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
|
/*-
* Copyright (c) 2004 Stefan Farfeleder.
* All rights reserved.
*
* Copyright (c) 2012 Ed Schouten <ed@FreeBSD.org>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* $FreeBSD$
*/
#ifndef _TGMATH_H_
#define _TGMATH_H_
#include <complex.h>
#include <math.h>
/*
* This implementation of <tgmath.h> uses the two following macros,
* which are based on the macros described in C11 proposal N1404:
* __tg_impl_simple(x, y, z, fnl, fn, fnf, ...)
* Invokes fnl() if the corresponding real type of x, y or z is long
* double, fn() if it is double or any has an integer type, and fnf()
* otherwise.
* __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)
* Invokes [c]fnl() if the corresponding real type of x or y is long
* double, [c]fn() if it is double or any has an integer type, and
* [c]fnf() otherwise. The function with the 'c' prefix is called if
* any of x or y is a complex number.
* Both macros call the chosen function with all additional arguments passed
* to them, as given by __VA_ARGS__.
*
* Note that these macros cannot be implemented with C's ?: operator,
* because the return type of the whole expression would incorrectly be long
* double complex regardless of the argument types.
*
* The structure of the C11 implementation of these macros can in
* principle be reused for non-C11 compilers, but due to an integer
* promotion bug for complex types in GCC 4.2, simply let non-C11
* compilers use an inefficient yet reliable version.
*/
#if defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#define __tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
_Generic(x, \
long double _Complex: cfnl, \
double _Complex: cfn, \
float _Complex: cfnf, \
long double: fnl, \
default: fn, \
float: fnf \
)
#define __tg_type(x) \
__tg_generic(x, (long double _Complex)0, (double _Complex)0, \
(float _Complex)0, (long double)0, (double)0, (float)0)
#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
__tg_generic( \
__tg_type(x) + __tg_type(y) + __tg_type(z), \
fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__)
#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
__tg_generic( \
__tg_type(x) + __tg_type(y), \
cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__)
#elif defined(__generic)
#define __tg_generic_simple(x, fnl, fn, fnf) \
__generic(x, long double _Complex, fnl, \
__generic(x, double _Complex, fn, \
__generic(x, float _Complex, fnf, \
__generic(x, long double, fnl, \
__generic(x, float, fnf, fn)))))
#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
__tg_generic_simple(x, \
__tg_generic_simple(y, \
__tg_generic_simple(z, fnl, fnl, fnl), \
__tg_generic_simple(z, fnl, fnl, fnl), \
__tg_generic_simple(z, fnl, fnl, fnl)), \
__tg_generic_simple(y, \
__tg_generic_simple(z, fnl, fnl, fnl), \
__tg_generic_simple(z, fnl, fn , fn ), \
__tg_generic_simple(z, fnl, fn , fn )), \
__tg_generic_simple(y, \
__tg_generic_simple(z, fnl, fnl, fnl), \
__tg_generic_simple(z, fnl, fn , fn ), \
__tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__)
#define __tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
__generic(x, long double _Complex, cfnl, \
__generic(x, double _Complex, cfn, \
__generic(x, float _Complex, cfnf, \
__generic(x, long double, fnl, \
__generic(x, float, fnf, fn)))))
#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
__tg_generic_full(x, \
__tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl), \
__tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ), \
__tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf), \
__tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ), \
__tg_generic_full(y, cfnl, cfn , cfn , fnl , fn , fn ), \
__tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn , fnf )) \
(__VA_ARGS__)
#else
#error "<tgmath.h> not implemented for this compiler"
#endif
/* Macros to save lots of repetition below */
#define __tg_simple(x, fn) \
__tg_impl_simple(x, x, x, fn##l, fn, fn##f, x)
#define __tg_simple2(x, y, fn) \
__tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y)
#define __tg_simple3(x, y, z, fn) \
__tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z)
#define __tg_simplev(x, fn, ...) \
__tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__)
#define __tg_full(x, fn) \
__tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x)
#define __tg_full2(x, y, fn) \
__tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y)
/* 7.22#4 -- These macros expand to real or complex functions, depending on
* the type of their arguments. */
#define acos(x) __tg_full(x, acos)
#define asin(x) __tg_full(x, asin)
#define atan(x) __tg_full(x, atan)
#define acosh(x) __tg_full(x, acosh)
#define asinh(x) __tg_full(x, asinh)
#define atanh(x) __tg_full(x, atanh)
#define cos(x) __tg_full(x, cos)
#define sin(x) __tg_full(x, sin)
#define tan(x) __tg_full(x, tan)
#define cosh(x) __tg_full(x, cosh)
#define sinh(x) __tg_full(x, sinh)
#define tanh(x) __tg_full(x, tanh)
#define exp(x) __tg_full(x, exp)
#define log(x) __tg_full(x, log)
#define pow(x, y) __tg_full2(x, y, pow)
#define sqrt(x) __tg_full(x, sqrt)
/* "The corresponding type-generic macro for fabs and cabs is fabs." */
#define fabs(x) __tg_impl_full(x, x, cabsl, cabs, cabsf, \
fabsl, fabs, fabsf, x)
/* 7.22#5 -- These macros are only defined for arguments with real type. */
#define atan2(x, y) __tg_simple2(x, y, atan2)
#define cbrt(x) __tg_simple(x, cbrt)
#define ceil(x) __tg_simple(x, ceil)
#define copysign(x, y) __tg_simple2(x, y, copysign)
#define erf(x) __tg_simple(x, erf)
#define erfc(x) __tg_simple(x, erfc)
#define exp2(x) __tg_simple(x, exp2)
#define expm1(x) __tg_simple(x, expm1)
#define fdim(x, y) __tg_simple2(x, y, fdim)
#define floor(x) __tg_simple(x, floor)
#define fma(x, y, z) __tg_simple3(x, y, z, fma)
#define fmax(x, y) __tg_simple2(x, y, fmax)
#define fmin(x, y) __tg_simple2(x, y, fmin)
#define fmod(x, y) __tg_simple2(x, y, fmod)
#define frexp(x, y) __tg_simplev(x, frexp, x, y)
#define hypot(x, y) __tg_simple2(x, y, hypot)
#define ilogb(x) __tg_simple(x, ilogb)
#define ldexp(x, y) __tg_simplev(x, ldexp, x, y)
#define lgamma(x) __tg_simple(x, lgamma)
#define llrint(x) __tg_simple(x, llrint)
#define llround(x) __tg_simple(x, llround)
#define log10(x) __tg_simple(x, log10)
#define log1p(x) __tg_simple(x, log1p)
#define log2(x) __tg_simple(x, log2)
#define logb(x) __tg_simple(x, logb)
#define lrint(x) __tg_simple(x, lrint)
#define lround(x) __tg_simple(x, lround)
#define nearbyint(x) __tg_simple(x, nearbyint)
#define nextafter(x, y) __tg_simple2(x, y, nextafter)
#define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
#define remainder(x, y) __tg_simple2(x, y, remainder)
#define remquo(x, y, z) __tg_impl_simple(x, x, y, remquol, remquo, \
remquof, x, y, z)
#define rint(x) __tg_simple(x, rint)
#define round(x) __tg_simple(x, round)
#define scalbn(x, y) __tg_simplev(x, scalbn, x, y)
#define scalbln(x, y) __tg_simplev(x, scalbln, x, y)
#define tgamma(x) __tg_simple(x, tgamma)
#define trunc(x) __tg_simple(x, trunc)
/* 7.22#6 -- These macros always expand to complex functions. */
#define carg(x) __tg_simple(x, carg)
#define cimag(x) __tg_simple(x, cimag)
#define conj(x) __tg_simple(x, conj)
#define cproj(x) __tg_simple(x, cproj)
#define creal(x) __tg_simple(x, creal)
#endif /* !_TGMATH_H_ */
|
