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/* 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);
}
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