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Tue, Jul 30, 12:30

chi_CPU.cpp
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#include <iostream>
#include <string.h>
//#include <cuda_runtime.h>
#include <math.h>
#include <sys/time.h>
#include <fstream>
#include <unistd.h>
#include <assert.h>
#ifndef __xlC__
#warning "gnu compilers"
#include <immintrin.h>
#endif
//#include "simd_math.h"
#include "chi_CPU.hpp"
//#ifdef __WITH_GPU
#include "grid_gradient_GPU.cuh"
////#endif
//#include "gradient_GPU.cuh"
#ifdef _OPENMP
#include <omp.h>
#endif
#ifdef __WITH_MPI
#include<mpi.h>
#include"mpi_check.h"
#endif
#define MIN(a,b) (((a)<(b))?(a):(b))
#define MAX(a,b) (((a)>(b))?(a):(b))
double myseconds()
{
struct timeval tp;
struct timezone tzp;
int i;
i = gettimeofday(&tp,&tzp);
return ( (double) tp.tv_sec + (double) tp.tv_usec * 1.e-6 );
}
void mychi_bruteforce_SOA_CPU_grid_gradient(double *chi, int *error, runmode_param *runmode, const struct Potential_SOA *lens, const struct grid_param *frame, const int *nimages_strongLensing, galaxy *images)
{
//
//double dx, dy; //, x_pos, y_pos; //pixelsize
//
// double im_dist[MAXIMPERSOURCE]; // distance to a real image for an "theoretical" image found from a theoretical source
// int im_index; // index of the closest real image for an image found from a theoretical source
// int second_closest_id; // index of the second closest real image for an image found from a theoretical source
// int thread_found_image = 0; // at each iteration in the lens plane, turn to 1 whether the thread find an image
// struct point im_position, temp; // position of the image found from a theoretical source + temp variable for comparison
// struct triplet Tsup, Tinf, Tsupsource, Tinfsource;// triangles for the computation of the images created by the theoretical sources
struct galaxy sources[runmode->nsets][runmode->nimagestot]; // theoretical sources (common for a set)
int nimagesfound [runmode->nsets][runmode->nimagestot][MAXIMPERSOURCE]; // number of images found from the theoretical sources
int locimagesfound[runmode->nsets][runmode->nimagestot];
struct point image_pos [runmode->nsets][runmode->nimagestot][MAXIMPERSOURCE];
//double image_dist [runmode->nsets][runmode->nimagestot][MAXIMPERSOURCE];
struct point tim [runmode->nimagestot][MAXIMPERSOURCE]; // theoretical images (computed from sources)
//
int world_size = 1;
int world_rank = 0;
#ifdef __WITH_MPI
MPI_Comm_size(MPI_COMM_WORLD, &world_size);
MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);
MPI_Barrier(MPI_COMM_WORLD);
#endif
unsigned int verbose = (world_rank == 0);
//
int grid_size = runmode->nbgridcells;
int loc_grid_size = runmode->nbgridcells/world_size;
//
double y_len = fabs(frame->ymax - frame->ymin);
int y_len_loc = runmode->nbgridcells/world_size;
int y_pos_loc = (int) world_rank*y_len_loc;
int y_bound = y_len_loc;
if ((world_rank + 1) != world_size) y_bound++;
//
//
const double dx = (frame->xmax - frame->xmin)/(runmode->nbgridcells - 1);
const double dy = (frame->ymax - frame->ymin)/(runmode->nbgridcells - 1);
//
double *grid_gradient_x, *grid_gradient_y;
//
//grid_gradient_x = (double *)malloc((int) grid_size*loc_grid_size*sizeof(double));
//grid_gradient_y = (double *)malloc((int) grid_size*loc_grid_size*sizeof(double));
grid_gradient_x = (double *)malloc((int) grid_size*y_bound*sizeof(double));
grid_gradient_y = (double *)malloc((int) grid_size*y_bound*sizeof(double));
//
//uais
//if (verbose) printf("@@%d: nsets = %d nimagestot = %d maximgpersource = %d, grid_size = %d, loc_grid_size = %d, y_pos_loc = %d\n", world_rank, runmode->nsets, runmode->nimagestot, MAXIMPERSOURCE, grid_size, loc_grid_size, y_pos_loc);
//
const int grid_dim = runmode->nbgridcells;
//Packaging the image to sourceplane conversion
double time = -myseconds();
//gradient_grid_CPU(grid_gradient_x, grid_gradient_y, frame, lens, runmode->nhalos, grid_dim);
#ifdef __WITH_GPU
gradient_grid_GPU(grid_gradient_x, grid_gradient_y, frame, lens, runmode->nhalos, dx, dy, grid_size, y_bound, 0, y_pos_loc);
//gradient_grid_GPU(grid_gradient_x, grid_gradient_y, frame, lens, runmode->nhalos, grid_size);
#else
int zero = 0;
gradient_grid_CPU(grid_gradient_x, grid_gradient_y, frame, lens, runmode->nhalos, dx, dy, grid_size, y_bound, zero, y_pos_loc);
#endif
#if 0
if (world_rank == 0)
for (int jj = 0; jj < loc_grid_size; ++jj)
for (int ii = 0; ii < runmode->nbgridcells; ++ii)
printf("%d %d: %f %f\n", ii, jj, grid_gradient_x[jj*grid_size + ii], grid_gradient_y[jj*grid_size + ii]);
#endif
//gradient_grid_CPU(grid_gradient_x, grid_gradient_y, frame, lens, runmode->nhalos, grid_size, loc_grid_size);
#ifdef __WITH_MPI
MPI_Barrier(MPI_COMM_WORLD);
#endif
time += myseconds();
if (verbose) printf(" Gridgrad time = %f s.\n", time);
//
int index = 0; // index tracks the image within the total image array in the image plane
*chi = 0;
//
double chi2_time = 0.;
double loop_time = 0.;
double image_time = 0.;
//
int images_found = 0;
long int images_total = 0;
//
//printf("@@nsets = %d nx = %d ny = %d, xmin = %f, dx = %f, ymin = %f, dy = %f\n", runmode->nsets, runmode->nbgridcells, runmode->nbgridcells, frame->xmin, dx, frame->ymin, dy );
//
int numsets = 0;
//
for( int source_id = 0; source_id < runmode->nsets; source_id ++)
numsets += nimages_strongLensing[source_id];
//printf("@@Total numsets = %d\n", numsets);
//
time = -myseconds();
//
// nsets : number of images in the source plane
// nimagestot: number of images in the image plane
//
image_time -= myseconds();
//
unsigned int nsets = runmode->nsets;
for( int source_id = 0; source_id < runmode->nsets; source_id ++)
{
// number of images in the image plane for the specific image (1,3,5...)
unsigned short int nimages = nimages_strongLensing[source_id];
//@@printf("@@ source_id = %d, nimages = %d\n", source_id, nimages_strongLensing[source_id]);
//____________________________ image (constrains) loop ________________________________
for(unsigned short int image_id = 0; image_id < nimages; image_id++)
{
//printf("@@ nimages = %d\n", nimages_strongLensing[source_id]);
//________ computation of theoretical sources _________
// output: sources[source_id].center
//printf("Image = %f %f\n", images[index + image_id].center.x, images[index + image_id].center.y);
mychi_transformImageToSourcePlane_SOA(runmode->nhalos,
&images[index + image_id].center,
images[index + image_id].dr,
lens,
&sources[source_id][image_id].center);
//
// void mychi_transformImageToSourcePlane_SOA(const int Nlens, const struct point *image_point, double dlsds, const struct Potential_SOA *lens, struct point *source_point)
//
struct point Grad = module_potentialDerivatives_totalGradient_SOA(&images[index + image_id].center, lens, runmode->nhalos);
//printf(" image %d, %d (%d) = (%.15f, %.15f) -> (%.15f, %.15f)\n", source_id, image_id, nimages, images[index + image_id].center.x, images[index + image_id].center.y, sources[source_id].center.x, sources[source_id].center.y );
//printf("Grad.x = %f, %f\n", Grad.x, grid_gradient_x[images[index + image_id].center.x/dx]);
//
// find the position of the constrain in the source plane
sources[source_id][image_id].center.x = images[index + image_id].center.x - images[index + image_id].dr*Grad.x;
sources[source_id][image_id].center.y = images[index + image_id].center.y - images[index + image_id].dr*Grad.y;
//
//time += myseconds();
//
sources[source_id][image_id].redshift = images[index + image_id].redshift;
//
sources[source_id][image_id].dr = images[index + image_id].dr;
sources[source_id][image_id].dls = images[index + image_id].dls;
sources[source_id][image_id].dos = images[index + image_id].dos;
#if 1
}
index += nimages;
}
#ifdef __WITH_MPI
MPI_Barrier(MPI_COMM_WORLD);
#endif
image_time += myseconds();
//
// main loop
//
//double y_len = fabs(frame->ymax - frame->ymin);
//int y_len_loc = runmode->nbgridcells/world_size;
//int y_pos_loc = (int) world_rank*y_len_loc;
//printf("%d out of %d: y_id = %d to %d\n", world_rank, world_size, y_pos_loc, y_pos_loc + y_len_loc - 1);
//fflush(stdout);
//MPI_Barrier(MPI_COMM_WORLD);
//
loop_time -= myseconds();
index = 0;
int numimg = 0;
//
for( int source_id = 0; source_id < runmode->nsets; source_id ++)
{
// number of images in the image plane for the specific image (1,3,5...)
unsigned short int nimages = nimages_strongLensing[source_id];
//printf("@@ source_id = %d, nimages = %d\n", source_id, nimages_strongLensing[source_id]);
//____________________________ image (constrains) loop ________________________________
for(unsigned short int image_id = 0; image_id < nimages; image_id++)
{
#endif
//
//struct point image_pos [MAXIMPERSOURCE];
//
//MPI_Barrier(MPI_COMM_WORLD);
//if (verbose) printf("source = %d, image = %d\n", source_id, image_id);
//if (verbose) fflush(stdout);
int loc_images_found = 0;
//#ifdef __WITH_MPI
// MPI_Barrier(MPI_COMM_WORLD);
//#endif
#pragma omp parallel
#pragma omp for reduction(+: images_total)
//for (int y_id = 0; y_id < (runmode->nbgridcells - 1); ++y_id )
//for (int y_id = 0; y_id < (y_len_loc - 1); ++y_id)
for (int y_id = 0; y_id < (y_bound - 1); ++y_id)
//for (int y_id = world_rank*y_pos_loc; y_id < (world_rank*y_pos_loc + y_len_loc - 1); ++y_id)
{
//for (int y_id = 0; (y_id < runmode->nbgridcells - 1) /*&& (loc_images_found != nimages)*/; ++y_id )
for (int x_id = 0; x_id < runmode->nbgridcells - 1 ; ++x_id)
{
//int yy_pos = MIN(y_pos_loc + y_id, runmode->nbgridcells - 1);
images_total++;
//
double x_pos = frame->xmin + ( x_id)*dx;
double y_pos = frame->ymin + (y_pos_loc + y_id)*dy;
//printf("%d: x_id = %d xpos = %f, y_id = %d ypos = %f\n", world_rank, x_id, x_pos, y_pos_loc + y_id, y_pos);
//
// Define the upper + lower triangle, both together = square = pixel
//
struct triplet Tsup, Tinf;
//
Tsup.a.x = x_pos;
Tsup.b.x = x_pos;
Tsup.c.x = x_pos + dx;
Tinf.a.x = x_pos + dx;
Tinf.b.x = x_pos + dx;
Tinf.c.x = x_pos;
//
Tsup.a.y = y_pos;
Tsup.b.y = y_pos + dy;
Tsup.c.y = y_pos;
Tinf.a.y = y_pos + dy;
Tinf.b.y = y_pos;
Tinf.c.y = y_pos + dy;
//
// Lens to Sourceplane conversion of triangles
//
// double time = -myseconds();
//
struct triplet Timage;
struct triplet Tsource;
//
//printf(" - Tsup = %f %f\n", Tsup.a.x, Tsup.a.y);
mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_upper(&Tsup, sources[source_id][image_id].dr, &Tsource, grid_gradient_x, grid_gradient_y, y_id*grid_dim + x_id, grid_dim);
//mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_upper(&Tsup, sources[source_id][image_id].dr, &Tsource, grid_gradient_x, grid_gradient_y, (y_pos_loc + y_id)*grid_dim + x_id, grid_dim);
//@@if (world_rank == 1)
//
int thread_found_image = 0;
//
if (mychi_insideborder(&sources[source_id][image_id].center, &Tsource) == 1)
{
//printf(" -> %d found: y_id = %d, x_id = %d : pixel %f %f -> %f %f\n", world_rank, y_pos_loc + y_id, x_id, Tsup.a.x, Tsup.a.y, Tsource.a.x, Tsource.a.y);
thread_found_image = 1;
Timage = Tsup;
}
else
{
//printf(" - Tinf = %f %f\n", Tinf.a.x, Tinf.a.y);
mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_lower(&Tinf, sources[source_id][image_id].dr, &Tsource, grid_gradient_x, grid_gradient_y, y_id*grid_dim + x_id, grid_dim);
//mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_lower(&Tinf, sources[source_id][image_id].dr, &Tsource, grid_gradient_x, grid_gradient_y, (y_id + y_pos_loc)*grid_dim + x_id, grid_dim);
//@@if (world_rank == 1)
if (mychi_inside(&sources[source_id][image_id].center, &Tsource) == 1)
{
//printf(" -> %d found: y_id = %d, x_id = %d : pixel %f %f -> %f %f\n", world_rank, y_pos_loc + y_id, x_id, Tinf.a.x, Tinf.a.y, Tsource.a.x, Tsource.a.y);
thread_found_image = 1;
Timage = Tinf;
}
}
#if 1
if (thread_found_image)
{
#pragma omp critical
{
image_pos[source_id][image_id][loc_images_found] = mychi_barycenter(&Timage); // get the barycenter of the triangle
locimagesfound[source_id][image_id]++;
loc_images_found++;
numimg ++;
}
}
#endif
}
}
#if 1
}
index += nimages_strongLensing[source_id];
}
#ifdef __WITH_MPI
MPI_Barrier(MPI_COMM_WORLD);
#endif
loop_time += myseconds();
//
double comm_time = -myseconds();
//
int numimagesfound [runmode->nsets][runmode->nimagestot];
memset(&numimagesfound, 0, runmode->nsets*runmode->nimagestot*sizeof(int));
struct point imagesposition [runmode->nsets][runmode->nimagestot][MAXIMPERSOURCE];
memset(&imagesposition, 0, runmode->nsets*runmode->nimagestot*MAXIMPERSOURCE*sizeof(point));
//
int numimagesfound_tmp[runmode->nsets][runmode->nimagestot];
struct point imagesposition_tmp[runmode->nsets][runmode->nimagestot][MAXIMPERSOURCE];
//
memset(numimagesfound_tmp, 0, runmode->nsets*runmode->nimagestot*sizeof(int));
memset(imagesposition_tmp, 0, runmode->nsets*runmode->nimagestot*sizeof(int));
/*
//if (verbose)
{
int image_sum = 0;
for (int ii = 0; ii < runmode->nsets; ++ii)
for (int jj = 0; jj < runmode->nimagestot; ++jj)
{
image_sum += locimagesfound[ii][jj];
}
printf("%d: num images found = %d\n", world_rank, image_sum);
}
MPI_Barrier(MPI_COMM_WORLD);
*/
#ifdef __WITH_MPI
int total = 0;
//MPI_Reduce(&locimagesfound, &imagesfound, runmode->nsets*runmode->nimagestot, MPI_INT, MPI_SUM, 0, MPI_COMM_WORLD);
//MPI_Reduce(&locimagesfound, &imagesfound, runmode->nsets*runmode->nimagestot, MPI_INT, MPI_SUM, 0, MPI_COMM_WORLD);
//
if (!verbose)
{
MPI_CHECK(MPI_Send( &numimg , 1 , MPI_INT , 0, 666 + world_rank, MPI_COMM_WORLD ));
if (numimg != 0)
{
MPI_CHECK(MPI_Send( &locimagesfound, runmode->nsets*runmode->nimagestot , MPI_INT , 0, 666 + world_rank, MPI_COMM_WORLD ));
//MPI_CHECK(MPI_Send( &image_pos, runmode->nsets*runmode->nimagestot*MAXIMPERSOURCE, MPI_points, 0, 667 + world_rank, MPI_COMM_WORLD ));
MPI_CHECK(MPI_Send( &image_pos, runmode->nsets*runmode->nimagestot*MAXIMPERSOURCE*2, MPI_DOUBLE, 0, 667 + world_rank, MPI_COMM_WORLD ));
}
}
//
if (verbose)
{
int image_sum = 0;
//
for (int ipe = 0; ipe < world_size; ++ipe)
{
MPI_Status status;
//
if (ipe == 0)
{
memcpy(&numimagesfound_tmp, &locimagesfound, runmode->nsets*runmode->nimagestot*sizeof(int));
memcpy(&imagesposition_tmp, &image_pos, runmode->nsets*runmode->nimagestot*MAXIMPERSOURCE*sizeof(point));
}
else
{
MPI_CHECK(MPI_Recv(&numimg , 1 , MPI_INT , ipe, 666 + ipe, MPI_COMM_WORLD, &status));
if (numimg != 0)
{
MPI_CHECK(MPI_Recv(&numimagesfound_tmp, runmode->nsets*runmode->nimagestot , MPI_INT , ipe, 666 + ipe, MPI_COMM_WORLD, &status));
MPI_CHECK(MPI_Recv(&imagesposition_tmp, runmode->nsets*runmode->nimagestot*MAXIMPERSOURCE*2, MPI_DOUBLE, ipe, 667 + ipe, MPI_COMM_WORLD, &status));
}
}
//
//MPI_Reduce(&imagesfound_tmp, &total, ipe, MPI_INT, MPI_SUM, 0, MPI_COMM_WORLD);
//
if (numimg != 0)
for (int jj = 0; jj < runmode->nimagestot; ++jj)
{
for (int ii = 0; ii < runmode->nsets; ++ii)
{
//int img_len = numimagesfound[ii][jj];
int img_len = numimagesfound_tmp[ii][jj];
//printf("%d: %d %d, img_len = %d\n", ipe, ii, jj, img_len);
image_sum += img_len;
if (img_len != 0)
{
//int loc_length = numimagesfound[ii][jj];
int loc_length = numimagesfound[ii][jj];
memcpy(&imagesposition[ii][jj][loc_length], &imagesposition_tmp[ii][jj], img_len*sizeof(point));
numimagesfound[ii][jj] += img_len;
numimg += img_len;
}
}
}
}
}
//MPI_Barrier(MPI_COMM_WORLD);
comm_time += myseconds();
#endif
//
// image extraction to compute
//
chi2_time = -myseconds();
index = 0;
//
if (verbose)
for( int source_id = 0; source_id < runmode->nsets; source_id ++)
{
unsigned short int nimages = nimages_strongLensing[source_id];
//
//______________________Initialisation______________________
//
for (unsigned short int i = 0; i < nimages; ++i)
for (unsigned short int j = 0; j < nimages; ++j)
nimagesfound[source_id][i][j] = 0;
//
for( unsigned short int image_id = 0; image_id < nimages; image_id++)
{
#endif
//
double image_dist[MAXIMPERSOURCE];
//
//printf(" Image %d, number of sources found %d\n", image_id, loc_images_found);
//
struct point image_position;
int image_index;
//
for (int ii = 0; ii < /*loc*/numimagesfound[source_id][image_id]; ++ii)
{
//
//
int image_index = 0;
//
image_position = imagesposition[source_id][image_id][ii];
image_dist[0] = mychi_dist(image_position, images[index + 0].center); // get the distance to the real image
for(int i = 1; i < nimages_strongLensing[source_id]; i++)
{ // get the distance to each real image and keep the index of the closest real image
image_dist[i] = mychi_dist(image_position, images[index + i].center);
//printf(" *** image %d = %f %f, distance = %f\n", index + i, images[index + i].center.x, images[index + i].center.y, image_dist[i]);
if (image_dist[i] < image_dist[image_index])
{
image_index = i;
}
}
//
// we should exit loops here
//
// p1_time += myseconds();
//
int skip_image = 0;
// Sometimes due to the numerical errors at the centerpoint,
// for SIE potentials an additional image will appear at the center of the Potential.
// This is due to the fact that it is not possible to simulate an infinity value
// at the center correctly, Check that sis correspond to Nlens[0]
for (int iterator = 0; iterator < runmode->Nlens[0]; ++iterator)
{
if ( fabs(image_position.x - lens[0].position_x[iterator]) <= dx/2. and fabs(image_position.y - lens[0].position_y[iterator]) <= dx/2.)
{
skip_image = 1;
printf("WARNING: You are using SIE potentials. An image to close to one of the potential centers has been classified as numerical error and removed \n");
}
}
//printf("%d %d %d %d\n", x_id, y_id,thread_found_image, skip_image);
if (!skip_image)
{
//#pragma omp atomic
images_found++;
struct point temp;
//printf(" source %d, image %d, index %d, Images found: %d\n", source_id, image_id, image_index, nimagesfound[source_id][image_id][image_index]);
//checking whether a closest image has already been found
if (nimagesfound[source_id][image_id][image_index] == 0)
{ // if no image found up to now
//image position is allocated to theoretical image
//#pragma omp critical
tim[image_id][image_index] = image_position;
//#pragma omp atomic
nimagesfound[source_id][image_id][image_index]++;
}
else if (nimagesfound[source_id][image_id][image_index] > 0)
{ // if we have already found an image
// If the new image we found is closer than the previous image
//printf(" tim2: %f %f\n", image_dist[image_index], mychi_dist(images[index + image_index].center, tim[image_id][image_index]));
if (image_dist[image_index] < mychi_dist(images[index + image_index].center, tim[image_id][image_index]))
{
temp = tim[image_id][image_index]; // we store the position of the old image in temp
//#pragma omp critical
tim[image_id][image_index] = image_position; // we link the observed image with the image we just found
//printf("tim2 %d %d = %f %f\n", image_id, image_index, image_position.x, image_position.y);
}
else
{
temp = image_position; // we store the position of the image we just found in temp
}
// initialising second_closest_id to the highest value
// Loop over all images in the set except the closest one
// and initialize to the furthest away image
int second_closest_id = 0;
for (int i = 1; i < nimages_strongLensing[source_id] && (i != image_index); i++)
{
if(image_dist[i] > image_dist[second_closest_id]) second_closest_id=i;
}
///////////////////////////////////////////////////////////////
// Loop over all images in the set that are not yet allocated to a theoretical image
// and allocate the closest one
// we search for an observed image not already linked (nimagesfound=0)
for(int i = 0; i < nimages_strongLensing[source_id] && nimagesfound[source_id][image_id][i] == 0; i++)
{
if(image_dist[i] < image_dist[second_closest_id])
{
second_closest_id = i;
// im_index value changes only if we found a not linked yet image
image_index = i;
//printf("tim3 %d %d = %f %f\n", image_id, image_index, temp.x, temp.y);
//#pragma omp critical
tim[image_id][image_index] = temp; // if we found an observed and not already linked image, we allocate the theoretical image temp
}
}
// increasing the total number of images found (If we find more than 1 theoretical image linked to 1 real image,
// these theoretical
//#pragma omp atomic
nimagesfound[source_id][image_id][image_index]++;
// images are included in this number)
}
}
//#pragma omp atomic
//loc_images_found++;
//thread_found_image = 0; // for next iteration
}
//
}
//#pragma omp barrier
//____________________________ end of image loop
//
//____________________________ computing the local chi square
//
double chiimage;
//
int _nimages = nimages_strongLensing[source_id];
//
for( int iter = 0; iter < _nimages*_nimages; iter++)
{
int i=iter/nimages_strongLensing[source_id];
int j=iter%nimages_strongLensing[source_id];
//printf("nimagesfound %d %d = %d\n", i, j, nimagesfound[i][j]);
if(i != j)
{
// In the current method, we get the source in the source plane by ray tracing image in nimagesfound[i][i]. If we ray trace back,
// we arrive again at the same position and thus the chi2 from it is 0. Thus we do not calculate the chi2 (-> if i!=j)
if(nimagesfound[source_id][i][j] > 0)
{
double pow1 = images[index + j].center.x - tim[i][j].x;
double pow2 = images[index + j].center.y - tim[i][j].y;
//
//chiimage = pow(images[index + j].center.x - tim[i][j].x, 2) + pow(images[index + j].center.y - tim[i][j].y, 2); // compute the chi2
chiimage = pow1*pow1 + pow2*pow2; // compute the chi2
//printf("%d %d = %.15f\n", i, j, chiimage);
*chi += chiimage;
}
else
if(nimagesfound[source_id][i][j] == 0)
{
// If we do not find a correpsonding image, we add a big value to the chi2 to disfavor the model
*chi += 100.*nimages_strongLensing[source_id];
}
}
}
//
//____________________________ end of computing the local chi square
//
//printf("%d: chi = %.15f\n", source_id, *chi);
/*
for (int i=0; i < nimages_strongLensing[source_id]; ++i){
for (int j=0; j < nimages_strongLensing[source_id]; ++j){
printf(" %d",nimagesfound[i][j]);
}
printf("\n");
}*/
//Incrementing Index: Images already treated by previous source_id
index += nimages_strongLensing[source_id];
}
MPI_Barrier(MPI_COMM_WORLD);
//
chi2_time += myseconds();
time += myseconds();
//
if (verbose)
{
//
// int nthreads = 1;
//
//#pragma omp parallel
// nthreads = omp_get_num_threads();
//
printf(" overall time = %f s.\n", time);
printf(" - image time = %f s.\n", image_time);
printf(" - loop time = %f s.\n", loop_time);
printf(" - comm time = %f s.\n", comm_time);
printf(" - chi2 time = %f s.\n", chi2_time);
//
printf(" images found: %d out of %ld\n", images_found, images_total);
}
//
free(grid_gradient_x);
free(grid_gradient_y);
}
/** @brief Tranform a point from image to source plane. Result stored in sourcepoint argument
*
* Tranform a point from image to source plane using lensequation
*
* @param image_point image position
* @param dlsds dls/ds
* @param nhalos number of halos
* @param potential_param gravitational potential information
* @param source_point address where source information will be stored
*
*
*/
void mychi_transformImageToSourcePlane(const runmode_param *runmode, const struct point *image_point, double dlsds, const struct Potential *lens, struct point *source_point)
{ // dlsds is the distance between lens and source divided by the distance observer-source
struct point Grad; // gradient
Grad = module_potentialDerivatives_totalGradient(runmode->nhalos, image_point, lens);
//Grad = module_potentialDerivatives_totalGradient_SOA(image_point, lens, runmode->Nlens);
source_point->x = image_point->x - dlsds*Grad.x;
source_point->y = image_point->y - dlsds*Grad.y;
//printf("dlsds %f", dlsds);
}
void mychi_transformImageToSourcePlane_SOA(const int Nlens, const struct point *image_point, double dlsds, const struct Potential_SOA *lens, struct point *source_point)
{ // dlsds is the distance between lens and source divided by the distance observer-source
struct point Grad; // gradient
Grad = module_potentialDerivatives_totalGradient_SOA(image_point, lens, Nlens);
//
source_point->x = image_point->x - dlsds*Grad.x;
source_point->y = image_point->y - dlsds*Grad.y;
//printf("dlsds %f", dlsds);
}
//
//
//
inline
void mychi_transformImageToSourcePlane_SOA_Packed( const struct point *image_point, double dlsds, struct point *source_point, double *grad_x, double * grad_y, int grad_id)
{
source_point->x = image_point->x - dlsds*grad_x[grad_id];
source_point->y = image_point->y - dlsds*grad_y[grad_id];
int world_rank;
//MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);
//if (world_rank == 1)
//printf(" %d: %f %f = %f %f - dlsds = %f grad id = %d grad = (%f %f)\n", world_rank, source_point->x, source_point->y, image_point->x, image_point->y, dlsds, grad_id, grad_x[grad_id], grad_y[grad_id]);
//printf("dlsds %f", dlsds);
}
/** @brief Tranform a triangle from image to source plane. Result stored in S triangle argument
*
* Return a triplet of points in the source plane corresponding to the triplet
* of images. dlsds is the lens efficiency at the source redshift.
* I is the triangle in the image plane (input), S is the same triangle in the source plane (output)
*
* @param I triangle in image plane
* @param dlsds dls/ds
* @param nhalos number of halos
* @param potential_param gravitational potential information
* @param S address where triangle source information will be stored
*
*
*/
inline
void mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_upper( struct triplet *I, double dlsds, struct triplet *S, double *grad_x, double * grad_y, int grad_id, int nbgridcell)
{
mychi_transformImageToSourcePlane_SOA_Packed( &I->a, dlsds, &S->a, grad_x, grad_y, grad_id );
mychi_transformImageToSourcePlane_SOA_Packed( &I->b, dlsds, &S->b, grad_x, grad_y, grad_id + nbgridcell);
mychi_transformImageToSourcePlane_SOA_Packed( &I->c, dlsds, &S->c, grad_x, grad_y, grad_id + 1);
}
inline
void mychi_transformtriangleImageToSourcePlane_SOA_grid_gradient_lower( struct triplet *I, double dlsds, struct triplet *S, double *grad_x, double * grad_y, int grad_id, int nbgridcell)
{
mychi_transformImageToSourcePlane_SOA_Packed( &I->a, dlsds, &S->a, grad_x, grad_y, grad_id + nbgridcell + 1);
mychi_transformImageToSourcePlane_SOA_Packed( &I->b, dlsds, &S->b, grad_x, grad_y, grad_id + 1);
mychi_transformImageToSourcePlane_SOA_Packed( &I->c, dlsds, &S->c, grad_x, grad_y, grad_id + nbgridcell );
}
/** @brief Return the scalar triple product (a*b).c of the 3 vectors A[x,y,1], B[x,y,1], C[x,y,1].
* If 2 of the 3 vectors are equal, colinear or form an orthogonal basis,
* the triple product is 0.
* This is also the determinant of the matrix
* | Ax Bx Cx |
* | Ay By Cy |
* | 1 1 1 |
*/
//inline
double mychi_determinant(const struct point *A,
const struct point *B,
const struct point *C)
{
return( B->x*C->y - B->y*C->x +
A->x*B->y - A->y*B->x +
A->y*C->x - A->x*C->y );
}
/** @brief Return 1 if P is inside the triangle T, 0 otherwise.
* Return 1 if P is inside the triangle T, 0 otherwise.
* @param P a point
* @param T a triplet of points.
*
*
*/
inline
int mychi_inside(const struct point *P, struct triplet *T)
{
double s, s1, s2, d;
d = mychi_determinant(&T->a, &T->b, &T->c);
s = mychi_determinant(&T->a, &T->b, P)*d;
if (s < 0.) return 0;
s1 = mychi_determinant(&T->b, &T->c, P)*d;
if (s1 < 0.) return 0;
s2 = mychi_determinant(&T->c, &T->a, P)*d;
if (s2 < 0.) return 0;
return 1;
return((s > 0.) && (s1 > 0.) && (s2 > 0.)); // If all determinants are positive,
// the point must be inside the triangle
}
/*
int
mychi_inside2(const struct point *A, const struct point *B, const struct point *C)
{
// Compute vectors
v0 = C - A;
v1 = B - A;
v2 = P - A;
// Compute dot products
dot00 = dot(v0, v0);
dot01 = dot(v0, v1);
dot02 = dot(v0, v2);
dot11 = dot(v1, v1);
dot12 = dot(v1, v2);
// Compute barycentric coordinates
invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
u = (dot11 * dot02 - dot01 * dot12) * invDenom;
v = (dot00 * dot12 - dot01 * dot02) * invDenom;
// Check if point is in triangle
return (u >= 0) && (v >= 0) && (u + v < 1);
}
*/
/** @brief Return 1 if P is inside the triangle T or on its border, 0 otherwise.
*
* Return 1 if P is inside the triangle T or on its border, 0 otherwise.
* @param P a point
* @param T a triplet of points.
*
*
*/
inline
int mychi_insideborder(const struct point *P, struct triplet *T)
{
double s, s1, s2, d;
d = mychi_determinant(&T->a, &T->b, &T->c);
s = mychi_determinant(&T->a, &T->b, P)*d;
if (s < 0.) return 0;
s1 = mychi_determinant(&T->b, &T->c, P)*d;
if (s1 < 0.) return 0;
s2 = mychi_determinant(&T->c, &T->a, P)*d;
if (s2 < 0.) return 0;
return 1;
return((s >= 0.) && (s1 >= 0.) && (s2 >= 0.)); // If all determinants are positive or 0,
// the point must be inside the triangle or on its border
}
/** @brief Barycentre of a triplet/triangle
*
* A is a structure triplet that contains 3 structures point a,b and c
* Return value B is a point
*
*
*/
struct point mychi_barycenter(struct triplet *A)
{
struct point B;
B.x = (A->a.x + A->b.x + A->c.x) / 3.;
B.y = (A->a.y + A->b.y + A->c.y) / 3.;
return(B);
}
/** @brief Euclidean distance between 2 points
*
* Euclidean distance between 2 points
*
*/
double mychi_dist(struct point A, struct point B)
{
double x, y;
x = A.x - B.x;
y = A.y - B.y;
return(sqrt(x*x + y*y));
}

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