Gt322)) + - gtu33*(Gt123*(gt12L*(2*Gt113 + 4*Gt223) + 2*(Gt213*gt22L + gt23L*Gt313 - + gt13L*Gt323)) + Gt323*(2*(gt12L*Gt133 + gt22L*Gt233) + gt23L*(4*Gt223 - + 2*Gt333)) + gt11L*SQR(Gt123) + 3*gt22L*SQR(Gt223) + gt33L*SQR(Gt323)) - + gtu32*(gt22L*(2*(Gt122*Gt213 + Gt233*Gt322) + Gt223*(6*Gt222 + - 2*Gt323)) + 4*(gt12L*(Gt123*Gt222 + Gt122*Gt223) + gt23L*(Gt223*Gt322 + - Gt222*Gt323)) + 2*(Gt123*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312 + - gt13L*Gt322) + gt12L*(Gt133*Gt322 + Gt123*Gt323) + Gt122*(gt11L*Gt123 + - Gt113*gt12L + gt23L*Gt313 + gt13L*Gt323) + Gt322*(gt23L*Gt333 + - Gt323*gt33L) + gt23L*SQR(Gt323))) + - 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 = 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 + (Gt113*gt12L + Gt112*gt13L + - Gt213*gt22L + Gt212*gt23L + gt23L*Gt313 + Gt312*gt33L)*Xtn1 + - (Gt123*gt12L + Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + gt23L*Gt323 + - Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + Gt123*gt13L + gt22L*Gt233 + - Gt223*gt23L + gt23L*Gt333 + 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)) + 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)) + 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)) + 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)) + 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)) + 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)) + 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))) - 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 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L - + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + 6*Gt313*Gt323)*gt33L + - 2*(gt13L*(Gt122*Gt213 + Gt112*Gt223) + Gt213*(Gt223*gt22L + - Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + - Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + Gt113*(gt11L*Gt123 + - Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L)))*gtu21 + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + (Gt113*gt13L + Gt213*gt23L + - Gt313*gt33L)*Xtn1 + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn2 + - (Gt133*gt13L + Gt233*gt23L + Gt333*gt33L)*Xtn3 + - gtu31*(Gt133*(Gt113*gt11L + 2*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L) - + 4*gt13L*Gt313) + Gt333*(3*Gt113*gt13L + 4*Gt213*gt23L + - 6*Gt313*gt33L) + Gt233*(Gt113*gt12L + 4*gt23L*Gt313 + 2*(Gt213*gt22L + - Gt212*gt23L + Gt312*gt33L)) + Gt113*(gt11L*Gt133 + gt12L*Gt233 + - gt13L*Gt333 + 2*(Gt213*gt23L + Gt313*gt33L)) + 2*(Gt133*Gt311*gt33L + - Gt213*(Gt223*gt23L + Gt323*gt33L) + gt13L*(Gt123*Gt213 + Gt112*Gt233 + - SQR(Gt113)))) + gtu32*(4*((Gt133*gt13L + Gt233*gt23L)*Gt323 + - (Gt123*gt13L + Gt223*gt23L)*Gt333) + Gt323*(2*Gt223 + 6*Gt333)*gt33L + - 2*(Gt133*(Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) + - Gt123*(gt11L*Gt133 + gt13L*(Gt113 + Gt223) + gt12L*Gt233 + Gt213*gt23L - + Gt313*gt33L) + Gt233*(Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + - Gt322*gt33L) + gt23L*SQR(Gt223))) + gtu11*(4*(Gt113*gt13L + - Gt213*gt23L)*Gt313 + 2*(Gt113*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L - + Gt311*gt33L) + Gt213*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) + - gt11L*SQR(Gt113) + gt22L*SQR(Gt213) + 3*gt33L*SQR(Gt313)) + - gtu22*(4*(Gt123*gt13L + Gt223*gt23L)*Gt323 + 2*(Gt123*(Gt112*gt13L + - gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) + Gt223*(Gt122*gt13L + - Gt222*gt23L + Gt322*gt33L)) + gt11L*SQR(Gt123) + gt22L*SQR(Gt223) + - 3*gt33L*SQR(Gt323)) + gtu33*(4*(Gt133*gt13L + Gt233*gt23L)*Gt333 + - 2*(Gt133*(Gt113*gt13L + gt12L*Gt233 + Gt213*gt23L + Gt313*gt33L) + - Gt233*(Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)) + gt11L*SQR(Gt133) + - gt22L*SQR(Gt233) + 3*gt33L*SQR(Gt333)) + - 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 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*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(phi, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(phi, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*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*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt11, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt11, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(gt11L*PDstandardNth1beta1 + - gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + - gt13L*PDstandardNth2beta3) + J31L*(gt11L*PDstandardNth3beta1 + - gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)); - - CCTK_REAL gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt12, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt12, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt12L*J11L + - gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1beta2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1beta3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2beta1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2beta2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2beta3 + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3beta1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3beta2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3beta3 - - gt12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3); - - CCTK_REAL gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt13, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt13, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J11L + - gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1beta2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1beta3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2beta1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2beta2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2beta3 + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3beta1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3beta2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3beta3 - - gt13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3); - - CCTK_REAL gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt22, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt22, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(gt12L*PDstandardNth1beta1 + - gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3) + - J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + - gt23L*PDstandardNth2beta3) + J32L*(gt12L*PDstandardNth3beta1 + - gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)); - - CCTK_REAL gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt23, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt23, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J12L + - gt12L*J13L - gt23L*J11L*ktwothird)*PDstandardNth1beta1 + (gt22L*J13L + - gt23L*J12L*kthird)*PDstandardNth1beta2 + (gt33L*J12L + - gt23L*J13L*kthird)*PDstandardNth1beta3 + (gt13L*J22L + gt12L*J23L - - gt23L*J21L*ktwothird)*PDstandardNth2beta1 + (gt22L*J23L + - gt23L*J22L*kthird)*PDstandardNth2beta2 + (gt33L*J22L + - gt23L*J23L*kthird)*PDstandardNth2beta3 + (gt13L*J32L + gt12L*J33L - - gt23L*J31L*ktwothird)*PDstandardNth3beta1 + (gt22L*J33L + - gt23L*J32L*kthird)*PDstandardNth3beta2 + (gt33L*J32L + - gt23L*J33L*kthird)*PDstandardNth3beta3; - - CCTK_REAL gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt33, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt33, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(gt13L*PDstandardNth1beta1 + - gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3) + - J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + - gt33L*PDstandardNth2beta3) + J33L*(gt13L*PDstandardNth3beta1 + - gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)); - - Xt1rhsL = PDupwindNth1(Xt1, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt1, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt1, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu11*J11L + Atu21*J12L + - Atu31*J13L)*PDstandardNth1alpha + (Atu11*J21L + Atu21*J22L + - Atu31*J23L)*PDstandardNth2alpha + (Atu11*J31L + Atu21*J32L + - Atu31*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta1 + - J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + - dJ112L*PDstandardNth1beta1 + J21L*J22L*PDstandardNth22beta1 + - J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + - dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + - dJ312L*PDstandardNth3beta1) + gtu31*(J11L*J13L*PDstandardNth11beta1 + - J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - dJ113L*PDstandardNth1beta1 + J21L*J23L*PDstandardNth22beta1 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + - dJ313L*PDstandardNth3beta1) + gtu32*(J12L*J13L*PDstandardNth11beta1 + - J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + - J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + - dJ123L*PDstandardNth1beta1 + J22L*J23L*PDstandardNth22beta1 + - J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + - dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + - dJ323L*PDstandardNth3beta1) + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + - Atu31*cdphi3) + Atu11*Gt111 + 2*Atu21*Gt112 + 2*Atu31*Gt113 + - Atu22*Gt122 + 2*Atu32*Gt123 + Atu33*Gt133 - ktwothird*((gtu11*J11L + - gtu21*J12L + gtu31*J13L)*PDstandardNth1trK + (gtu11*J21L + gtu21*J22L + - gtu31*J23L)*PDstandardNth2trK + (gtu11*J31L + gtu21*J32L + - gtu31*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu21*S2 + - gtu31*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - - PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta1 + - 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + - 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + - dJ311L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta1 + - 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + - 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + - dJ322L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J12L) + - PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta1 + - 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + - 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + - dJ333L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J13L) + - PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + - kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu31*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - Xt2rhsL = PDupwindNth1(Xt2, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt2, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt2, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu21*J11L + Atu22*J12L + - Atu32*J13L)*PDstandardNth1alpha + (Atu21*J21L + Atu22*J22L + - Atu32*J23L)*PDstandardNth2alpha + (Atu21*J31L + Atu22*J32L + - Atu32*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta2 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + - dJ112L*PDstandardNth1beta2 + J21L*J22L*PDstandardNth22beta2 + - J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + - dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + - dJ312L*PDstandardNth3beta2) + gtu31*(J11L*J13L*PDstandardNth11beta2 + - J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + - J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + - dJ113L*PDstandardNth1beta2 + J21L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + - dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta2) + gtu32*(J12L*J13L*PDstandardNth11beta2 + - J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - dJ123L*PDstandardNth1beta2 + J22L*J23L*PDstandardNth22beta2 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + - dJ323L*PDstandardNth3beta2) + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + - Atu32*cdphi3) + Atu11*Gt211 + 2*Atu21*Gt212 + 2*Atu31*Gt213 + - Atu22*Gt222 + 2*Atu32*Gt223 + Atu33*Gt233 - ktwothird*((gtu21*J11L + - gtu22*J12L + gtu32*J13L)*PDstandardNth1trK + (gtu21*J21L + gtu22*J22L + - gtu32*J23L)*PDstandardNth2trK + (gtu21*J31L + gtu22*J32L + - gtu32*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu21*S1 + gtu22*S2 + - gtu32*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - - PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta2 + - 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + - 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + - dJ311L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J11L) + - PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta2 + - 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + - 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + - dJ322L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J12L) + - PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta2 + - 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + - 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + - dJ333L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J13L) + - PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + - kthird*(gtu21*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu32*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - Xt3rhsL = PDupwindNth1(Xt3, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt3, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt3, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu31*J11L + Atu32*J12L + - Atu33*J13L)*PDstandardNth1alpha + (Atu31*J21L + Atu32*J22L + - Atu33*J23L)*PDstandardNth2alpha + (Atu31*J31L + Atu32*J32L + - Atu33*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta3 + - J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + - J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta3 + - J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + - dJ312L*PDstandardNth3beta3) + gtu31*(J11L*J13L*PDstandardNth11beta3 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + - dJ113L*PDstandardNth1beta3 + J21L*J23L*PDstandardNth22beta3 + - J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + - dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + - dJ313L*PDstandardNth3beta3) + gtu32*(J12L*J13L*PDstandardNth11beta3 + - J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ123L*PDstandardNth1beta3 + J22L*J23L*PDstandardNth22beta3 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + - dJ323L*PDstandardNth3beta3) + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + - Atu33*cdphi3) + Atu11*Gt311 + 2*Atu21*Gt312 + 2*Atu31*Gt313 + - Atu22*Gt322 + 2*Atu32*Gt323 + Atu33*Gt333 - ktwothird*((gtu31*J11L + - gtu32*J12L + gtu33*J13L)*PDstandardNth1trK + (gtu31*J21L + gtu32*J22L + - gtu33*J23L)*PDstandardNth2trK + (gtu31*J31L + gtu32*J32L + - gtu33*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu31*S1 + gtu32*S2 + - gtu33*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - - PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + - 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + - dJ311L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J11L) + - PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta3 + - 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + - 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + - dJ322L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J12L) + - PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta3 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + - kthird*(gtu31*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu32*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu33*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - trKrhsL = PDupwindNth1(trK, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(trK, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(trK, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) + (-(dJ111L*gu11) - 2*dJ112L*gu21 - - dJ122L*gu22 - 2*dJ113L*gu31 - 2*dJ123L*gu32 - dJ133L*gu33 + - G111*gu11*J11L + 2*G112*gu21*J11L + G122*gu22*J11L + 2*G113*gu31*J11L + - 2*G123*gu32*J11L + G133*gu33*J11L + G211*gu11*J12L + 2*G212*gu21*J12L + - G222*gu22*J12L + 2*G213*gu31*J12L + 2*G223*gu32*J12L + G233*gu33*J12L + - G311*gu11*J13L + 2*G312*gu21*J13L + G322*gu22*J13L + 2*G313*gu31*J13L + - 2*G323*gu32*J13L + G333*gu33*J13L)*PDstandardNth1alpha + - (-(dJ211L*gu11) - 2*dJ212L*gu21 - dJ222L*gu22 - 2*dJ213L*gu31 - - 2*dJ223L*gu32 - dJ233L*gu33 + G111*gu11*J21L + 2*G112*gu21*J21L + - G122*gu22*J21L + 2*G113*gu31*J21L + 2*G123*gu32*J21L + G133*gu33*J21L + - G211*gu11*J22L + 2*G212*gu21*J22L + G222*gu22*J22L + 2*G213*gu31*J22L + - 2*G223*gu32*J22L + G233*gu33*J22L + G311*gu11*J23L + 2*G312*gu21*J23L + - G322*gu22*J23L + 2*G313*gu31*J23L + 2*G323*gu32*J23L + - G333*gu33*J23L)*PDstandardNth2alpha - dJ311L*gu11*PDstandardNth3alpha - - dJ322L*gu22*PDstandardNth3alpha - 2*dJ313L*gu31*PDstandardNth3alpha - - 2*dJ323L*gu32*PDstandardNth3alpha - dJ333L*gu33*PDstandardNth3alpha + - G111*gu11*J31L*PDstandardNth3alpha + G122*gu22*J31L*PDstandardNth3alpha - + 2*G113*gu31*J31L*PDstandardNth3alpha + - 2*G123*gu32*J31L*PDstandardNth3alpha + - G133*gu33*J31L*PDstandardNth3alpha + G211*gu11*J32L*PDstandardNth3alpha - + 2*G212*gu21*J32L*PDstandardNth3alpha + - G222*gu22*J32L*PDstandardNth3alpha + - 2*G213*gu31*J32L*PDstandardNth3alpha + - 2*G223*gu32*J32L*PDstandardNth3alpha + - G233*gu33*J32L*PDstandardNth3alpha + G311*gu11*J33L*PDstandardNth3alpha - + 2*G312*gu21*J33L*PDstandardNth3alpha + - G322*gu22*J33L*PDstandardNth3alpha + - 2*G313*gu31*J33L*PDstandardNth3alpha + - 2*G323*gu32*J33L*PDstandardNth3alpha + - G333*gu33*J33L*PDstandardNth3alpha - - 2*(gu21*J11L*J12L*PDstandardNth11alpha + - gu31*J11L*J13L*PDstandardNth11alpha + - gu32*J12L*J13L*PDstandardNth11alpha + - gu11*J11L*J21L*PDstandardNth12alpha + - gu21*J12L*J21L*PDstandardNth12alpha + - gu31*J13L*J21L*PDstandardNth12alpha + - gu21*J11L*J22L*PDstandardNth12alpha + - gu22*J12L*J22L*PDstandardNth12alpha + - gu32*J13L*J22L*PDstandardNth12alpha + - gu31*J11L*J23L*PDstandardNth12alpha + - gu32*J12L*J23L*PDstandardNth12alpha + - gu33*J13L*J23L*PDstandardNth12alpha + - gu11*J11L*J31L*PDstandardNth13alpha + - gu21*J12L*J31L*PDstandardNth13alpha + - gu31*J13L*J31L*PDstandardNth13alpha + - gu21*J11L*J32L*PDstandardNth13alpha + - gu22*J12L*J32L*PDstandardNth13alpha + - gu32*J13L*J32L*PDstandardNth13alpha + - gu31*J11L*J33L*PDstandardNth13alpha + - gu32*J12L*J33L*PDstandardNth13alpha + - gu33*J13L*J33L*PDstandardNth13alpha + - gu21*J21L*J22L*PDstandardNth22alpha + - gu31*J21L*J23L*PDstandardNth22alpha + - gu32*J22L*J23L*PDstandardNth22alpha + - gu11*J21L*J31L*PDstandardNth23alpha + - gu21*J22L*J31L*PDstandardNth23alpha + - gu31*J23L*J31L*PDstandardNth23alpha + - gu21*J21L*J32L*PDstandardNth23alpha + - gu22*J22L*J32L*PDstandardNth23alpha + - gu32*J23L*J32L*PDstandardNth23alpha + - gu31*J21L*J33L*PDstandardNth23alpha + - gu32*J22L*J33L*PDstandardNth23alpha + - gu33*J23L*J33L*PDstandardNth23alpha + - gu21*J31L*J32L*PDstandardNth33alpha + - gu31*J31L*J33L*PDstandardNth33alpha + - gu32*J32L*J33L*PDstandardNth33alpha + dJ312L*gu21*PDstandardNth3alpha) - + 2*(alphaL*Atm12*Atm21 + alphaL*Atm13*Atm31 + alphaL*Atm23*Atm32 + - G112*gu21*J31L*PDstandardNth3alpha) + - 12.56637061435917295385057353311801153679*alphaL*rho + - 12.56637061435917295385057353311801153679*alphaL*trS + - alphaL*SQR(Atm11) + alphaL*SQR(Atm22) + alphaL*SQR(Atm33) - - gu11*PDstandardNth11alpha*SQR(J11L) - - gu22*PDstandardNth11alpha*SQR(J12L) - - gu33*PDstandardNth11alpha*SQR(J13L) - - gu11*PDstandardNth22alpha*SQR(J21L) - - gu22*PDstandardNth22alpha*SQR(J22L) - - gu33*PDstandardNth22alpha*SQR(J23L) - - gu11*PDstandardNth33alpha*SQR(J31L) - - gu22*PDstandardNth33alpha*SQR(J32L) - - gu33*PDstandardNth33alpha*SQR(J33L) + alphaL*kthird*SQR(trKL); - - CCTK_REAL Ats11 = (-dJ111L + G111*J11L + G211*J12L + - G311*J13L)*PDstandardNth1alpha - 2*(J11L*J21L*PDstandardNth12alpha + - J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + - (-dJ211L + G111*J21L + G211*J22L + G311*J23L)*PDstandardNth2alpha + - (-dJ311L + G111*J31L + G211*J32L + G311*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 + G112*J11L + G212*J12L + G312*J13L)*PDstandardNth1alpha - - J21L*J22L*PDstandardNth22alpha - J22L*J31L*PDstandardNth23alpha - - J21L*J32L*PDstandardNth23alpha + (-dJ212L + G112*J21L + G212*J22L + - G312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - - dJ312L*PDstandardNth3alpha + G112*J31L*PDstandardNth3alpha + - G212*J32L*PDstandardNth3alpha + G312*J33L*PDstandardNth3alpha + - alphaL*R12; - - CCTK_REAL Ats13 = -(J11L*J13L*PDstandardNth11alpha) - - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - - J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + - (-dJ113L + G113*J11L + G213*J12L + G313*J13L)*PDstandardNth1alpha - - J21L*J23L*PDstandardNth22alpha - J23L*J31L*PDstandardNth23alpha - - J21L*J33L*PDstandardNth23alpha + (-dJ213L + G113*J21L + G213*J22L + - G313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - - dJ313L*PDstandardNth3alpha + G113*J31L*PDstandardNth3alpha + - G213*J32L*PDstandardNth3alpha + G313*J33L*PDstandardNth3alpha + - alphaL*R13; - - CCTK_REAL Ats22 = (-dJ122L + G122*J11L + G222*J12L + - G322*J13L)*PDstandardNth1alpha - 2*(J12L*J22L*PDstandardNth12alpha + - J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + - (-dJ222L + G122*J21L + G222*J22L + G322*J23L)*PDstandardNth2alpha + - (-dJ322L + G122*J31L + G222*J32L + G322*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 + G123*J11L + G223*J12L + G323*J13L)*PDstandardNth1alpha - - J22L*J23L*PDstandardNth22alpha - J23L*J32L*PDstandardNth23alpha - - J22L*J33L*PDstandardNth23alpha + (-dJ223L + G123*J21L + G223*J22L + - G323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - - dJ323L*PDstandardNth3alpha + G123*J31L*PDstandardNth3alpha + - G223*J32L*PDstandardNth3alpha + G323*J33L*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL Ats33 = (-dJ133L + G133*J11L + G233*J12L + - G333*J13L)*PDstandardNth1alpha - 2*(J13L*J23L*PDstandardNth12alpha + - J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + - (-dJ233L + G133*J21L + G233*J22L + G333*J23L)*PDstandardNth2alpha + - (-dJ333L + G133*J31L + G233*J32L + G333*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)); - - CCTK_REAL alpharhsL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(alpha, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(alpha, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*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*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta1, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta1, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B1L*ShiftGammaCoeff; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta2, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta2, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B2L*ShiftGammaCoeff; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta3, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta3, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B3L*ShiftGammaCoeff; - - CCTK_REAL B1rhsL = -(B1L*eta) + (beta1L*((PDupwindNth1(B1, i, j, k) - - PDupwindNth1(Xt1, i, j, k))*J11L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J21L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J31L) + beta2L*((PDupwindNth1(B1, i, j, - k) - PDupwindNth1(Xt1, i, j, k))*J12L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J22L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J32L) + beta3L*((PDupwindNth1(B1, i, j, - k) - PDupwindNth1(Xt1, i, j, k))*J13L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J23L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt1rhsL; - - CCTK_REAL B2rhsL = -(B2L*eta) + (beta1L*((PDupwindNth1(B2, i, j, k) - - PDupwindNth1(Xt2, i, j, k))*J11L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J21L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J31L) + beta2L*((PDupwindNth1(B2, i, j, - k) - PDupwindNth1(Xt2, i, j, k))*J12L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J22L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J32L) + beta3L*((PDupwindNth1(B2, i, j, - k) - PDupwindNth1(Xt2, i, j, k))*J13L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J23L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt2rhsL; - - CCTK_REAL B3rhsL = -(B3L*eta) + (beta1L*((PDupwindNth1(B3, i, j, k) - - PDupwindNth1(Xt3, i, j, k))*J11L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J21L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J31L) + beta2L*((PDupwindNth1(B3, i, j, - k) - PDupwindNth1(Xt3, i, j, k))*J12L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J22L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J32L) + beta3L*((PDupwindNth1(B3, i, j, - k) - PDupwindNth1(Xt3, i, j, k))*J13L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J23L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J33L))*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_MP_RHS); -} - -void ML_BSSN_MP_RHS(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS_Body); -} diff --git a/ML_BSSN_MP/src/make.code.defn b/ML_BSSN_MP/src/make.code.defn index 36e9f81..4bf37a0 100644 --- a/ML_BSSN_MP/src/make.code.defn +++ b/ML_BSSN_MP/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.c ML_BSSN_MP_convertFromADMBase.c ML_BSSN_MP_convertFromADMBaseGamma.c ML_BSSN_MP_RHS.c ML_BSSN_MP_RHS1.c ML_BSSN_MP_RHS2.c ML_BSSN_MP_RHSStaticBoundary.c ML_BSSN_MP_RHSRadiativeBoundary.c ML_BSSN_MP_enforce.c ML_BSSN_MP_boundary.c ML_BSSN_MP_convertToADMBase.c ML_BSSN_MP_convertToADMBaseDtLapseShift.c ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_constraints.c ML_BSSN_MP_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.c ML_BSSN_MP_convertFromADMBase.c ML_BSSN_MP_convertFromADMBaseGamma.c ML_BSSN_MP_RHS1.c ML_BSSN_MP_RHS2.c ML_BSSN_MP_RHSStaticBoundary.c ML_BSSN_MP_RHSRadiativeBoundary.c ML_BSSN_MP_enforce.c ML_BSSN_MP_boundary.c ML_BSSN_MP_convertToADMBase.c ML_BSSN_MP_convertToADMBaseDtLapseShift.c ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_constraints.c ML_BSSN_MP_constraints_boundary.c Boundaries.c |