void free_camera(camera_info **camera) {
SID_log("Freeing camera...", SID_LOG_OPEN);
free_perspective(&((*camera)->perspective));
SID_free(SID_FARG(*camera)->mask_RGB);
SID_free(SID_FARG(*camera)->mask_Y);
SID_free(SID_FARG(*camera)->mask_RGBY);
SID_free(SID_FARG(*camera)->mask_RGBY_MARKED);
for(int i_depth = 0; i_depth < (*camera)->n_depth_alloc; i_depth++) {
if((*camera)->image_RGB != NULL)
free_image(&((*camera)->image_RGB[i_depth]));
if((*camera)->image_RGB_left != NULL)
free_image(&((*camera)->image_RGB_left[i_depth]));
if((*camera)->image_RGB_right != NULL)
free_image(&((*camera)->image_RGB_right[i_depth]));
if((*camera)->image_Y != NULL)
free_image(&((*camera)->image_Y[i_depth]));
if((*camera)->image_Y_left != NULL)
free_image(&((*camera)->image_Y_left[i_depth]));
if((*camera)->image_Y_right != NULL)
free_image(&((*camera)->image_Y_right[i_depth]));
if((*camera)->image_RGBY != NULL)
free_image(&((*camera)->image_RGBY[i_depth]));
if((*camera)->image_RGBY_left != NULL)
free_image(&((*camera)->image_RGBY_left[i_depth]));
if((*camera)->image_RGBY_right != NULL)
free_image(&((*camera)->image_RGBY_right[i_depth]));
if((*camera)->image_RY != NULL)
free_image(&((*camera)->image_RY[i_depth]));
if((*camera)->image_RY_left != NULL)
free_image(&((*camera)->image_RY_left[i_depth]));
if((*camera)->image_RY_right != NULL)
free_image(&((*camera)->image_RY_right[i_depth]));
if((*camera)->image_GY != NULL)
free_image(&((*camera)->image_GY[i_depth]));
if((*camera)->image_GY_left != NULL)
free_image(&((*camera)->image_GY_left[i_depth]));
if((*camera)->image_GY_right != NULL)
free_image(&((*camera)->image_GY_right[i_depth]));
if((*camera)->image_BY != NULL)
free_image(&((*camera)->image_BY[i_depth]));
if((*camera)->image_BY_left != NULL)
free_image(&((*camera)->image_BY_left[i_depth]));
if((*camera)->image_BY_right != NULL)
free_image(&((*camera)->image_BY_right[i_depth]));
if((*camera)->image_RGBY_MARKED != NULL)
free_image(&((*camera)->image_RGBY_MARKED[i_depth]));
if((*camera)->image_RGBY_MARKED_left != NULL)
free_image(&((*camera)->image_RGBY_MARKED_left[i_depth]));
if((*camera)->image_RGBY_MARKED_right != NULL)
free_image(&((*camera)->image_RGBY_MARKED_right[i_depth]));
}
SID_free(SID_FARG(*camera)->image_RGB);
SID_free(SID_FARG(*camera)->image_RGB_left);
SID_free(SID_FARG(*camera)->image_RGB_right);
SID_free(SID_FARG(*camera)->image_Y);
SID_free(SID_FARG(*camera)->image_Y_left);
SID_free(SID_FARG(*camera)->image_Y_right);
SID_free(SID_FARG(*camera)->image_RGBY);
SID_free(SID_FARG(*camera)->image_RGBY_left);
SID_free(SID_FARG(*camera)->image_RGBY_right);
SID_free(SID_FARG(*camera)->image_RY);
SID_free(SID_FARG(*camera)->image_RY_left);
SID_free(SID_FARG(*camera)->image_RY_right);
SID_free(SID_FARG(*camera)->image_GY);
SID_free(SID_FARG(*camera)->image_GY_left);
SID_free(SID_FARG(*camera)->image_GY_right);
SID_free(SID_FARG(*camera)->image_BY);
SID_free(SID_FARG(*camera)->image_BY_left);
SID_free(SID_FARG(*camera)->image_BY_right);
SID_free(SID_FARG(*camera)->image_RGBY_MARKED);
SID_free(SID_FARG(*camera)->image_RGBY_MARKED_left);
SID_free(SID_FARG(*camera)->image_RGBY_MARKED_right);
SID_free(SID_FARG(*camera)->mask_RGB_left);
SID_free(SID_FARG(*camera)->mask_Y_left);
SID_free(SID_FARG(*camera)->mask_RGBY_left);
SID_free(SID_FARG(*camera)->mask_RGBY_MARKED_left);
SID_free(SID_FARG(*camera)->mask_RGB_right);
SID_free(SID_FARG(*camera)->mask_Y_right);
SID_free(SID_FARG(*camera)->mask_RGBY_right);
SID_free(SID_FARG(*camera)->mask_RGBY_MARKED_right);
if((*camera)->RGB_gamma != NULL)
free_interpolate(SID_FARG(*camera)->RGB_gamma, NULL);
if((*camera)->transfer_list != NULL)
ADaPS_free(SID_FARG(*camera)->transfer_list);
if((*camera)->Y_gamma != NULL)
free_interpolate(SID_FARG(*camera)->Y_gamma, NULL);
// Free camera depth information
free_camera_depths(*camera);
SID_free((void **)camera);
SID_log("Done.", SID_LOG_CLOSE);
}
int main(int argc, char *argv[]) {
SID_Init(&argc, &argv, NULL);
// Parse arguments
char filename_cosmo[SID_MAX_FILENAME_LENGTH];
char filename_list_in[SID_MAX_FILENAME_LENGTH];
strcpy(filename_cosmo, argv[1]);
strcpy(filename_list_in, argv[2]);
// Read input list
char * line = NULL;
size_t line_length = 0;
FILE * fp_in = fopen(filename_list_in, "r");
int n_list = count_lines_data(fp_in);
double *a_list = (double *)SID_malloc(sizeof(double) * n_list);
for(int i_list = 0; i_list < n_list; i_list++) {
grab_next_line_data(fp_in, &line, &line_length);
grab_double(line, 1, &(a_list[i_list]));
}
SID_free(SID_FARG line);
double a_lo_table = a_list[0];
double a_hi_table = a_list[n_list - 1];
for(int i_list = 0; i_list < n_list; i_list++) {
a_lo_table = GBP_MIN(a_lo_table, a_list[i_list]);
a_hi_table = GBP_MAX(a_hi_table, a_list[i_list]);
}
a_lo_table = GBP_MIN(a_lo_table, 1e-4);
SID_log("Creating extended snapshot list...", SID_LOG_OPEN);
// Initialize cosmology
cosmo_info *cosmo = NULL;
read_gbpCosmo_file(&cosmo, filename_cosmo);
// Creeate interpolation tables
int n_table = 500;
double *a_table = (double *)SID_malloc(n_table * sizeof(double));
double *t_table = (double *)SID_malloc(n_table * sizeof(double));
double *n_dyn_table = (double *)SID_malloc(n_table * sizeof(double));
double da_table = (a_hi_table - a_lo_table) / (double)(n_table - 1);
for(int i_table = 0; i_table < n_table; i_table++) {
// Expansion factor
if(i_table == 0)
a_table[i_table] = a_lo_table;
else if(i_table == (n_table - 1))
a_table[i_table] = a_hi_table;
else
a_table[i_table] = a_table[0] + da_table * (double)i_table;
// Cosmic time
t_table[i_table] = t_age_a(a_table[i_table], &cosmo);
// Number of dynamical times
if(i_table == 0)
n_dyn_table[i_table] = 0.;
else
n_dyn_table[i_table] = delta_n_dyn(a_table[0], a_table[i_table], &cosmo);
}
interp_info *n_of_a_interp = NULL;
init_interpolate(a_table, n_dyn_table, n_table, gsl_interp_akima, &n_of_a_interp);
// Generate desired table
double a_last = 0.;
double z_last = 0.;
double t_last = 0.;
double n_last = 0.;
double a_i = 0.;
double z_i = 1.e22;
double t_i = 0.;
double n_i = 0.;
double da = 0.;
double dz = 0.;
double dt = 0.;
double dn = 0.;
int i_column = 1;
printf("# Table of times, etc. generated from expansion factors in {%s}\n", filename_list_in);
printf("# Column (%02d): snapshot number\n", i_column++);
printf("# (%02d): a:=expansion factor\n", i_column++);
printf("# (%02d): da\n", i_column++);
printf("# (%02d): z:=redshift\n", i_column++);
printf("# (%02d): dz\n", i_column++);
printf("# (%02d): t:=cosmic time [years]\n", i_column++);
printf("# (%02d): dt\n", i_column++);
printf("# (%02d): n_dyn:=No. of dynamical times\n", i_column++);
printf("# (%02d): dn_dyn\n", i_column++);
for(int i_list = 0; i_list < n_list; i_list++) {
a_last = a_i;
z_last = z_i;
t_last = t_i;
n_last = n_i;
a_i = a_list[i_list];
z_i = z_of_a(a_i);
t_i = t_age_a(a_i, &cosmo) / S_PER_YEAR;
n_i = interpolate(n_of_a_interp, a_i);
da = a_i - a_last;
dz = fabs(z_i - z_last);
dt = t_i - t_last;
dn = n_i - n_last;
printf("%03d %le %le %le %le %le %le %le %le\n", i_list, a_i, da, z_i, dz, t_i, dt, n_i, dn);
}
// Clean-up
SID_free(SID_FARG a_list);
SID_free(SID_FARG a_table);
SID_free(SID_FARG t_table);
SID_free(SID_FARG n_dyn_table);
free_interpolate(SID_FARG n_of_a_interp, NULL);
free_cosmo(&cosmo);
SID_log("Done.", SID_LOG_CLOSE);
SID_Finalize();
}
void map_to_grid(size_t n_particles_local,
GBPREAL * x_particles_local,
GBPREAL * y_particles_local,
GBPREAL * z_particles_local,
GBPREAL * v_particles_local,
GBPREAL * w_particles_local,
cosmo_info *cosmo,
double redshift,
int distribution_scheme,
double normalization_constant,
field_info *field,
field_info *field_norm,
int mode) {
size_t i_p;
int i_k;
size_t i_b;
size_t i_grid;
int i_coord;
int i_i[3];
int j_i[3];
int k_i[3];
size_t n_particles;
double v_p;
double w_p;
int flag_valued_particles;
int flag_weight_particles;
int flag_weight;
int flag_active;
int flag_viable;
double k_mag;
double dk;
int n_powspec;
int mode_powspec;
size_t * n_mode_powspec;
double * k_powspec;
double * kmin_powspec;
double * kmax_powspec;
double * k_powspec_bin;
double * P_powspec;
double * dP_powspec;
double k_min;
double k_max;
double norm_local;
double normalization;
GBPREAL x_i;
GBPREAL x_particle_i;
GBPREAL y_particle_i;
GBPREAL z_particle_i;
double kernal_offset;
int W_search_lo;
int W_search_hi;
size_t receive_left_size = 0;
size_t receive_right_size = 0;
size_t index_best;
int n_buffer[3];
size_t n_send_left;
size_t n_send_right;
size_t send_size_left;
size_t send_size_right;
GBPREAL * send_left = NULL;
GBPREAL * send_right = NULL;
GBPREAL * receive_left = NULL;
GBPREAL * receive_right = NULL;
GBPREAL * send_left_norm = NULL;
GBPREAL * send_right_norm = NULL;
GBPREAL * receive_left_norm = NULL;
GBPREAL * receive_right_norm = NULL;
double r_i, r_min, r_i_max = 0;
double W_i;
int index_i;
interp_info *P_k_interp;
double * r_Daub;
double * W_Daub;
double h_Hubble;
int n_Daub;
interp_info *W_r_Daub_interp = NULL;
int i_rank;
size_t buffer_index;
int i_test;
double accumulator;
// Compute the total poulation size and print a status message
calc_sum_global(&n_particles_local, &n_particles, 1, SID_SIZE_T, CALC_MODE_DEFAULT, SID_COMM_WORLD);
SID_log("Distributing %zu items onto a %dx%dx%d grid...", SID_LOG_OPEN, n_particles, field->n[0], field->n[1], field->n[2]);
// If we've been given a normalization field, make sure it's got the same geometry as the results field
if(field_norm != NULL) {
if(field->n_d != field_norm->n_d)
SID_exit_error("grid dimension counts don't match (ie. %d!=%d)", SID_ERROR_LOGIC, field->n_d,
field_norm->n_d);
int i_d;
for(i_d = 0; i_d < field->n_d; i_d++) {
if(field->n[i_d] != field_norm->n[i_d])
SID_exit_error("grid dimension No. %d's sizes don't match (ie. %d!=%d)", SID_ERROR_LOGIC, i_d,
field->n[i_d], field_norm->n[i_d]);
if(field->n_R_local[i_d] != field_norm->n_R_local[i_d])
SID_exit_error("grid dimension No. %d's slab sizes don't match (ie. %d!=%d)", SID_ERROR_LOGIC, i_d,
field->n_R_local[i_d], field_norm->n_R_local[i_d]);
if(field->i_R_start_local[i_d] != field_norm->i_R_start_local[i_d])
SID_exit_error("grid dimension No. %d's start positions don't match (ie. %le!=%le)", SID_ERROR_LOGIC,
i_d, field->i_R_start_local[i_d], field_norm->i_R_start_local[i_d]);
if(field->i_R_stop_local[i_d] != field_norm->i_R_stop_local[i_d])
SID_exit_error("grid dimension No. %d's stop positions don't match (ie. %le!=%le)", SID_ERROR_LOGIC,
i_d, field->i_R_stop_local[i_d], field_norm->i_R_stop_local[i_d]);
}
if(field->n_field != field_norm->n_field)
SID_exit_error("grid field sizes don't match (ie. %d!=%d)", SID_ERROR_LOGIC, field->n_field,
field_norm->n_field);
if(field->n_field_R_local != field_norm->n_field_R_local)
SID_exit_error("grid local field sizes don't match (ie. %d!=%d)", SID_ERROR_LOGIC, field->n_field_R_local,
field_norm->n_field_R_local);
if(field->total_local_size != field_norm->total_local_size)
SID_exit_error("grid total local sizes don't match (ie. %d!=%d)", SID_ERROR_LOGIC, field->total_local_size,
field_norm->total_local_size);
}
// Set some variables
if(v_particles_local != NULL)
flag_valued_particles = GBP_TRUE;
else {
flag_valued_particles = GBP_FALSE;
v_p = 1.;
}
if(w_particles_local != NULL)
flag_weight_particles = GBP_TRUE;
else {
flag_weight_particles = GBP_FALSE;
w_p = 1.;
}
h_Hubble = ((double *)ADaPS_fetch(cosmo, "h_Hubble"))[0];
// Initializing the mass assignment scheme
switch(distribution_scheme) {
case MAP2GRID_DIST_DWT20:
W_search_lo = 2;
W_search_hi = 7;
kernal_offset = 2.5;
compute_Daubechies_scaling_fctns(20, 5, &r_Daub, &W_Daub, &n_Daub);
init_interpolate(r_Daub, W_Daub, n_Daub, gsl_interp_cspline, &W_r_Daub_interp);
SID_free(SID_FARG r_Daub);
SID_free(SID_FARG W_Daub);
SID_log("(using D20 scale function kernal)...", SID_LOG_CONTINUE);
break;
case MAP2GRID_DIST_DWT12:
W_search_lo = 1;
W_search_hi = 6;
kernal_offset = 1.75;
compute_Daubechies_scaling_fctns(12, 5, &r_Daub, &W_Daub, &n_Daub);
init_interpolate(r_Daub, W_Daub, (size_t)n_Daub, gsl_interp_cspline, &W_r_Daub_interp);
SID_free(SID_FARG r_Daub);
SID_free(SID_FARG W_Daub);
SID_log("(using D12 scale function kernal)...", SID_LOG_CONTINUE);
break;
case MAP2GRID_DIST_TSC:
W_search_lo = 2;
W_search_hi = 2;
SID_log("(using triangular shaped function kernal)...", SID_LOG_CONTINUE);
break;
case MAP2GRID_DIST_CIC:
SID_log("(using cloud-in-cell kernal)...", SID_LOG_CONTINUE);
case MAP2GRID_DIST_NGP:
default:
W_search_lo = 1;
W_search_hi = 1;
SID_log("(using nearest grid point kernal)...", SID_LOG_CONTINUE);
break;
}
// Initializing slab buffers
n_send_left = (size_t)(field->n[0] * field->n[1] * W_search_lo);
n_send_right = (size_t)(field->n[0] * field->n[1] * W_search_hi);
send_size_left = n_send_left * sizeof(GBPREAL);
send_size_right = n_send_right * sizeof(GBPREAL);
send_left = (GBPREAL *)SID_calloc(send_size_left);
send_right = (GBPREAL *)SID_calloc(send_size_right);
receive_left = (GBPREAL *)SID_calloc(send_size_right);
receive_right = (GBPREAL *)SID_calloc(send_size_left);
if(field_norm != NULL) {
send_left_norm = (GBPREAL *)SID_calloc(send_size_left);
send_right_norm = (GBPREAL *)SID_calloc(send_size_right);
receive_left_norm = (GBPREAL *)SID_calloc(send_size_right);
receive_right_norm = (GBPREAL *)SID_calloc(send_size_left);
}
// Clear the field
if(!SID_CHECK_BITFIELD_SWITCH(mode, MAP2GRID_MODE_NOCLEAN)) {
SID_log("Clearing fields...", SID_LOG_OPEN);
clear_field(field);
if(field_norm != NULL)
clear_field(field);
SID_log("Done.", SID_LOG_CLOSE);
}
// It is essential that we not pad the field for the simple way that we add-in the boundary buffers below
set_FFT_padding_state(field, GBP_FALSE);
if(field_norm != NULL)
set_FFT_padding_state(field_norm, GBP_FALSE);
// Create the mass distribution
SID_log("Performing grid assignment...", SID_LOG_OPEN | SID_LOG_TIMER);
// Loop over all the objects
pcounter_info pcounter;
SID_Init_pcounter(&pcounter, n_particles_local, 10);
for(i_p = 0, norm_local = 0.; i_p < n_particles_local; i_p++) {
double norm_i;
double value_i;
if(flag_valued_particles)
v_p = (double)(v_particles_local[i_p]);
if(flag_weight_particles)
w_p = (double)(w_particles_local[i_p]);
norm_i = w_p;
value_i = v_p * norm_i;
// Particle's position
x_particle_i = (GBPREAL)x_particles_local[i_p];
y_particle_i = (GBPREAL)y_particles_local[i_p];
z_particle_i = (GBPREAL)z_particles_local[i_p];
// Quantize it onto the grid
x_particle_i /= (GBPREAL)field->dR[0];
y_particle_i /= (GBPREAL)field->dR[1];
z_particle_i /= (GBPREAL)field->dR[2];
i_i[0] = (int)x_particle_i; // position in grid-coordinates
i_i[1] = (int)y_particle_i; // position in grid-coordinates
i_i[2] = (int)z_particle_i; // position in grid-coordinates
// Apply the kernel
flag_viable = GBP_TRUE;
double x_i_effective;
for(j_i[0] = -W_search_lo; j_i[0] <= W_search_hi; j_i[0]++) {
for(j_i[1] = -W_search_lo; j_i[1] <= W_search_hi; j_i[1]++) {
for(j_i[2] = -W_search_lo; j_i[2] <= W_search_hi; j_i[2]++) {
// Compute distance to each grid point being searched against ...
flag_active = GBP_TRUE;
for(i_coord = 0, W_i = 1.; i_coord < 3; i_coord++) {
switch(i_coord) {
case 0:
x_i = (GBPREAL)(i_i[0] + j_i[0]) - x_particle_i;
break;
case 1:
x_i = (GBPREAL)(i_i[1] + j_i[1]) - y_particle_i;
break;
case 2:
x_i = (GBPREAL)(i_i[2] + j_i[2]) - z_particle_i;
break;
}
switch(distribution_scheme) {
// Distribute with a Daubechies wavelet transform of 12th or 20th order a la Cui et al '08
case MAP2GRID_DIST_DWT12:
case MAP2GRID_DIST_DWT20:
x_i_effective = x_i + kernal_offset;
if(x_i_effective > 0.)
W_i *= interpolate(W_r_Daub_interp, x_i_effective);
else
flag_active = GBP_FALSE;
break;
// Distribute using the triangular shaped cloud (TSC) method
case MAP2GRID_DIST_TSC:
if(x_i < 0.5)
W_i *= (0.75 - x_i * x_i);
else if(x_i < 1.5)
W_i *= 0.5 * (1.5 - fabs(x_i)) * (1.5 - fabs(x_i));
else
flag_active = GBP_FALSE;
break;
// Distribute using the cloud-in-cell (CIC) method
case MAP2GRID_DIST_CIC:
if(fabs(x_i) < 1.)
W_i *= (1. - fabs(x_i));
else
flag_active = GBP_FALSE;
break;
// Distribute using "nearest grid point" (NGP; ie. the simplest and default) method
case MAP2GRID_DIST_NGP:
default:
if(fabs(x_i) <= 0.5 && flag_viable)
W_i *= 1.;
else
flag_active = GBP_FALSE;
break;
}
}
if(flag_active) { // This flags-out regions of the kernal with no support to save some time
// Set the grid indices (enforce periodic BCs; do x-coordinate last) ...
// ... y-coordinate ...
k_i[1] = (i_i[1] + j_i[1]);
if(k_i[1] < 0)
k_i[1] += field->n[1];
else
k_i[1] = k_i[1] % field->n[1];
// ... z-coordinate ...
k_i[2] = i_i[2] + j_i[2];
if(k_i[2] < 0)
k_i[2] += field->n[2];
else
k_i[2] = k_i[2] % field->n[2];
// ... x-coordinate ...
// Depending on x-index, add contribution to the
// local array or to the slab buffers.
k_i[0] = (i_i[0] + j_i[0]);
if(k_i[0] < field->i_R_start_local[0]) {
k_i[0] -= (field->i_R_start_local[0] - W_search_lo);
if(k_i[0] < 0)
SID_exit_error("Left slab buffer limit exceeded by %d element(s).", SID_ERROR_LOGIC,
-k_i[0]);
send_left[index_FFT_R(field, k_i)] += W_i * value_i;
if(field_norm != NULL)
send_left_norm[index_FFT_R(field_norm, k_i)] += W_i * norm_i;
} else if(k_i[0] > field->i_R_stop_local[0]) {
k_i[0] -= (field->i_R_stop_local[0] + 1);
if(k_i[0] >= W_search_hi)
SID_exit_error("Right slab buffer limit exceeded by %d element(s).", SID_ERROR_LOGIC,
k_i[0] - W_search_hi + 1);
else {
send_right[index_FFT_R(field, k_i)] += W_i * value_i;
if(field_norm != NULL)
send_right_norm[index_FFT_R(field_norm, k_i)] += W_i * norm_i;
}
} else {
field->field_local[index_local_FFT_R(field, k_i)] += W_i * value_i;
if(field_norm != NULL)
field_norm->field_local[index_local_FFT_R(field_norm, k_i)] += W_i * norm_i;
}
flag_viable = GBP_FALSE;
}
}
}
}
// Report the calculation's progress
SID_check_pcounter(&pcounter, i_p);
}
SID_log("Done.", SID_LOG_CLOSE);
// Perform exchange of slab buffers and add them to the local mass distribution.
// Note: it's important that the FFT field not be padded (see above, where
// this is set) for this to work the way it's done.
SID_log("Adding-in the slab buffers...", SID_LOG_OPEN | SID_LOG_TIMER);
// Numerator first ...
exchange_slab_buffer_left(send_left, send_size_left, receive_right, &receive_right_size, &(field->slab));
exchange_slab_buffer_right(send_right, send_size_right, receive_left, &receive_left_size, &(field->slab));
for(i_b = 0; i_b < n_send_right; i_b++)
field->field_local[i_b] += receive_left[i_b];
for(i_b = 0; i_b < n_send_left; i_b++)
field->field_local[field->n_field_R_local - n_send_left + i_b] += receive_right[i_b];
// ... then denominator (if it's being used)
if(field_norm != NULL) {
exchange_slab_buffer_left(send_left_norm, send_size_left, receive_right_norm, &receive_right_size, &(field_norm->slab));
exchange_slab_buffer_right(send_right_norm, send_size_right, receive_left_norm, &receive_left_size, &(field_norm->slab));
for(i_b = 0; i_b < n_send_right; i_b++)
field_norm->field_local[i_b] += receive_left_norm[i_b];
for(i_b = 0; i_b < n_send_left; i_b++)
field_norm->field_local[field_norm->n_field_R_local - n_send_left + i_b] += receive_right[i_b];
}
SID_free(SID_FARG send_left);
SID_free(SID_FARG send_right);
SID_free(SID_FARG receive_left);
SID_free(SID_FARG receive_right);
if(field_norm != NULL) {
SID_free(SID_FARG send_left_norm);
SID_free(SID_FARG send_right_norm);
SID_free(SID_FARG receive_left_norm);
SID_free(SID_FARG receive_right_norm);
}
SID_log("Done.", SID_LOG_CLOSE);
// Recompute local normalization (more accurate for large sample sizes)
if(!SID_CHECK_BITFIELD_SWITCH(mode, MAP2GRID_MODE_NONORM)) {
SID_log("Applying normalization...", SID_LOG_OPEN);
if(field_norm != NULL) {
for(i_grid = 0; i_grid < field->n_field_R_local; i_grid++) {
if(field_norm->field_local[i_grid] != 0)
field->field_local[i_grid] /= field_norm->field_local[i_grid];
}
}
if(SID_CHECK_BITFIELD_SWITCH(mode, MAP2GRID_MODE_APPLYFACTOR)) {
for(i_grid = 0; i_grid < field->n_field_R_local; i_grid++)
field->field_local[i_grid] *= normalization_constant;
}
if(SID_CHECK_BITFIELD_SWITCH(mode, MAP2GRID_MODE_FORCENORM)) {
norm_local = 0;
for(i_grid = 0; i_grid < field->n_field_R_local; i_grid++)
norm_local += (double)field->field_local[i_grid];
calc_sum_global(&norm_local, &normalization, 1, SID_DOUBLE, CALC_MODE_DEFAULT, SID_COMM_WORLD);
double normalization_factor;
normalization_factor = normalization_constant / normalization;
for(i_grid = 0; i_grid < field->n_field_R_local; i_grid++)
field->field_local[i_grid] *= normalization_factor;
}
SID_log("Done.", SID_LOG_CLOSE, normalization);
}
if(W_r_Daub_interp != NULL)
free_interpolate(SID_FARG W_r_Daub_interp, NULL);
SID_log("Done.", SID_LOG_CLOSE);
}
int compute_group_analysis(halo_properties_info *properties,
halo_profile_info *profile,
double (*p_i_fctn) (void *,int,int),
double (*v_i_fctn) (void *,int,int),
size_t (*id_i_fctn)(void *,int),
void *params,
double box_size,
double particle_mass,
int n_particles,
double expansion_factor,
double *x,
double *y,
double *z,
double *vx,
double *vy,
double *vz,
double *R,
size_t **R_index_in,
int flag_manual_centre,
int flag_compute_shapes,
cosmo_info *cosmo){
size_t *R_index;
int i,j;
int i_profile;
int j_profile;
int k_profile;
int n_profile;
size_t i_particle;
size_t j_particle;
size_t k_particle;
int next_bin_particle;
interp_info *V_R_interpolate;
interp_info *vir_interpolate;
int i_bin;
int n_in_bin;
double n_per_bin;
int n_cumulative;
double V1;
double V2;
double dV;
double dM;
double sigma_r_mean;
double sigma_t_mean;
double sigma_T_mean;
double sigma_P_mean;
double sigma_mean;
double x_COM_accumulator;
double y_COM_accumulator;
double z_COM_accumulator;
double vx_COM_accumulator;
double vy_COM_accumulator;
double vz_COM_accumulator;
double spin_x_accumulator;
double spin_y_accumulator;
double spin_z_accumulator;
double r_xy;
double v_tot,v_rad,v_tan;
double v_x_mean,v_y_mean,v_z_mean,v_rad_mean;
double shape_eigen_values[3];
double shape_eigen_vectors[3][3];
double x_COM,y_COM,z_COM,R_COM;
double r_c[MAX_PROFILE_BINS_P1];
double v_c[MAX_PROFILE_BINS_P1];
double r_interp[MAX_PROFILE_BINS];
double y_interp[MAX_PROFILE_BINS];
size_t n_bins_temp;
double V_max,R_max;
double Delta,Omega;
double norm;
int flag_interpolated=FALSE;
const gsl_interp_type *interp_type;
double sigma_cor,sigma_halo;
double M_cor,M_halo;
double x_vir,gamma;
double h_Hubble=((double *)ADaPS_fetch(cosmo,"h_Hubble"))[0];
double Omega_M =((double *)ADaPS_fetch(cosmo,"Omega_M"))[0];
double redshift=z_of_a(expansion_factor);
Delta=Delta_vir(redshift,cosmo);
Omega=1.;
// Initialize properties
properties->id_MBP =id_i_fctn(params,0);//id_array[index_MBP];
properties->n_particles =n_particles;
properties->position_COM[0]=0.;
properties->position_COM[1]=0.;
properties->position_COM[2]=0.;
properties->position_MBP[0]=(float)p_i_fctn(params,0,0);//(x_array[index_MBP]);
properties->position_MBP[1]=(float)p_i_fctn(params,1,0);//(y_array[index_MBP]);
properties->position_MBP[2]=(float)p_i_fctn(params,2,0);//(z_array[index_MBP]);
properties->velocity_COM[0]=0.;
properties->velocity_COM[1]=0.;
properties->velocity_COM[2]=0.;
properties->velocity_MBP[0]=(float)v_i_fctn(params,0,0);//(vx_array[index_MBP]);
properties->velocity_MBP[1]=(float)v_i_fctn(params,1,0);//(vy_array[index_MBP]);
properties->velocity_MBP[2]=(float)v_i_fctn(params,2,0);//(vz_array[index_MBP]);
properties->M_vir =0.;
properties->R_vir =0.;
properties->R_halo =0.;
properties->R_max =0.;
properties->V_max =0.;
properties->sigma_v =0.;
properties->spin[0] =0.;
properties->spin[1] =0.;
properties->spin[2] =0.;
properties->q_triaxial =1.;
properties->s_triaxial =1.;
for(i=0;i<3;i++){
for(j=0;j<3;j++)
properties->shape_eigen_vectors[i][j]=0.;
properties->shape_eigen_vectors[i][i]=1.;
}
// Set the number of profile bins and the number of particles per bin
profile->n_bins=MAX(MIN_PROFILE_BINS,MIN((int)((6.2*log10((double)n_particles)-3.5)+((double)n_particles/1000.)+1),MAX_PROFILE_BINS));
n_per_bin =(double)(n_particles)/(double)profile->n_bins;
// There's nothing to do if there are no particles
if(n_particles==0)
profile->n_bins=0;
else{
// Create a v_c(0)=0 bin
r_c[0]=0.;
v_c[0]=0.;
// Initialize profiles
for(i_bin=0;i_bin<profile->n_bins;i_bin++){
profile->bins[i_bin].r_med =0.;
profile->bins[i_bin].r_max =0.;
profile->bins[i_bin].n_particles =0;
profile->bins[i_bin].M_r =0.;
profile->bins[i_bin].rho =0.;
profile->bins[i_bin].overdensity =0.;
profile->bins[i_bin].position_COM[0] =0.;
profile->bins[i_bin].position_COM[1] =0.;
profile->bins[i_bin].position_COM[2] =0.;
profile->bins[i_bin].velocity_COM[0] =0.;
profile->bins[i_bin].velocity_COM[1] =0.;
profile->bins[i_bin].velocity_COM[2] =0.;
profile->bins[i_bin].sigma_rad =0.;
profile->bins[i_bin].sigma_tan =0.;
profile->bins[i_bin].sigma_tot =0.;
profile->bins[i_bin].spin[0] =0.;
profile->bins[i_bin].spin[1] =0.;
profile->bins[i_bin].spin[2] =0.;
profile->bins[i_bin].q_triaxial =1.;
profile->bins[i_bin].s_triaxial =1.;
for(i=0;i<3;i++){
for(j=0;j<3;j++)
profile->bins[i_bin].shape_eigen_vectors[i][j]=0.;
profile->bins[i_bin].shape_eigen_vectors[i][i]=1.;
}
}
// Fill temporary arrays for particle positions, radii (all w.r.t MBP) and velocities
// Also, enforce periodic box on particle positions
double x_cen;
double y_cen;
double z_cen;
x_cen=(double)properties->position_MBP[0];
y_cen=(double)properties->position_MBP[1];
z_cen=(double)properties->position_MBP[2];
if(flag_manual_centre){
double x_cen_manual;
double y_cen_manual;
double z_cen_manual;
// Compute a rough comoving centre
for(j_particle=0;j_particle<n_particles;j_particle++){
x[j_particle]=d_periodic(p_i_fctn(params,0,j_particle)-x_cen,box_size);//(double)(x_array[k_particle])-x_cen,box_size);
y[j_particle]=d_periodic(p_i_fctn(params,1,j_particle)-y_cen,box_size);//(double)(y_array[k_particle])-y_cen,box_size);
z[j_particle]=d_periodic(p_i_fctn(params,2,j_particle)-z_cen,box_size);//(double)(z_array[k_particle])-z_cen,box_size);
}
// Refine it with shrinking spheres
int n_iterations;
n_iterations=compute_centroid3D(NULL,
x,
y,
z,
n_particles,
1e-3, // 1 kpc
0.75,
30,
CENTROID3D_MODE_FACTOR|CENTROID3D_MODE_INPLACE,
&x_cen_manual,
&y_cen_manual,
&z_cen_manual);
x_cen+=x_cen_manual;
y_cen+=y_cen_manual;
z_cen+=z_cen_manual;
properties->position_MBP[0]=x_cen;
properties->position_MBP[1]=y_cen;
properties->position_MBP[2]=z_cen;
if(properties->position_MBP[0]< box_size) properties->position_MBP[0]+=box_size;
if(properties->position_MBP[1]< box_size) properties->position_MBP[1]+=box_size;
if(properties->position_MBP[2]< box_size) properties->position_MBP[2]+=box_size;
if(properties->position_MBP[0]>=box_size) properties->position_MBP[0]-=box_size;
if(properties->position_MBP[1]>=box_size) properties->position_MBP[1]-=box_size;
if(properties->position_MBP[2]>=box_size) properties->position_MBP[2]-=box_size;
}
for(j_particle=0;j_particle<n_particles;j_particle++){
// ... halo-centric particle positions ...
x[j_particle]=expansion_factor*d_periodic(p_i_fctn(params,0,j_particle)-x_cen,box_size);//((double)x_array[k_particle])-x_cen,box_size);
y[j_particle]=expansion_factor*d_periodic(p_i_fctn(params,1,j_particle)-y_cen,box_size);//((double)y_array[k_particle])-y_cen,box_size);
z[j_particle]=expansion_factor*d_periodic(p_i_fctn(params,2,j_particle)-z_cen,box_size);//((double)z_array[k_particle])-z_cen,box_size);
// ... velocities ...
vx[j_particle]=v_i_fctn(params,0,j_particle);//(double)(vx_array[k_particle]);
vy[j_particle]=v_i_fctn(params,1,j_particle);//(double)(vy_array[k_particle]);
vz[j_particle]=v_i_fctn(params,2,j_particle);//(double)(vz_array[k_particle]);
// ... particle radii ...
R[j_particle]=sqrt(x[j_particle]*x[j_particle]+y[j_particle]*y[j_particle]+z[j_particle]*z[j_particle]);
}
// Sort particles by radius
merge_sort((void *)R,(size_t)n_particles,R_index_in,SID_DOUBLE,SORT_COMPUTE_INDEX,SORT_COMPUTE_NOT_INPLACE);
R_index=(*R_index_in);
// Use the average of the central 30 particles for the MBP velocity if we are
// manually computing centres
if(flag_manual_centre){
double vx_cen_temp=0.;
double vy_cen_temp=0.;
double vz_cen_temp=0.;
int n_cen =0;
for(i_particle=0;i_particle<MIN(30,n_particles);i_particle++){
vx_cen_temp+=vx[i_particle];
vy_cen_temp+=vy[i_particle];
vz_cen_temp+=vz[i_particle];
n_cen++;
}
properties->velocity_MBP[0]=vx_cen_temp/(double)n_cen;
properties->velocity_MBP[1]=vy_cen_temp/(double)n_cen;
properties->velocity_MBP[2]=vz_cen_temp/(double)n_cen;
}
// We need the COM velocity at R_vir before we can get halo centric velocities. Thus,
// we need the overdensity profile first
x_COM_accumulator =0.;
y_COM_accumulator =0.;
z_COM_accumulator =0.;
vx_COM_accumulator =0.;
vy_COM_accumulator =0.;
vz_COM_accumulator =0.;
V2 =0.;
n_cumulative =0;
for(i_bin=0,i_particle=0;i_bin<profile->n_bins;i_bin++,i_particle+=n_in_bin){
V1=V2; // Volumes
// ... particle numbers ...
if(i_bin<profile->n_bins-1)
n_in_bin=(int)((double)(i_bin+1)*n_per_bin)-i_particle;
else
n_in_bin=n_particles-i_particle;
n_cumulative +=n_in_bin;
profile->bins[i_bin].n_particles =n_in_bin;
// ... mass profile ...
profile->bins[i_bin].M_r=particle_mass*(double)n_cumulative;
// ... binning radii ...
if(n_in_bin%2==1)
profile->bins[i_bin].r_med=(float)R[R_index[i_particle+n_in_bin/2]];
else
profile->bins[i_bin].r_med=0.5*(float)(R[R_index[i_particle+n_in_bin/2-1]]+R[R_index[i_particle+n_in_bin/2]]);
profile->bins[i_bin].r_max=(float)R[R_index[i_particle+n_in_bin-1]];
// ... COM positions and velocities ...
for(j_particle=0;j_particle<n_in_bin;j_particle++){
k_particle=R_index[i_particle+j_particle];
x_COM_accumulator += x[k_particle];
y_COM_accumulator += y[k_particle];
z_COM_accumulator += z[k_particle];
vx_COM_accumulator+=vx[k_particle];
vy_COM_accumulator+=vy[k_particle];
vz_COM_accumulator+=vz[k_particle];
}
profile->bins[i_bin].position_COM[0]=(float)(x_COM_accumulator/(double)n_cumulative);
profile->bins[i_bin].position_COM[1]=(float)(y_COM_accumulator/(double)n_cumulative);
profile->bins[i_bin].position_COM[2]=(float)(z_COM_accumulator/(double)n_cumulative);
profile->bins[i_bin].velocity_COM[0]=(float)(vx_COM_accumulator/(double)n_cumulative);
profile->bins[i_bin].velocity_COM[1]=(float)(vy_COM_accumulator/(double)n_cumulative);
profile->bins[i_bin].velocity_COM[2]=(float)(vz_COM_accumulator/(double)n_cumulative);
// ... density ...
V2=FOUR_THIRDS_PI*profile->bins[i_bin].r_max*profile->bins[i_bin].r_max*profile->bins[i_bin].r_max; // Volume
dV=V2-V1;
dM=particle_mass*(double)n_in_bin;
profile->bins[i_bin].rho =(float)(dM/dV);
profile->bins[i_bin].overdensity=(float)(profile->bins[i_bin].M_r/(V2*Omega*rho_crit_z(redshift,cosmo)));
/// ... triaxiality ...
if(flag_compute_shapes){
compute_triaxiality(x,
y,
z,
(double)profile->bins[i_bin].position_COM[0],
(double)profile->bins[i_bin].position_COM[1],
(double)profile->bins[i_bin].position_COM[2],
box_size,
n_cumulative,
R_index,
shape_eigen_values,
shape_eigen_vectors);
profile->bins[i_bin].q_triaxial=(float)(shape_eigen_values[1]/shape_eigen_values[0]);
profile->bins[i_bin].s_triaxial=(float)(shape_eigen_values[2]/shape_eigen_values[0]);
for(i=0;i<3;i++)
for(j=0;j<3;j++)
profile->bins[i_bin].shape_eigen_vectors[i][j]=(float)shape_eigen_vectors[i][j];
}
}
// Interpolate to get R_vir
flag_interpolated=FALSE;
properties->R_halo=profile->bins[profile->n_bins-1].r_max;
if(profile->n_bins>1){
// Remove any small-radius monotonic increases from the interpolation interval
j_profile=0;
while(profile->bins[j_profile].overdensity<=profile->bins[j_profile+1].overdensity && j_profile<profile->n_bins-2)
j_profile++;
// Only keep decreasing bins
n_bins_temp=0;
r_interp[n_bins_temp]=take_log10((double)profile->bins[j_profile].r_max);
y_interp[n_bins_temp]=take_log10((double)profile->bins[j_profile].overdensity);
n_bins_temp++;
for(i_profile=j_profile+1;i_profile<profile->n_bins;i_profile++){
if(take_log10((double)profile->bins[i_profile].overdensity)<y_interp[n_bins_temp-1]){
r_interp[n_bins_temp]=take_log10((double)profile->bins[i_profile].r_max);
y_interp[n_bins_temp]=take_log10((double)profile->bins[i_profile].overdensity);
n_bins_temp++;
}
}
if(n_bins_temp>1){
// Perform interpolation
if(y_interp[0]>=take_log10(Delta) && y_interp[n_bins_temp-1]<=take_log10(Delta)){
if(n_bins_temp>9)
interp_type=gsl_interp_cspline;
else
interp_type=gsl_interp_linear;
interp_type=gsl_interp_linear;
init_interpolate(y_interp,r_interp,n_bins_temp,interp_type,&vir_interpolate);
properties->R_vir =(float)take_alog10(interpolate(vir_interpolate,take_log10(Delta)));
free_interpolate(SID_FARG vir_interpolate,NULL);
flag_interpolated=TRUE;
}
else if(y_interp[0]<take_log10(Delta)){
properties->R_vir=(float)take_alog10(r_interp[0]);
flag_interpolated=FLAG_INTERP_MIN_BIN;
}
else{
properties->R_vir=(float)take_alog10(r_interp[n_bins_temp-1]);
flag_interpolated=FLAG_INTERP_MAX_BIN;
}
}
else{
properties->R_vir=(float)take_alog10(r_interp[0]);
flag_interpolated=FLAG_INTERP_MIN_BIN;
}
}
else{
properties->R_vir=profile->bins[0].r_max;
flag_interpolated=FLAG_INTERP_MIN_BIN;
}
// Set the interpolation method
if(n_bins_temp>9)
interp_type=gsl_interp_cspline;
else
interp_type=gsl_interp_linear;
interp_type=gsl_interp_linear;
// Compute v_COM(R_vir)
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
r_interp[i_profile]=(double)profile->bins[i_profile].r_max;
if(flag_interpolated==TRUE){
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].velocity_COM[0];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->velocity_COM[0]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].velocity_COM[1];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->velocity_COM[1]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].velocity_COM[2];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->velocity_COM[2]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
}
else{
if(flag_interpolated==FLAG_INTERP_MIN_BIN) i_profile=0;
else if(flag_interpolated==FLAG_INTERP_MAX_BIN) i_profile=profile->n_bins-1;
else SID_trap_error("Unrecognized value for flag_interpolated {%d}.",flag_interpolated);
properties->velocity_COM[0]=(float)profile->bins[i_profile].velocity_COM[0];
properties->velocity_COM[1]=(float)profile->bins[i_profile].velocity_COM[1];
properties->velocity_COM[2]=(float)profile->bins[i_profile].velocity_COM[2];
}
// Compute halo-centric particle velocities
// Subtract COM mean and add Hubble flow
for(j_particle=0;j_particle<n_particles;j_particle++){
vx[j_particle]+=x[j_particle]*H_convert(H_z(redshift,cosmo))-(double)properties->velocity_COM[0];
vy[j_particle]+=y[j_particle]*H_convert(H_z(redshift,cosmo))-(double)properties->velocity_COM[1];
vz[j_particle]+=z[j_particle]*H_convert(H_z(redshift,cosmo))-(double)properties->velocity_COM[2];
}
// Compute remaining profiles ...
spin_x_accumulator=0.;
spin_y_accumulator=0.;
spin_z_accumulator=0.;
V2 =0.;
n_cumulative =0;
for(i_bin=0,i_particle=0;i_bin<profile->n_bins;i_bin++,i_particle+=n_in_bin){
V1=V2; // Volumes
// ... particle numbers ...
if(i_bin<profile->n_bins-1)
n_in_bin=(int)((double)(i_bin+1)*n_per_bin)-i_particle;
else
n_in_bin=n_particles-i_particle;
n_cumulative+=n_in_bin;
// ... spins and mean velocities ...
v_x_mean =0.;
v_y_mean =0.;
v_z_mean =0.;
v_rad_mean=0.;
for(j_particle=0;j_particle<n_in_bin;j_particle++){
k_particle=R_index[i_particle+j_particle];
// ... spins ...
spin_x_accumulator+=(double)(y[k_particle]*vz[k_particle]-z[k_particle]*vy[k_particle]);
spin_y_accumulator+=(double)(z[k_particle]*vx[k_particle]-x[k_particle]*vz[k_particle]);
spin_z_accumulator+=(double)(x[k_particle]*vy[k_particle]-y[k_particle]*vx[k_particle]);
// ... mean velocities (needed below for velocity dispersions) ...
if(R[k_particle]>0.){
v_rad =(x[k_particle]*vx[k_particle]+y[k_particle]*vy[k_particle]+z[k_particle]*vz[k_particle])/R[k_particle];
v_x_mean +=vx[k_particle];
v_y_mean +=vy[k_particle];
v_z_mean +=vz[k_particle];
v_rad_mean+=v_rad;
}
}
profile->bins[i_bin].spin[0]=(float)(spin_x_accumulator)/n_cumulative;
profile->bins[i_bin].spin[1]=(float)(spin_y_accumulator)/n_cumulative;
profile->bins[i_bin].spin[2]=(float)(spin_z_accumulator)/n_cumulative;
v_x_mean /=(double)n_in_bin;
v_y_mean /=(double)n_in_bin;
v_z_mean /=(double)n_in_bin;
v_rad_mean/=(double)n_in_bin;
// ... velocity dispersions ...
for(j_particle=0;j_particle<n_in_bin;j_particle++){
k_particle=R_index[i_particle+j_particle];
if(R[k_particle]>0.){
v_tot=sqrt(pow(vx[k_particle]-v_x_mean,2.)+pow(vy[k_particle]-v_y_mean,2.)+pow(vz[k_particle]-v_z_mean,2.));
v_rad=(x[k_particle]*(vx[k_particle]-v_x_mean)+y[k_particle]*(vy[k_particle]-v_y_mean)+z[k_particle]*(vz[k_particle]-v_z_mean))/R[k_particle];
v_tan=sqrt(v_tot*v_tot-v_rad*v_rad);
profile->bins[i_bin].sigma_tot+=(float)((v_tot)*(v_tot));
profile->bins[i_bin].sigma_rad+=(float)((v_rad-v_rad_mean)*(v_rad-v_rad_mean));
profile->bins[i_bin].sigma_tan+=(float)((v_tan)*(v_tan));
}
}
profile->bins[i_bin].sigma_tot=(float)sqrt((double)profile->bins[i_bin].sigma_tot/(double)n_in_bin);
profile->bins[i_bin].sigma_rad=(float)sqrt((double)profile->bins[i_bin].sigma_rad/(double)n_in_bin);
profile->bins[i_bin].sigma_tan=(float)sqrt((double)profile->bins[i_bin].sigma_tan/(double)n_in_bin);
// ... circular velocity; v_c(R) ...
r_c[i_bin+1]=profile->bins[i_bin].r_max;
v_c[i_bin+1]=sqrt(G_NEWTON*profile->bins[i_bin].M_r/(double)profile->bins[i_bin].r_max);
}
// Determine R_max and V_max from v_c(R)...
R_max=(double)r_c[1]; // default for a monotonically increasing V_c(r)
V_max=(double)v_c[1]; // default for a monotonically increasing V_c(r)
if(profile->n_bins>1){
// Remove any large-radius monotonic increases from the interpolation interval
k_profile=profile->n_bins;
while(v_c[k_profile-1]<=v_c[k_profile] && k_profile>1)
k_profile--;
if(v_c[0]<=v_c[1] && k_profile==1)
k_profile--;
// If the profile is not monotonically increasing ...
if(k_profile>0){
n_bins_temp=k_profile+1;
// ...find the maximum (call its index j_profile)
for(i_profile=0,j_profile=0;i_profile<n_bins_temp;i_profile++){
if(v_c[i_profile]>v_c[j_profile])
j_profile=i_profile;
}
// ...find bottom of range in which to search for maximum (call its index i_profile)
i_profile=j_profile-1;
while(v_c[i_profile]>=v_c[j_profile] && i_profile>0)
i_profile--;
// ...find top of range in which to search for maximum (call its index k_profile)
k_profile=j_profile+1;
while(v_c[k_profile]>=v_c[j_profile] && k_profile<n_bins_temp-1)
k_profile++;
// ... perform interpolation
V_max=(double)v_c[j_profile];
R_max=(double)r_c[j_profile];
if(i_profile<j_profile && j_profile<k_profile){
if(n_bins_temp>9)
interp_type=gsl_interp_cspline;
else
interp_type=gsl_interp_linear;
interp_type=gsl_interp_linear;
init_interpolate(r_c,v_c,n_bins_temp,gsl_interp_cspline,&V_R_interpolate);
interpolate_maximum(V_R_interpolate,
r_c[i_profile],
r_c[j_profile],
r_c[k_profile],
0.05,
&R_max,
&V_max);
free_interpolate(SID_FARG V_R_interpolate,NULL);
}
}
}
properties->R_max=(float)R_max;
properties->V_max=(float)V_max;
if(profile->n_bins>9)
interp_type=gsl_interp_cspline;
else
interp_type=gsl_interp_linear;
interp_type=gsl_interp_linear;
// Perform normal interpolation from profiles to get the rest of the global quantities
if(flag_interpolated==TRUE){
// ... COM positions ...
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].position_COM[0]/expansion_factor;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->position_COM[0]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].position_COM[1]/expansion_factor;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->position_COM[1]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].position_COM[2]/expansion_factor;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->position_COM[2]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
// ... M_vir ...
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].M_r;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->M_vir=interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
// ... sigma_v ...
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].sigma_tot;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->sigma_v=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
// ... spin ...
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].spin[0];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->spin[0]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].spin[1];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->spin[1]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].spin[2];
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->spin[2]=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
// ... triaxial axes ratios ...
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].q_triaxial;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->q_triaxial=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)profile->bins[i_profile].s_triaxial;
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->s_triaxial=(float)interpolate(vir_interpolate,properties->R_vir);
free_interpolate(SID_FARG vir_interpolate,NULL);
// ... shape eigen vectors ...
for(i=0;i<3;i++){
for(j=0;j<3;j++){
for(i_profile=0;i_profile<profile->n_bins;i_profile++)
y_interp[i_profile]=(double)cos(profile->bins[i_profile].shape_eigen_vectors[i][j]);
init_interpolate(r_interp,y_interp,profile->n_bins,interp_type,&vir_interpolate);
properties->shape_eigen_vectors[i][j]=(float)acos(MAX(0,MIN(1.,interpolate(vir_interpolate,properties->R_vir))));
free_interpolate(SID_FARG vir_interpolate,NULL);
}
norm=sqrt(properties->shape_eigen_vectors[i][0]*properties->shape_eigen_vectors[i][0]+
properties->shape_eigen_vectors[i][1]*properties->shape_eigen_vectors[i][1]+
properties->shape_eigen_vectors[i][2]*properties->shape_eigen_vectors[i][2]);
for(j=0;j<3;j++)
properties->shape_eigen_vectors[i][j]/=norm;
}
}
// ... else apply defaults to faulty cases.
else{
if(flag_interpolated==FLAG_INTERP_MIN_BIN) i_profile=0;
else if(flag_interpolated==FLAG_INTERP_MAX_BIN) i_profile=profile->n_bins-1;
else SID_trap_error("Unrecognized value for flag_interpolated {%d}.",flag_interpolated);
// ... COM positions ...
properties->position_COM[0]=(double)(profile->bins[i_profile].position_COM[0])/expansion_factor;
properties->position_COM[1]=(double)(profile->bins[i_profile].position_COM[1])/expansion_factor;
properties->position_COM[2]=(double)(profile->bins[i_profile].position_COM[2])/expansion_factor;
// ... M_vir ...
properties->M_vir=(double)profile->bins[i_profile].M_r;
// ... sigma_v ...
properties->sigma_v=(float)profile->bins[i_profile].sigma_tot;
// ... spin ...
properties->spin[0]=(float)profile->bins[i_profile].spin[0];
properties->spin[1]=(float)profile->bins[i_profile].spin[1];
properties->spin[2]=(float)profile->bins[i_profile].spin[2];
// ... triaxial axes ratios ...
properties->q_triaxial=(float)profile->bins[i_profile].q_triaxial;
properties->s_triaxial=(float)profile->bins[i_profile].s_triaxial;
// ... shape eigen vectors ...
for(i=0;i<3;i++){
for(j=0;j<3;j++)
properties->shape_eigen_vectors[i][j]=(float)profile->bins[i_profile].shape_eigen_vectors[i][j];
norm=sqrt(properties->shape_eigen_vectors[i][0]*properties->shape_eigen_vectors[i][0]+
properties->shape_eigen_vectors[i][1]*properties->shape_eigen_vectors[i][1]+
properties->shape_eigen_vectors[i][2]*properties->shape_eigen_vectors[i][2]);
for(j=0;j<3;j++)
properties->shape_eigen_vectors[i][j]/=norm;
}
}
// Enforce periodic box on COM position
properties->position_COM[0]+=x_cen;
properties->position_COM[1]+=y_cen;
properties->position_COM[2]+=z_cen;
if(properties->position_COM[0]< box_size) properties->position_COM[0]+=box_size;
if(properties->position_COM[1]< box_size) properties->position_COM[1]+=box_size;
if(properties->position_COM[2]< box_size) properties->position_COM[2]+=box_size;
if(properties->position_COM[0]>=box_size) properties->position_COM[0]-=box_size;
if(properties->position_COM[1]>=box_size) properties->position_COM[1]-=box_size;
if(properties->position_COM[2]>=box_size) properties->position_COM[2]-=box_size;
// Perform unit conversions
// ... properties first ...
properties->position_COM[0]*=h_Hubble/M_PER_MPC;
properties->position_COM[1]*=h_Hubble/M_PER_MPC;
properties->position_COM[2]*=h_Hubble/M_PER_MPC;
properties->position_MBP[0]*=h_Hubble/M_PER_MPC;
properties->position_MBP[1]*=h_Hubble/M_PER_MPC;
properties->position_MBP[2]*=h_Hubble/M_PER_MPC;
properties->velocity_COM[0]*=1e-3;
properties->velocity_COM[1]*=1e-3;
properties->velocity_COM[2]*=1e-3;
properties->velocity_MBP[0]*=1e-3;
properties->velocity_MBP[1]*=1e-3;
properties->velocity_MBP[2]*=1e-3;
properties->M_vir *=h_Hubble/M_SOL;
properties->R_vir *=h_Hubble/M_PER_MPC;
properties->R_halo *=h_Hubble/M_PER_MPC;
properties->R_max *=h_Hubble/M_PER_MPC;
properties->V_max *=1e-3;
properties->sigma_v *=1e-3;
properties->spin[0] *=1e-3*h_Hubble/M_PER_MPC;
properties->spin[1] *=1e-3*h_Hubble/M_PER_MPC;
properties->spin[2] *=1e-3*h_Hubble/M_PER_MPC;
// ... then profiles ...
for(i_bin=0;i_bin<profile->n_bins;i_bin++){
profile->bins[i_bin].r_med *=h_Hubble/M_PER_MPC;
profile->bins[i_bin].r_max *=h_Hubble/M_PER_MPC;
profile->bins[i_bin].M_r *=h_Hubble/M_SOL;
profile->bins[i_bin].rho *=M_PER_MPC*M_PER_MPC*M_PER_MPC/(h_Hubble*h_Hubble*M_SOL);
profile->bins[i_bin].position_COM[0]*=h_Hubble/M_PER_MPC;
profile->bins[i_bin].position_COM[1]*=h_Hubble/M_PER_MPC;
profile->bins[i_bin].position_COM[2]*=h_Hubble/M_PER_MPC;
profile->bins[i_bin].velocity_COM[0]*=1e-3;
profile->bins[i_bin].velocity_COM[1]*=1e-3;
profile->bins[i_bin].velocity_COM[2]*=1e-3;
profile->bins[i_bin].sigma_rad *=1e-3;
profile->bins[i_bin].sigma_tan *=1e-3;
profile->bins[i_bin].sigma_tot *=1e-3;
profile->bins[i_bin].spin[0] *=1e-3*h_Hubble/M_PER_MPC;
profile->bins[i_bin].spin[1] *=1e-3*h_Hubble/M_PER_MPC;
profile->bins[i_bin].spin[2] *=1e-3*h_Hubble/M_PER_MPC;
}
}
return(flag_interpolated);
}