pub const vec = @Vector(3, f32);

pub fn init(x: f32, y: f32, z: f32) vec {
    return @Vector(3, f32){ x, y, z };
}

pub fn scalar(x: f32) vec {
    return @splat(3, x);
}

pub fn unit_vector(v: vec) vec {
    return v / scalar(length(v));
}

pub fn length_squared(v: vec) f32 {
    return v[0] * v[0] + v[1] * v[1] + v[2] * v[2];
}

pub fn length(v: vec) f32 {
    return @sqrt(length_squared(v));
}

pub fn dot(x: vec, y: vec) f32 {
    return x[0] * y[0] + x[1] * y[1] + x[2] * y[2];
}