Snapshot optimized solver and audit diagnostics before numerical experiments
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@@ -1,3 +1,4 @@
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#include <algorithm>
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#include <array>
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#include <catch2/catch_test_macros.hpp>
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#include <catch2/matchers/catch_matchers_floating_point.hpp>
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@@ -102,6 +103,43 @@ namespace {
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}
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} // namespace
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TEST_CASE("Kelvin Prepared Jacobian Factors Match Full Variation", tags::unit &tags::mapping &tags::kelvin) {
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mapping::compactification::KelvinCompactification kelvin({.r_star_ref = 1.3, .r_inf_ref = 3.1});
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const auto position = make_vector(1.1, 0.2, -0.1);
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const auto coordinateGradient = make_vector(0.2, 0.03, -0.01);
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auto jacobian = make_identity();
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jacobian(0, 1) = 0.07;
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const auto direction = make_vector(-0.02, 0.07, 0.04);
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auto directionJacobian = make_identity();
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directionJacobian *= 0.03;
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directionJacobian(1, 2) = -0.05;
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for (const double coordinate : {0.0, 0.4, 0.93, 0.999}) {
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const mapping::compactification::ExteriorMapInput input{
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position, position, jacobian, coordinate, coordinateGradient};
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mapping::compactification::ExteriorMapResult base;
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REQUIRE(kelvin.Evaluate(input, base) == mapping::MappingStatus::valid);
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mapping::compactification::ExteriorMapVariation variation;
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REQUIRE(kelvin.EvaluateVariation(input, base, {direction, directionJacobian}, variation) == mapping::MappingStatus::valid);
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double scale = 0.0;
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mfem::Vector scaleGradient;
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REQUIRE(kelvin.EvaluateJacobianVariationFactors(coordinate, coordinateGradient, scale, scaleGradient) == mapping::MappingStatus::valid);
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for (int row = 0; row < 3; ++row) {
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for (int column = 0; column < 3; ++column) {
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const double expected = variation.mapping_jacobian_variation(row, column);
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CHECK_THAT(scale * directionJacobian(row, column) + direction(row) * scaleGradient(column),
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WithinAbs(expected, 1.0e-12 * std::max(1.0, std::abs(expected))));
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}
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}
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}
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double scale = 0.0;
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mfem::Vector gradient;
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CHECK(kelvin.EvaluateJacobianVariationFactors(1.0, coordinateGradient, scale, gradient) == mapping::MappingStatus::at_compactified_infinity);
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CHECK(kelvin.EvaluateJacobianVariationFactors(-0.1, coordinateGradient, scale, gradient) == mapping::MappingStatus::outside_reference_domain);
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auto invalid = coordinateGradient;
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invalid(1) = std::numeric_limits<double>::quiet_NaN();
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CHECK(kelvin.EvaluateJacobianVariationFactors(0.4, invalid, scale, gradient) == mapping::MappingStatus::non_finite_input);
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}
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TEST_CASE(
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"Kelvin Compactification Validates Its Configuration",
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tags::unit &tags::mapping &tags::kelvin
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@@ -719,4 +757,4 @@ TEST_CASE(
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check_vector(first_a.physical_position, second_a.physical_position, tolerance);
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check_matrix(first_a.mapping_jacobian, second_a.mapping_jacobian, tolerance);
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}
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}
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