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00030 #ifndef _GLIBCXX_TR1_CMATH
00031 #define _GLIBCXX_TR1_CMATH 1
00032
00033 #pragma GCC system_header
00034
00035 #include <cmath>
00036
00037 #ifdef _GLIBCXX_USE_C99_MATH_TR1
00038
00039 #undef acosh
00040 #undef acoshf
00041 #undef acoshl
00042 #undef asinh
00043 #undef asinhf
00044 #undef asinhl
00045 #undef atanh
00046 #undef atanhf
00047 #undef atanhl
00048 #undef cbrt
00049 #undef cbrtf
00050 #undef cbrtl
00051 #undef copysign
00052 #undef copysignf
00053 #undef copysignl
00054 #undef erf
00055 #undef erff
00056 #undef erfl
00057 #undef erfc
00058 #undef erfcf
00059 #undef erfcl
00060 #undef exp2
00061 #undef exp2f
00062 #undef exp2l
00063 #undef expm1
00064 #undef expm1f
00065 #undef expm1l
00066 #undef fdim
00067 #undef fdimf
00068 #undef fdiml
00069 #undef fma
00070 #undef fmaf
00071 #undef fmal
00072 #undef fmax
00073 #undef fmaxf
00074 #undef fmaxl
00075 #undef fmin
00076 #undef fminf
00077 #undef fminl
00078 #undef hypot
00079 #undef hypotf
00080 #undef hypotl
00081 #undef ilogb
00082 #undef ilogbf
00083 #undef ilogbl
00084 #undef lgamma
00085 #undef lgammaf
00086 #undef lgammal
00087 #undef llrint
00088 #undef llrintf
00089 #undef llrintl
00090 #undef llround
00091 #undef llroundf
00092 #undef llroundl
00093 #undef log1p
00094 #undef log1pf
00095 #undef log1pl
00096 #undef log2
00097 #undef log2f
00098 #undef log2l
00099 #undef logb
00100 #undef logbf
00101 #undef logbl
00102 #undef lrint
00103 #undef lrintf
00104 #undef lrintl
00105 #undef lround
00106 #undef lroundf
00107 #undef lroundl
00108 #undef nan
00109 #undef nanf
00110 #undef nanl
00111 #undef nearbyint
00112 #undef nearbyintf
00113 #undef nearbyintl
00114 #undef nextafter
00115 #undef nextafterf
00116 #undef nextafterl
00117 #undef nexttoward
00118 #undef nexttowardf
00119 #undef nexttowardl
00120 #undef remainder
00121 #undef remainderf
00122 #undef remainderl
00123 #undef remquo
00124 #undef remquof
00125 #undef remquol
00126 #undef rint
00127 #undef rintf
00128 #undef rintl
00129 #undef round
00130 #undef roundf
00131 #undef roundl
00132 #undef scalbln
00133 #undef scalblnf
00134 #undef scalblnl
00135 #undef scalbn
00136 #undef scalbnf
00137 #undef scalbnl
00138 #undef tgamma
00139 #undef tgammaf
00140 #undef tgammal
00141 #undef trunc
00142 #undef truncf
00143 #undef truncl
00144
00145 #endif
00146
00147 namespace std _GLIBCXX_VISIBILITY(default)
00148 {
00149 namespace tr1
00150 {
00151 _GLIBCXX_BEGIN_NAMESPACE_VERSION
00152
00153 #if _GLIBCXX_USE_C99_MATH_TR1
00154
00155
00156 using ::double_t;
00157 using ::float_t;
00158
00159
00160 using ::acosh;
00161 using ::acoshf;
00162 using ::acoshl;
00163
00164 using ::asinh;
00165 using ::asinhf;
00166 using ::asinhl;
00167
00168 using ::atanh;
00169 using ::atanhf;
00170 using ::atanhl;
00171
00172 using ::cbrt;
00173 using ::cbrtf;
00174 using ::cbrtl;
00175
00176 using ::copysign;
00177 using ::copysignf;
00178 using ::copysignl;
00179
00180 using ::erf;
00181 using ::erff;
00182 using ::erfl;
00183
00184 using ::erfc;
00185 using ::erfcf;
00186 using ::erfcl;
00187
00188 using ::exp2;
00189 using ::exp2f;
00190 using ::exp2l;
00191
00192 using ::expm1;
00193 using ::expm1f;
00194 using ::expm1l;
00195
00196 using ::fdim;
00197 using ::fdimf;
00198 using ::fdiml;
00199
00200 using ::fma;
00201 using ::fmaf;
00202 using ::fmal;
00203
00204 using ::fmax;
00205 using ::fmaxf;
00206 using ::fmaxl;
00207
00208 using ::fmin;
00209 using ::fminf;
00210 using ::fminl;
00211
00212 using ::hypot;
00213 using ::hypotf;
00214 using ::hypotl;
00215
00216 using ::ilogb;
00217 using ::ilogbf;
00218 using ::ilogbl;
00219
00220 using ::lgamma;
00221 using ::lgammaf;
00222 using ::lgammal;
00223
00224 using ::llrint;
00225 using ::llrintf;
00226 using ::llrintl;
00227
00228 using ::llround;
00229 using ::llroundf;
00230 using ::llroundl;
00231
00232 using ::log1p;
00233 using ::log1pf;
00234 using ::log1pl;
00235
00236 using ::log2;
00237 using ::log2f;
00238 using ::log2l;
00239
00240 using ::logb;
00241 using ::logbf;
00242 using ::logbl;
00243
00244 using ::lrint;
00245 using ::lrintf;
00246 using ::lrintl;
00247
00248 using ::lround;
00249 using ::lroundf;
00250 using ::lroundl;
00251
00252 using ::nan;
00253 using ::nanf;
00254 using ::nanl;
00255
00256 using ::nearbyint;
00257 using ::nearbyintf;
00258 using ::nearbyintl;
00259
00260 using ::nextafter;
00261 using ::nextafterf;
00262 using ::nextafterl;
00263
00264 using ::nexttoward;
00265 using ::nexttowardf;
00266 using ::nexttowardl;
00267
00268 using ::remainder;
00269 using ::remainderf;
00270 using ::remainderl;
00271
00272 using ::remquo;
00273 using ::remquof;
00274 using ::remquol;
00275
00276 using ::rint;
00277 using ::rintf;
00278 using ::rintl;
00279
00280 using ::round;
00281 using ::roundf;
00282 using ::roundl;
00283
00284 using ::scalbln;
00285 using ::scalblnf;
00286 using ::scalblnl;
00287
00288 using ::scalbn;
00289 using ::scalbnf;
00290 using ::scalbnl;
00291
00292 using ::tgamma;
00293 using ::tgammaf;
00294 using ::tgammal;
00295
00296 using ::trunc;
00297 using ::truncf;
00298 using ::truncl;
00299
00300 #endif
00301
00302 #if _GLIBCXX_USE_C99_MATH
00303 #if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
00304
00305
00306 template<typename _Tp>
00307 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00308 int>::__type
00309 fpclassify(_Tp __f)
00310 {
00311 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00312 return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
00313 FP_SUBNORMAL, FP_ZERO, __type(__f));
00314 }
00315
00316 template<typename _Tp>
00317 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00318 int>::__type
00319 isfinite(_Tp __f)
00320 {
00321 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00322 return __builtin_isfinite(__type(__f));
00323 }
00324
00325 template<typename _Tp>
00326 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00327 int>::__type
00328 isinf(_Tp __f)
00329 {
00330 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00331 return __builtin_isinf(__type(__f));
00332 }
00333
00334 template<typename _Tp>
00335 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00336 int>::__type
00337 isnan(_Tp __f)
00338 {
00339 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00340 return __builtin_isnan(__type(__f));
00341 }
00342
00343 template<typename _Tp>
00344 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00345 int>::__type
00346 isnormal(_Tp __f)
00347 {
00348 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00349 return __builtin_isnormal(__type(__f));
00350 }
00351
00352 template<typename _Tp>
00353 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00354 int>::__type
00355 signbit(_Tp __f)
00356 {
00357 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00358 return __builtin_signbit(__type(__f));
00359 }
00360
00361 template<typename _Tp>
00362 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00363 int>::__type
00364 isgreater(_Tp __f1, _Tp __f2)
00365 {
00366 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00367 return __builtin_isgreater(__type(__f1), __type(__f2));
00368 }
00369
00370 template<typename _Tp>
00371 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00372 int>::__type
00373 isgreaterequal(_Tp __f1, _Tp __f2)
00374 {
00375 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00376 return __builtin_isgreaterequal(__type(__f1), __type(__f2));
00377 }
00378
00379 template<typename _Tp>
00380 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00381 int>::__type
00382 isless(_Tp __f1, _Tp __f2)
00383 {
00384 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00385 return __builtin_isless(__type(__f1), __type(__f2));
00386 }
00387
00388 template<typename _Tp>
00389 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00390 int>::__type
00391 islessequal(_Tp __f1, _Tp __f2)
00392 {
00393 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00394 return __builtin_islessequal(__type(__f1), __type(__f2));
00395 }
00396
00397 template<typename _Tp>
00398 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00399 int>::__type
00400 islessgreater(_Tp __f1, _Tp __f2)
00401 {
00402 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00403 return __builtin_islessgreater(__type(__f1), __type(__f2));
00404 }
00405
00406 template<typename _Tp>
00407 inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
00408 int>::__type
00409 isunordered(_Tp __f1, _Tp __f2)
00410 {
00411 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00412 return __builtin_isunordered(__type(__f1), __type(__f2));
00413 }
00414
00415 #endif
00416 #endif
00417
00418 #if _GLIBCXX_USE_C99_MATH_TR1
00419
00420
00421 using std::acos;
00422
00423 inline float
00424 acosh(float __x)
00425 { return __builtin_acoshf(__x); }
00426
00427 inline long double
00428 acosh(long double __x)
00429 { return __builtin_acoshl(__x); }
00430
00431 template<typename _Tp>
00432 inline typename __gnu_cxx::__promote<_Tp>::__type
00433 acosh(_Tp __x)
00434 {
00435 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00436 return acosh(__type(__x));
00437 }
00438
00439 using std::asin;
00440
00441 inline float
00442 asinh(float __x)
00443 { return __builtin_asinhf(__x); }
00444
00445 inline long double
00446 asinh(long double __x)
00447 { return __builtin_asinhl(__x); }
00448
00449 template<typename _Tp>
00450 inline typename __gnu_cxx::__promote<_Tp>::__type
00451 asinh(_Tp __x)
00452 {
00453 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00454 return asinh(__type(__x));
00455 }
00456
00457 using std::atan;
00458 using std::atan2;
00459
00460 inline float
00461 atanh(float __x)
00462 { return __builtin_atanhf(__x); }
00463
00464 inline long double
00465 atanh(long double __x)
00466 { return __builtin_atanhl(__x); }
00467
00468 template<typename _Tp>
00469 inline typename __gnu_cxx::__promote<_Tp>::__type
00470 atanh(_Tp __x)
00471 {
00472 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00473 return atanh(__type(__x));
00474 }
00475
00476 inline float
00477 cbrt(float __x)
00478 { return __builtin_cbrtf(__x); }
00479
00480 inline long double
00481 cbrt(long double __x)
00482 { return __builtin_cbrtl(__x); }
00483
00484 template<typename _Tp>
00485 inline typename __gnu_cxx::__promote<_Tp>::__type
00486 cbrt(_Tp __x)
00487 {
00488 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00489 return cbrt(__type(__x));
00490 }
00491
00492 using std::ceil;
00493
00494 inline float
00495 copysign(float __x, float __y)
00496 { return __builtin_copysignf(__x, __y); }
00497
00498 inline long double
00499 copysign(long double __x, long double __y)
00500 { return __builtin_copysignl(__x, __y); }
00501
00502 template<typename _Tp, typename _Up>
00503 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00504 copysign(_Tp __x, _Up __y)
00505 {
00506 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00507 return copysign(__type(__x), __type(__y));
00508 }
00509
00510 using std::cos;
00511 using std::cosh;
00512
00513 inline float
00514 erf(float __x)
00515 { return __builtin_erff(__x); }
00516
00517 inline long double
00518 erf(long double __x)
00519 { return __builtin_erfl(__x); }
00520
00521 template<typename _Tp>
00522 inline typename __gnu_cxx::__promote<_Tp>::__type
00523 erf(_Tp __x)
00524 {
00525 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00526 return erf(__type(__x));
00527 }
00528
00529 inline float
00530 erfc(float __x)
00531 { return __builtin_erfcf(__x); }
00532
00533 inline long double
00534 erfc(long double __x)
00535 { return __builtin_erfcl(__x); }
00536
00537 template<typename _Tp>
00538 inline typename __gnu_cxx::__promote<_Tp>::__type
00539 erfc(_Tp __x)
00540 {
00541 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00542 return erfc(__type(__x));
00543 }
00544
00545 using std::exp;
00546
00547 inline float
00548 exp2(float __x)
00549 { return __builtin_exp2f(__x); }
00550
00551 inline long double
00552 exp2(long double __x)
00553 { return __builtin_exp2l(__x); }
00554
00555 template<typename _Tp>
00556 inline typename __gnu_cxx::__promote<_Tp>::__type
00557 exp2(_Tp __x)
00558 {
00559 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00560 return exp2(__type(__x));
00561 }
00562
00563 inline float
00564 expm1(float __x)
00565 { return __builtin_expm1f(__x); }
00566
00567 inline long double
00568 expm1(long double __x)
00569 { return __builtin_expm1l(__x); }
00570
00571 template<typename _Tp>
00572 inline typename __gnu_cxx::__promote<_Tp>::__type
00573 expm1(_Tp __x)
00574 {
00575 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00576 return expm1(__type(__x));
00577 }
00578
00579
00580
00581
00582 using ::fabs;
00583
00584 inline float
00585 fabs(float __x)
00586 { return __builtin_fabsf(__x); }
00587
00588 inline long double
00589 fabs(long double __x)
00590 { return __builtin_fabsl(__x); }
00591
00592 template<typename _Tp>
00593 inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
00594 double>::__type
00595 fabs(_Tp __x)
00596 { return __builtin_fabs(__x); }
00597
00598 inline float
00599 fdim(float __x, float __y)
00600 { return __builtin_fdimf(__x, __y); }
00601
00602 inline long double
00603 fdim(long double __x, long double __y)
00604 { return __builtin_fdiml(__x, __y); }
00605
00606 template<typename _Tp, typename _Up>
00607 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00608 fdim(_Tp __x, _Up __y)
00609 {
00610 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00611 return fdim(__type(__x), __type(__y));
00612 }
00613
00614 using std::floor;
00615
00616 inline float
00617 fma(float __x, float __y, float __z)
00618 { return __builtin_fmaf(__x, __y, __z); }
00619
00620 inline long double
00621 fma(long double __x, long double __y, long double __z)
00622 { return __builtin_fmal(__x, __y, __z); }
00623
00624 template<typename _Tp, typename _Up, typename _Vp>
00625 inline typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
00626 fma(_Tp __x, _Up __y, _Vp __z)
00627 {
00628 typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
00629 return fma(__type(__x), __type(__y), __type(__z));
00630 }
00631
00632 inline float
00633 fmax(float __x, float __y)
00634 { return __builtin_fmaxf(__x, __y); }
00635
00636 inline long double
00637 fmax(long double __x, long double __y)
00638 { return __builtin_fmaxl(__x, __y); }
00639
00640 template<typename _Tp, typename _Up>
00641 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00642 fmax(_Tp __x, _Up __y)
00643 {
00644 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00645 return fmax(__type(__x), __type(__y));
00646 }
00647
00648 inline float
00649 fmin(float __x, float __y)
00650 { return __builtin_fminf(__x, __y); }
00651
00652 inline long double
00653 fmin(long double __x, long double __y)
00654 { return __builtin_fminl(__x, __y); }
00655
00656 template<typename _Tp, typename _Up>
00657 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00658 fmin(_Tp __x, _Up __y)
00659 {
00660 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00661 return fmin(__type(__x), __type(__y));
00662 }
00663
00664 using std::fmod;
00665 using std::frexp;
00666
00667 inline float
00668 hypot(float __x, float __y)
00669 { return __builtin_hypotf(__x, __y); }
00670
00671 inline long double
00672 hypot(long double __x, long double __y)
00673 { return __builtin_hypotl(__x, __y); }
00674
00675 template<typename _Tp, typename _Up>
00676 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00677 hypot(_Tp __x, _Up __y)
00678 {
00679 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00680 return hypot(__type(__x), __type(__y));
00681 }
00682
00683 inline int
00684 ilogb(float __x)
00685 { return __builtin_ilogbf(__x); }
00686
00687 inline int
00688 ilogb(long double __x)
00689 { return __builtin_ilogbl(__x); }
00690
00691 template<typename _Tp>
00692 inline int
00693 ilogb(_Tp __x)
00694 {
00695 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00696 return ilogb(__type(__x));
00697 }
00698
00699 using std::ldexp;
00700
00701 inline float
00702 lgamma(float __x)
00703 { return __builtin_lgammaf(__x); }
00704
00705 inline long double
00706 lgamma(long double __x)
00707 { return __builtin_lgammal(__x); }
00708
00709 template<typename _Tp>
00710 inline typename __gnu_cxx::__promote<_Tp>::__type
00711 lgamma(_Tp __x)
00712 {
00713 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00714 return lgamma(__type(__x));
00715 }
00716
00717 inline long long
00718 llrint(float __x)
00719 { return __builtin_llrintf(__x); }
00720
00721 inline long long
00722 llrint(long double __x)
00723 { return __builtin_llrintl(__x); }
00724
00725 template<typename _Tp>
00726 inline long long
00727 llrint(_Tp __x)
00728 {
00729 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00730 return llrint(__type(__x));
00731 }
00732
00733 inline long long
00734 llround(float __x)
00735 { return __builtin_llroundf(__x); }
00736
00737 inline long long
00738 llround(long double __x)
00739 { return __builtin_llroundl(__x); }
00740
00741 template<typename _Tp>
00742 inline long long
00743 llround(_Tp __x)
00744 {
00745 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00746 return llround(__type(__x));
00747 }
00748
00749 using std::log;
00750 using std::log10;
00751
00752 inline float
00753 log1p(float __x)
00754 { return __builtin_log1pf(__x); }
00755
00756 inline long double
00757 log1p(long double __x)
00758 { return __builtin_log1pl(__x); }
00759
00760 template<typename _Tp>
00761 inline typename __gnu_cxx::__promote<_Tp>::__type
00762 log1p(_Tp __x)
00763 {
00764 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00765 return log1p(__type(__x));
00766 }
00767
00768
00769 inline float
00770 log2(float __x)
00771 { return __builtin_log2f(__x); }
00772
00773 inline long double
00774 log2(long double __x)
00775 { return __builtin_log2l(__x); }
00776
00777 template<typename _Tp>
00778 inline typename __gnu_cxx::__promote<_Tp>::__type
00779 log2(_Tp __x)
00780 {
00781 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00782 return log2(__type(__x));
00783 }
00784
00785 inline float
00786 logb(float __x)
00787 { return __builtin_logbf(__x); }
00788
00789 inline long double
00790 logb(long double __x)
00791 { return __builtin_logbl(__x); }
00792
00793 template<typename _Tp>
00794 inline typename __gnu_cxx::__promote<_Tp>::__type
00795 logb(_Tp __x)
00796 {
00797 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00798 return logb(__type(__x));
00799 }
00800
00801 inline long
00802 lrint(float __x)
00803 { return __builtin_lrintf(__x); }
00804
00805 inline long
00806 lrint(long double __x)
00807 { return __builtin_lrintl(__x); }
00808
00809 template<typename _Tp>
00810 inline long
00811 lrint(_Tp __x)
00812 {
00813 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00814 return lrint(__type(__x));
00815 }
00816
00817 inline long
00818 lround(float __x)
00819 { return __builtin_lroundf(__x); }
00820
00821 inline long
00822 lround(long double __x)
00823 { return __builtin_lroundl(__x); }
00824
00825 template<typename _Tp>
00826 inline long
00827 lround(_Tp __x)
00828 {
00829 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00830 return lround(__type(__x));
00831 }
00832
00833 inline float
00834 nearbyint(float __x)
00835 { return __builtin_nearbyintf(__x); }
00836
00837 inline long double
00838 nearbyint(long double __x)
00839 { return __builtin_nearbyintl(__x); }
00840
00841 template<typename _Tp>
00842 inline typename __gnu_cxx::__promote<_Tp>::__type
00843 nearbyint(_Tp __x)
00844 {
00845 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00846 return nearbyint(__type(__x));
00847 }
00848
00849 inline float
00850 nextafter(float __x, float __y)
00851 { return __builtin_nextafterf(__x, __y); }
00852
00853 inline long double
00854 nextafter(long double __x, long double __y)
00855 { return __builtin_nextafterl(__x, __y); }
00856
00857 template<typename _Tp, typename _Up>
00858 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00859 nextafter(_Tp __x, _Up __y)
00860 {
00861 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00862 return nextafter(__type(__x), __type(__y));
00863 }
00864
00865 inline float
00866 nexttoward(float __x, long double __y)
00867 { return __builtin_nexttowardf(__x, __y); }
00868
00869 inline long double
00870 nexttoward(long double __x, long double __y)
00871 { return __builtin_nexttowardl(__x, __y); }
00872
00873 template<typename _Tp>
00874 inline typename __gnu_cxx::__promote<_Tp>::__type
00875 nexttoward(_Tp __x, long double __y)
00876 {
00877 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00878 return nexttoward(__type(__x), __y);
00879 }
00880
00881
00882
00883
00884
00885 inline float
00886 remainder(float __x, float __y)
00887 { return __builtin_remainderf(__x, __y); }
00888
00889 inline long double
00890 remainder(long double __x, long double __y)
00891 { return __builtin_remainderl(__x, __y); }
00892
00893 template<typename _Tp, typename _Up>
00894 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00895 remainder(_Tp __x, _Up __y)
00896 {
00897 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00898 return remainder(__type(__x), __type(__y));
00899 }
00900
00901 inline float
00902 remquo(float __x, float __y, int* __pquo)
00903 { return __builtin_remquof(__x, __y, __pquo); }
00904
00905 inline long double
00906 remquo(long double __x, long double __y, int* __pquo)
00907 { return __builtin_remquol(__x, __y, __pquo); }
00908
00909 template<typename _Tp, typename _Up>
00910 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
00911 remquo(_Tp __x, _Up __y, int* __pquo)
00912 {
00913 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
00914 return remquo(__type(__x), __type(__y), __pquo);
00915 }
00916
00917 inline float
00918 rint(float __x)
00919 { return __builtin_rintf(__x); }
00920
00921 inline long double
00922 rint(long double __x)
00923 { return __builtin_rintl(__x); }
00924
00925 template<typename _Tp>
00926 inline typename __gnu_cxx::__promote<_Tp>::__type
00927 rint(_Tp __x)
00928 {
00929 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00930 return rint(__type(__x));
00931 }
00932
00933 inline float
00934 round(float __x)
00935 { return __builtin_roundf(__x); }
00936
00937 inline long double
00938 round(long double __x)
00939 { return __builtin_roundl(__x); }
00940
00941 template<typename _Tp>
00942 inline typename __gnu_cxx::__promote<_Tp>::__type
00943 round(_Tp __x)
00944 {
00945 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00946 return round(__type(__x));
00947 }
00948
00949 inline float
00950 scalbln(float __x, long __ex)
00951 { return __builtin_scalblnf(__x, __ex); }
00952
00953 inline long double
00954 scalbln(long double __x, long __ex)
00955 { return __builtin_scalblnl(__x, __ex); }
00956
00957 template<typename _Tp>
00958 inline typename __gnu_cxx::__promote<_Tp>::__type
00959 scalbln(_Tp __x, long __ex)
00960 {
00961 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00962 return scalbln(__type(__x), __ex);
00963 }
00964
00965 inline float
00966 scalbn(float __x, int __ex)
00967 { return __builtin_scalbnf(__x, __ex); }
00968
00969 inline long double
00970 scalbn(long double __x, int __ex)
00971 { return __builtin_scalbnl(__x, __ex); }
00972
00973 template<typename _Tp>
00974 inline typename __gnu_cxx::__promote<_Tp>::__type
00975 scalbn(_Tp __x, int __ex)
00976 {
00977 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
00978 return scalbn(__type(__x), __ex);
00979 }
00980
00981 using std::sin;
00982 using std::sinh;
00983 using std::sqrt;
00984 using std::tan;
00985 using std::tanh;
00986
00987 inline float
00988 tgamma(float __x)
00989 { return __builtin_tgammaf(__x); }
00990
00991 inline long double
00992 tgamma(long double __x)
00993 { return __builtin_tgammal(__x); }
00994
00995 template<typename _Tp>
00996 inline typename __gnu_cxx::__promote<_Tp>::__type
00997 tgamma(_Tp __x)
00998 {
00999 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01000 return tgamma(__type(__x));
01001 }
01002
01003 inline float
01004 trunc(float __x)
01005 { return __builtin_truncf(__x); }
01006
01007 inline long double
01008 trunc(long double __x)
01009 { return __builtin_truncl(__x); }
01010
01011 template<typename _Tp>
01012 inline typename __gnu_cxx::__promote<_Tp>::__type
01013 trunc(_Tp __x)
01014 {
01015 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01016 return trunc(__type(__x));
01017 }
01018
01019 #endif
01020 _GLIBCXX_END_NAMESPACE_VERSION
01021 }
01022 }
01023
01024 namespace std _GLIBCXX_VISIBILITY(default)
01025 {
01026 namespace tr1
01027 {
01028 _GLIBCXX_BEGIN_NAMESPACE_VERSION
01029
01030
01031
01032 inline double
01033 pow(double __x, double __y)
01034 { return std::pow(__x, __y); }
01035
01036 inline float
01037 pow(float __x, float __y)
01038 { return std::pow(__x, __y); }
01039
01040 inline long double
01041 pow(long double __x, long double __y)
01042 { return std::pow(__x, __y); }
01043
01044 template<typename _Tp, typename _Up>
01045 inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
01046 pow(_Tp __x, _Up __y)
01047 {
01048 typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
01049 return std::pow(__type(__x), __type(__y));
01050 }
01051
01052 _GLIBCXX_END_NAMESPACE_VERSION
01053 }
01054 }
01055
01056 #include <bits/stl_algobase.h>
01057 #include <limits>
01058 #include <tr1/type_traits>
01059
01060 #include <tr1/gamma.tcc>
01061 #include <tr1/bessel_function.tcc>
01062 #include <tr1/beta_function.tcc>
01063 #include <tr1/ell_integral.tcc>
01064 #include <tr1/exp_integral.tcc>
01065 #include <tr1/hypergeometric.tcc>
01066 #include <tr1/legendre_function.tcc>
01067 #include <tr1/modified_bessel_func.tcc>
01068 #include <tr1/poly_hermite.tcc>
01069 #include <tr1/poly_laguerre.tcc>
01070 #include <tr1/riemann_zeta.tcc>
01071
01072 namespace std _GLIBCXX_VISIBILITY(default)
01073 {
01074 namespace tr1
01075 {
01076 _GLIBCXX_BEGIN_NAMESPACE_VERSION
01077
01078
01079
01080
01081
01082
01083
01084
01085
01086 inline float
01087 assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
01088 { return __detail::__assoc_laguerre<float>(__n, __m, __x); }
01089
01090 inline long double
01091 assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
01092 {
01093 return __detail::__assoc_laguerre<long double>(__n, __m, __x);
01094 }
01095
01096
01097 template<typename _Tp>
01098 inline typename __gnu_cxx::__promote<_Tp>::__type
01099 assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
01100 {
01101 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01102 return __detail::__assoc_laguerre<__type>(__n, __m, __x);
01103 }
01104
01105 inline float
01106 assoc_legendref(unsigned int __l, unsigned int __m, float __x)
01107 { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }
01108
01109 inline long double
01110 assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
01111 { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
01112
01113
01114 template<typename _Tp>
01115 inline typename __gnu_cxx::__promote<_Tp>::__type
01116 assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
01117 {
01118 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01119 return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
01120 }
01121
01122 inline float
01123 betaf(float __x, float __y)
01124 { return __detail::__beta<float>(__x, __y); }
01125
01126 inline long double
01127 betal(long double __x, long double __y)
01128 { return __detail::__beta<long double>(__x, __y); }
01129
01130
01131 template<typename _Tpx, typename _Tpy>
01132 inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
01133 beta(_Tpx __x, _Tpy __y)
01134 {
01135 typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
01136 return __detail::__beta<__type>(__x, __y);
01137 }
01138
01139 inline float
01140 comp_ellint_1f(float __k)
01141 { return __detail::__comp_ellint_1<float>(__k); }
01142
01143 inline long double
01144 comp_ellint_1l(long double __k)
01145 { return __detail::__comp_ellint_1<long double>(__k); }
01146
01147
01148 template<typename _Tp>
01149 inline typename __gnu_cxx::__promote<_Tp>::__type
01150 comp_ellint_1(_Tp __k)
01151 {
01152 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01153 return __detail::__comp_ellint_1<__type>(__k);
01154 }
01155
01156 inline float
01157 comp_ellint_2f(float __k)
01158 { return __detail::__comp_ellint_2<float>(__k); }
01159
01160 inline long double
01161 comp_ellint_2l(long double __k)
01162 { return __detail::__comp_ellint_2<long double>(__k); }
01163
01164
01165 template<typename _Tp>
01166 inline typename __gnu_cxx::__promote<_Tp>::__type
01167 comp_ellint_2(_Tp __k)
01168 {
01169 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01170 return __detail::__comp_ellint_2<__type>(__k);
01171 }
01172
01173 inline float
01174 comp_ellint_3f(float __k, float __nu)
01175 { return __detail::__comp_ellint_3<float>(__k, __nu); }
01176
01177 inline long double
01178 comp_ellint_3l(long double __k, long double __nu)
01179 { return __detail::__comp_ellint_3<long double>(__k, __nu); }
01180
01181
01182 template<typename _Tp, typename _Tpn>
01183 inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
01184 comp_ellint_3(_Tp __k, _Tpn __nu)
01185 {
01186 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
01187 return __detail::__comp_ellint_3<__type>(__k, __nu);
01188 }
01189
01190 inline float
01191 conf_hypergf(float __a, float __c, float __x)
01192 { return __detail::__conf_hyperg<float>(__a, __c, __x); }
01193
01194 inline long double
01195 conf_hypergl(long double __a, long double __c, long double __x)
01196 { return __detail::__conf_hyperg<long double>(__a, __c, __x); }
01197
01198
01199 template<typename _Tpa, typename _Tpc, typename _Tp>
01200 inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
01201 conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
01202 {
01203 typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
01204 return __detail::__conf_hyperg<__type>(__a, __c, __x);
01205 }
01206
01207 inline float
01208 cyl_bessel_if(float __nu, float __x)
01209 { return __detail::__cyl_bessel_i<float>(__nu, __x); }
01210
01211 inline long double
01212 cyl_bessel_il(long double __nu, long double __x)
01213 { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
01214
01215
01216 template<typename _Tpnu, typename _Tp>
01217 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
01218 cyl_bessel_i(_Tpnu __nu, _Tp __x)
01219 {
01220 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
01221 return __detail::__cyl_bessel_i<__type>(__nu, __x);
01222 }
01223
01224 inline float
01225 cyl_bessel_jf(float __nu, float __x)
01226 { return __detail::__cyl_bessel_j<float>(__nu, __x); }
01227
01228 inline long double
01229 cyl_bessel_jl(long double __nu, long double __x)
01230 { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
01231
01232
01233 template<typename _Tpnu, typename _Tp>
01234 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
01235 cyl_bessel_j(_Tpnu __nu, _Tp __x)
01236 {
01237 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
01238 return __detail::__cyl_bessel_j<__type>(__nu, __x);
01239 }
01240
01241 inline float
01242 cyl_bessel_kf(float __nu, float __x)
01243 { return __detail::__cyl_bessel_k<float>(__nu, __x); }
01244
01245 inline long double
01246 cyl_bessel_kl(long double __nu, long double __x)
01247 { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
01248
01249
01250 template<typename _Tpnu, typename _Tp>
01251 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
01252 cyl_bessel_k(_Tpnu __nu, _Tp __x)
01253 {
01254 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
01255 return __detail::__cyl_bessel_k<__type>(__nu, __x);
01256 }
01257
01258 inline float
01259 cyl_neumannf(float __nu, float __x)
01260 { return __detail::__cyl_neumann_n<float>(__nu, __x); }
01261
01262 inline long double
01263 cyl_neumannl(long double __nu, long double __x)
01264 { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
01265
01266
01267 template<typename _Tpnu, typename _Tp>
01268 inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
01269 cyl_neumann(_Tpnu __nu, _Tp __x)
01270 {
01271 typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
01272 return __detail::__cyl_neumann_n<__type>(__nu, __x);
01273 }
01274
01275 inline float
01276 ellint_1f(float __k, float __phi)
01277 { return __detail::__ellint_1<float>(__k, __phi); }
01278
01279 inline long double
01280 ellint_1l(long double __k, long double __phi)
01281 { return __detail::__ellint_1<long double>(__k, __phi); }
01282
01283
01284 template<typename _Tp, typename _Tpp>
01285 inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
01286 ellint_1(_Tp __k, _Tpp __phi)
01287 {
01288 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
01289 return __detail::__ellint_1<__type>(__k, __phi);
01290 }
01291
01292 inline float
01293 ellint_2f(float __k, float __phi)
01294 { return __detail::__ellint_2<float>(__k, __phi); }
01295
01296 inline long double
01297 ellint_2l(long double __k, long double __phi)
01298 { return __detail::__ellint_2<long double>(__k, __phi); }
01299
01300
01301 template<typename _Tp, typename _Tpp>
01302 inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
01303 ellint_2(_Tp __k, _Tpp __phi)
01304 {
01305 typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
01306 return __detail::__ellint_2<__type>(__k, __phi);
01307 }
01308
01309 inline float
01310 ellint_3f(float __k, float __nu, float __phi)
01311 { return __detail::__ellint_3<float>(__k, __nu, __phi); }
01312
01313 inline long double
01314 ellint_3l(long double __k, long double __nu, long double __phi)
01315 { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
01316
01317
01318 template<typename _Tp, typename _Tpn, typename _Tpp>
01319 inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
01320 ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
01321 {
01322 typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
01323 return __detail::__ellint_3<__type>(__k, __nu, __phi);
01324 }
01325
01326 inline float
01327 expintf(float __x)
01328 { return __detail::__expint<float>(__x); }
01329
01330 inline long double
01331 expintl(long double __x)
01332 { return __detail::__expint<long double>(__x); }
01333
01334
01335 template<typename _Tp>
01336 inline typename __gnu_cxx::__promote<_Tp>::__type
01337 expint(_Tp __x)
01338 {
01339 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01340 return __detail::__expint<__type>(__x);
01341 }
01342
01343 inline float
01344 hermitef(unsigned int __n, float __x)
01345 { return __detail::__poly_hermite<float>(__n, __x); }
01346
01347 inline long double
01348 hermitel(unsigned int __n, long double __x)
01349 { return __detail::__poly_hermite<long double>(__n, __x); }
01350
01351
01352 template<typename _Tp>
01353 inline typename __gnu_cxx::__promote<_Tp>::__type
01354 hermite(unsigned int __n, _Tp __x)
01355 {
01356 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01357 return __detail::__poly_hermite<__type>(__n, __x);
01358 }
01359
01360 inline float
01361 hypergf(float __a, float __b, float __c, float __x)
01362 { return __detail::__hyperg<float>(__a, __b, __c, __x); }
01363
01364 inline long double
01365 hypergl(long double __a, long double __b, long double __c, long double __x)
01366 { return __detail::__hyperg<long double>(__a, __b, __c, __x); }
01367
01368
01369 template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
01370 inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
01371 hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
01372 {
01373 typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
01374 return __detail::__hyperg<__type>(__a, __b, __c, __x);
01375 }
01376
01377 inline float
01378 laguerref(unsigned int __n, float __x)
01379 { return __detail::__laguerre<float>(__n, __x); }
01380
01381 inline long double
01382 laguerrel(unsigned int __n, long double __x)
01383 { return __detail::__laguerre<long double>(__n, __x); }
01384
01385
01386 template<typename _Tp>
01387 inline typename __gnu_cxx::__promote<_Tp>::__type
01388 laguerre(unsigned int __n, _Tp __x)
01389 {
01390 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01391 return __detail::__laguerre<__type>(__n, __x);
01392 }
01393
01394 inline float
01395 legendref(unsigned int __n, float __x)
01396 { return __detail::__poly_legendre_p<float>(__n, __x); }
01397
01398 inline long double
01399 legendrel(unsigned int __n, long double __x)
01400 { return __detail::__poly_legendre_p<long double>(__n, __x); }
01401
01402
01403 template<typename _Tp>
01404 inline typename __gnu_cxx::__promote<_Tp>::__type
01405 legendre(unsigned int __n, _Tp __x)
01406 {
01407 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01408 return __detail::__poly_legendre_p<__type>(__n, __x);
01409 }
01410
01411 inline float
01412 riemann_zetaf(float __x)
01413 { return __detail::__riemann_zeta<float>(__x); }
01414
01415 inline long double
01416 riemann_zetal(long double __x)
01417 { return __detail::__riemann_zeta<long double>(__x); }
01418
01419
01420 template<typename _Tp>
01421 inline typename __gnu_cxx::__promote<_Tp>::__type
01422 riemann_zeta(_Tp __x)
01423 {
01424 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01425 return __detail::__riemann_zeta<__type>(__x);
01426 }
01427
01428 inline float
01429 sph_besself(unsigned int __n, float __x)
01430 { return __detail::__sph_bessel<float>(__n, __x); }
01431
01432 inline long double
01433 sph_bessell(unsigned int __n, long double __x)
01434 { return __detail::__sph_bessel<long double>(__n, __x); }
01435
01436
01437 template<typename _Tp>
01438 inline typename __gnu_cxx::__promote<_Tp>::__type
01439 sph_bessel(unsigned int __n, _Tp __x)
01440 {
01441 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01442 return __detail::__sph_bessel<__type>(__n, __x);
01443 }
01444
01445 inline float
01446 sph_legendref(unsigned int __l, unsigned int __m, float __theta)
01447 { return __detail::__sph_legendre<float>(__l, __m, __theta); }
01448
01449 inline long double
01450 sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
01451 { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
01452
01453
01454 template<typename _Tp>
01455 inline typename __gnu_cxx::__promote<_Tp>::__type
01456 sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
01457 {
01458 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01459 return __detail::__sph_legendre<__type>(__l, __m, __theta);
01460 }
01461
01462 inline float
01463 sph_neumannf(unsigned int __n, float __x)
01464 { return __detail::__sph_neumann<float>(__n, __x); }
01465
01466 inline long double
01467 sph_neumannl(unsigned int __n, long double __x)
01468 { return __detail::__sph_neumann<long double>(__n, __x); }
01469
01470
01471 template<typename _Tp>
01472 inline typename __gnu_cxx::__promote<_Tp>::__type
01473 sph_neumann(unsigned int __n, _Tp __x)
01474 {
01475 typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
01476 return __detail::__sph_neumann<__type>(__n, __x);
01477 }
01478
01479
01480 _GLIBCXX_END_NAMESPACE_VERSION
01481 }
01482 }
01483
01484 #endif // _GLIBCXX_TR1_CMATH