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1 // Generated from affine.rs.tera template. Edit the template, not the generated file.
2 
3 use crate::{DMat3, DMat4, DQuat, DVec3};
4 use core::ops::{Deref, DerefMut, Mul, MulAssign};
5 
6 /// A 3D affine transform, which can represent translation, rotation, scaling and shear.
7 #[derive(Copy, Clone)]
8 #[repr(C)]
9 pub struct DAffine3 {
10     pub matrix3: DMat3,
11     pub translation: DVec3,
12 }
13 
14 impl DAffine3 {
15     /// The degenerate zero transform.
16     ///
17     /// This transforms any finite vector and point to zero.
18     /// The zero transform is non-invertible.
19     pub const ZERO: Self = Self {
20         matrix3: DMat3::ZERO,
21         translation: DVec3::ZERO,
22     };
23 
24     /// The identity transform.
25     ///
26     /// Multiplying a vector with this returns the same vector.
27     pub const IDENTITY: Self = Self {
28         matrix3: DMat3::IDENTITY,
29         translation: DVec3::ZERO,
30     };
31 
32     /// All NAN:s.
33     pub const NAN: Self = Self {
34         matrix3: DMat3::NAN,
35         translation: DVec3::NAN,
36     };
37 
38     /// Creates an affine transform from three column vectors.
39     #[inline(always)]
40     #[must_use]
from_cols(x_axis: DVec3, y_axis: DVec3, z_axis: DVec3, w_axis: DVec3) -> Self41     pub const fn from_cols(x_axis: DVec3, y_axis: DVec3, z_axis: DVec3, w_axis: DVec3) -> Self {
42         Self {
43             matrix3: DMat3::from_cols(x_axis, y_axis, z_axis),
44             translation: w_axis,
45         }
46     }
47 
48     /// Creates an affine transform from a `[f64; 12]` array stored in column major order.
49     #[inline]
50     #[must_use]
from_cols_array(m: &[f64; 12]) -> Self51     pub fn from_cols_array(m: &[f64; 12]) -> Self {
52         Self {
53             matrix3: DMat3::from_cols_array(&[
54                 m[0], m[1], m[2], m[3], m[4], m[5], m[6], m[7], m[8],
55             ]),
56             translation: DVec3::from_array([m[9], m[10], m[11]]),
57         }
58     }
59 
60     /// Creates a `[f64; 12]` array storing data in column major order.
61     #[inline]
62     #[must_use]
to_cols_array(&self) -> [f64; 12]63     pub fn to_cols_array(&self) -> [f64; 12] {
64         let x = &self.matrix3.x_axis;
65         let y = &self.matrix3.y_axis;
66         let z = &self.matrix3.z_axis;
67         let w = &self.translation;
68         [x.x, x.y, x.z, y.x, y.y, y.z, z.x, z.y, z.z, w.x, w.y, w.z]
69     }
70 
71     /// Creates an affine transform from a `[[f64; 3]; 4]`
72     /// 3D array stored in column major order.
73     /// If your data is in row major order you will need to `transpose` the returned
74     /// matrix.
75     #[inline]
76     #[must_use]
from_cols_array_2d(m: &[[f64; 3]; 4]) -> Self77     pub fn from_cols_array_2d(m: &[[f64; 3]; 4]) -> Self {
78         Self {
79             matrix3: DMat3::from_cols(m[0].into(), m[1].into(), m[2].into()),
80             translation: m[3].into(),
81         }
82     }
83 
84     /// Creates a `[[f64; 3]; 4]` 3D array storing data in
85     /// column major order.
86     /// If you require data in row major order `transpose` the matrix first.
87     #[inline]
88     #[must_use]
to_cols_array_2d(&self) -> [[f64; 3]; 4]89     pub fn to_cols_array_2d(&self) -> [[f64; 3]; 4] {
90         [
91             self.matrix3.x_axis.into(),
92             self.matrix3.y_axis.into(),
93             self.matrix3.z_axis.into(),
94             self.translation.into(),
95         ]
96     }
97 
98     /// Creates an affine transform from the first 12 values in `slice`.
99     ///
100     /// # Panics
101     ///
102     /// Panics if `slice` is less than 12 elements long.
103     #[inline]
104     #[must_use]
from_cols_slice(slice: &[f64]) -> Self105     pub fn from_cols_slice(slice: &[f64]) -> Self {
106         Self {
107             matrix3: DMat3::from_cols_slice(&slice[0..9]),
108             translation: DVec3::from_slice(&slice[9..12]),
109         }
110     }
111 
112     /// Writes the columns of `self` to the first 12 elements in `slice`.
113     ///
114     /// # Panics
115     ///
116     /// Panics if `slice` is less than 12 elements long.
117     #[inline]
write_cols_to_slice(self, slice: &mut [f64])118     pub fn write_cols_to_slice(self, slice: &mut [f64]) {
119         self.matrix3.write_cols_to_slice(&mut slice[0..9]);
120         self.translation.write_to_slice(&mut slice[9..12]);
121     }
122 
123     /// Creates an affine transform that changes scale.
124     /// Note that if any scale is zero the transform will be non-invertible.
125     #[inline]
126     #[must_use]
from_scale(scale: DVec3) -> Self127     pub fn from_scale(scale: DVec3) -> Self {
128         Self {
129             matrix3: DMat3::from_diagonal(scale),
130             translation: DVec3::ZERO,
131         }
132     }
133     /// Creates an affine transform from the given `rotation` quaternion.
134     #[inline]
135     #[must_use]
from_quat(rotation: DQuat) -> Self136     pub fn from_quat(rotation: DQuat) -> Self {
137         Self {
138             matrix3: DMat3::from_quat(rotation),
139             translation: DVec3::ZERO,
140         }
141     }
142 
143     /// Creates an affine transform containing a 3D rotation around a normalized
144     /// rotation `axis` of `angle` (in radians).
145     #[inline]
146     #[must_use]
from_axis_angle(axis: DVec3, angle: f64) -> Self147     pub fn from_axis_angle(axis: DVec3, angle: f64) -> Self {
148         Self {
149             matrix3: DMat3::from_axis_angle(axis, angle),
150             translation: DVec3::ZERO,
151         }
152     }
153 
154     /// Creates an affine transform containing a 3D rotation around the x axis of
155     /// `angle` (in radians).
156     #[inline]
157     #[must_use]
from_rotation_x(angle: f64) -> Self158     pub fn from_rotation_x(angle: f64) -> Self {
159         Self {
160             matrix3: DMat3::from_rotation_x(angle),
161             translation: DVec3::ZERO,
162         }
163     }
164 
165     /// Creates an affine transform containing a 3D rotation around the y axis of
166     /// `angle` (in radians).
167     #[inline]
168     #[must_use]
from_rotation_y(angle: f64) -> Self169     pub fn from_rotation_y(angle: f64) -> Self {
170         Self {
171             matrix3: DMat3::from_rotation_y(angle),
172             translation: DVec3::ZERO,
173         }
174     }
175 
176     /// Creates an affine transform containing a 3D rotation around the z axis of
177     /// `angle` (in radians).
178     #[inline]
179     #[must_use]
from_rotation_z(angle: f64) -> Self180     pub fn from_rotation_z(angle: f64) -> Self {
181         Self {
182             matrix3: DMat3::from_rotation_z(angle),
183             translation: DVec3::ZERO,
184         }
185     }
186 
187     /// Creates an affine transformation from the given 3D `translation`.
188     #[inline]
189     #[must_use]
from_translation(translation: DVec3) -> Self190     pub fn from_translation(translation: DVec3) -> Self {
191         #[allow(clippy::useless_conversion)]
192         Self {
193             matrix3: DMat3::IDENTITY,
194             translation: translation.into(),
195         }
196     }
197 
198     /// Creates an affine transform from a 3x3 matrix (expressing scale, shear and
199     /// rotation)
200     #[inline]
201     #[must_use]
from_mat3(mat3: DMat3) -> Self202     pub fn from_mat3(mat3: DMat3) -> Self {
203         #[allow(clippy::useless_conversion)]
204         Self {
205             matrix3: mat3.into(),
206             translation: DVec3::ZERO,
207         }
208     }
209 
210     /// Creates an affine transform from a 3x3 matrix (expressing scale, shear and rotation)
211     /// and a translation vector.
212     ///
213     /// Equivalent to `DAffine3::from_translation(translation) * DAffine3::from_mat3(mat3)`
214     #[inline]
215     #[must_use]
from_mat3_translation(mat3: DMat3, translation: DVec3) -> Self216     pub fn from_mat3_translation(mat3: DMat3, translation: DVec3) -> Self {
217         #[allow(clippy::useless_conversion)]
218         Self {
219             matrix3: mat3.into(),
220             translation: translation.into(),
221         }
222     }
223 
224     /// Creates an affine transform from the given 3D `scale`, `rotation` and
225     /// `translation`.
226     ///
227     /// Equivalent to `DAffine3::from_translation(translation) *
228     /// DAffine3::from_quat(rotation) * DAffine3::from_scale(scale)`
229     #[inline]
230     #[must_use]
from_scale_rotation_translation( scale: DVec3, rotation: DQuat, translation: DVec3, ) -> Self231     pub fn from_scale_rotation_translation(
232         scale: DVec3,
233         rotation: DQuat,
234         translation: DVec3,
235     ) -> Self {
236         let rotation = DMat3::from_quat(rotation);
237         #[allow(clippy::useless_conversion)]
238         Self {
239             matrix3: DMat3::from_cols(
240                 rotation.x_axis * scale.x,
241                 rotation.y_axis * scale.y,
242                 rotation.z_axis * scale.z,
243             ),
244             translation: translation.into(),
245         }
246     }
247 
248     /// Creates an affine transform from the given 3D `rotation` and `translation`.
249     ///
250     /// Equivalent to `DAffine3::from_translation(translation) * DAffine3::from_quat(rotation)`
251     #[inline]
252     #[must_use]
from_rotation_translation(rotation: DQuat, translation: DVec3) -> Self253     pub fn from_rotation_translation(rotation: DQuat, translation: DVec3) -> Self {
254         #[allow(clippy::useless_conversion)]
255         Self {
256             matrix3: DMat3::from_quat(rotation),
257             translation: translation.into(),
258         }
259     }
260 
261     /// The given `DMat4` must be an affine transform,
262     /// i.e. contain no perspective transform.
263     #[inline]
264     #[must_use]
from_mat4(m: DMat4) -> Self265     pub fn from_mat4(m: DMat4) -> Self {
266         Self {
267             matrix3: DMat3::from_cols(
268                 DVec3::from_vec4(m.x_axis),
269                 DVec3::from_vec4(m.y_axis),
270                 DVec3::from_vec4(m.z_axis),
271             ),
272             translation: DVec3::from_vec4(m.w_axis),
273         }
274     }
275 
276     /// Extracts `scale`, `rotation` and `translation` from `self`.
277     ///
278     /// The transform is expected to be non-degenerate and without shearing, or the output
279     /// will be invalid.
280     ///
281     /// # Panics
282     ///
283     /// Will panic if the determinant `self.matrix3` is zero or if the resulting scale
284     /// vector contains any zero elements when `glam_assert` is enabled.
285     #[inline]
286     #[must_use]
to_scale_rotation_translation(&self) -> (DVec3, DQuat, DVec3)287     pub fn to_scale_rotation_translation(&self) -> (DVec3, DQuat, DVec3) {
288         use crate::f64::math;
289         let det = self.matrix3.determinant();
290         glam_assert!(det != 0.0);
291 
292         let scale = DVec3::new(
293             self.matrix3.x_axis.length() * math::signum(det),
294             self.matrix3.y_axis.length(),
295             self.matrix3.z_axis.length(),
296         );
297 
298         glam_assert!(scale.cmpne(DVec3::ZERO).all());
299 
300         let inv_scale = scale.recip();
301 
302         #[allow(clippy::useless_conversion)]
303         let rotation = DQuat::from_mat3(&DMat3::from_cols(
304             (self.matrix3.x_axis * inv_scale.x).into(),
305             (self.matrix3.y_axis * inv_scale.y).into(),
306             (self.matrix3.z_axis * inv_scale.z).into(),
307         ));
308 
309         #[allow(clippy::useless_conversion)]
310         (scale, rotation, self.translation.into())
311     }
312 
313     /// Creates a left-handed view transform using a camera position, an up direction, and a facing
314     /// direction.
315     ///
316     /// For a view coordinate system with `+X=right`, `+Y=up` and `+Z=forward`.
317     #[inline]
318     #[must_use]
look_to_lh(eye: DVec3, dir: DVec3, up: DVec3) -> Self319     pub fn look_to_lh(eye: DVec3, dir: DVec3, up: DVec3) -> Self {
320         Self::look_to_rh(eye, -dir, up)
321     }
322 
323     /// Creates a right-handed view transform using a camera position, an up direction, and a facing
324     /// direction.
325     ///
326     /// For a view coordinate system with `+X=right`, `+Y=up` and `+Z=back`.
327     #[inline]
328     #[must_use]
look_to_rh(eye: DVec3, dir: DVec3, up: DVec3) -> Self329     pub fn look_to_rh(eye: DVec3, dir: DVec3, up: DVec3) -> Self {
330         let f = dir.normalize();
331         let s = f.cross(up).normalize();
332         let u = s.cross(f);
333 
334         Self {
335             matrix3: DMat3::from_cols(
336                 DVec3::new(s.x, u.x, -f.x),
337                 DVec3::new(s.y, u.y, -f.y),
338                 DVec3::new(s.z, u.z, -f.z),
339             ),
340             translation: DVec3::new(-eye.dot(s), -eye.dot(u), eye.dot(f)),
341         }
342     }
343 
344     /// Creates a left-handed view transform using a camera position, an up direction, and a focal
345     /// point.
346     /// For a view coordinate system with `+X=right`, `+Y=up` and `+Z=forward`.
347     ///
348     /// # Panics
349     ///
350     /// Will panic if `up` is not normalized when `glam_assert` is enabled.
351     #[inline]
352     #[must_use]
look_at_lh(eye: DVec3, center: DVec3, up: DVec3) -> Self353     pub fn look_at_lh(eye: DVec3, center: DVec3, up: DVec3) -> Self {
354         glam_assert!(up.is_normalized());
355         Self::look_to_lh(eye, center - eye, up)
356     }
357 
358     /// Creates a right-handed view transform using a camera position, an up direction, and a focal
359     /// point.
360     /// For a view coordinate system with `+X=right`, `+Y=up` and `+Z=back`.
361     ///
362     /// # Panics
363     ///
364     /// Will panic if `up` is not normalized when `glam_assert` is enabled.
365     #[inline]
366     #[must_use]
look_at_rh(eye: DVec3, center: DVec3, up: DVec3) -> Self367     pub fn look_at_rh(eye: DVec3, center: DVec3, up: DVec3) -> Self {
368         glam_assert!(up.is_normalized());
369         Self::look_to_rh(eye, center - eye, up)
370     }
371 
372     /// Transforms the given 3D points, applying shear, scale, rotation and translation.
373     #[inline]
transform_point3(&self, rhs: DVec3) -> DVec3374     pub fn transform_point3(&self, rhs: DVec3) -> DVec3 {
375         #[allow(clippy::useless_conversion)]
376         ((self.matrix3.x_axis * rhs.x)
377             + (self.matrix3.y_axis * rhs.y)
378             + (self.matrix3.z_axis * rhs.z)
379             + self.translation)
380             .into()
381     }
382 
383     /// Transforms the given 3D vector, applying shear, scale and rotation (but NOT
384     /// translation).
385     ///
386     /// To also apply translation, use [`Self::transform_point3()`] instead.
387     #[inline]
388     #[must_use]
transform_vector3(&self, rhs: DVec3) -> DVec3389     pub fn transform_vector3(&self, rhs: DVec3) -> DVec3 {
390         #[allow(clippy::useless_conversion)]
391         ((self.matrix3.x_axis * rhs.x)
392             + (self.matrix3.y_axis * rhs.y)
393             + (self.matrix3.z_axis * rhs.z))
394             .into()
395     }
396 
397     /// Returns `true` if, and only if, all elements are finite.
398     ///
399     /// If any element is either `NaN`, positive or negative infinity, this will return
400     /// `false`.
401     #[inline]
402     #[must_use]
is_finite(&self) -> bool403     pub fn is_finite(&self) -> bool {
404         self.matrix3.is_finite() && self.translation.is_finite()
405     }
406 
407     /// Returns `true` if any elements are `NaN`.
408     #[inline]
409     #[must_use]
is_nan(&self) -> bool410     pub fn is_nan(&self) -> bool {
411         self.matrix3.is_nan() || self.translation.is_nan()
412     }
413 
414     /// Returns true if the absolute difference of all elements between `self` and `rhs`
415     /// is less than or equal to `max_abs_diff`.
416     ///
417     /// This can be used to compare if two 3x4 matrices contain similar elements. It works
418     /// best when comparing with a known value. The `max_abs_diff` that should be used used
419     /// depends on the values being compared against.
420     ///
421     /// For more see
422     /// [comparing floating point numbers](https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/).
423     #[inline]
424     #[must_use]
abs_diff_eq(&self, rhs: Self, max_abs_diff: f64) -> bool425     pub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f64) -> bool {
426         self.matrix3.abs_diff_eq(rhs.matrix3, max_abs_diff)
427             && self.translation.abs_diff_eq(rhs.translation, max_abs_diff)
428     }
429 
430     /// Return the inverse of this transform.
431     ///
432     /// Note that if the transform is not invertible the result will be invalid.
433     #[inline]
434     #[must_use]
inverse(&self) -> Self435     pub fn inverse(&self) -> Self {
436         let matrix3 = self.matrix3.inverse();
437         // transform negative translation by the matrix inverse:
438         let translation = -(matrix3 * self.translation);
439 
440         Self {
441             matrix3,
442             translation,
443         }
444     }
445 }
446 
447 impl Default for DAffine3 {
448     #[inline(always)]
default() -> Self449     fn default() -> Self {
450         Self::IDENTITY
451     }
452 }
453 
454 impl Deref for DAffine3 {
455     type Target = crate::deref::Cols4<DVec3>;
456     #[inline(always)]
deref(&self) -> &Self::Target457     fn deref(&self) -> &Self::Target {
458         unsafe { &*(self as *const Self as *const Self::Target) }
459     }
460 }
461 
462 impl DerefMut for DAffine3 {
463     #[inline(always)]
deref_mut(&mut self) -> &mut Self::Target464     fn deref_mut(&mut self) -> &mut Self::Target {
465         unsafe { &mut *(self as *mut Self as *mut Self::Target) }
466     }
467 }
468 
469 impl PartialEq for DAffine3 {
470     #[inline]
eq(&self, rhs: &Self) -> bool471     fn eq(&self, rhs: &Self) -> bool {
472         self.matrix3.eq(&rhs.matrix3) && self.translation.eq(&rhs.translation)
473     }
474 }
475 
476 impl core::fmt::Debug for DAffine3 {
fmt(&self, fmt: &mut core::fmt::Formatter<'_>) -> core::fmt::Result477     fn fmt(&self, fmt: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
478         fmt.debug_struct(stringify!(DAffine3))
479             .field("matrix3", &self.matrix3)
480             .field("translation", &self.translation)
481             .finish()
482     }
483 }
484 
485 impl core::fmt::Display for DAffine3 {
fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result486     fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
487         if let Some(p) = f.precision() {
488             write!(
489                 f,
490                 "[{:.*}, {:.*}, {:.*}, {:.*}]",
491                 p,
492                 self.matrix3.x_axis,
493                 p,
494                 self.matrix3.y_axis,
495                 p,
496                 self.matrix3.z_axis,
497                 p,
498                 self.translation
499             )
500         } else {
501             write!(
502                 f,
503                 "[{}, {}, {}, {}]",
504                 self.matrix3.x_axis, self.matrix3.y_axis, self.matrix3.z_axis, self.translation
505             )
506         }
507     }
508 }
509 
510 impl<'a> core::iter::Product<&'a Self> for DAffine3 {
product<I>(iter: I) -> Self where I: Iterator<Item = &'a Self>,511     fn product<I>(iter: I) -> Self
512     where
513         I: Iterator<Item = &'a Self>,
514     {
515         iter.fold(Self::IDENTITY, |a, &b| a * b)
516     }
517 }
518 
519 impl Mul for DAffine3 {
520     type Output = DAffine3;
521 
522     #[inline]
mul(self, rhs: DAffine3) -> Self::Output523     fn mul(self, rhs: DAffine3) -> Self::Output {
524         Self {
525             matrix3: self.matrix3 * rhs.matrix3,
526             translation: self.matrix3 * rhs.translation + self.translation,
527         }
528     }
529 }
530 
531 impl MulAssign for DAffine3 {
532     #[inline]
mul_assign(&mut self, rhs: DAffine3)533     fn mul_assign(&mut self, rhs: DAffine3) {
534         *self = self.mul(rhs);
535     }
536 }
537 
538 impl From<DAffine3> for DMat4 {
539     #[inline]
from(m: DAffine3) -> DMat4540     fn from(m: DAffine3) -> DMat4 {
541         DMat4::from_cols(
542             m.matrix3.x_axis.extend(0.0),
543             m.matrix3.y_axis.extend(0.0),
544             m.matrix3.z_axis.extend(0.0),
545             m.translation.extend(1.0),
546         )
547     }
548 }
549 
550 impl Mul<DMat4> for DAffine3 {
551     type Output = DMat4;
552 
553     #[inline]
mul(self, rhs: DMat4) -> Self::Output554     fn mul(self, rhs: DMat4) -> Self::Output {
555         DMat4::from(self) * rhs
556     }
557 }
558 
559 impl Mul<DAffine3> for DMat4 {
560     type Output = DMat4;
561 
562     #[inline]
mul(self, rhs: DAffine3) -> Self::Output563     fn mul(self, rhs: DAffine3) -> Self::Output {
564         self * DMat4::from(rhs)
565     }
566 }
567