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// TwoPunctures: File "TwoPunctures.c"
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <ctype.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "TP_utilities.h"
#include "TwoPunctures.h"
static inline double pow2 (const double x)
{
return x*x;
}
// -------------------------------------------------------------------
void
TwoPunctures (CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
int nvar = 1, n1 = npoints_A, n2 = npoints_B, n3 = npoints_phi;
int i, j, k, ntotal = n1 * n2 * n3 * nvar;
double *F;
derivs u, v;
F = dvector (0, ntotal - 1);
allocate_derivs (&u, ntotal);
allocate_derivs (&v, ntotal);
CCTK_INFO ("Beginning elliptic solving");
Newton (nvar, n1, n2, n3, v, 1.e-10, 5);
F_of_v (nvar, n1, n2, n3, v, F, u);
CCTK_INFO ("Interpolating result");
if (CCTK_EQUALS(metric_type, "static conformal")) {
if (CCTK_EQUALS(conformal_storage, "factor")) {
*conformal_state = 1;
} else if (CCTK_EQUALS(conformal_storage, "factor+derivs")) {
*conformal_state = 2;
} else if (CCTK_EQUALS(conformal_storage, "factor+derivs+2nd derivs")) {
*conformal_state = 3;
}
} else {
*conformal_state = 0;
}
for (k = 0; k < cctk_lsh[2]; ++k)
{
for (j = 0; j < cctk_lsh[1]; ++j)
{
for (i = 0; i < cctk_lsh[0]; ++i)
{
const int ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
const double r_plus
= sqrt(pow2(x[ind] - par_b) + pow2(y[ind]) + pow2(z[ind]));
const double r_minus
= sqrt(pow2(x[ind] + par_b) + pow2(y[ind]) + pow2(z[ind]));
const double U = PunctIntPolAtArbitPosition
(0, nvar, n1, n2, n3, v, x[ind], y[ind], z[ind]);
const double psi1 = 1 + 0.5 * par_m_plus / r_plus
+ 0.5 * par_m_minus / r_minus + U;
const double psi4 = pow2(pow2(psi1));
const double psim2 = 1.0/pow2(psi1);
double Aij[3][3];
BY_Aijofxyz (x[ind], y[ind], z[ind], Aij);
switch (*conformal_state) {
case 0:
gxx[ind] = psi4;
gxy[ind] = 0;
gxz[ind] = 0;
gyy[ind] = psi4;
gyz[ind] = 0;
gzz[ind] = psi4;
break;
case 3:
/* not yet supported */
assert (0);
/* fall through */
case 2:
/* not yet supported */
assert (0);
/* fall through */
case 1:
psi[ind] = psi1;
gxx[ind] = 1;
gxy[ind] = 0;
gxz[ind] = 0;
gyy[ind] = 1;
gyz[ind] = 0;
gzz[ind] = 1;
break;
default:
assert(0);
}
kxx[ind] = psim2 * Aij[0][0];
kxy[ind] = psim2 * Aij[0][1];
kxz[ind] = psim2 * Aij[0][2];
kyy[ind] = psim2 * Aij[1][1];
kyz[ind] = psim2 * Aij[1][2];
kzz[ind] = psim2 * Aij[2][2];
}
}
}
free_dvector (F, 0, ntotal - 1);
free_derivs (&u, ntotal);
free_derivs (&v, ntotal);
}
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