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GradientTest.cpp
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Wed, Nov 20, 16:33

GradientTest.cpp
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#include <iostream>
#include <string.h>
#include "structure.h"
#include <math.h>
#include <sys/time.h>
#include <fstream>
#include <../GradientBenchmark/Grad.h>
complex piemd_1derivatives(double x, double y, double eps, double rc);
void rotatecoordinatestest();
void piemdtest();
void sistest();
int main()
{
//Rotation of coordinates
rotatecoordinatestest();
//Tests for PIEMD potential
piemdtest();
//Tests for SIS potential
sistest();
}
void rotatecoordinatestest(){
//Init
point P;
P.x = P.y = 2;
double theta = 0.3; //rad
point coord = rotateCoordinateSystem(P,theta);
if (coord.x != P.x*cos(theta) + P.y*sin(theta)){
std::cerr << "Rotatecoordinatestest X: Theoretically we should have "
<< P.x*cos(theta) + P.y*sin(theta) << " and "
<< coord.x << std::endl;
exit(0);
}
if (coord.y != P.x*cos(theta) - P.y*sin(theta)){
std::cerr << "Rotatecoordinatestest Y: Theoretically we should have "
<< P.x*cos(theta) - P.y*sin(theta) << " and "
<< coord.y << std::endl;
exit(0);
}
}
void piemdtest() {
//////Setting the problem
int big(1);
runmode_param runmode;
point image;
runmode.nhalos = big;
image.x = image.y = 2;
/////// Test for 1 PIEMD mass distribution:
//1: module_readParameters_calculatePotentialparameter
//2: piemd_1derivatives_ci05
//3: gradient
//1: module_readParameters_calculatePotentialparameter
///////theoretical b0, ellipticity calculation
//Init
double b0(0), ellipticity_potential(0);
double vdisp(1.), ellipticity(0.11);
//Computation
ellipticity_potential = (1. - sqrt(1 - ellipticity * ellipticity))
/ ellipticity;
b0 = 6. * pi_c2 * vdisp * vdisp;
///////numerical b0, ellipticity_potential calculation
//Init
Potential* ilens;
Potential lens[big];
for (int i = 0; i < big; ++i) {
ilens = &lens[i];
ilens->position.x = ilens->position.y = -1.;
ilens->type = 8;
ilens->ellipticity = 0.11;
ilens->ellipticity_potential = 0.;
ilens->ellipticity_angle = 0.4;
ilens->vdisp = 1.;
ilens->rcut = 5.;
ilens->rcore = 1;
ilens->weight = 0;
ilens->rscale = 0;
ilens->exponent = 0;
ilens->alpha = 0.;
ilens->einasto_kappacritic = 0;
ilens->z = 0.4;
//Computation
module_readParameters_calculatePotentialparameter(ilens);
}
if (b0 != lens[0].b0) {
std::cerr << "PIEMD b0: Theoretically we should have " << b0 << " and "
<< lens[0].b0 << std::endl;
exit(0);
}
if (ellipticity_potential != lens[0].ellipticity_potential) {
std::cerr << "PIEMD ellipticity_potential: Theoretically we should have "
<< ellipticity_potential << " and "
<< lens[0].ellipticity_potential << std::endl;
exit(0);
}
//2: piemd_1derivatives_ci05
//Init
complex ztheo, zcomput;
///////theoretical piemd
ztheo = piemd_1derivatives(image.x, image.y, ellipticity_potential, 1);
///////numerical piemd
zcomput = piemd_1derivatives_ci05(image.x, image.y, ellipticity_potential,1);
if (ztheo.re != zcomput.re) {
std::cerr << "PIEMD z_piemd.re: Theoretically we should have " << ztheo.re
<< " and " << zcomput.re << std::endl;
exit(0);
}
if (ztheo.im != zcomput.im) {
std::cerr << "PIEMD z_piemd.im: Theoretically we should have " << ztheo.im
<< " and " << zcomput.im << std::endl;
exit(0);
}
//3: gradient
///////theoretical
//Init
point gradtheo, grad, true_coord, true_coord_rot;
grad.x = grad.y = 0;
//Computation
true_coord.x = image.x + 1; // Change the origin of the coordinate system to the center of the clump
true_coord.y = image.y + 1;
true_coord_rot = rotateCoordinateSystem(true_coord,0.4);
ztheo = piemd_1derivatives(true_coord_rot.x, true_coord_rot.y, ellipticity_potential, 1);
gradtheo.x = b0 * ztheo.re;
gradtheo.y = b0 * ztheo.im;
///////Computation
//Init SoA
PotentialSet lenses;
lenses.type = new int[big];
lenses.x = new double[big];
lenses.y = new double[big];
lenses.b0 = new double[big];
lenses.ellipticity_angle = new double[big];
lenses.ellipticity = new double[big];
lenses.ellipticity_potential = new double[big];
lenses.rcore = new double[big];
lenses.rcut = new double[big];
lenses.z = new double[big];
for (int i = 0; i < big; ++i) {
lenses.type[i] = lens[i].type;
lenses.x[i] = lens[i].position.x;
lenses.y[i] = lens[i].position.y;
lenses.b0[i] = lens[i].b0;
lenses.ellipticity_angle[i] = lens[i].ellipticity_angle;
lenses.ellipticity[i] = lens[i].ellipticity;
lenses.ellipticity_potential[i] = lens[i].ellipticity_potential;
lenses.rcore[i] = lens[i].rcore;
lenses.rcut[i] = lens[i].rcut;
lenses.z[i] = lens[i].z;
}
// Computation
grad = module_potentialDerivatives_totalGradient(&runmode, &image, &lenses);
if (gradtheo.x != grad.x) {
std::cerr << "PIEMD grad.x: Theoretically we should have " << gradtheo.x
<< " and " << grad.x << std::endl;
exit(0);
}
if (gradtheo.y != grad.y) {
std::cerr << "PIEMD grad.y: Theoretically we should have " << gradtheo.y
<< " and " << grad.y << std::endl;
exit(0);
}
std::cout << "PIEMD Everythings fine, No test failed " << std::endl;
}
void sistest() {
//////Setting the problem
int big(1);
runmode_param runmode;
point image;
runmode.nhalos = big;
image.x = image.y = 2;
/////// Test for 1 SIS mass distribution:
//1: module_readParameters_calculatePotentialparameter
//2: gradient
//1: module_readParameters_calculatePotentialparameter
///////theoretical b0, ellipticity calculation
//Init
double b0(0), ellipticity_potential(0);
double vdisp(1.), ellipticity(0.11);
//Computation
ellipticity_potential = ellipticity/3;
b0 = 4. * pi_c2 * vdisp * vdisp;
///////numerical b0, ellipticity_potential calculation
//Init
Potential* ilens;
Potential lens[big];
for (int i = 0; i < big; ++i) {
ilens = &lens[i];
ilens->position.x = ilens->position.y = -1.;
ilens->type = 5;
ilens->ellipticity = 0.11;
ilens->ellipticity_potential = 0.;
ilens->ellipticity_angle = 0.4;
ilens->vdisp = 1.;
ilens->rcut = 5.;
ilens->rcore = 1;
ilens->weight = 0;
ilens->rscale = 0;
ilens->exponent = 0;
ilens->alpha = 0.;
ilens->einasto_kappacritic = 0;
ilens->z = 0.4;
//Computation
module_readParameters_calculatePotentialparameter(ilens);
}
if (b0 != lens[0].b0) {
std::cerr << "SIS b0: Theoretically we should have " << b0 << " and "
<< lens[0].b0 << std::endl;
exit(0);
}
if (ellipticity_potential != lens[0].ellipticity_potential) {
std::cerr << "SIS ellipticity_potential: Theoretically we should have "
<< ellipticity_potential << " and "
<< lens[0].ellipticity_potential << std::endl;
exit(0);
}
//2: gradient
///////theoretical
//Init
double R;
point gradtheo, grad, true_coord, true_coord_rot;
grad.x = grad.y = 0;
//Computation
true_coord.x = image.x + 1; // Change the origin of the coordinate system to the center of the clump
true_coord.y = image.y + 1;
true_coord_rot = rotateCoordinateSystem(true_coord,0.4);
R=sqrt(true_coord_rot.x*true_coord_rot.x*(1-ellipticity/3.)+true_coord_rot.y*true_coord_rot.y*(1+ellipticity/3.));
gradtheo.x=(1-ellipticity/3.)*b0*true_coord_rot.x/(R);
gradtheo.y=(1+ellipticity/3.)*b0*true_coord_rot.y/(R);
///////Computation
//Init SoA
PotentialSet lenses;
lenses.type = new int[big];
lenses.x = new double[big];
lenses.y = new double[big];
lenses.b0 = new double[big];
lenses.ellipticity_angle = new double[big];
lenses.ellipticity = new double[big];
lenses.ellipticity_potential = new double[big];
lenses.rcore = new double[big];
lenses.rcut = new double[big];
lenses.z = new double[big];
for (int i = 0; i < big; ++i) {
lenses.type[i] = lens[i].type;
lenses.x[i] = lens[i].position.x;
lenses.y[i] = lens[i].position.y;
lenses.b0[i] = lens[i].b0;
lenses.ellipticity_angle[i] = lens[i].ellipticity_angle;
lenses.ellipticity[i] = lens[i].ellipticity;
lenses.ellipticity_potential[i] = lens[i].ellipticity_potential;
lenses.rcore[i] = lens[i].rcore;
lenses.rcut[i] = lens[i].rcut;
lenses.z[i] = lens[i].z;
}
// Computation
grad = module_potentialDerivatives_totalGradient(&runmode, &image, &lenses);
if (gradtheo.x != grad.x) {
std::cerr << "SIS grad.x: Theoretically we should have " << gradtheo.x
<< " and " << grad.x << std::endl;
exit(0);
}
if (gradtheo.y != grad.y) {
std::cerr << "SIS grad.y: Theoretically we should have " << gradtheo.y
<< " and " << grad.y << std::endl;
exit(0);
}
std::cout << "SIS Everythings fine, No test failed " << std::endl;
}
complex piemd_1derivatives(double x, double y, double eps, double rc)
{
double sqe, cx1, cxro, cyro, rem2;
complex zci, znum, zden, zis, zres;
double norm;
sqe = sqrt(eps);
cx1 = (1. - eps) / (1. + eps);
cxro = (1. + eps) * (1. + eps);
cyro = (1. - eps) * (1. - eps);
rem2 = x * x / cxro + y * y / cyro;
/*zci=cpx(0.,-0.5*(1.-eps*eps)/sqe);
znum=cpx(cx1*x,(2.*sqe*sqrt(rc*rc+rem2)-y/cx1));
zden=cpx(x,(2.*rc*sqe-y));
zis=pcpx(zci,lncpx(dcpx(znum,zden)));
zres=pcpxflt(zis,b0);*/
// --> optimized code
zci.re = 0;
zci.im = -0.5 * (1. - eps * eps) / sqe;
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;
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);
// norm = zis.re;
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) )
//zres.re = zis.re*b0;
//zres.im = zis.im*b0;
return(zres);
}

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