use crate::{f32::math, swizzles::*, DMat2, Mat3, Mat3A, Vec2};
#[cfg(not(target_arch = "spirv"))]
use core::fmt;
use core::iter::{Product, Sum};
use core::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign};
#[cfg(target_arch = "x86")]
use core::arch::x86::*;
#[cfg(target_arch = "x86_64")]
use core::arch::x86_64::*;
#[repr(C)]
union UnionCast {
a: [f32; 4],
v: Mat2,
}
#[inline(always)]
#[must_use]
pub const fn mat2(x_axis: Vec2, y_axis: Vec2) -> Mat2 {
Mat2::from_cols(x_axis, y_axis)
}
#[derive(Clone, Copy)]
#[repr(transparent)]
pub struct Mat2(pub(crate) __m128);
impl Mat2 {
pub const ZERO: Self = Self::from_cols(Vec2::ZERO, Vec2::ZERO);
pub const IDENTITY: Self = Self::from_cols(Vec2::X, Vec2::Y);
pub const NAN: Self = Self::from_cols(Vec2::NAN, Vec2::NAN);
#[allow(clippy::too_many_arguments)]
#[inline(always)]
#[must_use]
const fn new(m00: f32, m01: f32, m10: f32, m11: f32) -> Self {
unsafe {
UnionCast {
a: [m00, m01, m10, m11],
}
.v
}
}
#[inline(always)]
#[must_use]
pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self {
unsafe {
UnionCast {
a: [x_axis.x, x_axis.y, y_axis.x, y_axis.y],
}
.v
}
}
#[inline]
#[must_use]
pub const fn from_cols_array(m: &[f32; 4]) -> Self {
Self::new(m[0], m[1], m[2], m[3])
}
#[inline]
#[must_use]
pub const fn to_cols_array(&self) -> [f32; 4] {
unsafe { *(self as *const Self as *const [f32; 4]) }
}
#[inline]
#[must_use]
pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self {
Self::from_cols(Vec2::from_array(m[0]), Vec2::from_array(m[1]))
}
#[inline]
#[must_use]
pub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2] {
unsafe { *(self as *const Self as *const [[f32; 2]; 2]) }
}
#[doc(alias = "scale")]
#[inline]
#[must_use]
pub const fn from_diagonal(diagonal: Vec2) -> Self {
Self::new(diagonal.x, 0.0, 0.0, diagonal.y)
}
#[inline]
#[must_use]
pub fn from_scale_angle(scale: Vec2, angle: f32) -> Self {
let (sin, cos) = math::sin_cos(angle);
Self::new(cos * scale.x, sin * scale.x, -sin * scale.y, cos * scale.y)
}
#[inline]
#[must_use]
pub fn from_angle(angle: f32) -> Self {
let (sin, cos) = math::sin_cos(angle);
Self::new(cos, sin, -sin, cos)
}
#[inline]
#[must_use]
pub fn from_mat3(m: Mat3) -> Self {
Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
}
#[inline]
#[must_use]
pub fn from_mat3a(m: Mat3A) -> Self {
Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
}
#[inline]
#[must_use]
pub const fn from_cols_slice(slice: &[f32]) -> Self {
Self::new(slice[0], slice[1], slice[2], slice[3])
}
#[inline]
pub fn write_cols_to_slice(self, slice: &mut [f32]) {
slice[0] = self.x_axis.x;
slice[1] = self.x_axis.y;
slice[2] = self.y_axis.x;
slice[3] = self.y_axis.y;
}
#[inline]
#[must_use]
pub fn col(&self, index: usize) -> Vec2 {
match index {
0 => self.x_axis,
1 => self.y_axis,
_ => panic!("index out of bounds"),
}
}
#[inline]
pub fn col_mut(&mut self, index: usize) -> &mut Vec2 {
match index {
0 => &mut self.x_axis,
1 => &mut self.y_axis,
_ => panic!("index out of bounds"),
}
}
#[inline]
#[must_use]
pub fn row(&self, index: usize) -> Vec2 {
match index {
0 => Vec2::new(self.x_axis.x, self.y_axis.x),
1 => Vec2::new(self.x_axis.y, self.y_axis.y),
_ => panic!("index out of bounds"),
}
}
#[inline]
#[must_use]
pub fn is_finite(&self) -> bool {
self.x_axis.is_finite() && self.y_axis.is_finite()
}
#[inline]
#[must_use]
pub fn is_nan(&self) -> bool {
self.x_axis.is_nan() || self.y_axis.is_nan()
}
#[inline]
#[must_use]
pub fn transpose(&self) -> Self {
Self(unsafe { _mm_shuffle_ps(self.0, self.0, 0b11_01_10_00) })
}
#[inline]
#[must_use]
pub fn determinant(&self) -> f32 {
unsafe {
let abcd = self.0;
let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
let prod = _mm_mul_ps(abcd, dcba);
let det = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
_mm_cvtss_f32(det)
}
}
#[inline]
#[must_use]
pub fn inverse(&self) -> Self {
unsafe {
const SIGN: __m128 = crate::sse2::m128_from_f32x4([1.0, -1.0, -1.0, 1.0]);
let abcd = self.0;
let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
let prod = _mm_mul_ps(abcd, dcba);
let sub = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
let det = _mm_shuffle_ps(sub, sub, 0b00_00_00_00);
let tmp = _mm_div_ps(SIGN, det);
glam_assert!(Mat2(tmp).is_finite());
let dbca = _mm_shuffle_ps(abcd, abcd, 0b00_10_01_11);
Self(_mm_mul_ps(dbca, tmp))
}
}
#[inline]
#[must_use]
pub fn mul_vec2(&self, rhs: Vec2) -> Vec2 {
unsafe {
use crate::Align16;
use core::mem::MaybeUninit;
let abcd = self.0;
let xxyy = _mm_set_ps(rhs.y, rhs.y, rhs.x, rhs.x);
let axbxcydy = _mm_mul_ps(abcd, xxyy);
let cydyaxbx = _mm_shuffle_ps(axbxcydy, axbxcydy, 0b01_00_11_10);
let result = _mm_add_ps(axbxcydy, cydyaxbx);
let mut out: MaybeUninit<Align16<Vec2>> = MaybeUninit::uninit();
_mm_store_ps(out.as_mut_ptr().cast(), result);
out.assume_init().0
}
}
#[inline]
#[must_use]
pub fn mul_mat2(&self, rhs: &Self) -> Self {
unsafe {
let abcd = self.0;
let rhs = rhs.0;
let xxyy0 = _mm_shuffle_ps(rhs, rhs, 0b01_01_00_00);
let xxyy1 = _mm_shuffle_ps(rhs, rhs, 0b11_11_10_10);
let axbxcydy0 = _mm_mul_ps(abcd, xxyy0);
let axbxcydy1 = _mm_mul_ps(abcd, xxyy1);
let cydyaxbx0 = _mm_shuffle_ps(axbxcydy0, axbxcydy0, 0b01_00_11_10);
let cydyaxbx1 = _mm_shuffle_ps(axbxcydy1, axbxcydy1, 0b01_00_11_10);
let result0 = _mm_add_ps(axbxcydy0, cydyaxbx0);
let result1 = _mm_add_ps(axbxcydy1, cydyaxbx1);
Self(_mm_shuffle_ps(result0, result1, 0b01_00_01_00))
}
}
#[inline]
#[must_use]
pub fn add_mat2(&self, rhs: &Self) -> Self {
Self(unsafe { _mm_add_ps(self.0, rhs.0) })
}
#[inline]
#[must_use]
pub fn sub_mat2(&self, rhs: &Self) -> Self {
Self(unsafe { _mm_sub_ps(self.0, rhs.0) })
}
#[inline]
#[must_use]
pub fn mul_scalar(&self, rhs: f32) -> Self {
Self(unsafe { _mm_mul_ps(self.0, _mm_set_ps1(rhs)) })
}
#[inline]
#[must_use]
pub fn div_scalar(&self, rhs: f32) -> Self {
Self(unsafe { _mm_div_ps(self.0, _mm_set_ps1(rhs)) })
}
#[inline]
#[must_use]
pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f32) -> bool {
self.x_axis.abs_diff_eq(rhs.x_axis, max_abs_diff)
&& self.y_axis.abs_diff_eq(rhs.y_axis, max_abs_diff)
}
#[inline]
#[must_use]
pub fn abs(&self) -> Self {
Self::from_cols(self.x_axis.abs(), self.y_axis.abs())
}
#[inline]
pub fn as_dmat2(&self) -> DMat2 {
DMat2::from_cols(self.x_axis.as_dvec2(), self.y_axis.as_dvec2())
}
}
impl Default for Mat2 {
#[inline]
fn default() -> Self {
Self::IDENTITY
}
}
impl Add<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn add(self, rhs: Self) -> Self::Output {
self.add_mat2(&rhs)
}
}
impl AddAssign<Mat2> for Mat2 {
#[inline]
fn add_assign(&mut self, rhs: Self) {
*self = self.add_mat2(&rhs);
}
}
impl Sub<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn sub(self, rhs: Self) -> Self::Output {
self.sub_mat2(&rhs)
}
}
impl SubAssign<Mat2> for Mat2 {
#[inline]
fn sub_assign(&mut self, rhs: Self) {
*self = self.sub_mat2(&rhs);
}
}
impl Neg for Mat2 {
type Output = Self;
#[inline]
fn neg(self) -> Self::Output {
Self(unsafe { _mm_xor_ps(self.0, _mm_set1_ps(-0.0)) })
}
}
impl Mul<Mat2> for Mat2 {
type Output = Self;
#[inline]
fn mul(self, rhs: Self) -> Self::Output {
self.mul_mat2(&rhs)
}
}
impl MulAssign<Mat2> for Mat2 {
#[inline]
fn mul_assign(&mut self, rhs: Self) {
*self = self.mul_mat2(&rhs);
}
}
impl Mul<Vec2> for Mat2 {
type Output = Vec2;
#[inline]
fn mul(self, rhs: Vec2) -> Self::Output {
self.mul_vec2(rhs)
}
}
impl Mul<Mat2> for f32 {
type Output = Mat2;
#[inline]
fn mul(self, rhs: Mat2) -> Self::Output {
rhs.mul_scalar(self)
}
}
impl Mul<f32> for Mat2 {
type Output = Self;
#[inline]
fn mul(self, rhs: f32) -> Self::Output {
self.mul_scalar(rhs)
}
}
impl MulAssign<f32> for Mat2 {
#[inline]
fn mul_assign(&mut self, rhs: f32) {
*self = self.mul_scalar(rhs);
}
}
impl Div<Mat2> for f32 {
type Output = Mat2;
#[inline]
fn div(self, rhs: Mat2) -> Self::Output {
rhs.div_scalar(self)
}
}
impl Div<f32> for Mat2 {
type Output = Self;
#[inline]
fn div(self, rhs: f32) -> Self::Output {
self.div_scalar(rhs)
}
}
impl DivAssign<f32> for Mat2 {
#[inline]
fn div_assign(&mut self, rhs: f32) {
*self = self.div_scalar(rhs);
}
}
impl Sum<Self> for Mat2 {
fn sum<I>(iter: I) -> Self
where
I: Iterator<Item = Self>,
{
iter.fold(Self::ZERO, Self::add)
}
}
impl<'a> Sum<&'a Self> for Mat2 {
fn sum<I>(iter: I) -> Self
where
I: Iterator<Item = &'a Self>,
{
iter.fold(Self::ZERO, |a, &b| Self::add(a, b))
}
}
impl Product for Mat2 {
fn product<I>(iter: I) -> Self
where
I: Iterator<Item = Self>,
{
iter.fold(Self::IDENTITY, Self::mul)
}
}
impl<'a> Product<&'a Self> for Mat2 {
fn product<I>(iter: I) -> Self
where
I: Iterator<Item = &'a Self>,
{
iter.fold(Self::IDENTITY, |a, &b| Self::mul(a, b))
}
}
impl PartialEq for Mat2 {
#[inline]
fn eq(&self, rhs: &Self) -> bool {
self.x_axis.eq(&rhs.x_axis) && self.y_axis.eq(&rhs.y_axis)
}
}
#[cfg(not(target_arch = "spirv"))]
impl AsRef<[f32; 4]> for Mat2 {
#[inline]
fn as_ref(&self) -> &[f32; 4] {
unsafe { &*(self as *const Self as *const [f32; 4]) }
}
}
#[cfg(not(target_arch = "spirv"))]
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 core::ops::Deref for Mat2 {
type Target = crate::deref::Cols2<Vec2>;
#[inline]
fn deref(&self) -> &Self::Target {
unsafe { &*(self as *const Self as *const Self::Target) }
}
}
impl core::ops::DerefMut for Mat2 {
#[inline]
fn deref_mut(&mut self) -> &mut Self::Target {
unsafe { &mut *(self as *mut Self as *mut Self::Target) }
}
}
#[cfg(not(target_arch = "spirv"))]
impl fmt::Debug for Mat2 {
fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
fmt.debug_struct(stringify!(Mat2))
.field("x_axis", &self.x_axis)
.field("y_axis", &self.y_axis)
.finish()
}
}
#[cfg(not(target_arch = "spirv"))]
impl fmt::Display for Mat2 {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
if let Some(p) = f.precision() {
write!(f, "[{:.*}, {:.*}]", p, self.x_axis, p, self.y_axis)
} else {
write!(f, "[{}, {}]", self.x_axis, self.y_axis)
}
}
}