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
|
/* Configuration for double precision math routines.
Copyright (C) 2018-2021 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
#ifndef _MATH_CONFIG_H
#define _MATH_CONFIG_H
#include <math.h>
#include <math_private.h>
#include <nan-high-order-bit.h>
#include <stdint.h>
#ifndef WANT_ROUNDING
/* Correct special case results in non-nearest rounding modes. */
# define WANT_ROUNDING 1
#endif
#ifndef WANT_ERRNO
/* Set errno according to ISO C with (math_errhandling & MATH_ERRNO) != 0. */
# define WANT_ERRNO 1
#endif
#ifndef WANT_ERRNO_UFLOW
/* Set errno to ERANGE if result underflows to 0 (in all rounding modes). */
# define WANT_ERRNO_UFLOW (WANT_ROUNDING && WANT_ERRNO)
#endif
#ifndef TOINT_INTRINSICS
/* When set, the roundtoint and converttoint functions are provided with
the semantics documented below. */
# define TOINT_INTRINSICS 0
#endif
#if TOINT_INTRINSICS
/* Round x to nearest int in all rounding modes, ties have to be rounded
consistently with converttoint so the results match. If the result
would be outside of [-2^31, 2^31-1] then the semantics is unspecified. */
static inline double_t
roundtoint (double_t x);
/* Convert x to nearest int in all rounding modes, ties have to be rounded
consistently with roundtoint. If the result is not representible in an
int32_t then the semantics is unspecified. */
static inline int32_t
converttoint (double_t x);
#endif
static inline uint64_t
asuint64 (double f)
{
union
{
double f;
uint64_t i;
} u = {f};
return u.i;
}
static inline double
asdouble (uint64_t i)
{
union
{
uint64_t i;
double f;
} u = {i};
return u.f;
}
static inline int
issignaling_inline (double x)
{
uint64_t ix = asuint64 (x);
if (HIGH_ORDER_BIT_IS_SET_FOR_SNAN)
return (ix & 0x7ff8000000000000) == 0x7ff8000000000000;
return 2 * (ix ^ 0x0008000000000000) > 2 * 0x7ff8000000000000ULL;
}
#define NOINLINE __attribute__ ((noinline))
/* Error handling tail calls for special cases, with a sign argument.
The sign of the return value is set if the argument is non-zero. */
/* The result overflows. */
attribute_hidden double __math_oflow (uint32_t);
/* The result underflows to 0 in nearest rounding mode. */
attribute_hidden double __math_uflow (uint32_t);
/* The result underflows to 0 in some directed rounding mode only. */
attribute_hidden double __math_may_uflow (uint32_t);
/* Division by zero. */
attribute_hidden double __math_divzero (uint32_t);
/* Error handling using input checking. */
/* Invalid input unless it is a quiet NaN. */
attribute_hidden double __math_invalid (double);
/* Error handling using output checking, only for errno setting. */
/* Check if the result overflowed to infinity. */
attribute_hidden double __math_check_oflow (double);
/* Check if the result underflowed to 0. */
attribute_hidden double __math_check_uflow (double);
/* Check if the result overflowed to infinity. */
static inline double
check_oflow (double x)
{
return WANT_ERRNO ? __math_check_oflow (x) : x;
}
/* Check if the result underflowed to 0. */
static inline double
check_uflow (double x)
{
return WANT_ERRNO ? __math_check_uflow (x) : x;
}
#define EXP_TABLE_BITS 7
#define EXP_POLY_ORDER 5
#define EXP2_POLY_ORDER 5
extern const struct exp_data
{
double invln2N;
double shift;
double negln2hiN;
double negln2loN;
double poly[4]; /* Last four coefficients. */
double exp2_shift;
double exp2_poly[EXP2_POLY_ORDER];
uint64_t tab[2*(1 << EXP_TABLE_BITS)];
} __exp_data attribute_hidden;
#define LOG_TABLE_BITS 7
#define LOG_POLY_ORDER 6
#define LOG_POLY1_ORDER 12
extern const struct log_data
{
double ln2hi;
double ln2lo;
double poly[LOG_POLY_ORDER - 1]; /* First coefficient is 1. */
double poly1[LOG_POLY1_ORDER - 1];
/* See e_log_data.c for details. */
struct {double invc, logc;} tab[1 << LOG_TABLE_BITS];
#ifndef __FP_FAST_FMA
struct {double chi, clo;} tab2[1 << LOG_TABLE_BITS];
#endif
} __log_data attribute_hidden;
#define LOG2_TABLE_BITS 6
#define LOG2_POLY_ORDER 7
#define LOG2_POLY1_ORDER 11
extern const struct log2_data
{
double invln2hi;
double invln2lo;
double poly[LOG2_POLY_ORDER - 1];
double poly1[LOG2_POLY1_ORDER - 1];
/* See e_log2_data.c for details. */
struct {double invc, logc;} tab[1 << LOG2_TABLE_BITS];
#ifndef __FP_FAST_FMA
struct {double chi, clo;} tab2[1 << LOG2_TABLE_BITS];
#endif
} __log2_data attribute_hidden;
#define POW_LOG_TABLE_BITS 7
#define POW_LOG_POLY_ORDER 8
extern const struct pow_log_data
{
double ln2hi;
double ln2lo;
double poly[POW_LOG_POLY_ORDER - 1]; /* First coefficient is 1. */
/* Note: the pad field is unused, but allows slightly faster indexing. */
/* See e_pow_log_data.c for details. */
struct {double invc, pad, logc, logctail;} tab[1 << POW_LOG_TABLE_BITS];
} __pow_log_data attribute_hidden;
#endif
|
