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#include <numeric>
#include <random>
#include <utility>
#include <catch2/catch_all.hpp>
#include "purify/types.h"
#include "purify/directories.h"
#include "purify/distribute.h"
#include "purify/logging.h"
#include "purify/mpi_utilities.h"
#include "purify/pfitsio.h"
#include "purify/utilities.h"
#include <sopt/logging.h>
#include <sopt/mpi/communicator.h>
#include <sopt/mpi/utilities.h>
#include <sopt/power_method.h>
#include <sopt/wavelets.h>
#ifdef PURIFY_H5
#include "purify/h5reader.h"
#endif
#include "purify/algorithm_factory.h"
#include "purify/measurement_operator_factory.h"
#include "purify/wavelet_operator_factory.h"
using namespace purify;
utilities::vis_params dirty_visibilities(const std::vector<std::string> &names) {
return utilities::read_visibility(names, false);
}
utilities::vis_params dirty_visibilities(const std::vector<std::string> &names,
sopt::mpi::Communicator const &comm) {
if (comm.size() == 1) return dirty_visibilities(names);
if (comm.is_root()) {
auto result = dirty_visibilities(names);
auto const order = distribute::distribute_measurements(result, comm, distribute::plan::none);
return utilities::regroup_and_scatter(result, order, comm);
}
auto result = utilities::scatter_visibilities(comm);
return result;
}
TEST_CASE("Serial vs. Serial with MPI PADMM") {
auto const world = sopt::mpi::Communicator::World();
const std::string &test_dir = "expected/padmm/";
const std::string &input_data_path = data_filename(test_dir + "input_data.vis");
auto uv_data = dirty_visibilities({input_data_path}, world);
uv_data.units = utilities::vis_units::radians;
if (world.is_root()) {
CAPTURE(uv_data.vis.head(5));
}
REQUIRE(world.all_sum_all(uv_data.size()) == 13107);
t_uint const imsizey = 128;
t_uint const imsizex = 128;
auto measurements_transform = factory::measurement_operator_factory<Vector<t_complex>>(
factory::distributed_measurement_operator::mpi_distribute_image, uv_data, imsizey, imsizex, 1,
1, 2, kernels::kernel_from_string.at("kb"), 4, 4);
Vector<t_complex> const init = Vector<t_complex>::Ones(imsizex * imsizey).eval();
auto const power_method_stuff =
sopt::algorithm::power_method<Vector<t_complex>>(*measurements_transform, 1000, 1e-5, init);
const t_real op_norm = std::get<0>(power_method_stuff);
measurements_transform->set_norm(op_norm);
std::vector<std::tuple<std::string, t_uint>> const sara{
std::make_tuple("Dirac", 3u), std::make_tuple("DB1", 3u), std::make_tuple("DB2", 3u),
std::make_tuple("DB3", 3u), std::make_tuple("DB4", 3u), std::make_tuple("DB5", 3u),
std::make_tuple("DB6", 3u), std::make_tuple("DB7", 3u), std::make_tuple("DB8", 3u)};
auto const wavelets = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::mpi_sara, sara, imsizey, imsizex);
t_real const sigma =
world.broadcast(0.016820222945913496) * std::sqrt(2); // see test_parameters file
SECTION("global") {
auto const padmm = factory::padmm_factory<sopt::algorithm::ImagingProximalADMM<t_complex>>(
factory::algo_distribution::mpi_serial, measurements_transform, wavelets, uv_data, sigma,
imsizey, imsizex, sara.size(), 300, true, true, false, 1e-2, 1e-3, 50, 1);
auto const diagnostic = (*padmm)();
CHECK(diagnostic.niters == 10);
const std::string &expected_solution_path = data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = data_filename(test_dir + "residual.fits");
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
CAPTURE(Vector<t_complex>::Map(solution.data(), solution.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(image.data(), image.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map((image / solution).eval().data(), image.size()).real().head(10));
CHECK(image.isApprox(solution, 1e-4));
const Vector<t_complex> residuals = measurements_transform->adjoint() *
(uv_data.vis - ((*measurements_transform) * diagnostic.x));
const Image<t_complex> residual_image =
Image<t_complex>::Map(residuals.data(), imsizey, imsizex);
CAPTURE(Vector<t_complex>::Map(residual.data(), residual.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(residuals.data(), residuals.size()).real().head(10));
CHECK(residual_image.real().isApprox(residual.real(), 1e-4));
}
SECTION("local") {
auto const padmm = factory::padmm_factory<sopt::algorithm::ImagingProximalADMM<t_complex>>(
factory::algo_distribution::mpi_distributed, measurements_transform, wavelets, uv_data,
sigma, imsizey, imsizex, sara.size(), 500, true, true, false, 1e-2, 1e-3, 50, 1);
auto const diagnostic = (*padmm)();
t_real const epsilon = utilities::calculate_l2_radius(world.all_sum_all(uv_data.vis.size()),
world.broadcast(sigma));
CHECK(sopt::mpi::l2_norm(diagnostic.residual, padmm->l2ball_proximal_weights(), world) <
epsilon);
// the algorithm depends on nodes, so other than a basic bounds check,
// it is hard to know exact precision (might depend on probability theory...)
if (world.size() > 2 or world.size() == 0) return;
// testing the case where there are two nodes exactly.
const std::string &expected_solution_path = (world.size() == 2)
? data_filename(test_dir + "mpi_solution.fits")
: data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = (world.size() == 2)
? data_filename(test_dir + "mpi_residual.fits")
: data_filename(test_dir + "residual.fits");
if (world.size() == 1) CHECK(diagnostic.niters == 10);
if (world.size() == 2) CHECK(diagnostic.niters == 11);
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(image.real(), expected_solution_path);
const auto solution = pfitsio::read2d(expected_solution_path);
CAPTURE(Vector<t_complex>::Map(solution.data(), solution.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(image.data(), image.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map((image / solution).eval().data(), image.size()).real().head(10));
CHECK(image.isApprox(solution, 1e-4));
const Vector<t_complex> residuals = measurements_transform->adjoint() *
(uv_data.vis - ((*measurements_transform) * diagnostic.x));
const Image<t_complex> residual_image =
Image<t_complex>::Map(residuals.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(residual_image.real(), expected_residual_path);
const auto residual = pfitsio::read2d(expected_residual_path);
CAPTURE(Vector<t_complex>::Map(residual.data(), residual.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(residuals.data(), residuals.size()).real().head(10));
CHECK(residual_image.real().isApprox(residual.real(), 1e-4));
}
}
TEST_CASE("Serial vs. Serial with MPI Primal Dual", "[!shouldfail]") {
auto const world = sopt::mpi::Communicator::World();
const std::string &test_dir = "expected/primal_dual/";
const std::string &input_data_path = data_filename(test_dir + "input_data.vis");
auto uv_data = dirty_visibilities({input_data_path}, world);
uv_data.units = utilities::vis_units::radians;
if (world.is_root()) {
CAPTURE(uv_data.vis.head(5));
}
REQUIRE(world.all_sum_all(uv_data.size()) == 13107);
t_uint const imsizey = 128;
t_uint const imsizex = 128;
auto const measurements_transform = factory::measurement_operator_factory<Vector<t_complex>>(
factory::distributed_measurement_operator::mpi_distribute_image, uv_data, imsizey, imsizex, 1,
1, 2, kernels::kernel_from_string.at("kb"), 4, 4);
auto const power_method_stuff = sopt::algorithm::power_method<Vector<t_complex>>(
*measurements_transform, 1000, 1e-5,
world.broadcast(Vector<t_complex>::Ones(imsizex * imsizey).eval()));
const t_real op_norm = std::get<0>(power_method_stuff);
measurements_transform->set_norm(op_norm);
std::vector<std::tuple<std::string, t_uint>> const sara{
std::make_tuple("Dirac", 3u), std::make_tuple("DB1", 3u), std::make_tuple("DB2", 3u),
std::make_tuple("DB3", 3u), std::make_tuple("DB4", 3u), std::make_tuple("DB5", 3u),
std::make_tuple("DB6", 3u), std::make_tuple("DB7", 3u), std::make_tuple("DB8", 3u)};
auto const wavelets = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::mpi_sara, sara, imsizey, imsizex);
t_real const sigma =
world.broadcast(0.016820222945913496) * std::sqrt(2); // see test_parameters file
SECTION("global") {
auto const primaldual =
factory::primaldual_factory<sopt::algorithm::ImagingPrimalDual<t_complex>>(
factory::algo_distribution::mpi_serial, measurements_transform, wavelets, uv_data,
sigma, imsizey, imsizex, sara.size(), 500, true, true, 1e-2, 1);
auto const diagnostic = (*primaldual)();
CHECK(diagnostic.niters == 16);
const std::string &expected_solution_path = data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = data_filename(test_dir + "residual.fits");
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
CAPTURE(Vector<t_complex>::Map(solution.data(), solution.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(image.data(), image.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map((image / solution).eval().data(), image.size()).real().head(10));
CHECK(image.isApprox(solution, 1e-4));
const Vector<t_complex> residuals = measurements_transform->adjoint() *
(uv_data.vis - ((*measurements_transform) * diagnostic.x));
const Image<t_complex> residual_image =
Image<t_complex>::Map(residuals.data(), imsizey, imsizex);
CAPTURE(Vector<t_complex>::Map(residual.data(), residual.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(residuals.data(), residuals.size()).real().head(10));
CHECK(residual_image.real().isApprox(residual.real(), 1e-4));
}
SECTION("local") {
auto const primaldual =
factory::primaldual_factory<sopt::algorithm::ImagingPrimalDual<t_complex>>(
factory::algo_distribution::mpi_distributed, measurements_transform, wavelets, uv_data,
sigma, imsizey, imsizex, sara.size(), 500, true, true, 1e-2, 1);
auto const diagnostic = (*primaldual)();
t_real const epsilon = utilities::calculate_l2_radius(world.all_sum_all(uv_data.vis.size()),
world.broadcast(sigma));
CHECK(sopt::mpi::l2_norm(diagnostic.residual, primaldual->l2ball_proximal_weights(), world) <
epsilon);
// the algorithm depends on nodes, so other than a basic bounds check,
// it is hard to know exact precision (might depend on probability theory...)
if (world.size() > 2 or world.size() == 0) return;
// testing the case where there are two nodes exactly.
const std::string &expected_solution_path = (world.size() == 2)
? data_filename(test_dir + "mpi_solution.fits")
: data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = (world.size() == 2)
? data_filename(test_dir + "mpi_residual.fits")
: data_filename(test_dir + "residual.fits");
if (world.size() == 1) CHECK(diagnostic.niters == 16);
if (world.size() == 2) CHECK(diagnostic.niters == 18);
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(image.real(), expected_solution_path);
CAPTURE(Vector<t_complex>::Map(solution.data(), solution.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(image.data(), image.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map((image / solution).eval().data(), image.size()).real().head(10));
CHECK(image.isApprox(solution, 1e-4));
const Vector<t_complex> residuals = measurements_transform->adjoint() *
(uv_data.vis - ((*measurements_transform) * diagnostic.x));
const Image<t_complex> residual_image =
Image<t_complex>::Map(residuals.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(residual_image.real(), expected_residual_path);
CAPTURE(Vector<t_complex>::Map(residual.data(), residual.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(residuals.data(), residuals.size()).real().head(10));
CHECK(residual_image.real().isApprox(residual.real(), 1e-4));
}
SECTION("random update") {
auto const measurements_transform_serial =
factory::measurement_operator_factory<Vector<t_complex>>(
factory::distributed_measurement_operator::serial, uv_data, imsizey, imsizex, 1, 1, 2,
kernels::kernel_from_string.at("kb"), 4, 4);
auto const power_method_stuff = sopt::algorithm::all_sum_all_power_method<Vector<t_complex>>(
world, *measurements_transform, 1000, 1e-5,
world.broadcast(Vector<t_complex>::Ones(imsizex * imsizey).eval()));
const t_real op_norm = std::get<0>(power_method_stuff);
measurements_transform->set_norm(op_norm);
auto sara_dist = sopt::wavelets::distribute_sara(sara, world);
auto const wavelets_serial = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::serial, sara_dist, imsizey, imsizex);
auto const primaldual =
factory::primaldual_factory<sopt::algorithm::ImagingPrimalDual<t_complex>>(
factory::algo_distribution::mpi_random_updates, measurements_transform_serial,
wavelets_serial, uv_data, sigma, imsizey, imsizex, sara_dist.size(), 500, true, true,
1e-2, 1);
auto const diagnostic = (*primaldual)();
t_real const epsilon = utilities::calculate_l2_radius(world.all_sum_all(uv_data.vis.size()),
world.broadcast(sigma));
CHECK(sopt::mpi::l2_norm(diagnostic.residual, primaldual->l2ball_proximal_weights(), world) <
epsilon);
if (world.size() > 1) return;
// the algorithm depends on nodes, so other than a basic bounds check,
// it is hard to know exact precision (might depend on probability theory...)
if (world.size() == 0)
return;
else if (world.size() == 2 or world.size() == 1) {
// testing the case where there are two nodes exactly.
const std::string &expected_solution_path =
(world.size() == 2) ? data_filename(test_dir + "mpi_random_solution.fits")
: data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path =
(world.size() == 2) ? data_filename(test_dir + "mpi_random_residual.fits")
: data_filename(test_dir + "residual.fits");
if (world.size() == 1) CHECK(diagnostic.niters == 16);
if (world.size() == 2) CHECK(diagnostic.niters < 100);
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(image.real(), expected_solution_path);
CAPTURE(Vector<t_complex>::Map(solution.data(), solution.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(image.data(), image.size()).real().head(10));
CAPTURE(
Vector<t_complex>::Map((image / solution).eval().data(), image.size()).real().head(10));
CHECK(image.isApprox(solution, 1e-3));
const Vector<t_complex> residuals =
measurements_transform->adjoint() *
(uv_data.vis - ((*measurements_transform) * diagnostic.x));
const Image<t_complex> residual_image =
Image<t_complex>::Map(residuals.data(), imsizey, imsizex);
// if (world.is_root()) pfitsio::write2d(residual_image.real(), expected_residual_path);
CAPTURE(Vector<t_complex>::Map(residual.data(), residual.size()).real().head(10));
CAPTURE(Vector<t_complex>::Map(residuals.data(), residuals.size()).real().head(10));
CHECK(residual_image.real().isApprox(residual.real(), 1e-3));
} else
return;
}
}
TEST_CASE("Serial vs. Serial with MPI Forward Backward") {
auto const world = sopt::mpi::Communicator::World();
const std::string &test_dir = "expected/fb/";
const std::string &input_data_path = data_filename(test_dir + "input_data.vis");
const std::string &result_path = data_filename(test_dir + "mpi_fb_result.fits");
auto uv_data = dirty_visibilities({input_data_path}, world);
uv_data.units = utilities::vis_units::radians;
if (world.is_root()) {
CAPTURE(uv_data.vis.head(5));
}
REQUIRE(world.all_sum_all(uv_data.size()) == 13107);
t_uint const imsizey = 128;
t_uint const imsizex = 128;
auto measurements_transform = factory::measurement_operator_factory<Vector<t_complex>>(
factory::distributed_measurement_operator::mpi_distribute_image, uv_data, imsizey, imsizex, 1,
1, 2, kernels::kernel_from_string.at("kb"), 4, 4);
auto const power_method_stuff = sopt::algorithm::power_method<Vector<t_complex>>(
*measurements_transform, 1000, 1e-5,
world.broadcast(Vector<t_complex>::Ones(imsizex * imsizey).eval()));
const t_real op_norm = std::get<0>(power_method_stuff);
measurements_transform->set_norm(op_norm);
std::vector<std::tuple<std::string, t_uint>> const sara{
std::make_tuple("Dirac", 3u), std::make_tuple("DB1", 3u), std::make_tuple("DB2", 3u),
std::make_tuple("DB3", 3u), std::make_tuple("DB4", 3u), std::make_tuple("DB5", 3u),
std::make_tuple("DB6", 3u), std::make_tuple("DB7", 3u), std::make_tuple("DB8", 3u)};
auto const wavelets = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::mpi_sara, sara, imsizey, imsizex);
t_real const sigma =
world.broadcast(0.016820222945913496) * std::sqrt(2); // see test_parameters file
t_real const beta = sigma * sigma;
t_real const gamma = 0.0001;
auto const fb = factory::fb_factory<sopt::algorithm::ImagingForwardBackward<t_complex>>(
factory::algo_distribution::mpi_serial, measurements_transform, wavelets, uv_data, sigma,
beta, gamma, imsizey, imsizex, sara.size(), 1000, true, true, false, 1e-2, 1e-3, 50);
auto const diagnostic = (*fb)();
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
if (world.is_root()) {
pfitsio::write2d(image.real(), result_path);
// pfitsio::write2d(residual_image.real(), expected_residual_path);
}
const std::string &expected_solution_path = data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = data_filename(test_dir + "residual.fits");
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
double average_intensity = diagnostic.x.real().sum() / diagnostic.x.size();
SOPT_HIGH_LOG("Average intensity = {}", average_intensity);
double mse = (Vector<t_complex>::Map(solution.data(), solution.size()) - diagnostic.x)
.real()
.squaredNorm() /
solution.size();
SOPT_HIGH_LOG("MSE = {}", mse);
CHECK(mse <= average_intensity * 1e-3);
}
#ifdef PURIFY_H5
TEST_CASE("MPI_fb_factory_hdf5") {
auto const world = sopt::mpi::Communicator::World();
const size_t N = 13107;
const std::string &test_dir = "expected/fb/";
const std::string &input_data_path = data_filename(test_dir + "input_data.h5");
const std::string &result_path = data_filename(test_dir + "mpi_fb_result_hdf5.fits");
H5::H5Handler h5file(input_data_path, world);
auto uv_data = H5::stochread_visibility(h5file, 6000, false);
uv_data.units = utilities::vis_units::radians;
if (world.is_root()) {
CAPTURE(uv_data.vis.head(5));
}
// REQUIRE(world.all_sum_all(uv_data.size()) == 13107);
t_uint const imsizey = 128;
t_uint const imsizex = 128;
auto measurements_transform = factory::measurement_operator_factory<Vector<t_complex>>(
factory::distributed_measurement_operator::mpi_distribute_image, uv_data, imsizey, imsizex, 1,
1, 2, kernels::kernel_from_string.at("kb"), 4, 4);
auto const power_method_stuff = sopt::algorithm::power_method<Vector<t_complex>>(
*measurements_transform, 1000, 1e-5,
world.broadcast(Vector<t_complex>::Ones(imsizex * imsizey).eval()));
const t_real op_norm = std::get<0>(power_method_stuff);
measurements_transform->set_norm(op_norm);
std::vector<std::tuple<std::string, t_uint>> const sara{
std::make_tuple("Dirac", 3u), std::make_tuple("DB1", 3u), std::make_tuple("DB2", 3u),
std::make_tuple("DB3", 3u), std::make_tuple("DB4", 3u), std::make_tuple("DB5", 3u),
std::make_tuple("DB6", 3u), std::make_tuple("DB7", 3u), std::make_tuple("DB8", 3u)};
auto const wavelets = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::mpi_sara, sara, imsizey, imsizex);
t_real const sigma =
world.broadcast(0.016820222945913496) * std::sqrt(2); // see test_parameters file
t_real const beta = sigma * sigma;
t_real const gamma = 0.0001;
auto const fb = factory::fb_factory<sopt::algorithm::ImagingForwardBackward<t_complex>>(
factory::algo_distribution::mpi_serial, measurements_transform, wavelets, uv_data, sigma,
beta, gamma, imsizey, imsizex, sara.size(), 1000, true, true, false, 1e-2, 1e-3, 50);
auto const diagnostic = (*fb)();
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
// if (world.is_root())
//{
// pfitsio::write2d(image.real(), result_path);
//}
const std::string &expected_solution_path = data_filename(test_dir + "solution.fits");
const std::string &expected_residual_path = data_filename(test_dir + "residual.fits");
const auto solution = pfitsio::read2d(expected_solution_path);
const auto residual = pfitsio::read2d(expected_residual_path);
double average_intensity = diagnostic.x.real().sum() / diagnostic.x.size();
SOPT_HIGH_LOG("Average intensity = {}", average_intensity);
double mse = (Vector<t_complex>::Map(solution.data(), solution.size()) - diagnostic.x)
.real()
.squaredNorm() /
solution.size();
SOPT_HIGH_LOG("MSE = {}", mse);
CHECK(mse <= average_intensity * 1e-3);
}
TEST_CASE("fb_factory_stochastic") {
const std::string &test_dir = "expected/fb/";
const std::string &input_data_path = data_filename(test_dir + "input_data.h5");
const std::string &expected_solution_path = data_filename(test_dir + "solution.fits");
const std::string &result_path = data_filename(test_dir + "fb_stochastic_result_mpi.fits");
// HDF5
auto const comm = sopt::mpi::Communicator::World();
const size_t N = 2000;
H5::H5Handler h5file(input_data_path, comm); // length 13107
using t_complexVec = Vector<t_complex>;
// This functor would be defined in Purify
std::function<std::shared_ptr<sopt::IterationState<Vector<t_complex>>>()> random_updater =
[&h5file, &N, &comm]() {
utilities::vis_params uv_data =
H5::stochread_visibility(h5file, N, false); // no w-term in this data-set
uv_data.units = utilities::vis_units::radians;
auto phi = factory::measurement_operator_factory<t_complexVec>(
factory::distributed_measurement_operator::mpi_distribute_image, uv_data, 128, 128, 1,
1, 2, kernels::kernel_from_string.at("kb"), 4, 4);
auto const power_method_stuff = sopt::algorithm::power_method<Vector<t_complex>>(
*phi, 1000, 1e-5, comm.broadcast(Vector<t_complex>::Ones(128 * 128).eval()));
const t_real op_norm = std::get<0>(power_method_stuff);
phi->set_norm(op_norm);
return std::make_shared<sopt::IterationState<Vector<t_complex>>>(uv_data.vis, phi);
};
const auto solution = pfitsio::read2d(expected_solution_path);
t_uint const imsizey = 128;
t_uint const imsizex = 128;
// wavelets
std::vector<std::tuple<std::string, t_uint>> const sara{
std::make_tuple("Dirac", 3u), std::make_tuple("DB1", 3u), std::make_tuple("DB2", 3u),
std::make_tuple("DB3", 3u), std::make_tuple("DB4", 3u), std::make_tuple("DB5", 3u),
std::make_tuple("DB6", 3u), std::make_tuple("DB7", 3u), std::make_tuple("DB8", 3u)};
auto const wavelets = factory::wavelet_operator_factory<Vector<t_complex>>(
factory::distributed_wavelet_operator::serial, sara, imsizey, imsizex);
// algorithm
t_real const sigma = 0.016820222945913496 * std::sqrt(2); // see test_parameters file
t_real const beta = sigma * sigma;
t_real const gamma = 0.0001;
sopt::algorithm::ImagingForwardBackward<t_complex> fb(random_updater);
fb.itermax(1000)
.step_size(beta * sqrt(2))
.sigma(sigma * sqrt(2))
.regulariser_strength(gamma)
.relative_variation(1e-3)
.residual_tolerance(0)
.tight_frame(true)
.obj_comm(comm);
auto gp = std::make_shared<sopt::algorithm::L1GProximal<t_complex>>(false);
gp->l1_proximal_tolerance(1e-4)
.l1_proximal_nu(1)
.l1_proximal_itermax(50)
.l1_proximal_positivity_constraint(true)
.l1_proximal_real_constraint(true)
.Psi(*wavelets);
fb.g_function(gp);
auto const diagnostic = fb();
const Image<t_complex> image = Image<t_complex>::Map(diagnostic.x.data(), imsizey, imsizex);
// if (comm.is_root())
//{
// //pfitsio::write2d(image.real(), result_path);
//}
auto soln_flat = Vector<t_complex>::Map(solution.data(), solution.size());
double average_intensity = soln_flat.real().sum() / soln_flat.size();
SOPT_HIGH_LOG("Average intensity = {}", average_intensity);
double mse = (soln_flat - diagnostic.x).real().squaredNorm() / solution.size();
SOPT_HIGH_LOG("MSE = {}", mse);
CHECK(mse <= average_intensity * 1e-3);
}
#endif
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