use super::{super::Angle, Vec2, Vec4};
#[cfg(feature = "rand")]
use rand::{
distributions::{Distribution, Standard},
Rng,
};
use std::ops::{Add, Mul, Sub};
pub fn mat2(x_axis: Vec2, y_axis: Vec2) -> Mat2 {
Mat2::new(x_axis, y_axis)
}
#[derive(Clone, Copy, PartialEq, PartialOrd, Debug)]
pub struct Mat2(pub(crate) Vec4);
impl Default for Mat2 {
#[inline]
fn default() -> Self {
Self::identity()
}
}
impl Mat2 {
#[inline]
pub fn zero() -> Self {
Mat2(Vec4::zero())
}
#[inline]
pub fn identity() -> Self {
Self(Vec4::new(1.0, 0.0, 0.0, 1.0))
}
#[inline]
pub fn new(x_axis: Vec2, y_axis: Vec2) -> Self {
Self(Vec4::new(x_axis.x(), x_axis.y(), y_axis.x(), y_axis.y()))
}
#[inline]
pub fn from_scale_angle(scale: Vec2, angle: Angle) -> Self {
let (sin, cos) = angle.sin_cos();
let (scale_x, scale_y) = scale.into();
Self(Vec4::new(
cos * scale_x,
sin * scale_x,
-sin * scale_y,
cos * scale_y,
))
}
#[inline]
pub fn from_angle(angle: Angle) -> Self {
let (sin, cos) = angle.sin_cos();
Self(Vec4::new(cos, sin, -sin, cos))
}
#[inline]
pub fn from_scale(scale: Vec2) -> Self {
let (x, y) = scale.into();
Self(Vec4::new(x, 0.0, 0.0, y))
}
#[inline]
pub fn set_x_axis(&mut self, x: Vec2) {
let m = self.0.as_mut();
m[0] = x.x();
m[1] = x.y();
}
#[inline]
pub fn set_y_axis(&mut self, y: Vec2) {
let m = self.0.as_mut();
m[2] = y.x();
m[3] = y.y();
}
#[inline]
pub fn x_axis(&self) -> Vec2 {
let (x, y, _, _) = self.0.into();
Vec2::new(x, y)
}
#[inline]
pub fn y_axis(&self) -> Vec2 {
let (_, _, x, y) = self.0.into();
Vec2::new(x, y)
}
#[inline]
pub fn transpose(&self) -> Self {
let (m00, m01, m10, m11) = self.0.into();
Self(Vec4::new(m00, m10, m01, m11))
}
#[inline]
pub fn determinant(&self) -> f32 {
let (a, b, c, d) = self.0.into();
a * d - b * c
}
#[inline]
pub fn inverse(&self) -> Self {
let (a, b, c, d) = self.0.into();
let det = a * d - b * c;
debug_assert!(det != 0.0);
let tmp = Vec4::new(1.0, -1.0, -1.0, 1.0) / det;
Self(Vec4::new(d, b, c, a) * tmp)
}
#[inline]
pub fn mul_vec2(&self, rhs: Vec2) -> Vec2 {
let rhs = Vec4::new(rhs.x(), rhs.x(), rhs.y(), rhs.y());
let tmp = self.0 * rhs;
let (x0, y0, x1, y1) = tmp.into();
Vec2::new(x0 + x1, y0 + y1)
}
#[inline]
pub fn mul_mat2(&self, rhs: &Self) -> Self {
let (x0, y0, x1, y1) = rhs.0.into();
Mat2::new(
self.mul_vec2(Vec2::new(x0, y0)),
self.mul_vec2(Vec2::new(x1, y1)),
)
}
#[inline]
pub fn add_mat2(&self, rhs: &Self) -> Self {
Mat2(self.0 + rhs.0)
}
#[inline]
pub fn sub_mat2(&self, rhs: &Self) -> Self {
Mat2(self.0 - rhs.0)
}
#[inline]
pub fn mul_scalar(&self, rhs: f32) -> Self {
let s = Vec4::splat(rhs);
Mat2(self.0 * s)
}
}
#[cfg(feature = "rand")]
impl Distribution<Mat2> for Standard {
#[inline]
fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Mat2 {
rng.gen::<[[f32; 2]; 2]>().into()
}
}
impl AsRef<[f32; 4]> for Mat2 {
#[inline]
fn as_ref(&self) -> &[f32; 4] {
unsafe { &*(self as *const Self as *const [f32; 4]) }
}
}
impl AsMut<[f32; 4]> for Mat2 {
#[inline]
fn as_mut(&mut self) -> &mut [f32; 4] {
unsafe { &mut *(self as *mut Self as *mut [f32; 4]) }
}
}
impl Add<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn add(self, rhs: Self) -> Self {
self.add_mat2(&rhs)
}
}
impl Sub<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn sub(self, rhs: Self) -> Self {
self.sub_mat2(&rhs)
}
}
impl Mul<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn mul(self, rhs: Self) -> Self {
self.mul_mat2(&rhs)
}
}
impl Mul<Vec2> for Mat2 {
type Output = Vec2;
#[inline]
fn mul(self, rhs: Vec2) -> Vec2 {
self.mul_vec2(rhs)
}
}
impl Mul<&Vec2> for Mat2 {
type Output = Vec2;
#[inline]
fn mul(self, rhs: &Vec2) -> Vec2 {
self.mul_vec2(*rhs)
}
}
impl Mul<Mat2> for f32 {
type Output = Mat2;
#[inline]
fn mul(self, rhs: Mat2) -> Mat2 {
rhs.mul_scalar(self)
}
}
impl Mul<f32> for Mat2 {
type Output = Self;
#[inline]
fn mul(self, rhs: f32) -> Self {
self.mul_scalar(rhs)
}
}
impl From<[[f32; 2]; 2]> for Mat2 {
#[inline]
fn from(m: [[f32; 2]; 2]) -> Self {
Mat2(Vec4::new(m[0][0], m[0][1], m[1][0], m[1][1]))
}
}
impl From<Mat2> for [[f32; 2]; 2] {
#[inline]
fn from(m: Mat2) -> Self {
let (x0, y0, x1, y1) = m.0.into();
[[x0, y0], [x1, y1]]
}
}