feat(linear-static-mitc4-shell): step 6 - shell-dof-scatter
This commit is contained in:
@@ -38,6 +38,8 @@ public:
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std::optional<std::size_t> freeEquation(std::size_t fullDof) const;
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const std::array<std::size_t, 12>& elementScatter(
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EntityIndex element) const;
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const std::array<std::size_t, 24>& shellElementScatter(
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EntityIndex element) const;
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const std::vector<std::size_t>& freeDofs() const noexcept;
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const std::vector<std::size_t>& constrainedDofs() const noexcept;
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const Vector& prescribedValues() const noexcept;
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@@ -48,6 +50,7 @@ private:
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std::size_t fullDofCount,
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std::vector<std::optional<std::size_t>> freeEquations,
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std::vector<std::array<std::size_t, 12>> elementScatters,
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std::vector<std::array<std::size_t, 24>> shellElementScatters,
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std::vector<std::size_t> freeDofs,
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std::vector<std::size_t> constrainedDofs,
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Vector prescribedValues,
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@@ -56,6 +59,7 @@ private:
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std::size_t fullDofCount_;
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std::vector<std::optional<std::size_t>> freeEquations_;
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std::vector<std::array<std::size_t, 12>> elementScatters_;
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std::vector<std::array<std::size_t, 24>> shellElementScatters_;
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std::vector<std::size_t> freeDofs_;
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std::vector<std::size_t> constrainedDofs_;
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Vector prescribedValues_;
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@@ -54,17 +54,28 @@ std::vector<EntityIndex> expandBoundaryTarget(
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return {};
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}
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template <std::size_t scatterSize>
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void appendScatter(
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std::vector<std::vector<std::size_t>>& columnsByRow,
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const std::array<std::size_t, scatterSize>& scatter) {
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for (const std::size_t row : scatter) {
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auto& columns = columnsByRow[row];
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columns.insert(columns.end(), scatter.begin(), scatter.end());
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}
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}
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SparsePattern buildSparsePattern(
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std::size_t fullDofCount,
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const std::vector<EntityIndex>& activeElements,
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const std::vector<std::array<std::size_t, 12>>& elementScatters) {
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const std::vector<std::array<std::size_t, 12>>& elementScatters,
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const std::vector<std::array<std::size_t, 24>>& shellElementScatters) {
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std::vector<std::vector<std::size_t>> columnsByRow(fullDofCount);
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for (const EntityIndex element : activeElements) {
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const auto& scatter = elementScatters.at(element);
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for (const std::size_t row : scatter) {
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auto& columns = columnsByRow[row];
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columns.insert(columns.end(), scatter.begin(), scatter.end());
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}
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appendScatter(columnsByRow, elementScatters.at(element));
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}
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// Every shell in the approved single-step shell subset is active.
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for (const auto& scatter : shellElementScatters) {
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appendScatter(columnsByRow, scatter);
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}
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SparsePattern pattern;
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@@ -152,12 +163,36 @@ Result<DofManager> DofManager::create(const AnalysisModel& model) {
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}
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}
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std::vector<std::array<std::size_t, 24>> shellElementScatters(
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domain.shellElements().size());
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for (std::size_t elementIndex = 0U;
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elementIndex < domain.shellElements().size();
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++elementIndex) {
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const auto& element = domain.shellElements()[elementIndex];
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auto& scatter = shellElementScatters[elementIndex];
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for (std::size_t nodePosition = 0U;
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nodePosition < element.nodeIndices.size();
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++nodePosition) {
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const std::size_t node = element.nodeIndices[nodePosition];
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for (std::size_t component = 0U;
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component < dofsPerNode;
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++component) {
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scatter[nodePosition * dofsPerNode + component] =
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node * dofsPerNode + component;
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}
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}
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}
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auto pattern = buildSparsePattern(
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fullCount, model.activeElements(), elementScatters);
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fullCount,
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model.activeElements(),
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elementScatters,
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shellElementScatters);
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return Result<DofManager>::success(DofManager{
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fullCount,
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std::move(freeEquations),
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std::move(elementScatters),
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std::move(shellElementScatters),
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std::move(freeDofs),
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std::move(constrainedDofs),
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std::move(prescribedValues),
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@@ -195,6 +230,11 @@ const std::array<std::size_t, 12>& DofManager::elementScatter(
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return elementScatters_.at(element);
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}
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const std::array<std::size_t, 24>& DofManager::shellElementScatter(
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EntityIndex element) const {
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return shellElementScatters_.at(element);
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}
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const std::vector<std::size_t>& DofManager::freeDofs() const noexcept {
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return freeDofs_;
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}
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@@ -215,6 +255,7 @@ DofManager::DofManager(
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std::size_t fullDofCount,
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std::vector<std::optional<std::size_t>> freeEquations,
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std::vector<std::array<std::size_t, 12>> elementScatters,
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std::vector<std::array<std::size_t, 24>> shellElementScatters,
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std::vector<std::size_t> freeDofs,
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std::vector<std::size_t> constrainedDofs,
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Vector prescribedValues,
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@@ -222,6 +263,7 @@ DofManager::DofManager(
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: fullDofCount_{fullDofCount},
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freeEquations_{std::move(freeEquations)},
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elementScatters_{std::move(elementScatters)},
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shellElementScatters_{std::move(shellElementScatters)},
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freeDofs_{std::move(freeDofs)},
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constrainedDofs_{std::move(constrainedDofs)},
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prescribedValues_{std::move(prescribedValues)},
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@@ -42,6 +42,47 @@ fesa::DofManager makeDofs(
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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::BoundaryCondition> 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.sourcePath = source;
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definition.sourceContentIdentity = "fnv1a64:8877665544332211";
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definition.nodes = {
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{{"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 = {
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{"Material", 1000.0, 0.25, {source, 6U}}};
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definition.shellSections = {
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{"ShellSection", 0.1, 0U, {source, 7U}}};
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definition.shellElements = {{
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{"Shell-1", 1, "1"},
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fesa::ShellSourceElementType::s4,
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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 = {{
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"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(
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const std::size_t rows,
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const std::size_t columns,
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@@ -172,6 +213,73 @@ TEST(EssentialConstraints, HandlesNoAllAndMixedConstraints) {
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expectShape(mixed.value().kcc, 2U, 2U);
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}
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// MITC4-DOF-003
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TEST(EssentialConstraints, PreservesShellSizedNoMixedAndAllConstraintRoundTrips) {
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const auto full = makeMatrix(24U, 24U, sequentialDense(24U));
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const auto noConstraints = makeShellSizedDofs({});
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auto none = fesa::EssentialConstraints::partition(full, noConstraints);
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ASSERT_TRUE(none.hasValue());
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expectShape(none.value().kff, 24U, 24U);
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expectShape(none.value().kfc, 24U, 0U);
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expectShape(none.value().kcf, 0U, 24U);
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expectShape(none.value().kcc, 0U, 0U);
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const auto mixedConstraints = makeShellSizedDofs({
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{"1", 1, 6, 0.0, {{}, 12U}},
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{"4", 2, 2, 2.5, {{}, 13U}}});
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auto mixed = fesa::EssentialConstraints::partition(full, mixedConstraints);
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ASSERT_TRUE(mixed.hasValue());
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expectShape(mixed.value().kff, 17U, 17U);
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expectShape(mixed.value().kfc, 17U, 7U);
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expectShape(mixed.value().kcf, 7U, 17U);
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expectShape(mixed.value().kcc, 7U, 7U);
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fesa::Vector mixedFull{24U};
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for (std::size_t index = 0U; index < mixedFull.size(); ++index) {
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mixedFull[index] = static_cast<double>(index) + 0.5;
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}
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for (std::size_t index = 0U;
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index < mixedConstraints.constrainedDofCount();
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++index) {
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mixedFull[mixedConstraints.constrainedDofs()[index]] =
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mixedConstraints.prescribedValues()[index];
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}
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const auto mixedFree =
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fesa::EssentialConstraints::gatherFree(mixedFull, mixedConstraints);
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const auto mixedReconstructed =
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fesa::EssentialConstraints::reconstructFull(
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mixedFree, mixedConstraints.prescribedValues(), mixedConstraints);
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ASSERT_EQ(mixedReconstructed.size(), mixedFull.size());
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for (std::size_t index = 0U; index < mixedFull.size(); ++index) {
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EXPECT_DOUBLE_EQ(mixedReconstructed[index], mixedFull[index]);
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}
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const auto allConstraints = makeShellSizedDofs({
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{"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 = fesa::EssentialConstraints::partition(full, allConstraints);
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ASSERT_TRUE(all.hasValue());
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expectShape(all.value().kff, 0U, 0U);
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expectShape(all.value().kfc, 0U, 24U);
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expectShape(all.value().kcf, 24U, 0U);
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expectShape(all.value().kcc, 24U, 24U);
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const auto allReconstructed =
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fesa::EssentialConstraints::reconstructFull(
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fesa::Vector{0U},
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allConstraints.prescribedValues(),
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allConstraints);
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ASSERT_EQ(allReconstructed.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(allReconstructed[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 auto dofs = makeDofs({
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{"1", 2, 2, 2.5, {{}, 12U}},
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@@ -46,6 +46,32 @@ fesa::ModelDefinition makeDefinition() {
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return definition;
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}
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fesa::ModelDefinition makeShellDefinition() {
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const std::filesystem::path source{"models/shell-dof-manager.inp"};
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fesa::ModelDefinition definition{};
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definition.sourcePath = source;
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definition.sourceContentIdentity = "fnv1a64:1122334455667788";
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definition.nodes = {
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{{"Shell-1", 10, "10"}, {0.0, 0.0, 0.0}, {source, 10U}},
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{{"Shell-1", 20, "20"}, {1.0, 0.0, 0.0}, {source, 11U}},
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{{"Shell-1", 30, "30"}, {1.0, 1.0, 0.0}, {source, 12U}},
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{{"Shell-1", 40, "40"}, {0.0, 1.0, 0.0}, {source, 13U}}};
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definition.materials = {
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{"Material", 1000.0, 0.25, {source, 20U}}};
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definition.shellSections = {
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{"ShellSection", 0.1, 0U, {source, 30U}}};
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definition.shellElements = {{
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{"Shell-1", 100, "100"},
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fesa::ShellSourceElementType::s4,
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{2U, 0U, 3U, 1U},
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0U,
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0U,
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{source, 40U}}};
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definition.steps = {{
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"Step-1", {}, {}, 0.1, 1.0, 0.01, 1.0, {source, 50U}}};
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return definition;
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}
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struct DofFixture {
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fesa::DofManager dofs;
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};
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@@ -161,6 +187,42 @@ TEST(DofManager, BuildsTwelveDofScatterAndSortedUniquePattern) {
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}
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}
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// MITC4-DOF-001
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TEST(DofManager, BuildsShellScatterInSourceNodeAndComponentOrder) {
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const auto fixture = makeDofFixture(makeShellDefinition());
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const auto& dofs = fixture.dofs;
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EXPECT_EQ(dofs.fullDofCount(), 24U);
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EXPECT_EQ(
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dofs.shellElementScatter(0U),
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(std::array<std::size_t, 24>{
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12U, 13U, 14U, 15U, 16U, 17U,
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0U, 1U, 2U, 3U, 4U, 5U,
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18U, 19U, 20U, 21U, 22U, 23U,
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6U, 7U, 8U, 9U, 10U, 11U}));
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}
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// MITC4-DOF-002
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TEST(DofManager, IncludesShellConnectivityInSortedUniqueSparsePattern) {
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const auto fixture = makeDofFixture(makeShellDefinition());
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const auto& dofs = fixture.dofs;
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const auto& pattern = dofs.sparsePattern();
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ASSERT_EQ(pattern.rowOffsets.size(), 25U);
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ASSERT_EQ(pattern.columnIndices.size(), 24U * 24U);
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for (std::size_t row = 0U; row < dofs.fullDofCount(); ++row) {
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EXPECT_EQ(pattern.rowOffsets[row], row * 24U);
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EXPECT_EQ(pattern.rowOffsets[row + 1U], (row + 1U) * 24U);
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const auto columns = rowColumns(pattern, row);
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ASSERT_EQ(columns.size(), 24U);
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for (std::size_t column = 0U; column < columns.size(); ++column) {
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EXPECT_EQ(columns[column], column);
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}
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EXPECT_TRUE(std::binary_search(columns.begin(), columns.end(), row));
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EXPECT_EQ(std::adjacent_find(columns.begin(), columns.end()), columns.end());
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}
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}
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TEST(DofManager, ReconstructsFullReducedRoundTrip) {
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const auto fixture = makeDofFixture();
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const auto& dofs = fixture.dofs;
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