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#include <ctype.h>
#include <errno.h>
#include <float.h>
#include <limits.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <brill_data.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#define SQR(x) ((x) * (x))
/*
* small number to avoid r=0 singularities
*/
#define EPS 1E-08
void brill_data(CCTK_ARGUMENTS)
{
static BDContext *prev_bd;
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
BDContext *bd;
double *r_val, *z_val, *psi_val, *q_val;
int ret;
int64_t grid_size = CCTK_GFINDEX3D(cctkGH,
cctk_lsh[0] - 1,
cctk_lsh[1] - 1,
cctk_lsh[2] - 1) + 1;
/* on the first run, solve the equation for ψ */
if (!prev_bd) {
const char *omp_threads = getenv("OMP_NUM_THREADS");
bd = bd_context_alloc();
if (!bd)
CCTK_WARN(0, "Memory allocation failed\n");
bd->q_func_type = BD_Q_FUNC_GUNDLACH;
bd->amplitude = amplitude;
bd->eppley_n = eppley_n;
bd->nb_coeffs[0] = basis_order_0;
bd->nb_coeffs[1] = basis_order_1;
bd->basis_scale_factor[0] = scale_factor;
bd->basis_scale_factor[1] = scale_factor;
if (omp_threads)
bd->nb_threads = strtol(omp_threads, NULL, 0);
if (bd->nb_threads <= 0)
bd->nb_threads = 1;
ret = bd_solve(bd);
if (ret < 0)
CCTK_WARN(0, "Error solving the Brill wave initial data equation\n");
prev_bd = bd;
} else
bd = prev_bd;
memset(kxx, 0, sizeof(*kxx) * grid_size);
memset(kyy, 0, sizeof(*kyy) * grid_size);
memset(kzz, 0, sizeof(*kzz) * grid_size);
memset(kxy, 0, sizeof(*kxy) * grid_size);
memset(kxz, 0, sizeof(*kxz) * grid_size);
memset(kyz, 0, sizeof(*kyz) * grid_size);
memset(gxz, 0, sizeof(*kxz) * grid_size);
memset(gyz, 0, sizeof(*kyz) * grid_size);
/* construct the coordinate vectors to be passed to the library */
r_val = malloc(sizeof(*r_val) * cctk_lsh[1] * cctk_lsh[0]);
for (int j = 0; j < cctk_lsh[1]; j++)
for (int i = 0; i < cctk_lsh[0]; i++) {
CCTK_REAL xx = x[CCTK_GFINDEX3D(cctkGH, i, j, 0)];
CCTK_REAL yy = y[CCTK_GFINDEX3D(cctkGH, i, j, 0)];
CCTK_REAL r = sqrt(SQR(xx) + SQR(yy));
r_val[j * cctk_lsh[0] + i] = r;
}
z_val = malloc(sizeof(*z_val) * cctk_lsh[2]);
for (int i = 0; i < cctk_lsh[2]; i++)
z_val[i] = z[CCTK_GFINDEX3D(cctkGH, 0, 0, i)];
psi_val = malloc(sizeof(*psi_val) * grid_size);
q_val = malloc(sizeof(*q_val) * grid_size);
for (int j = 0; j < cctkGH->cctk_lsh[1]; j++) {
double *r_y = r_val + j * cctkGH->cctk_lsh[0];
double *psi_y = psi_val + j * cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[2];
double *q_y = q_val + j * cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[2];
int err;
err = bd_eval_psi(bd, r_y, cctk_lsh[0], z_val, cctk_lsh[2],
(unsigned int[2]){ 0, 0}, psi_y, cctk_lsh[0]);
if (err < 0)
CCTK_WARN(0, "Error evaluating the conformal factor");
err = bd_eval_q(bd, r_y, cctk_lsh[0], z_val, cctk_lsh[2],
(unsigned int[2]){ 0, 0}, q_y, cctk_lsh[0]);
if (err < 0)
CCTK_WARN(0, "Error evaluating the q function");
for (int k = 0; k < cctk_lsh[2]; k++)
for (int i = 0; i < cctk_lsh[0]; i++) {
int index = CCTK_GFINDEX3D(cctkGH, i, j, k);
double xx = x[index], yy = y[index];
double r2 = SQR(xx) + SQR(yy);
double e2q = exp(2 * q_y[k * cctkGH->cctk_lsh[0] + i]);
double psi = psi_y[k * cctk_lsh[0] + i];
double psi4 = SQR(SQR(psi));
if (r2 < EPS)
r2 = EPS;
gxx[index] = psi4 * (e2q + (1 - e2q) * SQR(yy) / r2);
gyy[index] = psi4 * (e2q + (1 - e2q) * SQR(xx) / r2);
gzz[index] = psi4 * e2q;
gxy[index] = psi4 * (-(1.0 - e2q) * xx * yy / r2);
}
}
free(r_val);
free(z_val);
free(psi_val);
free(q_val);
}
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