const std = @import("std");

pub fn cross(v1: anytype, v2: anytype) @typeInfo(@TypeOf(v1, v2)).Vector.child {
	const multipled = v1 * v2;
	const vector_info = @typeInfo(@TypeOf(v1)).Vector;
	var result = multipled[0];
	comptime var index = @as(usize, 1);

	inline while (index < vector_info.len) : (index += 1) {
		result -= multipled[index];
	}

	return result;
}

pub fn distance(v1: anytype, v2: anytype) @typeInfo(@TypeOf(v1, v2)).Vector.child {
	return length(v1 - v2);
}

pub fn dot(v1: anytype, v2: anytype) @typeInfo(@TypeOf(v1, v2)).Vector.child {
	const multipled = v1 * v2;
	const vector_info = @typeInfo(@TypeOf(v1)).Vector;
	var result = multipled[0];
	comptime var index = @as(usize, 1);

	inline while (index < vector_info.len) : (index += 1) {
		result += multipled[index];
	}

	return result;
}

pub fn length(v: anytype) @typeInfo(@TypeOf(v)).Vector.child {
	return @sqrt(length_squared(v));
}

pub fn length_squared(v: anytype) @typeInfo(@TypeOf(v)).Vector.child {
	return dot(v, v);
}

pub fn normal(v: anytype) @TypeOf(v) {
	const ls = length_squared(v);
	const Vector = @TypeOf(v);

	if (ls > std.math.floatEps(@typeInfo(Vector).Vector.child)) {
		return v / @as(Vector, @splat(@sqrt(ls)));
	}

	return v;
}