KOKO\Mimi
387 lines
16 KiB
C++
387 lines
16 KiB
C++
#include <gtest/gtest.h>
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#include <cstddef>
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#include <filesystem>
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#include <limits>
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#include <stdexcept>
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#include <string>
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#include <utility>
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#include <vector>
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#include "fesa/analysis/analysis_model.h"
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#include "fesa/constraints/essential_constraint_policy.h"
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#include "fesa/fem/dof_manager.h"
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#include "fesa/model/domain.h"
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namespace {
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fesa::DofManager MakeDofs(
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std::vector<fesa::PrescribedDisplacementDefinition> boundaries) {
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const std::filesystem::path source{"models/essential-constraints.inp"};
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fesa::ModelDefinition definition{};
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definition.source_path = source;
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definition.source_content_identity = "fnv1a64:1234567890abcdef";
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definition.nodes = {{{"Beam-1", 1, "1"}, {0.0, 0.0, 0.0}, {source, 2U}}};
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definition.steps = {{"Step-1",
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std::move(boundaries),
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{},
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0.1,
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1.0,
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0.01,
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1.0,
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{source, 10U}}};
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auto domain = fesa::Domain::Create(std::move(definition));
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EXPECT_TRUE(domain.HasValue());
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auto model = fesa::AnalysisModel::Create(domain.Value());
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EXPECT_TRUE(model.HasValue());
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auto dofs = fesa::DofManager::Create(model.Value());
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EXPECT_TRUE(dofs.HasValue());
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return std::move(dofs.Value());
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}
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fesa::DofManager MakeShellSizedDofs(
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std::vector<fesa::PrescribedDisplacementDefinition> boundaries) {
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const std::filesystem::path source{"models/shell-essential-constraints.inp"};
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fesa::ModelDefinition definition{};
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definition.source_path = source;
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definition.source_content_identity = "fnv1a64:8877665544332211";
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definition.nodes = {{{"Shell-1", 1, "1"}, {0.0, 0.0, 0.0}, {source, 2U}},
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{{"Shell-1", 2, "2"}, {1.0, 0.0, 0.0}, {source, 3U}},
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{{"Shell-1", 3, "3"}, {1.0, 1.0, 0.0}, {source, 4U}},
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{{"Shell-1", 4, "4"}, {0.0, 1.0, 0.0}, {source, 5U}}};
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definition.materials = {{"Material", 1000.0, 0.25, {source, 6U}}};
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definition.shell_sections = {{"ShellSection", 0.1, 0U, {source, 7U}}};
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definition.shell_elements = {{{"Shell-1", 1, "1"},
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fesa::ShellSourceElementType::kS4,
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{0U, 1U, 2U, 3U},
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0U,
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0U,
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{source, 8U}}};
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definition.steps = {{"Step-1",
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std::move(boundaries),
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{},
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0.1,
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1.0,
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0.01,
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1.0,
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{source, 10U}}};
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auto domain = fesa::Domain::Create(std::move(definition));
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EXPECT_TRUE(domain.HasValue());
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auto model = fesa::AnalysisModel::Create(domain.Value());
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EXPECT_TRUE(model.HasValue());
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auto dofs = fesa::DofManager::Create(model.Value());
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EXPECT_TRUE(dofs.HasValue());
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return std::move(dofs.Value());
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}
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fesa::SparseMatrix MakeMatrix(const std::size_t rows, const std::size_t columns,
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const std::vector<double>& dense_values) {
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EXPECT_EQ(dense_values.size(), rows * columns);
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fesa::SparsePattern pattern;
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std::vector<fesa::CooContribution> contributions;
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pattern.row_offsets.reserve(rows + 1U);
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pattern.row_offsets.push_back(0U);
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for (std::size_t row = 0U; row < rows; ++row) {
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for (std::size_t column = 0U; column < columns; ++column) {
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pattern.column_indices.push_back(column);
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contributions.push_back(
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{row, column, dense_values[row * columns + column], row, column});
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}
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pattern.row_offsets.push_back(pattern.column_indices.size());
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}
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auto matrix = fesa::SparseMatrix::FromCoo(rows, columns,
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std::move(contributions), pattern);
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EXPECT_TRUE(matrix.HasValue());
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return std::move(matrix.Value());
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}
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std::vector<double> SequentialDense(const std::size_t size) {
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std::vector<double> values(size * size);
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for (std::size_t row = 0U; row < size; ++row) {
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for (std::size_t column = 0U; column < size; ++column) {
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values[row * size + column] =
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static_cast<double>(row * 10U + column + 1U);
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}
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}
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return values;
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}
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void ExpectShape(const fesa::SparseMatrix& matrix, const std::size_t rows,
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const std::size_t columns) {
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EXPECT_EQ(matrix.Rows(), rows);
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EXPECT_EQ(matrix.Columns(), columns);
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EXPECT_TRUE(matrix.Validate().IsOk());
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}
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} // namespace
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TEST(EssentialConstraints, ExtractsHandComputedBlocksInStableOrder) {
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const auto dofs =
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MakeDofs({{"1", 2, 2, 2.5, {{}, 12U}}, {"1", 5, 5, -3.25, {{}, 13U}}});
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auto full_values = SequentialDense(6U);
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full_values[2U * 6U + 4U] = 0.0;
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const auto full = MakeMatrix(6U, 6U, full_values);
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const fesa::EssentialConstraintPolicy policy;
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auto result = policy.Partition(full, dofs);
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ASSERT_TRUE(result.HasValue());
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const auto& blocks = result.Value();
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EXPECT_EQ(blocks.k_ff.RowOffsets(),
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(std::vector<std::size_t>{0U, 4U, 8U, 12U, 16U}));
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EXPECT_EQ(blocks.k_ff.ColumnIndices(),
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(std::vector<std::size_t>{0U, 1U, 2U, 3U, 0U, 1U, 2U, 3U, 0U, 1U,
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2U, 3U, 0U, 1U, 2U, 3U}));
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EXPECT_EQ(
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blocks.k_ff.Values(),
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(std::vector<double>{1.0, 3.0, 4.0, 6.0, 21.0, 23.0, 24.0, 26.0, 31.0,
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33.0, 34.0, 36.0, 51.0, 53.0, 54.0, 56.0}));
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EXPECT_EQ(blocks.k_fc.RowOffsets(),
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(std::vector<std::size_t>{0U, 2U, 4U, 6U, 8U}));
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EXPECT_EQ(blocks.k_fc.ColumnIndices(),
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(std::vector<std::size_t>{0U, 1U, 0U, 1U, 0U, 1U, 0U, 1U}));
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EXPECT_EQ(blocks.k_fc.Values(),
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(std::vector<double>{2.0, 5.0, 22.0, 0.0, 32.0, 35.0, 52.0, 55.0}));
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EXPECT_EQ(blocks.k_cf.RowOffsets(), (std::vector<std::size_t>{0U, 4U, 8U}));
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EXPECT_EQ(blocks.k_cf.ColumnIndices(),
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(std::vector<std::size_t>{0U, 1U, 2U, 3U, 0U, 1U, 2U, 3U}));
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EXPECT_EQ(
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blocks.k_cf.Values(),
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(std::vector<double>{11.0, 13.0, 14.0, 16.0, 41.0, 43.0, 44.0, 46.0}));
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EXPECT_EQ(blocks.k_cc.RowOffsets(), (std::vector<std::size_t>{0U, 2U, 4U}));
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EXPECT_EQ(blocks.k_cc.ColumnIndices(),
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(std::vector<std::size_t>{0U, 1U, 0U, 1U}));
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EXPECT_EQ(blocks.k_cc.Values(),
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(std::vector<double>{12.0, 15.0, 42.0, 45.0}));
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EXPECT_EQ(blocks.k_fc.Values()[3U], 0.0);
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EXPECT_TRUE(blocks.k_ff.Validate().IsOk());
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EXPECT_TRUE(blocks.k_fc.Validate().IsOk());
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EXPECT_TRUE(blocks.k_cf.Validate().IsOk());
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EXPECT_TRUE(blocks.k_cc.Validate().IsOk());
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}
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TEST(EssentialConstraints, HandlesNoAllAndMixedConstraints) {
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const auto full = MakeMatrix(6U, 6U, SequentialDense(6U));
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const fesa::EssentialConstraintPolicy policy;
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const auto no_constraints = MakeDofs({});
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auto none = policy.Partition(full, no_constraints);
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ASSERT_TRUE(none.HasValue());
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ExpectShape(none.Value().k_ff, 6U, 6U);
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ExpectShape(none.Value().k_fc, 6U, 0U);
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ExpectShape(none.Value().k_cf, 0U, 6U);
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ExpectShape(none.Value().k_cc, 0U, 0U);
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EXPECT_EQ(none.Value().k_ff.Values(), full.Values());
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const auto all_constraints = MakeDofs({{"1", 1, 6, 1.0, {{}, 12U}}});
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auto all = policy.Partition(full, all_constraints);
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ASSERT_TRUE(all.HasValue());
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ExpectShape(all.Value().k_ff, 0U, 0U);
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ExpectShape(all.Value().k_fc, 0U, 6U);
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ExpectShape(all.Value().k_cf, 6U, 0U);
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ExpectShape(all.Value().k_cc, 6U, 6U);
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EXPECT_EQ(all.Value().k_cc.Values(), full.Values());
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fesa::Vector full_load{6U};
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for (std::size_t i = 0U; i < full_load.Size(); ++i)
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full_load[i] = static_cast<double>(i) - 2.0;
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auto empty_rhs = policy.EffectiveFreeRhs(
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full_load, all.Value().k_fc, all_constraints.PrescribedValues(),
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all_constraints);
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ASSERT_TRUE(empty_rhs.HasValue());
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EXPECT_EQ(empty_rhs.Value().Size(), 0U);
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auto full_rhs = policy.EffectiveFreeRhs(
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full_load, none.Value().k_fc, no_constraints.PrescribedValues(),
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no_constraints);
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ASSERT_TRUE(full_rhs.HasValue());
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for (std::size_t i = 0U; i < full_load.Size(); ++i) {
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EXPECT_EQ(full_rhs.Value()[i], static_cast<double>(i) - 2.0);
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EXPECT_EQ(full_load[i], static_cast<double>(i) - 2.0);
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}
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const auto mixed_constraints = MakeDofs({{"1", 3, 4, 0.0, {{}, 12U}}});
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auto mixed = policy.Partition(full, mixed_constraints);
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ASSERT_TRUE(mixed.HasValue());
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ExpectShape(mixed.Value().k_ff, 4U, 4U);
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ExpectShape(mixed.Value().k_fc, 4U, 2U);
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ExpectShape(mixed.Value().k_cf, 2U, 4U);
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ExpectShape(mixed.Value().k_cc, 2U, 2U);
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}
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// MITC4-DOF-003
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TEST(EssentialConstraints,
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PreservesShellSizedNoMixedAndAllConstraintRoundTrips) {
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const auto full = MakeMatrix(24U, 24U, SequentialDense(24U));
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const fesa::EssentialConstraintPolicy policy;
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const auto no_constraints = MakeShellSizedDofs({});
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auto none = policy.Partition(full, no_constraints);
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ASSERT_TRUE(none.HasValue());
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ExpectShape(none.Value().k_ff, 24U, 24U);
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ExpectShape(none.Value().k_fc, 24U, 0U);
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ExpectShape(none.Value().k_cf, 0U, 24U);
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ExpectShape(none.Value().k_cc, 0U, 0U);
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const auto mixed_constraints = MakeShellSizedDofs(
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{{"1", 1, 6, 0.0, {{}, 12U}}, {"4", 2, 2, 2.5, {{}, 13U}}});
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auto mixed = policy.Partition(full, mixed_constraints);
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ASSERT_TRUE(mixed.HasValue());
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ExpectShape(mixed.Value().k_ff, 17U, 17U);
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ExpectShape(mixed.Value().k_fc, 17U, 7U);
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ExpectShape(mixed.Value().k_cf, 7U, 17U);
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ExpectShape(mixed.Value().k_cc, 7U, 7U);
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fesa::Vector mixed_full{24U};
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for (std::size_t index = 0U; index < mixed_full.Size(); ++index) {
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mixed_full[index] = static_cast<double>(index) + 0.5;
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}
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for (std::size_t index = 0U; index < mixed_constraints.ConstrainedDofCount();
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++index) {
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mixed_full[mixed_constraints.ConstrainedDofs()[index]] =
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mixed_constraints.PrescribedValues()[index];
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}
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const auto mixed_free = policy.GatherFree(mixed_full, mixed_constraints);
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const auto mixed_reconstructed = policy.ReconstructFull(
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mixed_free, mixed_constraints.PrescribedValues(), mixed_constraints);
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ASSERT_EQ(mixed_reconstructed.Size(), mixed_full.Size());
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for (std::size_t index = 0U; index < mixed_full.Size(); ++index) {
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EXPECT_DOUBLE_EQ(mixed_reconstructed[index], mixed_full[index]);
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}
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const auto all_constraints =
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MakeShellSizedDofs({{"1", 1, 6, 1.0, {{}, 14U}},
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{"2", 1, 6, 2.0, {{}, 15U}},
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{"3", 1, 6, 3.0, {{}, 16U}},
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{"4", 1, 6, 4.0, {{}, 17U}}});
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auto all = policy.Partition(full, all_constraints);
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ASSERT_TRUE(all.HasValue());
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ExpectShape(all.Value().k_ff, 0U, 0U);
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ExpectShape(all.Value().k_fc, 0U, 24U);
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ExpectShape(all.Value().k_cf, 24U, 0U);
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ExpectShape(all.Value().k_cc, 24U, 24U);
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const auto all_reconstructed = policy.ReconstructFull(
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fesa::Vector{0U}, all_constraints.PrescribedValues(), all_constraints);
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ASSERT_EQ(all_reconstructed.Size(), 24U);
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for (std::size_t node = 0U; node < 4U; ++node) {
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for (std::size_t component = 0U; component < 6U; ++component) {
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EXPECT_DOUBLE_EQ(all_reconstructed[node * 6U + component], node + 1.0);
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}
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}
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}
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TEST(EssentialConstraints, ReconstructsNonzeroPrescribedValues) {
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const fesa::EssentialConstraintPolicy policy;
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const auto dofs =
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MakeDofs({{"1", 2, 2, 2.5, {{}, 12U}}, {"1", 5, 5, -3.25, {{}, 13U}}});
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fesa::Vector full{6U};
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full[0U] = 10.0;
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full[1U] = 2.5;
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full[2U] = 20.0;
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full[3U] = 30.0;
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full[4U] = -3.25;
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full[5U] = 40.0;
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const auto free = policy.GatherFree(full, dofs);
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const auto constrained = policy.GatherConstrained(full, dofs);
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EXPECT_EQ(free.Size(), 4U);
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EXPECT_DOUBLE_EQ(free[0U], 10.0);
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EXPECT_DOUBLE_EQ(free[1U], 20.0);
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EXPECT_DOUBLE_EQ(free[2U], 30.0);
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EXPECT_DOUBLE_EQ(free[3U], 40.0);
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EXPECT_EQ(constrained.Size(), 2U);
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EXPECT_DOUBLE_EQ(constrained[0U], 2.5);
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EXPECT_DOUBLE_EQ(constrained[1U], -3.25);
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EXPECT_EQ(constrained[0U], dofs.PrescribedValues()[0U]);
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EXPECT_EQ(constrained[1U], dofs.PrescribedValues()[1U]);
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const auto reconstructed =
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policy.ReconstructFull(free, dofs.PrescribedValues(), dofs);
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ASSERT_EQ(reconstructed.Size(), full.Size());
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for (std::size_t index = 0U; index < full.Size(); ++index) {
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EXPECT_DOUBLE_EQ(reconstructed[index], full[index]);
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}
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}
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TEST(EssentialConstraints, RejectsDimensionOrOrderMismatch) {
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const fesa::EssentialConstraintPolicy policy;
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const auto dofs = MakeDofs({{"1", 2, 2, 1.0, {{}, 12U}}});
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const auto wrong_square = MakeMatrix(5U, 5U, SequentialDense(5U));
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auto wrong_dimension = policy.Partition(wrong_square, dofs);
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ASSERT_FALSE(wrong_dimension.HasValue());
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EXPECT_EQ(wrong_dimension.GetStatus().Category(),
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fesa::FailureCategory::kModel);
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ASSERT_EQ(wrong_dimension.GetStatus().Diagnostics().size(), 1U);
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EXPECT_EQ(wrong_dimension.GetStatus().Diagnostics()[0U].code,
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"invalid-constraint-dimensions");
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const auto rectangular = MakeMatrix(6U, 5U, std::vector<double>(30U, 0.0));
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auto wrong_order = policy.Partition(rectangular, dofs);
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ASSERT_FALSE(wrong_order.HasValue());
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EXPECT_EQ(wrong_order.GetStatus().Diagnostics()[0U].code,
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"invalid-constraint-dimensions");
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EXPECT_THROW(static_cast<void>(policy.GatherFree(fesa::Vector{5U}, dofs)),
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std::invalid_argument);
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EXPECT_THROW(
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static_cast<void>(policy.GatherConstrained(fesa::Vector{7U}, dofs)),
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std::invalid_argument);
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EXPECT_THROW(static_cast<void>(policy.ReconstructFull(
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fesa::Vector{4U}, fesa::Vector{2U}, dofs)),
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std::invalid_argument);
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}
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TEST(EssentialConstraints, PreservesEliminationFailureOrderAndInputs) {
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const fesa::EssentialConstraintPolicy policy;
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const auto dofs = MakeDofs({{"1", 2, 2, 2.0, {{}, 12U}},
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{"1", 5, 5, -1.0, {{}, 13U}}});
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const double maximum = (std::numeric_limits<double>::max)();
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fesa::Vector load{6U};
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load[0U] = std::numeric_limits<double>::infinity();
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fesa::Vector prescribed{2U};
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prescribed[0U] = std::numeric_limits<double>::infinity();
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prescribed[1U] = 1.0;
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const auto kfc = MakeMatrix(4U, 2U, {0.4 * maximum, 0.8 * maximum,
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maximum, 0.0, 0.0, 0.0, 0.0, 0.0});
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const auto original_values = kfc.Values();
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const auto original_pattern = dofs.GetSparsePattern();
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auto candidate = policy.EffectiveFreeRhs(
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load, MakeMatrix(3U, 2U, std::vector<double>(6U)), prescribed, dofs);
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ASSERT_FALSE(candidate.HasValue());
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EXPECT_EQ(candidate.GetStatus().Diagnostics()[0U].code,
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"invalid-load-dimensions");
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candidate = policy.EffectiveFreeRhs(load, kfc, prescribed, dofs);
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ASSERT_FALSE(candidate.HasValue());
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EXPECT_EQ(candidate.GetStatus().Diagnostics()[0U].entity_identity,
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"full-load:0");
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EXPECT_EQ(load[0U], std::numeric_limits<double>::infinity());
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EXPECT_EQ(prescribed[0U], std::numeric_limits<double>::infinity());
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load[0U] = 7.0;
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prescribed[0U] = 2.0;
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candidate = policy.EffectiveFreeRhs(load, kfc, prescribed, dofs);
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ASSERT_FALSE(candidate.HasValue());
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EXPECT_EQ(candidate.GetStatus().Category(), fesa::FailureCategory::kModel);
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ASSERT_EQ(candidate.GetStatus().Diagnostics().size(), 1U);
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const auto& diagnostic = candidate.GetStatus().Diagnostics()[0U];
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EXPECT_EQ(diagnostic.code, "nonfinite-load-accumulation");
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EXPECT_EQ(diagnostic.keyword, "LOAD_ASSEMBLER");
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EXPECT_EQ(diagnostic.entity_identity, "0");
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EXPECT_TRUE(diagnostic.location.file.empty());
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EXPECT_EQ(diagnostic.location.line, 0U);
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EXPECT_EQ(diagnostic.message,
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"Kfc times prescribed displacement produced a nonfinite row sum.");
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EXPECT_EQ(load[0U], 7.0);
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EXPECT_EQ(prescribed[0U], 2.0);
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EXPECT_EQ(prescribed[1U], 1.0);
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EXPECT_EQ(kfc.Values(), original_values);
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EXPECT_EQ(dofs.GetSparsePattern().row_offsets, original_pattern.row_offsets);
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EXPECT_EQ(dofs.GetSparsePattern().column_indices,
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original_pattern.column_indices);
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}
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