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FESADev/tests/unit/fem/dof_manager_test.cpp
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#include "fesa/fem/dof_manager.hpp"
#include <gtest/gtest.h>
#include <algorithm>
#include <array>
#include <filesystem>
#include <optional>
#include <utility>
#include <vector>
namespace {
fesa::ModelDefinition makeDefinition() {
const std::filesystem::path source{"models/dof-manager.inp"};
fesa::ModelDefinition definition{};
definition.source_path = source;
definition.source_content_identity = "fnv1a64:0123456789abcdef";
definition.nodes = {
{{"Beam-1", 10, "10"}, {0.0, 0.0, 0.0}, {source, 10U}},
{{"Beam-1", 20, "20"}, {1.0, 0.0, 0.0}, {source, 11U}},
{{"Beam-1", 30, "30"}, {2.0, 0.0, 0.0}, {source, 12U}}};
definition.materials = {
{"Material", 1000.0, 0.25, {source, 20U}}};
definition.sections = {{
"Section", 1.0, 1.0, 0.0, 1.0, 1.0,
{0.0, 1.0, 0.0}, {}, {source, 30U}}};
definition.elements = {
{{"Beam-1", 100, "100"}, {0U, 1U}, 0U, 0U, {source, 40U}},
{{"Beam-1", 200, "200"}, {1U, 2U}, 0U, 0U, {source, 41U}}};
definition.node_sets = {
{"Root", std::optional<std::string>{"Beam-1"}, {0U}, {source, 50U}},
{"Ends", std::optional<std::string>{"Beam-1"}, {0U, 2U}, {source, 51U}}};
definition.steps = {{
"Step-1",
{{"Root", 1, 2, 0.0, {source, 60U}},
{"ends", 3, 3, 0.25, {source, 61U}},
{"20", 6, 6, -0.5, {source, 62U}},
{"Root", 1, 1, 0.0, {source, 63U}}},
{},
0.1,
1.0,
0.01,
1.0,
{source, 59U}}};
return definition;
}
fesa::ModelDefinition makeShellDefinition() {
const std::filesystem::path source{"models/shell-dof-manager.inp"};
fesa::ModelDefinition definition{};
definition.source_path = source;
definition.source_content_identity = "fnv1a64:1122334455667788";
definition.nodes = {
{{"Shell-1", 10, "10"}, {0.0, 0.0, 0.0}, {source, 10U}},
{{"Shell-1", 20, "20"}, {1.0, 0.0, 0.0}, {source, 11U}},
{{"Shell-1", 30, "30"}, {1.0, 1.0, 0.0}, {source, 12U}},
{{"Shell-1", 40, "40"}, {0.0, 1.0, 0.0}, {source, 13U}}};
definition.materials = {
{"Material", 1000.0, 0.25, {source, 20U}}};
definition.shell_sections = {
{"ShellSection", 0.1, 0U, {source, 30U}}};
definition.shell_elements = {{
{"Shell-1", 100, "100"},
fesa::ShellSourceElementType::kS4,
{2U, 0U, 3U, 1U},
0U,
0U,
{source, 40U}}};
definition.steps = {{
"Step-1", {}, {}, 0.1, 1.0, 0.01, 1.0, {source, 50U}}};
return definition;
}
struct DofFixture {
fesa::DofManager dofs;
};
DofFixture makeDofFixture(fesa::ModelDefinition definition = makeDefinition()) {
auto domain = fesa::Domain::Create(std::move(definition));
EXPECT_TRUE(domain.HasValue());
auto model = fesa::AnalysisModel::create(domain.Value());
EXPECT_TRUE(model.HasValue());
auto dofs = fesa::DofManager::create(model.Value());
EXPECT_TRUE(dofs.HasValue());
return {std::move(dofs.Value())};
}
std::vector<std::size_t> rowColumns(
const fesa::SparsePattern& pattern, std::size_t row) {
return {
pattern.columnIndices.begin() + pattern.rowOffsets[row],
pattern.columnIndices.begin() + pattern.rowOffsets[row + 1U]};
}
} // namespace
TEST(DofManager, NumbersSixDofsAndFreeEquationsStably) {
const auto fixture = makeDofFixture();
const auto& dofs = fixture.dofs;
EXPECT_EQ(dofs.fullDofCount(), 18U);
EXPECT_EQ(dofs.freeDofCount(), 13U);
EXPECT_EQ(dofs.constrainedDofCount(), 5U);
EXPECT_EQ(dofs.fullDof(0U, fesa::DofComponent::ux), 0U);
EXPECT_EQ(dofs.fullDof(0U, fesa::DofComponent::urz), 5U);
EXPECT_EQ(dofs.fullDof(1U, fesa::DofComponent::ux), 6U);
EXPECT_EQ(dofs.fullDof(2U, fesa::DofComponent::urz), 17U);
EXPECT_EQ(
dofs.freeDofs(),
(std::vector<std::size_t>{
3U, 4U, 5U, 6U, 7U, 8U, 9U, 10U, 12U, 13U, 15U, 16U, 17U}));
EXPECT_EQ(
dofs.constrainedDofs(),
(std::vector<std::size_t>{0U, 1U, 2U, 11U, 14U}));
EXPECT_EQ(dofs.freeEquation(0U), std::nullopt);
EXPECT_EQ(dofs.freeEquation(3U), std::optional<std::size_t>{0U});
EXPECT_EQ(dofs.freeEquation(10U), std::optional<std::size_t>{7U});
EXPECT_EQ(dofs.freeEquation(17U), std::optional<std::size_t>{12U});
}
TEST(DofManager, ExpandsAndValidatesPrescribedValues) {
const auto fixture = makeDofFixture();
const auto& values = fixture.dofs.prescribedValues();
ASSERT_EQ(values.Size(), 5U);
EXPECT_DOUBLE_EQ(values[0], 0.0);
EXPECT_DOUBLE_EQ(values[1], 0.0);
EXPECT_DOUBLE_EQ(values[2], 0.25);
EXPECT_DOUBLE_EQ(values[3], -0.5);
EXPECT_DOUBLE_EQ(values[4], 0.25);
auto conflictingDefinition = makeDefinition();
conflictingDefinition.steps[0].boundaries.push_back(
{"root", 1, 1, 1.0, {conflictingDefinition.source_path, 77U}});
auto domain = fesa::Domain::Create(std::move(conflictingDefinition));
ASSERT_TRUE(domain.HasValue());
auto model = fesa::AnalysisModel::create(domain.Value());
ASSERT_TRUE(model.HasValue());
auto conflict = fesa::DofManager::create(model.Value());
ASSERT_FALSE(conflict.HasValue());
EXPECT_EQ(conflict.GetStatus().Category(), fesa::FailureCategory::kInput);
ASSERT_EQ(conflict.GetStatus().Diagnostics().size(), 1U);
const auto& diagnostic = conflict.GetStatus().Diagnostics()[0];
EXPECT_EQ(diagnostic.code, "conflicting-boundary-condition");
EXPECT_EQ(diagnostic.keyword, "BOUNDARY");
EXPECT_EQ(diagnostic.entity_identity, "root");
EXPECT_EQ(diagnostic.location.file, std::filesystem::path{"models/dof-manager.inp"});
EXPECT_EQ(diagnostic.location.line, 77U);
}
TEST(DofManager, BuildsTwelveDofScatterAndSortedUniquePattern) {
const auto fixture = makeDofFixture();
const auto& dofs = fixture.dofs;
EXPECT_EQ(
dofs.elementScatter(0U),
(std::array<std::size_t, 12>{
0U, 1U, 2U, 3U, 4U, 5U, 6U, 7U, 8U, 9U, 10U, 11U}));
EXPECT_EQ(
dofs.elementScatter(1U),
(std::array<std::size_t, 12>{
6U, 7U, 8U, 9U, 10U, 11U,
12U, 13U, 14U, 15U, 16U, 17U}));
const auto& pattern = dofs.sparsePattern();
EXPECT_EQ(
pattern.rowOffsets,
(std::vector<std::size_t>{
0U, 12U, 24U, 36U, 48U, 60U, 72U,
90U, 108U, 126U, 144U, 162U, 180U,
192U, 204U, 216U, 228U, 240U, 252U}));
const std::vector<std::size_t> firstBlock{
0U, 1U, 2U, 3U, 4U, 5U, 6U, 7U, 8U, 9U, 10U, 11U};
const std::vector<std::size_t> sharedBlock{
0U, 1U, 2U, 3U, 4U, 5U, 6U, 7U, 8U,
9U, 10U, 11U, 12U, 13U, 14U, 15U, 16U, 17U};
const std::vector<std::size_t> lastBlock{
6U, 7U, 8U, 9U, 10U, 11U, 12U, 13U, 14U, 15U, 16U, 17U};
EXPECT_EQ(rowColumns(pattern, 0U), firstBlock);
EXPECT_EQ(rowColumns(pattern, 7U), sharedBlock);
EXPECT_EQ(rowColumns(pattern, 17U), lastBlock);
for (std::size_t row = 0U; row < dofs.fullDofCount(); ++row) {
const auto columns = rowColumns(pattern, row);
EXPECT_TRUE(std::is_sorted(columns.begin(), columns.end()));
EXPECT_EQ(std::adjacent_find(columns.begin(), columns.end()), columns.end());
}
}
// MITC4-DOF-001
TEST(DofManager, BuildsShellScatterInSourceNodeAndComponentOrder) {
const auto fixture = makeDofFixture(makeShellDefinition());
const auto& dofs = fixture.dofs;
EXPECT_EQ(dofs.fullDofCount(), 24U);
EXPECT_EQ(
dofs.shellElementScatter(0U),
(std::array<std::size_t, 24>{
12U, 13U, 14U, 15U, 16U, 17U,
0U, 1U, 2U, 3U, 4U, 5U,
18U, 19U, 20U, 21U, 22U, 23U,
6U, 7U, 8U, 9U, 10U, 11U}));
}
// MITC4-DOF-002
TEST(DofManager, IncludesShellConnectivityInSortedUniqueSparsePattern) {
const auto fixture = makeDofFixture(makeShellDefinition());
const auto& dofs = fixture.dofs;
const auto& pattern = dofs.sparsePattern();
ASSERT_EQ(pattern.rowOffsets.size(), 25U);
ASSERT_EQ(pattern.columnIndices.size(), 24U * 24U);
for (std::size_t row = 0U; row < dofs.fullDofCount(); ++row) {
EXPECT_EQ(pattern.rowOffsets[row], row * 24U);
EXPECT_EQ(pattern.rowOffsets[row + 1U], (row + 1U) * 24U);
const auto columns = rowColumns(pattern, row);
ASSERT_EQ(columns.size(), 24U);
for (std::size_t column = 0U; column < columns.size(); ++column) {
EXPECT_EQ(columns[column], column);
}
EXPECT_TRUE(std::binary_search(columns.begin(), columns.end(), row));
EXPECT_EQ(std::adjacent_find(columns.begin(), columns.end()), columns.end());
}
}
TEST(DofManager, ReconstructsFullReducedRoundTrip) {
const auto fixture = makeDofFixture();
const auto& dofs = fixture.dofs;
fesa::Vector full{dofs.fullDofCount()};
for (std::size_t index = 0U; index < full.Size(); ++index) {
full[index] = static_cast<double>(index) + 0.5;
}
for (std::size_t index = 0U; index < dofs.constrainedDofCount(); ++index) {
full[dofs.constrainedDofs()[index]] = dofs.prescribedValues()[index];
}
fesa::Vector reduced{dofs.freeDofCount()};
for (std::size_t equation = 0U; equation < reduced.Size(); ++equation) {
reduced[equation] = full[dofs.freeDofs()[equation]];
}
fesa::Vector reconstructed{dofs.fullDofCount()};
for (std::size_t equation = 0U; equation < reduced.Size(); ++equation) {
reconstructed[dofs.freeDofs()[equation]] = reduced[equation];
}
for (std::size_t index = 0U; index < dofs.constrainedDofCount(); ++index) {
reconstructed[dofs.constrainedDofs()[index]] = dofs.prescribedValues()[index];
}
ASSERT_EQ(reconstructed.Size(), full.Size());
for (std::size_t index = 0U; index < full.Size(); ++index) {
EXPECT_DOUBLE_EQ(reconstructed[index], full[index]);
}
}