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
|
/**
* This file has no copyright assigned and is placed in the Public Domain.
* This file is part of the mingw-w64 runtime package.
* No warranty is given; refer to the file DISCLAIMER.PD within this package.
*/
#ifndef _MINGWEX_FASTMATH_H_
#define _MINGWEX_FASTMATH_H_
/* Fast math inlines
No range or domain checks. No setting of errno. No tweaks to
protect precision near range limits. */
/* For now this is an internal header with just the functions that
are currently used in building libmingwex.a math components */
/* FIXME: We really should get rid of the code duplication using euther
C++ templates or tgmath-type macros. */
static __inline__ double __fast_sqrt (double x)
{
double res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ long double __fast_sqrtl (long double x)
{
long double res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ float __fast_sqrtf (float x)
{
float res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ double __fast_log (double x)
{
double res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ long double __fast_logl (long double x)
{
long double res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ float __fast_logf (float x)
{
float res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ double __fast_log1p (double x)
{
double res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabs (x) >= 1.0 - 0.5 * 1.41421356237309504880)
res = __fast_log (1.0 + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ long double __fast_log1pl (long double x)
{
long double res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabsl (x) >= 1.0L - 0.5L * 1.41421356237309504880L)
res = __fast_logl (1.0L + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ float __fast_log1pf (float x)
{
float res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabsf (x) >= 1.0 - 0.5 * 1.41421356237309504880)
res = __fast_logf (1.0 + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
#endif
|
