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/* File produced by user diener */
/* Produced with Mathematica Version 6.0 for Linux 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"
/* 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 WTFO_constraints_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 the variables used for looping over grid points */
CCTK_INT i = INITVALUE, j = INITVALUE, k = INITVALUE;
CCTK_INT index = INITVALUE;
CCTK_INT subblock_index = INITVALUE;
/* 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 p1o12dx = INITVALUE;
CCTK_REAL p1o12dy = INITVALUE;
CCTK_REAL p1o12dz = INITVALUE;
CCTK_REAL p1o144dx2dy = INITVALUE;
CCTK_REAL p1o144dx2dz = INITVALUE;
CCTK_REAL p1o144dxdy = INITVALUE;
CCTK_REAL p1o144dxdy2 = INITVALUE;
CCTK_REAL p1o144dxdz = INITVALUE;
CCTK_REAL p1o144dxdz2 = INITVALUE;
CCTK_REAL p1o144dy2dz = INITVALUE;
CCTK_REAL p1o144dydz = INITVALUE;
CCTK_REAL p1o144dydz2 = INITVALUE;
CCTK_REAL p1o1728dxdydz = INITVALUE;
CCTK_REAL p1o2dx3 = INITVALUE;
CCTK_REAL p1o2dy3 = INITVALUE;
CCTK_REAL p1o2dz3 = INITVALUE;
CCTK_REAL pm1o12dx2 = INITVALUE;
CCTK_REAL pm1o12dy2 = INITVALUE;
CCTK_REAL pm1o12dz2 = INITVALUE;
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering WTFO_constraints_Body");
}
if (cctk_iteration % WTFO_constraints_calc_every != WTFO_constraints_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 */
p1o12dx = INV(dx)/12.;
p1o12dy = INV(dy)/12.;
p1o12dz = INV(dz)/12.;
p1o144dx2dy = (INV(dy)*pow(dx,-2))/144.;
p1o144dx2dz = (INV(dz)*pow(dx,-2))/144.;
p1o144dxdy = (INV(dx)*INV(dy))/144.;
p1o144dxdy2 = (INV(dx)*pow(dy,-2))/144.;
p1o144dxdz = (INV(dx)*INV(dz))/144.;
p1o144dxdz2 = (INV(dx)*pow(dz,-2))/144.;
p1o144dy2dz = (INV(dz)*pow(dy,-2))/144.;
p1o144dydz = (INV(dy)*INV(dz))/144.;
p1o144dydz2 = (INV(dy)*pow(dz,-2))/144.;
p1o1728dxdydz = (INV(dx)*INV(dy)*INV(dz))/1728.;
p1o2dx3 = khalf*pow(dx,-3);
p1o2dy3 = khalf*pow(dy,-3);
p1o2dz3 = khalf*pow(dz,-3);
pm1o12dx2 = -pow(dx,-2)/12.;
pm1o12dy2 = -pow(dy,-2)/12.;
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
for (k = min[2]; k < max[2]; k++)
{
for (j = min[1]; j < max[1]; j++)
{
for (i = min[0]; i < max[0]; i++)
{
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 Jinv11 = INITVALUE, Jinv12 = INITVALUE, Jinv13 = INITVALUE, Jinv21 = INITVALUE, Jinv22 = INITVALUE, Jinv23 = INITVALUE;
CCTK_REAL Jinv31 = INITVALUE, Jinv32 = INITVALUE, Jinv33 = INITVALUE;
/* Declare local copies of grid functions */
CCTK_REAL dadxL = INITVALUE;
CCTK_REAL dadyL = INITVALUE;
CCTK_REAL dadzL = INITVALUE;
CCTK_REAL dbdxL = INITVALUE;
CCTK_REAL dbdyL = INITVALUE;
CCTK_REAL dbdzL = INITVALUE;
CCTK_REAL dcdxL = INITVALUE;
CCTK_REAL dcdyL = INITVALUE;
CCTK_REAL dcdzL = INITVALUE;
CCTK_REAL v1L = INITVALUE, v2L = INITVALUE, v3L = INITVALUE;
CCTK_REAL w1L = INITVALUE, w2L = INITVALUE, w3L = INITVALUE;
/* Declare precomputed derivatives*/
/* Declare derivatives */
CCTK_REAL PDstandardNth1v1 = INITVALUE;
CCTK_REAL PDstandardNth2v1 = INITVALUE;
CCTK_REAL PDstandardNth3v1 = INITVALUE;
CCTK_REAL PDstandardNth1v2 = INITVALUE;
CCTK_REAL PDstandardNth2v2 = INITVALUE;
CCTK_REAL PDstandardNth3v2 = INITVALUE;
CCTK_REAL PDstandardNth1v3 = INITVALUE;
CCTK_REAL PDstandardNth2v3 = INITVALUE;
CCTK_REAL PDstandardNth3v3 = INITVALUE;
/* Assign local copies of grid functions */
dadxL = dadx[index];
dadyL = dady[index];
dadzL = dadz[index];
dbdxL = dbdx[index];
dbdyL = dbdy[index];
dbdzL = dbdz[index];
dcdxL = dcdx[index];
dcdyL = dcdy[index];
dcdzL = dcdz[index];
v1L = v1[index];
v2L = v2[index];
v3L = v3[index];
/* Assign local copies of subblock grid functions */
/* Include user supplied include files */
/* Precompute derivatives (new style) */
PDstandardNth1v1 = PDstandardNth1(v1, i, j, k);
PDstandardNth2v1 = PDstandardNth2(v1, i, j, k);
PDstandardNth3v1 = PDstandardNth3(v1, i, j, k);
PDstandardNth1v2 = PDstandardNth1(v2, i, j, k);
PDstandardNth2v2 = PDstandardNth2(v2, i, j, k);
PDstandardNth3v2 = PDstandardNth3(v2, i, j, k);
PDstandardNth1v3 = PDstandardNth1(v3, i, j, k);
PDstandardNth2v3 = PDstandardNth2(v3, i, j, k);
PDstandardNth3v3 = PDstandardNth3(v3, i, j, k);
/* Precompute derivatives (old style) */
/* Calculate temporaries and grid functions */
Jinv11 = dadxL;
Jinv12 = dadyL;
Jinv13 = dadzL;
Jinv21 = dbdxL;
Jinv22 = dbdyL;
Jinv23 = dbdzL;
Jinv31 = dcdxL;
Jinv32 = dcdyL;
Jinv33 = dcdzL;
w1L = Jinv13*PDstandardNth1v2 - Jinv12*PDstandardNth1v3 + Jinv23*PDstandardNth2v2 - Jinv22*PDstandardNth2v3 +
Jinv33*PDstandardNth3v2 - Jinv32*PDstandardNth3v3;
w2L = -(Jinv13*PDstandardNth1v1) + Jinv11*PDstandardNth1v3 - Jinv23*PDstandardNth2v1 + Jinv21*PDstandardNth2v3 -
Jinv33*PDstandardNth3v1 + Jinv31*PDstandardNth3v3;
w3L = Jinv12*PDstandardNth1v1 - Jinv11*PDstandardNth1v2 + Jinv22*PDstandardNth2v1 - Jinv21*PDstandardNth2v2 +
Jinv32*PDstandardNth3v1 - Jinv31*PDstandardNth3v2;
/* Copy local copies back to grid functions */
w1[index] = w1L;
w2[index] = w2L;
w3[index] = w3L;
/* Copy local copies back to subblock grid functions */
}
}
}
}
void WTFO_constraints(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
GenericFD_LoopOverInterior(cctkGH, &WTFO_constraints_Body);
}
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