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/*@@
@file Misner_multiple.F
@date
@author Carsten Gundlach
@desc
Set up initial data for multiple Misner black holes
@enddesc
@version $Id$
@@*/
#include <string.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "CactusEinstein/Einstein/src/Einstein.h"
static char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusEinstein_IDAnalyticBH_Misner_multiple_c)
#define SQR(a) ((a)*(a))
void Misner_init(int n, CCTK_REAL mu, int terms);
void MisnerEvalPsi(CCTK_REAL x, CCTK_REAL y, CCTK_REAL z, CCTK_REAL *res);
void Misner_multiple(CCTK_ARGUMENTS);
/*@@
@routine Misner_multiple
@date
@author Carsten Gundlach
@desc
Set up initial data for multiple Misner black holes
@enddesc
@calls MisnerEvalPsi
@@*/
void Misner_multiple(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
int i, npoints;
CCTK_REAL xval, yval, zval;
CCTK_REAL inv_psi, tmp0, tmp1, tmp2, tmp3, tmp4;
const CCTK_REAL nm_eps = 1e-6, /* finite differencing step*/
halved_inv_nm_eps = 5e+5,
inv_nm_eps_squared = 1e+12;
const CCTK_REAL one = 1.0;
npoints = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
/* Initialize C global variables
* -----------------------------
*/
Misner_init(misner_nbh, mu, nmax);
/* Get value of psi pointwise from a C function
* --------------------------------------------
*/
for(i = 0; i < npoints; i++)
{
xval = x[i];
yval = y[i];
zval = z[i];
MisnerEvalPsi(xval, yval, zval, &tmp0);
psi[i] = tmp0;
/* Only calculate derivatives of psi if required
* ---------------------------------------------
*/
if (use_conformal_derivs)
{
MisnerEvalPsi(xval+nm_eps,yval,zval,&tmp1);
MisnerEvalPsi(xval-nm_eps,yval,zval,&tmp2);
psix[i] = (tmp1-tmp2) * halved_inv_nm_eps;
psixx[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
MisnerEvalPsi(xval,yval+nm_eps,zval,&tmp1);
MisnerEvalPsi(xval,yval-nm_eps,zval,&tmp2);
psiy[i] = (tmp1-tmp2) * halved_inv_nm_eps;
psiyy[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
MisnerEvalPsi(xval,yval,zval+nm_eps,&tmp1);
MisnerEvalPsi(xval,yval,zval-nm_eps,&tmp2);
psiz[i] = (tmp1-tmp2) * halved_inv_nm_eps;
psizz[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
MisnerEvalPsi(xval+nm_eps,yval+nm_eps,zval,&tmp1);
MisnerEvalPsi(xval+nm_eps,yval-nm_eps,zval,&tmp2);
MisnerEvalPsi(xval-nm_eps,yval+nm_eps,zval,&tmp3);
MisnerEvalPsi(xval-nm_eps,yval-nm_eps,zval,&tmp4);
psixy[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
MisnerEvalPsi(xval,yval+nm_eps,zval+nm_eps,&tmp1);
MisnerEvalPsi(xval,yval-nm_eps,zval+nm_eps,&tmp2);
MisnerEvalPsi(xval,yval+nm_eps,zval-nm_eps,&tmp3);
MisnerEvalPsi(xval,yval-nm_eps,zval-nm_eps,&tmp4);
psiyz[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
MisnerEvalPsi(xval+nm_eps,yval,zval+nm_eps,&tmp1);
MisnerEvalPsi(xval+nm_eps,yval,zval-nm_eps,&tmp2);
MisnerEvalPsi(xval-nm_eps,yval,zval+nm_eps,&tmp3);
MisnerEvalPsi(xval-nm_eps,yval,zval-nm_eps,&tmp4);
psixz[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
}
}
/* Cactus conventions
* ------------------
*/
if (use_conformal_derivs)
{
for(i = 0; i < npoints; i++)
{
inv_psi = one / psi[i];
psix[i] *= inv_psi;
psiy[i] *= inv_psi;
psiz[i] *= inv_psi;
psixx[i] *= inv_psi;
psixy[i] *= inv_psi;
psixz[i] *= inv_psi;
psiyy[i] *= inv_psi;
psiyz[i] *= inv_psi;
psizz[i] *= inv_psi;
}
}
/* Metric depends on conformal state
* ---------------------------------
*/
if (*conformal_state == CONFORMAL_METRIC)
{
for(i = 0; i < npoints; i++)
{
gxx[i] = one;
gyy[i] = one;
gzz[i] = one;
}
}
else
{
for(i = 0; i < npoints; i++)
{
gxx[i] = psi[i] * psi[i] * psi[i] * psi[i];
gyy[i] = gxx[i];
gzz[i] = gxx[i];
}
}
memset (gxy, 0, npoints * sizeof (gxy [0]));
memset (gxz, 0, npoints * sizeof (gxz [0]));
memset (gyz, 0, npoints * sizeof (gyz [0]));
/* Time-symmetric data
* -------------------
*/
memset (kxx, 0, npoints * sizeof (kxx [0]));
memset (kyy, 0, npoints * sizeof (kyy [0]));
memset (kzz, 0, npoints * sizeof (kzz [0]));
memset (kxy, 0, npoints * sizeof (kxy [0]));
memset (kxz, 0, npoints * sizeof (kxz [0]));
memset (kyz, 0, npoints * sizeof (kyz [0]));
}
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