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Diffstat (limited to 'ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c')
| -rw-r--r-- | ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c | 862 |
1 files changed, 862 insertions, 0 deletions
diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c new file mode 100644 index 0000000..d749fc8 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c @@ -0,0 +1,862 @@ +/* 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_O2_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* Declare predefined quantities */ + // CCTK_REAL p1o2dx = INITVALUE; + // CCTK_REAL p1o2dy = INITVALUE; + // CCTK_REAL p1o2dz = INITVALUE; + // CCTK_REAL p1o4dxdy = INITVALUE; + // CCTK_REAL p1o4dxdz = INITVALUE; + // CCTK_REAL p1o4dydz = INITVALUE; + // CCTK_REAL p1odx = INITVALUE; + // CCTK_REAL p1odx2 = INITVALUE; + // CCTK_REAL p1ody = INITVALUE; + // CCTK_REAL p1ody2 = INITVALUE; + // CCTK_REAL p1odz = INITVALUE; + // CCTK_REAL p1odz2 = INITVALUE; + // CCTK_REAL pm1o2dx = INITVALUE; + // CCTK_REAL pm1o2dy = INITVALUE; + // CCTK_REAL pm1o2dz = INITVALUE; + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHS2_calc_every != ML_BSSN_O2_RHS2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_RHS2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int subblock_index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + + /* Declare shorthands */ + // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; + // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; + // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; + // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; + // CCTK_REAL g11 = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; + // CCTK_REAL g12 = INITVALUE; + // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; + // CCTK_REAL g13 = INITVALUE; + // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; + // CCTK_REAL g22 = INITVALUE; + // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; + // CCTK_REAL g23 = INITVALUE; + // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; + // CCTK_REAL g33 = INITVALUE; + // CCTK_REAL G333 = INITVALUE; + // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; + // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; + // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; + // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; + // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; + // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; + // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; + // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; + // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; + // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; + // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL trAts = INITVALUE; + // CCTK_REAL trS = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; + // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL eTttL = INITVALUE; + // CCTK_REAL eTtxL = INITVALUE; + // CCTK_REAL eTtyL = INITVALUE; + // CCTK_REAL eTtzL = INITVALUE; + // CCTK_REAL eTxxL = INITVALUE; + // CCTK_REAL eTxyL = INITVALUE; + // CCTK_REAL eTxzL = INITVALUE; + // CCTK_REAL eTyyL = INITVALUE; + // CCTK_REAL eTyzL = INITVALUE; + // CCTK_REAL eTzzL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = INITVALUE; + // CCTK_REAL PDstandardNth11alpha = INITVALUE; + // CCTK_REAL PDstandardNth22alpha = INITVALUE; + // CCTK_REAL PDstandardNth33alpha = INITVALUE; + // CCTK_REAL PDstandardNth12alpha = INITVALUE; + // CCTK_REAL PDstandardNth13alpha = INITVALUE; + // CCTK_REAL PDstandardNth23alpha = INITVALUE; + // CCTK_REAL PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth11phi = INITVALUE; + // CCTK_REAL PDstandardNth22phi = INITVALUE; + // CCTK_REAL PDstandardNth33phi = INITVALUE; + // CCTK_REAL PDstandardNth12phi = INITVALUE; + // CCTK_REAL PDstandardNth13phi = INITVALUE; + // CCTK_REAL PDstandardNth23phi = INITVALUE; + // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const At11L = At11[index]; + CCTK_REAL const At12L = At12[index]; + CCTK_REAL const At13L = At13[index]; + CCTK_REAL const At22L = At22[index]; + CCTK_REAL const At23L = At23[index]; + CCTK_REAL const At33L = At33[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL const gt11L = gt11[index]; + CCTK_REAL const gt12L = gt12[index]; + CCTK_REAL const gt13L = gt13[index]; + CCTK_REAL const gt22L = gt22[index]; + CCTK_REAL const gt23L = gt23[index]; + CCTK_REAL const gt33L = gt33[index]; + CCTK_REAL const phiL = phi[index]; + CCTK_REAL const trKL = trK[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(beta1L); + + int const dir2 = Sign(beta2L); + + int const dir3 = Sign(beta3L); + + CCTK_REAL const detgt = 1; + + CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL const Gtl111 = khalf*PDstandardNth1gt11; + + CCTK_REAL const Gtl112 = khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl113 = khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; + + CCTK_REAL const Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; + + CCTK_REAL const Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; + + CCTK_REAL const Gtl212 = khalf*PDstandardNth1gt22; + + CCTK_REAL const Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12); + + CCTK_REAL const Gtl222 = khalf*PDstandardNth2gt22; + + CCTK_REAL const Gtl223 = khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; + + CCTK_REAL const Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; + + CCTK_REAL const Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12); + + CCTK_REAL const Gtl313 = khalf*PDstandardNth1gt33; + + CCTK_REAL const Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; + + CCTK_REAL const Gtl323 = khalf*PDstandardNth2gt33; + + CCTK_REAL const Gtl333 = khalf*PDstandardNth3gt33; + + CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + + CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + + CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + + CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + + CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + + CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + + CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + + CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + + CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + + CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + + CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + + CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + + CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + + CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + + CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + + CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + + CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + + CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + + CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + + CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + + CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + + CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + + CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + + CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + + CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + + CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + + CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + + CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + + CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + + CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + + CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + + CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + + CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + + CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + + CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + + CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + + CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + + Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + gt11L*PDstandardNth1Xt1 + + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3 + + khalf*(-(gtu11*PDstandardNth11gt11) - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - + gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + + Gtl112*Xtn2 + Gtl113*Xtn3; + + CCTK_REAL const Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + + Gt222*Gtlu122 + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + Gt323*Gtlu133 + + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + + Gt311*Gtlu321 + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - 2*gtu21*PDstandardNth12gt12 - + 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - + gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + Gtl212*Xtn2 + + Gtl123*Xtn3 + Gtl213*Xtn3); + + CCTK_REAL const Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + + Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + Gt113*Gtlu133 + Gt333*Gtlu133 + + Gt211*Gtlu231 + Gt212*Gtlu232 + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) - + gtu11*PDstandardNth11gt13 - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - + gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); + + CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + + 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + + gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - 2*gtu21*PDstandardNth12gt22 - + 2*gtu31*PDstandardNth13gt22 - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - gtu33*PDstandardNth33gt22 + ) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; + + CCTK_REAL const Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + + Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + Gt313*Gtlu231 + Gt222*Gtlu232 + + Gt323*Gtlu232 + Gt223*Gtlu233 + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) - + gtu11*PDstandardNth11gt23 - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); + + CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + + Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - 2*gtu31*PDstandardNth13gt33 - + gtu22*PDstandardNth22gt33 - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + gt13L*PDstandardNth3Xt1 + + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; + + CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL const 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 const 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 const 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 const 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 const 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 const 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 const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + CCTK_REAL const g11 = e4phi*gt11L; + + CCTK_REAL const g12 = e4phi*gt12L; + + CCTK_REAL const g13 = e4phi*gt13L; + + CCTK_REAL const g22 = e4phi*gt22L; + + CCTK_REAL const g23 = e4phi*gt23L; + + CCTK_REAL const g33 = e4phi*gt33L; + + CCTK_REAL const gu11 = em4phi*gtu11; + + CCTK_REAL const gu21 = em4phi*gtu21; + + CCTK_REAL const gu31 = em4phi*gtu31; + + CCTK_REAL const gu22 = em4phi*gtu22; + + CCTK_REAL const gu32 = em4phi*gtu32; + + CCTK_REAL const gu33 = em4phi*gtu33; + + CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + + CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + + CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + + CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + + CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + + CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + + CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + + CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + + CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + + CCTK_REAL const R11 = Rphi11 + Rt11; + + CCTK_REAL const R12 = Rphi12 + Rt12; + + CCTK_REAL const R13 = Rphi13 + Rt13; + + CCTK_REAL const R22 = Rphi22 + Rt22; + + CCTK_REAL const R23 = Rphi23 + Rt23; + + CCTK_REAL const R33 = Rphi33 + Rt33; + + CCTK_REAL const 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 const trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + eTyzL*gu32) + eTzzL*gu33; + + CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* + PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + + (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - + 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + + (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + + alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + + 0.3333333333333333333333333333333333333333*SQR(trKL)); + + CCTK_REAL const Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + + alphaL*R11; + + CCTK_REAL const Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + + alphaL*R12; + + CCTK_REAL const Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + + alphaL*R13; + + CCTK_REAL const Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + + alphaL*R22; + + CCTK_REAL const Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + + alphaL*R23; + + CCTK_REAL const Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + + alphaL*R33; + + CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL const At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + + PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + 8.377580409572781969233715688745341024526*g11*trS)); + + CCTK_REAL const At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + + PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + + At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL const At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + + PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + + At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL const At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + + PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + 8.377580409572781969233715688745341024526*g22*trS)); + + CCTK_REAL const At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + + PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + + At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL const At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + + PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + + em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + 8.377580409572781969233715688745341024526*g33*trS)); + + CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + + PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + + harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + + + /* 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; + trKrhs[index] = trKrhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_RHS2); +} + +void ML_BSSN_O2_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS2_Body); +} |