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R1448/src/gradient_GPU.cu
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gradient_GPU.cu
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#include <fstream>
#include "grid_gradient_GPU.cuh"
#include "gradient_GPU.cuh"
#include "gradient.hpp"
#define BLOCK_SIZE_X 8
#define BLOCK_SIZE_Y 16
//#define ROT
#define _SHARED_MEM
#ifdef _SHARED_MEM
#define SHARED __shared__
#warning "shared memory"
extern __shared__ double shared[];
#else
#define SHARED
#endif
#define Nx 1
#define Ny 0
extern "C" {
double myseconds();
}
void
module_potentialDerivatives_totalGradient_SOA_CPU_GPU(double *grid_grad_x, double *grid_grad_y, const struct grid_param *frame, const struct Potential_SOA *lens_cpu, const struct Potential_SOA *lens_gpu, int nbgridcells, int nhalos);
void
module_potentialDerivatives_totalGradient_SOA_CPU_GPU_v2(double *grid_grad_x, double *grid_grad_y, const struct grid_param *frame, const struct Potential_SOA *lens_cpu, const struct Potential_SOA *lens_gpu, int nbgridcells, int nhalos);
void calculate_cossin_values(double *theta_cos, double *theta_sin, double *angles, int nhalos ){
for(int i = 0 ; i < nhalos; i++)
{
theta_cos[i] = cos(angles[i]);
theta_sin[i] = sin(angles[i]);
}
}
__global__
void
module_potentialDerivatives_totalGradient_8_SOA_GPU_cur(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA *lens, const struct grid_param *frame, int nbgridcells, int shalos, int nhalos)
{
//asm volatile("# module_potentialDerivatives_totalGradient_SOA begins");
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
struct point grad, clumpgrad, image_point;
//
grad.x = 0;
grad.y = 0;
//
int col = blockIdx.x*blockDim.x + threadIdx.x;
int row = blockIdx.y*blockDim.y + threadIdx.y;
//
if ((row < nbgridcells) && (col < nbgridcells))
{
//
int index = row*nbgridcells + col;
//
//grid_grad_x[index] = 0.;
//grid_grad_y[index] = 0.;
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//
image_point.x = frame->xmin + col*dx;
image_point.y = frame->ymin + row*dy;
//
for(int i = shalos; i < shalos + nhalos; i++)
{
struct point true_coord, true_coord_rot; //, result;
//double R, angular_deviation;
complex zis;
//
// positionning at the potential center
// Change the origin of the coordinate system to the center of the clump
//
//@@if ((row == Ny) && (col == Nx)) printf("image_x = %f, %f image_y = %f, %f\n", image_point.x, frame->xmin, image_point.y,frame->ymin);
double true_coord_x = image_point.x - __ldg(&lens->position_x[i]);
double true_coord_y = image_point.y - __ldg(&lens->position_y[i]);
//if ((row == Ny) && (col == Nx)) printf("x = %f y = %f\n", true_coord_x, true_coord_y);
//
double cosi = __ldg(&lens->anglecos[i]);
double sinu = __ldg(&lens->anglesin[i]);
//
double x = true_coord_x*cosi + true_coord_y*sinu;
double y = true_coord_y*cosi - true_coord_x*sinu;
//
//if ((row == Ny) && (col == Nx)) printf("x = %f y = %f\n", x, y);
//
double eps = __ldg(&lens->ellipticity_potential[i]);
//
double sqe = sqrt(eps);
//
double rem2 = x*x/((1. + eps)*(1. + eps)) + y*y/((1. - eps)*(1. - eps));
//
complex zci;
complex znum, zden, zres;
double norm;
//
zci.re = 0;
zci.im = -0.5*(1. - eps*eps)/sqe;
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zci.re, zci.im);
//
double rc = __ldg(&lens->rcore[i]);
double cx1 = (1. - eps)/(1. + eps);
znum.re = cx1*x;
znum.im = 2.*sqe*sqrt(rc*rc + rem2) - y/cx1;
//
zden.re = x;
zden.im = 2.*rc*sqe - y;
norm = (zden.re*zden.re + zden.im*zden.im); // zis = znum/zden
//@@if ((col == Nx) && (row == Ny)) printf("norm = %f\n", norm);
//
zis.re = (znum.re*zden.re + znum.im*zden.im)/norm;
zis.im = (znum.im*zden.re - znum.re*zden.im)/norm;
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zis.re, zis.im);
//
norm = zis.re;
//
zis.re = log(sqrt(norm*norm + zis.im*zis.im)); // ln(zis) = ln(|zis|)+i.Arg(zis)
zis.im = atan2(zis.im, norm);
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zis.re, zis.im);
//
zres.re = zci.re*zis.re - zci.im*zis.im; // Re( zci*ln(zis) )
zres.im = zci.im*zis.re + zis.im*zci.re; // Im( zci*ln(zis) )
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zres: %f %f\n", row, col, zres.re, zres.im);
//
double b0 = __ldg(&lens->b0[i]);
grad.x += b0*(zres.re*cosi - zres.im*sinu);
grad.y += b0*(zres.im*cosi + zres.re*sinu);
//@@if ((col == Nx) && (row == Ny)) printf("grad: %f %f\n", grad.x, grad.y);
}
//IACA_END;
//
grid_grad_x[index] = grad.x;
grid_grad_y[index] = grad.y;
//if ((row == 0) && (col == 9))
//printf("%f %f: %f %f\n", image_point.x, image_point.y, grid_grad_x[index], grid_grad_y[index]);
}
}
__global__
void
module_potentialDerivatives_totalGradient_8_SOA_GPU_SM2(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA *lens, const struct grid_param *frame, int nbgridcells, int shalos, int nhalos)
{
//
//asm volatile("# module_potentialDerivatives_totalGradient_SOA begins");
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
double grad_x, grad_y;
double clumpgrad_x, clumpgrad_y;
double image_point_x, image_point_y;
//
SHARED double cosi [200];
SHARED double sinu [200];
SHARED double rc [200];
SHARED double b0 [200];
SHARED double epsi [200];
SHARED double position_x[200];
SHARED double position_y[200];
SHARED double rsqe [200];
SHARED double sonepeps [200];
SHARED double sonemeps [200];
//
grad_x = 0;
grad_y = 0;
//
int col = blockIdx.x*blockDim.x + threadIdx.x;
int row = blockIdx.y*blockDim.y + threadIdx.y;
int ithread = threadIdx.y*blockDim.x + threadIdx.x;
//
int index = row*nbgridcells + col;
//
//grid_grad_x[index] = 0.;
//grid_grad_y[index] = 0.;
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//
image_point_x = frame->xmin + col*dx;
image_point_y = frame->ymin + row*dy;
//
int i = ithread;
if (i < nhalos)
{
cosi[i] = __ldg(&lens->anglecos [shalos + i]);
sinu[i] = __ldg(&lens->anglesin [shalos + i]);
position_x[i] = __ldg(&lens->position_x [shalos + i]);
position_y[i] = __ldg(&lens->position_y [shalos + i]);
rc[i] = __ldg(&lens->rcore [shalos + i]);
b0[i] = __ldg(&lens->b0 [shalos + i]);
epsi[i] = __ldg(&lens->ellipticity_potential[shalos + i]);
//sonemeps[i] = 1 - epsi[i];
//sonepeps[i] = 1 + epsi[i];
rsqe[i] = sqrt(epsi[i]);
}
__syncthreads();
//
if ((row < nbgridcells) && (col < nbgridcells))
{
for(int i = 0; i < nhalos; i++)
{
//
double true_coord_x = image_point_x - position_x[i];
double true_coord_y = image_point_y - position_y[i];
//
double x = true_coord_x*cosi[i] + true_coord_y*sinu[i];
double y = true_coord_y*cosi[i] - true_coord_x*sinu[i];
//
double eps = epsi[i];
//double onemeps = 1 - eps;
//double onepeps = 1 + eps;
//
//double eps = epsi[i];
double onemeps = sonemeps[i];
double onepeps = sonepeps[i];
//
//double sqe = sqrt(eps);
double sqe = rsqe[i];
double rem2 = x*x/(onepeps*onepeps) + y*y/(onemeps*onemeps);
//
complex zis;
//
double znum_re, znum_im;
double zres_re, zres_im;
double norm;
double zden_re, zden_im;
double zis_re, zis_im;
//
double zci_im = -0.5*(1. - eps*eps)/sqe;
//
double cx1 = onemeps/onepeps;
//
znum_re = cx1*x;
znum_im = 2.*sqe*sqrt(rc[i]*rc[i] + rem2) - y/cx1;
//
zden_re = x;
zden_im = 2.*rc[i]*sqe - y;
//
norm = (x*x + zden_im*zden_im); // zis = znum/zden
zis.re = (znum_re*x + znum_im*zden_im)/norm;
zis.im = (znum_im*x - znum_re*zden_im)/norm;
//
norm = zis.re;
//
zis.re = log(sqrt(norm*norm + zis.im*zis.im)); // ln(zis) = ln(|zis|)+i.Arg(zis)
zis.im = atan2(zis.im, norm);
//
zres_re = - zci_im*zis.im; // Re( zci*ln(zis) )
zres_im = zci_im*zis.re; // Im( zci*ln(zis) )
//
grad_x += b0[i]*(zres_re*cosi[i] - zres_im*sinu[i]);
grad_y += b0[i]*(zres_im*cosi[i] + zres_re*sinu[i]);
}
//
grid_grad_x[index] = grad_x;
grid_grad_y[index] = grad_y;
//__syncthreads();
}
}
//
//
//
__global__
void
module_potentialDerivatives_totalGradient_8_SOA_GPU_SM3(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA
*lens, const struct grid_param *frame, int nbgridcells, int shalos, int nhalos)
{
//
//asm volatile("# module_potentialDerivatives_totalGradient_SOA begins");
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
double grad_x, grad_y;
double clumpgrad_x, clumpgrad_y;
double image_point_x, image_point_y;
//
SHARED double cosi [200];
SHARED double sinu [200];
SHARED double rci [200];
SHARED double b0 [200];
SHARED double epsi [200];
SHARED double position_x[200];
SHARED double position_y[200];
SHARED double rsqe [200];
//SHARED double sgrad_x [(BLOCK_SIZE_X + 1)*BLOCK_SIZE_Y];
//SHARED double sgrad_y [(BLOCK_SIZE_X + 1)*BLOCK_SIZE_Y];
//SHARED double sonepeps [200];
//SHARED double sonemeps [200];
//
grad_x = 0;
grad_y = 0;
//
int row = blockIdx.y*blockDim.y + threadIdx.y;
int col = blockIdx.x*blockDim.x + threadIdx.x;
//
//int loc_row = threadIdx.x;
//int loc_col = threadIdx.y*blockDim.x + threadIdx.x;
//
//int grid_size = nbgridcells/blockDim.y;
//
//if (threadIdx.x == 0) printf("%d %d %d: row = %d, col = %d, grid_size = %d\n", blockIdx.y, gridDim.y, threadIdx.y, row, col, grid_size);
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//if (threadIdx.x == 0) printf("dx = %f, dy = %f\n", dx, dy);
//
image_point_x = frame->xmin + col*dx;
image_point_y = frame->ymin + row*dy;
//
//int iloc = threadIdx.x*blockDim.y + threadIdx.y;
int iglob = row*nbgridcells + col;
int numThreads = blockDim.x*blockDim.y;
//
for (int i = 0; i < (nhalos + numThreads - 1)/numThreads; ++i)
{
int iloc = threadIdx.y*blockDim.x + threadIdx.x + i*numThreads;
if (iloc < nhalos)
{
cosi[iloc] = __ldg(&lens->anglecos [shalos + iloc]);
sinu[iloc] = __ldg(&lens->anglesin [shalos + iloc]);
position_x[iloc] = __ldg(&lens->position_x [shalos + iloc]);
position_y[iloc] = __ldg(&lens->position_y [shalos + iloc]);
rci[iloc] = __ldg(&lens->rcore [shalos + iloc]);
b0[iloc] = __ldg(&lens->b0 [shalos + iloc]);
epsi[iloc] = __ldg(&lens->ellipticity_potential[shalos + iloc]);
rsqe[iloc] = sqrt(epsi[iloc]);
}
}
__syncthreads();
//
if ((row < nbgridcells) && (col < nbgridcells))
{
//
for(int i = 0; i < nhalos; i++)
{
//int index = iloc;
#if 1
double rc = rci[i];
double eps = epsi[i];
double onemeps = 1 - eps;
double onepeps = 1 + eps;
//
double sqe = rsqe[i];
double cx1 = onemeps/onepeps;
//
//
//double zci_im = 1;
double zci_im = -0.5*(1. - eps*eps)/sqe;
double inv_onepeps = 1./(onepeps*onepeps);
double inv_onemeps = 1./(onemeps*onemeps);
#endif
//
{
//KERNEL_8;
double grad_x = grad_y = 0.;
double true_coord_y = image_point_y - position_y[i];
double true_coord_x = image_point_x - position_x[i];
KERNEL_8_reg(0);
grid_grad_x[iglob + 0] += grad_x;
grid_grad_y[iglob + 0] += grad_y;
}
/*
{
//KERNEL_8;
double grad_x = grad_y = 0.;
double true_coord_y = image_point_y - position_y[i];
double true_coord_x = image_point_x - position_x[i] + BLOCK_SIZE_X/2*dx;
KERNEL_8_reg(0);
grid_grad_x[iglob + BLOCK_SIZE_X/2] += grad_x;
grid_grad_y[iglob + BLOCK_SIZE_X/2] += grad_y;
}
*/
//
}
}
}
//
//
//
__global__
void
module_potentialDerivatives_totalGradient_8_SOA_GPU_SM4(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA
lens, const struct grid_param *frame, int nbgridcells, int shalos, int nhalos/*, double* dtimer*/)
{
//
//asm volatile("# module_potentialDerivatives_totalGradient_SOA begins");
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
double grad_x, grad_y;
double clumpgrad_x, clumpgrad_y;
double image_point_x, image_point_y;
//
//
double* cosi = &shared[0*nhalos];
double* sinu = &shared[1*nhalos];
double* rc = &shared[2*nhalos];
double* b0 = &shared[3*nhalos];
double* epsi = &shared[4*nhalos];
double* position_x = &shared[5*nhalos];
double* position_y = &shared[6*nhalos];
double* rsqe = &shared[7*nhalos];
//SHARED double sonepeps [200];
//SHARED double sonemeps [200];
//
grad_x = 0;
grad_y = 0;
//
int grid_size = nbgridcells/gridDim.y;
int row = blockIdx.x*blockDim.x + threadIdx.x;
int col = (blockIdx.y*blockDim.y + threadIdx.y)/**grid_size*/;
//
//
#if 1
//SHARED double sgrad_x [
if (/*(threadIdx.x == 0) &&*/ (blockIdx.x == 0))
{
if (threadIdx.x == 0) printf("blockDim.x = %d, blockIdx.x = %d grimdDim.x = %d threadIdx.x = %d\n", blockDim.x, blockIdx.x, gridDim.x, threadIdx.x);
if (threadIdx.x == 0) printf("blockDim.y = %d, blockIdx.y = %d grimdDim.y = %d threadIdx.y = %d\n", blockDim.y, blockIdx.y, gridDim.y, threadIdx.y);
if (threadIdx.x == 0) printf("row = %d, col = %d, grid_size = %d\n", row, col, grid_size);
}
__syncthreads();
#endif
double* sgrad_x = &shared[8*nhalos];
double* sgrad_y = &shared[8*nhalos + (grid_size + 1)*blockDim.x];
//
//
//grid_grad_x[index] = 0.;
//grid_grad_y[index] = 0.;
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//
//if (threadIdx.x == 0) printf("dx = %f, dy = %f\n", dx, dy);
//
image_point_x = frame->xmin + col*dx;
image_point_y = frame->ymin + row*dy;
return;
//
int i = 0;
#if 0
for (; i < nhalos; i = i + blockDim.x)
{
int pos = threadIdx.x + i;
/*if ((threadIdx.x == 0) && (blockIdx.x == 0))*/ printf("pos = %d\n");
__syncthreads();
//
cosi[pos] = __ldg(&lens->anglecos [shalos + pos]);
sinu[pos] = __ldg(&lens->anglesin [shalos + pos]);
position_x[pos] = __ldg(&lens->position_x [shalos + pos]);
position_y[pos] = __ldg(&lens->position_y [shalos + pos]);
rc[pos] = __ldg(&lens->rcore [shalos + pos]);
b0[pos] = __ldg(&lens->b0 [shalos + pos]);
epsi[pos] = __ldg(&lens->ellipticity_potential[shalos + pos]);
rsqe[pos] = sqrt(epsi[i]);
//
}
#endif
#if 0
if (threadIdx.x == 0)
for (; i < nhalos; i += 1)
{
cosi[i] = __ldg(&lens->anglecos [shalos + i]);
sinu[i] = __ldg(&lens->anglesin [shalos + i]);
position_x[i] = __ldg(&lens->position_x [shalos + i]);
position_y[i] = __ldg(&lens->position_y [shalos + i]);
rc[i] = __ldg(&lens->rcore [shalos + i]);
b0[i] = __ldg(&lens->b0 [shalos + i]);
epsi[i] = __ldg(&lens->ellipticity_potential[shalos + i]);
rsqe[i] = sqrt(epsi[i]);
}
#endif
__syncthreads();
//if ((row == col == 0)) printf("shared mem done...\n");
//
if (row < nbgridcells)
{
//for(int icol = 0; icol < grid_size; ++icol){
// if (col + icol < nbgridcells){
//grad_x = grad_y = 0.;
int index = row*nbgridcells + col;
//
for(int i = 0; i < nhalos; i++)
{
int sindex = threadIdx.x*grid_size;
#if 0
double eps = epsi[i];
double onemeps = 1 - eps;
double onepeps = 1 + eps;
//
double sqe = rsqe[i];
double cx1 = onemeps/onepeps;
//
//
//double x = true_coord_y*sinu[i];
//double y = true_coord_y*cosi[i];
double true_coord_y = image_point_y - position_y[i];
double true_coord_x = image_point_x - position_x[i] /*+ icol*dx*/;
//
complex zci;
zci.im = -0.5*(1. - eps*eps)/sqe;
double inv_onepeps = 1./(onepeps*onepeps);
double inv_onemeps = 1./(onemeps*onemeps);
#endif
//
for(int icol = 0; icol < grid_size; ++icol)
{
if (col + icol < nbgridcells)
{
#if 0
if ((row == 1) && (col == 1)) printf("%d %d: %f %f\n", row, col, true_coord_x, true_coord_y);
true_coord_x = image_point_x - position_x[i] + icol*dx;
//
//x += true_coord_x*cosi[i];
//y -= true_coord_x*sinu[i];
double x = true_coord_x*cosi[i] + true_coord_y*sinu[i];
double y = true_coord_y*cosi[i] - true_coord_x*sinu[i];
//
//if ((row == 1) && (col == 0)) printf("i = %d, eps = %f\n", i, eps);
//
//double eps = epsi[i];
//double onemeps = sonemeps[i];
//double onepeps = sonepeps[i];
//
//double sqe = sqrt(eps);
//double rem2 = x*x/(onepeps*onepeps) + y*y/(onemeps*onemeps);
double rem2 = x*x*inv_onepeps + y*y*inv_onemeps;
//
//
//double znum_re, znum_im;
//double zres_re, zres_im;
//double zden_re, zden_im;
//double zis_re, zis_im;
double norm;
//
complex zis;
complex znum;
complex zden;
complex zres;
//
//double cx1 = onemeps/onepeps;
//
znum.re = cx1*x;
znum.im = 2.*sqe*sqrt(rc[i]*rc[i] + rem2) - y/cx1;
//
zden.re = x;
zden.im = 2.*rc[i]*sqe - y;
//
norm = (x*x + zden.im*zden.im); // zis = znum/zden
zis.re = (znum.re*x + znum.im*zden.im)/norm;
zis.im = (znum.im*x - znum.re*zden.im)/norm;
//
norm = zis.re;
//
zis.re = log(sqrt(norm*norm + zis.im*zis.im)); // ln(zis) = ln(|zis|)+i.Arg(zis)
zis.im = atan2(zis.im, norm);
//
zres.re = - zci.im*zis.im; // Re( zci*ln(zis) )
zres.im = zci.im*zis.re; // Im( zci*ln(zis) )
//
grid_grad_x[index] += b0[i]*(zres.re*cosi[i] - zres.im*sinu[i]);
grid_grad_y[index] += b0[i]*(zres.im*cosi[i] + zres.re*sinu[i]);
#endif
//sgrad_x[sindex] += (float) sindex;
sgrad_y[sindex] += (float) -sindex;
//sindex++;
//
//grid_grad_x[index] += grad_x;
//grid_grad_y[index] += grad_y;
}
//
}
}
__syncthreads();
return;
//
#if 0
int sindex = threadIdx.x*grid_size;
for(int icol = 0; icol < grid_size; ++icol)
{
if (col + icol < nbgridcells)
{
grid_grad_x[index + col] = sgrad_x[sindex];
grid_grad_y[index + col] = sgrad_y[sindex];
sindex++;
}
}
__syncthreads();
#endif
}
}
__global__
void
module_potentialDerivatives_totalGradient_8_SOA_GPU_v2(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA *lens, const struct grid_param *frame, int nbgridcells, int i, int nhalos)
{
//asm volatile("# module_potentialDerivatives_totalGradient_SOA begins");
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
struct point grad, clumpgrad, image_point;
grad.x = 0;
grad.y = 0;
//
int row = blockIdx.y * blockDim.y + threadIdx.y;
int col = blockIdx.x * blockDim.x + threadIdx.x;
//
if ((row < nbgridcells) && (col < nbgridcells))
{
//
int index = col*nbgridcells + row;
//
//grid_grad_x[index] = 0.;
//grid_grad_y[index] = 0.;
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//
#if 0
/*SHARED*/ double img_pt[2];
if ((row == 0) && (col == 0))
{
img_pt[0] = frame->xmin + col*dx;
img_pt[1] = frame->ymin + row*dy;
}
__syncthreads();
#else
image_point.x = frame->xmin + col*dx;
image_point.y = frame->ymin + row*dy;
#endif
//
//
//for(int i = shalos; i < shalos + nhalos; i++)
//{
//IACA_START;
//
struct point true_coord, true_coord_rot; //, result;
//double R, angular_deviation;
complex zis;
//
//result.x = result.y = 0.;
//
#if 0
true_coord.x = img_pt[0] - __ldg(&lens->position_x[i]);
true_coord.y = img_pt[1] - __ldg(&lens->position_y[i]);
#else
true_coord.x = image_point.x - __ldg(&lens->position_x[i]);
true_coord.y = image_point.y - __ldg(&lens->position_y[i]);
#endif
double cosi = __ldg(&lens->anglecos[i]);
double sinu = __ldg(&lens->anglesin[i]);
// positionning at the potential center
// Change the origin of the coordinate system to the center of the clump
double x = true_coord.x*cosi + true_coord.y*sinu;
double y = true_coord.y*cosi - true_coord.x*sinu;
//
double eps = __ldg(&lens->ellipticity_potential[i]);
//
double sqe = sqrt(eps);
//
double rem2 = x*x/((1. + eps)*(1. + eps)) + y*y/((1. - eps)*(1. - eps));
//
complex zci;
complex znum, zden, zres;
double norm;
//
zci.im = -0.5*(1. - eps*eps)/sqe;
//
double rc = __ldg(&lens->rcore[i]);
double cx1 = (1. - eps)/(1. + eps);
znum.re = cx1*x;
znum.im = 2.*sqe*sqrt(rc*rc + rem2) - y/cx1;
//
zden.re = x;
zden.im = 2.*rc*sqe - y;
norm = (zden.re*zden.re + zden.im*zden.im); // zis = znum/zden
//
zis.re = (znum.re*zden.re + znum.im*zden.im)/norm;
zis.im = (znum.im*zden.re - znum.re*zden.im)/norm;
//
double b0 = __ldg(&lens->b0[i]);
grad.x += b0*(zres.re*cosi - zres.im*sinu);
grad.y += b0*(zres.im*cosi + zres.re*sinu);
//
grid_grad_x[index] += grad.x;
grid_grad_y[index] += grad.y;
}
}
#if 1
typedef struct point (*halo_func_GPU_t) (const struct point *pImage, const struct Potential_SOA *lens, int shalos, int nhalos);
__constant__ halo_func_GPU_t halo_func_GPU[100] =
{
0, 0, 0, 0, 0, module_potentialDerivatives_totalGradient_5_SOA_GPU, 0, 0, module_potentialDerivatives_totalGradient_8_SOA_GPU, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, module_potentialDerivatives_totalGradient_81_SOA_GPU, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};
#endif
__device__ point module_potentialDerivatives_totalGradient_5_SOA_GPU(const struct point *pImage, const struct Potential_SOA *lens, int shalos, int nhalos){
//asm volatile("# module_potentialDerivatives_totalGradient_SIS_SOA_v2 begins");
//printf("# module_potentialDerivatives_totalGradient_SIS_SOA_v2 begins\n");
//
struct point grad, result;
grad.x = 0;
grad.y = 0;
for(int i = shalos; i < shalos + nhalos; i++)
{
//
struct point true_coord, true_coord_rotation;
//
true_coord.x = pImage->x - lens->position_x[i];
true_coord.y = pImage->y - lens->position_y[i];
//
//true_coord_rotation = rotateCoordinateSystem(true_coord, lens->ellipticity_angle[i]);
double cose = lens->anglecos[i];
double sine = lens->anglesin[i];
//
double x = true_coord.x*cose + true_coord.y*sine;
double y = true_coord.y*cose - true_coord.x*sine;
//
double ell_pot = lens->ellipticity_potential[i];
//
double R = sqrt(x*x*(1 - ell_pot) + y*y*(1 + ell_pot));
//
result.x = (1 - ell_pot)*lens->b0[i]*x/R;
result.y = (1 + ell_pot)*lens->b0[i]*y/R;
//
grad.x += result.x*cose - result.y*sine;
grad.y += result.y*cose + result.x*sine;
}
return grad;
}
__device__ point module_potentialDerivatives_totalGradient_8_SOA_GPU(const struct point *image_point, const struct Potential_SOA *lens, int shalos, int nhalos){
struct point grad;
grad.x = 0;
grad.y = 0;
//
for(int i = shalos; i < shalos + nhalos; i++)
{
complex zis;
// positioning at the potential center
// Change the origin of the coordinate system to the center of the clump
//@@if ((row == Ny) && (col == Nx)) printf("image_x = %f, %f image_y = %f, %f\n", image_point.x, frame->xmin, image_point.y,frame->ymin);
double true_coord_x = image_point->x - __ldg(&lens->position_x[i]);
double true_coord_y = image_point->y - __ldg(&lens->position_y[i]);
//if ((row == Ny) && (col == Nx)) printf("x = %f y = %f\n", true_coord_x, true_coord_y);
//
double cosi = __ldg(&lens->anglecos[i]);
double sinu = __ldg(&lens->anglesin[i]);
//
double x = true_coord_x*cosi + true_coord_y*sinu;
double y = true_coord_y*cosi - true_coord_x*sinu;
//
//if ((row == Ny) && (col == Nx)) printf("x = %f y = %f\n", x, y);
//
double eps = __ldg(&lens->ellipticity_potential[i]);
//
double sqe = sqrt(eps);
//
double rem2 = x*x/((1. + eps)*(1. + eps)) + y*y/((1. - eps)*(1. - eps));
//
complex zci;
complex znum, zden, zres;
double norm;
//
zci.re = 0;
zci.im = -0.5*(1. - eps*eps)/sqe;
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zci.re, zci.im);
//
double rc = __ldg(&lens->rcore[i]);
double cx1 = (1. - eps)/(1. + eps);
znum.re = cx1*x;
znum.im = 2.*sqe*sqrt(rc*rc + rem2) - y/cx1;
//
zden.re = x;
zden.im = 2.*rc*sqe - y;
norm = (zden.re*zden.re + zden.im*zden.im); // zis = znum/zden
//@@if ((col == Nx) && (row == Ny)) printf("norm = %f\n", norm);
//
zis.re = (znum.re*zden.re + znum.im*zden.im)/norm;
zis.im = (znum.im*zden.re - znum.re*zden.im)/norm;
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zis.re, zis.im);
//
norm = zis.re;
//
zis.re = log(sqrt(norm*norm + zis.im*zis.im)); // ln(zis) = ln(|zis|)+i.Arg(zis)
zis.im = atan2(zis.im, norm);
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zis: %f %f\n", row, col, zis.re, zis.im);
//
zres.re = zci.re*zis.re - zci.im*zis.im; // Re( zci*ln(zis) )
zres.im = zci.im*zis.re + zis.im*zci.re; // Im( zci*ln(zis) )
//
//@@if ((col == Nx) && (row == Ny)) printf("%d %d, zres: %f %f\n", row, col, zres.re, zres.im);
//
double b0 = __ldg(&lens->b0[i]);
grad.x += b0*(zres.re*cosi - zres.im*sinu);
grad.y += b0*(zres.im*cosi + zres.re*sinu);
//@@if ((col == Nx) && (row == Ny)) printf("grad: %f %f\n", grad.x, grad.y);
}
//IACA_END;
//
return(grad);
}
__device__ point module_potentialDerivatives_totalGradient_81_SOA_GPU(const struct point *pImage, const struct Potential_SOA *lens, int shalos, int nhalos){
//asm volatile("# module_potentialDerivatives_totalGradient_81_SOA begins");
//std::cout << "# module_potentialDerivatives_totalGradient_81_SOA begins" << std::endl;
// 6 DP loads, i.e. 48 Bytes: position_x, position_y, ellipticity_angle, ellipticity_potential, rcore, b0
//
struct point grad, clumpgrad;
grad.x = 0;
grad.y = 0;
for(int i = shalos; i < shalos + nhalos; i++)
{
//IACA_START;
//
struct point true_coord, true_coord_rot; //, result;
//double R, angular_deviation;
complex zis;
//
//result.x = result.y = 0.;
//
true_coord.x = pImage->x - lens->position_x[i];
true_coord.y = pImage->y - lens->position_y[i];
/*positionning at the potential center*/
// Change the origin of the coordinate system to the center of the clump
double cose = lens->anglecos[i];
double sine = lens->anglesin[i];
double x = true_coord.x*cose + true_coord.y*sine;
double y = true_coord.y*cose - true_coord.x*sine;
//
double eps = lens->ellipticity_potential[i];
double rc = lens->rcore[i];
double rcut = lens->rcut[i];
double b0 = lens->b0[i];
double t05 = b0*rcut/(rcut - rc);
//
double sqe = sqrt(eps);
//
double cx1 = (1. - eps)/(1. + eps);
double cxro = (1. + eps)*(1. + eps);
double cyro = (1. - eps)*(1. - eps);
//
double rem2 = x*x/cxro + y*y/cyro;
//
complex zci, znum, zden, zres_rc, zres_rcut;
double norm;
//
zci.re = 0;
zci.im = -0.5*(1. - eps*eps)/sqe;
//
// step 1
{
KERNEL(rc, zres_rc)
}
// step 2
{
KERNEL(rcut, zres_rcut)
}
zis.re = t05*(zres_rc.re - zres_rcut.re);
zis.im = t05*(zres_rc.im - zres_rcut.im);
// rotation
grad.x += (zis.re*cose - zis.im*sine);
grad.y += (zis.im*cose + zis.re*sine);
//
}
//
return(grad);
}
__global__
void
module_potentialDerivatives_totalGradient_SOA_GPU(double *grid_grad_x, double *grid_grad_y, const struct Potential_SOA *lens, const struct grid_param *frame, int nbgridcells, int nhalos)
{
struct point grad, clumpgrad, image_point;
//
int col = blockIdx.x*blockDim.x + threadIdx.x;
int row = blockIdx.y*blockDim.y + threadIdx.y;
//
if ((row < nbgridcells) && (col < nbgridcells))
{
//
double dx = (frame->xmax - frame->xmin)/(nbgridcells-1);
double dy = (frame->ymax - frame->ymin)/(nbgridcells-1);
//
int index = row*nbgridcells + col;
// Create temp grad variable to minimise writing to global memory grid_grad
grad.x = 0;
grad.y = 0;
//
image_point.x = frame->xmin + col*dx;
image_point.y = frame->ymin + row*dy;
//
int shalos = 0;
while (shalos < nhalos)
{
int lens_type = lens->type[shalos];
int count = 1;
while (lens->type[shalos + count] == lens_type) count++;
//
//if(row == 0 && col == 0) printf("type = %d, count %d , shalos %d \n", lens_type,count,shalos );
//
clumpgrad = (*halo_func_GPU[lens_type])(&image_point, lens, shalos, count);
//
grad.x += clumpgrad.x;
grad.y += clumpgrad.y;
shalos += count;
}
// Write to global memory
grid_grad_x[index] = grad.x;
grid_grad_y[index] = grad.y;
//if ((row == 0) && (col == 9))
//printf("%f %f: %f %f\n", image_point.x, image_point.y, grid_grad_x[index], grid_grad_y[index]);
}
}
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