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
|
/**************************************************************************
*
* Copyright 2010 Luca Barbieri
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice (including the
* next paragraph) shall be included in all copies or substantial
* portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
* IN NO EVENT SHALL THE COPYRIGHT OWNER(S) AND/OR ITS SUPPLIERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
**************************************************************************/
#ifndef U_HALF_H
#define U_HALF_H
#include "pipe/p_compiler.h"
#include "util/u_math.h"
#ifdef __cplusplus
extern "C" {
#endif
/*
* References for float <-> half conversions
*
* http://fgiesen.wordpress.com/2012/03/28/half-to-float-done-quic/
* https://gist.github.com/2156668
* https://gist.github.com/2144712
*/
static INLINE uint16_t
util_float_to_half(float f)
{
uint32_t sign_mask = 0x80000000;
uint32_t round_mask = ~0xfff;
uint32_t f32inf = 0xff << 23;
uint32_t f16inf = 0x1f << 23;
uint32_t sign;
union fi magic;
union fi f32;
uint16_t f16;
magic.ui = 0xf << 23;
f32.f = f;
/* Sign */
sign = f32.ui & sign_mask;
f32.ui ^= sign;
if (f32.ui == f32inf) {
/* Inf */
f16 = 0x7c00;
} else if (f32.ui > f32inf) {
/* NaN */
f16 = 0x7e00;
} else {
/* Number */
f32.ui &= round_mask;
f32.f *= magic.f;
f32.ui -= round_mask;
/* Clamp to infinity if overflowed */
if (f32.ui > f16inf)
f32.ui = f16inf;
f16 = f32.ui >> 13;
}
/* Sign */
f16 |= sign >> 16;
return f16;
}
static INLINE float
util_half_to_float(uint16_t f16)
{
union fi infnan;
union fi magic;
union fi f32;
infnan.ui = 0x8f << 23;
infnan.f = 65536.0f;
magic.ui = 0xef << 23;
/* Exponent / Mantissa */
f32.ui = (f16 & 0x7fff) << 13;
/* Adjust */
f32.f *= magic.f;
/* Inf / NaN */
if (f32.f >= infnan.f)
f32.ui |= 0xff << 23;
/* Sign */
f32.ui |= (f16 & 0x8000) << 16;
return f32.f;
}
#ifdef __cplusplus
}
#endif
#endif /* U_HALF_H */
|