diff options
| author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-02-19 15:29:33 -0800 |
|---|---|---|
| committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-02-19 15:29:33 -0800 |
| commit | 85da7a8dd591e17744d825be7f27104daf5e004f (patch) | |
| tree | dff0ef84cc091643da19b1efabdae83927445375 | |
| parent | fa724eab3321b1f0414ecc970e1831f0afecc294 (diff) | |
Add second order accurate versions of all thorns
67 files changed, 13375 insertions, 0 deletions
diff --git a/ML_ADMConstraints_O2/configuration.ccl b/ML_ADMConstraints_O2/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMConstraints_O2/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMConstraints_O2/interface.ccl b/ML_ADMConstraints_O2/interface.ccl new file mode 100644 index 0000000..1631077 --- /dev/null +++ b/ML_ADMConstraints_O2/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMConstraints_O2 + +inherits: ADMBase TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Ham type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" diff --git a/ML_ADMConstraints_O2/param.ccl b/ML_ADMConstraints_O2/param.ccl new file mode 100644 index 0000000..5286c3c --- /dev/null +++ b/ML_ADMConstraints_O2/param.ccl @@ -0,0 +1,64 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_O2_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_O2_calc_every "ML_ADMConstraints_O2_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_O2_boundary_calc_every "ML_ADMConstraints_O2_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMConstraints_O2_calc_offset "ML_ADMConstraints_O2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMConstraints_O2_boundary_calc_offset "ML_ADMConstraints_O2_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMConstraints_O2/schedule.ccl b/ML_ADMConstraints_O2/schedule.ccl new file mode 100644 index 0000000..907dc6d --- /dev/null +++ b/ML_ADMConstraints_O2/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Ham[3] + +STORAGE: ML_mom[3] + +schedule ML_ADMConstraints_O2_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMConstraints_O2_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMConstraints_O2_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMConstraints_O2 IN MoL_PseudoEvolution +{ + LANG: C + SYNC: ML_Ham + SYNC: ML_mom +} "ML_ADMConstraints_O2" + +schedule ML_ADMConstraints_O2_boundary IN MoL_PseudoEvolution AFTER ML_ADMConstraints_O2 +{ + LANG: C +} "ML_ADMConstraints_O2_boundary" + +schedule ML_ADMConstraints_O2_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMConstraints_O2_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMConstraints_O2_ApplyBCs in MoL_PostStep after ML_ADMConstraints_O2_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMConstraints_O2/src/Boundaries.c b/ML_ADMConstraints_O2/src/Boundaries.c new file mode 100644 index 0000000..b500240 --- /dev/null +++ b/ML_ADMConstraints_O2/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMConstraints_O2_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMConstraints_O2_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMConstraints_O2/src/Differencing.h b/ML_ADMConstraints_O2/src/Differencing.h new file mode 100644 index 0000000..ba07758 --- /dev/null +++ b/ML_ADMConstraints_O2/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDupwindNth1(u,i,j,k) (pm1o2dx*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(2*dir1)+dj*(0)+dk*(0)] - 4*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (pm1o2dy*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(2*dir2)+dk*(0)] - 4*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (pm1o2dz*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(2*dir3)] - 4*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2.c b/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2.c new file mode 100644 index 0000000..2a96683 --- /dev/null +++ b/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2.c @@ -0,0 +1,484 @@ +/* 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_ADMConstraints_O2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* 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_ADMConstraints_O2_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_O2_calc_every != ML_ADMConstraints_O2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMConstraints_O2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int 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 detg = INITVALUE; + // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE; + // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE; + // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE; + // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE; + // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; + // CCTK_REAL rho = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL trK = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = 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 gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gxx = INITVALUE; + // CCTK_REAL PDstandardNth2gxx = INITVALUE; + // CCTK_REAL PDstandardNth3gxx = INITVALUE; + // CCTK_REAL PDstandardNth22gxx = INITVALUE; + // CCTK_REAL PDstandardNth33gxx = INITVALUE; + // CCTK_REAL PDstandardNth23gxx = INITVALUE; + // CCTK_REAL PDstandardNth1gxy = INITVALUE; + // CCTK_REAL PDstandardNth2gxy = INITVALUE; + // CCTK_REAL PDstandardNth3gxy = INITVALUE; + // CCTK_REAL PDstandardNth33gxy = INITVALUE; + // CCTK_REAL PDstandardNth12gxy = INITVALUE; + // CCTK_REAL PDstandardNth13gxy = INITVALUE; + // CCTK_REAL PDstandardNth23gxy = INITVALUE; + // CCTK_REAL PDstandardNth1gxz = INITVALUE; + // CCTK_REAL PDstandardNth2gxz = INITVALUE; + // CCTK_REAL PDstandardNth3gxz = INITVALUE; + // CCTK_REAL PDstandardNth22gxz = INITVALUE; + // CCTK_REAL PDstandardNth12gxz = INITVALUE; + // CCTK_REAL PDstandardNth13gxz = INITVALUE; + // CCTK_REAL PDstandardNth23gxz = INITVALUE; + // CCTK_REAL PDstandardNth1gyy = INITVALUE; + // CCTK_REAL PDstandardNth2gyy = INITVALUE; + // CCTK_REAL PDstandardNth3gyy = INITVALUE; + // CCTK_REAL PDstandardNth11gyy = INITVALUE; + // CCTK_REAL PDstandardNth33gyy = INITVALUE; + // CCTK_REAL PDstandardNth13gyy = INITVALUE; + // CCTK_REAL PDstandardNth1gyz = INITVALUE; + // CCTK_REAL PDstandardNth2gyz = INITVALUE; + // CCTK_REAL PDstandardNth3gyz = INITVALUE; + // CCTK_REAL PDstandardNth11gyz = INITVALUE; + // CCTK_REAL PDstandardNth12gyz = INITVALUE; + // CCTK_REAL PDstandardNth13gyz = INITVALUE; + // CCTK_REAL PDstandardNth23gyz = INITVALUE; + // CCTK_REAL PDstandardNth1gzz = INITVALUE; + // CCTK_REAL PDstandardNth2gzz = INITVALUE; + // CCTK_REAL PDstandardNth3gzz = INITVALUE; + // CCTK_REAL PDstandardNth11gzz = INITVALUE; + // CCTK_REAL PDstandardNth22gzz = INITVALUE; + // CCTK_REAL PDstandardNth12gzz = INITVALUE; + // CCTK_REAL PDstandardNth2kxx = INITVALUE; + // CCTK_REAL PDstandardNth3kxx = INITVALUE; + // CCTK_REAL PDstandardNth1kxy = INITVALUE; + // CCTK_REAL PDstandardNth2kxy = INITVALUE; + // CCTK_REAL PDstandardNth3kxy = INITVALUE; + // CCTK_REAL PDstandardNth1kxz = INITVALUE; + // CCTK_REAL PDstandardNth2kxz = INITVALUE; + // CCTK_REAL PDstandardNth3kxz = INITVALUE; + // CCTK_REAL PDstandardNth1kyy = INITVALUE; + // CCTK_REAL PDstandardNth3kyy = INITVALUE; + // CCTK_REAL PDstandardNth1kyz = INITVALUE; + // CCTK_REAL PDstandardNth2kyz = INITVALUE; + // CCTK_REAL PDstandardNth3kyz = INITVALUE; + // CCTK_REAL PDstandardNth1kzz = INITVALUE; + // CCTK_REAL PDstandardNth2kzz = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[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 gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k); + CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k); + CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k); + CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(gxx, i, j, k); + CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(gxx, i, j, k); + CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(gxx, i, j, k); + CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(gxy, i, j, k); + CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(gxy, i, j, k); + CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(gxy, i, j, k); + CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(gxy, i, j, k); + CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(gxy, i, j, k); + CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(gxy, i, j, k); + CCTK_REAL const PDstandardNth23gxy = PDstandardNth23(gxy, i, j, k); + CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(gxz, i, j, k); + CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(gxz, i, j, k); + CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(gxz, i, j, k); + CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(gxz, i, j, k); + CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(gxz, i, j, k); + CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(gxz, i, j, k); + CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(gxz, i, j, k); + CCTK_REAL const PDstandardNth1gyy = PDstandardNth1(gyy, i, j, k); + CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(gyy, i, j, k); + CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(gyy, i, j, k); + CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(gyy, i, j, k); + CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(gyy, i, j, k); + CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(gyy, i, j, k); + CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(gyz, i, j, k); + CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(gyz, i, j, k); + CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(gyz, i, j, k); + CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(gyz, i, j, k); + CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(gyz, i, j, k); + CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(gyz, i, j, k); + CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(gyz, i, j, k); + CCTK_REAL const PDstandardNth1gzz = PDstandardNth1(gzz, i, j, k); + CCTK_REAL const PDstandardNth2gzz = PDstandardNth2(gzz, i, j, k); + CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(gzz, i, j, k); + CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(gzz, i, j, k); + CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(gzz, i, j, k); + CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(gzz, i, j, k); + CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(kxx, i, j, k); + CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(kxx, i, j, k); + CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(kxy, i, j, k); + CCTK_REAL const PDstandardNth2kxy = PDstandardNth2(kxy, i, j, k); + CCTK_REAL const PDstandardNth3kxy = PDstandardNth3(kxy, i, j, k); + CCTK_REAL const PDstandardNth1kxz = PDstandardNth1(kxz, i, j, k); + CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(kxz, i, j, k); + CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(kxz, i, j, k); + CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(kyy, i, j, k); + CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(kyy, i, j, k); + CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(kyz, i, j, k); + CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(kyz, i, j, k); + CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(kyz, i, j, k); + CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k); + CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL); + + CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL)); + + CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg); + + CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL)); + + CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL)); + + CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1gxx + 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) - gu21*PDstandardNth2gxx - + gu31*PDstandardNth3gxx); + + CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1gxx + 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) - gu22*PDstandardNth2gxx - + gu32*PDstandardNth3gxx); + + CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1gxx + 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) - gu32*PDstandardNth2gxx - + gu33*PDstandardNth3gxx); + + CCTK_REAL const G112 = khalf*(gu21*PDstandardNth1gyy + gu11*PDstandardNth2gxx + + gu31*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1gyy + gu21*PDstandardNth2gxx + + gu32*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1gyy + gu31*PDstandardNth2gxx + + gu33*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy)); + + CCTK_REAL const G113 = khalf*(gu31*PDstandardNth1gzz + gu11*PDstandardNth3gxx + + gu21*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G213 = khalf*(gu32*PDstandardNth1gzz + gu21*PDstandardNth3gxx + + gu22*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1gzz + gu31*PDstandardNth3gxx + + gu32*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy)); + + CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu21*PDstandardNth2gyy + + gu31*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu22*PDstandardNth2gyy + + gu32*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu32*PDstandardNth2gyy + + gu33*(2*PDstandardNth2gyz - PDstandardNth3gyy)); + + CCTK_REAL const G123 = khalf*(gu31*PDstandardNth2gzz + gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu21*PDstandardNth3gyy); + + CCTK_REAL const G223 = khalf*(gu32*PDstandardNth2gzz + gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu22*PDstandardNth3gyy); + + CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2gzz + gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) + + gu32*PDstandardNth3gyy); + + CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1gzz) - gu21*PDstandardNth2gzz + 2*gu11*PDstandardNth3gxz + + 2*gu21*PDstandardNth3gyz + gu31*PDstandardNth3gzz); + + CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1gzz) - gu22*PDstandardNth2gzz + 2*gu21*PDstandardNth3gxz + + 2*gu22*PDstandardNth3gyz + gu32*PDstandardNth3gzz); + + CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1gzz) - gu32*PDstandardNth2gzz + 2*gu31*PDstandardNth3gxz + + 2*gu32*PDstandardNth3gyz + gu33*PDstandardNth3gzz); + + CCTK_REAL const R11 = khalf*(-(gu22*PDstandardNth11gyy) - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 + + gu32*PDstandardNth11gyz) - gu33*PDstandardNth11gzz + 2*gu22*PDstandardNth12gxy + 2*gu32*PDstandardNth12gxz + + 2*gu32*PDstandardNth13gxy + 2*gu33*PDstandardNth13gxz - gu22*PDstandardNth22gxx - 2*gu32*PDstandardNth23gxx - + gu33*PDstandardNth33gxx + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313)); + + CCTK_REAL const R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12gxy) - + gu32*PDstandardNth12gyz - gu33*PDstandardNth12gzz + + gu31*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy) + gu32*PDstandardNth13gyy + + gu33*PDstandardNth13gyz + gu21*(PDstandardNth11gyy + PDstandardNth22gxx) + gu32*PDstandardNth22gxz + + gu31*PDstandardNth23gxx - gu32*PDstandardNth23gxy + gu33*PDstandardNth23gxz - gu33*PDstandardNth33gxy); + + CCTK_REAL const R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13gxz) + + gu21*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy + PDstandardNth23gxx) + + gu22*(PDstandardNth12gyz - PDstandardNth13gyy - PDstandardNth22gxz + PDstandardNth23gxy) + + gu31*(PDstandardNth11gzz + PDstandardNth33gxx) + + gu32*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy)); + + CCTK_REAL const R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) + G322*(G311 + G333) + gu31*PDstandardNth13gyy) + + gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy - PDstandardNth22gxx) + + gu31*(-2*PDstandardNth22gxz + 2*(PDstandardNth12gyz + PDstandardNth23gxy)) + + gu33*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(SQR(G112) + SQR(G123) + SQR(G212) + SQR(G223) + SQR(G312) + SQR(G323))); + + CCTK_REAL const R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) + + gu11*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy - PDstandardNth23gxx) + + gu21*(-PDstandardNth12gyz + PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) - + 2*(G111*G123 + G211*G223 + G311*G323 + gu32*PDstandardNth23gyz) + + gu31*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy) + + gu32*(PDstandardNth22gzz + PDstandardNth33gyy)); + + CCTK_REAL const R33 = khalf*(gu11*(-PDstandardNth11gzz + 2*PDstandardNth13gxz - PDstandardNth33gxx) - + 2*((G111 + G122)*G133 + (G211 + G222)*G233 + (G311 + G322)*G333 + + gu21*(PDstandardNth12gzz + PDstandardNth33gxy)) + + gu22*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) + + 2*(gu21*(PDstandardNth13gyz + PDstandardNth23gxz) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) + SQR(G313) + + SQR(G323))); + + CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL; + + CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL; + + CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL; + + CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL; + + CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL; + + CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL; + + CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL; + + CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL; + + CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL; + + CCTK_REAL const trK = Km11 + Km22 + Km33; + + CCTK_REAL const rho = pow(alpL,-2)*(eTttL - 2*(betayL*eTtyL + betazL*eTtzL) + + 2*(betaxL*(-eTtxL + betayL*eTxyL + betazL*eTxzL) + betayL*betazL*eTyzL) + eTxxL*SQR(betaxL) + eTyyL*SQR(betayL) + + eTzzL*SQR(betazL)); + + CCTK_REAL const S1 = (-eTtxL + betaxL*eTxxL + betayL*eTxyL + betazL*eTxzL)*INV(alpL); + + CCTK_REAL const S2 = (-eTtyL + betaxL*eTxyL + betayL*eTyyL + betazL*eTyzL)*INV(alpL); + + CCTK_REAL const S3 = (-eTtzL + betaxL*eTxzL + betayL*eTyzL + betazL*eTzzL)*INV(alpL); + + CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) - + SQR(Km22) - SQR(Km33) + SQR(trK); + + CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL - PDstandardNth1kxy + + PDstandardNth2kxx) + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL - + PDstandardNth1kyy + PDstandardNth2kxy) + gu31* + (-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL - PDstandardNth1kxz + PDstandardNth3kxx)\ + + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL - + 2*(G123*kxxL + G223*kxyL + G323*kxzL + PDstandardNth1kyz) + PDstandardNth2kxz + PDstandardNth3kxy) + + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL - PDstandardNth1kzz + + PDstandardNth3kxz) - 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL + PDstandardNth1kxy - + PDstandardNth2kxx) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL + + PDstandardNth1kyy - PDstandardNth2kxy) + gu31* + (G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + PDstandardNth1kyz - + 2*(G213*kyyL + G313*kyzL + PDstandardNth2kxz) + PDstandardNth3kxy) + + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL - PDstandardNth2kyz + + PDstandardNth3kyy) + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL - + PDstandardNth2kzz + PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL + PDstandardNth1kxz - + PDstandardNth3kxx) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL + + (-2*G212 + G313)*kyzL + PDstandardNth1kyz + PDstandardNth2kxz - 2*(G312*kzzL + PDstandardNth3kxy)) + + gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL + PDstandardNth1kzz - + PDstandardNth3kxz) + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL + + PDstandardNth2kyz - PDstandardNth3kyy) + gu32* + (G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL + PDstandardNth2kzz - PDstandardNth3kyz) - + 25.13274122871834590770114706623602307358*S3; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_O2); +} + +void ML_ADMConstraints_O2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMConstraints_O2_Body); +} diff --git a/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2_boundary.c b/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2_boundary.c new file mode 100644 index 0000000..7c24428 --- /dev/null +++ b/ML_ADMConstraints_O2/src/ML_ADMConstraints_O2_boundary.c @@ -0,0 +1,153 @@ +/* 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_ADMConstraints_O2_boundary_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_ADMConstraints_O2_boundary_Body"); + } + + if (cctk_iteration % ML_ADMConstraints_O2_boundary_calc_every != ML_ADMConstraints_O2_boundary_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_ADMConstraints_O2_boundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMConstraints_O2_boundary); +} + +void ML_ADMConstraints_O2_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMConstraints_O2_boundary_Body); +} diff --git a/ML_ADMConstraints_O2/src/RegisterMoL.c b/ML_ADMConstraints_O2/src/RegisterMoL.c new file mode 100644 index 0000000..c000644 --- /dev/null +++ b/ML_ADMConstraints_O2/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMConstraints_O2_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMConstraints_O2/src/RegisterSymmetries.c b/ML_ADMConstraints_O2/src/RegisterSymmetries.c new file mode 100644 index 0000000..55a5991 --- /dev/null +++ b/ML_ADMConstraints_O2/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMConstraints_O2_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_O2::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_O2::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_O2::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMConstraints_O2::M3"); + +} diff --git a/ML_ADMConstraints_O2/src/Startup.c b/ML_ADMConstraints_O2/src/Startup.c new file mode 100644 index 0000000..8b9aebd --- /dev/null +++ b/ML_ADMConstraints_O2/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMConstraints_O2_Startup(void) +{ + const char * banner = "ML_ADMConstraints_O2"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMConstraints_O2/src/make.code.defn b/ML_ADMConstraints_O2/src/make.code.defn new file mode 100644 index 0000000..fa8065a --- /dev/null +++ b/ML_ADMConstraints_O2/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMConstraints_O2.c ML_ADMConstraints_O2_boundary.c Boundaries.c diff --git a/ML_ADMQuantities_O2/configuration.ccl b/ML_ADMQuantities_O2/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_ADMQuantities_O2/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_ADMQuantities_O2/interface.ccl b/ML_ADMQuantities_O2/interface.ccl new file mode 100644 index 0000000..f87218f --- /dev/null +++ b/ML_ADMQuantities_O2/interface.ccl @@ -0,0 +1,39 @@ +# File produced by Kranc + +implements: ML_ADMQuantities_O2 + +inherits: ADMBase ML_BSSN_O2 TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_Jadm type=GF timelevels=3 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + Jadm1, + Jadm2, + Jadm3 +} "ML_Jadm" + +public: +CCTK_REAL ML_Madm type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + Madm +} "ML_Madm" diff --git a/ML_ADMQuantities_O2/param.ccl b/ML_ADMQuantities_O2/param.ccl new file mode 100644 index 0000000..144e5e6 --- /dev/null +++ b/ML_ADMQuantities_O2/param.ccl @@ -0,0 +1,70 @@ +# File produced by Kranc + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT conformalMethod "Treatment of conformal factor" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMQuantities_O2_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 0:0 :: "Number of evolved variables used by this thorn" +} 0 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:3 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:3 :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_O2_calc_every "ML_ADMQuantities_O2_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_O2_boundary_calc_every "ML_ADMQuantities_O2_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_ADMQuantities_O2_calc_offset "ML_ADMQuantities_O2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_ADMQuantities_O2_boundary_calc_offset "ML_ADMQuantities_O2_boundary_calc_offset" +{ + *:* :: "" +} 0 + diff --git a/ML_ADMQuantities_O2/schedule.ccl b/ML_ADMQuantities_O2/schedule.ccl new file mode 100644 index 0000000..72c9cc8 --- /dev/null +++ b/ML_ADMQuantities_O2/schedule.ccl @@ -0,0 +1,53 @@ +# File produced by Kranc + + +STORAGE: ML_Jadm[3] + +STORAGE: ML_Madm[3] + +schedule ML_ADMQuantities_O2_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_ADMQuantities_O2_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_ADMQuantities_O2_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + +schedule ML_ADMQuantities_O2 IN MoL_PseudoEvolution +{ + LANG: C + SYNC: ML_Jadm + SYNC: ML_Madm +} "ML_ADMQuantities_O2" + +schedule ML_ADMQuantities_O2_boundary IN MoL_PseudoEvolution AFTER ML_ADMQuantities_O2 +{ + LANG: C +} "ML_ADMQuantities_O2_boundary" + +schedule ML_ADMQuantities_O2_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level +} "select boundary conditions" + +schedule ML_ADMQuantities_O2_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_ADMQuantities_O2_ApplyBCs in MoL_PostStep after ML_ADMQuantities_O2_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_ADMQuantities_O2/src/Boundaries.c b/ML_ADMQuantities_O2/src/Boundaries.c new file mode 100644 index 0000000..45d2160 --- /dev/null +++ b/ML_ADMQuantities_O2/src/Boundaries.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_ADMQuantities_O2_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_ADMQuantities_O2_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + return; +} + + + +/* template for entries in parameter file: +*/ + diff --git a/ML_ADMQuantities_O2/src/Differencing.h b/ML_ADMQuantities_O2/src/Differencing.h new file mode 100644 index 0000000..ba07758 --- /dev/null +++ b/ML_ADMQuantities_O2/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDupwindNth1(u,i,j,k) (pm1o2dx*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(2*dir1)+dj*(0)+dk*(0)] - 4*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (pm1o2dy*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(2*dir2)+dk*(0)] - 4*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (pm1o2dz*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(2*dir3)] - 4*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.c b/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.c new file mode 100644 index 0000000..7311cab --- /dev/null +++ b/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2.c @@ -0,0 +1,682 @@ +/* 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_ADMQuantities_O2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* 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_ADMQuantities_O2_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_O2_calc_every != ML_ADMQuantities_O2_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities_O2, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int 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 detgt = INITVALUE; + // CCTK_REAL dgtu111 = INITVALUE, dgtu112 = INITVALUE, dgtu113 = INITVALUE, dgtu211 = INITVALUE, dgtu212 = INITVALUE, dgtu213 = INITVALUE; + // CCTK_REAL dgtu221 = INITVALUE, dgtu222 = INITVALUE, dgtu223 = INITVALUE, dgtu311 = INITVALUE, dgtu312 = INITVALUE, dgtu313 = INITVALUE; + // CCTK_REAL dgtu321 = INITVALUE, dgtu322 = INITVALUE, dgtu323 = INITVALUE, dgtu331 = INITVALUE, dgtu332 = INITVALUE, dgtu333 = INITVALUE; + // CCTK_REAL ephi = 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 rho = INITVALUE; + // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL trRt = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = 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 Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL xL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + // CCTK_REAL yL = INITVALUE; + // CCTK_REAL zL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // 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 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 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 xL = x[index]; + CCTK_REAL const Xt1L = Xt1[index]; + CCTK_REAL const Xt2L = Xt2[index]; + CCTK_REAL const Xt3L = Xt3[index]; + CCTK_REAL const yL = y[index]; + CCTK_REAL const zL = z[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + 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 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); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + 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 dgtu111 = -2*(gtu11*gtu21*PDstandardNth1gt12 + gtu11*gtu31*PDstandardNth1gt13 + gtu21*gtu31*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu11) - PDstandardNth1gt22*SQR(gtu21) - PDstandardNth1gt33*SQR(gtu31); + + CCTK_REAL const dgtu211 = -(gtu11*gtu21*PDstandardNth1gt11) - gtu11*gtu22*PDstandardNth1gt12 - gtu21*gtu31*PDstandardNth1gt13 - + gtu11*gtu32*PDstandardNth1gt13 - gtu21*gtu22*PDstandardNth1gt22 - gtu22*gtu31*PDstandardNth1gt23 - + gtu21*gtu32*PDstandardNth1gt23 - gtu31*gtu32*PDstandardNth1gt33 - PDstandardNth1gt12*SQR(gtu21); + + CCTK_REAL const dgtu311 = -(gtu11*gtu31*PDstandardNth1gt11) - gtu21*gtu31*PDstandardNth1gt12 - gtu11*gtu32*PDstandardNth1gt12 - + gtu11*gtu33*PDstandardNth1gt13 - gtu21*gtu32*PDstandardNth1gt22 - gtu31*gtu32*PDstandardNth1gt23 - + gtu21*gtu33*PDstandardNth1gt23 - gtu31*gtu33*PDstandardNth1gt33 - PDstandardNth1gt13*SQR(gtu31); + + CCTK_REAL const dgtu221 = -2*(gtu21*gtu22*PDstandardNth1gt12 + gtu21*gtu32*PDstandardNth1gt13 + gtu22*gtu32*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu21) - PDstandardNth1gt22*SQR(gtu22) - PDstandardNth1gt33*SQR(gtu32); + + CCTK_REAL const dgtu321 = -(gtu21*gtu31*PDstandardNth1gt11) - gtu22*gtu31*PDstandardNth1gt12 - gtu21*gtu32*PDstandardNth1gt12 - + gtu31*gtu32*PDstandardNth1gt13 - gtu21*gtu33*PDstandardNth1gt13 - gtu22*gtu32*PDstandardNth1gt22 - + gtu22*gtu33*PDstandardNth1gt23 - gtu32*gtu33*PDstandardNth1gt33 - PDstandardNth1gt23*SQR(gtu32); + + CCTK_REAL const dgtu331 = -2*(gtu31*gtu32*PDstandardNth1gt12 + gtu31*gtu33*PDstandardNth1gt13 + gtu32*gtu33*PDstandardNth1gt23) - + PDstandardNth1gt11*SQR(gtu31) - PDstandardNth1gt22*SQR(gtu32) - PDstandardNth1gt33*SQR(gtu33); + + CCTK_REAL const dgtu112 = -2*(gtu11*gtu21*PDstandardNth2gt12 + gtu11*gtu31*PDstandardNth2gt13 + gtu21*gtu31*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu11) - PDstandardNth2gt22*SQR(gtu21) - PDstandardNth2gt33*SQR(gtu31); + + CCTK_REAL const dgtu212 = -(gtu11*gtu21*PDstandardNth2gt11) - gtu11*gtu22*PDstandardNth2gt12 - gtu21*gtu31*PDstandardNth2gt13 - + gtu11*gtu32*PDstandardNth2gt13 - gtu21*gtu22*PDstandardNth2gt22 - gtu22*gtu31*PDstandardNth2gt23 - + gtu21*gtu32*PDstandardNth2gt23 - gtu31*gtu32*PDstandardNth2gt33 - PDstandardNth2gt12*SQR(gtu21); + + CCTK_REAL const dgtu312 = -(gtu11*gtu31*PDstandardNth2gt11) - gtu21*gtu31*PDstandardNth2gt12 - gtu11*gtu32*PDstandardNth2gt12 - + gtu11*gtu33*PDstandardNth2gt13 - gtu21*gtu32*PDstandardNth2gt22 - gtu31*gtu32*PDstandardNth2gt23 - + gtu21*gtu33*PDstandardNth2gt23 - gtu31*gtu33*PDstandardNth2gt33 - PDstandardNth2gt13*SQR(gtu31); + + CCTK_REAL const dgtu222 = -2*(gtu21*gtu22*PDstandardNth2gt12 + gtu21*gtu32*PDstandardNth2gt13 + gtu22*gtu32*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu21) - PDstandardNth2gt22*SQR(gtu22) - PDstandardNth2gt33*SQR(gtu32); + + CCTK_REAL const dgtu322 = -(gtu21*gtu31*PDstandardNth2gt11) - gtu22*gtu31*PDstandardNth2gt12 - gtu21*gtu32*PDstandardNth2gt12 - + gtu31*gtu32*PDstandardNth2gt13 - gtu21*gtu33*PDstandardNth2gt13 - gtu22*gtu32*PDstandardNth2gt22 - + gtu22*gtu33*PDstandardNth2gt23 - gtu32*gtu33*PDstandardNth2gt33 - PDstandardNth2gt23*SQR(gtu32); + + CCTK_REAL const dgtu332 = -2*(gtu31*gtu32*PDstandardNth2gt12 + gtu31*gtu33*PDstandardNth2gt13 + gtu32*gtu33*PDstandardNth2gt23) - + PDstandardNth2gt11*SQR(gtu31) - PDstandardNth2gt22*SQR(gtu32) - PDstandardNth2gt33*SQR(gtu33); + + CCTK_REAL const dgtu113 = -2*(gtu11*gtu21*PDstandardNth3gt12 + gtu11*gtu31*PDstandardNth3gt13 + gtu21*gtu31*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu11) - PDstandardNth3gt22*SQR(gtu21) - PDstandardNth3gt33*SQR(gtu31); + + CCTK_REAL const dgtu213 = -(gtu11*gtu21*PDstandardNth3gt11) - gtu11*gtu22*PDstandardNth3gt12 - gtu21*gtu31*PDstandardNth3gt13 - + gtu11*gtu32*PDstandardNth3gt13 - gtu21*gtu22*PDstandardNth3gt22 - gtu22*gtu31*PDstandardNth3gt23 - + gtu21*gtu32*PDstandardNth3gt23 - gtu31*gtu32*PDstandardNth3gt33 - PDstandardNth3gt12*SQR(gtu21); + + CCTK_REAL const dgtu313 = -(gtu11*gtu31*PDstandardNth3gt11) - gtu21*gtu31*PDstandardNth3gt12 - gtu11*gtu32*PDstandardNth3gt12 - + gtu11*gtu33*PDstandardNth3gt13 - gtu21*gtu32*PDstandardNth3gt22 - gtu31*gtu32*PDstandardNth3gt23 - + gtu21*gtu33*PDstandardNth3gt23 - gtu31*gtu33*PDstandardNth3gt33 - PDstandardNth3gt13*SQR(gtu31); + + CCTK_REAL const dgtu223 = -2*(gtu21*gtu22*PDstandardNth3gt12 + gtu21*gtu32*PDstandardNth3gt13 + gtu22*gtu32*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu21) - PDstandardNth3gt22*SQR(gtu22) - PDstandardNth3gt33*SQR(gtu32); + + CCTK_REAL const dgtu323 = -(gtu21*gtu31*PDstandardNth3gt11) - gtu22*gtu31*PDstandardNth3gt12 - gtu21*gtu32*PDstandardNth3gt12 - + gtu31*gtu32*PDstandardNth3gt13 - gtu21*gtu33*PDstandardNth3gt13 - gtu22*gtu32*PDstandardNth3gt22 - + gtu22*gtu33*PDstandardNth3gt23 - gtu32*gtu33*PDstandardNth3gt33 - PDstandardNth3gt23*SQR(gtu32); + + CCTK_REAL const dgtu333 = -2*(gtu31*gtu32*PDstandardNth3gt12 + gtu31*gtu33*PDstandardNth3gt13 + gtu32*gtu33*PDstandardNth3gt23) - + PDstandardNth3gt11*SQR(gtu31) - PDstandardNth3gt22*SQR(gtu32) - PDstandardNth3gt33*SQR(gtu33); + + 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 trRt = gtu11*Rt11 + gtu22*Rt22 + 2*(gtu21*Rt12 + gtu31*Rt13 + gtu32*Rt23) + gtu33*Rt33; + + CCTK_REAL const ephi = IfThen(conformalMethod,pow(phiL,-khalf),exp(phiL)); + + 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 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL const MadmL = 0.01989436788648691697111047042156429525431* + (-((Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113 + Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + + Gt312*Gtlu132 + Gt313*Gtlu133)*gtu11) - + (Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt212*Gtlu121 + Gt222*Gtlu122 + Gt223*Gtlu123 + Gt312*Gtlu131 + + Gt322*Gtlu132 + Gt323*Gtlu133)*gtu21 - (Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt211*Gtlu221 + + Gt212*Gtlu222 + Gt213*Gtlu223 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233)*gtu21 - + (Gt112*Gtlu211 + Gt122*Gtlu212 + Gt123*Gtlu213 + Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223 + Gt312*Gtlu231 + + Gt322*Gtlu232 + Gt323*Gtlu233)*gtu22 - (Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + + Gt223*Gtlu122 + Gt233*Gtlu123 + Gt313*Gtlu131 + Gt323*Gtlu132 + Gt333*Gtlu133)*gtu31 - + (Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323 + Gt311*Gtlu331 + + Gt312*Gtlu332 + Gt313*Gtlu333)*gtu31 - (Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + Gt213*Gtlu221 + + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt313*Gtlu231 + Gt323*Gtlu232 + Gt333*Gtlu233)*gtu32 - + (Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323 + Gt312*Gtlu331 + + Gt322*Gtlu332 + Gt323*Gtlu333)*gtu32 - (Gt113*Gtlu311 + Gt123*Gtlu312 + Gt133*Gtlu313 + Gt213*Gtlu321 + + Gt223*Gtlu322 + Gt233*Gtlu323 + Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333)*gtu33 + trRt - ephi*trRt + + pow(ephi,5)*(2*Atm12*Atm21 + 2.*Atm13*Atm31 + 2.*Atm23*Atm32 + 50.26548245743669181540229413247204614715*rho + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) - 0.6666666666666666666666666666666666666667*SQR(trKL))); + + CCTK_REAL const Jadm1L = 0.01989436788648691697111047042156429525431* + (2*Atm23 - 2*Atm32 + (-(At11L*dgtu113) - 2*At12L*dgtu213 - At22L*dgtu223 - 2*At13L*dgtu313 - 2*At23L*dgtu323 - + At33L*dgtu333 + kfourthird*PDstandardNth3trK + 50.26548245743669181540229413247204614715*S3)*yL + + (At11L*dgtu112 + At22L*dgtu222 + 2*(At12L*dgtu212 + At13L*dgtu312 + At23L*dgtu322) + At33L*dgtu332 - + kfourthird*PDstandardNth2trK - 50.26548245743669181540229413247204614715*S2)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm2L = 0.01989436788648691697111047042156429525431* + (-2*Atm13 + 2*Atm31 + (At11L*dgtu113 + At22L*dgtu223 + 2*(At12L*dgtu213 + At13L*dgtu313 + At23L*dgtu323) + + At33L*dgtu333 - kfourthird*PDstandardNth3trK - 50.26548245743669181540229413247204614715*S3)*xL + + (-(At11L*dgtu111) - 2*At12L*dgtu211 - At22L*dgtu221 - 2*At13L*dgtu311 - 2*At23L*dgtu321 - At33L*dgtu331 + + kfourthird*PDstandardNth1trK + 50.26548245743669181540229413247204614715*S1)*zL)*pow(ephi,6); + + CCTK_REAL const Jadm3L = 0.01989436788648691697111047042156429525431* + (2*Atm12 - 2*Atm21 + (-(At11L*dgtu112) - 2*At12L*dgtu212 - At22L*dgtu222 - 2*At13L*dgtu312 - 2*At23L*dgtu322 - + At33L*dgtu332 + kfourthird*PDstandardNth2trK + 50.26548245743669181540229413247204614715*S2)*xL + + (At11L*dgtu111 + At22L*dgtu221 + 2*(At12L*dgtu211 + At13L*dgtu311 + At23L*dgtu321) + At33L*dgtu331 - + kfourthird*PDstandardNth1trK - 50.26548245743669181540229413247204614715*S1)*yL)*pow(ephi,6); + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities_O2); +} + +void ML_ADMQuantities_O2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_ADMQuantities_O2_Body); +} diff --git a/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2_boundary.c b/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2_boundary.c new file mode 100644 index 0000000..b27b78e --- /dev/null +++ b/ML_ADMQuantities_O2/src/ML_ADMQuantities_O2_boundary.c @@ -0,0 +1,153 @@ +/* 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_ADMQuantities_O2_boundary_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_ADMQuantities_O2_boundary_Body"); + } + + if (cctk_iteration % ML_ADMQuantities_O2_boundary_calc_every != ML_ADMQuantities_O2_boundary_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_ADMQuantities_O2_boundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL Jadm1L = INITVALUE, Jadm2L = INITVALUE, Jadm3L = INITVALUE; + // CCTK_REAL MadmL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const MadmL = 0; + + CCTK_REAL const Jadm1L = 0; + + CCTK_REAL const Jadm2L = 0; + + CCTK_REAL const Jadm3L = 0; + + + /* Copy local copies back to grid functions */ + Jadm1[index] = Jadm1L; + Jadm2[index] = Jadm2L; + Jadm3[index] = Jadm3L; + Madm[index] = MadmL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_ADMQuantities_O2_boundary); +} + +void ML_ADMQuantities_O2_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_ADMQuantities_O2_boundary_Body); +} diff --git a/ML_ADMQuantities_O2/src/RegisterMoL.c b/ML_ADMQuantities_O2/src/RegisterMoL.c new file mode 100644 index 0000000..4e791e6 --- /dev/null +++ b/ML_ADMQuantities_O2/src/RegisterMoL.c @@ -0,0 +1,16 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_ADMQuantities_O2_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + return; +} diff --git a/ML_ADMQuantities_O2/src/RegisterSymmetries.c b/ML_ADMQuantities_O2/src/RegisterSymmetries.c new file mode 100644 index 0000000..927d3a0 --- /dev/null +++ b/ML_ADMQuantities_O2/src/RegisterSymmetries.c @@ -0,0 +1,39 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_ADMQuantities_O2_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_O2::Jadm1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_O2::Jadm2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_O2::Jadm3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_ADMQuantities_O2::Madm"); + +} diff --git a/ML_ADMQuantities_O2/src/Startup.c b/ML_ADMQuantities_O2/src/Startup.c new file mode 100644 index 0000000..608bfab --- /dev/null +++ b/ML_ADMQuantities_O2/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_ADMQuantities_O2_Startup(void) +{ + const char * banner = "ML_ADMQuantities_O2"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_ADMQuantities_O2/src/make.code.defn b/ML_ADMQuantities_O2/src/make.code.defn new file mode 100644 index 0000000..7dceb0e --- /dev/null +++ b/ML_ADMQuantities_O2/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_ADMQuantities_O2.c ML_ADMQuantities_O2_boundary.c Boundaries.c diff --git a/ML_BSSN_O2/configuration.ccl b/ML_BSSN_O2/configuration.ccl new file mode 100644 index 0000000..8e2c3c5 --- /dev/null +++ b/ML_BSSN_O2/configuration.ccl @@ -0,0 +1,4 @@ +# File produced by Kranc + +REQUIRES GenericFD +REQUIRES LoopControl diff --git a/ML_BSSN_O2/interface.ccl b/ML_BSSN_O2/interface.ccl new file mode 100644 index 0000000..7a35162 --- /dev/null +++ b/ML_BSSN_O2/interface.ccl @@ -0,0 +1,205 @@ +# File produced by Kranc + +implements: ML_BSSN_O2 + +inherits: ADMBase TmunuBase Grid GenericFD Boundary + + + +USES INCLUDE: GenericFD.h +USES INCLUDE: Symmetry.h +USES INCLUDE: sbp_calc_coeffs.h +USES INCLUDE: Boundary.h +USES INCLUDE: loopcontrol.h + +CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex) +USES FUNCTION MoLRegisterEvolved + +SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle) +USES FUNCTION Diff_coeff + +CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectVarForBC + +public: +CCTK_REAL ML_BetaDriver type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + eta +} "ML_BetaDriver" + +public: +CCTK_REAL ML_cons_detg type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=2.0000000000000000000' +{ + cS +} "ML_cons_detg" + +public: +CCTK_REAL ML_cons_Gamma type=GF timelevels=1 tags='tensortypealias="U" tensorweight=0.66666666666666666667' +{ + cXt1, + cXt2, + cXt3 +} "ML_cons_Gamma" + +public: +CCTK_REAL ML_cons_traceA type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + cA +} "ML_cons_traceA" + +public: +CCTK_REAL ML_Ham type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + H +} "ML_Ham" + +public: +CCTK_REAL ML_mom type=GF timelevels=1 tags='tensortypealias="D" tensorweight=1.0000000000000000000' +{ + M1, + M2, + M3 +} "ML_mom" + +public: +CCTK_REAL ML_curv type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' +{ + At11, + At12, + At13, + At22, + At23, + At33 +} "ML_curv" + +public: +CCTK_REAL ML_dtlapse type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + A +} "ML_dtlapse" + +public: +CCTK_REAL ML_dtshift type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' +{ + B1, + B2, + B3 +} "ML_dtshift" + +public: +CCTK_REAL ML_Gamma type=GF timelevels=4 tags='tensortypealias="U" tensorweight=0.66666666666666666667' +{ + Xt1, + Xt2, + Xt3 +} "ML_Gamma" + +public: +CCTK_REAL ML_lapse type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + alpha +} "ML_lapse" + +public: +CCTK_REAL ML_log_confac type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=0.16666666666666666667' +{ + phi +} "ML_log_confac" + +public: +CCTK_REAL ML_metric type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' +{ + gt11, + gt12, + gt13, + gt22, + gt23, + gt33 +} "ML_metric" + +public: +CCTK_REAL ML_shift type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' +{ + beta1, + beta2, + beta3 +} "ML_shift" + +public: +CCTK_REAL ML_trace_curv type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + trK +} "ML_trace_curv" + +public: +CCTK_REAL ML_curvrhs type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' +{ + At11rhs, + At12rhs, + At13rhs, + At22rhs, + At23rhs, + At33rhs +} "ML_curvrhs" + +public: +CCTK_REAL ML_dtlapserhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + Arhs +} "ML_dtlapserhs" + +public: +CCTK_REAL ML_dtshiftrhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' +{ + B1rhs, + B2rhs, + B3rhs +} "ML_dtshiftrhs" + +public: +CCTK_REAL ML_Gammarhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=0.66666666666666666667' +{ + Xt1rhs, + Xt2rhs, + Xt3rhs +} "ML_Gammarhs" + +public: +CCTK_REAL ML_lapserhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + alpharhs +} "ML_lapserhs" + +public: +CCTK_REAL ML_log_confacrhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=0.16666666666666666667' +{ + phirhs +} "ML_log_confacrhs" + +public: +CCTK_REAL ML_metricrhs type=GF timelevels=4 tags='tensortypealias="DD_sym" tensorweight=-0.66666666666666666667' +{ + gt11rhs, + gt12rhs, + gt13rhs, + gt22rhs, + gt23rhs, + gt33rhs +} "ML_metricrhs" + +public: +CCTK_REAL ML_shiftrhs type=GF timelevels=4 tags='tensortypealias="U" tensorweight=1.0000000000000000000' +{ + beta1rhs, + beta2rhs, + beta3rhs +} "ML_shiftrhs" + +public: +CCTK_REAL ML_trace_curvrhs type=GF timelevels=4 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000' +{ + trKrhs +} "ML_trace_curvrhs" diff --git a/ML_BSSN_O2/param.ccl b/ML_BSSN_O2/param.ccl new file mode 100644 index 0000000..95b8e34 --- /dev/null +++ b/ML_BSSN_O2/param.ccl @@ -0,0 +1,1438 @@ +# File produced by Kranc + + +shares: ADMBase + + +EXTENDS CCTK_KEYWORD evolution_method "evolution_method" +{ + ML_BSSN_O2 :: "" +} + + +EXTENDS CCTK_KEYWORD lapse_evolution_method "lapse_evolution_method" +{ + ML_BSSN_O2 :: "" +} + + +EXTENDS CCTK_KEYWORD shift_evolution_method "shift_evolution_method" +{ + ML_BSSN_O2 :: "" +} + + +EXTENDS CCTK_KEYWORD dtlapse_evolution_method "dtlapse_evolution_method" +{ + ML_BSSN_O2 :: "" +} + + +EXTENDS CCTK_KEYWORD dtshift_evolution_method "dtshift_evolution_method" +{ + ML_BSSN_O2 :: "" +} + + + +shares: GenericFD + +USES CCTK_INT stencil_width +USES CCTK_INT stencil_width_x +USES CCTK_INT stencil_width_y +USES CCTK_INT stencil_width_z +USES CCTK_INT boundary_width + + +shares: MethodOfLines + +USES CCTK_INT MoL_Num_Evolved_Vars + +restricted: +CCTK_INT verbose "verbose" +{ + *:* :: "" +} 0 + +restricted: +CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" +{ + "*:*" :: "" +} 1 + +restricted: +CCTK_REAL AlphaDriver "AlphaDriver" +{ + "*:*" :: "" +} 0 + +restricted: +CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" +{ + "*:*" :: "" +} 0 + +restricted: +CCTK_REAL BetaDriver "BetaDriver" +{ + "*:*" :: "" +} 0 + +restricted: +CCTK_REAL LapseAdvectionCoeff "Factor in front of the shift advection terms in 1+log" +{ + "*:*" :: "" +} 1 + +restricted: +CCTK_REAL ShiftAdvectionCoeff "Factor in front of the shift advection terms in gamma driver" +{ + "*:*" :: "" +} 1 + +restricted: +CCTK_REAL MinimumLapse "Minimum value of the lapse function" +{ + "*:*" :: "" +} -1 + +restricted: +CCTK_REAL SpatialBetaDriverRadius "Radius at which the BetaDriver starts to be reduced" +{ + "*:*" :: "" +} 1000000000000 + +restricted: +CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" +{ + *:* :: "" +} 2 + +restricted: +CCTK_INT ShiftAlphaPower "ShiftAlphaPower" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT conformalMethod "Treatment of conformal factor" +{ + *:* :: "" +} 0 + +private: +KEYWORD my_initial_data "my_initial_data" +{ + "ADMBase" :: "ADMBase" + "Minkowski" :: "Minkowski" +} "ADMBase" + +restricted: +KEYWORD my_initial_boundary_condition "my_initial_boundary_condition" +{ + "none" :: "none" +} "none" + +restricted: +KEYWORD my_rhs_boundary_condition "my_rhs_boundary_condition" +{ + "none" :: "none" + "static" :: "static" + "radiative" :: "radiative" +} "none" + +private: +KEYWORD my_boundary_condition "my_boundary_condition" +{ + "none" :: "none" + "Minkowski" :: "Minkowski" +} "none" + +restricted: +KEYWORD calculate_ADMBase_variables_at "calculate_ADMBase_variables_at" +{ + "MoL_PostStep" :: "MoL_PostStep" + "CCTK_EVOL" :: "CCTK_EVOL" + "CCTK_ANALYSIS" :: "CCTK_ANALYSIS" +} "MoL_PostStep" + +restricted: +KEYWORD UseSpatialBetaDriver "UseSpatialBetaDriver" +{ + "no" :: "no" + "yes" :: "yes" +} "no" + +private: +KEYWORD dt_lapse_shift_method "Treatment of ADMBase dtlapse and dtshift" +{ + "correct" :: "correct" + "noLapseShiftAdvection" :: "noLapseShiftAdvection" +} "correct" + +restricted: +CCTK_INT ML_BSSN_O2_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars +{ + 25:25 :: "Number of evolved variables used by this thorn" +} 25 + +restricted: +CCTK_INT timelevels "Number of active timelevels" +{ + 0:4 :: "" +} 3 + +restricted: +CCTK_INT rhs_timelevels "Number of active RHS timelevels" +{ + 0:4 :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_Minkowski_calc_every "ML_BSSN_O2_Minkowski_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertFromADMBase_calc_every "ML_BSSN_O2_convertFromADMBase_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertFromADMBaseGamma_calc_every "ML_BSSN_O2_convertFromADMBaseGamma_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_setBetaDriverConstant_calc_every "ML_BSSN_O2_setBetaDriverConstant_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_setBetaDriverSpatial_calc_every "ML_BSSN_O2_setBetaDriverSpatial_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_RHS_calc_every "ML_BSSN_O2_RHS_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_RHS1_calc_every "ML_BSSN_O2_RHS1_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_RHS2_calc_every "ML_BSSN_O2_RHS2_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_RHSStaticBoundary_calc_every "ML_BSSN_O2_RHSStaticBoundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_RHSRadiativeBoundary_calc_every "ML_BSSN_O2_RHSRadiativeBoundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_enforce_calc_every "ML_BSSN_O2_enforce_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_enforce2_calc_every "ML_BSSN_O2_enforce2_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_boundary_calc_every "ML_BSSN_O2_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBase_calc_every "ML_BSSN_O2_convertToADMBase_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_every "ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_calc_every "ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_calc_every "ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_constraints_calc_every "ML_BSSN_O2_constraints_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_constraints_boundary_calc_every "ML_BSSN_O2_constraints_boundary_calc_every" +{ + *:* :: "" +} 1 + +restricted: +CCTK_INT ML_BSSN_O2_Minkowski_calc_offset "ML_BSSN_O2_Minkowski_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertFromADMBase_calc_offset "ML_BSSN_O2_convertFromADMBase_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertFromADMBaseGamma_calc_offset "ML_BSSN_O2_convertFromADMBaseGamma_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_setBetaDriverConstant_calc_offset "ML_BSSN_O2_setBetaDriverConstant_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_setBetaDriverSpatial_calc_offset "ML_BSSN_O2_setBetaDriverSpatial_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_RHS_calc_offset "ML_BSSN_O2_RHS_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_RHS1_calc_offset "ML_BSSN_O2_RHS1_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_RHS2_calc_offset "ML_BSSN_O2_RHS2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_RHSStaticBoundary_calc_offset "ML_BSSN_O2_RHSStaticBoundary_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_RHSRadiativeBoundary_calc_offset "ML_BSSN_O2_RHSRadiativeBoundary_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_enforce_calc_offset "ML_BSSN_O2_enforce_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_enforce2_calc_offset "ML_BSSN_O2_enforce2_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_boundary_calc_offset "ML_BSSN_O2_boundary_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBase_calc_offset "ML_BSSN_O2_convertToADMBase_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_offset "ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_calc_offset "ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_calc_offset "ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_constraints_calc_offset "ML_BSSN_O2_constraints_calc_offset" +{ + *:* :: "" +} 0 + +restricted: +CCTK_INT ML_BSSN_O2_constraints_boundary_calc_offset "ML_BSSN_O2_constraints_boundary_calc_offset" +{ + *:* :: "" +} 0 + +private: +KEYWORD At11_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD At12_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD At13_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD At22_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD At23_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD At33_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD A_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD B1_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD B2_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD B3_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD Xt1_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD Xt2_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD Xt3_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD alpha_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD phi_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt11_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt12_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt13_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt22_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt23_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD gt33_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD beta1_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD beta2_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD beta3_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD trK_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_curv_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_dtlapse_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_dtshift_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_Gamma_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_lapse_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_log_confac_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_metric_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_shift_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +KEYWORD ML_trace_curv_bound "Boundary condition to implement" +{ + "flat" :: "Flat boundary condition" + "none" :: "No boundary condition" + "static" :: "Boundaries held fixed" + "radiative" :: "Radiation boundary condition" + "scalar" :: "Dirichlet boundary condition" + "newrad" :: "Improved radiative boundary condition" + "skip" :: "skip boundary condition code" +} "skip" + +private: +CCTK_REAL At11_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At12_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At13_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At22_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At23_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At33_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL A_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL B1_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL B2_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL B3_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL Xt1_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL Xt2_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL Xt3_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL alpha_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL phi_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt11_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt12_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt13_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt22_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt23_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL gt33_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL beta1_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL beta2_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL beta3_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL trK_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_curv_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_dtlapse_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_dtshift_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_Gamma_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_lapse_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_log_confac_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_metric_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_shift_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL ML_trace_curv_bound_speed "characteristic speed at boundary" +{ + "0:*" :: "outgoing characteristic speed > 0" +} 1. + +private: +CCTK_REAL At11_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At12_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At13_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At22_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At23_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At33_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL A_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL B1_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL B2_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL B3_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL Xt1_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL Xt2_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL Xt3_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL alpha_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL phi_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt11_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt12_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt13_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt22_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt23_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL gt33_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL beta1_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL beta2_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL beta3_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL trK_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_curv_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_dtlapse_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_dtshift_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_Gamma_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_lapse_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_log_confac_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_metric_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_shift_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL ML_trace_curv_bound_limit "limit value for r -> infinity" +{ + "*:*" :: "value of limit value is unrestricted" +} 0. + +private: +CCTK_REAL At11_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL At12_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL At13_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL At22_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL At23_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL At33_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL A_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL B1_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL B2_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL B3_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL Xt1_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL Xt2_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL Xt3_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL alpha_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL phi_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt11_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt12_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt13_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt22_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt23_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL gt33_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL beta1_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL beta2_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL beta3_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL trK_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_curv_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_dtlapse_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_dtshift_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_Gamma_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_lapse_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_log_confac_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_metric_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_shift_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + +private: +CCTK_REAL ML_trace_curv_bound_scalar "Dirichlet boundary value" +{ + "*:*" :: "unrestricted" +} 0. + diff --git a/ML_BSSN_O2/schedule.ccl b/ML_BSSN_O2/schedule.ccl new file mode 100644 index 0000000..80e2597 --- /dev/null +++ b/ML_BSSN_O2/schedule.ccl @@ -0,0 +1,513 @@ +# File produced by Kranc + + +STORAGE: ML_BetaDriver[1] + +STORAGE: ML_cons_detg[1] + +STORAGE: ML_cons_Gamma[1] + +STORAGE: ML_cons_traceA[1] + +STORAGE: ML_Ham[1] + +STORAGE: ML_mom[1] + +if (timelevels == 1) +{ + STORAGE: ML_curv[1] +} +if (timelevels == 2) +{ + STORAGE: ML_curv[2] +} +if (timelevels == 3) +{ + STORAGE: ML_curv[3] +} +if (timelevels == 4) +{ + STORAGE: ML_curv[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_dtlapse[1] +} +if (timelevels == 2) +{ + STORAGE: ML_dtlapse[2] +} +if (timelevels == 3) +{ + STORAGE: ML_dtlapse[3] +} +if (timelevels == 4) +{ + STORAGE: ML_dtlapse[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_dtshift[1] +} +if (timelevels == 2) +{ + STORAGE: ML_dtshift[2] +} +if (timelevels == 3) +{ + STORAGE: ML_dtshift[3] +} +if (timelevels == 4) +{ + STORAGE: ML_dtshift[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_Gamma[1] +} +if (timelevels == 2) +{ + STORAGE: ML_Gamma[2] +} +if (timelevels == 3) +{ + STORAGE: ML_Gamma[3] +} +if (timelevels == 4) +{ + STORAGE: ML_Gamma[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_lapse[1] +} +if (timelevels == 2) +{ + STORAGE: ML_lapse[2] +} +if (timelevels == 3) +{ + STORAGE: ML_lapse[3] +} +if (timelevels == 4) +{ + STORAGE: ML_lapse[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_log_confac[1] +} +if (timelevels == 2) +{ + STORAGE: ML_log_confac[2] +} +if (timelevels == 3) +{ + STORAGE: ML_log_confac[3] +} +if (timelevels == 4) +{ + STORAGE: ML_log_confac[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_metric[1] +} +if (timelevels == 2) +{ + STORAGE: ML_metric[2] +} +if (timelevels == 3) +{ + STORAGE: ML_metric[3] +} +if (timelevels == 4) +{ + STORAGE: ML_metric[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_shift[1] +} +if (timelevels == 2) +{ + STORAGE: ML_shift[2] +} +if (timelevels == 3) +{ + STORAGE: ML_shift[3] +} +if (timelevels == 4) +{ + STORAGE: ML_shift[4] +} + +if (timelevels == 1) +{ + STORAGE: ML_trace_curv[1] +} +if (timelevels == 2) +{ + STORAGE: ML_trace_curv[2] +} +if (timelevels == 3) +{ + STORAGE: ML_trace_curv[3] +} +if (timelevels == 4) +{ + STORAGE: ML_trace_curv[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_curvrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_curvrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_curvrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_curvrhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_dtlapserhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_dtlapserhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_dtlapserhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_dtlapserhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_dtshiftrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_dtshiftrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_dtshiftrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_dtshiftrhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_Gammarhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_Gammarhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_Gammarhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_Gammarhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_lapserhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_lapserhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_lapserhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_lapserhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_log_confacrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_log_confacrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_log_confacrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_log_confacrhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_metricrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_metricrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_metricrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_metricrhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_shiftrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_shiftrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_shiftrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_shiftrhs[4] +} + +if (rhs_timelevels == 1) +{ + STORAGE: ML_trace_curvrhs[1] +} +if (rhs_timelevels == 2) +{ + STORAGE: ML_trace_curvrhs[2] +} +if (rhs_timelevels == 3) +{ + STORAGE: ML_trace_curvrhs[3] +} +if (rhs_timelevels == 4) +{ + STORAGE: ML_trace_curvrhs[4] +} + +schedule ML_BSSN_O2_Startup at STARTUP +{ + LANG: C + OPTIONS: meta +} "create banner" + +schedule ML_BSSN_O2_RegisterVars in MoL_Register +{ + LANG: C + OPTIONS: meta +} "Register Variables for MoL" + +schedule ML_BSSN_O2_RegisterSymmetries in SymmetryRegister +{ + LANG: C + OPTIONS: meta +} "register symmetries" + + +if (CCTK_EQUALS(my_initial_data, "Minkowski")) +{ + schedule ML_BSSN_O2_Minkowski IN ADMBase_InitialData + { + LANG: C + } "ML_BSSN_O2_Minkowski" +} + + +if (CCTK_EQUALS(my_initial_data, "ADMBase")) +{ + schedule ML_BSSN_O2_convertFromADMBase AT initial AFTER ADMBase_PostInitial + { + LANG: C + } "ML_BSSN_O2_convertFromADMBase" +} + + +if (CCTK_EQUALS(my_initial_data, "ADMBase")) +{ + schedule ML_BSSN_O2_convertFromADMBaseGamma AT initial AFTER ML_BSSN_O2_convertFromADMBase + { + LANG: C + SYNC: ML_dtlapse + SYNC: ML_dtshift + SYNC: ML_Gamma + } "ML_BSSN_O2_convertFromADMBaseGamma" +} + + +if (CCTK_EQUALS(UseSpatialBetaDriver, "no")) +{ + schedule ML_BSSN_O2_setBetaDriverConstant IN ML_BSSN_O2_InitEta + { + LANG: C + } "ML_BSSN_O2_setBetaDriverConstant" +} + + +if (CCTK_EQUALS(UseSpatialBetaDriver, "yes")) +{ + schedule ML_BSSN_O2_setBetaDriverSpatial IN ML_BSSN_O2_InitEta + { + LANG: C + } "ML_BSSN_O2_setBetaDriverSpatial" +} + +schedule ML_BSSN_O2_RHS IN NoSuchGroup +{ + LANG: C +} "ML_BSSN_O2_RHS" + +schedule ML_BSSN_O2_RHS1 IN ML_BSSN_O2_evolCalcGroup +{ + LANG: C +} "ML_BSSN_O2_RHS1" + +schedule ML_BSSN_O2_RHS2 IN ML_BSSN_O2_evolCalcGroup +{ + LANG: C +} "ML_BSSN_O2_RHS2" + + +if (CCTK_EQUALS(my_rhs_boundary_condition, "static")) +{ + schedule ML_BSSN_O2_RHSStaticBoundary IN MoL_CalcRHS + { + LANG: C + } "ML_BSSN_O2_RHSStaticBoundary" +} + + +if (CCTK_EQUALS(my_rhs_boundary_condition, "radiative")) +{ + schedule ML_BSSN_O2_RHSRadiativeBoundary IN MoL_CalcRHS + { + LANG: C + } "ML_BSSN_O2_RHSRadiativeBoundary" +} + +schedule ML_BSSN_O2_enforce IN MoL_PostStep BEFORE ML_BSSN_O2_SelectBoundConds +{ + LANG: C +} "ML_BSSN_O2_enforce" + +schedule ML_BSSN_O2_enforce2 IN MoL_PostStep AFTER ML_BSSN_O2_enforce BEFORE ML_BSSN_O2_SelectBoundConds +{ + LANG: C +} "ML_BSSN_O2_enforce2" + + +if (CCTK_EQUALS(my_boundary_condition, "Minkowski")) +{ + schedule ML_BSSN_O2_boundary IN MoL_PostStep + { + LANG: C + } "ML_BSSN_O2_boundary" +} + +schedule ML_BSSN_O2_convertToADMBase IN ML_BSSN_O2_convertToADMBaseGroup +{ + LANG: C +} "ML_BSSN_O2_convertToADMBase" + + +if (CCTK_EQUALS(dt_lapse_shift_method, "correct")) +{ + schedule ML_BSSN_O2_convertToADMBaseDtLapseShift IN ML_BSSN_O2_convertToADMBaseGroup + { + LANG: C + SYNC: ADMBase::dtlapse + SYNC: ADMBase::dtshift + } "ML_BSSN_O2_convertToADMBaseDtLapseShift" +} + + +if (CCTK_EQUALS(dt_lapse_shift_method, "correct")) +{ + schedule ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary IN ML_BSSN_O2_convertToADMBaseGroup + { + LANG: C + } "ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary" +} + + +if (CCTK_EQUALS(dt_lapse_shift_method, "noLapseShiftAdvection")) +{ + schedule ML_BSSN_O2_convertToADMBaseFakeDtLapseShift IN ML_BSSN_O2_convertToADMBaseGroup + { + LANG: C + } "ML_BSSN_O2_convertToADMBaseFakeDtLapseShift" +} + +schedule ML_BSSN_O2_constraints IN ML_BSSN_O2_constraintsCalcGroup +{ + LANG: C + SYNC: ML_cons_detg + SYNC: ML_cons_Gamma + SYNC: ML_cons_traceA + SYNC: ML_Ham + SYNC: ML_mom +} "ML_BSSN_O2_constraints" + +schedule ML_BSSN_O2_constraints_boundary IN ML_BSSN_O2_constraintsCalcGroup AFTER ML_BSSN_O2_constraints +{ + LANG: C +} "ML_BSSN_O2_constraints_boundary" + +schedule ML_BSSN_O2_SelectBoundConds in MoL_PostStep +{ + LANG: C + OPTIONS: level + SYNC: ML_curv + SYNC: ML_dtlapse + SYNC: ML_dtshift + SYNC: ML_Gamma + SYNC: ML_lapse + SYNC: ML_log_confac + SYNC: ML_metric + SYNC: ML_shift + SYNC: ML_trace_curv +} "select boundary conditions" + +schedule ML_BSSN_O2_CheckBoundaries at BASEGRID +{ + LANG: C + OPTIONS: meta +} "check boundaries treatment" + +schedule group ApplyBCs as ML_BSSN_O2_ApplyBCs in MoL_PostStep after ML_BSSN_O2_SelectBoundConds +{ + # no language specified +} "Apply boundary conditions controlled by thorn Boundary" diff --git a/ML_BSSN_O2/src/Boundaries.c b/ML_BSSN_O2/src/Boundaries.c new file mode 100644 index 0000000..8d548f3 --- /dev/null +++ b/ML_BSSN_O2/src/Boundaries.c @@ -0,0 +1,1809 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Faces.h" +#include "util_Table.h" +#include "Symmetry.h" + + +/* the boundary treatment is split into 3 steps: */ +/* 1. excision */ +/* 2. symmetries */ +/* 3. "other" boundary conditions, e.g. radiative */ + +/* to simplify scheduling and testing, the 3 steps */ +/* are currently applied in separate functions */ + + +void ML_BSSN_O2_CheckBoundaries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + return; +} + +void ML_BSSN_O2_SelectBoundConds(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + if (CCTK_EQUALS(ML_curv_bound, "none" ) || + CCTK_EQUALS(ML_curv_bound, "static") || + CCTK_EQUALS(ML_curv_bound, "flat" ) || + CCTK_EQUALS(ML_curv_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_curv", ML_curv_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_curv_bound BC for ML_BSSN_O2::ML_curv!"); + } + + if (CCTK_EQUALS(ML_dtlapse_bound, "none" ) || + CCTK_EQUALS(ML_dtlapse_bound, "static") || + CCTK_EQUALS(ML_dtlapse_bound, "flat" ) || + CCTK_EQUALS(ML_dtlapse_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_dtlapse", ML_dtlapse_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_dtlapse_bound BC for ML_BSSN_O2::ML_dtlapse!"); + } + + if (CCTK_EQUALS(ML_dtshift_bound, "none" ) || + CCTK_EQUALS(ML_dtshift_bound, "static") || + CCTK_EQUALS(ML_dtshift_bound, "flat" ) || + CCTK_EQUALS(ML_dtshift_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_dtshift", ML_dtshift_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_dtshift_bound BC for ML_BSSN_O2::ML_dtshift!"); + } + + if (CCTK_EQUALS(ML_Gamma_bound, "none" ) || + CCTK_EQUALS(ML_Gamma_bound, "static") || + CCTK_EQUALS(ML_Gamma_bound, "flat" ) || + CCTK_EQUALS(ML_Gamma_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_Gamma", ML_Gamma_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_Gamma_bound BC for ML_BSSN_O2::ML_Gamma!"); + } + + if (CCTK_EQUALS(ML_lapse_bound, "none" ) || + CCTK_EQUALS(ML_lapse_bound, "static") || + CCTK_EQUALS(ML_lapse_bound, "flat" ) || + CCTK_EQUALS(ML_lapse_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_lapse", ML_lapse_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_lapse_bound BC for ML_BSSN_O2::ML_lapse!"); + } + + if (CCTK_EQUALS(ML_log_confac_bound, "none" ) || + CCTK_EQUALS(ML_log_confac_bound, "static") || + CCTK_EQUALS(ML_log_confac_bound, "flat" ) || + CCTK_EQUALS(ML_log_confac_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_log_confac", ML_log_confac_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_log_confac_bound BC for ML_BSSN_O2::ML_log_confac!"); + } + + if (CCTK_EQUALS(ML_metric_bound, "none" ) || + CCTK_EQUALS(ML_metric_bound, "static") || + CCTK_EQUALS(ML_metric_bound, "flat" ) || + CCTK_EQUALS(ML_metric_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_metric", ML_metric_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_metric_bound BC for ML_BSSN_O2::ML_metric!"); + } + + if (CCTK_EQUALS(ML_shift_bound, "none" ) || + CCTK_EQUALS(ML_shift_bound, "static") || + CCTK_EQUALS(ML_shift_bound, "flat" ) || + CCTK_EQUALS(ML_shift_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_shift", ML_shift_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_shift_bound BC for ML_BSSN_O2::ML_shift!"); + } + + if (CCTK_EQUALS(ML_trace_curv_bound, "none" ) || + CCTK_EQUALS(ML_trace_curv_bound, "static") || + CCTK_EQUALS(ML_trace_curv_bound, "flat" ) || + CCTK_EQUALS(ML_trace_curv_bound, "zero" ) ) + { + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::ML_trace_curv", ML_trace_curv_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register ML_trace_curv_bound BC for ML_BSSN_O2::ML_trace_curv!"); + } + + if (CCTK_EQUALS(At11_bound, "none" ) || + CCTK_EQUALS(At11_bound, "static") || + CCTK_EQUALS(At11_bound, "flat" ) || + CCTK_EQUALS(At11_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At11", At11_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At11_bound BC for ML_BSSN_O2::At11!"); + } + + if (CCTK_EQUALS(At12_bound, "none" ) || + CCTK_EQUALS(At12_bound, "static") || + CCTK_EQUALS(At12_bound, "flat" ) || + CCTK_EQUALS(At12_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At12", At12_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At12_bound BC for ML_BSSN_O2::At12!"); + } + + if (CCTK_EQUALS(At13_bound, "none" ) || + CCTK_EQUALS(At13_bound, "static") || + CCTK_EQUALS(At13_bound, "flat" ) || + CCTK_EQUALS(At13_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At13", At13_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At13_bound BC for ML_BSSN_O2::At13!"); + } + + if (CCTK_EQUALS(At22_bound, "none" ) || + CCTK_EQUALS(At22_bound, "static") || + CCTK_EQUALS(At22_bound, "flat" ) || + CCTK_EQUALS(At22_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At22", At22_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At22_bound BC for ML_BSSN_O2::At22!"); + } + + if (CCTK_EQUALS(At23_bound, "none" ) || + CCTK_EQUALS(At23_bound, "static") || + CCTK_EQUALS(At23_bound, "flat" ) || + CCTK_EQUALS(At23_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At23", At23_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At23_bound BC for ML_BSSN_O2::At23!"); + } + + if (CCTK_EQUALS(At33_bound, "none" ) || + CCTK_EQUALS(At33_bound, "static") || + CCTK_EQUALS(At33_bound, "flat" ) || + CCTK_EQUALS(At33_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::At33", At33_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register At33_bound BC for ML_BSSN_O2::At33!"); + } + + if (CCTK_EQUALS(A_bound, "none" ) || + CCTK_EQUALS(A_bound, "static") || + CCTK_EQUALS(A_bound, "flat" ) || + CCTK_EQUALS(A_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::A", A_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register A_bound BC for ML_BSSN_O2::A!"); + } + + if (CCTK_EQUALS(B1_bound, "none" ) || + CCTK_EQUALS(B1_bound, "static") || + CCTK_EQUALS(B1_bound, "flat" ) || + CCTK_EQUALS(B1_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::B1", B1_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register B1_bound BC for ML_BSSN_O2::B1!"); + } + + if (CCTK_EQUALS(B2_bound, "none" ) || + CCTK_EQUALS(B2_bound, "static") || + CCTK_EQUALS(B2_bound, "flat" ) || + CCTK_EQUALS(B2_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::B2", B2_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register B2_bound BC for ML_BSSN_O2::B2!"); + } + + if (CCTK_EQUALS(B3_bound, "none" ) || + CCTK_EQUALS(B3_bound, "static") || + CCTK_EQUALS(B3_bound, "flat" ) || + CCTK_EQUALS(B3_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::B3", B3_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register B3_bound BC for ML_BSSN_O2::B3!"); + } + + if (CCTK_EQUALS(Xt1_bound, "none" ) || + CCTK_EQUALS(Xt1_bound, "static") || + CCTK_EQUALS(Xt1_bound, "flat" ) || + CCTK_EQUALS(Xt1_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::Xt1", Xt1_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register Xt1_bound BC for ML_BSSN_O2::Xt1!"); + } + + if (CCTK_EQUALS(Xt2_bound, "none" ) || + CCTK_EQUALS(Xt2_bound, "static") || + CCTK_EQUALS(Xt2_bound, "flat" ) || + CCTK_EQUALS(Xt2_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::Xt2", Xt2_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register Xt2_bound BC for ML_BSSN_O2::Xt2!"); + } + + if (CCTK_EQUALS(Xt3_bound, "none" ) || + CCTK_EQUALS(Xt3_bound, "static") || + CCTK_EQUALS(Xt3_bound, "flat" ) || + CCTK_EQUALS(Xt3_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::Xt3", Xt3_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register Xt3_bound BC for ML_BSSN_O2::Xt3!"); + } + + if (CCTK_EQUALS(alpha_bound, "none" ) || + CCTK_EQUALS(alpha_bound, "static") || + CCTK_EQUALS(alpha_bound, "flat" ) || + CCTK_EQUALS(alpha_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::alpha", alpha_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register alpha_bound BC for ML_BSSN_O2::alpha!"); + } + + if (CCTK_EQUALS(phi_bound, "none" ) || + CCTK_EQUALS(phi_bound, "static") || + CCTK_EQUALS(phi_bound, "flat" ) || + CCTK_EQUALS(phi_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::phi", phi_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register phi_bound BC for ML_BSSN_O2::phi!"); + } + + if (CCTK_EQUALS(gt11_bound, "none" ) || + CCTK_EQUALS(gt11_bound, "static") || + CCTK_EQUALS(gt11_bound, "flat" ) || + CCTK_EQUALS(gt11_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt11", gt11_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt11_bound BC for ML_BSSN_O2::gt11!"); + } + + if (CCTK_EQUALS(gt12_bound, "none" ) || + CCTK_EQUALS(gt12_bound, "static") || + CCTK_EQUALS(gt12_bound, "flat" ) || + CCTK_EQUALS(gt12_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt12", gt12_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt12_bound BC for ML_BSSN_O2::gt12!"); + } + + if (CCTK_EQUALS(gt13_bound, "none" ) || + CCTK_EQUALS(gt13_bound, "static") || + CCTK_EQUALS(gt13_bound, "flat" ) || + CCTK_EQUALS(gt13_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt13", gt13_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt13_bound BC for ML_BSSN_O2::gt13!"); + } + + if (CCTK_EQUALS(gt22_bound, "none" ) || + CCTK_EQUALS(gt22_bound, "static") || + CCTK_EQUALS(gt22_bound, "flat" ) || + CCTK_EQUALS(gt22_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt22", gt22_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt22_bound BC for ML_BSSN_O2::gt22!"); + } + + if (CCTK_EQUALS(gt23_bound, "none" ) || + CCTK_EQUALS(gt23_bound, "static") || + CCTK_EQUALS(gt23_bound, "flat" ) || + CCTK_EQUALS(gt23_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt23", gt23_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt23_bound BC for ML_BSSN_O2::gt23!"); + } + + if (CCTK_EQUALS(gt33_bound, "none" ) || + CCTK_EQUALS(gt33_bound, "static") || + CCTK_EQUALS(gt33_bound, "flat" ) || + CCTK_EQUALS(gt33_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::gt33", gt33_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register gt33_bound BC for ML_BSSN_O2::gt33!"); + } + + if (CCTK_EQUALS(beta1_bound, "none" ) || + CCTK_EQUALS(beta1_bound, "static") || + CCTK_EQUALS(beta1_bound, "flat" ) || + CCTK_EQUALS(beta1_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::beta1", beta1_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register beta1_bound BC for ML_BSSN_O2::beta1!"); + } + + if (CCTK_EQUALS(beta2_bound, "none" ) || + CCTK_EQUALS(beta2_bound, "static") || + CCTK_EQUALS(beta2_bound, "flat" ) || + CCTK_EQUALS(beta2_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::beta2", beta2_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register beta2_bound BC for ML_BSSN_O2::beta2!"); + } + + if (CCTK_EQUALS(beta3_bound, "none" ) || + CCTK_EQUALS(beta3_bound, "static") || + CCTK_EQUALS(beta3_bound, "flat" ) || + CCTK_EQUALS(beta3_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::beta3", beta3_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register beta3_bound BC for ML_BSSN_O2::beta3!"); + } + + if (CCTK_EQUALS(trK_bound, "none" ) || + CCTK_EQUALS(trK_bound, "static") || + CCTK_EQUALS(trK_bound, "flat" ) || + CCTK_EQUALS(trK_bound, "zero" ) ) + { + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, + "ML_BSSN_O2::trK", trK_bound); + if (ierr < 0) + CCTK_WARN(0, "Failed to register trK_bound BC for ML_BSSN_O2::trK!"); + } + + if (CCTK_EQUALS(ML_curv_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_curv_bound = -1; + if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_curv_bound , ML_curv_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, + "ML_BSSN_O2::ML_curv", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_curv!"); + + } + + if (CCTK_EQUALS(ML_dtlapse_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_dtlapse_bound = -1; + if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_dtlapse_bound , ML_dtlapse_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, + "ML_BSSN_O2::ML_dtlapse", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_dtlapse!"); + + } + + if (CCTK_EQUALS(ML_dtshift_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_dtshift_bound = -1; + if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_dtshift_bound , ML_dtshift_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, + "ML_BSSN_O2::ML_dtshift", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_dtshift!"); + + } + + if (CCTK_EQUALS(ML_Gamma_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_Gamma_bound = -1; + if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_Gamma_bound , ML_Gamma_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, + "ML_BSSN_O2::ML_Gamma", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_Gamma!"); + + } + + if (CCTK_EQUALS(ML_lapse_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_lapse_bound = -1; + if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_lapse_bound , ML_lapse_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, + "ML_BSSN_O2::ML_lapse", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_lapse!"); + + } + + if (CCTK_EQUALS(ML_log_confac_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_log_confac_bound = -1; + if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_log_confac_bound , ML_log_confac_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, + "ML_BSSN_O2::ML_log_confac", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_log_confac!"); + + } + + if (CCTK_EQUALS(ML_metric_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_metric_bound = -1; + if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_metric_bound , ML_metric_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, + "ML_BSSN_O2::ML_metric", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_metric!"); + + } + + if (CCTK_EQUALS(ML_shift_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_shift_bound = -1; + if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_shift_bound , ML_shift_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, + "ML_BSSN_O2::ML_shift", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_shift!"); + + } + + if (CCTK_EQUALS(ML_trace_curv_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_ML_trace_curv_bound = -1; + if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_trace_curv_bound , ML_trace_curv_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, + "ML_BSSN_O2::ML_trace_curv", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::ML_trace_curv!"); + + } + + if (CCTK_EQUALS(At11_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At11_bound = -1; + if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At11_bound , At11_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At11_bound ,At11_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, + "ML_BSSN_O2::At11", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At11!"); + + } + + if (CCTK_EQUALS(At12_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At12_bound = -1; + if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At12_bound , At12_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At12_bound ,At12_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, + "ML_BSSN_O2::At12", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At12!"); + + } + + if (CCTK_EQUALS(At13_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At13_bound = -1; + if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At13_bound , At13_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At13_bound ,At13_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, + "ML_BSSN_O2::At13", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At13!"); + + } + + if (CCTK_EQUALS(At22_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At22_bound = -1; + if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At22_bound , At22_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At22_bound ,At22_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, + "ML_BSSN_O2::At22", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At22!"); + + } + + if (CCTK_EQUALS(At23_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At23_bound = -1; + if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At23_bound , At23_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At23_bound ,At23_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, + "ML_BSSN_O2::At23", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At23!"); + + } + + if (CCTK_EQUALS(At33_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_At33_bound = -1; + if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At33_bound , At33_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_At33_bound ,At33_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, + "ML_BSSN_O2::At33", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::At33!"); + + } + + if (CCTK_EQUALS(A_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_A_bound = -1; + if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_A_bound , A_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_A_bound ,A_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, + "ML_BSSN_O2::A", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::A!"); + + } + + if (CCTK_EQUALS(B1_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_B1_bound = -1; + if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B1_bound , B1_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_B1_bound ,B1_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, + "ML_BSSN_O2::B1", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::B1!"); + + } + + if (CCTK_EQUALS(B2_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_B2_bound = -1; + if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B2_bound , B2_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_B2_bound ,B2_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, + "ML_BSSN_O2::B2", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::B2!"); + + } + + if (CCTK_EQUALS(B3_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_B3_bound = -1; + if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B3_bound , B3_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_B3_bound ,B3_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, + "ML_BSSN_O2::B3", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::B3!"); + + } + + if (CCTK_EQUALS(Xt1_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_Xt1_bound = -1; + if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt1_bound , Xt1_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, + "ML_BSSN_O2::Xt1", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::Xt1!"); + + } + + if (CCTK_EQUALS(Xt2_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_Xt2_bound = -1; + if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt2_bound , Xt2_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, + "ML_BSSN_O2::Xt2", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::Xt2!"); + + } + + if (CCTK_EQUALS(Xt3_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_Xt3_bound = -1; + if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt3_bound , Xt3_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, + "ML_BSSN_O2::Xt3", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::Xt3!"); + + } + + if (CCTK_EQUALS(alpha_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_alpha_bound = -1; + if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_alpha_bound , alpha_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, + "ML_BSSN_O2::alpha", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::alpha!"); + + } + + if (CCTK_EQUALS(phi_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_phi_bound = -1; + if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_phi_bound , phi_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_phi_bound ,phi_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, + "ML_BSSN_O2::phi", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::phi!"); + + } + + if (CCTK_EQUALS(gt11_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt11_bound = -1; + if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt11_bound , gt11_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, + "ML_BSSN_O2::gt11", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt11!"); + + } + + if (CCTK_EQUALS(gt12_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt12_bound = -1; + if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt12_bound , gt12_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, + "ML_BSSN_O2::gt12", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt12!"); + + } + + if (CCTK_EQUALS(gt13_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt13_bound = -1; + if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt13_bound , gt13_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, + "ML_BSSN_O2::gt13", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt13!"); + + } + + if (CCTK_EQUALS(gt22_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt22_bound = -1; + if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt22_bound , gt22_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, + "ML_BSSN_O2::gt22", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt22!"); + + } + + if (CCTK_EQUALS(gt23_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt23_bound = -1; + if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt23_bound , gt23_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, + "ML_BSSN_O2::gt23", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt23!"); + + } + + if (CCTK_EQUALS(gt33_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_gt33_bound = -1; + if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt33_bound , gt33_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, + "ML_BSSN_O2::gt33", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::gt33!"); + + } + + if (CCTK_EQUALS(beta1_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_beta1_bound = -1; + if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta1_bound , beta1_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, + "ML_BSSN_O2::beta1", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::beta1!"); + + } + + if (CCTK_EQUALS(beta2_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_beta2_bound = -1; + if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta2_bound , beta2_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, + "ML_BSSN_O2::beta2", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::beta2!"); + + } + + if (CCTK_EQUALS(beta3_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_beta3_bound = -1; + if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta3_bound , beta3_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, + "ML_BSSN_O2::beta3", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::beta3!"); + + } + + if (CCTK_EQUALS(trK_bound, "radiative")) + { + /* select radiation boundary condition */ + static CCTK_INT handle_trK_bound = -1; + if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_trK_bound , trK_bound_limit, "LIMIT") < 0) + CCTK_WARN(0, "could not set LIMIT value in table!"); + if (Util_TableSetReal(handle_trK_bound ,trK_bound_speed, "SPEED") < 0) + CCTK_WARN(0, "could not set SPEED value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, + "ML_BSSN_O2::trK", "Radiation"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_O2::trK!"); + + } + + if (CCTK_EQUALS(ML_curv_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_curv_bound = -1; + if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, + "ML_BSSN_O2::ML_curv", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_curv!"); + + } + + if (CCTK_EQUALS(ML_dtlapse_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_dtlapse_bound = -1; + if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, + "ML_BSSN_O2::ML_dtlapse", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_dtlapse!"); + + } + + if (CCTK_EQUALS(ML_dtshift_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_dtshift_bound = -1; + if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, + "ML_BSSN_O2::ML_dtshift", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_dtshift!"); + + } + + if (CCTK_EQUALS(ML_Gamma_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_Gamma_bound = -1; + if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, + "ML_BSSN_O2::ML_Gamma", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_Gamma!"); + + } + + if (CCTK_EQUALS(ML_lapse_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_lapse_bound = -1; + if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, + "ML_BSSN_O2::ML_lapse", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_lapse!"); + + } + + if (CCTK_EQUALS(ML_log_confac_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_log_confac_bound = -1; + if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, + "ML_BSSN_O2::ML_log_confac", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_log_confac!"); + + } + + if (CCTK_EQUALS(ML_metric_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_metric_bound = -1; + if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, + "ML_BSSN_O2::ML_metric", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_metric!"); + + } + + if (CCTK_EQUALS(ML_shift_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_shift_bound = -1; + if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, + "ML_BSSN_O2::ML_shift", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_shift!"); + + } + + if (CCTK_EQUALS(ML_trace_curv_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_ML_trace_curv_bound = -1; + if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, + "ML_BSSN_O2::ML_trace_curv", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_O2::ML_trace_curv!"); + + } + + if (CCTK_EQUALS(At11_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At11_bound = -1; + if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At11_bound ,At11_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, + "ML_BSSN_O2::At11", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At11!"); + + } + + if (CCTK_EQUALS(At12_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At12_bound = -1; + if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At12_bound ,At12_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, + "ML_BSSN_O2::At12", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At12!"); + + } + + if (CCTK_EQUALS(At13_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At13_bound = -1; + if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At13_bound ,At13_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, + "ML_BSSN_O2::At13", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At13!"); + + } + + if (CCTK_EQUALS(At22_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At22_bound = -1; + if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At22_bound ,At22_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, + "ML_BSSN_O2::At22", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At22!"); + + } + + if (CCTK_EQUALS(At23_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At23_bound = -1; + if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At23_bound ,At23_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, + "ML_BSSN_O2::At23", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At23!"); + + } + + if (CCTK_EQUALS(At33_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_At33_bound = -1; + if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_At33_bound ,At33_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, + "ML_BSSN_O2::At33", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::At33!"); + + } + + if (CCTK_EQUALS(A_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_A_bound = -1; + if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_A_bound ,A_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, + "ML_BSSN_O2::A", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::A!"); + + } + + if (CCTK_EQUALS(B1_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_B1_bound = -1; + if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B1_bound ,B1_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, + "ML_BSSN_O2::B1", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::B1!"); + + } + + if (CCTK_EQUALS(B2_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_B2_bound = -1; + if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B2_bound ,B2_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, + "ML_BSSN_O2::B2", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::B2!"); + + } + + if (CCTK_EQUALS(B3_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_B3_bound = -1; + if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_B3_bound ,B3_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, + "ML_BSSN_O2::B3", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::B3!"); + + } + + if (CCTK_EQUALS(Xt1_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_Xt1_bound = -1; + if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, + "ML_BSSN_O2::Xt1", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::Xt1!"); + + } + + if (CCTK_EQUALS(Xt2_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_Xt2_bound = -1; + if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, + "ML_BSSN_O2::Xt2", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::Xt2!"); + + } + + if (CCTK_EQUALS(Xt3_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_Xt3_bound = -1; + if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, + "ML_BSSN_O2::Xt3", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::Xt3!"); + + } + + if (CCTK_EQUALS(alpha_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_alpha_bound = -1; + if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, + "ML_BSSN_O2::alpha", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::alpha!"); + + } + + if (CCTK_EQUALS(phi_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_phi_bound = -1; + if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_phi_bound ,phi_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, + "ML_BSSN_O2::phi", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::phi!"); + + } + + if (CCTK_EQUALS(gt11_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt11_bound = -1; + if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, + "ML_BSSN_O2::gt11", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt11!"); + + } + + if (CCTK_EQUALS(gt12_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt12_bound = -1; + if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, + "ML_BSSN_O2::gt12", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt12!"); + + } + + if (CCTK_EQUALS(gt13_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt13_bound = -1; + if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, + "ML_BSSN_O2::gt13", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt13!"); + + } + + if (CCTK_EQUALS(gt22_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt22_bound = -1; + if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, + "ML_BSSN_O2::gt22", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt22!"); + + } + + if (CCTK_EQUALS(gt23_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt23_bound = -1; + if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, + "ML_BSSN_O2::gt23", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt23!"); + + } + + if (CCTK_EQUALS(gt33_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_gt33_bound = -1; + if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, + "ML_BSSN_O2::gt33", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::gt33!"); + + } + + if (CCTK_EQUALS(beta1_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_beta1_bound = -1; + if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, + "ML_BSSN_O2::beta1", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::beta1!"); + + } + + if (CCTK_EQUALS(beta2_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_beta2_bound = -1; + if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, + "ML_BSSN_O2::beta2", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::beta2!"); + + } + + if (CCTK_EQUALS(beta3_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_beta3_bound = -1; + if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, + "ML_BSSN_O2::beta3", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::beta3!"); + + } + + if (CCTK_EQUALS(trK_bound, "scalar")) + { + /* select scalar boundary condition */ + static CCTK_INT handle_trK_bound = -1; + if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); + if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); + if (Util_TableSetReal(handle_trK_bound ,trK_bound_scalar, "SCALAR") < 0) + CCTK_WARN(0, "could not set SCALAR value in table!"); + + ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, + "ML_BSSN_O2::trK", "scalar"); + + if (ierr < 0) + CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_O2::trK!"); + + } + return; +} + + + +/* template for entries in parameter file: +#$bound$#ML_BSSN_O2::ML_curv_bound = "skip" +#$bound$#ML_BSSN_O2::ML_curv_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_curv_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_curv_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_dtlapse_bound = "skip" +#$bound$#ML_BSSN_O2::ML_dtlapse_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_dtlapse_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_dtlapse_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_dtshift_bound = "skip" +#$bound$#ML_BSSN_O2::ML_dtshift_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_dtshift_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_dtshift_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_Gamma_bound = "skip" +#$bound$#ML_BSSN_O2::ML_Gamma_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_Gamma_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_Gamma_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_lapse_bound = "skip" +#$bound$#ML_BSSN_O2::ML_lapse_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_lapse_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_lapse_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_log_confac_bound = "skip" +#$bound$#ML_BSSN_O2::ML_log_confac_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_log_confac_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_log_confac_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_metric_bound = "skip" +#$bound$#ML_BSSN_O2::ML_metric_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_metric_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_metric_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_shift_bound = "skip" +#$bound$#ML_BSSN_O2::ML_shift_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_shift_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_shift_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::ML_trace_curv_bound = "skip" +#$bound$#ML_BSSN_O2::ML_trace_curv_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::ML_trace_curv_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::ML_trace_curv_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At11_bound = "skip" +#$bound$#ML_BSSN_O2::At11_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At11_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At11_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At12_bound = "skip" +#$bound$#ML_BSSN_O2::At12_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At12_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At12_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At13_bound = "skip" +#$bound$#ML_BSSN_O2::At13_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At13_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At13_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At22_bound = "skip" +#$bound$#ML_BSSN_O2::At22_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At22_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At22_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At23_bound = "skip" +#$bound$#ML_BSSN_O2::At23_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At23_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At23_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::At33_bound = "skip" +#$bound$#ML_BSSN_O2::At33_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::At33_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::At33_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::A_bound = "skip" +#$bound$#ML_BSSN_O2::A_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::A_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::A_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::B1_bound = "skip" +#$bound$#ML_BSSN_O2::B1_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::B1_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::B1_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::B2_bound = "skip" +#$bound$#ML_BSSN_O2::B2_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::B2_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::B2_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::B3_bound = "skip" +#$bound$#ML_BSSN_O2::B3_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::B3_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::B3_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::Xt1_bound = "skip" +#$bound$#ML_BSSN_O2::Xt1_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::Xt1_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::Xt1_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::Xt2_bound = "skip" +#$bound$#ML_BSSN_O2::Xt2_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::Xt2_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::Xt2_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::Xt3_bound = "skip" +#$bound$#ML_BSSN_O2::Xt3_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::Xt3_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::Xt3_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::alpha_bound = "skip" +#$bound$#ML_BSSN_O2::alpha_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::alpha_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::alpha_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::phi_bound = "skip" +#$bound$#ML_BSSN_O2::phi_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::phi_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::phi_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt11_bound = "skip" +#$bound$#ML_BSSN_O2::gt11_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt11_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt11_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt12_bound = "skip" +#$bound$#ML_BSSN_O2::gt12_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt12_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt12_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt13_bound = "skip" +#$bound$#ML_BSSN_O2::gt13_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt13_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt13_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt22_bound = "skip" +#$bound$#ML_BSSN_O2::gt22_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt22_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt22_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt23_bound = "skip" +#$bound$#ML_BSSN_O2::gt23_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt23_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt23_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::gt33_bound = "skip" +#$bound$#ML_BSSN_O2::gt33_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::gt33_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::gt33_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::beta1_bound = "skip" +#$bound$#ML_BSSN_O2::beta1_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::beta1_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::beta1_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::beta2_bound = "skip" +#$bound$#ML_BSSN_O2::beta2_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::beta2_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::beta2_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::beta3_bound = "skip" +#$bound$#ML_BSSN_O2::beta3_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::beta3_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::beta3_bound_scalar = 0.0 + +#$bound$#ML_BSSN_O2::trK_bound = "skip" +#$bound$#ML_BSSN_O2::trK_bound_speed = 1.0 +#$bound$#ML_BSSN_O2::trK_bound_limit = 0.0 +#$bound$#ML_BSSN_O2::trK_bound_scalar = 0.0 + +*/ + diff --git a/ML_BSSN_O2/src/Differencing.h b/ML_BSSN_O2/src/Differencing.h new file mode 100644 index 0000000..ba07758 --- /dev/null +++ b/ML_BSSN_O2/src/Differencing.h @@ -0,0 +1,18 @@ +#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) +#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) +#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) +#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) +#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) +#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) +#define PDupwindNth1(u,i,j,k) (pm1o2dx*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(2*dir1)+dj*(0)+dk*(0)] - 4*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u,i,j,k) (pm1o2dy*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(2*dir2)+dk*(0)] - 4*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u,i,j,k) (pm1o2dz*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(2*dir3)] - 4*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.c b/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.c new file mode 100644 index 0000000..1a98f25 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.c @@ -0,0 +1,223 @@ +/* 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_Minkowski_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_Minkowski_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_Minkowski_calc_every != ML_BSSN_O2_Minkowski_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_Minkowski, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); + + CCTK_REAL const gt11L = 1; + + CCTK_REAL const gt12L = 0; + + CCTK_REAL const gt13L = 0; + + CCTK_REAL const gt22L = 1; + + CCTK_REAL const gt23L = 0; + + CCTK_REAL const gt33L = 1; + + CCTK_REAL const trKL = 0; + + CCTK_REAL const At11L = 0; + + CCTK_REAL const At12L = 0; + + CCTK_REAL const At13L = 0; + + CCTK_REAL const At22L = 0; + + CCTK_REAL const At23L = 0; + + CCTK_REAL const At33L = 0; + + CCTK_REAL const Xt1L = 0; + + CCTK_REAL const Xt2L = 0; + + CCTK_REAL const Xt3L = 0; + + CCTK_REAL const alphaL = 1; + + CCTK_REAL const AL = 0; + + CCTK_REAL const beta1L = 0; + + CCTK_REAL const beta2L = 0; + + CCTK_REAL const beta3L = 0; + + CCTK_REAL const B1L = 0; + + CCTK_REAL const B2L = 0; + + CCTK_REAL const B3L = 0; + + + /* Copy local copies back to grid functions */ + A[index] = AL; + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + B1[index] = B1L; + B2[index] = B2L; + B3[index] = B3L; + beta1[index] = beta1L; + beta2[index] = beta2L; + beta3[index] = beta3L; + gt11[index] = gt11L; + gt12[index] = gt12L; + gt13[index] = gt13L; + gt22[index] = gt22L; + gt23[index] = gt23L; + gt33[index] = gt33L; + phi[index] = phiL; + trK[index] = trKL; + Xt1[index] = Xt1L; + Xt2[index] = Xt2L; + Xt3[index] = Xt3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_Minkowski); +} + +void ML_BSSN_O2_Minkowski(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_Minkowski_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHS.c new file mode 100644 index 0000000..1ee4dac --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHS.c @@ -0,0 +1,1157 @@ +/* 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_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 */ + + /* 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_RHS_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHS_calc_every != ML_BSSN_O2_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 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_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 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 Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = 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 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 S1 = INITVALUE, S2 = INITVALUE, S3 = 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 B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL etaL = 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, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = 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 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 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 B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const etaL = eta[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 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); + + /* 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 Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + 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 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* + (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + + 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + + 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + + gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + + 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - + gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + + Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xtn1) + + Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xtn1) + + Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + + 2*gt11L*Gt133*gtu31 + gt13L*Xtn1) + gt12L*Gt212*Xtn2 + gt13L*Gt312*Xtn2 + + Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + + 6*Gt113*gt11L*gtu32 + gt11L*Xtn2) + Gt113*gt11L*Xtn3 + + Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xtn3) + + Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + + 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xtn3) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + + 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + + 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + + Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + + Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + + Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + + gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + + gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + + gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + + gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + + Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + + gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + + gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + + gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); + + CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - + 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - + gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xtn1 + + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn1 + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xtn2 + + (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xtn2 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn3 + + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn3 + + 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + + Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + + Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + + Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + + gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + + gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + + gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + + 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + + gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + + (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + + Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + + Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + + Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + + gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + + Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + + gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + + Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + + Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + + 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + + gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + + Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + + gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + + gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + + 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + + gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + + Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + + gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + + gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + + 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + + Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + + Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + + 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + + Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + + Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + + Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + + gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + + gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + + 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + + Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + + Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); + + CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - + 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn1 + + (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xtn1 + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn2 + + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xtn3 + + (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xtn3 + + 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + + Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + + Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + + gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + + Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) + *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + + Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + + gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + + Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + + gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + + 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + + gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + + gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + + 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + + gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + + gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + + 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + + 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + + Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + + 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + + 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + + Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + + Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + + Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + + 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + + Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + + gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + + gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + + 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + + 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + + gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + + Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + + 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + + Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + + gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + + Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + + gt13L*SQR(Gt333))); + + CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + + gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + + gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + + 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + + gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + + 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + + gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + + gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + + gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + + 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + + 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xtn1 + + Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + + 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xtn1) + + Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + + 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + + gt23L*Xtn1) + Gt122*gt12L*Xtn2 + Gt222*gt22L*Xtn2 + gt23L*Gt322*Xtn2 + Gt123*gt12L*Xtn3 + Gt223*gt22L*Xtn3 + + gt23L*Gt323*Xtn3 + gt11L*gtu11*SQR(Gt112) + 2* + (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + + Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + + Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + + Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + + Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + + Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + + Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + + gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + + 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); + + CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn1 + + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn1 + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn2 + + (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xtn3 + + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn3 + + 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + + 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + + Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + + Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + + Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + + (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + + Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + + Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + + Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + + Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + + gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + + 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + + Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + + 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + + Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + + 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + + gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + + 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + + gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + + Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + + 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + + 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + + 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + + Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + + gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + + Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + + Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + + Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + + gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* + (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + + Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + + Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + + Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + + Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + + 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + + Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + + gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + + Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + + gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + + Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + + Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + + gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); + + CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + + 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + + gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - + gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - + PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + + gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + + 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xtn1 + Gt213*gt23L*Xtn1 + + Gt313*gt33L*Xtn1 + Gt123*gt13L*Xtn2 + Gt223*gt23L*Xtn2 + Gt323*gt33L*Xtn2 + Gt133*gt13L*Xtn3 + Gt333*gt33L*Xtn3 + + Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xtn3) + + gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + + 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + + 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + + Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + + Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + + Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + + Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + + Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + + Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + + Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + + Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + + gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + + Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + + Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + + Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + + Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + + gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + + gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); + + CCTK_REAL 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 Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL const trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + eTyzL*gu32) + eTzzL*gu33; + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + + PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* + IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + + PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + + gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + + PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + + gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + + gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + + PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + + gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + + gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + + PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + + gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + + PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + + gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + + gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + + PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + + 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; + + CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + + gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + + PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + + gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + + 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - + ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - + 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); + + CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + + gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + + 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - + ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - + 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); + + CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + + PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + + gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - + 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + + 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - + ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - + 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); + + 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); + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + CCTK_REAL const B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL const B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL const B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; + + + /* Copy local copies back to grid functions */ + alpharhs[index] = alpharhsL; + Arhs[index] = ArhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; + B1rhs[index] = B1rhsL; + B2rhs[index] = B2rhsL; + B3rhs[index] = B3rhsL; + beta1rhs[index] = beta1rhsL; + beta2rhs[index] = beta2rhsL; + beta3rhs[index] = beta3rhsL; + gt11rhs[index] = gt11rhsL; + gt12rhs[index] = gt12rhsL; + gt13rhs[index] = gt13rhsL; + gt22rhs[index] = gt22rhsL; + gt23rhs[index] = gt23rhsL; + gt33rhs[index] = gt33rhsL; + phirhs[index] = phirhsL; + trKrhs[index] = trKrhsL; + Xt1rhs[index] = Xt1rhsL; + Xt2rhs[index] = Xt2rhsL; + Xt3rhs[index] = Xt3rhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_RHS); +} + +void ML_BSSN_O2_RHS(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c new file mode 100644 index 0000000..29cef52 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c @@ -0,0 +1,546 @@ +/* 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_RHS1_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_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHS1_calc_every != ML_BSSN_O2_RHS1_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_RHS1, + 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 Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; + // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi3 = INITVALUE; + // CCTK_REAL detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL fac1 = 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 gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL etaL = 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, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1alpha = INITVALUE; + // CCTK_REAL PDstandardNth2alpha = INITVALUE; + // CCTK_REAL PDstandardNth3alpha = 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 PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL PDstandardNth1phi = INITVALUE; + // CCTK_REAL PDstandardNth2phi = INITVALUE; + // CCTK_REAL PDstandardNth3phi = INITVALUE; + // CCTK_REAL PDstandardNth1trK = INITVALUE; + // CCTK_REAL PDstandardNth2trK = INITVALUE; + // CCTK_REAL PDstandardNth3trK = INITVALUE; + + /* Assign local copies of grid functions */ + 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 B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const etaL = eta[index]; + 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 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 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 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 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 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 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 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 PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, 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 Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + 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 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 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 Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL const S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + + PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* + IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + + PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + + gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + + PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + + gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + + gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + + PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + + gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + + gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); + + CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + + PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + + gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + + PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + + gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + + gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); + + CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + + PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + + 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; + + CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + + gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + + PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + + gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + + 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - + ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - + 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); + + CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + + gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + + 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - + ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - + 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); + + CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + + PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + + gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - + 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + + 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - + ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - + 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); + + CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + CCTK_REAL const B1rhsL = -(B1L*etaL) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + + (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + + (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL const B2rhsL = -(B2L*etaL) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + + (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + + (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL const B3rhsL = -(B3L*etaL) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + + (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + + (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; + + + /* Copy local copies back to grid functions */ + 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; + Xt1rhs[index] = Xt1rhsL; + Xt2rhs[index] = Xt2rhsL; + Xt3rhs[index] = Xt3rhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_RHS1); +} + +void ML_BSSN_O2_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS1_Body); +} 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); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c new file mode 100644 index 0000000..ae86dc2 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c @@ -0,0 +1,323 @@ +/* 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_RHSRadiativeBoundary_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_RHSRadiativeBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHSRadiativeBoundary_calc_every != ML_BSSN_O2_RHSRadiativeBoundary_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_RHSRadiativeBoundary, + 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 detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + // CCTK_REAL em4phi = 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 nlen = INITVALUE, nlen2 = INITVALUE; + // CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; + // CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; + // CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; + // CCTK_REAL vg = 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 B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; + // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; + // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* 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 B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + 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) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + int const dir1 = Sign(normal[0]); + + int const dir2 = Sign(normal[1]); + + int const dir3 = Sign(normal[2]); + + 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 em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + 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 nn1 = normal[0]; + + CCTK_REAL const nn2 = normal[1]; + + CCTK_REAL const nn3 = normal[2]; + + CCTK_REAL const nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + + CCTK_REAL const nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + + CCTK_REAL const nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + + CCTK_REAL const nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + + CCTK_REAL const nlen = pow(nlen2,0.5); + + CCTK_REAL const su1 = nu1*INV(nlen); + + CCTK_REAL const su2 = nu2*INV(nlen); + + CCTK_REAL const su3 = nu3*INV(nlen); + + CCTK_REAL const vg = pow(harmonicF,0.5); + + CCTK_REAL const phirhsL = -((PDonesided1(phi, i, j, k)*su1 + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + + CCTK_REAL const gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + + CCTK_REAL const gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + + CCTK_REAL const gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + + CCTK_REAL const gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + + CCTK_REAL const gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + + CCTK_REAL const gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + + CCTK_REAL const trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + + CCTK_REAL const At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + + CCTK_REAL const At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + + CCTK_REAL const At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + + CCTK_REAL const At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + + CCTK_REAL const At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + + CCTK_REAL const At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + + CCTK_REAL const Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + + CCTK_REAL const Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + + CCTK_REAL const Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + + CCTK_REAL const alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + PDonesided2(alpha, i, j, k)*su2 + + PDonesided3(alpha, i, j, k)*su3)*vg); + + CCTK_REAL const ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + + CCTK_REAL const beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - PDonesided2(beta1, i, j, k)*su2 - + PDonesided3(beta1, i, j, k)*su3; + + CCTK_REAL const beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - PDonesided2(beta2, i, j, k)*su2 - + PDonesided3(beta2, i, j, k)*su3; + + CCTK_REAL const beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - PDonesided2(beta3, i, j, k)*su2 - + PDonesided3(beta3, i, j, k)*su3; + + CCTK_REAL const B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + + CCTK_REAL const B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + + CCTK_REAL const B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; + + + /* 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; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_RHSRadiativeBoundary); +} + +void ML_BSSN_O2_RHSRadiativeBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O2_RHSRadiativeBoundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.c new file mode 100644 index 0000000..b54bc9a --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.c @@ -0,0 +1,223 @@ +/* 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_RHSStaticBoundary_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_RHSStaticBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHSStaticBoundary_calc_every != ML_BSSN_O2_RHSStaticBoundary_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_RHSStaticBoundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL alpharhsL = INITVALUE; + // CCTK_REAL ArhsL = INITVALUE; + // CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; + // CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; + // CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; + // CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; + // CCTK_REAL phirhsL = INITVALUE; + // CCTK_REAL trKrhsL = INITVALUE; + // CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const phirhsL = 0; + + CCTK_REAL const gt11rhsL = 0; + + CCTK_REAL const gt12rhsL = 0; + + CCTK_REAL const gt13rhsL = 0; + + CCTK_REAL const gt22rhsL = 0; + + CCTK_REAL const gt23rhsL = 0; + + CCTK_REAL const gt33rhsL = 0; + + CCTK_REAL const trKrhsL = 0; + + CCTK_REAL const At11rhsL = 0; + + CCTK_REAL const At12rhsL = 0; + + CCTK_REAL const At13rhsL = 0; + + CCTK_REAL const At22rhsL = 0; + + CCTK_REAL const At23rhsL = 0; + + CCTK_REAL const At33rhsL = 0; + + CCTK_REAL const Xt1rhsL = 0; + + CCTK_REAL const Xt2rhsL = 0; + + CCTK_REAL const Xt3rhsL = 0; + + CCTK_REAL const alpharhsL = 0; + + CCTK_REAL const ArhsL = 0; + + CCTK_REAL const beta1rhsL = 0; + + CCTK_REAL const beta2rhsL = 0; + + CCTK_REAL const beta3rhsL = 0; + + CCTK_REAL const B1rhsL = 0; + + CCTK_REAL const B2rhsL = 0; + + CCTK_REAL const B3rhsL = 0; + + + /* 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; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_RHSStaticBoundary); +} + +void ML_BSSN_O2_RHSStaticBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O2_RHSStaticBoundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_boundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_boundary.c new file mode 100644 index 0000000..5bded46 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_boundary.c @@ -0,0 +1,223 @@ +/* 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_boundary_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_boundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_boundary_calc_every != ML_BSSN_O2_boundary_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_boundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const phiL = IfThen(conformalMethod,1,0); + + CCTK_REAL const gt11L = 1; + + CCTK_REAL const gt12L = 0; + + CCTK_REAL const gt13L = 0; + + CCTK_REAL const gt22L = 1; + + CCTK_REAL const gt23L = 0; + + CCTK_REAL const gt33L = 1; + + CCTK_REAL const trKL = 0; + + CCTK_REAL const At11L = 0; + + CCTK_REAL const At12L = 0; + + CCTK_REAL const At13L = 0; + + CCTK_REAL const At22L = 0; + + CCTK_REAL const At23L = 0; + + CCTK_REAL const At33L = 0; + + CCTK_REAL const Xt1L = 0; + + CCTK_REAL const Xt2L = 0; + + CCTK_REAL const Xt3L = 0; + + CCTK_REAL const alphaL = 1; + + CCTK_REAL const AL = 0; + + CCTK_REAL const beta1L = 0; + + CCTK_REAL const beta2L = 0; + + CCTK_REAL const beta3L = 0; + + CCTK_REAL const B1L = 0; + + CCTK_REAL const B2L = 0; + + CCTK_REAL const B3L = 0; + + + /* Copy local copies back to grid functions */ + A[index] = AL; + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + B1[index] = B1L; + B2[index] = B2L; + B3[index] = B3L; + beta1[index] = beta1L; + beta2[index] = beta2L; + beta3[index] = beta3L; + gt11[index] = gt11L; + gt12[index] = gt12L; + gt13[index] = gt13L; + gt22[index] = gt22L; + gt23[index] = gt23L; + gt33[index] = gt33L; + phi[index] = phiL; + trK[index] = trKL; + Xt1[index] = Xt1L; + Xt2[index] = Xt2L; + Xt3[index] = Xt3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_boundary); +} + +void ML_BSSN_O2_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_O2_boundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_constraints.c b/ML_BSSN_O2/src/ML_BSSN_O2_constraints.c new file mode 100644 index 0000000..4a653a6 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_constraints.c @@ -0,0 +1,888 @@ +/* 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_constraints_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* Declare finite differencing variables */ + + /* 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_constraints_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_constraints_calc_every != ML_BSSN_O2_constraints_calc_offset) + { + return; + } + + /* Include user-supplied include files */ + + /* Initialise finite differencing variables */ + CCTK_REAL const dx = CCTK_DELTA_SPACE(0); + CCTK_REAL const dy = CCTK_DELTA_SPACE(1); + CCTK_REAL const dz = CCTK_DELTA_SPACE(2); + int const di = 1; + int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); + int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); + CCTK_REAL const dxi = 1.0 / dx; + CCTK_REAL const dyi = 1.0 / dy; + CCTK_REAL const dzi = 1.0 / dz; + CCTK_REAL const khalf = 0.5; + CCTK_REAL const kthird = 1/3.0; + CCTK_REAL const ktwothird = 2.0/3.0; + CCTK_REAL const kfourthird = 4.0/3.0; + CCTK_REAL const keightthird = 8.0/3.0; + CCTK_REAL const hdxi = 0.5 * dxi; + CCTK_REAL const hdyi = 0.5 * dyi; + CCTK_REAL const hdzi = 0.5 * dzi; + + /* Initialize predefined quantities */ + CCTK_REAL const 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_constraints, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + // int 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 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 e4phi = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL fac1 = INITVALUE, fac2 = 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 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 S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; + // CCTK_REAL trR = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL cAL = INITVALUE; + // CCTK_REAL cSL = INITVALUE; + // CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = 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 HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1At11 = INITVALUE; + // CCTK_REAL PDstandardNth2At11 = INITVALUE; + // CCTK_REAL PDstandardNth3At11 = INITVALUE; + // CCTK_REAL PDstandardNth1At12 = INITVALUE; + // CCTK_REAL PDstandardNth2At12 = INITVALUE; + // CCTK_REAL PDstandardNth3At12 = INITVALUE; + // CCTK_REAL PDstandardNth1At13 = INITVALUE; + // CCTK_REAL PDstandardNth2At13 = INITVALUE; + // CCTK_REAL PDstandardNth3At13 = INITVALUE; + // CCTK_REAL PDstandardNth1At22 = INITVALUE; + // CCTK_REAL PDstandardNth2At22 = INITVALUE; + // CCTK_REAL PDstandardNth3At22 = INITVALUE; + // CCTK_REAL PDstandardNth1At23 = INITVALUE; + // CCTK_REAL PDstandardNth2At23 = INITVALUE; + // CCTK_REAL PDstandardNth3At23 = INITVALUE; + // CCTK_REAL PDstandardNth1At33 = INITVALUE; + // CCTK_REAL PDstandardNth2At33 = INITVALUE; + // CCTK_REAL PDstandardNth3At33 = 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 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 PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, 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); + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + 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 Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL const Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* + (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + + 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + + 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + + gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + + 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - + gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + + Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xt1L) + + Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xt1L) + + Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + + 2*gt11L*Gt133*gtu31 + gt13L*Xt1L) + gt12L*Gt212*Xt2L + gt13L*Gt312*Xt2L + + Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + + 6*Gt113*gt11L*gtu32 + gt11L*Xt2L) + Gt113*gt11L*Xt3L + + Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xt3L) + + Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + + 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xt3L) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + + 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + + 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + + Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + + Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + + Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + + gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + + gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + + gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + + gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + + Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + + gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + + gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + + gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); + + CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - + 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - + gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xt1L + + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt1L + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xt2L + + (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xt2L + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt3L + + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt3L + + 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + + Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + + Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + + Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + + gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + + gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + + gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + + 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + + gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + + (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + + Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + + Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + + Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + + gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + + Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + + gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + + Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + + Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + + 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + + gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + + Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + + gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + + gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + + 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + + gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + + Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + + gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + + gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + + 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + + Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + + Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + + 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + + Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + + Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + + Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + + gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + + gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + + 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + + Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + + Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); + + CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - + 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt1L + + (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xt1L + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt2L + + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt2L + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xt3L + + (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xt3L + + 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + + Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + + Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + + gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + + Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) + *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + + Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + + gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + + Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + + gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + + 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + + gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + + gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + + 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + + gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + + gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + + 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + + 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + + Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + + 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + + 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + + Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + + Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + + Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + + 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + + Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + + gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + + gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + + 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + + 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + + gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + + Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + + 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + + Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + + gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + + Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + + gt13L*SQR(Gt333))); + + CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + + gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + + gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + + 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + + gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + + 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + + gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + + gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + + gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + + 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + + 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xt1L + + Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + + 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xt1L) + + Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + + 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + + gt23L*Xt1L) + Gt122*gt12L*Xt2L + Gt222*gt22L*Xt2L + gt23L*Gt322*Xt2L + Gt123*gt12L*Xt3L + Gt223*gt22L*Xt3L + + gt23L*Gt323*Xt3L + gt11L*gtu11*SQR(Gt112) + 2* + (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + + Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + + Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + + Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + + Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + + Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + + Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + + gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + + 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); + + CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt1L + + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt1L + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xt2L + + (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xt2L + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xt3L + + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt3L + + 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + + 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + + Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + + Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + + Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + + (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + + Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + + Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + + Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + + Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + + gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + + 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + + Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + + 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + + Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + + 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + + gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + + 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + + gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + + Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + + 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + + 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + + 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + + Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + + gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + + Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + + Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + + Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + + gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* + (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + + Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + + Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + + Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + + Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + + 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + + Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + + gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + + Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + + gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + + Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + + Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + + gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); + + CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + + 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + + gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - + gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - + PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + + gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + + 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xt1L + Gt213*gt23L*Xt1L + + Gt313*gt33L*Xt1L + Gt123*gt13L*Xt2L + Gt223*gt23L*Xt2L + Gt323*gt33L*Xt2L + Gt133*gt13L*Xt3L + Gt333*gt33L*Xt3L + + Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xt3L) + + gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + + 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + + 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + + Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + + Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + + Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + + Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + + Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + + Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + + Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + + Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + + gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + + Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + + Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + + Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + + Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + + gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + + gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); + + CCTK_REAL 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 e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const em4phi = INV(e4phi); + + 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 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 trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + + 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 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL const HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - 50.26548245743669181540229413247204614715*rho + trR - + 1.*(SQR(Atm11) + SQR(Atm22) + SQR(Atm33)) + 0.6666666666666666666666666666666666666667*SQR(trKL); + + CCTK_REAL const M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + At11L*Gt123*gtu32) + + At12L*((6.*cdphi1 - 1.*Gt111)*gtu21 - 3.*Gt213*gtu31 + 6.*(cdphi2*gtu22 + cdphi3*gtu32) - 1.*Gt233*gtu33) - + 1.*((At22L*Gt212 + At12L*(Gt112 + Gt222) + At23L*Gt312 + At13L*Gt322)*gtu22 + + At13L*(Gt111*gtu31 + Gt112*gtu32 + Gt113*gtu33)) + + At11L*((6.*cdphi1 - 2.*Gt111)*gtu11 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 1.*(Gt122*gtu22 + Gt133*gtu33)) + + gtu11*PDstandardNth1At11 - 0.6666666666666666666666666666666666666667*PDstandardNth1trK + + gtu21*(-1.*(At22L*Gt211 + At23L*Gt311) - 3.*(At11L*Gt112 + At12L*Gt212 + At13L*Gt312) + PDstandardNth1At12 + + PDstandardNth2At11) + gtu22*PDstandardNth2At12 + + gtu31*(-3.*At11L*Gt113 - 1.*(At23L*Gt211 + At33L*Gt311) + At13L*(6.*cdphi1 - 3.*Gt313) + PDstandardNth1At13 + + PDstandardNth3At11) + gtu32*(-2.*At12L*Gt223 - + 1.*(At12L*Gt113 + At22L*Gt213 + At33L*Gt312 + At23L*(Gt212 + Gt313)) + At13L*(6.*cdphi2 - 2.*Gt323) + + PDstandardNth2At13 + PDstandardNth3At12) + + gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - + 25.13274122871834590770114706623602307358*S1; + + CCTK_REAL const M2L = At12L*((6.*cdphi1 - 1.*Gt111)*gtu11 - 2.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - + 1.*Gt133*gtu33) + At22L*((6.*cdphi2 - 2.*Gt222)*gtu22 - 2.*Gt213*gtu31 + 6.*cdphi3*gtu32 - 1.*Gt233*gtu33) + + At23L*(-2.*Gt322*gtu22 - 1.*Gt333*gtu33 + 6.*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33)) - + 1.*((At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312)*gtu11 + + Gt122*(At11L*gtu21 + At13L*gtu32) + (At23L*Gt223 + At33L*Gt323)*gtu33 + At13L*(Gt112*gtu31 + Gt123*gtu33)) + + gtu11*PDstandardNth1At12 + gtu21*(At22L*(6.*cdphi1 - 3.*Gt212) + At12L*(-3.*Gt112 - 1.*Gt222) - 3.*At23L*Gt312 - + 1.*At13L*Gt322 + PDstandardNth1At22 + PDstandardNth2At12) + gtu22*PDstandardNth2At22 - + 0.6666666666666666666666666666666666666667*PDstandardNth2trK + + gtu31*(At12L*(-2.*Gt113 - 1.*Gt223) - 2.*At23L*Gt313 - 1.*(At11L*Gt123 + At23L*Gt212 + At33L*Gt312 + At13L*Gt323) + + PDstandardNth1At23 + PDstandardNth3At12) + + gtu32*(-1.*(At23L*Gt222 + At33L*Gt322) - 3.*(At22L*Gt223 + At23L*Gt323) + PDstandardNth2At23 + + PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; + + CCTK_REAL const M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311)*gtu11 + + (At22L*Gt223 + At33L*Gt322 + At23L*Gt323)*gtu22 + At11L*Gt133*gtu31 + + At12L*(Gt113*gtu21 + Gt123*gtu22 + Gt133*gtu32)) + + At13L*((6.*cdphi1 - 1.*(Gt111 + Gt313))*gtu11 - 1.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - + 3.*Gt123*gtu32 - 2.*Gt133*gtu33) + At23L*((6.*cdphi2 - 1.*Gt222)*gtu22 - 3.*Gt213*gtu31 + 6.*cdphi3*gtu32 - + 2.*Gt233*gtu33) + gtu11*PDstandardNth1At13 + + gtu21*(-2.*(At13L*Gt112 + At33L*Gt312) + At23L*(6.*cdphi1 - 2.*Gt212 - 1.*Gt313) - + 1.*(At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At13L*Gt323) + PDstandardNth1At23 + PDstandardNth2At13) + + gtu22*PDstandardNth2At23 + gtu31*(-1.*At12L*Gt233 + At33L*(6.*cdphi1 - 3.*Gt313) + At13L*(-3.*Gt113 - 1.*Gt333) + + PDstandardNth1At33 + PDstandardNth3At13) + + gtu32*(-1.*At22L*Gt233 + At33L*(6.*cdphi2 - 3.*Gt323) + At23L*(-3.*Gt223 - 1.*Gt333) + PDstandardNth2At33 + + PDstandardNth3At23) + gtu33*(At33L*(6.*cdphi3 - 2.*Gt333) + PDstandardNth3At33) - + 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; + + CCTK_REAL const cSL = Log(detgt); + + CCTK_REAL const cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; + + CCTK_REAL const cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; + + CCTK_REAL const cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; + + CCTK_REAL const cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + + + /* Copy local copies back to grid functions */ + cA[index] = cAL; + cS[index] = cSL; + cXt1[index] = cXt1L; + cXt2[index] = cXt2L; + cXt3[index] = cXt3L; + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_constraints); +} + +void ML_BSSN_O2_constraints(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_constraints_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.c new file mode 100644 index 0000000..a626f8f --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.c @@ -0,0 +1,153 @@ +/* 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_constraints_boundary_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_constraints_boundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_constraints_boundary_calc_every != ML_BSSN_O2_constraints_boundary_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_constraints_boundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL HL = INITVALUE; + // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const HL = 0; + + CCTK_REAL const M1L = 0; + + CCTK_REAL const M2L = 0; + + CCTK_REAL const M3L = 0; + + + /* Copy local copies back to grid functions */ + H[index] = HL; + M1[index] = M1L; + M2[index] = M2L; + M3[index] = M3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_constraints_boundary); +} + +void ML_BSSN_O2_constraints_boundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_O2_constraints_boundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c new file mode 100644 index 0000000..c0956e9 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c @@ -0,0 +1,263 @@ +/* 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_convertFromADMBase_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_convertFromADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertFromADMBase_calc_every != ML_BSSN_O2_convertFromADMBase_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_convertFromADMBase, + 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 detg = INITVALUE; + // CCTK_REAL em4phi = INITVALUE; + // CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; + // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const alpL = alp[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const gxxL = gxx[index]; + CCTK_REAL const gxyL = gxy[index]; + CCTK_REAL const gxzL = gxz[index]; + CCTK_REAL const gyyL = gyy[index]; + CCTK_REAL const gyzL = gyz[index]; + CCTK_REAL const gzzL = gzz[index]; + CCTK_REAL const kxxL = kxx[index]; + CCTK_REAL const kxyL = kxy[index]; + CCTK_REAL const kxzL = kxz[index]; + CCTK_REAL const kyyL = kyy[index]; + CCTK_REAL const kyzL = kyz[index]; + CCTK_REAL const kzzL = kzz[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const g11 = gxxL; + + CCTK_REAL const g12 = gxyL; + + CCTK_REAL const g13 = gxzL; + + CCTK_REAL const g22 = gyyL; + + CCTK_REAL const g23 = gyzL; + + CCTK_REAL const g33 = gzzL; + + CCTK_REAL const detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); + + CCTK_REAL const gu11 = INV(detg)*(g22*g33 - SQR(g23)); + + CCTK_REAL const gu21 = (g13*g23 - g12*g33)*INV(detg); + + CCTK_REAL const gu31 = (-(g13*g22) + g12*g23)*INV(detg); + + CCTK_REAL const gu22 = INV(detg)*(g11*g33 - SQR(g13)); + + CCTK_REAL const gu32 = (g12*g13 - g11*g23)*INV(detg); + + CCTK_REAL const gu33 = INV(detg)*(g11*g22 - SQR(g12)); + + CCTK_REAL const phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + + CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL const gt11L = em4phi*g11; + + CCTK_REAL const gt12L = em4phi*g12; + + CCTK_REAL const gt13L = em4phi*g13; + + CCTK_REAL const gt22L = em4phi*g22; + + CCTK_REAL const gt23L = em4phi*g23; + + CCTK_REAL const gt33L = em4phi*g33; + + CCTK_REAL const trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + gu33*kzzL; + + CCTK_REAL const At11L = em4phi*(kxxL - g11*kthird*trKL); + + CCTK_REAL const At12L = em4phi*(kxyL - g12*kthird*trKL); + + CCTK_REAL const At13L = em4phi*(kxzL - g13*kthird*trKL); + + CCTK_REAL const At22L = em4phi*(kyyL - g22*kthird*trKL); + + CCTK_REAL const At23L = em4phi*(kyzL - g23*kthird*trKL); + + CCTK_REAL const At33L = em4phi*(kzzL - g33*kthird*trKL); + + CCTK_REAL const alphaL = alpL; + + CCTK_REAL const beta1L = betaxL; + + CCTK_REAL const beta2L = betayL; + + CCTK_REAL const beta3L = betazL; + + + /* Copy local copies back to grid functions */ + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + beta1[index] = beta1L; + beta2[index] = beta2L; + beta3[index] = beta3L; + gt11[index] = gt11L; + gt12[index] = gt12L; + gt13[index] = gt13L; + gt22[index] = gt22L; + gt23[index] = gt23L; + gt33[index] = gt33L; + phi[index] = phiL; + trK[index] = trKL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBase); +} + +void ML_BSSN_O2_convertFromADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_convertFromADMBase_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c new file mode 100644 index 0000000..ef2ad48 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c @@ -0,0 +1,321 @@ +/* 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_convertFromADMBaseGamma_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_convertFromADMBaseGamma_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertFromADMBaseGamma_calc_every != ML_BSSN_O2_convertFromADMBaseGamma_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_convertFromADMBaseGamma, + 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 detgt = INITVALUE; + // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = 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 gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + // CCTK_REAL PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL PDstandardNth3gt33 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const betaxL = betax[index]; + CCTK_REAL const betayL = betay[index]; + CCTK_REAL const betazL = betaz[index]; + CCTK_REAL const dtalpL = dtalp[index]; + CCTK_REAL const dtbetaxL = dtbetax[index]; + CCTK_REAL const dtbetayL = dtbetay[index]; + CCTK_REAL const dtbetazL = dtbetaz[index]; + 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]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + 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 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 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 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 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 PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, 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 Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL const Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL const Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL const Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL const AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); + + CCTK_REAL const B1L = 6*IfThen(ShiftGammaCoeff != 0,dtbetaxL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth1(betax, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetaxL - PDupwindNth2(betax, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); + + CCTK_REAL const B2L = 6*IfThen(ShiftGammaCoeff != 0,dtbetayL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth1(betay, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetayL - PDupwindNth2(betay, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); + + CCTK_REAL const B3L = 6*IfThen(ShiftGammaCoeff != 0,dtbetazL*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth1(betaz, i, j, k)*beta1L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, + (dtbetazL - PDupwindNth2(betaz, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, k)*beta3L*ShiftAdvectionCoeff)* + INV(ShiftGammaCoeff),0); + + + /* Copy local copies back to grid functions */ + A[index] = AL; + B1[index] = B1L; + B2[index] = B2L; + B3[index] = B3L; + Xt1[index] = Xt1L; + Xt2[index] = Xt2L; + Xt3[index] = Xt3L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBaseGamma); +} + +void ML_BSSN_O2_convertFromADMBaseGamma(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertFromADMBaseGamma_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.c new file mode 100644 index 0000000..bbc6ce3 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.c @@ -0,0 +1,230 @@ +/* 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_convertToADMBase_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_convertToADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertToADMBase_calc_every != ML_BSSN_O2_convertToADMBase_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_convertToADMBase, + 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 e4phi = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alpL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL betaxL = INITVALUE; + // CCTK_REAL betayL = INITVALUE; + // CCTK_REAL betazL = INITVALUE; + // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + // CCTK_REAL gxxL = INITVALUE; + // CCTK_REAL gxyL = INITVALUE; + // CCTK_REAL gxzL = INITVALUE; + // CCTK_REAL gyyL = INITVALUE; + // CCTK_REAL gyzL = INITVALUE; + // CCTK_REAL gzzL = INITVALUE; + // CCTK_REAL kxxL = INITVALUE; + // CCTK_REAL kxyL = INITVALUE; + // CCTK_REAL kxzL = INITVALUE; + // CCTK_REAL kyyL = INITVALUE; + // CCTK_REAL kyzL = INITVALUE; + // CCTK_REAL kzzL = INITVALUE; + // CCTK_REAL phiL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + 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 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]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL const gxxL = e4phi*gt11L; + + CCTK_REAL const gxyL = e4phi*gt12L; + + CCTK_REAL const gxzL = e4phi*gt13L; + + CCTK_REAL const gyyL = e4phi*gt22L; + + CCTK_REAL const gyzL = e4phi*gt23L; + + CCTK_REAL const gzzL = e4phi*gt33L; + + CCTK_REAL const kxxL = At11L*e4phi + gxxL*kthird*trKL; + + CCTK_REAL const kxyL = At12L*e4phi + gxyL*kthird*trKL; + + CCTK_REAL const kxzL = At13L*e4phi + gxzL*kthird*trKL; + + CCTK_REAL const kyyL = At22L*e4phi + gyyL*kthird*trKL; + + CCTK_REAL const kyzL = At23L*e4phi + gyzL*kthird*trKL; + + CCTK_REAL const kzzL = At33L*e4phi + gzzL*kthird*trKL; + + CCTK_REAL const alpL = alphaL; + + CCTK_REAL const betaxL = beta1L; + + CCTK_REAL const betayL = beta2L; + + CCTK_REAL const betazL = beta3L; + + + /* Copy local copies back to grid functions */ + alp[index] = alpL; + betax[index] = betaxL; + betay[index] = betayL; + betaz[index] = betazL; + gxx[index] = gxxL; + gxy[index] = gxyL; + gxz[index] = gxzL; + gyy[index] = gyyL; + gyz[index] = gyzL; + gzz[index] = gzzL; + kxx[index] = kxxL; + kxy[index] = kxyL; + kxz[index] = kxzL; + kyy[index] = kyyL; + kyz[index] = kyzL; + kzz[index] = kzzL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBase); +} + +void ML_BSSN_O2_convertToADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_convertToADMBase_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c new file mode 100644 index 0000000..850d7cd --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c @@ -0,0 +1,181 @@ +/* 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_convertToADMBaseDtLapseShift_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_convertToADMBaseDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_O2_convertToADMBaseDtLapseShift_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_convertToADMBaseDtLapseShift, + 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 dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const beta1L = beta1[index]; + CCTK_REAL const beta2L = beta2[index]; + CCTK_REAL const beta3L = beta3[index]; + CCTK_REAL const trKL = trK[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* 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 dtalpL = (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 dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + + PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL const dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + + PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL const dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + + PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + + /* Copy local copies back to grid functions */ + dtalp[index] = dtalpL; + dtbetax[index] = dtbetaxL; + dtbetay[index] = dtbetayL; + dtbetaz[index] = dtbetazL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShift); +} + +void ML_BSSN_O2_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertToADMBaseDtLapseShift_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c new file mode 100644 index 0000000..772cd6d --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c @@ -0,0 +1,165 @@ +/* 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_convertToADMBaseDtLapseShiftBoundary_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_convertToADMBaseDtLapseShiftBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_calc_every != ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_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_convertToADMBaseDtLapseShiftBoundary, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; + + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; + + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; + + + /* Copy local copies back to grid functions */ + dtalp[index] = dtalpL; + dtbetax[index] = dtbetaxL; + dtbetay[index] = dtbetayL; + dtbetaz[index] = dtbetazL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary); +} + +void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c new file mode 100644 index 0000000..5040fb6 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c @@ -0,0 +1,165 @@ +/* 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_convertToADMBaseFakeDtLapseShift_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_convertToADMBaseFakeDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_calc_every != ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_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_convertToADMBaseFakeDtLapseShift, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL AL = INITVALUE; + // CCTK_REAL alphaL = INITVALUE; + // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; + // CCTK_REAL dtalpL = INITVALUE; + // CCTK_REAL dtbetaxL = INITVALUE; + // CCTK_REAL dtbetayL = INITVALUE; + // CCTK_REAL dtbetazL = INITVALUE; + // CCTK_REAL trKL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const AL = A[index]; + CCTK_REAL const alphaL = alpha[index]; + CCTK_REAL const B1L = B1[index]; + CCTK_REAL const B2L = B2[index]; + CCTK_REAL const B3L = B3[index]; + CCTK_REAL const trKL = trK[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; + + CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; + + CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; + + + /* Copy local copies back to grid functions */ + dtalp[index] = dtalpL; + dtbetax[index] = dtbetaxL; + dtbetay[index] = dtbetayL; + dtbetaz[index] = dtbetazL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseFakeDtLapseShift); +} + +void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_enforce.c b/ML_BSSN_O2/src/ML_BSSN_O2_enforce.c new file mode 100644 index 0000000..ace2fd9 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_enforce.c @@ -0,0 +1,196 @@ +/* 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_enforce_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_enforce_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_enforce_calc_every != ML_BSSN_O2_enforce_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_enforce, + 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 detgt = INITVALUE; + // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; + // CCTK_REAL trAt = INITVALUE; + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE, alpharhsL = 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 gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + 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 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]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + 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 trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + + CCTK_REAL const At11rhsL = At11L - gt11L*kthird*trAt; + + CCTK_REAL const At12rhsL = At12L - gt12L*kthird*trAt; + + CCTK_REAL const At13rhsL = At13L - gt13L*kthird*trAt; + + CCTK_REAL const At22rhsL = At22L - gt22L*kthird*trAt; + + CCTK_REAL const At23rhsL = At23L - gt23L*kthird*trAt; + + CCTK_REAL const At33rhsL = At33L - gt33L*kthird*trAt; + + CCTK_REAL const alpharhsL = fmax(alphaL,MinimumLapse); + + + /* Copy local copies back to grid functions */ + alpharhs[index] = alpharhsL; + At11rhs[index] = At11rhsL; + At12rhs[index] = At12rhsL; + At13rhs[index] = At13rhsL; + At22rhs[index] = At22rhsL; + At23rhs[index] = At23rhsL; + At33rhs[index] = At33rhsL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_enforce); +} + +void ML_BSSN_O2_enforce(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_enforce_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_enforce2.c b/ML_BSSN_O2/src/ML_BSSN_O2_enforce2.c new file mode 100644 index 0000000..fe9cb31 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_enforce2.c @@ -0,0 +1,170 @@ +/* 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_enforce2_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_enforce2_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_enforce2_calc_every != ML_BSSN_O2_enforce2_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_enforce2, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL alphaL = INITVALUE, alpharhsL = 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; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const alpharhsL = alpharhs[index]; + CCTK_REAL const At11rhsL = At11rhs[index]; + CCTK_REAL const At12rhsL = At12rhs[index]; + CCTK_REAL const At13rhsL = At13rhs[index]; + CCTK_REAL const At22rhsL = At22rhs[index]; + CCTK_REAL const At23rhsL = At23rhs[index]; + CCTK_REAL const At33rhsL = At33rhs[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const At11L = At11rhsL; + + CCTK_REAL const At12L = At12rhsL; + + CCTK_REAL const At13L = At13rhsL; + + CCTK_REAL const At22L = At22rhsL; + + CCTK_REAL const At23L = At23rhsL; + + CCTK_REAL const At33L = At33rhsL; + + CCTK_REAL const alphaL = alpharhsL; + + + /* Copy local copies back to grid functions */ + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_enforce2); +} + +void ML_BSSN_O2_enforce2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_enforce2_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverConstant.c b/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverConstant.c new file mode 100644 index 0000000..b8da939 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverConstant.c @@ -0,0 +1,143 @@ +/* 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_setBetaDriverConstant_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_setBetaDriverConstant_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_setBetaDriverConstant_calc_every != ML_BSSN_O2_setBetaDriverConstant_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_setBetaDriverConstant, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL etaL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const etaL = BetaDriver; + + + /* Copy local copies back to grid functions */ + eta[index] = etaL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_setBetaDriverConstant); +} + +void ML_BSSN_O2_setBetaDriverConstant(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_setBetaDriverConstant_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverSpatial.c b/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverSpatial.c new file mode 100644 index 0000000..902f80e --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_setBetaDriverSpatial.c @@ -0,0 +1,145 @@ +/* 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_setBetaDriverSpatial_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_setBetaDriverSpatial_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_setBetaDriverSpatial_calc_every != ML_BSSN_O2_setBetaDriverSpatial_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_setBetaDriverSpatial, + 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 */ + + /* Declare local copies of grid functions */ + // CCTK_REAL etaL = INITVALUE; + // CCTK_REAL rL = INITVALUE; + /* Declare precomputed derivatives*/ + + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL const rL = r[index]; + + /* Assign local copies of subblock grid functions */ + + /* Include user supplied include files */ + + /* Precompute derivatives (new style) */ + + /* Precompute derivatives (old style) */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL const etaL = BetaDriver*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); + + + /* Copy local copies back to grid functions */ + eta[index] = etaL; + + /* Copy local copies back to subblock grid functions */ + } + LC_ENDLOOP3 (ML_BSSN_O2_setBetaDriverSpatial); +} + +void ML_BSSN_O2_setBetaDriverSpatial(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_setBetaDriverSpatial_Body); +} diff --git a/ML_BSSN_O2/src/RegisterMoL.c b/ML_BSSN_O2/src/RegisterMoL.c new file mode 100644 index 0000000..ee7f7b5 --- /dev/null +++ b/ML_BSSN_O2/src/RegisterMoL.c @@ -0,0 +1,41 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" + +void ML_BSSN_O2_RegisterVars(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_INT ierr = 0; + + /* Register all the evolved grid functions with MoL */ + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At11"), CCTK_VarIndex("ML_BSSN_O2::At11rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At12"), CCTK_VarIndex("ML_BSSN_O2::At12rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At13"), CCTK_VarIndex("ML_BSSN_O2::At13rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At22"), CCTK_VarIndex("ML_BSSN_O2::At22rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At23"), CCTK_VarIndex("ML_BSSN_O2::At23rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::At33"), CCTK_VarIndex("ML_BSSN_O2::At33rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::A"), CCTK_VarIndex("ML_BSSN_O2::Arhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::B1"), CCTK_VarIndex("ML_BSSN_O2::B1rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::B2"), CCTK_VarIndex("ML_BSSN_O2::B2rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::B3"), CCTK_VarIndex("ML_BSSN_O2::B3rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::Xt1"), CCTK_VarIndex("ML_BSSN_O2::Xt1rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::Xt2"), CCTK_VarIndex("ML_BSSN_O2::Xt2rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::Xt3"), CCTK_VarIndex("ML_BSSN_O2::Xt3rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::alpha"), CCTK_VarIndex("ML_BSSN_O2::alpharhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::phi"), CCTK_VarIndex("ML_BSSN_O2::phirhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt11"), CCTK_VarIndex("ML_BSSN_O2::gt11rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt12"), CCTK_VarIndex("ML_BSSN_O2::gt12rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt13"), CCTK_VarIndex("ML_BSSN_O2::gt13rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt22"), CCTK_VarIndex("ML_BSSN_O2::gt22rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt23"), CCTK_VarIndex("ML_BSSN_O2::gt23rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::gt33"), CCTK_VarIndex("ML_BSSN_O2::gt33rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::beta1"), CCTK_VarIndex("ML_BSSN_O2::beta1rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::beta2"), CCTK_VarIndex("ML_BSSN_O2::beta2rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::beta3"), CCTK_VarIndex("ML_BSSN_O2::beta3rhs")); + ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_O2::trK"), CCTK_VarIndex("ML_BSSN_O2::trKrhs")); + return; +} diff --git a/ML_BSSN_O2/src/RegisterSymmetries.c b/ML_BSSN_O2/src/RegisterSymmetries.c new file mode 100644 index 0000000..ce4e6be --- /dev/null +++ b/ML_BSSN_O2/src/RegisterSymmetries.c @@ -0,0 +1,194 @@ +/* File produced by Kranc */ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "Symmetry.h" + +void ML_BSSN_O2_RegisterSymmetries(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + + /* array holding symmetry definitions */ + CCTK_INT sym[3]; + + + /* Register symmetries of grid functions */ + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At11"); + + sym[0] = -1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At12"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At13"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At22"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At23"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::At33"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::A"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::B1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::B2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::B3"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::Xt1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::Xt2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::Xt3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::alpha"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::phi"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt11"); + + sym[0] = -1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt12"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt13"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt22"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt23"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::gt33"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::beta1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::beta2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::beta3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::trK"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::eta"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::cS"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::cXt1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::cXt2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::cXt3"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::cA"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::H"); + + sym[0] = -1; + sym[1] = 1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::M1"); + + sym[0] = 1; + sym[1] = -1; + sym[2] = 1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::M2"); + + sym[0] = 1; + sym[1] = 1; + sym[2] = -1; + SetCartSymVN(cctkGH, sym, "ML_BSSN_O2::M3"); + +} diff --git a/ML_BSSN_O2/src/Startup.c b/ML_BSSN_O2/src/Startup.c new file mode 100644 index 0000000..bb00108 --- /dev/null +++ b/ML_BSSN_O2/src/Startup.c @@ -0,0 +1,10 @@ +/* File produced by Kranc */ + +#include "cctk.h" + +int ML_BSSN_O2_Startup(void) +{ + const char * banner = "ML_BSSN_O2"; + CCTK_RegisterBanner(banner); + return 0; +} diff --git a/ML_BSSN_O2/src/make.code.defn b/ML_BSSN_O2/src/make.code.defn new file mode 100644 index 0000000..70c9a0d --- /dev/null +++ b/ML_BSSN_O2/src/make.code.defn @@ -0,0 +1,3 @@ +# File produced by Kranc + +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_O2_Minkowski.c ML_BSSN_O2_convertFromADMBase.c ML_BSSN_O2_convertFromADMBaseGamma.c ML_BSSN_O2_setBetaDriverConstant.c ML_BSSN_O2_setBetaDriverSpatial.c ML_BSSN_O2_RHS.c ML_BSSN_O2_RHS1.c ML_BSSN_O2_RHS2.c ML_BSSN_O2_RHSStaticBoundary.c ML_BSSN_O2_RHSRadiativeBoundary.c ML_BSSN_O2_enforce.c ML_BSSN_O2_enforce2.c ML_BSSN_O2_boundary.c ML_BSSN_O2_convertToADMBase.c ML_BSSN_O2_convertToADMBaseDtLapseShift.c ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c ML_BSSN_O2_constraints.c ML_BSSN_O2_constraints_boundary.c Boundaries.c diff --git a/ML_BSSN_O2_Helper/configuration.ccl b/ML_BSSN_O2_Helper/configuration.ccl new file mode 100644 index 0000000..edaa5b7 --- /dev/null +++ b/ML_BSSN_O2_Helper/configuration.ccl @@ -0,0 +1 @@ +REQUIRES THORNS: CartGrid3D CoordGauge diff --git a/ML_BSSN_O2_Helper/interface.ccl b/ML_BSSN_O2_Helper/interface.ccl new file mode 100644 index 0000000..fabdd77 --- /dev/null +++ b/ML_BSSN_O2_Helper/interface.ccl @@ -0,0 +1,37 @@ +IMPLEMENTS: ML_BSSN_O2_Helper + +INHERITS: ADMBase CoordGauge ML_BSSN_O2 + +USES INCLUDE: Symmetry.h + + + +CCTK_INT FUNCTION MoLRegisterConstrainedGroup \ + (CCTK_INT IN ConstrainedIndex) +USES FUNCTION MoLRegisterConstrainedGroup + +CCTK_INT FUNCTION \ + Boundary_SelectGroupForBC \ + (CCTK_POINTER_TO_CONST IN cctkGH, \ + CCTK_INT IN faces, \ + CCTK_INT IN boundary_width, \ + CCTK_INT IN table_handle, \ + CCTK_STRING IN group_name, \ + CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC + +CCTK_INT FUNCTION \ + ExtrapolateGammas \ + (CCTK_POINTER_TO_CONST IN cctkGH, \ + CCTK_REAL ARRAY INOUT var) +USES FUNCTION ExtrapolateGammas + +CCTK_INT FUNCTION \ + NewRad_Apply \ + (CCTK_POINTER_TO_CONST IN cctkGH, \ + CCTK_REAL ARRAY IN var, \ + CCTK_REAL ARRAY INOUT rhs, \ + CCTK_REAL IN var0, \ + CCTK_REAL IN v0, \ + CCTK_INT IN radpower) +USES FUNCTION NewRad_Apply diff --git a/ML_BSSN_O2_Helper/param.ccl b/ML_BSSN_O2_Helper/param.ccl new file mode 100644 index 0000000..1f23650 --- /dev/null +++ b/ML_BSSN_O2_Helper/param.ccl @@ -0,0 +1,39 @@ +SHARES: Boundary + +USES CCTK_INT radpower + +SHARES: MethodofLines + +USES CCTK_INT MoL_Num_Constrained_Vars + +SHARES: ADMBase + +USES KEYWORD evolution_method + +SHARES: GenericFD + +USES CCTK_INT boundary_width + +SHARES: ML_BSSN_O2 + +USES CCTK_INT timelevels +USES CCTK_INT rhs_timelevels +USES KEYWORD calculate_ADMBase_variables_at + +USES CCTK_REAL harmonicF + +EXTENDS KEYWORD my_initial_boundary_condition +{ + "extrapolate-gammas" :: "extrapolate-gammas" +} +EXTENDS KEYWORD my_rhs_boundary_condition +{ + "NewRad" :: "NewRad" +} + +PRIVATE: + +CCTK_INT ML_BSSN_O2_MaxNumConstrainedVars "Number of constrained variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Constrained_Vars +{ + 20:20 :: "Number of constrained variables used by this thorn" +} 20 diff --git a/ML_BSSN_O2_Helper/schedule.ccl b/ML_BSSN_O2_Helper/schedule.ccl new file mode 100644 index 0000000..22980e5 --- /dev/null +++ b/ML_BSSN_O2_Helper/schedule.ccl @@ -0,0 +1,183 @@ +if (CCTK_EQUALS (evolution_method, "ML_BSSN_O2")) { + + if (timelevels == 1) { + STORAGE: ADMBase::metric[1] + STORAGE: ADMBase::curv[1] + STORAGE: ADMBase::lapse[1] + STORAGE: ADMBase::shift[1] + STORAGE: ADMBase::dtlapse[1] + STORAGE: ADMBase::dtshift[1] + } else if (timelevels == 2) { + STORAGE: ADMBase::metric[2] + STORAGE: ADMBase::curv[2] + STORAGE: ADMBase::lapse[2] + STORAGE: ADMBase::shift[2] + STORAGE: ADMBase::dtlapse[2] + STORAGE: ADMBase::dtshift[2] + } else if (timelevels == 3) { + STORAGE: ADMBase::metric[3] + STORAGE: ADMBase::curv[3] + STORAGE: ADMBase::lapse[3] + STORAGE: ADMBase::shift[3] + STORAGE: ADMBase::dtlapse[3] + STORAGE: ADMBase::dtshift[3] + } else if (timelevels == 4) { + #STORAGE: ADMBase::metric[4] + #STORAGE: ADMBase::curv[4] + #STORAGE: ADMBase::lapse[4] + #STORAGE: ADMBase::shift[4] + #STORAGE: ADMBase::dtlapse[4] + #STORAGE: ADMBase::dtshift[4] + STORAGE: ADMBase::metric[3] + STORAGE: ADMBase::curv[3] + STORAGE: ADMBase::lapse[3] + STORAGE: ADMBase::shift[3] + STORAGE: ADMBase::dtlapse[3] + STORAGE: ADMBase::dtshift[3] + } + + SCHEDULE ML_BSSN_O2_RegisterSlicing AT startup + { + LANG: C + OPTIONS: meta + } "Register slicing" + + SCHEDULE ML_BSSN_O2_SetGroupTags AT startup BEFORE Driver_Startup + { + LANG: C + OPTIONS: meta + } "Set checkpointing and prolongation group tags" + + SCHEDULE ML_BSSN_O2_RegisterConstrained IN MoL_Register + { + LANG: C + OPTIONS: meta + } "Register ADMBase variables as constrained" + + + + SCHEDULE GROUP ML_BSSN_O2_InitEta AT initial + { + } "Initialize BetaDriver" + + SCHEDULE GROUP ML_BSSN_O2_InitEta AT postregrid + { + } "Initialize BetaDriver" + + SCHEDULE GROUP ML_BSSN_O2_InitEta AT post_recover_variables + { + } "Initialize BetaDriver" + + + + #SCHEDULE GROUP ML_BSSN_O2_evolCalcGroup AT postinitial AFTER MoL_PostStep + #{ + #} "Calculate BSSN RHS" + SCHEDULE GROUP MoL_CalcRHS AT postinitial AFTER MoL_PostStep + { + } "Evaluate RHS" + + SCHEDULE GROUP ML_BSSN_O2_evolCalcGroup IN MoL_CalcRHS + { + } "Calculate BSSN RHS" + + SCHEDULE GROUP ML_BSSN_O2_evolCalcGroup AT analysis + { + TRIGGERS: ML_BSSN_O2::ML_log_confacrhs + TRIGGERS: ML_BSSN_O2::ML_metricrhs + TRIGGERS: ML_BSSN_O2::ML_Gammarhs + TRIGGERS: ML_BSSN_O2::ML_trace_curvrhs + TRIGGERS: ML_BSSN_O2::ML_curvrhs + TRIGGERS: ML_BSSN_O2::ML_lapserhs + TRIGGERS: ML_BSSN_O2::ML_dtlapserhs + TRIGGERS: ML_BSSN_O2::ML_shiftrhs + TRIGGERS: ML_BSSN_O2::ML_dtshiftrhs + } "Calculate BSSN RHS" + + + + if (CCTK_EQUALS (my_initial_boundary_condition, "extrapolate-gammas")) + { + SCHEDULE ML_BSSN_O2_ExtrapolateGammas AT initial AFTER ML_BSSN_O2_convertFromADMBaseGamma + { + LANG: C + # We don't need to synchronise here because extrapolation is now filling + # ghost zones + #SYNC: ML_Gamma + #SYNC: ML_dtlapse + #SYNC: ML_dtshift + } "Extrapolate Gammas and time derivatives of lapse and shift" + } + + if (CCTK_EQUALS (my_rhs_boundary_condition, "NewRad")) + { + SCHEDULE ML_BSSN_O2_NewRad IN ML_BSSN_O2_evolCalcGroup AFTER ML_BSSN_O2_RHS + { + LANG: C + #SYNC: ML_curvrhs + #SYNC: ML_dtlapserhs + #SYNC: ML_dtshiftrhs + #SYNC: ML_Gammarhs + #SYNC: ML_lapserhs + #SYNC: ML_log_confacrhs + #SYNC: ML_metricrhs + #SYNC: ML_shiftrhs + #SYNC: ML_trace_curvrhs + } "Apply NewRad boundary conditions to RHS" + } + + + + SCHEDULE GROUP ML_BSSN_O2_convertToADMBaseGroup IN ML_BSSN_O2_convertToADMBaseGroupWrapper + { + #SYNC: ADMBase::metric + #SYNC: ADMBase::curv + #SYNC: ADMBase::lapse + #SYNC: ADMBase::shift + #SYNC: ADMBase::dtlapse + #SYNC: ADMBase::dtshift + } "Calculate ADM variables" + + if (CCTK_EQUALS (calculate_ADMBase_variables_at, "MoL_PostStep")) + { + SCHEDULE GROUP ML_BSSN_O2_convertToADMBaseGroupWrapper IN MoL_PostStep AFTER (ML_BSSN_O2_ApplyBCs ML_BSSN_O2_enforce) BEFORE (ADMBase_SetADMVars Whisky_PostStep) + { + } "Calculate ADM variables" + } + else if (CCTK_EQUALS (calculate_ADMBase_variables_at, "CCTK_EVOL")) + { + SCHEDULE GROUP ML_BSSN_O2_convertToADMBaseGroupWrapper AT evol AFTER MoL_Evolution BEFORE (ADMBase_SetADMVars Whisky_PostStep) + { + } "Calculate ADM variables" + } + else if (CCTK_EQUALS (calculate_ADMBase_variables_at, "CCTK_ANALYSIS")) + { + SCHEDULE GROUP ML_BSSN_O2_convertToADMBaseGroupWrapper AT analysis BEFORE (ADMBase_SetADMVars Whisky_PostStep) + { + TRIGGERS: ML_BSSN_O2::ML_Ham + TRIGGERS: ML_BSSN_O2::ML_mom + } "Calculate ADM variables" + } + + SCHEDULE GROUP ML_BSSN_O2_convertToADMBaseGroupWrapper AT CCTK_POST_RECOVER_VARIABLES + { + } "Calculate ADM variables" + + SCHEDULE ML_BSSN_O2_SelectBCsADMBase IN ML_BSSN_O2_convertToADMBaseGroupWrapper AFTER ML_BSSN_O2_convertToADMBaseGroup + { + LANG: C + OPTIONS: level + } "Apply boundary conditions to ADMBase variables" + + SCHEDULE GROUP ApplyBCs AS ML_BSSN_O2_ApplyBCsADMBase IN ML_BSSN_O2_convertToADMBaseGroupWrapper AFTER ML_BSSN_O2_SelectBCsADMBase + { + } "Apply boundary conditions to ADMBase variables" + + + + SCHEDULE GROUP ML_BSSN_O2_constraintsCalcGroup AT analysis + { + TRIGGERS: ML_BSSN_O2::ML_Ham + TRIGGERS: ML_BSSN_O2::ML_mom + } "Calculate BSSN constraints" +} diff --git a/ML_BSSN_O2_Helper/src/ExtrapolateGammas.c b/ML_BSSN_O2_Helper/src/ExtrapolateGammas.c new file mode 100644 index 0000000..013b099 --- /dev/null +++ b/ML_BSSN_O2_Helper/src/ExtrapolateGammas.c @@ -0,0 +1,29 @@ +#include <cctk.h> +#include <cctk_Arguments.h> + +static void +extrap (cGH const * restrict cctkGH, + CCTK_REAL * restrict var); + +void +ML_BSSN_O2_ExtrapolateGammas (CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + + extrap (cctkGH, Xt1); + extrap (cctkGH, Xt2); + extrap (cctkGH, Xt3); + + extrap (cctkGH, A); + + extrap (cctkGH, B1); + extrap (cctkGH, B2); + extrap (cctkGH, B3); +} + +static void +extrap (cGH const * restrict const cctkGH, + CCTK_REAL * restrict const var) +{ + ExtrapolateGammas (cctkGH, var); +} diff --git a/ML_BSSN_O2_Helper/src/NewRad.c b/ML_BSSN_O2_Helper/src/NewRad.c new file mode 100644 index 0000000..5e99d1d --- /dev/null +++ b/ML_BSSN_O2_Helper/src/NewRad.c @@ -0,0 +1,67 @@ +#include <math.h> + +#include <cctk.h> +#include <cctk_Arguments.h> +#include <cctk_Parameters.h> + +static void +newrad (cGH const * restrict cctkGH, + CCTK_REAL const * restrict var, + CCTK_REAL * restrict rhs, + CCTK_REAL var0, + CCTK_REAL v0); + +void +ML_BSSN_O2_NewRad (CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + CCTK_REAL const v0 = sqrt (harmonicF); + + newrad (cctkGH, phi , phirhs , 0.0, v0 ); + + newrad (cctkGH, gt11 , gt11rhs , 1.0, 1.0); + newrad (cctkGH, gt12 , gt12rhs , 0.0, 1.0); + newrad (cctkGH, gt13 , gt13rhs , 0.0, 1.0); + newrad (cctkGH, gt22 , gt22rhs , 1.0, 1.0); + newrad (cctkGH, gt23 , gt23rhs , 0.0, 1.0); + newrad (cctkGH, gt33 , gt33rhs , 1.0, 1.0); + + newrad (cctkGH, Xt1 , Xt1rhs , 0.0, 1.0); + newrad (cctkGH, Xt2 , Xt2rhs , 0.0, 1.0); + newrad (cctkGH, Xt3 , Xt3rhs , 0.0, 1.0); + + newrad (cctkGH, trK , trKrhs , 0.0, v0 ); + + newrad (cctkGH, At11 , At11rhs , 0.0, 1.0); + newrad (cctkGH, At12 , At12rhs , 0.0, 1.0); + newrad (cctkGH, At13 , At13rhs , 0.0, 1.0); + newrad (cctkGH, At22 , At22rhs , 0.0, 1.0); + newrad (cctkGH, At23 , At23rhs , 0.0, 1.0); + newrad (cctkGH, At33 , At33rhs , 0.0, 1.0); + + newrad (cctkGH, alpha, alpharhs, 1.0, v0 ); + + newrad (cctkGH, A , Arhs , 0.0, v0 ); + + newrad (cctkGH, beta1, beta1rhs, 0.0, 1.0); + newrad (cctkGH, beta2, beta2rhs, 0.0, 1.0); + newrad (cctkGH, beta3, beta3rhs, 0.0, 1.0); + + newrad (cctkGH, B1 , B1rhs , 0.0, 1.0); + newrad (cctkGH, B2 , B2rhs , 0.0, 1.0); + newrad (cctkGH, B3 , B3rhs , 0.0, 1.0); +} + +static void +newrad (cGH const * restrict const cctkGH, + CCTK_REAL const * restrict const var, + CCTK_REAL * restrict const rhs, + CCTK_REAL const var0, + CCTK_REAL const v0) +{ + DECLARE_CCTK_PARAMETERS; + + NewRad_Apply (cctkGH, var, rhs, var0, v0, radpower); +} diff --git a/ML_BSSN_O2_Helper/src/RegisterConstrained.c b/ML_BSSN_O2_Helper/src/RegisterConstrained.c new file mode 100644 index 0000000..6e4ec34 --- /dev/null +++ b/ML_BSSN_O2_Helper/src/RegisterConstrained.c @@ -0,0 +1,32 @@ +#include <assert.h> +#include <stdlib.h> +#include <string.h> + +#include <cctk.h> +#include <cctk_Arguments.h> + +static void +register_constrained (char const * restrict const gn); + +void +ML_BSSN_O2_RegisterConstrained (CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + + register_constrained ("ADMBase::metric"); + register_constrained ("ADMBase::curv"); + register_constrained ("ADMBase::lapse"); + register_constrained ("ADMBase::shift"); + register_constrained ("ADMBase::dtlapse"); + register_constrained ("ADMBase::dtshift"); +} + +static void +register_constrained (char const * restrict const gn) +{ + assert (gn); + + int const gi = CCTK_GroupIndex (gn); + int const ierr = MoLRegisterConstrainedGroup (gi); + assert (! ierr); +} diff --git a/ML_BSSN_O2_Helper/src/RegisterSlicing.c b/ML_BSSN_O2_Helper/src/RegisterSlicing.c new file mode 100644 index 0000000..24635db --- /dev/null +++ b/ML_BSSN_O2_Helper/src/RegisterSlicing.c @@ -0,0 +1,10 @@ +#include <cctk.h> + +#include "CactusEinstein/CoordGauge/src/Slicing.h" + +int +ML_BSSN_O2_RegisterSlicing (void) +{ + Einstein_RegisterSlicing ("ML_BSSN_O2"); + return 0; +} diff --git a/ML_BSSN_O2_Helper/src/SelectBCsADMBase.c b/ML_BSSN_O2_Helper/src/SelectBCsADMBase.c new file mode 100644 index 0000000..2866574 --- /dev/null +++ b/ML_BSSN_O2_Helper/src/SelectBCsADMBase.c @@ -0,0 +1,31 @@ +#include <assert.h> + +#include <cctk.h> +#include <cctk_Arguments.h> +#include <cctk_Parameters.h> + +static void +select_bcs (cGH const * restrict cctkGH, char const * restrict gn); + +void +ML_BSSN_O2_SelectBCsADMBase (CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + + select_bcs (cctkGH, "ADMBase::metric"); + select_bcs (cctkGH, "ADMBase::curv"); + select_bcs (cctkGH, "ADMBase::lapse"); + select_bcs (cctkGH, "ADMBase::shift"); + select_bcs (cctkGH, "ADMBase::dtlapse"); + select_bcs (cctkGH, "ADMBase::dtshift"); +} + +static void +select_bcs (cGH const * restrict const cctkGH, char const * restrict const gn) +{ + DECLARE_CCTK_PARAMETERS; + + int const ierr = Boundary_SelectGroupForBC + (cctkGH, CCTK_ALL_FACES, boundary_width, -1, gn, "none"); + assert (! ierr); +} diff --git a/ML_BSSN_O2_Helper/src/SetGroupTags.c b/ML_BSSN_O2_Helper/src/SetGroupTags.c new file mode 100644 index 0000000..cad3293 --- /dev/null +++ b/ML_BSSN_O2_Helper/src/SetGroupTags.c @@ -0,0 +1,77 @@ +#include <cctk.h> +#include <cctk_Parameters.h> +#include <util_Table.h> + +#include <assert.h> + +static void +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, + char const * restrict const gn); + +int +ML_BSSN_O2_SetGroupTags (void) +{ + DECLARE_CCTK_PARAMETERS; + + set_group_tags (0, 0, 1, "ADMBase::metric"); + set_group_tags (0, 0, 1, "ADMBase::curv"); + set_group_tags (0, 0, 1, "ADMBase::lapse"); + set_group_tags (0, 0, 1, "ADMBase::shift"); + set_group_tags (0, 0, 1, "ADMBase::dtlapse"); + set_group_tags (0, 0, 1, "ADMBase::dtshift"); + + set_group_tags (0, 0, 0, "ML_BSSN_O2::ML_cons_detg"); + set_group_tags (0, 0, 0, "ML_BSSN_O2::ML_cons_Gamma"); + set_group_tags (0, 0, 0, "ML_BSSN_O2::ML_cons_traceA"); + set_group_tags (0, 0, 0, "ML_BSSN_O2::ML_Ham"); + set_group_tags (0, 0, 0, "ML_BSSN_O2::ML_mom"); + + set_group_tags (0, 1, 0, "ML_BSSN_O2::ML_BetaDriver"); + + int const checkpoint = rhs_timelevels > 1; + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_dtlapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_dtshiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_Gammarhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_lapserhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_log_confacrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_metricrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_shiftrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_trace_curvrhs"); + set_group_tags (checkpoint, checkpoint, 0, "ML_BSSN_O2::ML_curvrhs"); + + return 0; +} + +static void +set_group_tags (int const checkpoint, + int const persistent, + int const prolongate, + char const * restrict const gn) +{ + assert (gn); + + int const gi = CCTK_GroupIndex (gn); + assert (gi >= 0); + + int const table = CCTK_GroupTagsTableI (gi); + assert (table >= 0); + + if (! checkpoint) { + int const ierr = Util_TableSetString (table, "no", "Checkpoint"); + assert (! ierr); + } + + if (! persistent) { + int const ierr = Util_TableSetString (table, "no", "Persistent"); + assert (! ierr); + } + + if (! prolongate) { + int const iret = Util_TableDeleteKey (table, "ProlongationParameter"); + assert (iret == 0 || iret == UTIL_ERROR_TABLE_NO_SUCH_KEY); + int const ierr = Util_TableSetString (table, "none", "Prolongation"); + assert (! ierr); + } +} diff --git a/ML_BSSN_O2_Helper/src/make.code.defn b/ML_BSSN_O2_Helper/src/make.code.defn new file mode 100644 index 0000000..a3ac433 --- /dev/null +++ b/ML_BSSN_O2_Helper/src/make.code.defn @@ -0,0 +1,2 @@ +# -*-Makefile-*- +SRCS = ExtrapolateGammas.c NewRad.c RegisterConstrained.c RegisterSlicing.c SelectBCsADMBase.c SetGroupTags.c diff --git a/m/McLachlan_ADMConstraints.m b/m/McLachlan_ADMConstraints.m index 4b2fd85..ccad0e5 100644 --- a/m/McLachlan_ADMConstraints.m +++ b/m/McLachlan_ADMConstraints.m @@ -318,5 +318,6 @@ CreateKrancThornTT [groups, ".", ADMConstraints, (* matter: 0 or 1 (matter seems cheap; it should be always enabled) *) +createCode[2, False, 3, 1]; createCode[4, False, 3, 1]; createCode[4, True, 3, 1]; diff --git a/m/McLachlan_ADMQuantities.m b/m/McLachlan_ADMQuantities.m index b5a8b56..28f1c9d 100644 --- a/m/McLachlan_ADMQuantities.m +++ b/m/McLachlan_ADMQuantities.m @@ -364,5 +364,6 @@ CreateKrancThornTT [groups, ".", ADMQuantities, (* matter: 0 or 1 (matter seems cheap; it should be always enabled) *) +createCode[2, False, 3, 1]; createCode[4, False, 3, 1]; createCode[4, True, 3, 1]; diff --git a/m/McLachlan_BSSN.m b/m/McLachlan_BSSN.m index 56e792f..bb1f094 100644 --- a/m/McLachlan_BSSN.m +++ b/m/McLachlan_BSSN.m @@ -1264,5 +1264,6 @@ CreateKrancThornTT [groups, ".", BSSN, (* matter: 0 or 1 (matter seems cheap; it should be always enabled) *) +createCode[2, False, 4, 1]; createCode[4, False, 4, 1]; createCode[4, True, 4, 1]; |