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34ff0b99 1// -*- C++ -*- C forwarding header.
22aef514 2
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3// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
4// 2006, 2007
34ff0b99 5// Free Software Foundation, Inc.
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6//
7// This file is part of the GNU ISO C++ Library. This library is free
8// software; you can redistribute it and/or modify it under the
9// terms of the GNU General Public License as published by the
10// Free Software Foundation; either version 2, or (at your option)
11// any later version.
12
13// This library is distributed in the hope that it will be useful,
14// but WITHOUT ANY WARRANTY; without even the implied warranty of
15// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16// GNU General Public License for more details.
17
18// You should have received a copy of the GNU General Public License along
19// with this library; see the file COPYING. If not, write to the Free
83f51799 20// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
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21// USA.
22
23// As a special exception, you may use this file as part of a free software
24// library without restriction. Specifically, if other files instantiate
25// templates or use macros or inline functions from this file, or you compile
26// this file and link it with other files to produce an executable, this
27// file does not by itself cause the resulting executable to be covered by
28// the GNU General Public License. This exception does not however
29// invalidate any other reasons why the executable file might be covered by
30// the GNU General Public License.
31
143c27b0 32/** @file include/cmath
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33 * This is a Standard C++ Library file. You should @c #include this file
34 * in your programs, rather than any of the "*.h" implementation files.
35 *
36 * This is the C++ version of the Standard C Library header @c math.h,
37 * and its contents are (mostly) the same as that header, but are all
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38 * contained in the namespace @c std (except for names which are defined
39 * as macros in C).
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40 */
41
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42//
43// ISO C++ 14882: 26.5 C library
44//
45
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46#ifndef _GLIBCXX_CMATH
47#define _GLIBCXX_CMATH 1
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48
49#pragma GCC system_header
22aef514 50
98e6e789 51#include <bits/c++config.h>
cdc958d8 52#include <bits/cpp_type_traits.h>
105c6331 53#include <ext/type_traits.h>
4e588ec9 54
c0dae541 55#include <math.h>
22aef514 56
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57// Get rid of those macros defined in <math.h> in lieu of real functions.
58#undef abs
59#undef div
60#undef acos
61#undef asin
62#undef atan
63#undef atan2
64#undef ceil
65#undef cos
66#undef cosh
67#undef exp
68#undef fabs
69#undef floor
70#undef fmod
71#undef frexp
72#undef ldexp
73#undef log
74#undef log10
75#undef modf
76#undef pow
77#undef sin
78#undef sinh
4200d6fe 79#undef sqrt
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80#undef tan
81#undef tanh
82
3cbc7af0 83_GLIBCXX_BEGIN_NAMESPACE(std)
b39d0359 84
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85 // Forward declaration of a helper function. This really should be
86 // an `exported' forward declaration.
87 template<typename _Tp> _Tp __cmath_power(_Tp, unsigned int);
88
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89 inline double
90 abs(double __x)
91 { return __builtin_fabs(__x); }
92
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93 inline float
94 abs(float __x)
95 { return __builtin_fabsf(__x); }
96
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97 inline long double
98 abs(long double __x)
99 { return __builtin_fabsl(__x); }
100
de96ac46 101 using ::acos;
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102
103 inline float
104 acos(float __x)
105 { return __builtin_acosf(__x); }
106
107 inline long double
108 acos(long double __x)
109 { return __builtin_acosl(__x); }
4e588ec9 110
cdc958d8 111 template<typename _Tp>
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112 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
113 double>::__type
cdc958d8 114 acos(_Tp __x)
105c6331 115 { return __builtin_acos(__x); }
7dd8177f 116
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117 using ::asin;
118
7dd8177f 119 inline float
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120 asin(float __x)
121 { return __builtin_asinf(__x); }
22aef514 122
7dd8177f 123 inline long double
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124 asin(long double __x)
125 { return __builtin_asinl(__x); }
4e588ec9 126
cdc958d8 127 template<typename _Tp>
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128 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
129 double>::__type
cdc958d8 130 asin(_Tp __x)
c85dfef7 131 { return __builtin_asin(__x); }
cdc958d8 132
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133 using ::atan;
134
7dd8177f 135 inline float
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136 atan(float __x)
137 { return __builtin_atanf(__x); }
22aef514 138
7dd8177f 139 inline long double
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140 atan(long double __x)
141 { return __builtin_atanl(__x); }
4e588ec9 142
cdc958d8 143 template<typename _Tp>
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144 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
145 double>::__type
cdc958d8 146 atan(_Tp __x)
c85dfef7 147 { return __builtin_atan(__x); }
7dd8177f 148
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149 using ::atan2;
150
7dd8177f 151 inline float
98e6e789 152 atan2(float __y, float __x)
c85dfef7 153 { return __builtin_atan2f(__y, __x); }
22aef514 154
7dd8177f 155 inline long double
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156 atan2(long double __y, long double __x)
157 { return __builtin_atan2l(__y, __x); }
4e588ec9 158
cdc958d8 159 template<typename _Tp, typename _Up>
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160 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value
161 && __is_integer<_Up>::__value,
162 double>::__type
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163 atan2(_Tp __y, _Up __x)
164 { return __builtin_atan2(__y, __x); }
cdc958d8 165
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166 using ::ceil;
167
7dd8177f 168 inline float
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169 ceil(float __x)
170 { return __builtin_ceilf(__x); }
22aef514 171
7dd8177f 172 inline long double
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173 ceil(long double __x)
174 { return __builtin_ceill(__x); }
22aef514 175
cdc958d8 176 template<typename _Tp>
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177 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
178 double>::__type
cdc958d8 179 ceil(_Tp __x)
c85dfef7 180 { return __builtin_ceil(__x); }
7dd8177f 181
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182 using ::cos;
183
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184 inline float
185 cos(float __x)
186 { return __builtin_cosf(__x); }
187
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188 inline long double
189 cos(long double __x)
190 { return __builtin_cosl(__x); }
191
cdc958d8 192 template<typename _Tp>
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193 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
194 double>::__type
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195 cos(_Tp __x)
196 { return __builtin_cos(__x); }
197
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198 using ::cosh;
199
7dd8177f 200 inline float
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201 cosh(float __x)
202 { return __builtin_coshf(__x); }
22aef514 203
7dd8177f 204 inline long double
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205 cosh(long double __x)
206 { return __builtin_coshl(__x); }
4e588ec9 207
cdc958d8 208 template<typename _Tp>
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209 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
210 double>::__type
cdc958d8 211 cosh(_Tp __x)
c85dfef7 212 { return __builtin_cosh(__x); }
cdc958d8 213
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214 using ::exp;
215
7dd8177f 216 inline float
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217 exp(float __x)
218 { return __builtin_expf(__x); }
22aef514 219
7dd8177f 220 inline long double
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221 exp(long double __x)
222 { return __builtin_expl(__x); }
22aef514 223
cdc958d8 224 template<typename _Tp>
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225 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
226 double>::__type
cdc958d8 227 exp(_Tp __x)
c85dfef7 228 { return __builtin_exp(__x); }
7dd8177f 229
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230 using ::fabs;
231
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232 inline float
233 fabs(float __x)
234 { return __builtin_fabsf(__x); }
235
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236 inline long double
237 fabs(long double __x)
238 { return __builtin_fabsl(__x); }
239
cdc958d8 240 template<typename _Tp>
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241 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
242 double>::__type
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243 fabs(_Tp __x)
244 { return __builtin_fabs(__x); }
245
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246 using ::floor;
247
7dd8177f 248 inline float
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249 floor(float __x)
250 { return __builtin_floorf(__x); }
22aef514 251
7dd8177f 252 inline long double
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253 floor(long double __x)
254 { return __builtin_floorl(__x); }
4e588ec9 255
cdc958d8 256 template<typename _Tp>
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257 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
258 double>::__type
cdc958d8 259 floor(_Tp __x)
c85dfef7 260 { return __builtin_floor(__x); }
7dd8177f 261
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262 using ::fmod;
263
7dd8177f 264 inline float
98e6e789 265 fmod(float __x, float __y)
c85dfef7 266 { return __builtin_fmodf(__x, __y); }
22aef514 267
7dd8177f 268 inline long double
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269 fmod(long double __x, long double __y)
270 { return __builtin_fmodl(__x, __y); }
4e588ec9 271
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272 using ::frexp;
273
7dd8177f 274 inline float
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275 frexp(float __x, int* __exp)
276 { return __builtin_frexpf(__x, __exp); }
22aef514 277
7dd8177f 278 inline long double
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279 frexp(long double __x, int* __exp)
280 { return __builtin_frexpl(__x, __exp); }
4e588ec9 281
cdc958d8 282 template<typename _Tp>
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283 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
284 double>::__type
cdc958d8 285 frexp(_Tp __x, int* __exp)
c85dfef7 286 { return __builtin_frexp(__x, __exp); }
7dd8177f 287
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288 using ::ldexp;
289
7dd8177f 290 inline float
98e6e789 291 ldexp(float __x, int __exp)
c85dfef7 292 { return __builtin_ldexpf(__x, __exp); }
22aef514 293
7dd8177f 294 inline long double
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295 ldexp(long double __x, int __exp)
296 { return __builtin_ldexpl(__x, __exp); }
4e588ec9 297
cdc958d8 298 template<typename _Tp>
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299 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
300 double>::__type
cdc958d8 301 ldexp(_Tp __x, int __exp)
c85dfef7 302 { return __builtin_ldexp(__x, __exp); }
cdc958d8 303
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304 using ::log;
305
7dd8177f 306 inline float
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307 log(float __x)
308 { return __builtin_logf(__x); }
22aef514 309
7dd8177f 310 inline long double
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311 log(long double __x)
312 { return __builtin_logl(__x); }
4e588ec9 313
cdc958d8 314 template<typename _Tp>
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315 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
316 double>::__type
cdc958d8 317 log(_Tp __x)
c85dfef7 318 { return __builtin_log(__x); }
7dd8177f 319
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320 using ::log10;
321
7dd8177f 322 inline float
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323 log10(float __x)
324 { return __builtin_log10f(__x); }
22aef514 325
7dd8177f 326 inline long double
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327 log10(long double __x)
328 { return __builtin_log10l(__x); }
4e588ec9 329
cdc958d8 330 template<typename _Tp>
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331 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
332 double>::__type
cdc958d8 333 log10(_Tp __x)
c85dfef7 334 { return __builtin_log10(__x); }
7dd8177f 335
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336 using ::modf;
337
7dd8177f 338 inline float
98e6e789 339 modf(float __x, float* __iptr)
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340 { return __builtin_modff(__x, __iptr); }
341
7dd8177f 342 inline long double
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343 modf(long double __x, long double* __iptr)
344 { return __builtin_modfl(__x, __iptr); }
4e588ec9 345
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346 template<typename _Tp>
347 inline _Tp
348 __pow_helper(_Tp __x, int __n)
349 {
350 return __n < 0
351 ? _Tp(1)/__cmath_power(__x, -__n)
352 : __cmath_power(__x, __n);
353 }
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354
355 using ::pow;
356
7dd8177f 357 inline float
98e6e789 358 pow(float __x, float __y)
c85dfef7 359 { return __builtin_powf(__x, __y); }
22aef514 360
7dd8177f 361 inline long double
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362 pow(long double __x, long double __y)
363 { return __builtin_powl(__x, __y); }
22aef514 364
7dd8177f 365 inline double
98e6e789 366 pow(double __x, int __i)
ae63a1cc 367 { return __builtin_powi(__x, __i); }
22aef514 368
7dd8177f 369 inline float
d52e4867 370 pow(float __x, int __n)
ae63a1cc 371 { return __builtin_powif(__x, __n); }
d52e4867 372
7dd8177f 373 inline long double
4e588ec9 374 pow(long double __x, int __n)
ae63a1cc 375 { return __builtin_powil(__x, __n); }
22aef514 376
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377 using ::sin;
378
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379 inline float
380 sin(float __x)
381 { return __builtin_sinf(__x); }
22aef514 382
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383 inline long double
384 sin(long double __x)
385 { return __builtin_sinl(__x); }
22aef514 386
cdc958d8 387 template<typename _Tp>
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388 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
389 double>::__type
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390 sin(_Tp __x)
391 { return __builtin_sin(__x); }
392
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393 using ::sinh;
394
7dd8177f 395 inline float
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396 sinh(float __x)
397 { return __builtin_sinhf(__x); }
22aef514 398
7dd8177f 399 inline long double
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400 sinh(long double __x)
401 { return __builtin_sinhl(__x); }
22aef514 402
cdc958d8 403 template<typename _Tp>
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404 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
405 double>::__type
cdc958d8 406 sinh(_Tp __x)
c85dfef7 407 { return __builtin_sinh(__x); }
7dd8177f 408
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409 using ::sqrt;
410
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411 inline float
412 sqrt(float __x)
413 { return __builtin_sqrtf(__x); }
22aef514 414
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415 inline long double
416 sqrt(long double __x)
417 { return __builtin_sqrtl(__x); }
22aef514 418
cdc958d8 419 template<typename _Tp>
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420 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
421 double>::__type
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422 sqrt(_Tp __x)
423 { return __builtin_sqrt(__x); }
7dd8177f 424
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425 using ::tan;
426
7dd8177f 427 inline float
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428 tan(float __x)
429 { return __builtin_tanf(__x); }
22aef514 430
7dd8177f 431 inline long double
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432 tan(long double __x)
433 { return __builtin_tanl(__x); }
22aef514 434
cdc958d8 435 template<typename _Tp>
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436 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
437 double>::__type
cdc958d8 438 tan(_Tp __x)
c85dfef7 439 { return __builtin_tan(__x); }
7dd8177f 440
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441 using ::tanh;
442
7dd8177f 443 inline float
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444 tanh(float __x)
445 { return __builtin_tanhf(__x); }
22aef514 446
7dd8177f 447 inline long double
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448 tanh(long double __x)
449 { return __builtin_tanhl(__x); }
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450
451 template<typename _Tp>
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452 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
453 double>::__type
cdc958d8 454 tanh(_Tp __x)
c85dfef7 455 { return __builtin_tanh(__x); }
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456
457_GLIBCXX_END_NAMESPACE
22aef514 458
517da0ce 459#if _GLIBCXX_USE_C99_MATH
3d7c150e 460#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
7cda84dc 461// These are possible macros imported from C99-land. For strict
3702c634 462// conformance, remove possible C99-injected names from the global
7dd8177f 463// namespace, and sequester them in the __gnu_cxx extension namespace.
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464
465_GLIBCXX_BEGIN_NAMESPACE(__gnu_cxx)
466
7cda84dc 467 template<typename _Tp>
d42a11e1 468 inline int
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469 __capture_fpclassify(_Tp __f) { return fpclassify(__f); }
470
3cbc7af0 471_GLIBCXX_END_NAMESPACE
7cda84dc 472
c04ec67e 473// Only undefine the C99 FP macros, if actually captured for namespace movement
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474#undef fpclassify
475#undef isfinite
476#undef isinf
477#undef isnan
478#undef isnormal
479#undef signbit
480#undef isgreater
481#undef isgreaterequal
482#undef isless
483#undef islessequal
484#undef islessgreater
485#undef isunordered
486
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487_GLIBCXX_BEGIN_NAMESPACE(std)
488
7cda84dc 489 template<typename _Tp>
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490 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
491 int>::__type
492 fpclassify(_Tp __f)
493 {
494 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
495 return ::__gnu_cxx::__capture_fpclassify(__type(__f));
496 }
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497
498 template<typename _Tp>
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499 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
500 int>::__type
501 isfinite(_Tp __f)
502 {
503 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
504 return __builtin_isfinite(__type(__f));
505 }
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506
507 template<typename _Tp>
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508 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
509 int>::__type
510 isinf(_Tp __f)
511 {
512 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
513 return __builtin_isinf(__type(__f));
514 }
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515
516 template<typename _Tp>
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517 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
518 int>::__type
519 isnan(_Tp __f)
520 {
521 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
522 return __builtin_isnan(__type(__f));
523 }
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524
525 template<typename _Tp>
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526 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
527 int>::__type
528 isnormal(_Tp __f)
529 {
530 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
531 return __builtin_isnormal(__type(__f));
532 }
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533
534 template<typename _Tp>
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535 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
536 int>::__type
537 signbit(_Tp __f)
538 {
539 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
540 return __builtin_signbit(__type(__f));
541 }
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542
543 template<typename _Tp>
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544 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
545 int>::__type
3a2794ab 546 isgreater(_Tp __f1, _Tp __f2)
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547 {
548 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
549 return __builtin_isgreater(__type(__f1), __type(__f2));
550 }
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551
552 template<typename _Tp>
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553 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
554 int>::__type
7dd8177f 555 isgreaterequal(_Tp __f1, _Tp __f2)
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556 {
557 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
558 return __builtin_isgreaterequal(__type(__f1), __type(__f2));
559 }
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560
561 template<typename _Tp>
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562 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
563 int>::__type
3a2794ab 564 isless(_Tp __f1, _Tp __f2)
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565 {
566 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
567 return __builtin_isless(__type(__f1), __type(__f2));
568 }
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569
570 template<typename _Tp>
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571 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
572 int>::__type
7dd8177f 573 islessequal(_Tp __f1, _Tp __f2)
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574 {
575 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
576 return __builtin_islessequal(__type(__f1), __type(__f2));
577 }
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578
579 template<typename _Tp>
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580 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
581 int>::__type
7dd8177f 582 islessgreater(_Tp __f1, _Tp __f2)
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583 {
584 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
585 return __builtin_islessgreater(__type(__f1), __type(__f2));
586 }
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587
588 template<typename _Tp>
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589 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
590 int>::__type
7dd8177f 591 isunordered(_Tp __f1, _Tp __f2)
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592 {
593 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
594 return __builtin_isunordered(__type(__f1), __type(__f2));
595 }
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596
597_GLIBCXX_END_NAMESPACE
598
3d7c150e 599#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
7cda84dc 600#endif
7dd8177f 601
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602#ifndef _GLIBCXX_EXPORT_TEMPLATE
603# include <bits/cmath.tcc>
607642b6 604#endif
22aef514 605
98e6e789 606#endif