#include "fesa/assembly/sparse_assembler.h" #include #include #include #include #include #include #include #include "fesa/analysis/analysis_model.h" #include "fesa/assembly/parallel_for.h" #include "fesa/elements/mitc4_shell.h" #include "fesa/fem/dof_manager.h" #include "fesa/model/domain.h" namespace { fesa::ModelDefinition MakeDefinition() { const std::filesystem::path source{"models/sparse-assembly.inp"}; fesa::ModelDefinition definition{}; definition.source_path = source; definition.source_content_identity = "fnv1a64:0123456789abcdef"; definition.nodes = {{{"Beam-1", 1, "1"}, {0.0, 0.0, 0.0}, {source, 10U}}, {{"Beam-1", 2, "2"}, {2.0, 0.0, 0.0}, {source, 11U}}, {{"Beam-1", 3, "3"}, {5.0, 0.0, 0.0}, {source, 12U}}}; definition.materials = {{"Material", 120.0, 0.25, {source, 20U}}}; definition.sections = {{"Section", 2.0, 1.5, 0.0, 0.75, 0.5, {0.0, 1.0, 0.0}, {}, {source, 30U}}}; definition.elements = { {{"Beam-1", 10, "10"}, {0U, 1U}, 0U, 0U, {source, 40U}}, {{"Beam-1", 20, "20"}, {1U, 2U}, 0U, 0U, {source, 41U}}}; definition.steps = {{"Step-1", {}, {}, 0.1, 1.0, 0.01, 1.0, {source, 50U}}}; return definition; } fesa::ModelDefinition MakeShellDefinition( const fesa::ShellSourceElementType source_type, const bool two_elements = false) { const std::filesystem::path source{"models/shell-sparse-assembly.inp"}; fesa::ModelDefinition definition{}; definition.source_path = source; definition.source_content_identity = "fnv1a64:fedcba9876543210"; if (two_elements) { definition.nodes = {{{"Shell-1", 1, "1"}, {0.0, 0.0, 0.0}, {source, 10U}}, {{"Shell-1", 2, "2"}, {1.0, 0.0, 0.0}, {source, 11U}}, {{"Shell-1", 3, "3"}, {2.0, 0.0, 0.0}, {source, 12U}}, {{"Shell-1", 4, "4"}, {0.0, 1.0, 0.0}, {source, 13U}}, {{"Shell-1", 5, "5"}, {1.0, 1.0, 0.0}, {source, 14U}}, {{"Shell-1", 6, "6"}, {2.0, 1.0, 0.0}, {source, 15U}}}; for (std::size_t node = 0U; node < definition.nodes.size(); ++node) { definition.shell_node_initial_frames.push_back( {static_cast(node), {0.0, 0.0, 1.0}, {1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}}); } definition.shell_elements = {{{"Shell-1", 10, "10"}, source_type, {0U, 1U, 4U, 3U}, 0U, 0U, {source, 40U}}, {{"Shell-1", 20, "20"}, source_type, {1U, 2U, 5U, 4U}, 0U, 0U, {source, 41U}}}; } else { // A YZ-plane fixture catches any accidental global-Z director assumption. definition.nodes = {{{"Shell-1", 1, "1"}, {0.0, 0.0, 0.0}, {source, 10U}}, {{"Shell-1", 2, "2"}, {0.0, 1.0, 0.0}, {source, 11U}}, {{"Shell-1", 3, "3"}, {0.0, 1.0, 1.0}, {source, 12U}}, {{"Shell-1", 4, "4"}, {0.0, 0.0, 1.0}, {source, 13U}}}; for (std::size_t node = 0U; node < definition.nodes.size(); ++node) { definition.shell_node_initial_frames.push_back( {static_cast(node), {1.0, 0.0, 0.0}, {0.0, 1.0, 0.0}, {0.0, 0.0, 1.0}}); } definition.shell_elements = {{{"Shell-1", 10, "10"}, source_type, {0U, 1U, 2U, 3U}, 0U, 0U, {source, 40U}}}; } definition.materials = {{"Material", 120.0, 0.25, {source, 20U}}}; definition.shell_sections = {{"ShellSection", 0.2, 0U, {source, 30U}}}; definition.steps = {{"Step-1", {}, {}, 0.1, 1.0, 0.01, 1.0, {source, 50U}}}; return definition; } fesa::Result DirectShellStiffness( const fesa::Domain& domain, const fesa::EntityIndex element_index) { const auto& definition = domain.ShellElements().at(element_index); std::array nodes{}; std::array, 4> directors{}; for (std::size_t node = 0U; node < definition.node_indices.size(); ++node) { const fesa::EntityIndex node_index = definition.node_indices[node]; nodes[node] = &domain.Nodes().at(node_index); directors[node] = domain.ShellNodeInitialFrames().at(node_index).director; } auto shell = fesa::Mitc4Shell::Create( nodes, directors, domain.ShellSections().at(definition.section_index), domain.Materials().at(definition.material_index)); if (!shell.HasValue()) { return fesa::Result::Failure(shell.GetStatus()); } return shell.Value().Stiffness(); } fesa::Result AssembleShell( const fesa::ShellSourceElementType source_type, const fesa::ParallelFor& parallel_for, const bool two_elements = false) { auto domain = fesa::Domain::Create(MakeShellDefinition(source_type, two_elements)); if (!domain.HasValue()) { return fesa::Result::Failure(domain.GetStatus()); } auto model = fesa::AnalysisModel::Create(domain.Value()); if (!model.HasValue()) { return fesa::Result::Failure(model.GetStatus()); } auto dofs = fesa::DofManager::Create(model.Value()); if (!dofs.HasValue()) { return fesa::Result::Failure(dofs.GetStatus()); } return fesa::SparseAssembler::AssembleStiffness(model.Value(), dofs.Value(), parallel_for); } template bool ByteIdentical(const std::vector& left, const std::vector& right) { return left.size() == right.size() && (left.empty() || std::memcmp(left.data(), right.data(), left.size() * sizeof(T)) == 0); } double Entry(const fesa::SparseMatrix& matrix, const std::size_t row, const std::size_t column) { const auto begin = matrix.ColumnIndices().begin() + matrix.RowOffsets()[row]; const auto end = matrix.ColumnIndices().begin() + matrix.RowOffsets()[row + 1U]; const auto found = std::lower_bound(begin, end, column); if (found == end || *found != column) { return 0.0; } return matrix.Values()[static_cast( std::distance(matrix.ColumnIndices().begin(), found))]; } class ReverseParallelFor final : public fesa::ParallelFor { public: void Execute(const std::size_t count, const std::function& body) const override { ++calls_; observed_count_ = count; for (std::size_t index = count; index > 0U; --index) { body(index - 1U); } } std::size_t Calls() const noexcept { return calls_; } std::size_t ObservedCount() const noexcept { return observed_count_; } private: mutable std::size_t calls_{0U}; mutable std::size_t observed_count_{0U}; }; void ExpectByteIdentical(const fesa::SparseMatrix& actual, const fesa::SparseMatrix& expected) { EXPECT_TRUE(ByteIdentical(actual.RowOffsets(), expected.RowOffsets())); EXPECT_TRUE(ByteIdentical(actual.ColumnIndices(), expected.ColumnIndices())); EXPECT_TRUE(ByteIdentical(actual.Values(), expected.Values())); } TEST(SparseAssembly, SerialTbbAndRepeatedRunsAreByteIdentical) { auto domain_result = fesa::Domain::Create(MakeDefinition()); ASSERT_TRUE(domain_result.HasValue()); auto model_result = fesa::AnalysisModel::Create(domain_result.Value()); ASSERT_TRUE(model_result.HasValue()); auto dofs_result = fesa::DofManager::Create(model_result.Value()); ASSERT_TRUE(dofs_result.HasValue()); fesa::SerialParallelFor serial_executor; fesa::TbbParallelFor tbb_executor; ReverseParallelFor reverse_executor; auto serial = fesa::SparseAssembler::AssembleStiffness( model_result.Value(), dofs_result.Value(), serial_executor); auto tbb = fesa::SparseAssembler::AssembleStiffness( model_result.Value(), dofs_result.Value(), tbb_executor); auto reversed = fesa::SparseAssembler::AssembleStiffness( model_result.Value(), dofs_result.Value(), reverse_executor); ASSERT_TRUE(serial.HasValue()); ASSERT_TRUE(tbb.HasValue()); ASSERT_TRUE(reversed.HasValue()); EXPECT_EQ(reverse_executor.Calls(), 1U); EXPECT_EQ(reverse_executor.ObservedCount(), 2U); EXPECT_EQ(serial.Value().Rows(), 18U); EXPECT_EQ(serial.Value().Columns(), 18U); EXPECT_EQ(serial.Value().RowOffsets(), dofs_result.Value().GetSparsePattern().row_offsets); EXPECT_EQ(serial.Value().ColumnIndices(), dofs_result.Value().GetSparsePattern().column_indices); EXPECT_TRUE(serial.Value().Validate().IsOk()); ExpectByteIdentical(tbb.Value(), serial.Value()); ExpectByteIdentical(reversed.Value(), serial.Value()); for (std::size_t repetition = 0U; repetition < 8U; ++repetition) { auto repeated = fesa::SparseAssembler::AssembleStiffness( model_result.Value(), dofs_result.Value(), tbb_executor); ASSERT_TRUE(repeated.HasValue()); ExpectByteIdentical(repeated.Value(), serial.Value()); } for (std::size_t row = 0U; row < serial.Value().Rows(); ++row) { for (std::size_t column = 0U; column < serial.Value().Columns(); ++column) { EXPECT_DOUBLE_EQ(Entry(serial.Value(), row, column), Entry(serial.Value(), column, row)); } } EXPECT_NEAR(Entry(serial.Value(), 0U, 0U), 120.0, 1.0e-12); EXPECT_NEAR(Entry(serial.Value(), 0U, 6U), -120.0, 1.0e-12); EXPECT_NEAR(Entry(serial.Value(), 6U, 6U), 200.0, 1.0e-12); EXPECT_NEAR(Entry(serial.Value(), 6U, 12U), -80.0, 1.0e-12); EXPECT_NEAR(Entry(serial.Value(), 12U, 12U), 80.0, 1.0e-12); } TEST(SparseAssembly, AssemblesFourNodeTwentyFourDofKernelAndPreservesDiagonalSlots) { auto domain = fesa::Domain::Create( MakeShellDefinition(fesa::ShellSourceElementType::kS4)); ASSERT_TRUE(domain.HasValue()); auto model = fesa::AnalysisModel::Create(domain.Value()); ASSERT_TRUE(model.HasValue()); auto dofs = fesa::DofManager::Create(model.Value()); ASSERT_TRUE(dofs.HasValue()); fesa::SerialParallelFor serial_executor; auto assembled = fesa::SparseAssembler::AssembleStiffness( model.Value(), dofs.Value(), serial_executor); auto expected = DirectShellStiffness(domain.Value(), 0U); ASSERT_TRUE(assembled.HasValue()); ASSERT_TRUE(expected.HasValue()); EXPECT_EQ(assembled.Value().Rows(), 24U); EXPECT_EQ(assembled.Value().Columns(), 24U); EXPECT_EQ(assembled.Value().Values().size(), 24U * 24U); EXPECT_EQ(assembled.Value().RowOffsets(), dofs.Value().GetSparsePattern().row_offsets); EXPECT_EQ(assembled.Value().ColumnIndices(), dofs.Value().GetSparsePattern().column_indices); for (std::size_t row = 0U; row < 24U; ++row) { const auto begin = assembled.Value().ColumnIndices().begin() + assembled.Value().RowOffsets()[row]; const auto end = assembled.Value().ColumnIndices().begin() + assembled.Value().RowOffsets()[row + 1U]; EXPECT_NE(std::lower_bound(begin, end, row), end); for (std::size_t column = 0U; column < 24U; ++column) { EXPECT_DOUBLE_EQ(Entry(assembled.Value(), row, column), expected.Value().stabilized_global24(row, column)); } } } TEST(SparseAssembly, ShellSerialTbbReverseAndRepeatedRunsAreByteIdentical) { fesa::SerialParallelFor serial_executor; fesa::TbbParallelFor tbb_executor; ReverseParallelFor reverse_executor; auto serial = AssembleShell(fesa::ShellSourceElementType::kS4, serial_executor, true); auto tbb = AssembleShell(fesa::ShellSourceElementType::kS4, tbb_executor, true); auto reversed = AssembleShell(fesa::ShellSourceElementType::kS4, reverse_executor, true); ASSERT_TRUE(serial.HasValue()); ASSERT_TRUE(tbb.HasValue()); ASSERT_TRUE(reversed.HasValue()); EXPECT_EQ(reverse_executor.Calls(), 1U); EXPECT_EQ(reverse_executor.ObservedCount(), 2U); ExpectByteIdentical(tbb.Value(), serial.Value()); ExpectByteIdentical(reversed.Value(), serial.Value()); for (std::size_t repetition = 0U; repetition < 8U; ++repetition) { auto repeated = AssembleShell(fesa::ShellSourceElementType::kS4, tbb_executor, true); ASSERT_TRUE(repeated.HasValue()); ExpectByteIdentical(repeated.Value(), serial.Value()); } } TEST(SparseAssembly, S4AndS4rSemanticFixturesAssembleIdenticalStiffness) { fesa::SerialParallelFor serial_executor; auto s4 = AssembleShell(fesa::ShellSourceElementType::kS4, serial_executor); auto s4r = AssembleShell(fesa::ShellSourceElementType::kS4r, serial_executor); ASSERT_TRUE(s4.HasValue()); ASSERT_TRUE(s4r.HasValue()); EXPECT_TRUE(std::any_of(s4.Value().Values().begin(), s4.Value().Values().end(), [](const double value) { return value != 0.0; })); ExpectByteIdentical(s4r.Value(), s4.Value()); } } // namespace