use vecmath;
use vecmath::mat2x3_inv as inv;
use vecmath::row_mat2x3_transform_pos2 as transform_pos;
pub type Scalar = f64;
pub type Matrix2d<T = Scalar> = vecmath::Matrix2x3<T>;
pub type Rectangle<T = Scalar> = [T; 4];
pub type Vec2d<T = Scalar> = vecmath::Vector2<T>;
pub fn is_inside(pos: Vec2d, rect: Rectangle) -> bool {
pos[0] >= rect[0] && pos[1] >= rect[1] && pos[0] < rect[0] + rect[2] &&
pos[1] < rect[1] + rect[3]
}
pub fn inside_pos(outside_pos: Vec2d, transform: Matrix2d) -> Vec2d {
let inv = inv(transform);
transform_pos(inv, outside_pos)
}