feat: add assembly reduced solver boundary

This commit is contained in:
NINI
2026-05-04 23:35:41 +09:00
parent ebdb2519dc
commit d373969732
5 changed files with 328 additions and 22 deletions
+4 -4
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@@ -13,7 +13,7 @@ Every new agent session must read this file together with `PROGRESS.md` before p
- If an item becomes obsolete, move it to `PROGRESS.md` with a short reason instead of silently deleting it.
## Current Objective
Continue the new Phase 1 rebaseline plan in `phases/1-linear-static-mitc4-rebaseline`, starting with P1R-12 assembly, solver-adapter boundary, constrained solve, and full-vector RF recovery revalidation. The old `phases/1-linear-static-mitc4` path is historical and superseded by the paper-based MITC4 formulation reset.
Continue the new Phase 1 rebaseline plan in `phases/1-linear-static-mitc4-rebaseline`, starting with P1R-13 linear static workflow revalidation from input to `U`/`RF` result fields. The old `phases/1-linear-static-mitc4` path is historical and superseded by the paper-based MITC4 formulation reset.
## Required Reading For New Agents
1. `AGENTS.md`
@@ -36,7 +36,7 @@ Continue the new Phase 1 rebaseline plan in `phases/1-linear-static-mitc4-rebase
## Active Phase Files
- Active phase directory: `phases/1-linear-static-mitc4-rebaseline`
- Execute with: `python scripts/execute.py 1-linear-static-mitc4-rebaseline`
- Step numbering is zero-based. `step0.md` is complete and recorded in `phases/1-linear-static-mitc4-rebaseline/step0-audit.md`; `step1.md` is complete and created the `quad_02_phase1.inp` normalized reference path; `step2.md` is complete and revalidated core harness guardrails; `step3.md` is complete and revalidated the Phase 1 parser/domain subset; `step4.md` is complete and strengthened validation/singular diagnostics; `step5.md` is complete and revalidated the DofManager/reaction foundation; `step6.md` is complete and revalidated the minimum result model plus displacement CSV comparator; `step7.md` is complete and revalidated MITC4 natural coordinates, tying points, center directors, and integration bases; `step8.md` is complete and revalidated degenerated-continuum displacement, direct covariant strain rows, and MITC shear tying rows; `step9.md` is complete and revalidated plane-stress material, convected-to-local transform, and `2 x 2 x 2` material integration scaffolding; `step10.md` is complete and revalidated MITC4 stiffness, internal force, six-DOF transform, and drilling stabilization; `step11.md` is complete and added MITC4 membrane, bending, shear, twist, drilling-sensitivity, and thin-cantilever locking-sensitivity tests; `step15.md` is the independent evaluator closeout.
- Step numbering is zero-based. `step0.md` is complete and recorded in `phases/1-linear-static-mitc4-rebaseline/step0-audit.md`; `step1.md` is complete and created the `quad_02_phase1.inp` normalized reference path; `step2.md` is complete and revalidated core harness guardrails; `step3.md` is complete and revalidated the Phase 1 parser/domain subset; `step4.md` is complete and strengthened validation/singular diagnostics; `step5.md` is complete and revalidated the DofManager/reaction foundation; `step6.md` is complete and revalidated the minimum result model plus displacement CSV comparator; `step7.md` is complete and revalidated MITC4 natural coordinates, tying points, center directors, and integration bases; `step8.md` is complete and revalidated degenerated-continuum displacement, direct covariant strain rows, and MITC shear tying rows; `step9.md` is complete and revalidated plane-stress material, convected-to-local transform, and `2 x 2 x 2` material integration scaffolding; `step10.md` is complete and revalidated MITC4 stiffness, internal force, six-DOF transform, and drilling stabilization; `step11.md` is complete and added MITC4 membrane, bending, shear, twist, drilling-sensitivity, and thin-cantilever locking-sensitivity tests; `step12.md` is complete and revalidated full-space assembly, reduced projection, deterministic sparse-pattern scaffold, solver adapter injection, and full-vector internal/reaction force state; `step15.md` is the independent evaluator closeout.
- Every step file contains a sprint contract with objective, required reading, scope, allowed files, explicit non-goals, tests to write first, reference artifacts, acceptance command, evaluator checklist, and handoff requirements.
- Historical phase directory: `phases/1-linear-static-mitc4`
- Historical phase status: blocked/superseded. Do not resume the old P1-15/P1-16 path unless the user explicitly requests recovery of that exact phase.
@@ -75,7 +75,7 @@ Each gate should be satisfied before moving to the next implementation band unle
| G0 - Planning readiness | partial | Readiness task R-011 is resolved by `quad_02_phase1.inp`; R-010 and R-013 remain open. | Updated docs, PLAN.md, PROGRESS.md |
| G1 - Build and validation | satisfied | Build system, test framework, and `scripts/validate_workspace.py` run real checks. | Validation command output |
| G2 - Parser and domain | satisfied | Parser subset revalidated in step 3; validation and singular diagnostics revalidated in step 4. | Parser acceptance/rejection tests, validation negative tests, and validation output |
| G3 - DOF/math/results infrastructure | partial | Core aliases, DOF mapping, validation harness, model diagnostic context, DofManager, sparse-connectivity inputs, full-vector reaction formula, result model metadata, and displacement CSV comparator were revalidated in steps 2, 5, and 6; assembly remains for step 12. | P1R-02, P1R-05, and P1R-06 validation output |
| G3 - DOF/math/results infrastructure | satisfied | Core aliases, DOF mapping, validation harness, model diagnostic context, DofManager, sparse-connectivity inputs, full-vector reaction formula, result model metadata, displacement CSV comparator, full-space assembly, reduced projection, sparse-pattern scaffold, and solver adapter boundary were revalidated in steps 2, 5, 6, and 12. | P1R-02, P1R-05, P1R-06, and P1R-12 validation output |
| G4 - MITC4 element readiness | satisfied | MITC4 formulation was rewritten from local papers; Steps 7 through 11 rebuilt geometry/director/local-basis scaffolding, displacement interpolation, direct covariant strain rows, MITC shear tying rows, plane-stress material, convected-to-local transform, `2 x 2 x 2` material integration scaffolding, stiffness/internal force, six-DOF transform, drilling stabilization, and patch/locking-sensitivity tests. | P1R-07 through P1R-11 validation output |
| G5 - End-to-end solver | reopened | Linear static path must be revalidated through steps 13 and 14 after the MITC4 rebuild and `quad_02` compatibility path. | Future integration/reference regression output |
@@ -93,7 +93,7 @@ All milestones are intended to become one or more self-contained sprint contract
| P1R-09 | completed | MITC4 generator | Implement material matrix, transform, and `2 x 2 x 2` integration scaffolding. | P1R-08 | Material/integration tests |
| P1R-10 | completed | MITC4 generator | Assemble MITC4 stiffness/internal force with six-DOF transform and drilling stabilization. | P1R-09, P1R-05 | Symmetry, rigid body, drilling sensitivity tests |
| P1R-11 | completed | verification generator | Add MITC4 patch, locking-sensitivity, and benchmark tests. | P1R-10 | Membrane/bending/shear/twist/locking tests |
| P1R-12 | pending | assembly generator | Rebuild assembly, solver adapter boundary, constrained solve, and full-vector RF recovery. | P1R-05, P1R-10 | Assembly and full-vector reaction tests |
| P1R-12 | completed | assembly generator | Rebuild assembly, solver adapter boundary, constrained solve, and full-vector RF recovery. | P1R-05, P1R-10 | Assembly and full-vector reaction tests |
| P1R-13 | pending | analysis generator | Rebuild linear static workflow from input to U/RF result fields. | P1R-03, P1R-04, P1R-06, P1R-12 | End-to-end linear static tests |
| P1R-14 | pending | reference generator | Run stored reference displacement regression using accepted Phase 1-compatible S4 cases. | P1R-13 | At least one automated CSV displacement regression |
| P1R-15 | pending | evaluator | Independent Phase 1 evaluator closeout. | P1R-14 | Pass/fail report, synchronized PLAN/PROGRESS |
+29 -1
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@@ -13,10 +13,38 @@ Every new agent session must read this file together with `PLAN.md` before plann
- Do not remove history unless the user explicitly asks for archival cleanup.
## Current Status
Phase 1 has a new rebaseline phase definition in `phases/1-linear-static-mitc4-rebaseline`. Steps 0 through 11 are complete. `quad_02_phase1.inp` is now the normalized Phase 1-compatible input path for the stored `quad_02` S4 reference pair, while the original `quad_02.inp` remains preserved unsupported provenance. Core numeric aliases, DOF mapping, validation harness, model diagnostic context, the Phase 1 parser/domain subset, validation/singular diagnostics, DofManager/reaction foundation, minimum result model metadata, displacement CSV comparator foundation, MITC4 geometry/director scaffolding, MITC4 displacement/strain/tying row scaffolding, MITC4 material/transform/integration scaffolding, MITC4 stiffness/drilling/internal-force scaffolding, and MITC4 patch/locking-sensitivity tests have been revalidated. The old `phases/1-linear-static-mitc4` path is historical and superseded after the MITC4 formulation reset.
Phase 1 has a new rebaseline phase definition in `phases/1-linear-static-mitc4-rebaseline`. Steps 0 through 12 are complete. `quad_02_phase1.inp` is now the normalized Phase 1-compatible input path for the stored `quad_02` S4 reference pair, while the original `quad_02.inp` remains preserved unsupported provenance. Core numeric aliases, DOF mapping, validation harness, model diagnostic context, the Phase 1 parser/domain subset, validation/singular diagnostics, DofManager/reaction foundation, minimum result model metadata, displacement CSV comparator foundation, MITC4 geometry/director scaffolding, MITC4 displacement/strain/tying row scaffolding, MITC4 material/transform/integration scaffolding, MITC4 stiffness/drilling/internal-force scaffolding, MITC4 patch/locking-sensitivity tests, full-space assembly, reduced projection, sparse-pattern scaffold, solver adapter injection, and full-vector internal/reaction force state have been revalidated. The old `phases/1-linear-static-mitc4` path is historical and superseded after the MITC4 formulation reset.
## Completed Work
### 2026-05-04 - P1R-12 assembly sparse solver path completed
Author: Codex
Changed files:
- `include/fesa/fesa.hpp`
- `tests/test_main.cpp`
- `phases/1-linear-static-mitc4-rebaseline/index.json`
- `PLAN.md`
- `PROGRESS.md`
Summary:
- Added deterministic reduced sparse-pattern scaffolding from `DofManager` element equation connectivity, preserving int64 equation and nonzero counts for the future sparse/MKL path.
- Added `projectToReducedSystem()` so constrained/free projection is a named assembly boundary instead of being embedded directly inside `LinearStaticAnalysis`.
- Extended `AssemblyResult` to carry full-space stiffness, full external load, reduced sparse pattern, and diagnostics.
- Reworked assembly to call the rebuilt MITC4 stiffness result path directly and preserve full-space `K_full`/`F_full` for reaction recovery.
- Added solver injection to `LinearStaticAnalysis` so the deterministic Gaussian solver remains the default test adapter while future MKL-backed solvers stay behind the `LinearSolver` interface.
- Added `AnalysisState::f_internal_full` and verified `RF = Fint_full - Fext_full = K_full * U_full - F_full`.
- Added tests for deterministic sparse pattern ordering, reduced projection with known displacement, full-space assembly/load preservation, reduced residual satisfaction, solver adapter injection, and singular solver diagnostic propagation.
Verification:
- First ran `python scripts/validate_workspace.py` after adding Step 12 tests; it failed as expected because reduced sparse pattern, projection, solver injection, and `f_internal_full` did not exist yet.
- After implementation, `python scripts/validate_workspace.py` configured CMake, built `fesa_core` and `fesa_tests`, and ran CTest successfully.
- CTest result: 1 test executable passed.
Follow-up:
- Continue with P1R-13 linear static workflow revalidation from Phase 1 input through `U` and `RF` result fields.
- Step 12 intentionally did not add MKL/TBB APIs, stored Abaqus reference comparison, pressure loads, or a production sparse matrix storage backend.
### 2026-05-04 - P1R-11 MITC4 patch and benchmark tests completed
Author: Codex
+141 -16
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@@ -1083,6 +1083,52 @@ class DofManager {
std::vector<LocalIndex> constrained_full_indices_;
};
struct SparsePatternEntry {
EquationId row = 0;
EquationId col = 0;
};
struct SparsePattern {
EquationId equation_count = 0;
std::vector<SparsePatternEntry> entries;
SparseIndex nonzeroCount() const {
return static_cast<SparseIndex>(entries.size());
}
bool contains(EquationId row, EquationId col) const {
return std::any_of(entries.begin(), entries.end(), [&](const SparsePatternEntry& entry) {
return entry.row == row && entry.col == col;
});
}
};
inline SparsePattern buildReducedSparsePattern(const Domain& domain, const DofManager& dofs) {
SparsePattern pattern;
pattern.equation_count = dofs.freeDofCount();
std::set<std::pair<EquationId, EquationId>> ordered_entries;
for (const auto& [element_id, element] : domain.elements) {
(void)element_id;
const auto equations = dofs.elementEquationIds(element);
for (EquationId row : equations) {
if (row < 0) {
continue;
}
for (EquationId col : equations) {
if (col < 0) {
continue;
}
ordered_entries.insert({row, col});
}
}
}
pattern.entries.reserve(ordered_entries.size());
for (const auto& entry : ordered_entries) {
pattern.entries.push_back({entry.first, entry.second});
}
return pattern;
}
class DenseMatrix {
public:
DenseMatrix() = default;
@@ -2102,12 +2148,34 @@ class MITC4ElementKernel {
struct AssemblyResult {
DenseMatrix k_full;
std::vector<Real> f_full;
SparsePattern reduced_pattern;
std::vector<Diagnostic> diagnostics;
bool ok() const {
return !hasError(diagnostics);
}
};
struct ReducedSystem {
DenseMatrix k;
std::vector<Real> f;
std::vector<LocalIndex> free_full_indices;
std::vector<Diagnostic> diagnostics;
bool ok() const {
return !hasError(diagnostics);
}
};
inline AssemblyResult assembleSystem(const Domain& domain, const DofManager& dofs, ElementStiffnessOptions options = {}) {
AssemblyResult result{DenseMatrix(dofs.fullDofCount(), dofs.fullDofCount()), std::vector<Real>(static_cast<std::size_t>(dofs.fullDofCount()), 0.0), {}};
MITC4ElementKernel kernel;
AssemblyResult result;
result.k_full = DenseMatrix(dofs.fullDofCount(), dofs.fullDofCount());
result.f_full = std::vector<Real>(static_cast<std::size_t>(dofs.fullDofCount()), 0.0);
result.reduced_pattern = buildReducedSparsePattern(domain, dofs);
if (dofs.freeDofCount() > 0 && result.reduced_pattern.nonzeroCount() == 0) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-SINGULAR-SPARSE-PATTERN",
"Reduced sparse pattern has no stiffness entries", "assembly"));
}
for (const auto& [element_id, element] : domain.elements) {
const ShellSection* section = shellSectionForElement(domain, element_id);
if (section == nullptr) {
@@ -2123,19 +2191,63 @@ inline AssemblyResult assembleSystem(const Domain& domain, const DofManager& dof
for (std::size_t i = 0; i < 4; ++i) {
coordinates[i] = domain.nodes.at(element.node_ids[i]).coordinates;
}
DenseMatrix ke = kernel.stiffness(coordinates, material_it->second.elastic_modulus, material_it->second.poisson_ratio, section->thickness, options);
const auto stiffness = mitc4ElementStiffness(coordinates, material_it->second.elastic_modulus,
material_it->second.poisson_ratio, section->thickness, options);
result.diagnostics.insert(result.diagnostics.end(), stiffness.diagnostics.begin(), stiffness.diagnostics.end());
if (!stiffness.ok()) {
continue;
}
const auto element_full_indices = dofs.elementFullDofIndices(element);
for (LocalIndex a = 0; a < 24; ++a) {
const LocalIndex ia = element_full_indices[static_cast<std::size_t>(a)];
for (LocalIndex b = 0; b < 24; ++b) {
const LocalIndex ib = element_full_indices[static_cast<std::size_t>(b)];
result.k_full.add(ia, ib, ke(a, b));
result.k_full.add(ia, ib, stiffness.global(a, b));
}
}
}
for (const NodalLoad& load : domain.loads) {
const auto dof = dofFromAbaqus(load.dof);
if (!dof) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-ASSEMBLY-LOAD-DOF",
"Nodal load references an invalid DOF", "cload"));
continue;
}
for (GlobalId node_id : resolveNodeTarget(domain, load.target, &result.diagnostics)) {
result.f_full[static_cast<std::size_t>(dofs.fullIndex(node_id, *dofFromAbaqus(load.dof)))] += load.magnitude;
result.f_full[static_cast<std::size_t>(dofs.fullIndex(node_id, *dof))] += load.magnitude;
}
}
return result;
}
inline ReducedSystem projectToReducedSystem(const AssemblyResult& assembly, const DofManager& dofs) {
ReducedSystem result;
result.k = DenseMatrix(dofs.freeDofCount(), dofs.freeDofCount());
result.f = std::vector<Real>(static_cast<std::size_t>(dofs.freeDofCount()), 0.0);
result.free_full_indices = dofs.freeFullIndices();
if (assembly.k_full.rows() != assembly.k_full.cols() ||
assembly.k_full.rows() != dofs.fullDofCount() ||
static_cast<LocalIndex>(assembly.f_full.size()) != dofs.fullDofCount()) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-ASSEMBLY-SIZE",
"Full-space stiffness/load sizes do not match DofManager", "assembly"));
return result;
}
if (dofs.freeDofCount() == 0) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-SINGULAR-NO-FREE-DOFS",
"No free DOFs exist after applying constraints", "dof"));
return result;
}
if (assembly.reduced_pattern.equation_count != dofs.freeDofCount() || assembly.reduced_pattern.nonzeroCount() == 0) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-SINGULAR-SPARSE-PATTERN",
"Reduced sparse pattern is empty or inconsistent with free DOFs", "assembly"));
return result;
}
for (LocalIndex i = 0; i < dofs.freeDofCount(); ++i) {
const LocalIndex full_i = dofs.freeFullIndices()[static_cast<std::size_t>(i)];
result.f[static_cast<std::size_t>(i)] = assembly.f_full[static_cast<std::size_t>(full_i)];
for (LocalIndex j = 0; j < dofs.freeDofCount(); ++j) {
const LocalIndex full_j = dofs.freeFullIndices()[static_cast<std::size_t>(j)];
result.k(i, j) = assembly.k_full(full_i, full_j);
}
}
return result;
@@ -2237,6 +2349,7 @@ class InMemoryResultsWriter {
struct AnalysisState {
std::vector<Real> u_full;
std::vector<Real> f_external_full;
std::vector<Real> f_internal_full;
std::vector<Real> reaction_full;
bool converged = false;
};
@@ -2273,6 +2386,9 @@ class Analysis {
};
class LinearStaticAnalysis final : public Analysis {
public:
explicit LinearStaticAnalysis(const LinearSolver* solver = nullptr) : solver_(solver) {}
protected:
void solve(const Domain& domain, AnalysisResult& result) const override {
DofManager dofs(domain);
@@ -2286,30 +2402,39 @@ class LinearStaticAnalysis final : public Analysis {
if (hasError(result.diagnostics)) {
return;
}
DenseMatrix k_reduced(dofs.freeDofCount(), dofs.freeDofCount());
std::vector<Real> f_reduced(static_cast<std::size_t>(dofs.freeDofCount()), 0.0);
for (LocalIndex i = 0; i < dofs.freeDofCount(); ++i) {
const LocalIndex full_i = dofs.freeFullIndices()[static_cast<std::size_t>(i)];
f_reduced[static_cast<std::size_t>(i)] = assembly.f_full[static_cast<std::size_t>(full_i)];
for (LocalIndex j = 0; j < dofs.freeDofCount(); ++j) {
const LocalIndex full_j = dofs.freeFullIndices()[static_cast<std::size_t>(j)];
k_reduced(i, j) = assembly.k_full(full_i, full_j);
}
const auto reduced = projectToReducedSystem(assembly, dofs);
result.diagnostics.insert(result.diagnostics.end(), reduced.diagnostics.begin(), reduced.diagnostics.end());
if (hasError(result.diagnostics)) {
return;
}
GaussianEliminationSolver solver;
SolveResult solved = solver.solve(k_reduced, f_reduced);
const LinearSolver& active_solver = solver_ == nullptr ? defaultSolver() : *solver_;
SolveResult solved = active_solver.solve(reduced.k, reduced.f);
result.diagnostics.insert(result.diagnostics.end(), solved.diagnostics.begin(), solved.diagnostics.end());
if (!solved.ok()) {
return;
}
if (static_cast<LocalIndex>(solved.x.size()) != dofs.freeDofCount()) {
result.diagnostics.push_back(makeDiagnostic(Severity::Error, "FESA-SOLVER-SIZE",
"Linear solver returned a vector with the wrong size", "solver"));
return;
}
result.state.u_full = dofs.reconstructFullVector(solved.x);
result.state.f_external_full = assembly.f_full;
result.state.f_internal_full = assembly.k_full.multiply(result.state.u_full);
result.state.reaction_full = recoverFullReaction(assembly.k_full, result.state.u_full, result.state.f_external_full);
result.state.converged = true;
InMemoryResultsWriter writer;
writer.writeLinearStatic(domain, dofs, result.state.u_full, result.state.reaction_full);
result.result_file = writer.result();
}
private:
static const LinearSolver& defaultSolver() {
static const GaussianEliminationSolver solver;
return solver;
}
const LinearSolver* solver_ = nullptr;
};
struct CsvDisplacementRow {
@@ -14,7 +14,7 @@
{ "step": 9, "name": "mitc4-material-integration", "status": "completed" },
{ "step": 10, "name": "mitc4-stiffness-drilling", "status": "completed" },
{ "step": 11, "name": "mitc4-patch-benchmark-tests", "status": "completed" },
{ "step": 12, "name": "assembly-sparse-solver-path", "status": "pending" },
{ "step": 12, "name": "assembly-sparse-solver-path", "status": "completed" },
{ "step": 13, "name": "linear-static-workflow", "status": "pending" },
{ "step": 14, "name": "stored-reference-regression", "status": "pending" },
{ "step": 15, "name": "phase1-evaluator-closeout", "status": "pending" }
+153
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@@ -230,6 +230,33 @@ fesa::Real singleElementCantileverTipUz(fesa::Real thickness) {
return 0.5 * (node2_uz + node3_uz);
}
class RecordingSolver final : public fesa::LinearSolver {
public:
explicit RecordingSolver(std::vector<fesa::Real> solution) : solution_(std::move(solution)) {}
fesa::SolveResult solve(fesa::DenseMatrix a, std::vector<fesa::Real> b) const override {
called = true;
captured_a = std::move(a);
captured_b = std::move(b);
return {solution_, {}};
}
mutable bool called = false;
mutable fesa::DenseMatrix captured_a;
mutable std::vector<fesa::Real> captured_b;
private:
std::vector<fesa::Real> solution_;
};
class FailingSolver final : public fesa::LinearSolver {
public:
fesa::SolveResult solve(fesa::DenseMatrix, std::vector<fesa::Real>) const override {
return {{}, {fesa::makeDiagnostic(fesa::Severity::Error, "FESA-SINGULAR-SOLVER",
"Injected reduced system singularity", "solver")}};
}
};
fesa::Domain singleElementValidationDomain() {
fesa::Domain domain;
domain.nodes[1] = {1, {0, 0, 0}};
@@ -725,6 +752,96 @@ FESA_TEST(full_vector_reaction_recovery_uses_full_system_quantities) {
FESA_CHECK_NEAR(reaction[static_cast<std::size_t>(free_uz)], 8.0, 1.0e-15);
}
FESA_TEST(reduced_sparse_pattern_is_deterministic_for_phase1_connectivity) {
auto domain = parsedPhase1Domain();
fesa::DofManager dofs(domain);
const auto pattern = fesa::buildReducedSparsePattern(domain, dofs);
FESA_CHECK(pattern.equation_count == dofs.freeDofCount());
FESA_CHECK(pattern.nonzeroCount() == 4);
FESA_CHECK(pattern.contains(0, 0));
FESA_CHECK(pattern.contains(0, 1));
FESA_CHECK(pattern.contains(1, 0));
FESA_CHECK(pattern.contains(1, 1));
FESA_CHECK(pattern.entries[0].row == 0);
FESA_CHECK(pattern.entries[0].col == 0);
FESA_CHECK(pattern.entries[1].row == 0);
FESA_CHECK(pattern.entries[1].col == 1);
FESA_CHECK(pattern.entries[2].row == 1);
FESA_CHECK(pattern.entries[2].col == 0);
FESA_CHECK(pattern.entries[3].row == 1);
FESA_CHECK(pattern.entries[3].col == 1);
}
FESA_TEST(assembly_projection_uses_dof_manager_free_indices) {
auto domain = parsedPhase1Domain();
fesa::DofManager dofs(domain);
fesa::AssemblyResult assembly;
assembly.k_full = fesa::DenseMatrix(dofs.fullDofCount(), dofs.fullDofCount());
assembly.f_full = std::vector<fesa::Real>(static_cast<std::size_t>(dofs.fullDofCount()), 0.0);
assembly.reduced_pattern = fesa::buildReducedSparsePattern(domain, dofs);
const auto node2_uz = dofs.fullIndex(2, fesa::Dof::UZ);
const auto node3_uz = dofs.fullIndex(3, fesa::Dof::UZ);
const auto support_uz = dofs.fullIndex(1, fesa::Dof::UZ);
assembly.k_full(node2_uz, node2_uz) = 3.0;
assembly.k_full(node2_uz, node3_uz) = 1.0;
assembly.k_full(node3_uz, node2_uz) = 1.0;
assembly.k_full(node3_uz, node3_uz) = 2.0;
assembly.k_full(support_uz, node2_uz) = 7.0;
assembly.f_full[static_cast<std::size_t>(node2_uz)] = -1.0;
assembly.f_full[static_cast<std::size_t>(node3_uz)] = -2.0;
const auto reduced = fesa::projectToReducedSystem(assembly, dofs);
FESA_CHECK(reduced.ok());
FESA_CHECK(reduced.k.rows() == 2);
FESA_CHECK(reduced.k.cols() == 2);
FESA_CHECK(reduced.free_full_indices == dofs.freeFullIndices());
FESA_CHECK_NEAR(reduced.k(0, 0), 3.0, 1.0e-15);
FESA_CHECK_NEAR(reduced.k(0, 1), 1.0, 1.0e-15);
FESA_CHECK_NEAR(reduced.k(1, 0), 1.0, 1.0e-15);
FESA_CHECK_NEAR(reduced.k(1, 1), 2.0, 1.0e-15);
FESA_CHECK_NEAR(reduced.f[0], -1.0, 1.0e-15);
FESA_CHECK_NEAR(reduced.f[1], -2.0, 1.0e-15);
fesa::GaussianEliminationSolver solver;
const auto solved = solver.solve(reduced.k, reduced.f);
FESA_CHECK(solved.ok());
FESA_CHECK_NEAR(solved.x[0], 0.0, 1.0e-12);
FESA_CHECK_NEAR(solved.x[1], -1.0, 1.0e-12);
}
FESA_TEST(assembly_preserves_full_space_stiffness_load_and_reduced_pattern) {
auto domain = parsedPhase1Domain();
fesa::DofManager dofs(domain);
const auto assembly = fesa::assembleSystem(domain, dofs);
FESA_CHECK(!fesa::hasError(assembly.diagnostics));
FESA_CHECK(assembly.k_full.rows() == dofs.fullDofCount());
FESA_CHECK(assembly.k_full.cols() == dofs.fullDofCount());
FESA_CHECK(assembly.f_full.size() == static_cast<std::size_t>(dofs.fullDofCount()));
FESA_CHECK(assembly.reduced_pattern.equation_count == dofs.freeDofCount());
FESA_CHECK(assembly.reduced_pattern.nonzeroCount() == 4);
const auto node2_uz = dofs.fullIndex(2, fesa::Dof::UZ);
const auto node3_uz = dofs.fullIndex(3, fesa::Dof::UZ);
FESA_CHECK_NEAR(assembly.f_full[static_cast<std::size_t>(node2_uz)], -1.0, 1.0e-15);
FESA_CHECK_NEAR(assembly.f_full[static_cast<std::size_t>(node3_uz)], -1.0, 1.0e-15);
for (fesa::LocalIndex i = 0; i < assembly.k_full.rows(); ++i) {
for (fesa::LocalIndex j = 0; j < assembly.k_full.cols(); ++j) {
FESA_CHECK_NEAR(assembly.k_full(i, j), assembly.k_full(j, i), 1.0e-8);
}
}
const auto reduced = fesa::projectToReducedSystem(assembly, dofs);
FESA_CHECK(reduced.ok());
const auto solved = fesa::GaussianEliminationSolver{}.solve(reduced.k, reduced.f);
FESA_CHECK(solved.ok());
const auto residual = reduced.k.multiply(solved.x);
for (std::size_t i = 0; i < residual.size(); ++i) {
FESA_CHECK_NEAR(residual[i], reduced.f[i], 1.0e-8);
}
}
FESA_TEST(gaussian_solver_solves_and_diagnoses_singular_systems) {
fesa::DenseMatrix a(2, 2);
a(0, 0) = 2.0;
@@ -1573,6 +1690,9 @@ FESA_TEST(linear_static_analysis_solves_u_and_recovers_full_vector_rf) {
auto result = analysis.run(domain);
FESA_CHECK(result.ok());
FESA_CHECK(result.state.converged);
FESA_CHECK(result.state.f_internal_full.size() == result.state.u_full.size());
FESA_CHECK(result.state.f_external_full.size() == result.state.u_full.size());
FESA_CHECK(result.state.reaction_full.size() == result.state.u_full.size());
FESA_CHECK(result.result_file.steps.size() == 1);
const auto& frame = result.result_file.steps[0].frames[0];
FESA_CHECK(frame.field_outputs.count("U") == 1);
@@ -1585,6 +1705,39 @@ FESA_TEST(linear_static_analysis_solves_u_and_recovers_full_vector_rf) {
FESA_CHECK_NEAR(total_rf_z, 2.0, 1.0e-8);
}
FESA_TEST(linear_static_analysis_uses_solver_adapter_and_reconstructs_full_vectors) {
auto domain = parsedPhase1Domain();
RecordingSolver solver({0.25, -0.50});
fesa::LinearStaticAnalysis analysis(&solver);
const auto result = analysis.run(domain);
FESA_CHECK(result.ok());
FESA_CHECK(solver.called);
FESA_CHECK(solver.captured_a.rows() == 2);
FESA_CHECK(solver.captured_a.cols() == 2);
FESA_CHECK(solver.captured_b.size() == 2);
FESA_CHECK_NEAR(solver.captured_b[0], -1.0, 1.0e-15);
FESA_CHECK_NEAR(solver.captured_b[1], -1.0, 1.0e-15);
fesa::DofManager dofs(domain);
FESA_CHECK_NEAR(result.state.u_full[static_cast<std::size_t>(dofs.fullIndex(2, fesa::Dof::UZ))], 0.25, 1.0e-15);
FESA_CHECK_NEAR(result.state.u_full[static_cast<std::size_t>(dofs.fullIndex(3, fesa::Dof::UZ))], -0.50, 1.0e-15);
FESA_CHECK_NEAR(result.state.u_full[static_cast<std::size_t>(dofs.fullIndex(1, fesa::Dof::UZ))], 0.0, 1.0e-15);
for (std::size_t i = 0; i < result.state.reaction_full.size(); ++i) {
FESA_CHECK_NEAR(result.state.reaction_full[i],
result.state.f_internal_full[i] - result.state.f_external_full[i], 1.0e-10);
}
}
FESA_TEST(linear_static_analysis_propagates_solver_singular_diagnostic) {
auto domain = parsedPhase1Domain();
FailingSolver solver;
fesa::LinearStaticAnalysis analysis(&solver);
const auto result = analysis.run(domain);
FESA_CHECK(!result.ok());
FESA_CHECK(!result.state.converged);
FESA_CHECK(fesa::containsDiagnostic(result.diagnostics, "FESA-SINGULAR-SOLVER"));
}
int main() {
int failed = 0;
for (const auto& test : registry()) {