// File: tests/symbolic\vector.rs
//
// Integration tests for the 'rssn' crate's public API in the symbolic::vector module.
//
// Goal: Ensure the public functions and types in this module behave correctly 
// when used from an external crate context.
//
// --- IMPORTANT FOR NEW CONTRIBUTORS ---
// 1. Standard Tests (`#[test]`): Use these for known inputs and simple assertions.
// 2. Property Tests (`proptest!`): Use these for invariants and edge cases.
//    Proptest runs the test with thousands of generated inputs.

use rssn::symbolic::vector; 
use proptest::prelude::*; 
use assert_approx_eq::assert_approx_eq; // A useful macro for numerical comparisons

// --- 1. Standard Unit/Integration Tests ---
#[test]
fn test_initial_conditions_or_edge_cases() {
    // Example: Test a function with input '0' or large, known values.
    // let result = symbolic::vector::some_function(42.0);
    // assert_approx_eq!(result, 1.0, 1e-6); 
}

#[test]
fn test_expected_error_behavior() {
    // Example: Test if a function correctly returns an error for invalid input (e.g., division by zero).
    // assert!(symbolic::vector::divide(1.0, 0.0).is_err());
}


// --- 2. Property-Based Tests (Proptest) ---
proptest! {
    #[test]
    fn prop_test_invariants_hold(
        // Define inputs using strategies (e.g., f64 in a specific range)
        a in any::<f64>(),
        b in -100.0..100.0f64, 
    ) {
        // INVARIANT 1: Test an operation and its inverse
        // let val = symbolic::vector::add(a, b);
        // assert_approx_eq!(symbolic::vector::subtract(val, b), a, 1e-9);

        // INVARIANT 2: Test basic property (e.g., matrix transpose twice is the original)
        // let matrix = symbolic::vector::create_random_matrix();
        // assert_eq!(matrix.transpose().transpose(), matrix);
    }
}
