glam/f32/sse2/
mat2.rs

1// Generated from mat.rs.tera template. Edit the template, not the generated file.
2
3use crate::{f32::math, swizzles::*, DMat2, Mat3, Mat3A, Vec2};
4use core::fmt;
5use core::iter::{Product, Sum};
6use core::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign};
7
8#[cfg(target_arch = "x86")]
9use core::arch::x86::*;
10#[cfg(target_arch = "x86_64")]
11use core::arch::x86_64::*;
12
13#[repr(C)]
14union UnionCast {
15    a: [f32; 4],
16    v: Mat2,
17}
18
19/// Creates a 2x2 matrix from two column vectors.
20#[inline(always)]
21#[must_use]
22pub const fn mat2(x_axis: Vec2, y_axis: Vec2) -> Mat2 {
23    Mat2::from_cols(x_axis, y_axis)
24}
25
26/// A 2x2 column major matrix.
27///
28/// SIMD vector types are used for storage on supported platforms.
29///
30/// This type is 16 byte aligned.
31#[derive(Clone, Copy)]
32#[cfg_attr(feature = "bytemuck", derive(bytemuck::Pod, bytemuck::Zeroable))]
33#[repr(transparent)]
34pub struct Mat2(pub(crate) __m128);
35
36impl Mat2 {
37    /// A 2x2 matrix with all elements set to `0.0`.
38    pub const ZERO: Self = Self::from_cols(Vec2::ZERO, Vec2::ZERO);
39
40    /// A 2x2 identity matrix, where all diagonal elements are `1`, and all off-diagonal elements are `0`.
41    pub const IDENTITY: Self = Self::from_cols(Vec2::X, Vec2::Y);
42
43    /// All NAN:s.
44    pub const NAN: Self = Self::from_cols(Vec2::NAN, Vec2::NAN);
45
46    #[allow(clippy::too_many_arguments)]
47    #[inline(always)]
48    #[must_use]
49    const fn new(m00: f32, m01: f32, m10: f32, m11: f32) -> Self {
50        unsafe {
51            UnionCast {
52                a: [m00, m01, m10, m11],
53            }
54            .v
55        }
56    }
57
58    /// Creates a 2x2 matrix from two column vectors.
59    #[inline(always)]
60    #[must_use]
61    pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self {
62        unsafe {
63            UnionCast {
64                a: [x_axis.x, x_axis.y, y_axis.x, y_axis.y],
65            }
66            .v
67        }
68    }
69
70    /// Creates a 2x2 matrix from a `[f32; 4]` array stored in column major order.
71    /// If your data is stored in row major you will need to `transpose` the returned
72    /// matrix.
73    #[inline]
74    #[must_use]
75    pub const fn from_cols_array(m: &[f32; 4]) -> Self {
76        Self::new(m[0], m[1], m[2], m[3])
77    }
78
79    /// Creates a `[f32; 4]` array storing data in column major order.
80    /// If you require data in row major order `transpose` the matrix first.
81    #[inline]
82    #[must_use]
83    pub const fn to_cols_array(&self) -> [f32; 4] {
84        unsafe { *(self as *const Self as *const [f32; 4]) }
85    }
86
87    /// Creates a 2x2 matrix from a `[[f32; 2]; 2]` 2D array stored in column major order.
88    /// If your data is in row major order you will need to `transpose` the returned
89    /// matrix.
90    #[inline]
91    #[must_use]
92    pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self {
93        Self::from_cols(Vec2::from_array(m[0]), Vec2::from_array(m[1]))
94    }
95
96    /// Creates a `[[f32; 2]; 2]` 2D array storing data in column major order.
97    /// If you require data in row major order `transpose` the matrix first.
98    #[inline]
99    #[must_use]
100    pub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2] {
101        unsafe { *(self as *const Self as *const [[f32; 2]; 2]) }
102    }
103
104    /// Creates a 2x2 matrix with its diagonal set to `diagonal` and all other entries set to 0.
105    #[doc(alias = "scale")]
106    #[inline]
107    #[must_use]
108    pub const fn from_diagonal(diagonal: Vec2) -> Self {
109        Self::new(diagonal.x, 0.0, 0.0, diagonal.y)
110    }
111
112    /// Creates a 2x2 matrix containing the combining non-uniform `scale` and rotation of
113    /// `angle` (in radians).
114    #[inline]
115    #[must_use]
116    pub fn from_scale_angle(scale: Vec2, angle: f32) -> Self {
117        let (sin, cos) = math::sin_cos(angle);
118        Self::new(cos * scale.x, sin * scale.x, -sin * scale.y, cos * scale.y)
119    }
120
121    /// Creates a 2x2 matrix containing a rotation of `angle` (in radians).
122    #[inline]
123    #[must_use]
124    pub fn from_angle(angle: f32) -> Self {
125        let (sin, cos) = math::sin_cos(angle);
126        Self::new(cos, sin, -sin, cos)
127    }
128
129    /// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
130    #[inline]
131    #[must_use]
132    pub fn from_mat3(m: Mat3) -> Self {
133        Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
134    }
135
136    /// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
137    /// and `j`th row.
138    ///
139    /// # Panics
140    ///
141    /// Panics if `i` or `j` is greater than 2.
142    #[inline]
143    #[must_use]
144    pub fn from_mat3_minor(m: Mat3, i: usize, j: usize) -> Self {
145        match (i, j) {
146            (0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
147            (0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
148            (0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
149            (1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
150            (1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
151            (1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
152            (2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
153            (2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
154            (2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
155            _ => panic!("index out of bounds"),
156        }
157    }
158
159    /// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
160    #[inline]
161    #[must_use]
162    pub fn from_mat3a(m: Mat3A) -> Self {
163        Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
164    }
165
166    /// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
167    /// and `j`th row.
168    ///
169    /// # Panics
170    ///
171    /// Panics if `i` or `j` is greater than 2.
172    #[inline]
173    #[must_use]
174    pub fn from_mat3a_minor(m: Mat3A, i: usize, j: usize) -> Self {
175        match (i, j) {
176            (0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
177            (0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
178            (0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
179            (1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
180            (1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
181            (1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
182            (2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
183            (2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
184            (2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
185            _ => panic!("index out of bounds"),
186        }
187    }
188
189    /// Creates a 2x2 matrix from the first 4 values in `slice`.
190    ///
191    /// # Panics
192    ///
193    /// Panics if `slice` is less than 4 elements long.
194    #[inline]
195    #[must_use]
196    pub const fn from_cols_slice(slice: &[f32]) -> Self {
197        Self::new(slice[0], slice[1], slice[2], slice[3])
198    }
199
200    /// Writes the columns of `self` to the first 4 elements in `slice`.
201    ///
202    /// # Panics
203    ///
204    /// Panics if `slice` is less than 4 elements long.
205    #[inline]
206    pub fn write_cols_to_slice(self, slice: &mut [f32]) {
207        slice[0] = self.x_axis.x;
208        slice[1] = self.x_axis.y;
209        slice[2] = self.y_axis.x;
210        slice[3] = self.y_axis.y;
211    }
212
213    /// Returns the matrix column for the given `index`.
214    ///
215    /// # Panics
216    ///
217    /// Panics if `index` is greater than 1.
218    #[inline]
219    #[must_use]
220    pub fn col(&self, index: usize) -> Vec2 {
221        match index {
222            0 => self.x_axis,
223            1 => self.y_axis,
224            _ => panic!("index out of bounds"),
225        }
226    }
227
228    /// Returns a mutable reference to the matrix column for the given `index`.
229    ///
230    /// # Panics
231    ///
232    /// Panics if `index` is greater than 1.
233    #[inline]
234    pub fn col_mut(&mut self, index: usize) -> &mut Vec2 {
235        match index {
236            0 => &mut self.x_axis,
237            1 => &mut self.y_axis,
238            _ => panic!("index out of bounds"),
239        }
240    }
241
242    /// Returns the matrix row for the given `index`.
243    ///
244    /// # Panics
245    ///
246    /// Panics if `index` is greater than 1.
247    #[inline]
248    #[must_use]
249    pub fn row(&self, index: usize) -> Vec2 {
250        match index {
251            0 => Vec2::new(self.x_axis.x, self.y_axis.x),
252            1 => Vec2::new(self.x_axis.y, self.y_axis.y),
253            _ => panic!("index out of bounds"),
254        }
255    }
256
257    /// Returns `true` if, and only if, all elements are finite.
258    /// If any element is either `NaN`, positive or negative infinity, this will return `false`.
259    #[inline]
260    #[must_use]
261    pub fn is_finite(&self) -> bool {
262        self.x_axis.is_finite() && self.y_axis.is_finite()
263    }
264
265    /// Returns `true` if any elements are `NaN`.
266    #[inline]
267    #[must_use]
268    pub fn is_nan(&self) -> bool {
269        self.x_axis.is_nan() || self.y_axis.is_nan()
270    }
271
272    /// Returns the transpose of `self`.
273    #[inline]
274    #[must_use]
275    pub fn transpose(&self) -> Self {
276        Self(unsafe { _mm_shuffle_ps(self.0, self.0, 0b11_01_10_00) })
277    }
278
279    /// Returns the determinant of `self`.
280    #[inline]
281    #[must_use]
282    pub fn determinant(&self) -> f32 {
283        unsafe {
284            let abcd = self.0;
285            let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
286            let prod = _mm_mul_ps(abcd, dcba);
287            let det = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
288            _mm_cvtss_f32(det)
289        }
290    }
291
292    /// Returns the inverse of `self`.
293    ///
294    /// If the matrix is not invertible the returned matrix will be invalid.
295    ///
296    /// # Panics
297    ///
298    /// Will panic if the determinant of `self` is zero when `glam_assert` is enabled.
299    #[inline]
300    #[must_use]
301    pub fn inverse(&self) -> Self {
302        unsafe {
303            const SIGN: __m128 = crate::sse2::m128_from_f32x4([1.0, -1.0, -1.0, 1.0]);
304            let abcd = self.0;
305            let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
306            let prod = _mm_mul_ps(abcd, dcba);
307            let sub = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
308            let det = _mm_shuffle_ps(sub, sub, 0b00_00_00_00);
309            let tmp = _mm_div_ps(SIGN, det);
310            glam_assert!(Mat2(tmp).is_finite());
311            let dbca = _mm_shuffle_ps(abcd, abcd, 0b00_10_01_11);
312            Self(_mm_mul_ps(dbca, tmp))
313        }
314    }
315
316    /// Transforms a 2D vector.
317    #[inline]
318    #[must_use]
319    pub fn mul_vec2(&self, rhs: Vec2) -> Vec2 {
320        unsafe {
321            use crate::Align16;
322            use core::mem::MaybeUninit;
323            let abcd = self.0;
324            let xxyy = _mm_set_ps(rhs.y, rhs.y, rhs.x, rhs.x);
325            let axbxcydy = _mm_mul_ps(abcd, xxyy);
326            let cydyaxbx = _mm_shuffle_ps(axbxcydy, axbxcydy, 0b01_00_11_10);
327            let result = _mm_add_ps(axbxcydy, cydyaxbx);
328            let mut out: MaybeUninit<Align16<Vec2>> = MaybeUninit::uninit();
329            _mm_store_ps(out.as_mut_ptr().cast(), result);
330            out.assume_init().0
331        }
332    }
333
334    /// Multiplies two 2x2 matrices.
335    #[inline]
336    #[must_use]
337    pub fn mul_mat2(&self, rhs: &Self) -> Self {
338        self.mul(rhs)
339    }
340
341    /// Adds two 2x2 matrices.
342    #[inline]
343    #[must_use]
344    pub fn add_mat2(&self, rhs: &Self) -> Self {
345        self.add(rhs)
346    }
347
348    /// Subtracts two 2x2 matrices.
349    #[inline]
350    #[must_use]
351    pub fn sub_mat2(&self, rhs: &Self) -> Self {
352        self.sub(rhs)
353    }
354
355    /// Multiplies a 2x2 matrix by a scalar.
356    #[inline]
357    #[must_use]
358    pub fn mul_scalar(&self, rhs: f32) -> Self {
359        Self(unsafe { _mm_mul_ps(self.0, _mm_set_ps1(rhs)) })
360    }
361
362    /// Divides a 2x2 matrix by a scalar.
363    #[inline]
364    #[must_use]
365    pub fn div_scalar(&self, rhs: f32) -> Self {
366        Self(unsafe { _mm_div_ps(self.0, _mm_set_ps1(rhs)) })
367    }
368
369    /// Returns true if the absolute difference of all elements between `self` and `rhs`
370    /// is less than or equal to `max_abs_diff`.
371    ///
372    /// This can be used to compare if two matrices contain similar elements. It works best
373    /// when comparing with a known value. The `max_abs_diff` that should be used used
374    /// depends on the values being compared against.
375    ///
376    /// For more see
377    /// [comparing floating point numbers](https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/).
378    #[inline]
379    #[must_use]
380    pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f32) -> bool {
381        self.x_axis.abs_diff_eq(rhs.x_axis, max_abs_diff)
382            && self.y_axis.abs_diff_eq(rhs.y_axis, max_abs_diff)
383    }
384
385    /// Takes the absolute value of each element in `self`
386    #[inline]
387    #[must_use]
388    pub fn abs(&self) -> Self {
389        Self::from_cols(self.x_axis.abs(), self.y_axis.abs())
390    }
391
392    #[inline]
393    pub fn as_dmat2(&self) -> DMat2 {
394        DMat2::from_cols(self.x_axis.as_dvec2(), self.y_axis.as_dvec2())
395    }
396}
397
398impl Default for Mat2 {
399    #[inline]
400    fn default() -> Self {
401        Self::IDENTITY
402    }
403}
404
405impl Add for Mat2 {
406    type Output = Self;
407    #[inline]
408    fn add(self, rhs: Self) -> Self {
409        Self(unsafe { _mm_add_ps(self.0, rhs.0) })
410    }
411}
412
413impl Add<&Self> for Mat2 {
414    type Output = Self;
415    #[inline]
416    fn add(self, rhs: &Self) -> Self {
417        self.add(*rhs)
418    }
419}
420
421impl Add<&Mat2> for &Mat2 {
422    type Output = Mat2;
423    #[inline]
424    fn add(self, rhs: &Mat2) -> Mat2 {
425        (*self).add(*rhs)
426    }
427}
428
429impl Add<Mat2> for &Mat2 {
430    type Output = Mat2;
431    #[inline]
432    fn add(self, rhs: Mat2) -> Mat2 {
433        (*self).add(rhs)
434    }
435}
436
437impl AddAssign for Mat2 {
438    #[inline]
439    fn add_assign(&mut self, rhs: Self) {
440        *self = self.add(rhs);
441    }
442}
443
444impl AddAssign<&Self> for Mat2 {
445    #[inline]
446    fn add_assign(&mut self, rhs: &Self) {
447        self.add_assign(*rhs);
448    }
449}
450
451impl Sub for Mat2 {
452    type Output = Self;
453    #[inline]
454    fn sub(self, rhs: Self) -> Self {
455        Self(unsafe { _mm_sub_ps(self.0, rhs.0) })
456    }
457}
458
459impl Sub<&Self> for Mat2 {
460    type Output = Self;
461    #[inline]
462    fn sub(self, rhs: &Self) -> Self {
463        self.sub(*rhs)
464    }
465}
466
467impl Sub<&Mat2> for &Mat2 {
468    type Output = Mat2;
469    #[inline]
470    fn sub(self, rhs: &Mat2) -> Mat2 {
471        (*self).sub(*rhs)
472    }
473}
474
475impl Sub<Mat2> for &Mat2 {
476    type Output = Mat2;
477    #[inline]
478    fn sub(self, rhs: Mat2) -> Mat2 {
479        (*self).sub(rhs)
480    }
481}
482
483impl SubAssign for Mat2 {
484    #[inline]
485    fn sub_assign(&mut self, rhs: Self) {
486        *self = self.sub(rhs);
487    }
488}
489
490impl SubAssign<&Self> for Mat2 {
491    #[inline]
492    fn sub_assign(&mut self, rhs: &Self) {
493        self.sub_assign(*rhs);
494    }
495}
496
497impl Neg for Mat2 {
498    type Output = Self;
499    #[inline]
500    fn neg(self) -> Self::Output {
501        Self(unsafe { _mm_xor_ps(self.0, _mm_set1_ps(-0.0)) })
502    }
503}
504
505impl Neg for &Mat2 {
506    type Output = Mat2;
507    #[inline]
508    fn neg(self) -> Mat2 {
509        (*self).neg()
510    }
511}
512
513impl Mul for Mat2 {
514    type Output = Self;
515    #[inline]
516    fn mul(self, rhs: Self) -> Self {
517        unsafe {
518            let abcd = self.0;
519            let rhs = rhs.0;
520            let xxyy0 = _mm_shuffle_ps(rhs, rhs, 0b01_01_00_00);
521            let xxyy1 = _mm_shuffle_ps(rhs, rhs, 0b11_11_10_10);
522            let axbxcydy0 = _mm_mul_ps(abcd, xxyy0);
523            let axbxcydy1 = _mm_mul_ps(abcd, xxyy1);
524            let cydyaxbx0 = _mm_shuffle_ps(axbxcydy0, axbxcydy0, 0b01_00_11_10);
525            let cydyaxbx1 = _mm_shuffle_ps(axbxcydy1, axbxcydy1, 0b01_00_11_10);
526            let result0 = _mm_add_ps(axbxcydy0, cydyaxbx0);
527            let result1 = _mm_add_ps(axbxcydy1, cydyaxbx1);
528            Self(_mm_shuffle_ps(result0, result1, 0b01_00_01_00))
529        }
530    }
531}
532
533impl Mul<&Self> for Mat2 {
534    type Output = Self;
535    #[inline]
536    fn mul(self, rhs: &Self) -> Self {
537        self.mul(*rhs)
538    }
539}
540
541impl Mul<&Mat2> for &Mat2 {
542    type Output = Mat2;
543    #[inline]
544    fn mul(self, rhs: &Mat2) -> Mat2 {
545        (*self).mul(*rhs)
546    }
547}
548
549impl Mul<Mat2> for &Mat2 {
550    type Output = Mat2;
551    #[inline]
552    fn mul(self, rhs: Mat2) -> Mat2 {
553        (*self).mul(rhs)
554    }
555}
556
557impl MulAssign for Mat2 {
558    #[inline]
559    fn mul_assign(&mut self, rhs: Self) {
560        *self = self.mul(rhs);
561    }
562}
563
564impl MulAssign<&Self> for Mat2 {
565    #[inline]
566    fn mul_assign(&mut self, rhs: &Self) {
567        self.mul_assign(*rhs);
568    }
569}
570
571impl Mul<Vec2> for Mat2 {
572    type Output = Vec2;
573    #[inline]
574    fn mul(self, rhs: Vec2) -> Self::Output {
575        self.mul_vec2(rhs)
576    }
577}
578
579impl Mul<&Vec2> for Mat2 {
580    type Output = Vec2;
581    #[inline]
582    fn mul(self, rhs: &Vec2) -> Vec2 {
583        self.mul(*rhs)
584    }
585}
586
587impl Mul<&Vec2> for &Mat2 {
588    type Output = Vec2;
589    #[inline]
590    fn mul(self, rhs: &Vec2) -> Vec2 {
591        (*self).mul(*rhs)
592    }
593}
594
595impl Mul<Vec2> for &Mat2 {
596    type Output = Vec2;
597    #[inline]
598    fn mul(self, rhs: Vec2) -> Vec2 {
599        (*self).mul(rhs)
600    }
601}
602
603impl Mul<Mat2> for f32 {
604    type Output = Mat2;
605    #[inline]
606    fn mul(self, rhs: Mat2) -> Self::Output {
607        rhs.mul_scalar(self)
608    }
609}
610
611impl Mul<&Mat2> for f32 {
612    type Output = Mat2;
613    #[inline]
614    fn mul(self, rhs: &Mat2) -> Mat2 {
615        self.mul(*rhs)
616    }
617}
618
619impl Mul<&Mat2> for &f32 {
620    type Output = Mat2;
621    #[inline]
622    fn mul(self, rhs: &Mat2) -> Mat2 {
623        (*self).mul(*rhs)
624    }
625}
626
627impl Mul<Mat2> for &f32 {
628    type Output = Mat2;
629    #[inline]
630    fn mul(self, rhs: Mat2) -> Mat2 {
631        (*self).mul(rhs)
632    }
633}
634
635impl Mul<f32> for Mat2 {
636    type Output = Self;
637    #[inline]
638    fn mul(self, rhs: f32) -> Self {
639        self.mul_scalar(rhs)
640    }
641}
642
643impl Mul<&f32> for Mat2 {
644    type Output = Self;
645    #[inline]
646    fn mul(self, rhs: &f32) -> Self {
647        self.mul(*rhs)
648    }
649}
650
651impl Mul<&f32> for &Mat2 {
652    type Output = Mat2;
653    #[inline]
654    fn mul(self, rhs: &f32) -> Mat2 {
655        (*self).mul(*rhs)
656    }
657}
658
659impl Mul<f32> for &Mat2 {
660    type Output = Mat2;
661    #[inline]
662    fn mul(self, rhs: f32) -> Mat2 {
663        (*self).mul(rhs)
664    }
665}
666
667impl MulAssign<f32> for Mat2 {
668    #[inline]
669    fn mul_assign(&mut self, rhs: f32) {
670        *self = self.mul(rhs);
671    }
672}
673
674impl MulAssign<&f32> for Mat2 {
675    #[inline]
676    fn mul_assign(&mut self, rhs: &f32) {
677        self.mul_assign(*rhs);
678    }
679}
680
681impl Div<Mat2> for f32 {
682    type Output = Mat2;
683    #[inline]
684    fn div(self, rhs: Mat2) -> Self::Output {
685        rhs.div_scalar(self)
686    }
687}
688
689impl Div<&Mat2> for f32 {
690    type Output = Mat2;
691    #[inline]
692    fn div(self, rhs: &Mat2) -> Mat2 {
693        self.div(*rhs)
694    }
695}
696
697impl Div<&Mat2> for &f32 {
698    type Output = Mat2;
699    #[inline]
700    fn div(self, rhs: &Mat2) -> Mat2 {
701        (*self).div(*rhs)
702    }
703}
704
705impl Div<Mat2> for &f32 {
706    type Output = Mat2;
707    #[inline]
708    fn div(self, rhs: Mat2) -> Mat2 {
709        (*self).div(rhs)
710    }
711}
712
713impl Div<f32> for Mat2 {
714    type Output = Self;
715    #[inline]
716    fn div(self, rhs: f32) -> Self {
717        self.div_scalar(rhs)
718    }
719}
720
721impl Div<&f32> for Mat2 {
722    type Output = Self;
723    #[inline]
724    fn div(self, rhs: &f32) -> Self {
725        self.div(*rhs)
726    }
727}
728
729impl Div<&f32> for &Mat2 {
730    type Output = Mat2;
731    #[inline]
732    fn div(self, rhs: &f32) -> Mat2 {
733        (*self).div(*rhs)
734    }
735}
736
737impl Div<f32> for &Mat2 {
738    type Output = Mat2;
739    #[inline]
740    fn div(self, rhs: f32) -> Mat2 {
741        (*self).div(rhs)
742    }
743}
744
745impl DivAssign<f32> for Mat2 {
746    #[inline]
747    fn div_assign(&mut self, rhs: f32) {
748        *self = self.div(rhs);
749    }
750}
751
752impl DivAssign<&f32> for Mat2 {
753    #[inline]
754    fn div_assign(&mut self, rhs: &f32) {
755        self.div_assign(*rhs);
756    }
757}
758
759impl Sum<Self> for Mat2 {
760    fn sum<I>(iter: I) -> Self
761    where
762        I: Iterator<Item = Self>,
763    {
764        iter.fold(Self::ZERO, Self::add)
765    }
766}
767
768impl<'a> Sum<&'a Self> for Mat2 {
769    fn sum<I>(iter: I) -> Self
770    where
771        I: Iterator<Item = &'a Self>,
772    {
773        iter.fold(Self::ZERO, |a, &b| Self::add(a, b))
774    }
775}
776
777impl Product for Mat2 {
778    fn product<I>(iter: I) -> Self
779    where
780        I: Iterator<Item = Self>,
781    {
782        iter.fold(Self::IDENTITY, Self::mul)
783    }
784}
785
786impl<'a> Product<&'a Self> for Mat2 {
787    fn product<I>(iter: I) -> Self
788    where
789        I: Iterator<Item = &'a Self>,
790    {
791        iter.fold(Self::IDENTITY, |a, &b| Self::mul(a, b))
792    }
793}
794
795impl PartialEq for Mat2 {
796    #[inline]
797    fn eq(&self, rhs: &Self) -> bool {
798        self.x_axis.eq(&rhs.x_axis) && self.y_axis.eq(&rhs.y_axis)
799    }
800}
801
802impl AsRef<[f32; 4]> for Mat2 {
803    #[inline]
804    fn as_ref(&self) -> &[f32; 4] {
805        unsafe { &*(self as *const Self as *const [f32; 4]) }
806    }
807}
808
809impl AsMut<[f32; 4]> for Mat2 {
810    #[inline]
811    fn as_mut(&mut self) -> &mut [f32; 4] {
812        unsafe { &mut *(self as *mut Self as *mut [f32; 4]) }
813    }
814}
815
816impl core::ops::Deref for Mat2 {
817    type Target = crate::deref::Cols2<Vec2>;
818    #[inline]
819    fn deref(&self) -> &Self::Target {
820        unsafe { &*(self as *const Self as *const Self::Target) }
821    }
822}
823
824impl core::ops::DerefMut for Mat2 {
825    #[inline]
826    fn deref_mut(&mut self) -> &mut Self::Target {
827        unsafe { &mut *(self as *mut Self as *mut Self::Target) }
828    }
829}
830
831impl fmt::Debug for Mat2 {
832    fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
833        fmt.debug_struct(stringify!(Mat2))
834            .field("x_axis", &self.x_axis)
835            .field("y_axis", &self.y_axis)
836            .finish()
837    }
838}
839
840impl fmt::Display for Mat2 {
841    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
842        if let Some(p) = f.precision() {
843            write!(f, "[{:.*}, {:.*}]", p, self.x_axis, p, self.y_axis)
844        } else {
845            write!(f, "[{}, {}]", self.x_axis, self.y_axis)
846        }
847    }
848}
glam/f32/sse2/mat2.rs

glam/f32/sse2/
mat2.rs
