feat(surface): major work on implementing surface constraints in a presciption agnostic manner
This commit is contained in:
@@ -8,115 +8,202 @@
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import mean_field;
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import test_helpers;
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TEST_CASE("Polytropic EOS Satisfies Its Analytic Identities",
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tags::barotrope_eos_unit) {
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constexpr double polytropic_index = 3.0;
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constexpr double polytropic_constant = 1.5;
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TEST_CASE(
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"Polytropic EOS Satisfies Its Analytic Identities",
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tags::barotrope_eos_unit
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) {
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using namespace mean_field::eos;
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const mean_field::eos::Polytrope barotrope(polytropic_index,
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polytropic_constant);
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constexpr double polytropic_index = 3.0;
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constexpr double polytropic_constant = 1.5;
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const std::array<double, 5> densities{1.0e-6, 1.0e-3, 0.1, 0.7, 2.0};
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const Polytrope barotrope(polytropic_index, polytropic_constant);
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for (const double density : densities) {
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const double pressure = barotrope.pressure_from_density(density);
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using densityV = DensityValue;
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using pressureV = PressureValue;
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using enthalpyV = SpecificEnthalpyValue;
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const double enthalpy = barotrope.enthalpy_from_density(density);
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constexpr std::array<densityV, 5> densities{
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densityV{1.0e-6}, densityV{1.0e-3}, densityV{0.1}, densityV{0.7}, densityV{2.0}
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};
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const double reconstructed_density =
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barotrope.density_from_enthalpy(enthalpy);
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for (const densityV density : densities) {
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const pressureV pressure = evaluate<quantity::Pressure>(barotrope, density);
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const double reconstructed_pressure =
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barotrope.pressure_from_enthalpy(enthalpy);
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const enthalpyV enthalpy = evaluate<quantity::SpecificEnthalpy>(barotrope, density);
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const densityV reconstructed_density = evaluate<quantity::Density>(barotrope, enthalpy);
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const double reconstructed_enthalpy =
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barotrope.enthalpy_from_pressure(pressure);
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const pressureV reconstructed_pressure = evaluate<quantity::Pressure>(barotrope, enthalpy);
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CHECK_THAT(reconstructed_density,
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Catch::Matchers::WithinRel(density, 2.0e-14));
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const enthalpyV reconstructed_enthalpy = evaluate<quantity::SpecificEnthalpy>(barotrope, pressure);
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CHECK_THAT(reconstructed_pressure,
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Catch::Matchers::WithinRel(pressure, 2.0e-14));
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CHECK_THAT(reconstructed_density.value(), Catch::Matchers::WithinRel(density.value(), 2.0e-14));
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CHECK_THAT(reconstructed_enthalpy,
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Catch::Matchers::WithinRel(enthalpy, 2.0e-14));
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CHECK_THAT(reconstructed_pressure.value(), Catch::Matchers::WithinRel(pressure.value(), 2.0e-14));
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CHECK_THAT(pressure,
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Catch::Matchers::WithinRel(
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density * enthalpy / (polytropic_index + 1.0), 2.0e-14));
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CHECK_THAT(reconstructed_enthalpy.value(), Catch::Matchers::WithinRel(enthalpy.value(), 2.0e-14));
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CHECK_THAT(barotrope.pressure_derivative_from_enthalpy(enthalpy),
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Catch::Matchers::WithinRel(density, 2.0e-14));
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CHECK_THAT(
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pressure.value(),
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Catch::Matchers::WithinRel(density.value() * enthalpy.value() / (polytropic_index + 1.0), 2.0e-14)
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);
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CHECK_THAT(
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barotrope.pressure_derivative_from_density(density),
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Catch::Matchers::WithinRel(enthalpy / polytropic_index, 2.0e-14));
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}
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CHECK_THAT(
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(mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Pressure, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{enthalpy}
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)
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.value()),
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Catch::Matchers::WithinRel(density.value(), 2.0e-14)
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);
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CHECK_THAT(
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(mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Pressure, mean_field::eos::quantity::Density>(
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barotrope, mean_field::eos::DensityValue{density}
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)
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.value()),
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Catch::Matchers::WithinRel(enthalpy.value() / polytropic_index, 2.0e-14)
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);
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}
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}
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TEST_CASE("Polytropic EOS Derivatives Match Centered Differences",
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tags::barotrope_eos_jacobian) {
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const mean_field::eos::Polytrope barotrope(3.0, 1.5);
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TEST_CASE(
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"Polytropic EOS Derivatives Match Centered Differences",
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tags::barotrope_eos_jacobian
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) {
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using namespace mean_field::eos;
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const std::array<double, 4> enthalpies{0.05, 0.2, 0.7, 1.4};
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const Polytrope barotrope(3.0, 1.5);
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for (const double enthalpy : enthalpies) {
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const double step = 1.0e-6 * std::max(1.0, enthalpy);
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using densityV = DensityValue;
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using pressureV = PressureValue;
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using enthalpyV = SpecificEnthalpyValue;
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const double density_difference =
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(barotrope.density_from_enthalpy(enthalpy + step) -
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barotrope.density_from_enthalpy(enthalpy - step)) /
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(2.0 * step);
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constexpr std::array<enthalpyV, 4> enthalpies{enthalpyV{0.05}, enthalpyV{0.2}, enthalpyV{0.7}, enthalpyV{1.4}};
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const double pressure_difference =
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(barotrope.pressure_from_enthalpy(enthalpy + step) -
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barotrope.pressure_from_enthalpy(enthalpy - step)) /
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(2.0 * step);
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for (const enthalpyV enthalpy : enthalpies) {
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const enthalpyV step = enthalpyV{1.0e-6} * std::max(1.0, enthalpy.value());
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CHECK_THAT(
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density_difference,
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Catch::Matchers::WithinRel(
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barotrope.density_derivative_from_enthalpy(enthalpy), 5.0e-10));
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const densityV density_difference = (evaluate<quantity::Density>(barotrope, enthalpy + step) -
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evaluate<quantity::Density>(barotrope, enthalpy - step)) /
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(2.0 * step.value());
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CHECK_THAT(
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pressure_difference,
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Catch::Matchers::WithinRel(
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barotrope.pressure_derivative_from_enthalpy(enthalpy), 5.0e-10));
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}
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const pressureV pressure_difference = (evaluate<quantity::Pressure>(barotrope, enthalpy + step) -
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evaluate<quantity::Pressure>(barotrope, enthalpy - step)) /
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(2.0 * step.value());
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CHECK_THAT(
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density_difference.value(),
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Catch::Matchers::WithinRel(
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mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Density, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, enthalpy
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)
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.value(),
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5.0e-10
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)
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);
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CHECK_THAT(
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pressure_difference.value(),
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Catch::Matchers::WithinRel(
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mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Pressure, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, enthalpy
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)
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.value(),
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5.0e-10
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)
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);
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}
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}
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TEST_CASE("Polytropic EOS Has An Exact Zero Density Surface",
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tags::barotrope_eos_unit) {
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const mean_field::eos::Polytrope barotrope(3.0, 1.5);
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TEST_CASE(
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"Polytropic EOS Has An Exact Zero Density Surface",
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tags::barotrope_eos_unit
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) {
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const mean_field::eos::Polytrope barotrope(3.0, 1.5);
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CHECK(barotrope.density_from_enthalpy(-1.0) == 0.0);
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CHECK(barotrope.density_from_enthalpy(0.0) == 0.0);
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CHECK(
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mean_field::eos::evaluate<mean_field::eos::quantity::Density>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{-1.0}
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)
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.value() == 0.0
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);
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CHECK(
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mean_field::eos::evaluate<mean_field::eos::quantity::Density>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{0.0}
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)
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.value() == 0.0
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);
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CHECK(barotrope.pressure_from_enthalpy(-1.0) == 0.0);
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CHECK(barotrope.pressure_from_enthalpy(0.0) == 0.0);
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CHECK(
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mean_field::eos::evaluate<mean_field::eos::quantity::Pressure>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{-1.0}
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)
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.value() == 0.0
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);
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CHECK(
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mean_field::eos::evaluate<mean_field::eos::quantity::Pressure>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{0.0}
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)
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.value() == 0.0
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);
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CHECK(barotrope.density_derivative_from_enthalpy(-1.0) == 0.0);
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CHECK(
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(mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Density, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{-1.0}
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)
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.value() == 0.0)
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);
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CHECK(barotrope.density_derivative_from_enthalpy(0.0) == 0.0);
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CHECK(
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(mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Density, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{0.0}
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)
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.value() == 0.0)
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);
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CHECK(barotrope.pressure_derivative_from_enthalpy(0.0) == 0.0);
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CHECK(
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(mean_field::eos::partialDerivative<
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mean_field::eos::quantity::Pressure, mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::SpecificEnthalpyValue{0.0}
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)
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.value() == 0.0)
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);
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}
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TEST_CASE("Polytropic EOS Rejects Invalid Material Parameters",
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tags::barotrope_eos_unit) {
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CHECK_THROWS_AS(mean_field::eos::Polytrope(0.5, 1.0), std::invalid_argument);
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TEST_CASE(
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"Polytropic EOS Rejects Invalid Material Parameters",
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tags::barotrope_eos_unit
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) {
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CHECK_THROWS_AS(mean_field::eos::Polytrope(0.5, 1.0), std::invalid_argument);
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CHECK_THROWS_AS(mean_field::eos::Polytrope(3.0, 0.0), std::invalid_argument);
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CHECK_THROWS_AS(mean_field::eos::Polytrope(3.0, 0.0), std::invalid_argument);
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CHECK_THROWS_AS(
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mean_field::eos::Polytrope(std::numeric_limits<double>::infinity(), 1.0),
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std::invalid_argument);
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CHECK_THROWS_AS(mean_field::eos::Polytrope(std::numeric_limits<double>::infinity(), 1.0), std::invalid_argument);
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const mean_field::eos::Polytrope barotrope(3.0, 1.0);
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const mean_field::eos::Polytrope barotrope(3.0, 1.0);
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CHECK_THROWS_AS(barotrope.pressure_from_density(-1.0), std::domain_error);
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CHECK_THROWS_AS(
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mean_field::eos::evaluate<mean_field::eos::quantity::Pressure>(barotrope, mean_field::eos::DensityValue{-1.0}),
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std::domain_error
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);
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CHECK_THROWS_AS(barotrope.enthalpy_from_density(-1.0), std::domain_error);
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CHECK_THROWS_AS(
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mean_field::eos::evaluate<mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::DensityValue{-1.0}
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),
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std::domain_error
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);
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CHECK_THROWS_AS(barotrope.enthalpy_from_pressure(-1.0), std::domain_error);
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CHECK_THROWS_AS(
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mean_field::eos::evaluate<mean_field::eos::quantity::SpecificEnthalpy>(
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barotrope, mean_field::eos::PressureValue{-1.0}
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),
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std::domain_error
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);
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}
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