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
|
#ifndef _MATH_H
#ifdef _ISOMAC
# undef NO_LONG_DOUBLE
#endif
#include <math/math.h>
#ifndef _ISOMAC
/* Now define the internal interfaces. */
extern int __signgam;
# if IS_IN (libc) || IS_IN (libm)
hidden_proto (__finite)
hidden_proto (__isinf)
hidden_proto (__isnan)
hidden_proto (__finitef)
hidden_proto (__isinff)
hidden_proto (__isnanf)
# if !defined __NO_LONG_DOUBLE_MATH \
&& __LONG_DOUBLE_USES_FLOAT128 == 0
hidden_proto (__finitel)
hidden_proto (__isinfl)
hidden_proto (__isnanl)
# endif
# if __HAVE_DISTINCT_FLOAT128
hidden_proto (__finitef128)
hidden_proto (__isinff128)
hidden_proto (__isnanf128)
hidden_proto (__signbitf128)
# endif
# endif
libm_hidden_proto (__fpclassify)
libm_hidden_proto (__fpclassifyf)
libm_hidden_proto (__issignaling)
libm_hidden_proto (__issignalingf)
libm_hidden_proto (__exp)
libm_hidden_proto (__expf)
libm_hidden_proto (__roundeven)
# if !defined __NO_LONG_DOUBLE_MATH \
&& __LONG_DOUBLE_USES_FLOAT128 == 0
libm_hidden_proto (__fpclassifyl)
libm_hidden_proto (__issignalingl)
libm_hidden_proto (__expl)
libm_hidden_proto (__expm1l)
# endif
# if __HAVE_DISTINCT_FLOAT128
libm_hidden_proto (__fpclassifyf128)
libm_hidden_proto (__issignalingf128)
libm_hidden_proto (__expf128)
libm_hidden_proto (__expm1f128)
# endif
#include <stdint.h>
#include <nan-high-order-bit.h>
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
uint32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#ifndef GET_FLOAT_WORD
# define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
#endif
/* Set a float from a 32 bit int. */
#ifndef SET_FLOAT_WORD
# define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
#endif
extern inline int
__issignalingf (float x)
{
uint32_t xi;
GET_FLOAT_WORD (xi, x);
#if HIGH_ORDER_BIT_IS_SET_FOR_SNAN
/* We only have to care about the high-order bit of x's significand, because
having it set (sNaN) already makes the significand different from that
used to designate infinity. */
return (xi & 0x7fc00000) == 0x7fc00000;
#else
/* To keep the following comparison simple, toggle the quiet/signaling bit,
so that it is set for sNaNs. This is inverse to IEEE 754-2008 (as well as
common practice for IEEE 754-1985). */
xi ^= 0x00400000;
/* We have to compare for greater (instead of greater or equal), because x's
significand being all-zero designates infinity not NaN. */
return (xi & 0x7fffffff) > 0x7fc00000;
#endif
}
# if __HAVE_DISTINCT_FLOAT128
/* __builtin_isinf_sign is broken in GCC < 7 for float128. */
# if ! __GNUC_PREREQ (7, 0)
# include <ieee754_float128.h>
extern inline int
__isinff128 (_Float128 x)
{
int64_t hx, lx;
GET_FLOAT128_WORDS64 (hx, lx, x);
lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL;
lx |= -lx;
return ~(lx >> 63) & (hx >> 62);
}
# endif
extern inline _Float128
fabsf128 (_Float128 x)
{
return __builtin_fabsf128 (x);
}
# endif
# if !(defined __FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0)
# ifndef NO_MATH_REDIRECT
/* Declare some functions for use within GLIBC. Compilers typically
inline those functions as a single instruction. Use an asm to
avoid use of PLTs if it doesn't. */
# define MATH_REDIRECT(FUNC, PREFIX, ARGS) \
float (FUNC ## f) (ARGS (float)) asm (PREFIX #FUNC "f"); \
double (FUNC) (ARGS (double)) asm (PREFIX #FUNC ); \
MATH_REDIRECT_LDBL (FUNC, PREFIX, ARGS) \
MATH_REDIRECT_F128 (FUNC, PREFIX, ARGS)
# if defined __NO_LONG_DOUBLE_MATH \
|| __LONG_DOUBLE_USES_FLOAT128 == 1
# define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS)
# else
# define MATH_REDIRECT_LDBL(FUNC, PREFIX, ARGS) \
long double (FUNC ## l) (ARGS (long double)) asm (PREFIX #FUNC "l");
# endif
# if __HAVE_DISTINCT_FLOAT128
# define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS) \
_Float128 (FUNC ## f128) (ARGS (_Float128)) asm (PREFIX #FUNC "f128");
# else
# define MATH_REDIRECT_F128(FUNC, PREFIX, ARGS)
# endif
# define MATH_REDIRECT_UNARY_ARGS(TYPE) TYPE
# define MATH_REDIRECT_BINARY_ARGS(TYPE) TYPE, TYPE
MATH_REDIRECT (sqrt, "__ieee754_", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (ceil, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (floor, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (rint, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (trunc, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (round, "__", MATH_REDIRECT_UNARY_ARGS)
MATH_REDIRECT (copysign, "__", MATH_REDIRECT_BINARY_ARGS)
# endif
# endif
#endif
#endif
|
