589 lines
17 KiB
Rust
589 lines
17 KiB
Rust
// Generated from mat.rs.tera template. Edit the template, not the generated file.
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use crate::{f32::math, swizzles::*, DMat2, Mat3, Mat3A, Vec2};
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use core::fmt;
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use core::iter::{Product, Sum};
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use core::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign};
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use core::arch::wasm32::*;
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/// Creates a 2x2 matrix from two column vectors.
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#[inline(always)]
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#[must_use]
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pub const fn mat2(x_axis: Vec2, y_axis: Vec2) -> Mat2 {
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Mat2::from_cols(x_axis, y_axis)
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}
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/// A 2x2 column major matrix.
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///
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/// SIMD vector types are used for storage on supported platforms.
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///
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/// This type is 16 byte aligned.
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#[derive(Clone, Copy)]
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#[repr(transparent)]
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pub struct Mat2(pub(crate) v128);
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impl Mat2 {
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/// A 2x2 matrix with all elements set to `0.0`.
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pub const ZERO: Self = Self::from_cols(Vec2::ZERO, Vec2::ZERO);
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/// A 2x2 identity matrix, where all diagonal elements are `1`, and all off-diagonal elements are `0`.
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pub const IDENTITY: Self = Self::from_cols(Vec2::X, Vec2::Y);
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/// All NAN:s.
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pub const NAN: Self = Self::from_cols(Vec2::NAN, Vec2::NAN);
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#[allow(clippy::too_many_arguments)]
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#[inline(always)]
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#[must_use]
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const fn new(m00: f32, m01: f32, m10: f32, m11: f32) -> Self {
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Self(f32x4(m00, m01, m10, m11))
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}
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/// Creates a 2x2 matrix from two column vectors.
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#[inline(always)]
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#[must_use]
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pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self {
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Self(f32x4(x_axis.x, x_axis.y, y_axis.x, y_axis.y))
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}
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/// Creates a 2x2 matrix from a `[f32; 4]` array stored in column major order.
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/// If your data is stored in row major you will need to `transpose` the returned
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/// matrix.
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#[inline]
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#[must_use]
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pub const fn from_cols_array(m: &[f32; 4]) -> Self {
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Self::new(m[0], m[1], m[2], m[3])
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}
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/// Creates a `[f32; 4]` array storing data in column major order.
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/// If you require data in row major order `transpose` the matrix first.
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#[inline]
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#[must_use]
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pub const fn to_cols_array(&self) -> [f32; 4] {
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unsafe { *(self as *const Self as *const [f32; 4]) }
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}
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/// Creates a 2x2 matrix from a `[[f32; 2]; 2]` 2D array stored in column major order.
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/// If your data is in row major order you will need to `transpose` the returned
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/// matrix.
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#[inline]
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#[must_use]
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pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self {
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Self::from_cols(Vec2::from_array(m[0]), Vec2::from_array(m[1]))
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}
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/// Creates a `[[f32; 2]; 2]` 2D array storing data in column major order.
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/// If you require data in row major order `transpose` the matrix first.
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#[inline]
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#[must_use]
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pub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2] {
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unsafe { *(self as *const Self as *const [[f32; 2]; 2]) }
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}
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/// Creates a 2x2 matrix with its diagonal set to `diagonal` and all other entries set to 0.
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#[doc(alias = "scale")]
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#[inline]
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#[must_use]
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pub const fn from_diagonal(diagonal: Vec2) -> Self {
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Self::new(diagonal.x, 0.0, 0.0, diagonal.y)
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}
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/// Creates a 2x2 matrix containing the combining non-uniform `scale` and rotation of
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/// `angle` (in radians).
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#[inline]
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#[must_use]
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pub fn from_scale_angle(scale: Vec2, angle: f32) -> Self {
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let (sin, cos) = math::sin_cos(angle);
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Self::new(cos * scale.x, sin * scale.x, -sin * scale.y, cos * scale.y)
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}
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/// Creates a 2x2 matrix containing a rotation of `angle` (in radians).
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#[inline]
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#[must_use]
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pub fn from_angle(angle: f32) -> Self {
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let (sin, cos) = math::sin_cos(angle);
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Self::new(cos, sin, -sin, cos)
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}
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/// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
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#[inline]
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#[must_use]
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pub fn from_mat3(m: Mat3) -> Self {
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Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
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}
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/// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
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/// and `j`th row.
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///
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/// # Panics
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///
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/// Panics if `i` or `j` is greater than 2.
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#[inline]
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#[must_use]
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pub fn from_mat3_minor(m: Mat3, i: usize, j: usize) -> Self {
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match (i, j) {
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(0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
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(0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
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(0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
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(1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
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(1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
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(1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
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(2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
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(2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
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(2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
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_ => panic!("index out of bounds"),
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}
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}
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/// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
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#[inline]
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#[must_use]
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pub fn from_mat3a(m: Mat3A) -> Self {
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Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
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}
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/// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
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/// and `j`th row.
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///
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/// # Panics
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///
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/// Panics if `i` or `j` is greater than 2.
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#[inline]
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#[must_use]
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pub fn from_mat3a_minor(m: Mat3A, i: usize, j: usize) -> Self {
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match (i, j) {
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(0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
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(0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
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(0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
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(1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
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(1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
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(1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
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(2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
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(2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
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(2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
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_ => panic!("index out of bounds"),
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}
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}
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/// Creates a 2x2 matrix from the first 4 values in `slice`.
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///
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/// # Panics
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///
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/// Panics if `slice` is less than 4 elements long.
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#[inline]
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#[must_use]
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pub const fn from_cols_slice(slice: &[f32]) -> Self {
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Self::new(slice[0], slice[1], slice[2], slice[3])
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}
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/// Writes the columns of `self` to the first 4 elements in `slice`.
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///
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/// # Panics
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///
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/// Panics if `slice` is less than 4 elements long.
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#[inline]
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pub fn write_cols_to_slice(self, slice: &mut [f32]) {
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slice[0] = self.x_axis.x;
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slice[1] = self.x_axis.y;
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slice[2] = self.y_axis.x;
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slice[3] = self.y_axis.y;
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}
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/// Returns the matrix column for the given `index`.
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///
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/// # Panics
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///
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/// Panics if `index` is greater than 1.
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#[inline]
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#[must_use]
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pub fn col(&self, index: usize) -> Vec2 {
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match index {
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0 => self.x_axis,
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1 => self.y_axis,
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_ => panic!("index out of bounds"),
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}
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}
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/// Returns a mutable reference to the matrix column for the given `index`.
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///
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/// # Panics
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///
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/// Panics if `index` is greater than 1.
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#[inline]
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pub fn col_mut(&mut self, index: usize) -> &mut Vec2 {
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match index {
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0 => &mut self.x_axis,
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1 => &mut self.y_axis,
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_ => panic!("index out of bounds"),
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}
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}
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/// Returns the matrix row for the given `index`.
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///
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/// # Panics
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///
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/// Panics if `index` is greater than 1.
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#[inline]
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#[must_use]
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pub fn row(&self, index: usize) -> Vec2 {
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match index {
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0 => Vec2::new(self.x_axis.x, self.y_axis.x),
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1 => Vec2::new(self.x_axis.y, self.y_axis.y),
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_ => panic!("index out of bounds"),
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}
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}
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/// Returns `true` if, and only if, all elements are finite.
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/// If any element is either `NaN`, positive or negative infinity, this will return `false`.
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#[inline]
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#[must_use]
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pub fn is_finite(&self) -> bool {
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self.x_axis.is_finite() && self.y_axis.is_finite()
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}
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/// Returns `true` if any elements are `NaN`.
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#[inline]
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#[must_use]
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pub fn is_nan(&self) -> bool {
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self.x_axis.is_nan() || self.y_axis.is_nan()
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}
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/// Returns the transpose of `self`.
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#[inline]
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#[must_use]
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pub fn transpose(&self) -> Self {
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Self(i32x4_shuffle::<0, 2, 5, 7>(self.0, self.0))
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}
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/// Returns the determinant of `self`.
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#[inline]
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#[must_use]
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pub fn determinant(&self) -> f32 {
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let abcd = self.0;
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let dcba = i32x4_shuffle::<3, 2, 5, 4>(abcd, abcd);
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let prod = f32x4_mul(abcd, dcba);
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let det = f32x4_sub(prod, i32x4_shuffle::<1, 1, 5, 5>(prod, prod));
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f32x4_extract_lane::<0>(det)
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}
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/// Returns the inverse of `self`.
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///
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/// If the matrix is not invertible the returned matrix will be invalid.
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///
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/// # Panics
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///
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/// Will panic if the determinant of `self` is zero when `glam_assert` is enabled.
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#[inline]
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#[must_use]
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pub fn inverse(&self) -> Self {
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const SIGN: v128 = crate::wasm32::v128_from_f32x4([1.0, -1.0, -1.0, 1.0]);
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let abcd = self.0;
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let dcba = i32x4_shuffle::<3, 2, 5, 4>(abcd, abcd);
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let prod = f32x4_mul(abcd, dcba);
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let sub = f32x4_sub(prod, i32x4_shuffle::<1, 1, 5, 5>(prod, prod));
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let det = i32x4_shuffle::<0, 0, 4, 4>(sub, sub);
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let tmp = f32x4_div(SIGN, det);
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glam_assert!(Mat2(tmp).is_finite());
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let dbca = i32x4_shuffle::<3, 1, 6, 4>(abcd, abcd);
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Self(f32x4_mul(dbca, tmp))
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}
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/// Transforms a 2D vector.
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#[inline]
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#[must_use]
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pub fn mul_vec2(&self, rhs: Vec2) -> Vec2 {
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use core::mem::MaybeUninit;
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let abcd = self.0;
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let xxyy = f32x4(rhs.x, rhs.x, rhs.y, rhs.y);
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let axbxcydy = f32x4_mul(abcd, xxyy);
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let cydyaxbx = i32x4_shuffle::<2, 3, 4, 5>(axbxcydy, axbxcydy);
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let result = f32x4_add(axbxcydy, cydyaxbx);
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let mut out: MaybeUninit<v128> = MaybeUninit::uninit();
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unsafe {
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v128_store(out.as_mut_ptr(), result);
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*(&out.assume_init() as *const v128 as *const Vec2)
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}
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}
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/// Multiplies two 2x2 matrices.
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#[inline]
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#[must_use]
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pub fn mul_mat2(&self, rhs: &Self) -> Self {
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let abcd = self.0;
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let rhs = rhs.0;
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let xxyy0 = i32x4_shuffle::<0, 0, 5, 5>(rhs, rhs);
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let xxyy1 = i32x4_shuffle::<2, 2, 7, 7>(rhs, rhs);
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let axbxcydy0 = f32x4_mul(abcd, xxyy0);
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let axbxcydy1 = f32x4_mul(abcd, xxyy1);
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let cydyaxbx0 = i32x4_shuffle::<2, 3, 4, 5>(axbxcydy0, axbxcydy0);
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let cydyaxbx1 = i32x4_shuffle::<2, 3, 4, 5>(axbxcydy1, axbxcydy1);
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let result0 = f32x4_add(axbxcydy0, cydyaxbx0);
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let result1 = f32x4_add(axbxcydy1, cydyaxbx1);
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Self(i32x4_shuffle::<0, 1, 4, 5>(result0, result1))
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}
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/// Adds two 2x2 matrices.
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#[inline]
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#[must_use]
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pub fn add_mat2(&self, rhs: &Self) -> Self {
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Self(f32x4_add(self.0, rhs.0))
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}
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/// Subtracts two 2x2 matrices.
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#[inline]
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#[must_use]
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pub fn sub_mat2(&self, rhs: &Self) -> Self {
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Self(f32x4_sub(self.0, rhs.0))
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}
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/// Multiplies a 2x2 matrix by a scalar.
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#[inline]
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#[must_use]
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pub fn mul_scalar(&self, rhs: f32) -> Self {
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Self(f32x4_mul(self.0, f32x4_splat(rhs)))
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}
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/// Divides a 2x2 matrix by a scalar.
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#[inline]
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#[must_use]
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pub fn div_scalar(&self, rhs: f32) -> Self {
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Self(f32x4_div(self.0, f32x4_splat(rhs)))
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}
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/// Returns true if the absolute difference of all elements between `self` and `rhs`
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/// is less than or equal to `max_abs_diff`.
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///
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/// This can be used to compare if two matrices contain similar elements. It works best
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/// when comparing with a known value. The `max_abs_diff` that should be used used
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/// depends on the values being compared against.
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///
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/// For more see
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/// [comparing floating point numbers](https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/).
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#[inline]
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#[must_use]
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pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f32) -> bool {
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self.x_axis.abs_diff_eq(rhs.x_axis, max_abs_diff)
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&& self.y_axis.abs_diff_eq(rhs.y_axis, max_abs_diff)
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}
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/// Takes the absolute value of each element in `self`
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#[inline]
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#[must_use]
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pub fn abs(&self) -> Self {
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Self::from_cols(self.x_axis.abs(), self.y_axis.abs())
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}
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#[inline]
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pub fn as_dmat2(&self) -> DMat2 {
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DMat2::from_cols(self.x_axis.as_dvec2(), self.y_axis.as_dvec2())
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}
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}
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impl Default for Mat2 {
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#[inline]
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fn default() -> Self {
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Self::IDENTITY
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}
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}
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impl Add<Mat2> for Mat2 {
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type Output = Self;
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#[inline]
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fn add(self, rhs: Self) -> Self::Output {
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self.add_mat2(&rhs)
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}
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}
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impl AddAssign<Mat2> for Mat2 {
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#[inline]
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fn add_assign(&mut self, rhs: Self) {
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*self = self.add_mat2(&rhs);
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}
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}
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impl Sub<Mat2> for Mat2 {
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type Output = Self;
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#[inline]
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fn sub(self, rhs: Self) -> Self::Output {
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self.sub_mat2(&rhs)
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}
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}
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impl SubAssign<Mat2> for Mat2 {
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#[inline]
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fn sub_assign(&mut self, rhs: Self) {
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*self = self.sub_mat2(&rhs);
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}
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}
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impl Neg for Mat2 {
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type Output = Self;
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#[inline]
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fn neg(self) -> Self::Output {
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Self(f32x4_neg(self.0))
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}
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}
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impl Mul<Mat2> for Mat2 {
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type Output = Self;
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#[inline]
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fn mul(self, rhs: Self) -> Self::Output {
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self.mul_mat2(&rhs)
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}
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}
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impl MulAssign<Mat2> for Mat2 {
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#[inline]
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fn mul_assign(&mut self, rhs: Self) {
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*self = self.mul_mat2(&rhs);
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}
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}
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impl Mul<Vec2> for Mat2 {
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type Output = Vec2;
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#[inline]
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fn mul(self, rhs: Vec2) -> Self::Output {
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self.mul_vec2(rhs)
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}
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}
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impl Mul<Mat2> for f32 {
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type Output = Mat2;
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#[inline]
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fn mul(self, rhs: Mat2) -> Self::Output {
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rhs.mul_scalar(self)
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}
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|
}
|
|
|
|
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) }
|
|
}
|
|
}
|
|
|
|
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()
|
|
}
|
|
}
|
|
|
|
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)
|
|
}
|
|
}
|
|
}
|