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/* File produced by user eschnett */
/* Produced with Mathematica Version 6.0 for Mac OS X x86 (32-bit) (April 20, 2007) */
/* Mathematica script written by Ian Hinder and Sascha Husa */
#define KRANC_C
#include <math.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_convertFromADMBase_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[3], CCTK_REAL tangentA[3], CCTK_REAL tangentB[3], CCTK_INT min[3], CCTK_INT max[3], CCTK_INT n_subblock_gfs, CCTK_REAL *subblock_gfs[])
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
/* Declare finite differencing variables */
CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE;
CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE;
CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE;
CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE;
/* Declare predefined quantities */
CCTK_REAL qp1o12dx = INITVALUE;
CCTK_REAL qp1o12dy = INITVALUE;
CCTK_REAL qp1o12dz = INITVALUE;
CCTK_REAL qp1o144dxdy = INITVALUE;
CCTK_REAL qp1o144dxdz = INITVALUE;
CCTK_REAL qp1o144dydz = INITVALUE;
CCTK_REAL qpm1o12dx2 = INITVALUE;
CCTK_REAL qpm1o12dy2 = INITVALUE;
CCTK_REAL qpm1o12dz2 = INITVALUE;
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBase_Body");
}
if (cctk_iteration % ML_BSSN_convertFromADMBase_calc_every != ML_BSSN_convertFromADMBase_calc_offset)
{
return;
}
/* Include user-supplied include files */
/* Initialise finite differencing variables */
dx = CCTK_DELTA_SPACE(0);
dy = CCTK_DELTA_SPACE(1);
dz = CCTK_DELTA_SPACE(2);
dxi = 1.0 / dx;
dyi = 1.0 / dy;
dzi = 1.0 / dz;
khalf = 0.5;
kthird = 1/3.0;
ktwothird = 2.0/3.0;
kfourthird = 4.0/3.0;
keightthird = 8.0/3.0;
hdxi = 0.5 * dxi;
hdyi = 0.5 * dyi;
hdzi = 0.5 * dzi;
/* Initialize predefined quantities */
qp1o12dx = INV(dx)/12.;
qp1o12dy = INV(dy)/12.;
qp1o12dz = INV(dz)/12.;
qp1o144dxdy = (INV(dx)*INV(dy))/144.;
qp1o144dxdz = (INV(dx)*INV(dz))/144.;
qp1o144dydz = (INV(dy)*INV(dz))/144.;
qpm1o12dx2 = -pow(dx,-2)/12.;
qpm1o12dy2 = -pow(dy,-2)/12.;
qpm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
LC_LOOP3 (ML_BSSN_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;
index = CCTK_GFINDEX3D(cctkGH,i,j,k);
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;
CCTK_REAL K11 = INITVALUE, K12 = INITVALUE, K13 = INITVALUE, K22 = INITVALUE, K23 = INITVALUE, K33 = 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 */
alpL = alp[index];
betaxL = betax[index];
betayL = betay[index];
betazL = betaz[index];
gxxL = gxx[index];
gxyL = gxy[index];
gxzL = gxz[index];
gyyL = gyy[index];
gyzL = gyz[index];
gzzL = gzz[index];
kxxL = kxx[index];
kxyL = kxy[index];
kxzL = kxz[index];
kyyL = kyy[index];
kyzL = kyz[index];
kzzL = kzz[index];
phiL = phi[index];
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 */
g11 = gxxL;
g12 = gxyL;
g13 = gxzL;
g22 = gyyL;
g23 = gyzL;
g33 = gzzL;
detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23);
gu11 = INV(detg)*(g22*g33 - SQR(g23));
gu21 = (g13*g23 - g12*g33)*INV(detg);
gu31 = (-(g13*g22) + g12*g23)*INV(detg);
gu22 = INV(detg)*(g11*g33 - SQR(g13));
gu32 = (g12*g13 - g11*g23)*INV(detg);
gu33 = INV(detg)*(g11*g22 - SQR(g12));
phiL = Log(detg)/12.;
em4phi = exp(-4*phiL);
gt11L = em4phi*g11;
gt12L = em4phi*g12;
gt13L = em4phi*g13;
gt22L = em4phi*g22;
gt23L = em4phi*g23;
gt33L = em4phi*g33;
K11 = kxxL;
K12 = kxyL;
K13 = kxzL;
K22 = kyyL;
K23 = kyzL;
K33 = kzzL;
trKL = gu11*K11 + gu22*K22 + 2*(gu21*K12 + gu31*K13 + gu32*K23) + gu33*K33;
At11L = em4phi*(K11 - g11*kthird*trKL);
At12L = em4phi*(K12 - g12*kthird*trKL);
At13L = em4phi*(K13 - g13*kthird*trKL);
At22L = em4phi*(K22 - g22*kthird*trKL);
At23L = em4phi*(K23 - g23*kthird*trKL);
At33L = em4phi*(K33 - g33*kthird*trKL);
alphaL = alpL;
beta1L = betaxL;
beta2L = betayL;
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_convertFromADMBase);
}
void ML_BSSN_convertFromADMBase(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_convertFromADMBase_Body);
}
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