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#include <iomanip>
#include "catch2/catch_all.hpp"
#include "purify/directories.h"
#include "purify/kernels.h"
#include "purify/operators.h"
#include "purify/pfitsio.h"
#include "purify/test_data.h"
#include "purify/utilities.h"
#include "purify/wproj_operators.h"
#include <sopt/power_method.h>
using namespace purify;
using Catch::Approx;
TEST_CASE("regression_degrid") {
const t_int imsizex = 256;
const t_int imsizey = 256;
Vector<t_real> u = Vector<t_real>::Random(10) * imsizex / 2;
Vector<t_real> v = Vector<t_real>::Random(10) * imsizey / 2;
Vector<t_complex> input = Vector<t_complex>::Zero(imsizex * imsizey);
input(static_cast<t_int>(imsizex * 0.5 + imsizey * 0.5 * imsizex)) = 1.;
const t_uint M = u.size();
const t_real oversample_ratio = 2;
const t_int ftsizev = std::floor(imsizey * oversample_ratio);
const t_int ftsizeu = std::floor(imsizex * oversample_ratio);
const t_uint Ju = 8;
const t_uint Jv = 8;
const Vector<t_complex> y = Vector<t_complex>::Ones(u.size());
CAPTURE(u);
CAPTURE(v);
SECTION("kb") {
const kernels::kernel kernel = kernels::kernel::kb;
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u, v, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M), imsizey, imsizex,
oversample_ratio, kernel, Ju, Jv);
const Vector<t_complex> y_test = *measure_op * input;
CAPTURE(y_test.array() / y.array());
const t_real max_test = y_test.cwiseAbs().mean();
CAPTURE(y_test / max_test);
CAPTURE(y);
CHECK((y_test / max_test).isApprox((y), 1e-6));
}
SECTION("pswf") {
const kernels::kernel kernel = kernels::kernel::pswf;
const auto measure_op = measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u, v, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M), imsizey, imsizex,
oversample_ratio, kernel, 6, 6);
const Vector<t_complex> y_test = *measure_op * input;
CAPTURE(y_test.array() / y.array());
const t_real max_test = y_test.cwiseAbs().mean();
CAPTURE(y_test / max_test);
CAPTURE(y);
CHECK((y_test / max_test).isApprox((y), 1e-3));
}
SECTION("gauss") {
const kernels::kernel kernel = kernels::kernel::gauss;
const auto measure_op = measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u, v, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M), imsizey, imsizex,
oversample_ratio, kernel, 10, 10);
const Vector<t_complex> y_test = *measure_op * input;
CAPTURE(y_test.array() / y.array());
const t_real max_test = y_test.cwiseAbs().mean();
CAPTURE(y_test / max_test);
CAPTURE(y);
CHECK((y_test / max_test).isApprox((y), 1e-4));
}
}
TEST_CASE("flux units") {
const t_real oversample_ratio = 2;
Vector<t_real> u = Vector<t_real>::Random(10);
Vector<t_real> v = Vector<t_real>::Random(10);
const t_uint M = u.size();
const Vector<t_complex> y = Vector<t_complex>::Ones(u.size());
SECTION("kb") {
const kernels::kernel kernel = kernels::kernel::kb;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
SECTION("pswf") {
const kernels::kernel kernel = kernels::kernel::pswf;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
if (J != 6)
CHECK_THROWS(measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J));
else {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M),
Vector<t_complex>::Ones(M), imsize, imsize, oversample_ratio, kernel, J, J);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
}
SECTION("gauss") {
const kernels::kernel kernel = kernels::kernel::gauss;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-2));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.01));
}
}
}
SECTION("box") {
const kernels::kernel kernel = kernels::kernel::box;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
SECTION("wproj kb") {
const kernels::kernel kernel = kernels::kernel::kb;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J, false, 1e-6, 1e-6);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
SECTION("wproj pswf") {
const kernels::kernel kernel = kernels::kernel::pswf;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
if (J != 6)
CHECK_THROWS(measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J, false, 1e-6, 1e-6));
else {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M),
Vector<t_complex>::Ones(M), imsize, imsize, oversample_ratio, kernel, J, J, false,
1e-6, 1e-6);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
}
SECTION("wproj gauss") {
const kernels::kernel kernel = kernels::kernel::gauss;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J, false, 1e-6, 1e-6);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-2));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.01));
}
}
}
SECTION("wproj box") {
const kernels::kernel kernel = kernels::kernel::box;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J, false, 1e-6, 1e-6);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK(y_test.isApprox(y, 1e-2));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
}
TEST_CASE("normed operator") {
const t_real oversample_ratio = 2;
const t_int power_iters = 1000;
const t_real power_tol = 1e-4;
Vector<t_real> u = Vector<t_real>::Random(10);
Vector<t_real> v = Vector<t_real>::Random(10);
const t_uint M = u.size();
const Vector<t_complex> y = Vector<t_complex>::Ones(u.size());
SECTION("kb") {
const kernels::kernel kernel = kernels::kernel::kb;
for (auto& J : {4, 5, 6, 7, 8}) {
for (auto& imsize : {128, 256, 512}) {
const Vector<t_complex> init = Vector<t_complex>::Ones(imsize * imsize);
auto power_method_result = sopt::algorithm::normalise_operator<Vector<t_complex>>(
measurementoperator::init_degrid_operator_2d<Vector<t_complex>>(
u * imsize / 2, v * imsize / 2, Vector<t_real>::Zero(M), Vector<t_complex>::Ones(M),
imsize, imsize, oversample_ratio, kernel, J, J),
power_iters, power_tol, init);
const t_real norm = std::get<0>(power_method_result);
const std::shared_ptr<sopt::LinearTransform<Vector<t_complex>>> measure_op =
std::get<2>(power_method_result);
Vector<t_complex> input = Vector<t_complex>::Zero(imsize * imsize);
input(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize)) = 1.;
const Vector<t_complex> y_test = (*measure_op * input).eval();
CAPTURE(y_test.cwiseAbs().mean());
CAPTURE(y);
CAPTURE(y_test);
CAPTURE(J);
CAPTURE(imsize);
CHECK((y_test * norm).isApprox(y, 1e-3));
const Vector<t_complex> psf = (measure_op->adjoint() * y) * 1. / M * norm;
CHECK(std::real(psf(static_cast<t_int>(imsize * 0.5 + imsize * 0.5 * imsize))) ==
Approx(1.).margin(0.001));
}
}
}
}
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