]> git.ipfire.org Git - thirdparty/gcc.git/blame - libstdc++-v3/include/tr1/cmath
projects / thirdparty / gcc.git / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | blame (incremental) | history | HEAD
Update copyright years.
[thirdparty/gcc.git] / libstdc++-v3 / include / tr1 / cmath
CommitLineData
4f0de5dd
PC		 1// TR1 cmath -*- C++ -*-
2
85ec4feb 3// Copyright (C) 2006-2018 Free Software Foundation, Inc.
4f0de5dd
PC		 4//
5// This file is part of the GNU ISO C++ Library. This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
748086b7 8// Free Software Foundation; either version 3, or (at your option)
4f0de5dd
PC		 9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14// GNU General Public License for more details.
15
748086b7
JJ		 16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
4f0de5dd 19
748086b7
JJ		 20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23// <http://www.gnu.org/licenses/>.
4f0de5dd 24
143c27b0 25/** @file tr1/cmath
4f0de5dd
PC		 26 * This is a TR1 C++ Library header.
27 */
28
e133ace8
PC		 29#ifndef _GLIBCXX_TR1_CMATH
30#define _GLIBCXX_TR1_CMATH 1
4f0de5dd 31
e133ace8 32#pragma GCC system_header
4f0de5dd 33
e133ace8 34#include <cmath>
e133ace8 35
53dc5044
PC		 36#ifdef _GLIBCXX_USE_C99_MATH_TR1
37
38#undef acosh
39#undef acoshf
40#undef acoshl
41#undef asinh
42#undef asinhf
43#undef asinhl
44#undef atanh
45#undef atanhf
46#undef atanhl
47#undef cbrt
48#undef cbrtf
49#undef cbrtl
50#undef copysign
51#undef copysignf
52#undef copysignl
53#undef erf
54#undef erff
55#undef erfl
56#undef erfc
57#undef erfcf
58#undef erfcl
59#undef exp2
60#undef exp2f
61#undef exp2l
62#undef expm1
63#undef expm1f
64#undef expm1l
65#undef fdim
66#undef fdimf
67#undef fdiml
68#undef fma
69#undef fmaf
70#undef fmal
71#undef fmax
72#undef fmaxf
73#undef fmaxl
74#undef fmin
75#undef fminf
76#undef fminl
77#undef hypot
78#undef hypotf
79#undef hypotl
80#undef ilogb
81#undef ilogbf
82#undef ilogbl
83#undef lgamma
84#undef lgammaf
85#undef lgammal
86#undef llrint
87#undef llrintf
88#undef llrintl
89#undef llround
90#undef llroundf
91#undef llroundl
92#undef log1p
93#undef log1pf
94#undef log1pl
95#undef log2
96#undef log2f
97#undef log2l
98#undef logb
99#undef logbf
100#undef logbl
101#undef lrint
102#undef lrintf
103#undef lrintl
104#undef lround
105#undef lroundf
106#undef lroundl
107#undef nan
108#undef nanf
109#undef nanl
110#undef nearbyint
111#undef nearbyintf
112#undef nearbyintl
113#undef nextafter
114#undef nextafterf
115#undef nextafterl
116#undef nexttoward
117#undef nexttowardf
118#undef nexttowardl
119#undef remainder
120#undef remainderf
121#undef remainderl
122#undef remquo
123#undef remquof
124#undef remquol
125#undef rint
126#undef rintf
127#undef rintl
128#undef round
129#undef roundf
130#undef roundl
131#undef scalbln
132#undef scalblnf
133#undef scalblnl
134#undef scalbn
135#undef scalbnf
136#undef scalbnl
137#undef tgamma
138#undef tgammaf
139#undef tgammal
140#undef trunc
141#undef truncf
142#undef truncl
143
144#endif
145
12ffa228 146namespace std _GLIBCXX_VISIBILITY(default)
53dc5044 147{
12ffa228
BK		 148_GLIBCXX_BEGIN_NAMESPACE_VERSION
149
4a15d842
FD		 150namespace tr1
151{
53dc5044
PC		 152#if _GLIBCXX_USE_C99_MATH_TR1
153
9aee022e
JW		 154 // Using declarations to bring names from libc's <math.h> into std::tr1.
155
53dc5044
PC		 156 // types
157 using ::double_t;
158 using ::float_t;
159
160 // functions
161 using ::acosh;
162 using ::acoshf;
163 using ::acoshl;
164
165 using ::asinh;
166 using ::asinhf;
167 using ::asinhl;
168
169 using ::atanh;
170 using ::atanhf;
171 using ::atanhl;
172
173 using ::cbrt;
174 using ::cbrtf;
175 using ::cbrtl;
176
177 using ::copysign;
178 using ::copysignf;
179 using ::copysignl;
180
181 using ::erf;
182 using ::erff;
183 using ::erfl;
184
185 using ::erfc;
186 using ::erfcf;
187 using ::erfcl;
188
189 using ::exp2;
190 using ::exp2f;
191 using ::exp2l;
192
193 using ::expm1;
194 using ::expm1f;
195 using ::expm1l;
196
197 using ::fdim;
198 using ::fdimf;
199 using ::fdiml;
200
201 using ::fma;
202 using ::fmaf;
203 using ::fmal;
204
205 using ::fmax;
206 using ::fmaxf;
207 using ::fmaxl;
208
209 using ::fmin;
210 using ::fminf;
211 using ::fminl;
212
213 using ::hypot;
214 using ::hypotf;
215 using ::hypotl;
216
217 using ::ilogb;
218 using ::ilogbf;
219 using ::ilogbl;
220
221 using ::lgamma;
222 using ::lgammaf;
223 using ::lgammal;
224
225 using ::llrint;
226 using ::llrintf;
227 using ::llrintl;
228
229 using ::llround;
230 using ::llroundf;
231 using ::llroundl;
232
233 using ::log1p;
234 using ::log1pf;
235 using ::log1pl;
236
237 using ::log2;
238 using ::log2f;
239 using ::log2l;
240
241 using ::logb;
242 using ::logbf;
243 using ::logbl;
244
245 using ::lrint;
246 using ::lrintf;
247 using ::lrintl;
248
249 using ::lround;
250 using ::lroundf;
251 using ::lroundl;
252
253 using ::nan;
254 using ::nanf;
255 using ::nanl;
256
257 using ::nearbyint;
258 using ::nearbyintf;
259 using ::nearbyintl;
260
261 using ::nextafter;
262 using ::nextafterf;
263 using ::nextafterl;
264
265 using ::nexttoward;
266 using ::nexttowardf;
267 using ::nexttowardl;
268
269 using ::remainder;
270 using ::remainderf;
271 using ::remainderl;
272
273 using ::remquo;
274 using ::remquof;
275 using ::remquol;
276
277 using ::rint;
278 using ::rintf;
279 using ::rintl;
280
281 using ::round;
282 using ::roundf;
283 using ::roundl;
284
285 using ::scalbln;
286 using ::scalblnf;
287 using ::scalblnl;
288
289 using ::scalbn;
290 using ::scalbnf;
291 using ::scalbnl;
292
293 using ::tgamma;
294 using ::tgammaf;
295 using ::tgammal;
296
297 using ::trunc;
298 using ::truncf;
299 using ::truncl;
300
301#endif
302
303#if _GLIBCXX_USE_C99_MATH
304#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
305
306 /// Function template definitions [8.16.3].
307 template<typename _Tp>
308 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
309 int>::__type
310 fpclassify(_Tp __f)
311 {
312 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
313 return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
314 FP_SUBNORMAL, FP_ZERO, __type(__f));
315 }
316
317 template<typename _Tp>
318 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
319 int>::__type
320 isfinite(_Tp __f)
321 {
322 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
323 return __builtin_isfinite(__type(__f));
324 }
325
326 template<typename _Tp>
327 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
328 int>::__type
329 isinf(_Tp __f)
330 {
331 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
332 return __builtin_isinf(__type(__f));
333 }
334
335 template<typename _Tp>
336 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
337 int>::__type
338 isnan(_Tp __f)
339 {
340 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
341 return __builtin_isnan(__type(__f));
342 }
343
344 template<typename _Tp>
345 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
346 int>::__type
347 isnormal(_Tp __f)
348 {
349 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
350 return __builtin_isnormal(__type(__f));
351 }
352
353 template<typename _Tp>
354 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
355 int>::__type
356 signbit(_Tp __f)
357 {
358 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
359 return __builtin_signbit(__type(__f));
360 }
361
362 template<typename _Tp>
363 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
364 int>::__type
365 isgreater(_Tp __f1, _Tp __f2)
366 {
367 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
368 return __builtin_isgreater(__type(__f1), __type(__f2));
369 }
370
371 template<typename _Tp>
372 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
373 int>::__type
374 isgreaterequal(_Tp __f1, _Tp __f2)
375 {
376 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
377 return __builtin_isgreaterequal(__type(__f1), __type(__f2));
378 }
379
380 template<typename _Tp>
381 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
382 int>::__type
383 isless(_Tp __f1, _Tp __f2)
384 {
385 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
386 return __builtin_isless(__type(__f1), __type(__f2));
387 }
388
389 template<typename _Tp>
390 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
391 int>::__type
392 islessequal(_Tp __f1, _Tp __f2)
393 {
394 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
395 return __builtin_islessequal(__type(__f1), __type(__f2));
396 }
397
398 template<typename _Tp>
399 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
400 int>::__type
401 islessgreater(_Tp __f1, _Tp __f2)
402 {
403 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
404 return __builtin_islessgreater(__type(__f1), __type(__f2));
405 }
406
407 template<typename _Tp>
408 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
409 int>::__type
410 isunordered(_Tp __f1, _Tp __f2)
411 {
412 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
413 return __builtin_isunordered(__type(__f1), __type(__f2));
414 }
415
416#endif
417#endif
418
419#if _GLIBCXX_USE_C99_MATH_TR1
420
9aee022e
JW		 421 /** Additional overloads [8.16.4].
422 * @{
423 */
424
425 // For functions defined in C++03 the additional overloads are already
426 // declared in <cmath> so we can just re-declare them in std::tr1.
427
53dc5044 428 using std::acos;
9aee022e
JW		 429 using std::asin;
430 using std::atan;
431 using std::atan2;
432 using std::ceil;
433 using std::cos;
434 using std::cosh;
435 using std::exp;
436 using std::floor;
437 using std::fmod;
438 using std::frexp;
439 using std::ldexp;
440 using std::log;
441 using std::log10;
442 using std::sin;
443 using std::sinh;
444 using std::sqrt;
445 using std::tan;
446 using std::tanh;
447
448#if __cplusplus >= 201103L
449
450 // Since C++11, <cmath> defines additional overloads for these functions
451 // in namespace std.
452
453 using std::acosh;
454 using std::asinh;
455 using std::atanh;
456 using std::cbrt;
457 using std::copysign;
458 using std::erf;
459 using std::erfc;
460 using std::exp2;
461 using std::expm1;
462 using std::fdim;
463 using std::fma;
464 using std::fmax;
465 using std::fmin;
466 using std::hypot;
467 using std::ilogb;
468 using std::lgamma;
469 using std::llrint;
470 using std::llround;
471 using std::log1p;
472 using std::log2;
473 using std::logb;
474 using std::lrint;
475 using std::lround;
476 using std::nan;
477 using std::nearbyint;
478 using std::nextafter;
479 using std::nexttoward;
480 using std::remainder;
481 using std::remquo;
482 using std::rint;
483 using std::round;
484 using std::scalbln;
485 using std::scalbn;
486 using std::tgamma;
487 using std::trunc;
488
489#else // __cplusplus < 201103L
490
491 // In C++03 we need to provide the additional overloads.
53dc5044 492
3115f94f 493#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 494 inline float
495 acosh(float __x)
496 { return __builtin_acoshf(__x); }
497
498 inline long double
499 acosh(long double __x)
500 { return __builtin_acoshl(__x); }
ef3a7506 501#endif
53dc5044
PC		 502
503 template<typename _Tp>
b04fa738
PC		 504 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
505 double>::__type
53dc5044 506 acosh(_Tp __x)
b04fa738 507 { return __builtin_acosh(__x); }
53dc5044 508
3115f94f 509#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 510 inline float
511 asinh(float __x)
512 { return __builtin_asinhf(__x); }
513
514 inline long double
515 asinh(long double __x)
516 { return __builtin_asinhl(__x); }
ef3a7506 517#endif
53dc5044
PC		 518
519 template<typename _Tp>
b04fa738
PC		 520 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
521 double>::__type
53dc5044 522 asinh(_Tp __x)
b04fa738 523 { return __builtin_asinh(__x); }
53dc5044 524
3115f94f 525#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 526 inline float
527 atanh(float __x)
528 { return __builtin_atanhf(__x); }
529
530 inline long double
531 atanh(long double __x)
532 { return __builtin_atanhl(__x); }
ef3a7506 533#endif
53dc5044
PC		 534
535 template<typename _Tp>
b04fa738
PC		 536 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
537 double>::__type
53dc5044 538 atanh(_Tp __x)
b04fa738 539 { return __builtin_atanh(__x); }
53dc5044 540
3115f94f 541#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 542 inline float
543 cbrt(float __x)
544 { return __builtin_cbrtf(__x); }
545
546 inline long double
547 cbrt(long double __x)
548 { return __builtin_cbrtl(__x); }
ef3a7506 549#endif
53dc5044
PC		 550
551 template<typename _Tp>
b04fa738
PC		 552 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
553 double>::__type
53dc5044 554 cbrt(_Tp __x)
b04fa738 555 { return __builtin_cbrt(__x); }
53dc5044 556
3115f94f 557#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 558 inline float
559 copysign(float __x, float __y)
560 { return __builtin_copysignf(__x, __y); }
561
562 inline long double
563 copysign(long double __x, long double __y)
564 { return __builtin_copysignl(__x, __y); }
ef3a7506 565#endif
53dc5044
PC		 566
567 template<typename _Tp, typename _Up>
9fb29828 568 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 569 copysign(_Tp __x, _Up __y)
570 {
571 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
572 return copysign(__type(__x), __type(__y));
573 }
574
3115f94f 575#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 576 inline float
577 erf(float __x)
578 { return __builtin_erff(__x); }
579
580 inline long double
581 erf(long double __x)
582 { return __builtin_erfl(__x); }
ef3a7506 583#endif
53dc5044
PC		 584
585 template<typename _Tp>
b04fa738
PC		 586 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
587 double>::__type
53dc5044 588 erf(_Tp __x)
b04fa738 589 { return __builtin_erf(__x); }
53dc5044 590
3115f94f 591#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 592 inline float
593 erfc(float __x)
594 { return __builtin_erfcf(__x); }
595
596 inline long double
597 erfc(long double __x)
598 { return __builtin_erfcl(__x); }
ef3a7506 599#endif
53dc5044
PC		 600
601 template<typename _Tp>
b04fa738
PC		 602 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
603 double>::__type
53dc5044 604 erfc(_Tp __x)
b04fa738 605 { return __builtin_erfc(__x); }
53dc5044 606
3115f94f 607#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 608 inline float
609 exp2(float __x)
610 { return __builtin_exp2f(__x); }
611
612 inline long double
613 exp2(long double __x)
614 { return __builtin_exp2l(__x); }
ef3a7506 615#endif
53dc5044
PC		 616
617 template<typename _Tp>
b04fa738
PC		 618 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
619 double>::__type
53dc5044 620 exp2(_Tp __x)
b04fa738 621 { return __builtin_exp2(__x); }
53dc5044 622
3115f94f 623#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 624 inline float
625 expm1(float __x)
626 { return __builtin_expm1f(__x); }
627
628 inline long double
629 expm1(long double __x)
630 { return __builtin_expm1l(__x); }
ef3a7506 631#endif
53dc5044
PC		 632
633 template<typename _Tp>
b04fa738
PC		 634 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
635 double>::__type
53dc5044 636 expm1(_Tp __x)
b04fa738 637 { return __builtin_expm1(__x); }
53dc5044 638
3115f94f 639#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 640 inline float
641 fdim(float __x, float __y)
642 { return __builtin_fdimf(__x, __y); }
643
644 inline long double
645 fdim(long double __x, long double __y)
646 { return __builtin_fdiml(__x, __y); }
ef3a7506 647#endif
53dc5044
PC		 648
649 template<typename _Tp, typename _Up>
9fb29828 650 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 651 fdim(_Tp __x, _Up __y)
652 {
653 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
654 return fdim(__type(__x), __type(__y));
655 }
656
3115f94f 657#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 658 inline float
659 fma(float __x, float __y, float __z)
660 { return __builtin_fmaf(__x, __y, __z); }
661
662 inline long double
663 fma(long double __x, long double __y, long double __z)
664 { return __builtin_fmal(__x, __y, __z); }
ef3a7506 665#endif
53dc5044
PC		 666
667 template<typename _Tp, typename _Up, typename _Vp>
9fb29828 668 inline typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
53dc5044
PC		 669 fma(_Tp __x, _Up __y, _Vp __z)
670 {
671 typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
672 return fma(__type(__x), __type(__y), __type(__z));
673 }
674
3115f94f 675#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 676 inline float
677 fmax(float __x, float __y)
678 { return __builtin_fmaxf(__x, __y); }
679
680 inline long double
681 fmax(long double __x, long double __y)
682 { return __builtin_fmaxl(__x, __y); }
ef3a7506 683#endif
53dc5044
PC		 684
685 template<typename _Tp, typename _Up>
9fb29828 686 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 687 fmax(_Tp __x, _Up __y)
688 {
689 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
690 return fmax(__type(__x), __type(__y));
691 }
692
3115f94f 693#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 694 inline float
695 fmin(float __x, float __y)
696 { return __builtin_fminf(__x, __y); }
697
698 inline long double
699 fmin(long double __x, long double __y)
700 { return __builtin_fminl(__x, __y); }
ef3a7506 701#endif
53dc5044
PC		 702
703 template<typename _Tp, typename _Up>
9fb29828 704 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 705 fmin(_Tp __x, _Up __y)
706 {
707 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
708 return fmin(__type(__x), __type(__y));
709 }
710
3115f94f 711#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 712 inline float
713 hypot(float __x, float __y)
714 { return __builtin_hypotf(__x, __y); }
715
716 inline long double
717 hypot(long double __x, long double __y)
718 { return __builtin_hypotl(__x, __y); }
ef3a7506 719#endif
53dc5044
PC		 720
721 template<typename _Tp, typename _Up>
9fb29828 722 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
b04fa738 723 hypot(_Tp __y, _Up __x)
53dc5044
PC		 724 {
725 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
b04fa738 726 return hypot(__type(__y), __type(__x));
53dc5044
PC		 727 }
728
3115f94f 729#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 730 inline int
731 ilogb(float __x)
732 { return __builtin_ilogbf(__x); }
733
734 inline int
735 ilogb(long double __x)
736 { return __builtin_ilogbl(__x); }
ef3a7506 737#endif
53dc5044
PC		 738
739 template<typename _Tp>
b04fa738
PC		 740 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
741 int>::__type
53dc5044 742 ilogb(_Tp __x)
b04fa738 743 { return __builtin_ilogb(__x); }
53dc5044 744
3115f94f 745#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 746 inline float
747 lgamma(float __x)
748 { return __builtin_lgammaf(__x); }
749
750 inline long double
751 lgamma(long double __x)
752 { return __builtin_lgammal(__x); }
ef3a7506 753#endif
53dc5044
PC		 754
755 template<typename _Tp>
b04fa738
PC		 756 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
757 double>::__type
53dc5044 758 lgamma(_Tp __x)
b04fa738 759 { return __builtin_lgamma(__x); }
53dc5044 760
3115f94f 761#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 762 inline long long
763 llrint(float __x)
764 { return __builtin_llrintf(__x); }
765
766 inline long long
767 llrint(long double __x)
768 { return __builtin_llrintl(__x); }
ef3a7506 769#endif
53dc5044
PC		 770
771 template<typename _Tp>
b04fa738
PC		 772 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
773 long long>::__type
53dc5044 774 llrint(_Tp __x)
b04fa738 775 { return __builtin_llrint(__x); }
53dc5044 776
3115f94f 777#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 778 inline long long
779 llround(float __x)
780 { return __builtin_llroundf(__x); }
781
782 inline long long
783 llround(long double __x)
784 { return __builtin_llroundl(__x); }
ef3a7506 785#endif
53dc5044
PC		 786
787 template<typename _Tp>
b04fa738
PC		 788 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
789 long long>::__type
53dc5044 790 llround(_Tp __x)
b04fa738 791 { return __builtin_llround(__x); }
53dc5044 792
3115f94f 793#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 794 inline float
795 log1p(float __x)
796 { return __builtin_log1pf(__x); }
797
798 inline long double
799 log1p(long double __x)
800 { return __builtin_log1pl(__x); }
ef3a7506 801#endif
53dc5044
PC		 802
803 template<typename _Tp>
b04fa738
PC		 804 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
805 double>::__type
53dc5044 806 log1p(_Tp __x)
b04fa738 807 { return __builtin_log1p(__x); }
53dc5044
PC		 808
809 // DR 568.
3115f94f 810#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 811 inline float
812 log2(float __x)
813 { return __builtin_log2f(__x); }
814
815 inline long double
816 log2(long double __x)
817 { return __builtin_log2l(__x); }
ef3a7506 818#endif
53dc5044
PC		 819
820 template<typename _Tp>
b04fa738
PC		 821 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
822 double>::__type
53dc5044 823 log2(_Tp __x)
b04fa738 824 { return __builtin_log2(__x); }
53dc5044 825
3115f94f 826#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 827 inline float
828 logb(float __x)
829 { return __builtin_logbf(__x); }
830
831 inline long double
832 logb(long double __x)
833 { return __builtin_logbl(__x); }
ef3a7506 834#endif
53dc5044
PC		 835
836 template<typename _Tp>
b04fa738
PC		 837 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
838 double>::__type
53dc5044
PC		 839 logb(_Tp __x)
840 {
b04fa738 841 return __builtin_logb(__x);
53dc5044
PC		 842 }
843
3115f94f 844#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 845 inline long
846 lrint(float __x)
847 { return __builtin_lrintf(__x); }
848
849 inline long
850 lrint(long double __x)
851 { return __builtin_lrintl(__x); }
ef3a7506 852#endif
53dc5044
PC		 853
854 template<typename _Tp>
b04fa738
PC		 855 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
856 long>::__type
53dc5044 857 lrint(_Tp __x)
b04fa738 858 { return __builtin_lrint(__x); }
53dc5044 859
3115f94f 860#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 861 inline long
862 lround(float __x)
863 { return __builtin_lroundf(__x); }
864
865 inline long
866 lround(long double __x)
867 { return __builtin_lroundl(__x); }
ef3a7506 868#endif
53dc5044
PC		 869
870 template<typename _Tp>
b04fa738
PC		 871 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
872 long>::__type
53dc5044 873 lround(_Tp __x)
b04fa738 874 { return __builtin_lround(__x); }
53dc5044 875
3115f94f 876#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 877 inline float
878 nearbyint(float __x)
879 { return __builtin_nearbyintf(__x); }
880
881 inline long double
882 nearbyint(long double __x)
883 { return __builtin_nearbyintl(__x); }
ef3a7506 884#endif
53dc5044
PC		 885
886 template<typename _Tp>
b04fa738
PC		 887 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
888 double>::__type
53dc5044 889 nearbyint(_Tp __x)
b04fa738 890 { return __builtin_nearbyint(__x); }
53dc5044 891
3115f94f 892#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 893 inline float
894 nextafter(float __x, float __y)
895 { return __builtin_nextafterf(__x, __y); }
896
897 inline long double
898 nextafter(long double __x, long double __y)
899 { return __builtin_nextafterl(__x, __y); }
ef3a7506 900#endif
53dc5044
PC		 901
902 template<typename _Tp, typename _Up>
9fb29828 903 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 904 nextafter(_Tp __x, _Up __y)
905 {
906 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
907 return nextafter(__type(__x), __type(__y));
908 }
909
3115f94f 910#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 911 inline float
912 nexttoward(float __x, long double __y)
913 { return __builtin_nexttowardf(__x, __y); }
914
915 inline long double
916 nexttoward(long double __x, long double __y)
917 { return __builtin_nexttowardl(__x, __y); }
ef3a7506 918#endif
53dc5044
PC		 919
920 template<typename _Tp>
b04fa738
PC		 921 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
922 double>::__type
53dc5044 923 nexttoward(_Tp __x, long double __y)
b04fa738 924 { return __builtin_nexttoward(__x, __y); }
53dc5044 925
3115f94f 926#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 927 inline float
928 remainder(float __x, float __y)
929 { return __builtin_remainderf(__x, __y); }
930
931 inline long double
932 remainder(long double __x, long double __y)
933 { return __builtin_remainderl(__x, __y); }
ef3a7506 934#endif
53dc5044
PC		 935
936 template<typename _Tp, typename _Up>
9fb29828 937 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 938 remainder(_Tp __x, _Up __y)
939 {
940 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
941 return remainder(__type(__x), __type(__y));
942 }
943
3115f94f 944#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 945 inline float
946 remquo(float __x, float __y, int* __pquo)
947 { return __builtin_remquof(__x, __y, __pquo); }
948
949 inline long double
950 remquo(long double __x, long double __y, int* __pquo)
951 { return __builtin_remquol(__x, __y, __pquo); }
ef3a7506 952#endif
53dc5044
PC		 953
954 template<typename _Tp, typename _Up>
9fb29828 955 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
53dc5044
PC		 956 remquo(_Tp __x, _Up __y, int* __pquo)
957 {
958 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
959 return remquo(__type(__x), __type(__y), __pquo);
960 }
961
3115f94f 962#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 963 inline float
964 rint(float __x)
965 { return __builtin_rintf(__x); }
966
967 inline long double
968 rint(long double __x)
969 { return __builtin_rintl(__x); }
ef3a7506 970#endif
53dc5044
PC		 971
972 template<typename _Tp>
b04fa738
PC		 973 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
974 double>::__type
53dc5044 975 rint(_Tp __x)
b04fa738 976 { return __builtin_rint(__x); }
53dc5044 977
3115f94f 978#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 979 inline float
980 round(float __x)
981 { return __builtin_roundf(__x); }
982
983 inline long double
984 round(long double __x)
985 { return __builtin_roundl(__x); }
ef3a7506 986#endif
53dc5044
PC		 987
988 template<typename _Tp>
b04fa738
PC		 989 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
990 double>::__type
53dc5044 991 round(_Tp __x)
b04fa738 992 { return __builtin_round(__x); }
53dc5044 993
3115f94f 994#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 995 inline float
996 scalbln(float __x, long __ex)
997 { return __builtin_scalblnf(__x, __ex); }
998
999 inline long double
1000 scalbln(long double __x, long __ex)
1001 { return __builtin_scalblnl(__x, __ex); }
ef3a7506 1002#endif
53dc5044
PC		 1003
1004 template<typename _Tp>
b04fa738
PC		 1005 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
1006 double>::__type
53dc5044 1007 scalbln(_Tp __x, long __ex)
b04fa738 1008 { return __builtin_scalbln(__x, __ex); }
53dc5044 1009
3115f94f 1010#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 1011 inline float
1012 scalbn(float __x, int __ex)
1013 { return __builtin_scalbnf(__x, __ex); }
1014
1015 inline long double
1016 scalbn(long double __x, int __ex)
1017 { return __builtin_scalbnl(__x, __ex); }
ef3a7506 1018#endif
53dc5044
PC		 1019
1020 template<typename _Tp>
b04fa738
PC		 1021 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
1022 double>::__type
53dc5044 1023 scalbn(_Tp __x, int __ex)
b04fa738 1024 { return __builtin_scalbn(__x, __ex); }
53dc5044 1025
3115f94f 1026#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 1027 inline float
1028 tgamma(float __x)
1029 { return __builtin_tgammaf(__x); }
1030
1031 inline long double
1032 tgamma(long double __x)
1033 { return __builtin_tgammal(__x); }
ef3a7506 1034#endif
53dc5044
PC		 1035
1036 template<typename _Tp>
b04fa738
PC		 1037 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
1038 double>::__type
53dc5044 1039 tgamma(_Tp __x)
b04fa738 1040 { return __builtin_tgamma(__x); }
53dc5044 1041
3115f94f 1042#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
53dc5044
PC		 1043 inline float
1044 trunc(float __x)
1045 { return __builtin_truncf(__x); }
1046
1047 inline long double
1048 trunc(long double __x)
1049 { return __builtin_truncl(__x); }
ef3a7506 1050#endif
53dc5044
PC		 1051
1052 template<typename _Tp>
b04fa738
PC		 1053 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
1054 double>::__type
53dc5044 1055 trunc(_Tp __x)
b04fa738 1056 { return __builtin_trunc(__x); }
53dc5044 1057
9aee022e
JW		 1058#endif // __cplusplus < 201103L
1059
1060 // @}
1061
4a15d842 1062#endif /* _GLIBCXX_USE_C99_MATH_TR1 */
12ffa228 1063
774c3d86 1064 // DR 550. What should the return type of pow(float,int) be?
9aee022e
JW		 1065 // NB: C++11 and TR1 != C++03.
1066
1067 // We cannot do "using std::pow;" because that would bring in unwanted
1068 // pow(*, int) overloads in C++03, with the wrong return type. Instead we
1069 // define all the necessary overloads, but the std::tr1::pow(double, double)
1070 // overload cannot be provided here, because <tr1/math.h> would add it to
1071 // the global namespace where it would clash with ::pow(double,double) from
1072 // libc (revealed by the fix of PR c++/54537).
1073 // The solution is to forward std::tr1::pow(double,double) to
1074 // std::pow(double,double) via the function template below. See
fb23b69e
FC		 1075 // the discussion about this issue here:
1076 // http://gcc.gnu.org/ml/gcc-patches/2012-09/msg01278.html
774c3d86 1077
3115f94f 1078#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
774c3d86
PC		 1079 inline float
1080 pow(float __x, float __y)
1081 { return std::pow(__x, __y); }
1082
1083 inline long double
1084 pow(long double __x, long double __y)
1085 { return std::pow(__x, __y); }
ef3a7506 1086#endif
774c3d86
PC		 1087
1088 template<typename _Tp, typename _Up>
1089 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1090 pow(_Tp __x, _Up __y)
1091 {
1092 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1093 return std::pow(__type(__x), __type(__y));
1094 }
12ffa228 1095
9aee022e
JW		 1096#if __cplusplus >= 201103L
1097 // We also deal with fabs in a special way, because "using std::fabs;"
1098 // could bring in C++11's std::fabs<T>(const std::complex<T>&) with a
1099 // different return type from std::tr1::fabs<T>(const std::complex<T>&).
1100 // We define the necessary overloads, except std::tr1::fabs(double) which
1101 // could clash with ::fabs(double) from libc.
1102 // The function template handles double as well as integers, forwarding
1103 // to std::fabs.
1104
1105#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
3115f94f 1106#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
9aee022e
JW		 1107 inline float
1108 fabs(float __x)
1109 { return __builtin_fabsf(__x); }
1110
1111 inline long double
1112 fabs(long double __x)
1113 { return __builtin_fabsl(__x); }
1114#endif
1115#endif
1116
1117 template<typename _Tp>
1118 inline typename __gnu_cxx::__promote<_Tp>::__type
1119 fabs(_Tp __x)
1120 { return std::fabs(__x); }
1121
1122#else // ! C++11
1123
1124 // For C++03 just use std::fabs as there is no overload for std::complex<>.
1125 using std::fabs;
1126
1127#endif // C++11
1128
f8571e51 1129#if _GLIBCXX_USE_STD_SPEC_FUNCS
2be75957 1130
2be75957
ESR		 1131 /**
1132 * @defgroup tr1_math_spec_func Mathematical Special Functions
1133 * @ingroup numerics
1134 *
1135 * A collection of advanced mathematical special functions.
1136 * @{
1137 */
1138
1139 using std::assoc_laguerref;
1140 using std::assoc_laguerrel;
1141 using std::assoc_laguerre;
1142
1143 using std::assoc_legendref;
1144 using std::assoc_legendrel;
1145 using std::assoc_legendre;
1146
1147 using std::betaf;
1148 using std::betal;
1149 using std::beta;
1150
1151 using std::comp_ellint_1f;
1152 using std::comp_ellint_1l;
1153 using std::comp_ellint_1;
1154
1155 using std::comp_ellint_2f;
1156 using std::comp_ellint_2l;
1157 using std::comp_ellint_2;
1158
1159 using std::comp_ellint_3f;
1160 using std::comp_ellint_3l;
1161 using std::comp_ellint_3;
1162
1163 using __gnu_cxx::conf_hypergf;
1164 using __gnu_cxx::conf_hypergl;
1165 using __gnu_cxx::conf_hyperg;
1166
1167 using std::cyl_bessel_if;
1168 using std::cyl_bessel_il;
1169 using std::cyl_bessel_i;
1170
1171 using std::cyl_bessel_jf;
1172 using std::cyl_bessel_jl;
1173 using std::cyl_bessel_j;
1174
1175 using std::cyl_bessel_kf;
1176 using std::cyl_bessel_kl;
1177 using std::cyl_bessel_k;
1178
1179 using std::cyl_neumannf;
1180 using std::cyl_neumannl;
1181 using std::cyl_neumann;
1182
1183 using std::ellint_1f;
1184 using std::ellint_1l;
1185 using std::ellint_1;
1186
1187 using std::ellint_2f;
1188 using std::ellint_2l;
1189 using std::ellint_2;
1190
1191 using std::ellint_3f;
1192 using std::ellint_3l;
1193 using std::ellint_3;
1194
1195 using std::expintf;
1196 using std::expintl;
1197 using std::expint;
1198
1199 using std::hermitef;
1200 using std::hermitel;
1201 using std::hermite;
1202
1203 using __gnu_cxx::hypergf;
1204 using __gnu_cxx::hypergl;
1205 using __gnu_cxx::hyperg;
1206
1207 using std::laguerref;
1208 using std::laguerrel;
1209 using std::laguerre;
1210
1211 using std::legendref;
1212 using std::legendrel;
1213 using std::legendre;
1214
1215 using std::riemann_zetaf;
1216 using std::riemann_zetal;
1217 using std::riemann_zeta;
1218
1219 using std::sph_besself;
1220 using std::sph_bessell;
1221 using std::sph_bessel;
1222
1223 using std::sph_legendref;
1224 using std::sph_legendrel;
1225 using std::sph_legendre;
1226
1227 using std::sph_neumannf;
1228 using std::sph_neumannl;
1229 using std::sph_neumann;
1230
1231 /* @} */ // tr1_math_spec_func
2be75957 1232
f8571e51 1233#else // ! _GLIBCXX_USE_STD_SPEC_FUNCS
2be75957 1234
4a15d842
FD		 1235} // namespace tr1
1236
1237_GLIBCXX_END_NAMESPACE_VERSION
1238} // namespace std
1239
e133ace8
PC		 1240#include <bits/stl_algobase.h>
1241#include <limits>
28b69d5d 1242#include <tr1/type_traits>
939759fc 1243
7c62b943
BK		 1244#include <tr1/gamma.tcc>
1245#include <tr1/bessel_function.tcc>
1246#include <tr1/beta_function.tcc>
1247#include <tr1/ell_integral.tcc>
1248#include <tr1/exp_integral.tcc>
1249#include <tr1/hypergeometric.tcc>
1250#include <tr1/legendre_function.tcc>
1251#include <tr1/modified_bessel_func.tcc>
1252#include <tr1/poly_hermite.tcc>
1253#include <tr1/poly_laguerre.tcc>
1254#include <tr1/riemann_zeta.tcc>
1255
12ffa228 1256namespace std _GLIBCXX_VISIBILITY(default)
7c62b943 1257{
12ffa228
BK		 1258_GLIBCXX_BEGIN_NAMESPACE_VERSION
1259
4a15d842
FD		 1260namespace tr1
1261{
939759fc 1262 /**
aac2878e
BK		 1263 * @defgroup tr1_math_spec_func Mathematical Special Functions
1264 * @ingroup numerics
1265 *
939759fc
BK		 1266 * A collection of advanced mathematical special functions.
1267 * @{
1268 */
1269
7c62b943
BK		 1270 inline float
1271 assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
1272 { return __detail::__assoc_laguerre<float>(__n, __m, __x); }
1273
1274 inline long double
1275 assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
1276 {
1277 return __detail::__assoc_laguerre<long double>(__n, __m, __x);
1278 }
1279
939759fc 1280 /// 5.2.1.1 Associated Laguerre polynomials.
7c62b943 1281 template<typename _Tp>
e133ace8 1282 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1283 assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
1284 {
e133ace8 1285 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1286 return __detail::__assoc_laguerre<__type>(__n, __m, __x);
1287 }
1288
7c62b943
BK		 1289 inline float
1290 assoc_legendref(unsigned int __l, unsigned int __m, float __x)
1291 { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }
1292
1293 inline long double
1294 assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
1295 { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
1296
939759fc 1297 /// 5.2.1.2 Associated Legendre functions.
7c62b943 1298 template<typename _Tp>
e133ace8 1299 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1300 assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
1301 {
e133ace8 1302 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1303 return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
1304 }
1305
7c62b943
BK		 1306 inline float
1307 betaf(float __x, float __y)
1308 { return __detail::__beta<float>(__x, __y); }
1309
1310 inline long double
1311 betal(long double __x, long double __y)
1312 { return __detail::__beta<long double>(__x, __y); }
1313
939759fc 1314 /// 5.2.1.3 Beta functions.
7c62b943 1315 template<typename _Tpx, typename _Tpy>
e133ace8 1316 inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
7c62b943
BK		 1317 beta(_Tpx __x, _Tpy __y)
1318 {
e133ace8 1319 typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
7c62b943
BK		 1320 return __detail::__beta<__type>(__x, __y);
1321 }
1322
7c62b943
BK		 1323 inline float
1324 comp_ellint_1f(float __k)
1325 { return __detail::__comp_ellint_1<float>(__k); }
1326
1327 inline long double
1328 comp_ellint_1l(long double __k)
1329 { return __detail::__comp_ellint_1<long double>(__k); }
1330
939759fc 1331 /// 5.2.1.4 Complete elliptic integrals of the first kind.
7c62b943 1332 template<typename _Tp>
e133ace8 1333 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1334 comp_ellint_1(_Tp __k)
1335 {
e133ace8 1336 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1337 return __detail::__comp_ellint_1<__type>(__k);
1338 }
1339
7c62b943
BK		 1340 inline float
1341 comp_ellint_2f(float __k)
1342 { return __detail::__comp_ellint_2<float>(__k); }
1343
1344 inline long double
1345 comp_ellint_2l(long double __k)
1346 { return __detail::__comp_ellint_2<long double>(__k); }
1347
939759fc 1348 /// 5.2.1.5 Complete elliptic integrals of the second kind.
7c62b943 1349 template<typename _Tp>
e133ace8 1350 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1351 comp_ellint_2(_Tp __k)
1352 {
e133ace8 1353 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1354 return __detail::__comp_ellint_2<__type>(__k);
1355 }
1356
7c62b943
BK		 1357 inline float
1358 comp_ellint_3f(float __k, float __nu)
1359 { return __detail::__comp_ellint_3<float>(__k, __nu); }
1360
1361 inline long double
1362 comp_ellint_3l(long double __k, long double __nu)
1363 { return __detail::__comp_ellint_3<long double>(__k, __nu); }
1364
939759fc 1365 /// 5.2.1.6 Complete elliptic integrals of the third kind.
7c62b943 1366 template<typename _Tp, typename _Tpn>
e133ace8 1367 inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
7c62b943
BK		 1368 comp_ellint_3(_Tp __k, _Tpn __nu)
1369 {
e133ace8 1370 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
7c62b943
BK		 1371 return __detail::__comp_ellint_3<__type>(__k, __nu);
1372 }
1373
7c62b943
BK		 1374 inline float
1375 conf_hypergf(float __a, float __c, float __x)
1376 { return __detail::__conf_hyperg<float>(__a, __c, __x); }
1377
1378 inline long double
1379 conf_hypergl(long double __a, long double __c, long double __x)
1380 { return __detail::__conf_hyperg<long double>(__a, __c, __x); }
1381
939759fc 1382 /// 5.2.1.7 Confluent hypergeometric functions.
7c62b943 1383 template<typename _Tpa, typename _Tpc, typename _Tp>
e133ace8 1384 inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
7c62b943
BK		 1385 conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
1386 {
e133ace8 1387 typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
7c62b943
BK		 1388 return __detail::__conf_hyperg<__type>(__a, __c, __x);
1389 }
1390
7c62b943
BK		 1391 inline float
1392 cyl_bessel_if(float __nu, float __x)
1393 { return __detail::__cyl_bessel_i<float>(__nu, __x); }
1394
1395 inline long double
1396 cyl_bessel_il(long double __nu, long double __x)
1397 { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
1398
939759fc 1399 /// 5.2.1.8 Regular modified cylindrical Bessel functions.
7c62b943 1400 template<typename _Tpnu, typename _Tp>
e133ace8 1401 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
7c62b943
BK		 1402 cyl_bessel_i(_Tpnu __nu, _Tp __x)
1403 {
e133ace8 1404 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
7c62b943
BK		 1405 return __detail::__cyl_bessel_i<__type>(__nu, __x);
1406 }
1407
7c62b943
BK		 1408 inline float
1409 cyl_bessel_jf(float __nu, float __x)
1410 { return __detail::__cyl_bessel_j<float>(__nu, __x); }
1411
1412 inline long double
1413 cyl_bessel_jl(long double __nu, long double __x)
1414 { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
1415
939759fc 1416 /// 5.2.1.9 Cylindrical Bessel functions (of the first kind).
7c62b943 1417 template<typename _Tpnu, typename _Tp>
e133ace8 1418 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
7c62b943
BK		 1419 cyl_bessel_j(_Tpnu __nu, _Tp __x)
1420 {
e133ace8 1421 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
7c62b943
BK		 1422 return __detail::__cyl_bessel_j<__type>(__nu, __x);
1423 }
1424
7c62b943
BK		 1425 inline float
1426 cyl_bessel_kf(float __nu, float __x)
1427 { return __detail::__cyl_bessel_k<float>(__nu, __x); }
1428
1429 inline long double
1430 cyl_bessel_kl(long double __nu, long double __x)
1431 { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
1432
939759fc 1433 /// 5.2.1.10 Irregular modified cylindrical Bessel functions.
7c62b943 1434 template<typename _Tpnu, typename _Tp>
e133ace8 1435 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
7c62b943
BK		 1436 cyl_bessel_k(_Tpnu __nu, _Tp __x)
1437 {
e133ace8 1438 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
7c62b943
BK		 1439 return __detail::__cyl_bessel_k<__type>(__nu, __x);
1440 }
1441
7c62b943
BK		 1442 inline float
1443 cyl_neumannf(float __nu, float __x)
1444 { return __detail::__cyl_neumann_n<float>(__nu, __x); }
1445
1446 inline long double
1447 cyl_neumannl(long double __nu, long double __x)
1448 { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
1449
939759fc 1450 /// 5.2.1.11 Cylindrical Neumann functions.
7c62b943 1451 template<typename _Tpnu, typename _Tp>
e133ace8 1452 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
7c62b943
BK		 1453 cyl_neumann(_Tpnu __nu, _Tp __x)
1454 {
e133ace8 1455 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
7c62b943
BK		 1456 return __detail::__cyl_neumann_n<__type>(__nu, __x);
1457 }
1458
7c62b943
BK		 1459 inline float
1460 ellint_1f(float __k, float __phi)
1461 { return __detail::__ellint_1<float>(__k, __phi); }
1462
1463 inline long double
1464 ellint_1l(long double __k, long double __phi)
1465 { return __detail::__ellint_1<long double>(__k, __phi); }
1466
939759fc 1467 /// 5.2.1.12 Incomplete elliptic integrals of the first kind.
7c62b943 1468 template<typename _Tp, typename _Tpp>
e133ace8 1469 inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
7c62b943
BK		 1470 ellint_1(_Tp __k, _Tpp __phi)
1471 {
e133ace8 1472 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
7c62b943
BK		 1473 return __detail::__ellint_1<__type>(__k, __phi);
1474 }
1475
7c62b943
BK		 1476 inline float
1477 ellint_2f(float __k, float __phi)
1478 { return __detail::__ellint_2<float>(__k, __phi); }
1479
1480 inline long double
1481 ellint_2l(long double __k, long double __phi)
1482 { return __detail::__ellint_2<long double>(__k, __phi); }
1483
939759fc 1484 /// 5.2.1.13 Incomplete elliptic integrals of the second kind.
7c62b943 1485 template<typename _Tp, typename _Tpp>
e133ace8 1486 inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
7c62b943
BK		 1487 ellint_2(_Tp __k, _Tpp __phi)
1488 {
e133ace8 1489 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
7c62b943
BK		 1490 return __detail::__ellint_2<__type>(__k, __phi);
1491 }
1492
7c62b943
BK		 1493 inline float
1494 ellint_3f(float __k, float __nu, float __phi)
1495 { return __detail::__ellint_3<float>(__k, __nu, __phi); }
1496
1497 inline long double
1498 ellint_3l(long double __k, long double __nu, long double __phi)
1499 { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
1500
939759fc 1501 /// 5.2.1.14 Incomplete elliptic integrals of the third kind.
7c62b943 1502 template<typename _Tp, typename _Tpn, typename _Tpp>
e133ace8 1503 inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
7c62b943
BK		 1504 ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
1505 {
e133ace8 1506 typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
7c62b943
BK		 1507 return __detail::__ellint_3<__type>(__k, __nu, __phi);
1508 }
1509
7c62b943
BK		 1510 inline float
1511 expintf(float __x)
1512 { return __detail::__expint<float>(__x); }
1513
1514 inline long double
1515 expintl(long double __x)
1516 { return __detail::__expint<long double>(__x); }
1517
939759fc 1518 /// 5.2.1.15 Exponential integrals.
7c62b943 1519 template<typename _Tp>
e133ace8 1520 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1521 expint(_Tp __x)
1522 {
e133ace8 1523 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1524 return __detail::__expint<__type>(__x);
1525 }
1526
7c62b943
BK		 1527 inline float
1528 hermitef(unsigned int __n, float __x)
1529 { return __detail::__poly_hermite<float>(__n, __x); }
1530
1531 inline long double
1532 hermitel(unsigned int __n, long double __x)
1533 { return __detail::__poly_hermite<long double>(__n, __x); }
1534
939759fc 1535 /// 5.2.1.16 Hermite polynomials.
7c62b943 1536 template<typename _Tp>
e133ace8 1537 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1538 hermite(unsigned int __n, _Tp __x)
1539 {
e133ace8 1540 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1541 return __detail::__poly_hermite<__type>(__n, __x);
1542 }
1543
7c62b943
BK		 1544 inline float
1545 hypergf(float __a, float __b, float __c, float __x)
1546 { return __detail::__hyperg<float>(__a, __b, __c, __x); }
1547
1548 inline long double
1549 hypergl(long double __a, long double __b, long double __c, long double __x)
1550 { return __detail::__hyperg<long double>(__a, __b, __c, __x); }
1551
939759fc 1552 /// 5.2.1.17 Hypergeometric functions.
7c62b943 1553 template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
e133ace8 1554 inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
7c62b943
BK		 1555 hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
1556 {
e133ace8 1557 typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
7c62b943
BK		 1558 return __detail::__hyperg<__type>(__a, __b, __c, __x);
1559 }
1560
7c62b943
BK		 1561 inline float
1562 laguerref(unsigned int __n, float __x)
1563 { return __detail::__laguerre<float>(__n, __x); }
1564
1565 inline long double
1566 laguerrel(unsigned int __n, long double __x)
1567 { return __detail::__laguerre<long double>(__n, __x); }
1568
939759fc 1569 /// 5.2.1.18 Laguerre polynomials.
7c62b943 1570 template<typename _Tp>
e133ace8 1571 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1572 laguerre(unsigned int __n, _Tp __x)
1573 {
e133ace8 1574 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1575 return __detail::__laguerre<__type>(__n, __x);
1576 }
1577
7c62b943
BK		 1578 inline float
1579 legendref(unsigned int __n, float __x)
1580 { return __detail::__poly_legendre_p<float>(__n, __x); }
1581
1582 inline long double
1583 legendrel(unsigned int __n, long double __x)
1584 { return __detail::__poly_legendre_p<long double>(__n, __x); }
1585
939759fc 1586 /// 5.2.1.19 Legendre polynomials.
7c62b943 1587 template<typename _Tp>
e133ace8 1588 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1589 legendre(unsigned int __n, _Tp __x)
1590 {
e133ace8 1591 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1592 return __detail::__poly_legendre_p<__type>(__n, __x);
1593 }
1594
7c62b943
BK		 1595 inline float
1596 riemann_zetaf(float __x)
1597 { return __detail::__riemann_zeta<float>(__x); }
1598
1599 inline long double
1600 riemann_zetal(long double __x)
1601 { return __detail::__riemann_zeta<long double>(__x); }
1602
939759fc 1603 /// 5.2.1.20 Riemann zeta function.
7c62b943 1604 template<typename _Tp>
e133ace8 1605 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1606 riemann_zeta(_Tp __x)
1607 {
e133ace8 1608 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1609 return __detail::__riemann_zeta<__type>(__x);
1610 }
1611
7c62b943
BK		 1612 inline float
1613 sph_besself(unsigned int __n, float __x)
1614 { return __detail::__sph_bessel<float>(__n, __x); }
1615
1616 inline long double
1617 sph_bessell(unsigned int __n, long double __x)
1618 { return __detail::__sph_bessel<long double>(__n, __x); }
1619
939759fc 1620 /// 5.2.1.21 Spherical Bessel functions.
7c62b943 1621 template<typename _Tp>
e133ace8 1622 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1623 sph_bessel(unsigned int __n, _Tp __x)
1624 {
e133ace8 1625 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1626 return __detail::__sph_bessel<__type>(__n, __x);
1627 }
1628
7c62b943
BK		 1629 inline float
1630 sph_legendref(unsigned int __l, unsigned int __m, float __theta)
1631 { return __detail::__sph_legendre<float>(__l, __m, __theta); }
1632
1633 inline long double
1634 sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
1635 { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
1636
939759fc 1637 /// 5.2.1.22 Spherical associated Legendre functions.
7c62b943 1638 template<typename _Tp>
e133ace8 1639 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1640 sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
1641 {
e133ace8 1642 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1643 return __detail::__sph_legendre<__type>(__l, __m, __theta);
1644 }
1645
7c62b943
BK		 1646 inline float
1647 sph_neumannf(unsigned int __n, float __x)
1648 { return __detail::__sph_neumann<float>(__n, __x); }
1649
1650 inline long double
1651 sph_neumannl(unsigned int __n, long double __x)
1652 { return __detail::__sph_neumann<long double>(__n, __x); }
1653
939759fc 1654 /// 5.2.1.23 Spherical Neumann functions.
7c62b943 1655 template<typename _Tp>
e133ace8 1656 inline typename __gnu_cxx::__promote<_Tp>::__type
7c62b943
BK		 1657 sph_neumann(unsigned int __n, _Tp __x)
1658 {
e133ace8 1659 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
7c62b943
BK		 1660 return __detail::__sph_neumann<__type>(__n, __x);
1661 }
1662
939759fc 1663 /* @} */ // tr1_math_spec_func
f8571e51 1664#endif // _GLIBCXX_USE_STD_SPEC_FUNCS
1e41a98c 1665
4a15d842
FD		 1666} // namespace tr1
1667
1668_GLIBCXX_END_NAMESPACE_VERSION
1669} // namespace std
1670
e133ace8 1671#endif // _GLIBCXX_TR1_CMATH
Mirror of https://gcc.gnu.org/git/gcc.git