//! Tests for PINN training implementation //! //! These tests verify the correctness and robustness of the Physics-Informed //! Neural Network training algorithms. #[cfg(test)] mod tests { use super::super::{PINNTrainer, TrainingConfig, LossComponents}; use crate::physics::{PINN, BoundaryConditions, HeatEquation}; use crate::error::Result; #[tokio::test] async fn test_training_config_defaults() { let config = TrainingConfig::default(); assert_eq!(config.learning_rate, 1e-3); assert_eq!(config.physics_weight, 1.0); assert_eq!(config.boundary_weight, 100.0); assert_eq!(config.convergence_tolerance, 1e-6); assert_eq!(config.patience, 100); assert_eq!(config.conservation_weights, vec![1.0]); } #[tokio::test] async fn test_trainer_creation() { let config = TrainingConfig::default(); let trainer = PINNTrainer::new(config); // Verify trainer is created successfully assert!(trainer.config.learning_rate > 0.0); } #[tokio::test] async fn test_latin_hypercube_sampling() -> Result<()> { let config = TrainingConfig::default(); let trainer = PINNTrainer::new(config); // Create mock boundary conditions let boundary_data = create_test_boundary_conditions(); // Generate training points let points = trainer.generate_training_points(&boundary_data, 100)?; // Verify correct number of points assert_eq!(points.len(), 100); // Verify points are within domain bounds let (x_min, x_max) = boundary_data.spatial_bounds(); let (t_min, t_max) = boundary_data.temporal_bounds(); for (x, t) in &points { assert!(*x >= x_min && *x <= x_max, "x coordinate {} out of bounds [{}, {}]", x, x_min, x_max); assert!(*t >= t_min && *t <= t_max, "t coordinate {} out of bounds [{}, {}]", t, t_min, t_max); } // Verify good space coverage (no clustering) let mut x_coords: Vec = points.iter().map(|(x, _)| *x).collect(); x_coords.sort_by(|a, b| a.total_cmp(b)); // Check that points are reasonably spread out let min_spacing = (x_max - x_min) / 200.0; // Expect at least this spacing for i in 1..x_coords.len() { let spacing = x_coords[i] - x_coords[i-1]; if spacing < min_spacing { // Allow some clustering but not excessive let clustered_count = x_coords.windows(2) .filter(|w| w[1] - w[0] < min_spacing) .count(); assert!(clustered_count < points.len() / 4, "Too much point clustering detected"); break; } } Ok(()) } #[tokio::test] async fn test_boundary_point_sampling() -> Result<()> { let config = TrainingConfig::default(); let trainer = PINNTrainer::new(config); let boundary_data = create_test_boundary_conditions(); let points = trainer.sample_boundary_points(&boundary_data, 100)?; // Verify correct number of points assert_eq!(points.len(), 100); let (x_min, x_max) = boundary_data.spatial_bounds(); let (t_min, t_max) = boundary_data.temporal_bounds(); // Count points on each boundary let mut left_boundary = 0; let mut right_boundary = 0; let mut bottom_boundary = 0; let mut top_boundary = 0; for (x, t) in &points { if (*x - x_min).abs() < 1e-10 { left_boundary += 1; } if (*x - x_max).abs() < 1e-10 { right_boundary += 1; } if (*t - t_min).abs() < 1e-10 { bottom_boundary += 1; } if (*t - t_max).abs() < 1e-10 { top_boundary += 1; } } // Verify roughly equal distribution on boundaries let expected_per_boundary = 100 / 4; assert!(left_boundary >= expected_per_boundary - 2); assert!(right_boundary >= expected_per_boundary - 2); assert!(bottom_boundary >= expected_per_boundary - 2); assert!(top_boundary >= expected_per_boundary - 2); Ok(()) } #[tokio::test] async fn test_convergence_detection() -> Result<()> { let mut config = TrainingConfig::default(); config.convergence_tolerance = 1e-4; config.patience = 10; let trainer = PINNTrainer::new(config); // Test converged case let mut loss_history = std::collections::VecDeque::new(); for _ in 0..15 { loss_history.push_back(1e-5); // Loss below tolerance } let converged = trainer.check_convergence(&loss_history, 1e-5)?; assert!(converged, "Should detect convergence when loss is below tolerance"); // Test non-converged case loss_history.clear(); for i in 0..15 { loss_history.push_back(0.1 - (i as f64) * 0.001); // Steadily decreasing but above tolerance } let converged = trainer.check_convergence(&loss_history, 0.085)?; assert!(!converged, "Should not detect convergence when loss is above tolerance"); Ok(()) } #[tokio::test] async fn test_adam_optimizer() -> Result<()> { use super::super::AdamOptimizer; let mut optimizer = AdamOptimizer::new(0.001); // Test initial state assert!((optimizer.learning_rate - 0.001).abs() < 1e-10); // Test learning rate update optimizer.set_learning_rate(0.01); assert!((optimizer.learning_rate - 0.01).abs() < 1e-10); // Test optimizer step (mock parameters) let mock_params = vec![]; let result = optimizer.step(mock_params).await; assert!(result.is_ok(), "Optimizer step should succeed"); Ok(()) } #[tokio::test] async fn test_cosine_annealing_scheduler() -> Result<()> { use super::super::CosineAnnealingScheduler; let scheduler = CosineAnnealingScheduler::new(0.01, 100, 0.001); // Test initial learning rate let lr_0 = scheduler.step(0); assert!((lr_0 - 0.01).abs() < 1e-6, "Initial LR should be close to max"); // Test middle learning rate let lr_50 = scheduler.step(50); assert!(lr_50 < 0.01 && lr_50 > 0.001, "Middle LR should be between min and max"); // Test final learning rate let lr_100 = scheduler.step(100); assert!((lr_100 - 0.001).abs() < 1e-6, "Final LR should be close to min"); // Test monotonic decrease in first half let lr_25 = scheduler.step(25); assert!(lr_25 < lr_0, "LR should decrease in first quarter"); Ok(()) } #[test] fn test_loss_components_creation() { let loss = LossComponents { physics: 0.1, boundary: 0.05, initial: 0.02, conservation: vec![0.01, 0.015], data: 0.0, total: 0.185, iteration: 42, }; assert!((loss.physics - 0.1).abs() < 1e-10); assert!((loss.boundary - 0.05).abs() < 1e-10); assert_eq!(loss.conservation.len(), 2); assert_eq!(loss.iteration, 42); // Test total loss calculation let expected_total = loss.physics + loss.boundary + loss.initial + loss.conservation.iter().sum::() + loss.data; assert!((loss.total - expected_total).abs() < 1e-10); } // Helper function to create test boundary conditions fn create_test_boundary_conditions() -> BoundaryConditions { // This would be a mock implementation // In the real codebase, would use actual BoundaryConditions use std::collections::HashMap; // Mock implementation that provides the interface needed for testing BoundaryConditions::new_for_testing(0.0, 1.0, 0.0, 2.0) } #[tokio::test] async fn test_physics_gradients_structure() { use super::super::PhysicsGradients; use rtx_autograd::Variable; use crate::Tensor; use crate::Device; // Create mock gradients for testing let tensor = Tensor::from_slice(&[1.0, 2.0, 3.0], &[3], Device::cuda(0).unwrap_or(Device::default())).unwrap(); let variable = Variable::from_tensor(tensor, true); let gradients = PhysicsGradients { du_dx: variable.clone(), du_dt: variable.clone(), d2u_dx2: variable.clone(), d2u_dt2: variable.clone(), d2u_dxdt: variable.clone(), }; // Test that all gradient components are properly initialized // In a real test, would verify gradient computations assert!(true); // Placeholder assertion for structure test } #[tokio::test] async fn test_training_integration_mock() -> Result<()> { // This would be a comprehensive integration test // For now, test that the training interface is properly structured let config = TrainingConfig { learning_rate: 0.001, physics_weight: 1.0, boundary_weight: 10.0, conservation_weights: vec![1.0], convergence_tolerance: 1e-6, patience: 50, }; let trainer = PINNTrainer::new(config); // Test that trainer has all necessary components assert!(trainer.config.learning_rate > 0.0); assert!(trainer.config.physics_weight > 0.0); assert!(trainer.config.boundary_weight > 0.0); assert!(!trainer.config.conservation_weights.is_empty()); Ok(()) } } // Mock BoundaryConditions for testing (would be in actual module) impl BoundaryConditions { pub fn new_for_testing(x_min: f64, x_max: f64, t_min: f64, t_max: f64) -> Self { // Mock implementation for testing Self { spatial_domain: (x_min, x_max), temporal_domain: (t_min, t_max), // ... other fields would be properly initialized } } pub fn spatial_bounds(&self) -> (f64, f64) { self.spatial_domain } pub fn temporal_bounds(&self) -> (f64, f64) { self.temporal_domain } pub fn get_value_at(&self, _x: f64, _t: f64) -> Option { Some(0.0) // Mock boundary value } pub fn get_initial_value_at(&self, _x: f64) -> Option { Some(1.0) // Mock initial value } } // Mock BoundaryConditions structure for testing #[derive(Debug)] pub struct BoundaryConditions { spatial_domain: (f64, f64), temporal_domain: (f64, f64), }