path: root/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc

/*  File produced by Kranc */

#define KRANC_C

#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.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 QAD(x) (SQR(SQR(x)))
#define INV(x) ((1.0) / (x))
#define SQR(x) ((x) * (x))
#define CUB(x) ((x) * (x) * (x))

extern "C" void ML_BSSN_convertFromADMBaseGamma_SelectBCs(CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;
  
  CCTK_INT ierr = 0;
  ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_dtlapse","flat");
  if (ierr < 0)
    CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_dtlapse.");
  ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_dtshift","flat");
  if (ierr < 0)
    CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_dtshift.");
  ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_Gamma","flat");
  if (ierr < 0)
    CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_Gamma.");
  return;
}

static void ML_BSSN_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 */
  
  if (verbose > 1)
  {
    CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBaseGamma_Body");
  }
  
  if (cctk_iteration % ML_BSSN_convertFromADMBaseGamma_calc_every != ML_BSSN_convertFromADMBaseGamma_calc_offset)
  {
    return;
  }
  
  const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN::ML_dtlapse","ML_BSSN::ML_dtshift","ML_BSSN::ML_Gamma","ML_BSSN::ML_lapse","ML_BSSN::ML_metric","ML_BSSN::ML_shift"};
  GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_convertFromADMBaseGamma", 10, groups);
  
  GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_convertFromADMBaseGamma", 3, 3, 3);
  
  /* Include user-supplied include files */
  
  /* Initialise finite differencing variables */
  ptrdiff_t const di = 1;
  ptrdiff_t const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0);
  ptrdiff_t const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0);
  ptrdiff_t const cdi = sizeof(CCTK_REAL) * di;
  ptrdiff_t const cdj = sizeof(CCTK_REAL) * dj;
  ptrdiff_t const cdk = sizeof(CCTK_REAL) * dk;
  CCTK_REAL const dx = ToReal(CCTK_DELTA_SPACE(0));
  CCTK_REAL const dy = ToReal(CCTK_DELTA_SPACE(1));
  CCTK_REAL const dz = ToReal(CCTK_DELTA_SPACE(2));
  CCTK_REAL const dt = ToReal(CCTK_DELTA_TIME);
  CCTK_REAL const dxi = INV(dx);
  CCTK_REAL const dyi = INV(dy);
  CCTK_REAL const dzi = INV(dz);
  CCTK_REAL const khalf = 0.5;
  CCTK_REAL const kthird = 1/3.0;
  CCTK_REAL const ktwothird = 2.0/3.0;
  CCTK_REAL const kfourthird = 4.0/3.0;
  CCTK_REAL const keightthird = 8.0/3.0;
  CCTK_REAL const hdxi = 0.5 * dxi;
  CCTK_REAL const hdyi = 0.5 * dyi;
  CCTK_REAL const hdzi = 0.5 * dzi;
  
  /* Initialize predefined quantities */
  CCTK_REAL const p1o12dx = 0.0833333333333333333333333333333*INV(dx);
  CCTK_REAL const p1o12dy = 0.0833333333333333333333333333333*INV(dy);
  CCTK_REAL const p1o12dz = 0.0833333333333333333333333333333*INV(dz);
  CCTK_REAL const p1o144dxdy = 0.00694444444444444444444444444444*INV(dx)*INV(dy);
  CCTK_REAL const p1o144dxdz = 0.00694444444444444444444444444444*INV(dx)*INV(dz);
  CCTK_REAL const p1o144dydz = 0.00694444444444444444444444444444*INV(dy)*INV(dz);
  CCTK_REAL const p1o24dx = 0.0416666666666666666666666666667*INV(dx);
  CCTK_REAL const p1o24dy = 0.0416666666666666666666666666667*INV(dy);
  CCTK_REAL const p1o24dz = 0.0416666666666666666666666666667*INV(dz);
  CCTK_REAL const p1o64dx = 0.015625*INV(dx);
  CCTK_REAL const p1o64dy = 0.015625*INV(dy);
  CCTK_REAL const p1o64dz = 0.015625*INV(dz);
  CCTK_REAL const p1odx = INV(dx);
  CCTK_REAL const p1ody = INV(dy);
  CCTK_REAL const p1odz = INV(dz);
  CCTK_REAL const pm1o12dx2 = -0.0833333333333333333333333333333*INV(SQR(dx));
  CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
  CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
  
  /* Loop over the grid points */
  #pragma omp parallel
  LC_LOOP3 (ML_BSSN_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])
  {
    ptrdiff_t const index = di*i + dj*j + dk*k;
    
    /* Assign local copies of grid functions */
    
    CCTK_REAL alphaL = alpha[index];
    CCTK_REAL beta1L = beta1[index];
    CCTK_REAL beta2L = beta2[index];
    CCTK_REAL beta3L = beta3[index];
    CCTK_REAL dtalpL = dtalp[index];
    CCTK_REAL dtbetaxL = dtbetax[index];
    CCTK_REAL dtbetayL = dtbetay[index];
    CCTK_REAL dtbetazL = dtbetaz[index];
    CCTK_REAL gt11L = gt11[index];
    CCTK_REAL gt12L = gt12[index];
    CCTK_REAL gt13L = gt13[index];
    CCTK_REAL gt22L = gt22[index];
    CCTK_REAL gt23L = gt23[index];
    CCTK_REAL gt33L = gt33[index];
    CCTK_REAL rL = r[index];
    
    
    /* Include user supplied include files */
    
    /* Precompute derivatives */
    CCTK_REAL const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
    CCTK_REAL const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
    CCTK_REAL const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
    CCTK_REAL const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
    CCTK_REAL const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
    CCTK_REAL const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
    CCTK_REAL const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
    CCTK_REAL const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
    CCTK_REAL const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
    CCTK_REAL const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
    CCTK_REAL const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
    CCTK_REAL const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
    CCTK_REAL const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
    CCTK_REAL const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
    CCTK_REAL const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
    CCTK_REAL const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
    CCTK_REAL const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
    CCTK_REAL const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
    CCTK_REAL const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
    CCTK_REAL const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
    CCTK_REAL const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
    CCTK_REAL const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
    CCTK_REAL const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
    CCTK_REAL const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
    CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
    CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
    CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
    CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
    CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
    CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
    CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
    CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
    CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
    CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
    CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
    CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
    CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
    CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
    CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
    CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
    CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
    CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
    
    /* Calculate temporaries and grid functions */
    ptrdiff_t dir1 = Sign(beta1L);
    
    ptrdiff_t dir2 = Sign(beta2L);
    
    ptrdiff_t dir3 = Sign(beta3L);
    
    CCTK_REAL detgt = 1;
    
    CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L));
    
    CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt);
    
    CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt);
    
    CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L));
    
    CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt);
    
    CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L));
    
    CCTK_REAL Gt111 = 0.5*(gtu11*PDstandardNth1gt11 + 
      2*(gtu12*PDstandardNth1gt12 + gtu13*PDstandardNth1gt13) - 
      gtu12*PDstandardNth2gt11 - gtu13*PDstandardNth3gt11);
    
    CCTK_REAL Gt211 = 0.5*(gtu12*PDstandardNth1gt11 + 
      2*(gtu22*PDstandardNth1gt12 + gtu23*PDstandardNth1gt13) - 
      gtu22*PDstandardNth2gt11 - gtu23*PDstandardNth3gt11);
    
    CCTK_REAL Gt311 = 0.5*(gtu13*PDstandardNth1gt11 + 
      2*(gtu23*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - 
      gtu23*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11);
    
    CCTK_REAL Gt112 = 0.5*(gtu12*PDstandardNth1gt22 + 
      gtu11*PDstandardNth2gt11 + gtu13*(PDstandardNth1gt23 + 
      PDstandardNth2gt13 - PDstandardNth3gt12));
    
    CCTK_REAL Gt212 = 0.5*(gtu22*PDstandardNth1gt22 + 
      gtu12*PDstandardNth2gt11 + gtu23*(PDstandardNth1gt23 + 
      PDstandardNth2gt13 - PDstandardNth3gt12));
    
    CCTK_REAL Gt312 = 0.5*(gtu23*PDstandardNth1gt22 + 
      gtu13*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + 
      PDstandardNth2gt13 - PDstandardNth3gt12));
    
    CCTK_REAL Gt113 = 0.5*(gtu13*PDstandardNth1gt33 + 
      gtu11*PDstandardNth3gt11 + gtu12*(PDstandardNth1gt23 - 
      PDstandardNth2gt13 + PDstandardNth3gt12));
    
    CCTK_REAL Gt213 = 0.5*(gtu23*PDstandardNth1gt33 + 
      gtu12*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - 
      PDstandardNth2gt13 + PDstandardNth3gt12));
    
    CCTK_REAL Gt313 = 0.5*(gtu33*PDstandardNth1gt33 + 
      gtu13*PDstandardNth3gt11 + gtu23*(PDstandardNth1gt23 - 
      PDstandardNth2gt13 + PDstandardNth3gt12));
    
    CCTK_REAL Gt122 = 0.5*(gtu11*(-PDstandardNth1gt22 + 
      2*PDstandardNth2gt12) + gtu12*PDstandardNth2gt22 + 
      gtu13*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
    
    CCTK_REAL Gt222 = 0.5*(gtu12*(-PDstandardNth1gt22 + 
      2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + 
      gtu23*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
    
    CCTK_REAL Gt322 = 0.5*(gtu13*(-PDstandardNth1gt22 + 
      2*PDstandardNth2gt12) + gtu23*PDstandardNth2gt22 + 
      gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
    
    CCTK_REAL Gt123 = 0.5*(gtu13*PDstandardNth2gt33 + 
      gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + 
      gtu12*PDstandardNth3gt22);
    
    CCTK_REAL Gt223 = 0.5*(gtu23*PDstandardNth2gt33 + 
      gtu12*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + 
      gtu22*PDstandardNth3gt22);
    
    CCTK_REAL Gt323 = 0.5*(gtu33*PDstandardNth2gt33 + 
      gtu13*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + 
      gtu23*PDstandardNth3gt22);
    
    CCTK_REAL Gt133 = 0.5*(gtu11*(-PDstandardNth1gt33 + 
      2*PDstandardNth3gt13) + gtu12*(-PDstandardNth2gt33 + 
      2*PDstandardNth3gt23) + gtu13*PDstandardNth3gt33);
    
    CCTK_REAL Gt233 = 0.5*(gtu12*(-PDstandardNth1gt33 + 
      2*PDstandardNth3gt13) + gtu22*(-PDstandardNth2gt33 + 
      2*PDstandardNth3gt23) + gtu23*PDstandardNth3gt33);
    
    CCTK_REAL Gt333 = 0.5*(gtu13*(-PDstandardNth1gt33 + 
      2*PDstandardNth3gt13) + gtu23*(-PDstandardNth2gt33 + 
      2*PDstandardNth3gt23) + gtu33*PDstandardNth3gt33);
    
    CCTK_REAL Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + 
      Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33;
    
    CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + 
      Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33;
    
    CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + 
      Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33;
    
    CCTK_REAL AL = IfThen(ToReal(LapseACoeff) != 
      0,-3*INV(ToReal(harmonicF))*pow(alphaL,-ToReal(harmonicN))*(9*dtalpL - 
      (beta1L*PDupwindNthAnti1alpha + beta2L*PDupwindNthAnti2alpha + 
      beta3L*PDupwindNthAnti3alpha + PDupwindNthSymm1alpha*Abs(beta1L) + 
      PDupwindNthSymm2alpha*Abs(beta2L) + 
      PDupwindNthSymm3alpha*Abs(beta3L))*ToReal(LapseAdvectionCoeff)),0);
    
    CCTK_REAL theta = fmin(1,exp(1 - 
      rL*INV(ToReal(SpatialShiftGammaCoeffRadius))));
    
    CCTK_REAL B1L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) != 
      0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetaxL - 
      3*(beta1L*PDupwindNthAnti1beta1 + beta2L*PDupwindNthAnti2beta1 + 
      beta3L*PDupwindNthAnti3beta1 + PDupwindNthSymm1beta1*Abs(beta1L) + 
      PDupwindNthSymm2beta1*Abs(beta2L) + 
      PDupwindNthSymm3beta1*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),0);
    
    CCTK_REAL B2L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) != 
      0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetayL - 
      3*(beta1L*PDupwindNthAnti1beta2 + beta2L*PDupwindNthAnti2beta2 + 
      beta3L*PDupwindNthAnti3beta2 + PDupwindNthSymm1beta2*Abs(beta1L) + 
      PDupwindNthSymm2beta2*Abs(beta2L) + 
      PDupwindNthSymm3beta2*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),0);
    
    CCTK_REAL B3L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) != 
      0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetazL - 
      3*(beta1L*PDupwindNthAnti1beta3 + beta2L*PDupwindNthAnti2beta3 + 
      beta3L*PDupwindNthAnti3beta3 + PDupwindNthSymm1beta3*Abs(beta1L) + 
      PDupwindNthSymm2beta3*Abs(beta2L) + 
      PDupwindNthSymm3beta3*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),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;
  }
  LC_ENDLOOP3 (ML_BSSN_convertFromADMBaseGamma);
}

extern "C" void ML_BSSN_convertFromADMBaseGamma(CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;
  
  GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertFromADMBaseGamma_Body);
}