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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 <teukolsky_data.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#define SQR(x) ((x) * (x))
#define SIGN(x) ((x) > 0 ? 1.0 : -1.0)
/*
* small number to avoid r=0 singularities
*/
#define EPS 1E-08
void teukolsky_data(CCTK_ARGUMENTS)
{
static TDContext *prev_td;
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
TDContext *td;
double *r_val, *theta_val, *psi_val, *krr_val, *kpp_val, *krt_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 constraints */
if (!prev_td) {
const char *omp_threads = getenv("OMP_NUM_THREADS");
td = td_context_alloc();
if (!td)
CCTK_WARN(0, "Memory allocation failed\n");
td->amplitude = amplitude;
td->nb_coeffs[0] = basis_order_0;
td->nb_coeffs[1] = basis_order_1;
td->basis_scale_factor[0] = scale_factor;
td->basis_scale_factor[1] = scale_factor;
td->solution_branch = solution_branch;
td->max_iter = max_iter;
td->family = family;
if (omp_threads)
td->nb_threads = strtol(omp_threads, NULL, 0);
if (td->nb_threads <= 0)
td->nb_threads = 1;
ret = td_solve(td, NULL);
if (ret < 0)
CCTK_WARN(0, "Error solving the Teukolsky wave initial data equations\n");
prev_td = td;
} else
td = prev_td;
memset(gxz, 0, sizeof(*gxz) * grid_size);
memset(gxy, 0, sizeof(*gxy) * grid_size);
memset(gyz, 0, sizeof(*gyz) * grid_size);
memset(kxy, 0, sizeof(*kxy) * grid_size);
memset(kyz, 0, sizeof(*kyz) * grid_size);
/* construct the coordinate vectors to be passed to the library */
r_val = malloc(sizeof(*r_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
theta_val = malloc(sizeof(*theta_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
psi_val = malloc(sizeof(*psi_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
krr_val = malloc(sizeof(*krr_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
kpp_val = malloc(sizeof(*kpp_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
krt_val = malloc(sizeof(*krt_val) * (cctk_lsh[2] * cctk_lsh[0] + 1));
for (int j = 0; j < cctk_lsh[2]; j++)
for (int i = 0; i < cctk_lsh[0]; i++) {
double xx = x[CCTK_GFINDEX3D(cctkGH, i, 0, j)];
double zz = z[CCTK_GFINDEX3D(cctkGH, i, 0, j)];
double r = sqrt(SQR(xx) + SQR(zz));
double theta = (fabs(r) > 1e-15) ? acos(zz / r) : 0.0;
r_val[j * cctk_lsh[0] + i] = r;
theta_val[j * cctk_lsh[0] + i] = theta;
}
r_val[cctk_lsh[2] * cctk_lsh[0]] = 0.0;
theta_val[cctk_lsh[2] * cctk_lsh[0]] = M_PI / 2;
ret = td_eval_psi(td, cctk_lsh[2] * cctk_lsh[0] + 1, r_val, theta_val,
(const unsigned int [2]){ 0, 0},
psi_val);
ret |= td_eval_krr(td, cctk_lsh[2] * cctk_lsh[0] + 1, r_val, theta_val,
(const unsigned int [2]){ 0, 0},
krr_val);
ret |= td_eval_kpp(td, cctk_lsh[2] * cctk_lsh[0] + 1, r_val, theta_val,
(const unsigned int [2]){ 0, 0},
kpp_val);
ret |= td_eval_krt(td, cctk_lsh[2] * cctk_lsh[0] + 1, r_val, theta_val,
(const unsigned int [2]){ 0, 0},
krt_val);
if (ret)
CCTK_WARN(0, "Error evaluating the variables\n");
for (int j = 0; j < cctkGH->cctk_lsh[2]; j++) {
for (int i = 0; i < cctk_lsh[0]; i++) {
int idx_dst = CCTK_GFINDEX3D(cctkGH, i, 0, j);
int idx_src = j * cctk_lsh[0] + i;
double xx = x[idx_dst], zz = z[idx_dst];
double r = r_val[idx_src];
double theta = theta_val[idx_src];
double s2t = sin(2.0 * theta);
double psi = psi_val[idx_src];
double psi4 = SQR(SQR(psi));
double krr = krr_val[idx_src];
double kpp = kpp_val[idx_src];
double ktt = -(krr + kpp);
double krt = krt_val[idx_src];
gxx[idx_dst] = psi4;
gyy[idx_dst] = psi4;
gzz[idx_dst] = psi4;
kyy[idx_dst] = psi4 * kpp;
if (fabs(r) > 1e-15) {
kxx[idx_dst] = psi4 * (SQR(xx / r) * krr + SQR(zz / r) * ktt + 2.0 * zz * fabs(xx) / (r * SQR(r)) * krt);
kzz[idx_dst] = psi4 * (SQR(zz / r) * krr + SQR(xx / r) * ktt - 2.0 * zz * fabs(xx) / (r * SQR(r)) * krt);
kxz[idx_dst] = psi4 * (xx * zz / SQR(r) * krr - xx * zz / SQR(r) * ktt + (-xx * fabs(xx) + SIGN(xx) * SQR(zz)) * krt / (r * SQR(r)));
} else {
kxx[idx_dst] = psi4 * krr_val[cctk_lsh[0] * cctk_lsh[2]];
kzz[idx_dst] = psi4 * krr;
kxz[idx_dst] = 0.0;
}
}
}
if (!strcmp(initial_lapse, "teukolsky_max")) {
ret = td_eval_lapse(td, cctk_lsh[2] * cctk_lsh[0], r_val, theta_val,
(const unsigned int [2]){ 0, 0}, alp);
if (ret)
CCTK_WARN(0, "Error evaluating the lapse\n");
}
free(r_val);
free(theta_val);
free(psi_val);
free(krr_val);
free(kpp_val);
free(krt_val);
}
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