test(tests): added test suite
The test suite is extensive. Note that LLMs were used to aid in the development of the test suite. All LLM generated code was manually reviewed.
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tests/solver/continuation_family.cpp
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223
tests/solver/continuation_family.cpp
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#include <array>
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#include <cmath>
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#include <limits>
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#include <memory>
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#include <catch2/catch_approx.hpp>
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#include <catch2/catch_test_macros.hpp>
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#include "serif/solver/continuation/polytropic.hpp"
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#include "serif/solver/continuation/identified_equations.hpp"
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namespace {
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namespace family = serif::solver::continuation;
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namespace model = serif::model;
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namespace dimensions = serif::dimensions;
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using Polytrope = serif::eos::models::Polytrope;
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struct Definition {
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double pressure{0.01};
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/** @brief State explicitly which captured physical input belongs to family identity. */
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[[nodiscard]] std::array<double, 1> continuation_identity() const { return {pressure}; }
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};
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/** @brief Retain all physical prescriptions while changing selected independent inputs. */
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[[nodiscard]] auto target_model(double index = 3.0, double constant = 0.36029966935264141, double momentum = 0.035,
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double mass = 1.0, double pressure = 0.01,
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std::array<double, 3> axis = {1.0, 2.0, 3.0}, std::array<double, 3> center = {0.2, -0.3, 0.4}) {
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return model::make_stellar_model(Polytrope{index, constant}, Definition{pressure},
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model::FixedTotalMass{dimensions::MassValue{mass}},
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model::FixedAngularMomentum{{.angular_momentum = dimensions::AngularMomentumValue{momentum}, .axis = axis, .center = center}});
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}
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/** @brief Evaluate pressure independently through the EOS relation. */
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[[nodiscard]] double pressure(const Polytrope& eos, double density) {
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return eos.evaluate(serif::eos::relations::PressureFromDensity{}, dimensions::DensityValue{density}).value();
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}
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/** @brief Compare values using a relative tolerance that does not privilege one system of units. */
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[[nodiscard]] bool close(double actual, double expected) {
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return std::abs(actual - expected) <= 128.0 * std::numeric_limits<double>::epsilon() * std::abs(expected);
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}
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class TestEOS;
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struct TestPressure {
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using Specification = TestEOS;
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using Value = dimensions::PressureValue;
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static constexpr std::string_view name = "test pressure";
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static constexpr std::string_view stable_id = "test.pressure";
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/** @brief Read the extension's selected physical pressure. */
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[[nodiscard]] static Value read(const TestEOS& value);
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/** @brief Test extension domain validation without exceptions during candidate preparation. */
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[[nodiscard]] static bool valid(Value value) { return std::isfinite(value.value()) && value.value() > 0.0; }
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};
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class TestEOS {
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public:
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using ContinuationParameters = family::ParameterList<TestPressure>;
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double pressure{3.0};
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bool ignore_updates{false};
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double clone_offset{};
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/** @brief Include all physical values; fault-injection switches are test behavior. */
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[[nodiscard]] std::array<double, 1> continuation_identity() const { return {pressure}; }
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/** @brief Deliberately allow a faulty extension to exercise installed-value readback. */
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template <typename Values>
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[[nodiscard]] TestEOS with_continuation_parameters(const Values& values) const {
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TestEOS result = *this;
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if (!ignore_updates) {
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result.pressure = values.get(TestPressure{}).value();
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}
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return result;
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}
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/** @brief Deliberately allow a faulty clone to exercise exact target identity. */
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[[nodiscard]] TestEOS clone_for_continuation() const {
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TestEOS result = *this;
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result.pressure += clone_offset;
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return result;
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}
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};
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TestPressure::Value TestPressure::read(const TestEOS& value) { return Value{value.pressure}; }
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struct MoveOnlyDefinition {
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std::unique_ptr<double> pressure;
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/** @brief Owning captures still identify physical family inputs. */
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[[nodiscard]] std::array<double, 1> continuation_identity() const { return {*pressure}; }
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};
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}
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TEST_CASE("Physical continuation preserves pressure pivots and exact target prescriptions", "[unit][solver][continuation][family]") {
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const auto target = target_model();
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const auto bound = family::in(family::PolytropicIndex{}, family::AngularMomentum{})
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.with(family::preserve_pressure_at_reference_density(dimensions::DensityValue{0.2})).bind(target);
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CHECK(bound.target_coordinates() == std::array<double, 2>{3.0, 0.035});
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CHECK(bound.starting_coordinates() == std::array<double, 2>{1.0, 0.0});
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CHECK(bound.parameter_descriptors()[0].stable_id == "polytrope.index");
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CHECK(bound.parameter_descriptors()[1].stable_id == "fixed_angular_momentum.target");
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for (double index : {1.0, 1.5, 2.0, 2.999999, 3.0, 3.5}) {
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const auto stage = bound.model_at({index, 0.02});
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CHECK(close(pressure(stage.equation_of_state(), 0.2), pressure(target.equation_of_state(), 0.2)));
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CHECK(stage.template specification<model::FixedTotalMass>().target().value() == 1.0);
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CHECK(stage.equations().pressure == 0.01);
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const auto& rotation = stage.template specification<model::FixedAngularMomentum>();
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CHECK(rotation.target().value() == 0.02);
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CHECK(rotation.axis() == target.template specification<model::FixedAngularMomentum>().axis());
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CHECK(rotation.center() == target.template specification<model::FixedAngularMomentum>().center());
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REQUIRE(bound.try_validate_member(stage));
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}
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const auto endpoint = bound.model_at(bound.target_coordinates());
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CHECK(endpoint.equation_of_state().polytropic_constant() == target.equation_of_state().polytropic_constant());
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CHECK(bound.model_signature(endpoint) == bound.model_signature(target));
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CHECK(bound.coordinates_of(endpoint) == bound.target_coordinates());
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}
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TEST_CASE("Pressure pivot families are invariant under consistent changes of physical units", "[unit][solver][continuation][family]") {
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constexpr double density = 0.4, density_units = 100.0, pressure_units = 0.01, index = 1.5, constant = 0.73;
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const double converted = pressure_units * constant / std::pow(density_units, 1.0 + 1.0 / index);
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const auto first = family::in(family::PolytropicIndex{}).with(family::preserve_pressure_at_reference_density(dimensions::DensityValue{density})).bind(target_model(index, constant));
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const auto second = family::in(family::PolytropicIndex{}).with(family::preserve_pressure_at_reference_density(dimensions::DensityValue{density * density_units})).bind(target_model(index, converted));
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for (double candidate : {1.0, 2.0, 3.0}) {
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const auto original = first.model_at({candidate}), rescaled = second.model_at({candidate});
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for (double sample : {0.01, 0.4, 3.0}) {
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CHECK(close(pressure(rescaled.equation_of_state(), sample * density_units), pressure_units * pressure(original.equation_of_state(), sample)));
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}
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}
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}
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TEST_CASE("Continuation family membership checks all unchanged prescriptions and captured equations", "[unit][solver][continuation][family]") {
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const auto bound = family::in(family::AngularMomentum{}).bind(target_model());
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CHECK(bound.try_validate_member(target_model(3.0, 0.36029966935264141, 0.01)));
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CHECK_FALSE(bound.try_validate_member(target_model(2.0)));
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CHECK_FALSE(bound.try_validate_member(target_model(3.0, 0.3)));
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CHECK_FALSE(bound.try_validate_member(target_model(3.0, 0.36029966935264141, 0.01, 2.0)));
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CHECK_FALSE(bound.try_validate_member(target_model(3.0, 0.36029966935264141, 0.01, 1.0, 0.02)));
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CHECK_FALSE(bound.try_validate_member(target_model(3.0, 0.36029966935264141, 0.01, 1.0, 0.01, {0.0, 0.0, 1.0})));
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CHECK_FALSE(bound.try_validate_member(target_model(3.0, 0.36029966935264141, 0.01, 1.0, 0.01, {1.0, 2.0, 3.0}, {})));
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const auto index_family = family::in(family::PolytropicIndex{})
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.with(family::preserve_pressure_at_reference_density(dimensions::DensityValue{0.2})).bind(target_model());
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CHECK_FALSE(index_family.try_validate_member(target_model(1.5, 0.36029966935264141, 0.035)));
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}
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TEST_CASE("Continuation laws report invalid numerical candidates and reject inconsistent configuration", "[unit][solver][continuation][family]") {
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const double nan = std::numeric_limits<double>::quiet_NaN();
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for (double invalid : {0.0, -1.0, nan, std::numeric_limits<double>::infinity()}) {
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CHECK_THROWS_AS(family::preserve_pressure_at_reference_density(dimensions::DensityValue{invalid}), std::invalid_argument);
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}
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const auto mismatched = family::in(family::PolytropicIndex{}).with(family::law(family::PolytropicConstant{}, family::depends_on(family::PolytropicIndex{}), [](double) { return 2.0; }));
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CHECK_THROWS_AS(mismatched.bind(target_model()), std::invalid_argument);
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const auto broken = family::in(family::PolytropicIndex{}).with(family::law(family::PolytropicConstant{}, family::depends_on(family::PolytropicIndex{}),
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[nan](double index) { return index == 3.0 ? 0.36029966935264141 : nan; })).bind(target_model());
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CHECK_FALSE(broken.try_model_at({2.0}));
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CHECK_FALSE(broken.try_model_at({0.5}));
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CHECK_FALSE(broken.try_model_at({nan}));
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const auto physical = family::in(family::PolytropicIndex{}, family::AngularMomentum{})
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.with(family::preserve_pressure_at_reference_density(dimensions::DensityValue{0.2})).bind(target_model());
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CHECK_FALSE(physical.try_model_at({0.5, 0.01}));
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CHECK_FALSE(physical.try_model_at({2.0, -0.01}));
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CHECK_FALSE(physical.try_model_at({std::numeric_limits<double>::infinity(), 0.01}));
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CHECK_FALSE(physical.try_model_at({2.0, nan}));
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const auto overflowing = family::in(family::PolytropicIndex{}).with(
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family::preserve_pressure_at_reference_density(dimensions::DensityValue{std::numeric_limits<double>::max()}));
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CHECK_THROWS_AS(overflowing.bind(target_model()), std::invalid_argument);
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using Function = double (*)(double);
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CHECK_THROWS_AS(family::law(family::PolytropicConstant{}, family::depends_on(family::PolytropicIndex{}), static_cast<Function>(nullptr)), std::invalid_argument);
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const family::ParameterLaw<family::PolytropicConstant, family::ParameterList<family::PolytropicIndex>, Function> bypassed{nullptr};
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CHECK_THROWS_AS(family::in(family::PolytropicIndex{}).with(bypassed).bind(target_model()), std::invalid_argument);
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using Member = double (dimensions::AngularMomentumValue::*)() const noexcept;
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CHECK_THROWS_AS(family::law(family::PolytropicConstant{}, family::depends_on(family::AngularMomentum{}), static_cast<Member>(nullptr)), std::invalid_argument);
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}
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TEST_CASE("Continuation owns move-only laws and explicitly reproducible equation definitions", "[unit][solver][continuation][family]") {
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auto definition = family::in(family::PolytropicIndex{}).with(family::law(family::PolytropicConstant{}, family::depends_on(family::PolytropicIndex{}),
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[constant = std::make_unique<double>(0.3)](double index) { return *constant * index / 3.0; }));
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const auto bound = std::move(definition).bind(target_model(3.0, 0.3));
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CHECK(bound.model_at({1.5}).equation_of_state().polytropic_constant() == Catch::Approx(0.15));
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CHECK(bound.model_at({3.0}).equation_of_state().polytropic_constant() == 0.3);
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auto target = model::make_stellar_model(Polytrope{3.0, 0.3}, MoveOnlyDefinition{std::make_unique<double>(0.01)},
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model::FixedAngularMomentum{dimensions::AngularMomentumValue{0.1}});
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const auto movable = family::in(family::AngularMomentum{}).bind(std::move(target), [](const MoveOnlyDefinition& original) {
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return MoveOnlyDefinition{std::make_unique<double>(*original.pressure)};
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});
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auto first = movable.model_at({0.02}), second = movable.model_at({0.04});
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CHECK(first.equations().pressure.get() != second.equations().pressure.get());
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CHECK(movable.try_validate_member(first));
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}
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TEST_CASE("Custom physical families verify installed values and exact target cloning", "[unit][solver][continuation][family]") {
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const auto target = model::make_stellar_model(TestEOS{}, Definition{});
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const auto custom = family::in(TestPressure{}).bind(target);
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CHECK(custom.starting_coordinates() == std::array<double, 1>{3.0});
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CHECK(custom.target_coordinates() == std::array<double, 1>{3.0});
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const auto stage = custom.model_at({2.0});
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CHECK(stage.equation_of_state().pressure == 2.0);
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CHECK(custom.try_validate_member(stage));
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const auto faulty = model::make_stellar_model(TestEOS{.ignore_updates = true}, Definition{},
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model::FixedAngularMomentum{dimensions::AngularMomentumValue{0.1}});
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const auto ignores = family::in(TestPressure{}).bind(faulty);
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CHECK(ignores.try_model_at(ignores.target_coordinates()));
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CHECK_FALSE(ignores.try_model_at({2.0}));
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CHECK_FALSE(ignores.try_model_at({std::nextafter(3.0, 2.0)}));
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CHECK(ignores.target_model().equation_of_state().pressure == 3.0);
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const auto derived = family::in(family::AngularMomentum{}).with(family::law(TestPressure{}, family::depends_on(family::AngularMomentum{}),
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[](dimensions::AngularMomentumValue momentum) { return dimensions::PressureValue{30.0 * momentum.value()}; })).bind(faulty);
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CHECK(derived.try_model_at(derived.target_coordinates()));
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CHECK_FALSE(derived.try_model_at({0.05}));
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CHECK(derived.target_model().equation_of_state().pressure == 3.0);
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const auto bad_clone = model::make_stellar_model(TestEOS{.clone_offset = std::numeric_limits<double>::epsilon() * 3.0}, Definition{},
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model::FixedAngularMomentum{dimensions::AngularMomentumValue{0.1}});
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CHECK_THROWS_AS(family::in(family::AngularMomentum{}).bind(bad_clone), std::invalid_argument);
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CHECK(bad_clone.equation_of_state().pressure == 3.0);
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}
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TEST_CASE("Identified equation definitions retain typed captures and support move-only callables", "[unit][solver][continuation][family]") {
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auto equations = family::identified_equations([offset = std::make_unique<double>(2.0)](const auto& model) {
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return model.equation_of_state().polytropic_index() + *offset;
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}, dimensions::PressureValue{0.02}, dimensions::QuantityValue<dimensions::GravitationalConstant>{1.0});
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STATIC_CHECK_FALSE(std::copy_constructible<decltype(equations)>);
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STATIC_CHECK(std::same_as<std::tuple_element_t<0, decltype(equations.identity)>, dimensions::PressureValue>);
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CHECK(equations.continuation_identity() == std::array{0.02, 1.0});
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CHECK(equations(target_model()) == 5.0);
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auto moved = std::move(equations);
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CHECK(moved(target_model(1.5)) == 3.5);
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CHECK(moved.continuation_identity() == std::array{0.02, 1.0});
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}
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