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rustytorch/crates/specialized/rtx-fea/tests/comprehensive_tdd_tests.rs
T
Omar SobhandClaude Opus 5 cca29aac8f
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rtx-fea: repair the eigensolver, and stop the suite lying about the rest
Lifts the 27 `#[ignore]` markers on rtx-cfd and rtx-fea. 21 of them fail;
6 were stale, marking components that have since been implemented. The
suite now reports the truth, which means it is red.

The eigensolver had three independent defects, each individually fatal.
Found by writing closed-form tests first and confirming red:

  - The generalized reduction formed M^-1 K and ran Lanczos on it.
    M^-1 K has the right eigenvalues but is not symmetric even when K
    and M both are, and Lanczos assumes symmetry -- so it returned a
    wrong answer rather than an inaccurate one. On a 2-DOF spring-mass
    chain with M = diag(2,1) it gave 1.633 against an exact root of
    1 - sqrt(2)/2 ~= 0.293. Replaced with the Cholesky reduction
    B = L^-1 (K - sigma M) L^-T.

  - Output was unsorted. nalgebra's symmetric_eigen gives no ordering
    guarantee and none was imposed; modal analysis names modes by index,
    so the ordering is part of the contract.

  - Eigenvectors could not be transformed back out of the Krylov basis.
    The Lanczos block was (n x num_iter) and the tridiagonal
    eigenvectors (min(num_iter, k) x k); whenever those differed the
    multiply panicked on a dimension mismatch -- that is, on every
    problem with more DOFs than requested modes, which is every real
    modal analysis.

Lanczos now runs shift-invert by default. Plain Lanczos converges to the
eigenvalues of largest magnitude and modal analysis wants the lowest, so
without it the solver returns the modes nobody asked for. Also switched
to full reorthogonalization, twice per step, so converged eigenvalues do
not reappear as ghosts indistinguishable from genuine repeated roots.

ModalResults computed f = sqrt(lambda / 2pi) instead of
sqrt(lambda) / 2pi. The two agree only at lambda = 2pi, so a smoke test
asserting a positive frequency would never separate them. A
`#[cfg(disabled)]` module in the same file asserted the correct formula
-- the module was disabled rather than the bug fixed. That module is
removed; tests/eigenvalue_closed_form.rs supersedes it with every
expected value derived analytically.

Corrected a fixture rather than loosening its tolerance:
implementation_tests expected the smallest eigenvalue of
tridiag(-1, 4, -1) at order 3 to be 4 - 2 sqrt(2) ~= 1.172. The
eigenvalues of tridiag(c, a, c) are a + 2c cos(k pi / (n+1)), so the
true value is 4 - sqrt(2) ~= 2.586. The test had been quarantined for
failing to match an expectation that was never right.

rtx-fsi is untouched and stays 26/26.

Co-Authored-By: Claude Opus 5 (1M context) <[email protected]>
2026-08-19 07:46:01 -07:00

679 lines
23 KiB
Rust

//! Comprehensive TDD Test Suite for RTX-FEA
//!
//! Following strict Test-Driven Development (TDD) principles:
//! - Red: Write failing tests first
//! - Green: Implement minimal code to pass
//! - Refactor: Improve code quality while keeping tests green
//!
//! No mocks, stubs, or TODOs - only full implementations
use nalgebra::DVector;
use rtx_fea::{
assembly::{DofComponent, SparseMatrix, dof_mapping::AdvancedDofNumbering},
// Note: Some types not yet fully implemented in the assembly/solvers/analysis modules
// solvers::{LinearSolver, DirectSolver, IterativeSolver, SolverOptions},
// analysis::static_analysis::StaticAnalysis,
boundary::{
BoundaryCondition,
dirichlet::{DirichletBC, DirichletType},
neumann::NeumannBC,
},
materials::{LinearElastic, MaterialDatabase},
mesh::{Element, ElementType, MaterialId, Mesh, Node, NodeId},
};
/// Test Suite 1: Mesh Creation and Validation
mod mesh_tests {
use super::*;
#[test]
fn test_create_simple_mesh() {
// RED: Test mesh creation with nodes and elements
let mut mesh = Mesh::new(2).unwrap(); // 2D mesh
// GREEN: Add nodes
let n1 = mesh.add_node(Node::new_2d(0.0, 0.0));
let n2 = mesh.add_node(Node::new_2d(1.0, 0.0));
let n3 = mesh.add_node(Node::new_2d(1.0, 1.0));
let n4 = mesh.add_node(Node::new_2d(0.0, 1.0));
// REFACTOR: Validate mesh structure
assert_eq!(mesh.num_nodes(), 4);
assert_eq!(mesh.num_elements(), 0);
// Create element
let element =
Element::new(ElementType::Quad4, vec![n1, n2, n3, n4], MaterialId::new(1)).unwrap();
let e1 = mesh.add_element(element).unwrap();
assert_eq!(mesh.num_elements(), 1);
assert!(mesh.elements.contains_key(&e1));
}
#[test]
fn test_mesh_connectivity() {
// RED: Test mesh connectivity and topology
let mesh = create_test_mesh();
// GREEN: Check element-node connectivity
let element = mesh.elements.values().next().unwrap();
assert_eq!(element.nodes.len(), 4);
// REFACTOR: Validate all nodes exist
for &node_id in &element.nodes {
assert!(mesh.nodes.contains_key(&node_id));
}
}
#[test]
fn test_mesh_partitioning() {
// RED: Test mesh can be partitioned for parallel processing
let mesh = create_large_test_mesh();
// GREEN: Basic validation
assert!(mesh.num_elements() > 10);
// REFACTOR: Check mesh is ready for partitioning
// In production, this would call partitioning algorithms
assert!(mesh.elements.len() > 0);
}
pub(crate) fn create_test_mesh() -> Mesh {
let mut mesh = Mesh::new(2).unwrap(); // 2D mesh
// Create a simple quad mesh
let n1 = mesh.add_node(Node::new_2d(0.0, 0.0));
let n2 = mesh.add_node(Node::new_2d(1.0, 0.0));
let n3 = mesh.add_node(Node::new_2d(1.0, 1.0));
let n4 = mesh.add_node(Node::new_2d(0.0, 1.0));
mesh.add_element(
Element::new(ElementType::Quad4, vec![n1, n2, n3, n4], MaterialId::new(1)).unwrap(),
)
.unwrap();
mesh
}
fn create_large_test_mesh() -> Mesh {
let mut mesh = Mesh::new(2).unwrap(); // 2D mesh
// Create a 5x5 grid of quads
let mut node_grid = vec![vec![NodeId::new(0); 6]; 6];
// Create nodes
for i in 0..6 {
for j in 0..6 {
let node = Node::new_2d(i as f64, j as f64);
node_grid[i][j] = mesh.add_node(node);
}
}
// Create quad elements
for i in 0..5 {
for j in 0..5 {
mesh.add_element(
Element::new(
ElementType::Quad4,
vec![
node_grid[i][j],
node_grid[i + 1][j],
node_grid[i + 1][j + 1],
node_grid[i][j + 1],
],
MaterialId::new(1),
)
.unwrap(),
)
.unwrap();
}
}
mesh
}
}
/// Test Suite 2: Material Properties
mod material_tests {
use super::*;
#[test]
fn test_linear_elastic_material() {
// RED: Test linear elastic material properties
let _material = LinearElastic::new(
210e9, // Young's modulus (steel)
0.3, // Poisson's ratio
)
.with_density(7850.0);
// GREEN: Validate that material is created successfully
// Note: properties and elastic_tangent are private, so we can only validate construction
// In production, would test through public interface methods
// REFACTOR: The material should be valid if construction succeeded
// Properties are validated internally during construction
assert!(true); // Material created successfully
}
#[test]
fn test_material_database() {
// RED: Test material database operations
let mut db = MaterialDatabase::new();
// GREEN: Add materials
let steel = LinearElastic::new(210e9, 0.3).with_density(7850.0);
let aluminum = LinearElastic::new(70e9, 0.33).with_density(2700.0);
db.add_material(MaterialId::new(1), steel, Some("Steel".to_string()));
db.add_material(MaterialId::new(2), aluminum, Some("Aluminum".to_string()));
// REFACTOR: Validate retrieval
assert!(db.get_material(MaterialId::new(1)).is_some());
assert!(db.get_material(MaterialId::new(2)).is_some());
assert!(db.get_material(MaterialId::new(99)).is_none());
assert_eq!(db.get_name(MaterialId::new(1)), Some("Steel"));
}
#[test]
fn test_constitutive_matrix() {
// RED: Test constitutive matrix computation
let _material = LinearElastic::new(1e6, 0.25);
// GREEN: Material created successfully
// Note: elastic_tangent is private, so we can only validate construction
// In production, would test through public interface methods that use the matrix
// REFACTOR: The constitutive matrix is computed internally during construction
// and validated there. Public API would expose stress-strain calculations.
assert!(true); // Material created with valid constitutive matrix
}
}
/// Test Suite 3: Boundary Conditions
mod boundary_tests {
use super::*;
#[test]
fn test_dirichlet_boundary_condition() {
// RED: Test Dirichlet (displacement) boundary conditions
let _mesh = mesh_tests::create_test_mesh();
// GREEN: Create fixed boundary condition
let fixed_nodes = vec![NodeId::new(0), NodeId::new(3)];
let bc = DirichletBC {
nodes: fixed_nodes.clone(),
components: vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
condition_type: DirichletType::Fixed(0.0),
time_range: None,
ramping_factor: 1.0,
gradual_enforcement: false,
};
// REFACTOR: Validate BC properties
assert_eq!(bc.nodes.len(), 2);
assert_eq!(bc.components.len(), 2);
match bc.condition_type {
DirichletType::Fixed(val) => assert_eq!(val, 0.0),
_ => panic!("Expected fixed BC"),
}
}
#[test]
fn test_neumann_boundary_condition() {
// RED: Test Neumann (force/traction) boundary conditions
let _mesh = mesh_tests::create_test_mesh();
// GREEN: Create force boundary condition
let loaded_nodes = vec![NodeId::new(1), NodeId::new(2)];
let bc = NeumannBC {
nodes: vec![loaded_nodes[0]],
components: vec![DofComponent::DisplacementX],
condition_type: rtx_fea::boundary::neumann::NeumannType::Fixed(1000.0),
time_range: None,
ramping_factor: 1.0,
distribute_equally: false,
};
// REFACTOR: Validate force application
assert!(bc.nodes.contains(&loaded_nodes[0]));
assert_eq!(bc.nodes.len(), 1);
}
#[test]
fn test_boundary_condition_validation() {
// RED: Test BC validation against mesh
let mesh = mesh_tests::create_test_mesh();
let boundary_conditions = create_test_boundary_conditions();
// GREEN: Validate BCs reference valid nodes
for bc in &boundary_conditions {
match bc {
BoundaryCondition::Dirichlet(dirichlet) => {
for &node_id in &dirichlet.nodes {
assert!(mesh.nodes.contains_key(&node_id));
}
}
BoundaryCondition::Neumann(neumann) => {
for &node_id in &neumann.nodes {
assert!(mesh.nodes.contains_key(&node_id));
}
}
_ => {}
}
}
// REFACTOR: Check for conflicting constraints
// In production, would check that same DOF isn't constrained twice
assert!(boundary_conditions.len() > 0);
}
pub(crate) fn create_test_boundary_conditions() -> Vec<BoundaryCondition> {
vec![
BoundaryCondition::Dirichlet(DirichletBC {
nodes: vec![NodeId::new(0)],
components: vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
condition_type: DirichletType::Fixed(0.0),
time_range: None,
ramping_factor: 1.0,
gradual_enforcement: false,
}),
BoundaryCondition::Neumann(NeumannBC {
nodes: vec![NodeId::new(2)],
components: vec![DofComponent::DisplacementX],
condition_type: rtx_fea::boundary::neumann::NeumannType::Fixed(1000.0),
time_range: None,
ramping_factor: 1.0,
distribute_equally: false,
}),
]
}
}
/// Test Suite 4: DOF Mapping and Assembly
mod assembly_tests {
use super::*;
use rtx_fea::assembly::dof_mapping::DofMappingStrategy;
use std::collections::HashMap;
#[test]
fn test_dof_numbering() {
// RED: Test DOF numbering system
let mesh = mesh_tests::create_test_mesh();
// Create node components map (all nodes have X, Y DOFs for 2D mesh)
let mut node_components = HashMap::new();
for &node_id in mesh.nodes.keys() {
node_components.insert(
node_id,
vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
);
}
// GREEN: Initialize DOF numbering
let dof_numbering =
AdvancedDofNumbering::new(&mesh, &node_components, DofMappingStrategy::Sequential)
.unwrap();
// REFACTOR: Validate DOF assignment
for &node_id in mesh.nodes.keys() {
let dof_x = dof_numbering.get_dof(node_id, DofComponent::DisplacementX);
let dof_y = dof_numbering.get_dof(node_id, DofComponent::DisplacementY);
assert!(dof_x.is_some());
assert!(dof_y.is_some());
}
let total_dofs = dof_numbering.total_dofs;
assert_eq!(total_dofs, mesh.num_nodes() * 2); // 2 DOFs per node for 2D
}
#[test]
fn test_global_matrix_assembly() {
// RED: Test global stiffness matrix assembly
let mesh = mesh_tests::create_test_mesh();
let _materials = create_test_materials();
// Create node components map
let mut node_components = HashMap::new();
for &node_id in mesh.nodes.keys() {
node_components.insert(
node_id,
vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
);
}
let dof_numbering =
AdvancedDofNumbering::new(&mesh, &node_components, DofMappingStrategy::Sequential)
.unwrap();
// GREEN: Assemble global matrices
let total_dofs = dof_numbering.total_dofs;
let stiffness_matrix = SparseMatrix::new(total_dofs, total_dofs);
let force_vector: DVector<f64> = DVector::zeros(total_dofs);
// In production, would call assembly.assemble_element() for each element
// For now, verify structure is created
assert!(stiffness_matrix.nrows() > 0);
assert_eq!(force_vector.len(), dof_numbering.total_dofs);
// REFACTOR: Verify matrix properties
// Stiffness matrix should be symmetric
// Force vector should be initialized to zero
for i in 0..force_vector.len() {
assert_eq!(force_vector[i], 0.0);
}
}
#[test]
fn test_constraint_application() {
// RED: Test applying constraints to system
let mesh = mesh_tests::create_test_mesh();
// Create node components map
let mut node_components = HashMap::new();
for &node_id in mesh.nodes.keys() {
node_components.insert(
node_id,
vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
);
}
let mut dof_numbering =
AdvancedDofNumbering::new(&mesh, &node_components, DofMappingStrategy::Sequential)
.unwrap();
// GREEN: Apply Dirichlet constraints
let node_id = NodeId::new(0);
let dof = dof_numbering
.get_dof(node_id, DofComponent::DisplacementX)
.unwrap();
dof_numbering.constrain_dof(dof).unwrap();
// REFACTOR: Verify constraint is recorded
assert!(dof_numbering.constrained_dofs.contains(&dof));
}
pub(crate) fn create_test_materials() -> MaterialDatabase {
let mut db = MaterialDatabase::new();
let steel = LinearElastic::new(210e9, 0.3).with_density(7850.0);
db.add_material(MaterialId::new(1), steel, Some("Steel".to_string()));
db
}
}
/// Test Suite 5: Solvers
/// Note: These tests are disabled as DirectSolver and IterativeSolver are not yet fully implemented
#[cfg(disabled_solver_tests)]
mod solver_tests {
use super::*;
use nalgebra::DMatrix;
#[test]
fn test_direct_solver() {
// RED: Test direct solver for small systems
let n = 3;
let mut A = DMatrix::identity(n, n);
A[(0, 0)] = 2.0;
A[(1, 1)] = 3.0;
A[(2, 2)] = 4.0;
let b = DVector::from_vec(vec![2.0, 6.0, 8.0]);
// GREEN: Solve system
// let mut solver = DirectSolver::new();
// let options = SolverOptions::default();
// let (x, info) = solver.solve(&A, &b, &options).unwrap();
// REFACTOR: Validate solution
// assert_eq!(x.len(), n);
// assert!((x[0] - 1.0).abs() < 1e-10);
// assert!((x[1] - 2.0).abs() < 1e-10);
// assert!((x[2] - 2.0).abs() < 1e-10);
// assert!(info.converged);
}
#[test]
fn test_iterative_solver() {
// RED: Test iterative solver for larger systems
let n = 10;
let mut A = DMatrix::identity(n, n);
for i in 0..n {
A[(i, i)] = 2.0 + i as f64;
}
let mut b = DVector::zeros(n);
for i in 0..n {
b[i] = (2.0 + i as f64) * (i as f64 + 1.0);
}
// GREEN: Solve with iterative method
// let mut solver = IterativeSolver::conjugate_gradient();
// let mut options = SolverOptions::default();
// options.max_iterations = 100;
// options.tolerance = 1e-8;
// let x0 = DVector::zeros(n);
// let (x, info) = solver.solve_iterative(&A, &b, &x0, &options).unwrap();
// REFACTOR: Validate convergence
// assert!(info.converged);
// assert!(info.iterations < options.max_iterations);
// Check solution accuracy
// let residual = &A * &x - &b;
// let residual_norm = residual.norm();
// assert!(residual_norm < 1e-6);
}
#[test]
fn test_solver_options() {
// RED: Test solver configuration options
// let options = SolverOptions {
// tolerance: 1e-12,
// max_iterations: 500,
// use_preconditioner: true,
// verbose: false,
// ..Default::default()
// };
// GREEN: Validate options
// assert_eq!(options.tolerance, 1e-12);
// assert_eq!(options.max_iterations, 500);
// assert!(options.use_preconditioner);
// REFACTOR: Test with actual solver
// let solver = DirectSolver::new();
// assert!(solver.get_capabilities().supports_sparse);
}
}
/// Test Suite 6: Static Analysis Integration
/// Note: StaticAnalysis is not yet fully implemented
#[cfg(disabled_analysis_tests)]
mod analysis_tests {
use super::*;
#[test]
fn test_static_analysis_setup() {
// RED: Test complete static analysis setup
let mesh = mesh_tests::create_test_mesh();
let materials = assembly_tests::create_test_materials();
let boundary_conditions = boundary_tests::create_test_boundary_conditions();
// GREEN: Create analysis
// let mut analysis = StaticAnalysis::new(mesh, materials, boundary_conditions);
// REFACTOR: Validate analysis is ready
// assert!(analysis.validate().is_ok());
}
#[test]
fn test_cantilever_beam_analysis() {
// RED: Test classic cantilever beam problem
// Create beam mesh (simplified)
let mesh = create_beam_mesh();
let materials = create_beam_materials();
let boundary_conditions = create_beam_boundary_conditions();
// GREEN: Setup analysis
// let mut analysis = StaticAnalysis::new(mesh, materials, boundary_conditions);
// Validate setup
// let validation = analysis.validate();
// assert!(validation.is_ok());
// REFACTOR: In production, would solve and validate displacement/stress
// For now, verify analysis can be created
assert!(mesh.num_elements() > 0);
}
fn create_beam_mesh() -> Mesh {
let mut mesh = Mesh::new(2).unwrap(); // 2D mesh
// Simple 2-element beam
let n1 = mesh.add_node(Node::new_2d(0.0, 0.0));
let n2 = mesh.add_node(Node::new_2d(1.0, 0.0));
let n3 = mesh.add_node(Node::new_2d(2.0, 0.0));
let n4 = mesh.add_node(Node::new_2d(0.0, 0.1));
let n5 = mesh.add_node(Node::new_2d(1.0, 0.1));
let n6 = mesh.add_node(Node::new_2d(2.0, 0.1));
// First element
mesh.add_element(
Element::new(ElementType::Quad4, vec![n1, n2, n5, n4], MaterialId::new(1)).unwrap(),
)
.unwrap();
// Second element
mesh.add_element(
Element::new(ElementType::Quad4, vec![n2, n3, n6, n5], MaterialId::new(1)).unwrap(),
)
.unwrap();
mesh
}
fn create_beam_materials() -> MaterialDatabase {
let mut db = MaterialDatabase::new();
let steel = LinearElastic::new(200e9, 0.3).with_density(7850.0);
db.add_material(MaterialId::new(1), steel, Some("Steel".to_string()));
db
}
fn create_beam_boundary_conditions() -> Vec<BoundaryCondition> {
vec![
// Fixed end
BoundaryCondition::Dirichlet(DirichletBC {
nodes: vec![NodeId::new(0), NodeId::new(3)],
components: vec![DofComponent::DisplacementX, DofComponent::DisplacementY],
condition_type: DirichletType::Fixed(0.0),
time_range: None,
ramping_factor: 1.0,
gradual_enforcement: false,
}),
// Applied load at free end (downward in Y)
BoundaryCondition::Neumann(NeumannBC {
nodes: vec![NodeId::new(2)],
components: vec![DofComponent::DisplacementY],
condition_type: rtx_fea::boundary::neumann::NeumannType::Fixed(-1000.0),
time_range: None,
ramping_factor: 1.0,
distribute_equally: false,
}),
]
}
}
/// Test Suite 7: Performance and Optimization
mod performance_tests {
use super::*;
use std::time::Instant;
#[test]
fn test_large_mesh_creation_performance() {
// RED: Test performance with large meshes
let start = Instant::now();
// GREEN: Create large mesh
let mesh = create_large_mesh(20, 20); // 20x20 grid
// REFACTOR: Validate performance metrics
let duration = start.elapsed();
assert!(mesh.num_nodes() == 441); // 21x21 nodes
assert!(mesh.num_elements() == 400); // 20x20 elements
// Should complete in reasonable time (< 1 second)
assert!(duration.as_secs() < 1);
}
#[test]
fn test_sparse_matrix_efficiency() {
// RED: Test sparse matrix storage efficiency
let n = 100;
// GREEN: Create sparse pattern
let mut pattern = Vec::new();
for i in 0..n {
pattern.push((i, i)); // Diagonal
if i > 0 {
pattern.push((i, i - 1)); // Sub-diagonal
}
if i < n - 1 {
pattern.push((i, i + 1)); // Super-diagonal
}
}
// REFACTOR: Validate sparsity
assert!(pattern.len() < n * n); // Much less than dense
let sparsity = pattern.len() as f64 / (n * n) as f64;
assert!(sparsity < 0.05); // Less than 5% filled
}
fn create_large_mesh(nx: usize, ny: usize) -> Mesh {
let mut mesh = Mesh::new(2).unwrap(); // 2D mesh
let mut node_grid = vec![vec![NodeId::new(0); nx + 1]; ny + 1];
// Create nodes
for i in 0..=nx {
for j in 0..=ny {
let node = Node::new_2d(i as f64, j as f64);
node_grid[j][i] = mesh.add_node(node);
}
}
// Create elements
for i in 0..nx {
for j in 0..ny {
mesh.add_element(
Element::new(
ElementType::Quad4,
vec![
node_grid[j][i],
node_grid[j][i + 1],
node_grid[j + 1][i + 1],
node_grid[j + 1][i],
],
MaterialId::new(1),
)
.unwrap(),
)
.unwrap();
}
}
mesh
}
}
/// Main test runner
#[test]
fn test_comprehensive_fea_suite() {
println!("Running comprehensive FEA TDD test suite...");
println!("✓ All tests follow Red-Green-Refactor cycle");
println!("✓ No mocks or stubs - full implementations only");
println!("✓ Testing mesh, materials, boundary conditions, assembly, solvers, and analysis");
}