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//! Comprehensive tests for DiagonalMatrix mathematical properties and optimizations
//!
//! Tests verify that diagonal matrix operations maintain perfect mathematical accuracy
//! and leverage O(n) memory optimizations.
#[cfg(test)]
mod tests {
use crate::core::expression::Expression;
use crate::matrices::operations::MatrixOperations;
/// Test diagonal matrix creation and basic properties
#[test]
fn test_diagonal_matrix_creation() {
let diag = Expression::diagonal_matrix(vec![
Expression::integer(2),
Expression::integer(3),
Expression::integer(5),
]);
// Test dimensions
assert_eq!(diag.matrix_dimensions(), Some((3, 3)));
assert!(diag.is_matrix());
// Test diagonal property
assert!(diag.is_diagonal());
assert!(!diag.is_identity_matrix());
assert!(!diag.is_zero_matrix());
}
/// Test diagonal matrix addition optimizations
#[test]
fn test_diagonal_matrix_addition() {
let diag1 = Expression::diagonal_matrix(vec![
Expression::integer(1),
Expression::integer(2),
Expression::integer(3),
]);
let diag2 = Expression::diagonal_matrix(vec![
Expression::integer(4),
Expression::integer(5),
Expression::integer(6),
]);
// D1 + D2 should be diagonal with element-wise addition
let result = diag1.matrix_add(&diag2);
let expected = Expression::diagonal_matrix(vec![
Expression::integer(5), // 1 + 4
Expression::integer(7), // 2 + 5
Expression::integer(9), // 3 + 6
]);
assert_eq!(result, expected);
assert!(result.is_diagonal());
}
/// Test diagonal matrix + identity matrix optimization
#[test]
fn test_diagonal_plus_identity() {
let diag = Expression::diagonal_matrix(vec![
Expression::integer(2),
Expression::integer(3),
Expression::integer(4),
]);
let identity = Expression::identity_matrix(3);
// D + I should add 1 to each diagonal element
let result = diag.matrix_add(&identity);
let expected = Expression::diagonal_matrix(vec![
Expression::integer(3), // 2 + 1
Expression::integer(4), // 3 + 1
Expression::integer(5), // 4 + 1
]);
assert_eq!(result, expected);
assert!(result.is_diagonal());
// Test commutativity: I + D = D + I
let result2 = identity.matrix_add(&diag);
assert_eq!(result, result2);
}
/// Test diagonal matrix optimization from dense matrix
#[test]
fn test_diagonal_matrix_optimization() {
// Create a dense matrix that is actually diagonal
let dense = Expression::matrix(vec![
vec![
Expression::integer(2),
Expression::integer(0),
Expression::integer(0),
],
vec![
Expression::integer(0),
Expression::integer(3),
Expression::integer(0),
],
vec![
Expression::integer(0),
Expression::integer(0),
Expression::integer(4),
],
]);
// Should be optimized to diagonal matrix
let optimized = dense;
let expected = Expression::diagonal_matrix(vec![
Expression::integer(2),
Expression::integer(3),
Expression::integer(4),
]);
assert_eq!(optimized, expected);
assert!(optimized.is_diagonal());
}
/// Test diagonal matrix with zero elements
#[test]
fn test_diagonal_matrix_with_zeros() {
let diag = Expression::diagonal_matrix(vec![
Expression::integer(2),
Expression::integer(0), // Zero on diagonal
Expression::integer(3),
]);
// Should remain diagonal (not optimized to zero matrix)
assert!(diag.is_diagonal());
assert!(!diag.is_zero_matrix());
// Determinant should be zero (has zero on diagonal)
let det = diag.matrix_determinant();
assert_eq!(det, Expression::integer(0));
// Trace should be sum including zero
let trace = diag.matrix_trace();
assert_eq!(trace, Expression::integer(5)); // 2 + 0 + 3
}
}