glam 0.33.7

A simple and fast 3D math library for games and graphics
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
236
237
238
239
240
241
242
243
244
245

use core::simd::{num::SimdFloat, *};

#[cfg(not(feature = "std"))]
pub(crate) use libm_math::*;

#[cfg(feature = "std")]
pub(crate) use std_math::*;

#[cfg(feature = "std")]
mod std_math {
    use core::simd::f32x4;
    use std::simd::StdFloat;

    #[inline]
    pub fn round3(v: f32x4) -> f32x4 {
        v.round()
    }

    #[inline]
    pub fn floor3(v: f32x4) -> f32x4 {
        v.floor()
    }

    #[inline]
    pub fn ceil3(v: f32x4) -> f32x4 {
        v.ceil()
    }

    #[inline]
    pub fn trunc3(v: f32x4) -> f32x4 {
        v.trunc()
    }

    #[inline]
    pub fn mul_add3(v: f32x4, a: f32x4, b: f32x4) -> f32x4 {
        v.mul_add(a, b)
    }

    #[inline]
    pub fn round4(v: f32x4) -> f32x4 {
        v.round()
    }

    #[inline]
    pub fn floor4(v: f32x4) -> f32x4 {
        v.floor()
    }

    #[inline]
    pub fn ceil4(v: f32x4) -> f32x4 {
        v.ceil()
    }

    #[inline]
    pub fn trunc4(v: f32x4) -> f32x4 {
        v.trunc()
    }

    #[inline]
    pub fn mul_add4(v: f32x4, a: f32x4, b: f32x4) -> f32x4 {
        v.mul_add(a, b)
    }

    #[inline]
    pub fn sqrt3(v: f32x4) -> f32x4 {
        v.sqrt()
    }

    #[inline]
    pub fn sqrt4(v: f32x4) -> f32x4 {
        v.sqrt()
    }
}

#[cfg(not(feature = "std"))]
mod libm_math {
    use crate::f32::math;
    use core::simd::f32x4;

    #[inline]
    pub fn round3(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::round(v[0]),
            math::round(v[1]),
            math::round(v[2]),
            v[3],
        ])
    }

    #[inline]
    pub fn floor3(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::floor(v[0]),
            math::floor(v[1]),
            math::floor(v[2]),
            v[3],
        ])
    }

    #[inline]
    pub fn ceil3(v: f32x4) -> f32x4 {
        f32x4::from_array([math::ceil(v[0]), math::ceil(v[1]), math::ceil(v[2]), v[3]])
    }

    #[inline]
    pub fn trunc3(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::trunc(v[0]),
            math::trunc(v[1]),
            math::trunc(v[2]),
            v[3],
        ])
    }

    #[inline]
    pub fn mul_add3(v: f32x4, a: f32x4, b: f32x4) -> f32x4 {
        f32x4::from_array([
            math::mul_add(v[0], a[0], b[0]),
            math::mul_add(v[1], a[1], b[1]),
            math::mul_add(v[2], a[2], b[2]),
            v[3],
        ])
    }

    #[inline]
    pub fn round4(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::round(v[0]),
            math::round(v[1]),
            math::round(v[2]),
            math::round(v[3]),
        ])
    }

    #[inline]
    pub fn floor4(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::floor(v[0]),
            math::floor(v[1]),
            math::floor(v[2]),
            math::floor(v[3]),
        ])
    }

    #[inline]
    pub fn ceil4(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::ceil(v[0]),
            math::ceil(v[1]),
            math::ceil(v[2]),
            math::ceil(v[3]),
        ])
    }

    #[inline]
    pub fn trunc4(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::trunc(v[0]),
            math::trunc(v[1]),
            math::trunc(v[2]),
            math::trunc(v[3]),
        ])
    }

    #[inline]
    pub fn mul_add4(v: f32x4, a: f32x4, b: f32x4) -> f32x4 {
        f32x4::from_array([
            math::mul_add(v[0], a[0], b[0]),
            math::mul_add(v[1], a[1], b[1]),
            math::mul_add(v[2], a[2], b[2]),
            math::mul_add(v[3], a[3], b[3]),
        ])
    }

    #[inline]
    pub fn sqrt3(v: f32x4) -> f32x4 {
        f32x4::from_array([math::sqrt(v[0]), math::sqrt(v[1]), math::sqrt(v[2]), v[3]])
    }

    #[inline]
    pub fn sqrt4(v: f32x4) -> f32x4 {
        f32x4::from_array([
            math::sqrt(v[0]),
            math::sqrt(v[1]),
            math::sqrt(v[2]),
            math::sqrt(v[3]),
        ])
    }
}

/// Calculates the vector 3 dot product and returns answer in x lane of f32x4.
#[inline(always)]
pub(crate) fn dot3_in_x(lhs: f32x4, rhs: f32x4) -> f32x4 {
    let x2_y2_z2_w2 = lhs * rhs;
    let y2_0_0_0 = simd_swizzle!(x2_y2_z2_w2, [1, 0, 0, 0]);
    let z2_0_0_0 = simd_swizzle!(x2_y2_z2_w2, [2, 0, 0, 0]);
    let x2y2_0_0_0 = x2_y2_z2_w2 + y2_0_0_0;
    x2y2_0_0_0 + z2_0_0_0
}

/// Calculates the vector 4 dot product and returns answer in x lane of f32x4.
#[inline(always)]
pub(crate) fn dot4_in_x(lhs: f32x4, rhs: f32x4) -> f32x4 {
    let x2_y2_z2_w2 = lhs * rhs;
    let z2_w2_0_0 = simd_swizzle!(x2_y2_z2_w2, [2, 3, 0, 0]);
    let x2z2_y2w2_0_0 = x2_y2_z2_w2 + z2_w2_0_0;
    let y2w2_0_0_0 = simd_swizzle!(x2z2_y2w2_0_0, [1, 0, 0, 0]);
    x2z2_y2w2_0_0 + y2w2_0_0_0
}

#[inline]
pub(crate) fn dot3(lhs: f32x4, rhs: f32x4) -> f32 {
    dot3_in_x(lhs, rhs)[0]
}

#[inline]
pub(crate) fn dot3_into_f32x4(lhs: f32x4, rhs: f32x4) -> f32x4 {
    let dot_in_x = dot3_in_x(lhs, rhs);
    simd_swizzle!(dot_in_x, [0, 0, 0, 0])
}

#[inline]
pub(crate) fn dot4(lhs: f32x4, rhs: f32x4) -> f32 {
    dot4_in_x(lhs, rhs)[0]
}

#[inline]
pub(crate) fn dot4_into_f32x4(lhs: f32x4, rhs: f32x4) -> f32x4 {
    let dot_in_x = dot4_in_x(lhs, rhs);
    simd_swizzle!(dot_in_x, [0, 0, 0, 0])
}

#[inline(always)]
pub(crate) fn f32x4_bitand(a: f32x4, b: f32x4) -> f32x4 {
    let a = a.to_bits();
    let b = b.to_bits();
    f32x4::from_bits(a & b)
}

#[inline(always)]
pub(crate) fn f32x4_bitxor(a: f32x4, b: f32x4) -> f32x4 {
    let a = a.to_bits();
    let b = b.to_bits();
    f32x4::from_bits(a ^ b)
}