Mercurial > touhou

annotate utils/src/math.rs @ 757:21b186be2590

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Split the Rust version into multiple crates.
author Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
date Tue, 05 Jan 2021 02:16:32 +0100
parents src/util/math.rs@01849ffd0180
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
643
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
1 //! Various helpers to deal with vectors and matrices.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
2
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
3 /// A 4×4 f32 matrix type.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
4 pub struct Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
5 inner: [[f32; 4]; 4]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
6 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
7
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
8 impl Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
9 /// Create a new matrix from a set of 16 f32.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
10 pub fn new(inner: [[f32; 4]; 4]) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
11 Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
12 inner
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
13 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
14 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
15
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
16 fn zero() -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
17 Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
18 inner: [[0.; 4]; 4]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
19 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
20 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
21
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
22 fn identity() -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
23 Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
24 inner: [[1., 0., 0., 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
25 [0., 1., 0., 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
26 [0., 0., 1., 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
27 [0., 0., 0., 1.]]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
28 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
29 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
30
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
31 /// Immutably borrow the array of f32 inside this matrix.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
32 pub fn borrow_inner(&self) -> &[[f32; 4]; 4] {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
33 &self.inner
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
34 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
35
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
36 /// Scale the matrix in 2D.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
37 pub fn scale2d(&mut self, x: f32, y: f32) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
38 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
39 self.inner[0][i] *= x;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
40 self.inner[1][i] *= y;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
41 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
42 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
43
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
44 /// Flip the matrix.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
45 pub fn flip(&mut self) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
46 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
47 self.inner[0][i] = -self.inner[0][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
48 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
49 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
50
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
51 /// Rotate the matrix around its x angle (in radians).
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
52 pub fn rotate_x(&mut self, angle: f32) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
53 let mut lines: [f32; 8] = [0.; 8];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
54 let cos_a = angle.cos();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
55 let sin_a = angle.sin();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
56 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
57 lines[ i] = self.inner[0][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
58 lines[4 + i] = self.inner[1][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
59 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
60 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
61 self.inner[1][i] = cos_a * lines[i] - sin_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
62 self.inner[2][i] = sin_a * lines[i] + cos_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
63 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
64 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
65
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
66 /// Rotate the matrix around its y angle (in radians).
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
67 pub fn rotate_y(&mut self, angle: f32) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
68 let mut lines: [f32; 8] = [0.; 8];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
69 let cos_a = angle.cos();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
70 let sin_a = angle.sin();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
71 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
72 lines[ i] = self.inner[0][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
73 lines[4 + i] = self.inner[2][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
74 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
75 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
76 self.inner[0][i] = cos_a * lines[i] + sin_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
77 self.inner[2][i] = -sin_a * lines[i] + cos_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
78 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
79 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
80
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
81 /// Rotate the matrix around its z angle (in radians).
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
82 pub fn rotate_z(&mut self, angle: f32) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
83 let mut lines: [f32; 8] = [0.; 8];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
84 let cos_a = angle.cos();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
85 let sin_a = angle.sin();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
86 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
87 lines[ i] = self.inner[0][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
88 lines[4 + i] = self.inner[1][i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
89 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
90 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
91 self.inner[0][i] = cos_a * lines[i] - sin_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
92 self.inner[1][i] = sin_a * lines[i] + cos_a * lines[4+i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
93 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
94 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
95
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
96 /// Translate the matrix by a 3D offset.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
97 pub fn translate(&mut self, offset: [f32; 3]) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
98 let mut item: [f32; 3] = [0.; 3];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
99 for i in 0..3 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
100 item[i] = self.inner[3][i] * offset[i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
101 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
102 for i in 0..3 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
103 for j in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
104 self.inner[i][j] += item[i];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
105 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
106 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
107 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
108
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
109 /// Translate the matrix by a 2D offset.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
110 pub fn translate_2d(&mut self, x: f32, y: f32) {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
111 let offset = [x, y, 0.];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
112 self.translate(offset);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
113 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
114 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
115
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
116 impl std::ops::Mul<Mat4> for Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
117 type Output = Mat4;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
118 fn mul(self, rhs: Mat4) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
119 let mut tmp = Mat4::zero();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
120 for i in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
121 for j in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
122 for k in 0..4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
123 tmp.inner[i][j] += self.inner[i][k] * rhs.inner[k][j];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
124 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
125 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
126 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
127 tmp
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
128 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
129 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
130
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
131 /// Create an orthographic projection matrix.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
132 pub fn ortho_2d(left: f32, right: f32, bottom: f32, top: f32) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
133 let mut mat = Mat4::identity();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
134 mat.inner[0][0] = 2. / (right - left);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
135 mat.inner[1][1] = 2. / (top - bottom);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
136 mat.inner[2][2] = -1.;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
137 mat.inner[3][0] = -(right + left) / (right - left);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
138 mat.inner[3][1] = -(top + bottom) / (top - bottom);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
139 mat
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
140 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
141
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
142 /// Setup a camera view matrix.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
143 pub fn setup_camera(dx: f32, dy: f32, dz: f32) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
144 // Some explanations on the magic constants:
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
145 // 192. = 384. / 2. = width / 2.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
146 // 224. = 448. / 2. = height / 2.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
147 // 835.979370 = 224./math.tan(math.radians(15)) = (height/2.)/math.tan(math.radians(fov/2))
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
148 // This is so that objects on the (O, x, y) plane use pixel coordinates
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
149 look_at([192., 224., -835.979370 * dz], [192. + dx, 224. - dy, 0.], [0., -1., 0.])
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
150 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
151
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
152 /// Creates a perspective projection matrix.
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
153 pub fn perspective(fov_y: f32, aspect: f32, z_near: f32, z_far: f32) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
154 let top = (fov_y / 2.).tan() * z_near;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
155 let bottom = -top;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
156 let left = -top * aspect;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
157 let right = top * aspect;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
158
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
159 let mut mat = Mat4::identity();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
160 mat.inner[0][0] = (2. * z_near) / (right - left);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
161 mat.inner[1][1] = (2. * z_near) / (top - bottom);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
162 mat.inner[2][2] = -(z_far + z_near) / (z_far - z_near);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
163 mat.inner[2][3] = -1.;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
164 mat.inner[3][2] = -(2. * z_far * z_near) / (z_far - z_near);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
165 mat.inner[3][3] = 0.;
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
166 mat
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
167 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
168
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
169 type Vec3 = [f32; 3];
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
170
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
171 fn look_at(eye: Vec3, center: Vec3, up: Vec3) -> Mat4 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
172 let f = normalize(sub(center, eye));
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
173 let u = normalize(up);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
174 let s = normalize(cross(f, u));
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
175 let u = cross(s, f);
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
176
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
177 Mat4::new([[s[0], u[0], -f[0], 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
178 [s[1], u[1], -f[1], 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
179 [s[2], u[2], -f[2], 0.],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
180 [-dot(s, eye), -dot(u, eye), dot(f, eye), 1.]])
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
181 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
182
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
183 fn sub(a: Vec3, b: Vec3) -> Vec3 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
184 [a[0] - b[0],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
185 a[1] - b[1],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
186 a[2] - b[2]]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
187 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
188
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
189 fn normalize(vec: Vec3) -> Vec3 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
190 let normal = 1. / (vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2]).sqrt();
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
191 [vec[0] * normal, vec[1] * normal, vec[2] * normal]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
192 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
193
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
194 fn cross(a: Vec3, b: Vec3) -> Vec3 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
195 [a[1] * b[2] - b[1] * a[2],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
196 a[2] * b[0] - b[2] * a[0],
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
197 a[0] * b[1] - b[0] * a[1]]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
198 }
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
199
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
200 fn dot(a: Vec3, b: Vec3) -> f32 {
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
201 a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
01849ffd0180 Add an anmrenderer binary.
Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
parents:
diff changeset
202 }