237 lines
11 KiB
C++
237 lines
11 KiB
C++
#include <chrono>
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#include <exception>
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#include <iostream>
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#include <numbers>
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#include <stdexcept>
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#include <utility>
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#include <mfem.hpp>
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import mean_field;
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using namespace mean_field;
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namespace {
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[[nodiscard]] const char *trialDispositionName(
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const solver::nonlinear::LineSearchTrialDisposition disposition
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) noexcept {
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using Disposition = solver::nonlinear::LineSearchTrialDisposition;
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switch (disposition) {
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case Disposition::accepted:
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return "accepted";
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case Disposition::inadmissible_state:
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return "inadmissible state";
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case Disposition::non_finite_state:
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return "non-finite state";
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case Disposition::non_finite_residual:
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return "non-finite residual";
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case Disposition::insufficient_decrease:
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default:
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return "insufficient decrease";
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}
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}
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[[nodiscard]] const char *linearStatusName(const solver::LinearSolveStatus status) noexcept {
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switch (status) {
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case solver::LinearSolveStatus::converged:
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return "converged";
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case solver::LinearSolveStatus::maximum_iterations:
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return "maximum iterations";
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case solver::LinearSolveStatus::breakdown:
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return "breakdown";
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case solver::LinearSolveStatus::non_finite:
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return "non-finite";
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case solver::LinearSolveStatus::backend_failure:
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default:
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return "backend failure";
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}
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}
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} // namespace
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int main(
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int argc,
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char **argv
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) {
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mfem::Mpi::Init(argc, argv);
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int exitCode = 0;
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try {
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mfem::Device device("cpu");
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int rank = 0;
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MPI_Comm_rank(MPI_COMM_WORLD, &rank);
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utils::Args arguments;
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arguments.mesh_file = "sandbox.smesh";
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arguments.p.rtol = 1.0e-12;
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arguments.p.atol = 1.0e-12;
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const auto discretizationStart = std::chrono::steady_clock::now();
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auto finiteElements = fem::setup_fem(arguments.mesh_file, arguments, 0);
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if (!finiteElements.okay()) {
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throw std::runtime_error("The sandbox could not construct its finite-element discretization.");
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}
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if (rank == 0) {
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std::cout << "Finite-element setup: "
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<< std::chrono::duration<double>(std::chrono::steady_clock::now() - discretizationStart).count()
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<< " s\n";
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}
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constexpr double radius = utils::RADIUS;
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constexpr double mass = utils::MASS;
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constexpr double angularMomentum = 0.05;
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constexpr double gravitationalConstant = utils::G;
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const double polytropicConstant =
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2.0 * gravitationalConstant * radius * radius / std::numbers::pi_v<double>;
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const double centralDensity =
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std::numbers::pi_v<double> * mass / (4.0 * radius * radius * radius);
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auto stellarModel = model::StellarModel(
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eos::Polytrope({.n = 1.0, .K = polytropicConstant}),
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surface::Isobaric({.Psurf = dimensions::PressureValue{0.0}}),
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integral::FixedTotalMass({.Mtotal = dimensions::MassValue{mass}}),
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integral::FixedAngularMomentum({
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.Jtotal = dimensions::AngularMomentumValue{angularMomentum},
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.axis = {0.0, 0.0, 1.0},
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.center = {0.0, 0.0, 0.0}
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}),
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constraint::FixedCentralDensity({.RhoC = dimensions::DensityValue{centralDensity}})
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);
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auto discretization = equilibrium::makeStellarDiscretization(
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std::move(finiteElements),
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normalization::PhysicalRieszDiagonal{
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dimensions::LengthValue{radius},
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gravitationalConstant
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}
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);
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auto preconditioner = preconditioning::makePreconditioner();
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auto linearSolver = solver::linear::FGMRES({.restartLength = 40, .printLevel = -1});
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const auto contextStart = std::chrono::steady_clock::now();
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auto context = solver::makeContext(
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std::move(stellarModel), std::move(discretization), std::move(preconditioner), std::move(linearSolver)
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);
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if (rank == 0) {
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std::cout << "Solver context setup: "
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<< std::chrono::duration<double>(std::chrono::steady_clock::now() - contextStart).count()
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<< " s\n";
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}
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auto observer = solver::nonlinear::makeObserver(
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[](const solver::nonlinear::BeforeIteration &event) {
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int rank = 0;
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MPI_Comm_rank(event.communicator, &rank);
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if (rank == 0) {
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std::cout << "Newton " << event.iteration << ": |F| = " << event.residualNorm << '\n';
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}
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},
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[](const solver::nonlinear::AfterLineSearchTrial &event) {
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int rank = 0;
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MPI_Comm_rank(event.communicator, &rank);
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if (rank != 0) {
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return;
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}
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std::cout << " trial " << event.trial + 1 << ": step = " << event.stepLength
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<< ", outcome = " << trialDispositionName(event.disposition);
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if (!event.rejectionSource.empty()) {
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std::cout << ", source = " << event.rejectionSource;
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}
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if (event.metric.has_value()) {
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std::cout << ", |F| = " << event.metric->residualNorm;
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}
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if (event.minimumJacobianDeterminant.has_value()) {
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std::cout << ", min(det J_map) = " << *event.minimumJacobianDeterminant;
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}
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std::cout << ", prepare = " << event.preparationSeconds << " s"
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<< ", metric = " << event.metricSeconds << " s\n";
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},
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[](const solver::nonlinear::AfterIteration &event) {
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int rank = 0;
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MPI_Comm_rank(event.communicator, &rank);
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if (rank == 0) {
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std::cout << " step = " << event.acceptedStepLength
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<< ", trials = " << event.lineSearchTrials
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<< ", |F| = " << event.residualNorm
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<< ", iteration = " << event.iterationSeconds << " s"
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<< ", line search = " << event.lineSearchSeconds << " s"
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<< ", trial preparation = " << event.trialPreparationSeconds << " s"
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<< ", accepted refresh = " << event.preconditionerRefreshSeconds << " s\n";
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if (event.rollbackSeconds > 0.0) {
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std::cout << " rollback = " << event.rollbackSeconds << " s\n";
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}
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if (event.linearSolve.has_value()) {
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const auto &linear = *event.linearSolve;
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std::cout << " FGMRES: " << linearStatusName(linear.status)
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<< ", iterations = " << linear.iterations
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<< ", restarts = " << linear.restarts
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<< ", initial/|b| = "
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<< (linear.rightHandSideNorm > 0.0
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? linear.initialResidualNorm / linear.rightHandSideNorm
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: 0.0)
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<< ", true/|b| = " << linear.relativeTrueResidualNorm
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<< ", J calls = " << linear.operatorApplications
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<< ", P^-1 calls = " << linear.inversePreconditionerApplications
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<< ", solve = " << linear.solveSeconds << " s"
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<< ", J time = " << linear.operatorSeconds << " s"
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<< ", P^-1 time = " << linear.inversePreconditionerSeconds << " s\n";
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}
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}
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}
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);
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auto nonlinearSolver = solver::nonlinear::Newton(solver::nonlinear::NewtonOptions{
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.relativeTolerance = 1.0e-8,
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.absoluteTolerance = 0.0,
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.maximumIterations = 30,
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.linearSolve = {
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.relativeTolerance = 3.0e-2,
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.absoluteTolerance = 0.0,
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.maximumIterations = 200
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},
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.backtracking = {}
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});
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auto equilibriumSolver = solver::make(context, nonlinearSolver, observer);
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const auto evaluateStart = std::chrono::steady_clock::now();
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auto report = equilibriumSolver.evaluate();
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if (rank == 0) {
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std::cout << "Evaluation: "
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<< std::chrono::duration<double>(std::chrono::steady_clock::now() - evaluateStart).count()
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<< " s\n";
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const auto &diagnostics = report.diagnostics();
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std::cout << "Totals: linear = " << diagnostics.totalLinearSolveSeconds
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<< " s, line search = " << diagnostics.totalLineSearchSeconds
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<< " s, trial preparation = " << diagnostics.totalTrialPreparationSeconds
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<< " s, accepted refresh = " << diagnostics.totalPreconditionerRefreshSeconds
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<< " s, rollback = " << diagnostics.totalRollbackSeconds
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<< " s, inadmissible trials = " << diagnostics.inadmissibleLineSearchTrials
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<< ", non-finite trials = " << diagnostics.nonFiniteLineSearchTrials
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<< ", insufficient-decrease trials = " << diagnostics.insufficientDecreaseTrials << '\n';
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}
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if (report.converged()) {
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auto structureView = report.structureView();
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std::cout << "Converged with " << structureView.state().size() << " state values.\n";
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// These are the eventual persistence APIs. Both deliberately
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// throw "not implemented" until the checkpoint schema is chosen:
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// auto structure = structureView.capture();
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// equilibrium::serialize(structureView, "structure.checkpoint");
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} else {
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auto checkpointView = report.lastAcceptedCheckpointView();
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std::cerr << "Solve stopped after " << report.completedNonlinearIterations()
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<< " accepted steps: " << report.failure().message << '\n'
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<< "The last checkpoint has " << checkpointView.state().size() << " state values.\n";
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// auto checkpoint = checkpointView.capture();
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// equilibrium::serialize(checkpointView, "failed-step.checkpoint");
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exitCode = 1;
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}
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} catch (const std::exception &error) {
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std::cerr << "sandbox failure: " << error.what() << '\n';
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exitCode = 2;
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}
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mfem::Mpi::Finalize();
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return exitCode;
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}
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