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#[cfg(feature = "zerocopy")]
14use zerocopy_derive::*;
15
16#[repr(C)]
17union UnionCast {
18    a: [f32; 4],
19    v: Mat2,
20}
21
22/// Creates a 2x2 matrix from two column vectors.
23#[inline(always)]
24#[must_use]
25pub const fn mat2(x_axis: Vec2, y_axis: Vec2) -> Mat2 {
26    Mat2::from_cols(x_axis, y_axis)
27}
28
29/// A 2x2 column major matrix.
30///
31/// SIMD vector types are used for storage on supported platforms.
32///
33/// This type is 16 byte aligned.
34#[derive(Clone, Copy)]
35#[cfg_attr(feature = "bytemuck", derive(bytemuck::Pod, bytemuck::Zeroable))]
36#[cfg_attr(
37    feature = "zerocopy",
38    derive(FromBytes, Immutable, IntoBytes, KnownLayout)
39)]
40#[repr(transparent)]
41pub struct Mat2(pub(crate) __m128);
42
43impl Mat2 {
44    /// A 2x2 matrix with all elements set to `0.0`.
45    pub const ZERO: Self = Self::from_cols(Vec2::ZERO, Vec2::ZERO);
46
47    /// A 2x2 identity matrix, where all diagonal elements are `1`, and all off-diagonal elements are `0`.
48    pub const IDENTITY: Self = Self::from_cols(Vec2::X, Vec2::Y);
49
50    /// All NAN:s.
51    pub const NAN: Self = Self::from_cols(Vec2::NAN, Vec2::NAN);
52
53    #[allow(clippy::too_many_arguments)]
54    #[inline(always)]
55    #[must_use]
56    const fn new(m00: f32, m01: f32, m10: f32, m11: f32) -> Self {
57        unsafe {
58            UnionCast {
59                a: [m00, m01, m10, m11],
60            }
61            .v
62        }
63    }
64
65    /// Creates a 2x2 matrix from two column vectors.
66    #[inline(always)]
67    #[must_use]
68    pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self {
69        unsafe {
70            UnionCast {
71                a: [x_axis.x, x_axis.y, y_axis.x, y_axis.y],
72            }
73            .v
74        }
75    }
76
77    /// Creates a 2x2 matrix from a `[f32; 4]` array stored in column major order.
78    /// If your data is stored in row major you will need to `transpose` the returned
79    /// matrix.
80    #[inline]
81    #[must_use]
82    pub const fn from_cols_array(m: &[f32; 4]) -> Self {
83        Self::new(m[0], m[1], m[2], m[3])
84    }
85
86    /// Creates a `[f32; 4]` array storing data in column major order.
87    /// If you require data in row major order `transpose` the matrix first.
88    #[inline]
89    #[must_use]
90    pub const fn to_cols_array(&self) -> [f32; 4] {
91        unsafe { *(self as *const Self as *const [f32; 4]) }
92    }
93
94    /// Creates a 2x2 matrix from a `[[f32; 2]; 2]` 2D array stored in column major order.
95    /// If your data is in row major order you will need to `transpose` the returned
96    /// matrix.
97    #[inline]
98    #[must_use]
99    pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self {
100        Self::from_cols(Vec2::from_array(m[0]), Vec2::from_array(m[1]))
101    }
102
103    /// Creates a `[[f32; 2]; 2]` 2D array storing data in column major order.
104    /// If you require data in row major order `transpose` the matrix first.
105    #[inline]
106    #[must_use]
107    pub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2] {
108        unsafe { *(self as *const Self as *const [[f32; 2]; 2]) }
109    }
110
111    /// Creates a 2x2 matrix with its diagonal set to `diagonal` and all other entries set to 0.
112    #[doc(alias = "scale")]
113    #[inline]
114    #[must_use]
115    pub const fn from_diagonal(diagonal: Vec2) -> Self {
116        Self::new(diagonal.x, 0.0, 0.0, diagonal.y)
117    }
118
119    /// Creates a 2x2 matrix containing the combining non-uniform `scale` and rotation of
120    /// `angle` (in radians).
121    #[inline]
122    #[must_use]
123    pub fn from_scale_angle(scale: Vec2, angle: f32) -> Self {
124        let (sin, cos) = math::sin_cos(angle);
125        Self::new(cos * scale.x, sin * scale.x, -sin * scale.y, cos * scale.y)
126    }
127
128    /// Creates a 2x2 matrix containing a rotation of `angle` (in radians).
129    #[inline]
130    #[must_use]
131    pub fn from_angle(angle: f32) -> Self {
132        let (sin, cos) = math::sin_cos(angle);
133        Self::new(cos, sin, -sin, cos)
134    }
135
136    /// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
137    #[inline]
138    #[must_use]
139    pub fn from_mat3(m: Mat3) -> Self {
140        Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
141    }
142
143    /// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
144    /// and `j`th row.
145    ///
146    /// # Panics
147    ///
148    /// Panics if `i` or `j` is greater than 2.
149    #[inline]
150    #[must_use]
151    pub fn from_mat3_minor(m: Mat3, i: usize, j: usize) -> Self {
152        match (i, j) {
153            (0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
154            (0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
155            (0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
156            (1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
157            (1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
158            (1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
159            (2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
160            (2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
161            (2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
162            _ => panic!("index out of bounds"),
163        }
164    }
165
166    /// Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
167    #[inline]
168    #[must_use]
169    pub fn from_mat3a(m: Mat3A) -> Self {
170        Self::from_cols(m.x_axis.xy(), m.y_axis.xy())
171    }
172
173    /// Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the `i`th column
174    /// and `j`th row.
175    ///
176    /// # Panics
177    ///
178    /// Panics if `i` or `j` is greater than 2.
179    #[inline]
180    #[must_use]
181    pub fn from_mat3a_minor(m: Mat3A, i: usize, j: usize) -> Self {
182        match (i, j) {
183            (0, 0) => Self::from_cols(m.y_axis.yz(), m.z_axis.yz()),
184            (0, 1) => Self::from_cols(m.y_axis.xz(), m.z_axis.xz()),
185            (0, 2) => Self::from_cols(m.y_axis.xy(), m.z_axis.xy()),
186            (1, 0) => Self::from_cols(m.x_axis.yz(), m.z_axis.yz()),
187            (1, 1) => Self::from_cols(m.x_axis.xz(), m.z_axis.xz()),
188            (1, 2) => Self::from_cols(m.x_axis.xy(), m.z_axis.xy()),
189            (2, 0) => Self::from_cols(m.x_axis.yz(), m.y_axis.yz()),
190            (2, 1) => Self::from_cols(m.x_axis.xz(), m.y_axis.xz()),
191            (2, 2) => Self::from_cols(m.x_axis.xy(), m.y_axis.xy()),
192            _ => panic!("index out of bounds"),
193        }
194    }
195
196    /// Creates a 2x2 matrix from the first 4 values in `slice`.
197    ///
198    /// # Panics
199    ///
200    /// Panics if `slice` is less than 4 elements long.
201    #[inline]
202    #[must_use]
203    pub const fn from_cols_slice(slice: &[f32]) -> Self {
204        Self::new(slice[0], slice[1], slice[2], slice[3])
205    }
206
207    /// Writes the columns of `self` to the first 4 elements in `slice`.
208    ///
209    /// # Panics
210    ///
211    /// Panics if `slice` is less than 4 elements long.
212    #[inline]
213    pub fn write_cols_to_slice(&self, slice: &mut [f32]) {
214        slice[0] = self.x_axis.x;
215        slice[1] = self.x_axis.y;
216        slice[2] = self.y_axis.x;
217        slice[3] = self.y_axis.y;
218    }
219
220    /// Returns the matrix column for the given `index`.
221    ///
222    /// # Panics
223    ///
224    /// Panics if `index` is greater than 1.
225    #[inline]
226    #[must_use]
227    pub fn col(&self, index: usize) -> Vec2 {
228        match index {
229            0 => self.x_axis,
230            1 => self.y_axis,
231            _ => panic!("index out of bounds"),
232        }
233    }
234
235    /// Returns a mutable reference to the matrix column for the given `index`.
236    ///
237    /// # Panics
238    ///
239    /// Panics if `index` is greater than 1.
240    #[inline]
241    pub fn col_mut(&mut self, index: usize) -> &mut Vec2 {
242        match index {
243            0 => &mut self.x_axis,
244            1 => &mut self.y_axis,
245            _ => panic!("index out of bounds"),
246        }
247    }
248
249    /// Returns the matrix row for the given `index`.
250    ///
251    /// # Panics
252    ///
253    /// Panics if `index` is greater than 1.
254    #[inline]
255    #[must_use]
256    pub fn row(&self, index: usize) -> Vec2 {
257        match index {
258            0 => Vec2::new(self.x_axis.x, self.y_axis.x),
259            1 => Vec2::new(self.x_axis.y, self.y_axis.y),
260            _ => panic!("index out of bounds"),
261        }
262    }
263
264    /// Returns `true` if, and only if, all elements are finite.
265    /// If any element is either `NaN`, positive or negative infinity, this will return `false`.
266    #[inline]
267    #[must_use]
268    pub fn is_finite(&self) -> bool {
269        self.x_axis.is_finite() && self.y_axis.is_finite()
270    }
271
272    /// Returns `true` if any elements are `NaN`.
273    #[inline]
274    #[must_use]
275    pub fn is_nan(&self) -> bool {
276        self.x_axis.is_nan() || self.y_axis.is_nan()
277    }
278
279    /// Returns the transpose of `self`.
280    #[inline]
281    #[must_use]
282    pub fn transpose(&self) -> Self {
283        Self(unsafe { _mm_shuffle_ps(self.0, self.0, 0b11_01_10_00) })
284    }
285
286    /// Returns the diagonal of `self`.
287    #[inline]
288    #[must_use]
289    pub fn diagonal(&self) -> Vec2 {
290        Vec2::new(self.x_axis.x, self.y_axis.y)
291    }
292
293    /// Returns the determinant of `self`.
294    #[inline]
295    #[must_use]
296    pub fn determinant(&self) -> f32 {
297        unsafe {
298            let abcd = self.0;
299            let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
300            let prod = _mm_mul_ps(abcd, dcba);
301            let det = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
302            _mm_cvtss_f32(det)
303        }
304    }
305
306    /// If `CHECKED` is true then if the determinant is zero this function will return a tuple
307    /// containing a zero matrix and false. If the determinant is non zero a tuple containing the
308    /// inverted matrix and true is returned.
309    ///
310    /// If `CHECKED` is false then the determinant is not checked and if it is zero the resulting
311    /// inverted matrix will be invalid. Will panic if the determinant of `self` is zero when
312    /// `glam_assert` is enabled.
313    ///
314    /// A tuple containing the inverted matrix and a bool is used instead of an option here as
315    /// regular Rust enums put the discriminant first which can result in a lot of padding if the
316    /// matrix is aligned.
317    #[inline(always)]
318    #[must_use]
319    fn inverse_checked<const CHECKED: bool>(&self) -> (Self, bool) {
320        unsafe {
321            use crate::Vec4;
322            const SIGN: __m128 = crate::sse2::m128_from_f32x4([1.0, -1.0, -1.0, 1.0]);
323            let abcd = self.0;
324            let dcba = _mm_shuffle_ps(abcd, abcd, 0b00_01_10_11);
325            let prod = _mm_mul_ps(abcd, dcba);
326            let sub = _mm_sub_ps(prod, _mm_shuffle_ps(prod, prod, 0b01_01_01_01));
327            let det = _mm_shuffle_ps(sub, sub, 0b00_00_00_00);
328            if CHECKED {
329                if Vec4(det) == Vec4::ZERO {
330                    return (Self::ZERO, false);
331                }
332            } else {
333                glam_assert!(Vec4(det).cmpne(Vec4::ZERO).all());
334            }
335            let tmp = _mm_div_ps(SIGN, det);
336            let dbca = _mm_shuffle_ps(abcd, abcd, 0b00_10_01_11);
337            (Self(_mm_mul_ps(dbca, tmp)), true)
338        }
339    }
340
341    /// Returns the inverse of `self`.
342    ///
343    /// If the matrix is not invertible the returned matrix will be invalid.
344    ///
345    /// # Panics
346    ///
347    /// Will panic if the determinant of `self` is zero when `glam_assert` is enabled.
348    #[inline]
349    #[must_use]
350    pub fn inverse(&self) -> Self {
351        self.inverse_checked::<false>().0
352    }
353
354    /// Returns the inverse of `self` or `None` if the matrix is not invertible.
355    #[inline]
356    #[must_use]
357    pub fn try_inverse(&self) -> Option<Self> {
358        let (m, is_valid) = self.inverse_checked::<true>();
359        if is_valid {
360            Some(m)
361        } else {
362            None
363        }
364    }
365
366    /// Returns the inverse of `self` or `Mat2::ZERO` if the matrix is not invertible.
367    #[inline]
368    #[must_use]
369    pub fn inverse_or_zero(&self) -> Self {
370        self.inverse_checked::<true>().0
371    }
372
373    /// Transforms a 2D vector.
374    #[inline]
375    #[must_use]
376    pub fn mul_vec2(&self, rhs: Vec2) -> Vec2 {
377        unsafe {
378            use crate::Align16;
379            use core::mem::MaybeUninit;
380            let abcd = self.0;
381            let xxyy = _mm_set_ps(rhs.y, rhs.y, rhs.x, rhs.x);
382            let axbxcydy = _mm_mul_ps(abcd, xxyy);
383            let cydyaxbx = _mm_shuffle_ps(axbxcydy, axbxcydy, 0b01_00_11_10);
384            let result = _mm_add_ps(axbxcydy, cydyaxbx);
385            let mut out: MaybeUninit<Align16<Vec2>> = MaybeUninit::uninit();
386            _mm_store_ps(out.as_mut_ptr().cast(), result);
387            out.assume_init().0
388        }
389    }
390
391    /// Transforms a 2D vector by the transpose of `self`.
392    #[inline]
393    #[must_use]
394    pub fn mul_transpose_vec2(&self, rhs: Vec2) -> Vec2 {
395        Vec2::new(self.x_axis.dot(rhs), self.y_axis.dot(rhs))
396    }
397
398    /// Multiplies two 2x2 matrices.
399    #[inline]
400    #[must_use]
401    pub fn mul_mat2(&self, rhs: &Self) -> Self {
402        self.mul(rhs)
403    }
404
405    /// Adds two 2x2 matrices.
406    #[inline]
407    #[must_use]
408    pub fn add_mat2(&self, rhs: &Self) -> Self {
409        self.add(rhs)
410    }
411
412    /// Subtracts two 2x2 matrices.
413    #[inline]
414    #[must_use]
415    pub fn sub_mat2(&self, rhs: &Self) -> Self {
416        self.sub(rhs)
417    }
418
419    /// Multiplies a 2x2 matrix by a scalar.
420    #[inline]
421    #[must_use]
422    pub fn mul_scalar(&self, rhs: f32) -> Self {
423        Self(unsafe { _mm_mul_ps(self.0, _mm_set_ps1(rhs)) })
424    }
425
426    /// Multiply `self` by a scaling vector `scale`.
427    /// This is faster than creating a whole diagonal scaling matrix and then multiplying that.
428    /// This operation is commutative.
429    #[inline]
430    #[must_use]
431    pub fn mul_diagonal_scale(&self, scale: Vec2) -> Self {
432        Self::from_cols(self.x_axis * scale.x, self.y_axis * scale.y)
433    }
434
435    /// Divides a 2x2 matrix by a scalar.
436    #[inline]
437    #[must_use]
438    pub fn div_scalar(&self, rhs: f32) -> Self {
439        Self(unsafe { _mm_div_ps(self.0, _mm_set_ps1(rhs)) })
440    }
441
442    /// Returns a matrix containing the reciprocal `1.0/n` of each element of `self`.
443    #[inline]
444    #[must_use]
445    pub fn recip(&self) -> Self {
446        Self::from_cols(self.x_axis.recip(), self.y_axis.recip())
447    }
448
449    /// Returns true if the absolute difference of all elements between `self` and `rhs`
450    /// is less than or equal to `max_abs_diff`.
451    ///
452    /// This can be used to compare if two matrices contain similar elements. It works best
453    /// when comparing with a known value. The `max_abs_diff` that should be used used
454    /// depends on the values being compared against.
455    ///
456    /// For more see
457    /// [comparing floating point numbers](https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/).
458    #[inline]
459    #[must_use]
460    pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f32) -> bool {
461        self.x_axis.abs_diff_eq(rhs.x_axis, max_abs_diff)
462            && self.y_axis.abs_diff_eq(rhs.y_axis, max_abs_diff)
463    }
464
465    /// Takes the absolute value of each element in `self`
466    #[inline]
467    #[must_use]
468    pub fn abs(&self) -> Self {
469        Self::from_cols(self.x_axis.abs(), self.y_axis.abs())
470    }
471
472    #[inline]
473    pub fn as_dmat2(&self) -> DMat2 {
474        DMat2::from_cols(self.x_axis.as_dvec2(), self.y_axis.as_dvec2())
475    }
476}
477
478impl Default for Mat2 {
479    #[inline]
480    fn default() -> Self {
481        Self::IDENTITY
482    }
483}
484
485impl Add for Mat2 {
486    type Output = Self;
487    #[inline]
488    fn add(self, rhs: Self) -> Self {
489        Self(unsafe { _mm_add_ps(self.0, rhs.0) })
490    }
491}
492
493impl Add<&Self> for Mat2 {
494    type Output = Self;
495    #[inline]
496    fn add(self, rhs: &Self) -> Self {
497        self.add(*rhs)
498    }
499}
500
501impl Add<&Mat2> for &Mat2 {
502    type Output = Mat2;
503    #[inline]
504    fn add(self, rhs: &Mat2) -> Mat2 {
505        (*self).add(*rhs)
506    }
507}
508
509impl Add<Mat2> for &Mat2 {
510    type Output = Mat2;
511    #[inline]
512    fn add(self, rhs: Mat2) -> Mat2 {
513        (*self).add(rhs)
514    }
515}
516
517impl AddAssign for Mat2 {
518    #[inline]
519    fn add_assign(&mut self, rhs: Self) {
520        *self = self.add(rhs);
521    }
522}
523
524impl AddAssign<&Self> for Mat2 {
525    #[inline]
526    fn add_assign(&mut self, rhs: &Self) {
527        self.add_assign(*rhs);
528    }
529}
530
531impl Sub for Mat2 {
532    type Output = Self;
533    #[inline]
534    fn sub(self, rhs: Self) -> Self {
535        Self(unsafe { _mm_sub_ps(self.0, rhs.0) })
536    }
537}
538
539impl Sub<&Self> for Mat2 {
540    type Output = Self;
541    #[inline]
542    fn sub(self, rhs: &Self) -> Self {
543        self.sub(*rhs)
544    }
545}
546
547impl Sub<&Mat2> for &Mat2 {
548    type Output = Mat2;
549    #[inline]
550    fn sub(self, rhs: &Mat2) -> Mat2 {
551        (*self).sub(*rhs)
552    }
553}
554
555impl Sub<Mat2> for &Mat2 {
556    type Output = Mat2;
557    #[inline]
558    fn sub(self, rhs: Mat2) -> Mat2 {
559        (*self).sub(rhs)
560    }
561}
562
563impl SubAssign for Mat2 {
564    #[inline]
565    fn sub_assign(&mut self, rhs: Self) {
566        *self = self.sub(rhs);
567    }
568}
569
570impl SubAssign<&Self> for Mat2 {
571    #[inline]
572    fn sub_assign(&mut self, rhs: &Self) {
573        self.sub_assign(*rhs);
574    }
575}
576
577impl Neg for Mat2 {
578    type Output = Self;
579    #[inline]
580    fn neg(self) -> Self::Output {
581        Self(unsafe { _mm_xor_ps(self.0, _mm_set1_ps(-0.0)) })
582    }
583}
584
585impl Neg for &Mat2 {
586    type Output = Mat2;
587    #[inline]
588    fn neg(self) -> Mat2 {
589        (*self).neg()
590    }
591}
592
593impl Mul for Mat2 {
594    type Output = Self;
595    #[inline]
596    fn mul(self, rhs: Self) -> Self {
597        unsafe {
598            let abcd = self.0;
599            let rhs = rhs.0;
600            let xxyy0 = _mm_shuffle_ps(rhs, rhs, 0b01_01_00_00);
601            let xxyy1 = _mm_shuffle_ps(rhs, rhs, 0b11_11_10_10);
602            let axbxcydy0 = _mm_mul_ps(abcd, xxyy0);
603            let axbxcydy1 = _mm_mul_ps(abcd, xxyy1);
604            let cydyaxbx0 = _mm_shuffle_ps(axbxcydy0, axbxcydy0, 0b01_00_11_10);
605            let cydyaxbx1 = _mm_shuffle_ps(axbxcydy1, axbxcydy1, 0b01_00_11_10);
606            let result0 = _mm_add_ps(axbxcydy0, cydyaxbx0);
607            let result1 = _mm_add_ps(axbxcydy1, cydyaxbx1);
608            Self(_mm_shuffle_ps(result0, result1, 0b01_00_01_00))
609        }
610    }
611}
612
613impl Mul<&Self> for Mat2 {
614    type Output = Self;
615    #[inline]
616    fn mul(self, rhs: &Self) -> Self {
617        self.mul(*rhs)
618    }
619}
620
621impl Mul<&Mat2> for &Mat2 {
622    type Output = Mat2;
623    #[inline]
624    fn mul(self, rhs: &Mat2) -> Mat2 {
625        (*self).mul(*rhs)
626    }
627}
628
629impl Mul<Mat2> for &Mat2 {
630    type Output = Mat2;
631    #[inline]
632    fn mul(self, rhs: Mat2) -> Mat2 {
633        (*self).mul(rhs)
634    }
635}
636
637impl MulAssign for Mat2 {
638    #[inline]
639    fn mul_assign(&mut self, rhs: Self) {
640        *self = self.mul(rhs);
641    }
642}
643
644impl MulAssign<&Self> for Mat2 {
645    #[inline]
646    fn mul_assign(&mut self, rhs: &Self) {
647        self.mul_assign(*rhs);
648    }
649}
650
651impl Mul<Vec2> for Mat2 {
652    type Output = Vec2;
653    #[inline]
654    fn mul(self, rhs: Vec2) -> Self::Output {
655        self.mul_vec2(rhs)
656    }
657}
658
659impl Mul<&Vec2> for Mat2 {
660    type Output = Vec2;
661    #[inline]
662    fn mul(self, rhs: &Vec2) -> Vec2 {
663        self.mul(*rhs)
664    }
665}
666
667impl Mul<&Vec2> for &Mat2 {
668    type Output = Vec2;
669    #[inline]
670    fn mul(self, rhs: &Vec2) -> Vec2 {
671        (*self).mul(*rhs)
672    }
673}
674
675impl Mul<Vec2> for &Mat2 {
676    type Output = Vec2;
677    #[inline]
678    fn mul(self, rhs: Vec2) -> Vec2 {
679        (*self).mul(rhs)
680    }
681}
682
683impl Mul<Mat2> for f32 {
684    type Output = Mat2;
685    #[inline]
686    fn mul(self, rhs: Mat2) -> Self::Output {
687        rhs.mul_scalar(self)
688    }
689}
690
691impl Mul<&Mat2> for f32 {
692    type Output = Mat2;
693    #[inline]
694    fn mul(self, rhs: &Mat2) -> Mat2 {
695        self.mul(*rhs)
696    }
697}
698
699impl Mul<&Mat2> for &f32 {
700    type Output = Mat2;
701    #[inline]
702    fn mul(self, rhs: &Mat2) -> Mat2 {
703        (*self).mul(*rhs)
704    }
705}
706
707impl Mul<Mat2> for &f32 {
708    type Output = Mat2;
709    #[inline]
710    fn mul(self, rhs: Mat2) -> Mat2 {
711        (*self).mul(rhs)
712    }
713}
714
715impl Mul<f32> for Mat2 {
716    type Output = Self;
717    #[inline]
718    fn mul(self, rhs: f32) -> Self {
719        self.mul_scalar(rhs)
720    }
721}
722
723impl Mul<&f32> for Mat2 {
724    type Output = Self;
725    #[inline]
726    fn mul(self, rhs: &f32) -> Self {
727        self.mul(*rhs)
728    }
729}
730
731impl Mul<&f32> for &Mat2 {
732    type Output = Mat2;
733    #[inline]
734    fn mul(self, rhs: &f32) -> Mat2 {
735        (*self).mul(*rhs)
736    }
737}
738
739impl Mul<f32> for &Mat2 {
740    type Output = Mat2;
741    #[inline]
742    fn mul(self, rhs: f32) -> Mat2 {
743        (*self).mul(rhs)
744    }
745}
746
747impl MulAssign<f32> for Mat2 {
748    #[inline]
749    fn mul_assign(&mut self, rhs: f32) {
750        *self = self.mul(rhs);
751    }
752}
753
754impl MulAssign<&f32> for Mat2 {
755    #[inline]
756    fn mul_assign(&mut self, rhs: &f32) {
757        self.mul_assign(*rhs);
758    }
759}
760
761impl Div<Mat2> for f32 {
762    type Output = Mat2;
763    #[inline]
764    fn div(self, rhs: Mat2) -> Self::Output {
765        Mat2(unsafe { _mm_div_ps(_mm_set_ps1(self), rhs.0) })
766    }
767}
768
769impl Div<&Mat2> for f32 {
770    type Output = Mat2;
771    #[inline]
772    fn div(self, rhs: &Mat2) -> Mat2 {
773        self.div(*rhs)
774    }
775}
776
777impl Div<&Mat2> for &f32 {
778    type Output = Mat2;
779    #[inline]
780    fn div(self, rhs: &Mat2) -> Mat2 {
781        (*self).div(*rhs)
782    }
783}
784
785impl Div<Mat2> for &f32 {
786    type Output = Mat2;
787    #[inline]
788    fn div(self, rhs: Mat2) -> Mat2 {
789        (*self).div(rhs)
790    }
791}
792
793impl Div<f32> for Mat2 {
794    type Output = Self;
795    #[inline]
796    fn div(self, rhs: f32) -> Self {
797        self.div_scalar(rhs)
798    }
799}
800
801impl Div<&f32> for Mat2 {
802    type Output = Self;
803    #[inline]
804    fn div(self, rhs: &f32) -> Self {
805        self.div(*rhs)
806    }
807}
808
809impl Div<&f32> for &Mat2 {
810    type Output = Mat2;
811    #[inline]
812    fn div(self, rhs: &f32) -> Mat2 {
813        (*self).div(*rhs)
814    }
815}
816
817impl Div<f32> for &Mat2 {
818    type Output = Mat2;
819    #[inline]
820    fn div(self, rhs: f32) -> Mat2 {
821        (*self).div(rhs)
822    }
823}
824
825impl DivAssign<f32> for Mat2 {
826    #[inline]
827    fn div_assign(&mut self, rhs: f32) {
828        *self = self.div(rhs);
829    }
830}
831
832impl DivAssign<&f32> for Mat2 {
833    #[inline]
834    fn div_assign(&mut self, rhs: &f32) {
835        self.div_assign(*rhs);
836    }
837}
838
839impl Sum<Self> for Mat2 {
840    fn sum<I>(iter: I) -> Self
841    where
842        I: Iterator<Item = Self>,
843    {
844        iter.fold(Self::ZERO, Self::add)
845    }
846}
847
848impl<'a> Sum<&'a Self> for Mat2 {
849    fn sum<I>(iter: I) -> Self
850    where
851        I: Iterator<Item = &'a Self>,
852    {
853        iter.fold(Self::ZERO, |a, &b| Self::add(a, b))
854    }
855}
856
857impl Product for Mat2 {
858    fn product<I>(iter: I) -> Self
859    where
860        I: Iterator<Item = Self>,
861    {
862        iter.fold(Self::IDENTITY, Self::mul)
863    }
864}
865
866impl<'a> Product<&'a Self> for Mat2 {
867    fn product<I>(iter: I) -> Self
868    where
869        I: Iterator<Item = &'a Self>,
870    {
871        iter.fold(Self::IDENTITY, |a, &b| Self::mul(a, b))
872    }
873}
874
875impl PartialEq for Mat2 {
876    #[inline]
877    fn eq(&self, rhs: &Self) -> bool {
878        self.x_axis.eq(&rhs.x_axis) && self.y_axis.eq(&rhs.y_axis)
879    }
880}
881
882impl AsRef<[f32; 4]> for Mat2 {
883    #[inline]
884    fn as_ref(&self) -> &[f32; 4] {
885        unsafe { &*(self as *const Self as *const [f32; 4]) }
886    }
887}
888
889impl AsMut<[f32; 4]> for Mat2 {
890    #[inline]
891    fn as_mut(&mut self) -> &mut [f32; 4] {
892        unsafe { &mut *(self as *mut Self as *mut [f32; 4]) }
893    }
894}
895
896impl core::ops::Deref for Mat2 {
897    type Target = crate::deref::Cols2<Vec2>;
898    #[inline]
899    fn deref(&self) -> &Self::Target {
900        unsafe { &*(self as *const Self as *const Self::Target) }
901    }
902}
903
904impl core::ops::DerefMut for Mat2 {
905    #[inline]
906    fn deref_mut(&mut self) -> &mut Self::Target {
907        unsafe { &mut *(self as *mut Self as *mut Self::Target) }
908    }
909}
910
911impl fmt::Debug for Mat2 {
912    fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
913        fmt.debug_struct(stringify!(Mat2))
914            .field("x_axis", &self.x_axis)
915            .field("y_axis", &self.y_axis)
916            .finish()
917    }
918}
919
920impl fmt::Display for Mat2 {
921    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
922        if let Some(p) = f.precision() {
923            write!(f, "[{:.*}, {:.*}]", p, self.x_axis, p, self.y_axis)
924        } else {
925            write!(f, "[{}, {}]", self.x_axis, self.y_axis)
926        }
927    }
928}
glam/f32/sse2/mat2.rs

glam/f32/sse2/
mat2.rs
