mat4 0.2.1

matrix 4x4
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235

use core::ops::{Add, Div, Mul, Neg, Sub};

use num_traits::{One, Zero};

use super::inv;

/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::mul(&mut m, &mat4::new_identity(), &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn mul<'out, T>(out: &'out mut [T; 16], a: &[T; 16], b: &[T; 16]) -> &'out mut [T; 16]
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let a00 = &a[0];
    let a01 = &a[1];
    let a02 = &a[2];
    let a03 = &a[3];
    let a10 = &a[4];
    let a11 = &a[5];
    let a12 = &a[6];
    let a13 = &a[7];
    let a20 = &a[8];
    let a21 = &a[9];
    let a22 = &a[10];
    let a23 = &a[11];
    let a30 = &a[12];
    let a31 = &a[13];
    let a32 = &a[14];
    let a33 = &a[15];
    let mut b0;
    let mut b1;
    let mut b2;
    let mut b3;

    b0 = &b[0];
    b1 = &b[1];
    b2 = &b[2];
    b3 = &b[3];
    out[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
    out[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
    out[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
    out[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;

    b0 = &b[4];
    b1 = &b[5];
    b2 = &b[6];
    b3 = &b[7];
    out[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
    out[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
    out[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
    out[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;

    b0 = &b[8];
    b1 = &b[9];
    b2 = &b[10];
    b3 = &b[11];
    out[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
    out[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
    out[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
    out[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;

    b0 = &b[12];
    b1 = &b[13];
    b2 = &b[14];
    b3 = &b[15];
    out[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
    out[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
    out[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
    out[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
    out
}
/// rmul_mut(A, B) does A = B * A
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::rmul_mut(&mut m, &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn rmul_mut<'out, T>(out: &'out mut [T; 16], m: &[T; 16]) -> &'out mut [T; 16]
where
    T: Clone + Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let tmp = out.clone();
    mul(out, m, &tmp)
}
/// lmul_mut(A, B) does A = A * B
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::lmul_mut(&mut m, &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn lmul_mut<'out, T>(out: &'out mut [T; 16], m: &[T; 16]) -> &'out mut [T; 16]
where
    T: Clone + Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let tmp = out.clone();
    mul(out, &tmp, m)
}
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::smul(&mut m, &mat4::new_identity(), &1_f32);
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn smul<'out, T>(out: &'out mut [T; 16], m: &[T; 16], s: &T) -> &'out mut [T; 16]
where
    T: Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    out[0] = &m[0] * s;
    out[1] = &m[1] * s;
    out[2] = &m[2] * s;
    out[3] = &m[3] * s;
    out[4] = &m[4] * s;
    out[5] = &m[5] * s;
    out[6] = &m[6] * s;
    out[7] = &m[7] * s;
    out[8] = &m[8] * s;
    out[9] = &m[9] * s;
    out[10] = &m[10] * s;
    out[11] = &m[11] * s;
    out[12] = &m[12] * s;
    out[13] = &m[13] * s;
    out[14] = &m[14] * s;
    out[15] = &m[15] * s;
    out
}
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::smul_mut(&mut m, &1_f32);
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn smul_mut<'out, T>(out: &'out mut [T; 16], s: &T) -> &'out mut [T; 16]
where
    T: Clone + Add<T, Output = T>,
    for<'a, 'b> &'a T: Mul<&'b T, Output = T>,
{
    let tmp = out.clone();
    smul(out, &tmp, s)
}
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::div(&mut m, &mat4::new_identity(), &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn div<'out, T>(out: &'out mut [T; 16], a: &[T; 16], b: &[T; 16]) -> &'out mut [T; 16]
where
    T: Clone + One + Zero + Sub<T, Output = T>,
    for<'a, 'b> &'a T: Neg<Output = T> + Mul<&'b T, Output = T> + Div<&'b T, Output = T>,
{
    let mut inv_b = b.clone();
    inv(&mut inv_b, b);
    mul(out, a, &inv_b)
}
/// rdiv_mut(A, B) does A = B / A
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::rdiv_mut(&mut m, &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn rdiv_mut<'out, T>(out: &'out mut [T; 16], m: &[T; 16]) -> &'out mut [T; 16]
where
    T: Clone + One + Zero + Sub<T, Output = T>,
    for<'a, 'b> &'a T: Neg<Output = T> + Mul<&'b T, Output = T> + Div<&'b T, Output = T>,
{
    let tmp = out.clone();
    div(out, m, &tmp)
}
/// ldiv_mut(A, B) does A = A / B
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::ldiv_mut(&mut m, &mat4::new_identity());
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn ldiv_mut<'out, T>(out: &'out mut [T; 16], m: &[T; 16]) -> &'out mut [T; 16]
where
    T: Clone + One + Zero + Sub<T, Output = T>,
    for<'a, 'b> &'a T: Neg<Output = T> + Mul<&'b T, Output = T> + Div<&'b T, Output = T>,
{
    let tmp = out.clone();
    div(out, &tmp, m)
}
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::sdiv(&mut m, &mat4::new_identity(), &1_f32);
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn sdiv<'out, T>(out: &'out mut [T; 16], m: &[T; 16], s: &T) -> &'out mut [T; 16]
where
    T: One + Zero + Add<T, Output = T>,
    for<'a, 'b> &'a T: Div<&'b T, Output = T> + Mul<&'b T, Output = T>,
{
    let inv_s = if s.is_zero() {
        T::zero()
    } else {
        &T::one() / s
    };
    smul(out, m, &inv_s)
}
/// # Example
/// ```
/// let mut m = mat4::new_identity::<f32>();
/// mat4::sdiv_mut(&mut m, &1_f32);
/// assert_eq!(m, mat4::new_identity::<f32>());
/// ```
#[inline]
pub fn sdiv_mut<'out, T>(out: &'out mut [T; 16], s: &T) -> &'out mut [T; 16]
where
    T: Clone + One + Zero + Add<T, Output = T>,
    for<'a, 'b> &'a T: Div<&'b T, Output = T> + Mul<&'b T, Output = T>,
{
    let tmp = out.clone();
    sdiv(out, &tmp, s)
}