// A vector in linear algebra is define as "anything that can be added
// and that can be multiplied by a scalar"
// And the associated function dot that calculates the dot product
// between two vectors
// let vector = Vector(vec![0,3, 4]);
// let vector_1 = Vector(vec![0,3,3]);
// vector.dot(&vector_1) == Some(23);

// The dot product between two vectors of different length it's not defined

use lalgebra_vector::Vector;

fn main() {
	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![4, -2, -1]);
	println!("{:?}", vector_1.dot(&vector_2));
	println!("{:?}", vector_1 + &vector_2);
}

#[test]
fn dot_product() {
	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![4, -2, -1]);
	let expected: i64 = 3;
	assert_eq!(vector_1.dot(&vector_2), Some(expected));

	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![4, -2]);
	assert_eq!(vector_1.dot(&vector_2), None);
}

#[test]
fn addition() {
	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![4, -2, -1]);
	assert_eq!(vector_1 + &vector_2, Some(Vector(vec![5i64, 1, -6])));

	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![2, 4, -2, -1]);
	assert_eq!(None, vector_1 + &vector_2);
}