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      1 // -*- C++ -*- C forwarding header.
      2 
      3 // Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
      4 // 2006, 2007, 2008, 2009, 2010, 2011
      5 // Free Software Foundation, Inc.
      6 //
      7 // This file is part of the GNU ISO C++ Library.  This library is free
      8 // software; you can redistribute it and/or modify it under the
      9 // terms of the GNU General Public License as published by the
     10 // Free Software Foundation; either version 3, or (at your option)
     11 // any later version.
     12 
     13 // This library is distributed in the hope that it will be useful,
     14 // but WITHOUT ANY WARRANTY; without even the implied warranty of
     15 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
     16 // GNU General Public License for more details.
     17 
     18 // Under Section 7 of GPL version 3, you are granted additional
     19 // permissions described in the GCC Runtime Library Exception, version
     20 // 3.1, as published by the Free Software Foundation.
     21 
     22 // You should have received a copy of the GNU General Public License and
     23 // a copy of the GCC Runtime Library Exception along with this program;
     24 // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
     25 // <http://www.gnu.org/licenses/>.
     26 
     27 /** @file include/cmath
     28  *  This is a Standard C++ Library file.  You should @c \#include this file
     29  *  in your programs, rather than any of the @a *.h implementation files.
     30  *
     31  *  This is the C++ version of the Standard C Library header @c math.h,
     32  *  and its contents are (mostly) the same as that header, but are all
     33  *  contained in the namespace @c std (except for names which are defined
     34  *  as macros in C).
     35  */
     36 
     37 //
     38 // ISO C++ 14882: 26.5  C library
     39 //
     40 
     41 #pragma GCC system_header
     42 
     43 #include <bits/c++config.h>
     44 #include <bits/cpp_type_traits.h>
     45 #include <ext/type_traits.h>
     46 #include <math.h>
     47 
     48 #ifndef _GLIBCXX_CMATH
     49 #define _GLIBCXX_CMATH 1
     50 
     51 // Get rid of those macros defined in <math.h> in lieu of real functions.
     52 #undef abs
     53 #undef div
     54 #undef acos
     55 #undef asin
     56 #undef atan
     57 #undef atan2
     58 #undef ceil
     59 #undef cos
     60 #undef cosh
     61 #undef exp
     62 #undef fabs
     63 #undef floor
     64 #undef fmod
     65 #undef frexp
     66 #undef ldexp
     67 #undef log
     68 #undef log10
     69 #undef modf
     70 #undef pow
     71 #undef sin
     72 #undef sinh
     73 #undef sqrt
     74 #undef tan
     75 #undef tanh
     76 
     77 namespace std _GLIBCXX_VISIBILITY(default)
     78 {
     79 _GLIBCXX_BEGIN_NAMESPACE_VERSION
     80 
     81   inline double
     82   abs(double __x)
     83   { return __builtin_fabs(__x); }
     84 
     85   inline float
     86   abs(float __x)
     87   { return __builtin_fabsf(__x); }
     88 
     89   inline long double
     90   abs(long double __x)
     91   { return __builtin_fabsl(__x); }
     92 
     93   template<typename _Tp>
     94     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
     95 					   double>::__type
     96     abs(_Tp __x)
     97     { return __builtin_fabs(__x); }
     98 
     99   using ::acos;
    100 
    101   inline float
    102   acos(float __x)
    103   { return __builtin_acosf(__x); }
    104 
    105   inline long double
    106   acos(long double __x)
    107   { return __builtin_acosl(__x); }
    108 
    109   template<typename _Tp>
    110     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    111 					   double>::__type
    112     acos(_Tp __x)
    113     { return __builtin_acos(__x); }
    114 
    115   using ::asin;
    116 
    117   inline float
    118   asin(float __x)
    119   { return __builtin_asinf(__x); }
    120 
    121   inline long double
    122   asin(long double __x)
    123   { return __builtin_asinl(__x); }
    124 
    125   template<typename _Tp>
    126     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    127 					   double>::__type
    128     asin(_Tp __x)
    129     { return __builtin_asin(__x); }
    130 
    131   using ::atan;
    132 
    133   inline float
    134   atan(float __x)
    135   { return __builtin_atanf(__x); }
    136 
    137   inline long double
    138   atan(long double __x)
    139   { return __builtin_atanl(__x); }
    140 
    141   template<typename _Tp>
    142     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    143 					   double>::__type
    144     atan(_Tp __x)
    145     { return __builtin_atan(__x); }
    146 
    147   using ::atan2;
    148 
    149   inline float
    150   atan2(float __y, float __x)
    151   { return __builtin_atan2f(__y, __x); }
    152 
    153   inline long double
    154   atan2(long double __y, long double __x)
    155   { return __builtin_atan2l(__y, __x); }
    156 
    157   template<typename _Tp, typename _Up>
    158     inline
    159     typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    160     atan2(_Tp __y, _Up __x)
    161     {
    162       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    163       return atan2(__type(__y), __type(__x));
    164     }
    165 
    166   using ::ceil;
    167 
    168   inline float
    169   ceil(float __x)
    170   { return __builtin_ceilf(__x); }
    171 
    172   inline long double
    173   ceil(long double __x)
    174   { return __builtin_ceill(__x); }
    175 
    176   template<typename _Tp>
    177     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    178 					   double>::__type
    179     ceil(_Tp __x)
    180     { return __builtin_ceil(__x); }
    181 
    182   using ::cos;
    183 
    184   inline float
    185   cos(float __x)
    186   { return __builtin_cosf(__x); }
    187 
    188   inline long double
    189   cos(long double __x)
    190   { return __builtin_cosl(__x); }
    191 
    192   template<typename _Tp>
    193     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    194 					   double>::__type
    195     cos(_Tp __x)
    196     { return __builtin_cos(__x); }
    197 
    198   using ::cosh;
    199 
    200   inline float
    201   cosh(float __x)
    202   { return __builtin_coshf(__x); }
    203 
    204   inline long double
    205   cosh(long double __x)
    206   { return __builtin_coshl(__x); }
    207 
    208   template<typename _Tp>
    209     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    210 					   double>::__type
    211     cosh(_Tp __x)
    212     { return __builtin_cosh(__x); }
    213 
    214   using ::exp;
    215 
    216   inline float
    217   exp(float __x)
    218   { return __builtin_expf(__x); }
    219 
    220   inline long double
    221   exp(long double __x)
    222   { return __builtin_expl(__x); }
    223 
    224   template<typename _Tp>
    225     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    226 					   double>::__type
    227     exp(_Tp __x)
    228     { return __builtin_exp(__x); }
    229 
    230   using ::fabs;
    231 
    232   inline float
    233   fabs(float __x)
    234   { return __builtin_fabsf(__x); }
    235 
    236   inline long double
    237   fabs(long double __x)
    238   { return __builtin_fabsl(__x); }
    239 
    240   template<typename _Tp>
    241     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    242 					   double>::__type
    243     fabs(_Tp __x)
    244     { return __builtin_fabs(__x); }
    245 
    246   using ::floor;
    247 
    248   inline float
    249   floor(float __x)
    250   { return __builtin_floorf(__x); }
    251 
    252   inline long double
    253   floor(long double __x)
    254   { return __builtin_floorl(__x); }
    255 
    256   template<typename _Tp>
    257     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    258 					   double>::__type
    259     floor(_Tp __x)
    260     { return __builtin_floor(__x); }
    261 
    262   using ::fmod;
    263 
    264   inline float
    265   fmod(float __x, float __y)
    266   { return __builtin_fmodf(__x, __y); }
    267 
    268   inline long double
    269   fmod(long double __x, long double __y)
    270   { return __builtin_fmodl(__x, __y); }
    271 
    272   using ::frexp;
    273 
    274   inline float
    275   frexp(float __x, int* __exp)
    276   { return __builtin_frexpf(__x, __exp); }
    277 
    278   inline long double
    279   frexp(long double __x, int* __exp)
    280   { return __builtin_frexpl(__x, __exp); }
    281 
    282   template<typename _Tp>
    283     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    284 					   double>::__type
    285     frexp(_Tp __x, int* __exp)
    286     { return __builtin_frexp(__x, __exp); }
    287 
    288   using ::ldexp;
    289 
    290   inline float
    291   ldexp(float __x, int __exp)
    292   { return __builtin_ldexpf(__x, __exp); }
    293 
    294   inline long double
    295   ldexp(long double __x, int __exp)
    296   { return __builtin_ldexpl(__x, __exp); }
    297 
    298   template<typename _Tp>
    299     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    300 					   double>::__type
    301   ldexp(_Tp __x, int __exp)
    302   { return __builtin_ldexp(__x, __exp); }
    303 
    304   using ::log;
    305 
    306   inline float
    307   log(float __x)
    308   { return __builtin_logf(__x); }
    309 
    310   inline long double
    311   log(long double __x)
    312   { return __builtin_logl(__x); }
    313 
    314   template<typename _Tp>
    315     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    316 					   double>::__type
    317     log(_Tp __x)
    318     { return __builtin_log(__x); }
    319 
    320   using ::log10;
    321 
    322   inline float
    323   log10(float __x)
    324   { return __builtin_log10f(__x); }
    325 
    326   inline long double
    327   log10(long double __x)
    328   { return __builtin_log10l(__x); }
    329 
    330   template<typename _Tp>
    331     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    332 					   double>::__type
    333     log10(_Tp __x)
    334     { return __builtin_log10(__x); }
    335 
    336   using ::modf;
    337 
    338   inline float
    339   modf(float __x, float* __iptr)
    340   { return __builtin_modff(__x, __iptr); }
    341 
    342   inline long double
    343   modf(long double __x, long double* __iptr)
    344   { return __builtin_modfl(__x, __iptr); }
    345 
    346   using ::pow;
    347 
    348   inline float
    349   pow(float __x, float __y)
    350   { return __builtin_powf(__x, __y); }
    351 
    352   inline long double
    353   pow(long double __x, long double __y)
    354   { return __builtin_powl(__x, __y); }
    355 
    356 #ifndef __GXX_EXPERIMENTAL_CXX0X__
    357   // _GLIBCXX_RESOLVE_LIB_DEFECTS
    358   // DR 550. What should the return type of pow(float,int) be?
    359   inline double
    360   pow(double __x, int __i)
    361   { return __builtin_powi(__x, __i); }
    362 
    363   inline float
    364   pow(float __x, int __n)
    365   { return __builtin_powif(__x, __n); }
    366 
    367   inline long double
    368   pow(long double __x, int __n)
    369   { return __builtin_powil(__x, __n); }
    370 #endif
    371 
    372   template<typename _Tp, typename _Up>
    373     inline
    374     typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    375     pow(_Tp __x, _Up __y)
    376     {
    377       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    378       return pow(__type(__x), __type(__y));
    379     }
    380 
    381   using ::sin;
    382 
    383   inline float
    384   sin(float __x)
    385   { return __builtin_sinf(__x); }
    386 
    387   inline long double
    388   sin(long double __x)
    389   { return __builtin_sinl(__x); }
    390 
    391   template<typename _Tp>
    392     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    393 					   double>::__type
    394     sin(_Tp __x)
    395     { return __builtin_sin(__x); }
    396 
    397   using ::sinh;
    398 
    399   inline float
    400   sinh(float __x)
    401   { return __builtin_sinhf(__x); }
    402 
    403   inline long double
    404   sinh(long double __x)
    405   { return __builtin_sinhl(__x); }
    406 
    407   template<typename _Tp>
    408     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    409 					   double>::__type
    410     sinh(_Tp __x)
    411     { return __builtin_sinh(__x); }
    412 
    413   using ::sqrt;
    414 
    415   inline float
    416   sqrt(float __x)
    417   { return __builtin_sqrtf(__x); }
    418 
    419   inline long double
    420   sqrt(long double __x)
    421   { return __builtin_sqrtl(__x); }
    422 
    423   template<typename _Tp>
    424     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    425 					   double>::__type
    426     sqrt(_Tp __x)
    427     { return __builtin_sqrt(__x); }
    428 
    429   using ::tan;
    430 
    431   inline float
    432   tan(float __x)
    433   { return __builtin_tanf(__x); }
    434 
    435   inline long double
    436   tan(long double __x)
    437   { return __builtin_tanl(__x); }
    438 
    439   template<typename _Tp>
    440     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    441 					   double>::__type
    442     tan(_Tp __x)
    443     { return __builtin_tan(__x); }
    444 
    445   using ::tanh;
    446 
    447   inline float
    448   tanh(float __x)
    449   { return __builtin_tanhf(__x); }
    450 
    451   inline long double
    452   tanh(long double __x)
    453   { return __builtin_tanhl(__x); }
    454 
    455   template<typename _Tp>
    456     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
    457 					   double>::__type
    458     tanh(_Tp __x)
    459     { return __builtin_tanh(__x); }
    460 
    461 _GLIBCXX_END_NAMESPACE_VERSION
    462 } // namespace
    463 
    464 #if _GLIBCXX_USE_C99_MATH
    465 #if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
    466 
    467 // These are possible macros imported from C99-land.
    468 #undef fpclassify
    469 #undef isfinite
    470 #undef isinf
    471 #undef isnan
    472 #undef isnormal
    473 #undef signbit
    474 #undef isgreater
    475 #undef isgreaterequal
    476 #undef isless
    477 #undef islessequal
    478 #undef islessgreater
    479 #undef isunordered
    480 
    481 namespace std _GLIBCXX_VISIBILITY(default)
    482 {
    483 _GLIBCXX_BEGIN_NAMESPACE_VERSION
    484 
    485 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    486   inline int
    487   fpclassify(float __x)
    488   { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
    489 				FP_SUBNORMAL, FP_ZERO, __x); }
    490 
    491   inline int
    492   fpclassify(double __x)
    493   { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
    494 				FP_SUBNORMAL, FP_ZERO, __x); }
    495 
    496   inline int
    497   fpclassify(long double __x)
    498   { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
    499 				FP_SUBNORMAL, FP_ZERO, __x); }
    500 
    501   template<typename _Tp>
    502     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    503 					   int>::__type
    504     fpclassify(_Tp __x)
    505     { return __x != 0 ? FP_NORMAL : FP_ZERO; }
    506 
    507   inline bool
    508   isfinite(float __x)
    509   { return __builtin_isfinite(__x); }
    510 
    511   inline bool
    512   isfinite(double __x)
    513   { return __builtin_isfinite(__x); }
    514 
    515   inline bool
    516   isfinite(long double __x)
    517   { return __builtin_isfinite(__x); }
    518 
    519   template<typename _Tp>
    520     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    521 					   bool>::__type
    522     isfinite(_Tp __x)
    523     { return true; }
    524 
    525   inline bool
    526   isinf(float __x)
    527   { return __builtin_isinf(__x); }
    528 
    529   inline bool
    530   isinf(double __x)
    531   { return __builtin_isinf(__x); }
    532 
    533   inline bool
    534   isinf(long double __x)
    535   { return __builtin_isinf(__x); }
    536 
    537   template<typename _Tp>
    538     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    539 					   bool>::__type
    540     isinf(_Tp __x)
    541     { return false; }
    542 
    543   inline bool
    544   isnan(float __x)
    545   { return __builtin_isnan(__x); }
    546 
    547   inline bool
    548   isnan(double __x)
    549   { return __builtin_isnan(__x); }
    550 
    551   inline bool
    552   isnan(long double __x)
    553   { return __builtin_isnan(__x); }
    554 
    555   template<typename _Tp>
    556     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    557 					   bool>::__type
    558     isnan(_Tp __x)
    559     { return false; }
    560 
    561   inline bool
    562   isnormal(float __x)
    563   { return __builtin_isnormal(__x); }
    564 
    565   inline bool
    566   isnormal(double __x)
    567   { return __builtin_isnormal(__x); }
    568 
    569   inline bool
    570   isnormal(long double __x)
    571   { return __builtin_isnormal(__x); }
    572 
    573   template<typename _Tp>
    574     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    575 					   bool>::__type
    576     isnormal(_Tp __x)
    577     { return __x != 0 ? true : false; }
    578 
    579   inline bool
    580   signbit(float __x)
    581   { return __builtin_signbit(__x); }
    582 
    583   inline bool
    584   signbit(double __x)
    585   { return __builtin_signbit(__x); }
    586 
    587   inline bool
    588   signbit(long double __x)
    589   { return __builtin_signbit(__x); }
    590 
    591   template<typename _Tp>
    592     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
    593 					   bool>::__type
    594     signbit(_Tp __x)
    595     { return __x < 0 ? true : false; }
    596 
    597   inline bool
    598   isgreater(float __x, float __y)
    599   { return __builtin_isgreater(__x, __y); }
    600 
    601   inline bool
    602   isgreater(double __x, double __y)
    603   { return __builtin_isgreater(__x, __y); }
    604 
    605   inline bool
    606   isgreater(long double __x, long double __y)
    607   { return __builtin_isgreater(__x, __y); }
    608 
    609   template<typename _Tp, typename _Up>
    610     inline typename
    611     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    612 			    && __is_arithmetic<_Up>::__value), bool>::__type
    613     isgreater(_Tp __x, _Up __y)
    614     {
    615       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    616       return __builtin_isgreater(__type(__x), __type(__y));
    617     }
    618 
    619   inline bool
    620   isgreaterequal(float __x, float __y)
    621   { return __builtin_isgreaterequal(__x, __y); }
    622 
    623   inline bool
    624   isgreaterequal(double __x, double __y)
    625   { return __builtin_isgreaterequal(__x, __y); }
    626 
    627   inline bool
    628   isgreaterequal(long double __x, long double __y)
    629   { return __builtin_isgreaterequal(__x, __y); }
    630 
    631   template<typename _Tp, typename _Up>
    632     inline typename
    633     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    634 			    && __is_arithmetic<_Up>::__value), bool>::__type
    635     isgreaterequal(_Tp __x, _Up __y)
    636     {
    637       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    638       return __builtin_isgreaterequal(__type(__x), __type(__y));
    639     }
    640 
    641   inline bool
    642   isless(float __x, float __y)
    643   { return __builtin_isless(__x, __y); }
    644 
    645   inline bool
    646   isless(double __x, double __y)
    647   { return __builtin_isless(__x, __y); }
    648 
    649   inline bool
    650   isless(long double __x, long double __y)
    651   { return __builtin_isless(__x, __y); }
    652 
    653   template<typename _Tp, typename _Up>
    654     inline typename
    655     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    656 			    && __is_arithmetic<_Up>::__value), bool>::__type
    657     isless(_Tp __x, _Up __y)
    658     {
    659       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    660       return __builtin_isless(__type(__x), __type(__y));
    661     }
    662 
    663   inline bool
    664   islessequal(float __x, float __y)
    665   { return __builtin_islessequal(__x, __y); }
    666 
    667   inline bool
    668   islessequal(double __x, double __y)
    669   { return __builtin_islessequal(__x, __y); }
    670 
    671   inline bool
    672   islessequal(long double __x, long double __y)
    673   { return __builtin_islessequal(__x, __y); }
    674 
    675   template<typename _Tp, typename _Up>
    676     inline typename
    677     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    678 			    && __is_arithmetic<_Up>::__value), bool>::__type
    679     islessequal(_Tp __x, _Up __y)
    680     {
    681       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    682       return __builtin_islessequal(__type(__x), __type(__y));
    683     }
    684 
    685   inline bool
    686   islessgreater(float __x, float __y)
    687   { return __builtin_islessgreater(__x, __y); }
    688 
    689   inline bool
    690   islessgreater(double __x, double __y)
    691   { return __builtin_islessgreater(__x, __y); }
    692 
    693   inline bool
    694   islessgreater(long double __x, long double __y)
    695   { return __builtin_islessgreater(__x, __y); }
    696 
    697   template<typename _Tp, typename _Up>
    698     inline typename
    699     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    700 			    && __is_arithmetic<_Up>::__value), bool>::__type
    701     islessgreater(_Tp __x, _Up __y)
    702     {
    703       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    704       return __builtin_islessgreater(__type(__x), __type(__y));
    705     }
    706 
    707   inline bool
    708   isunordered(float __x, float __y)
    709   { return __builtin_isunordered(__x, __y); }
    710 
    711   inline bool
    712   isunordered(double __x, double __y)
    713   { return __builtin_isunordered(__x, __y); }
    714 
    715   inline bool
    716   isunordered(long double __x, long double __y)
    717   { return __builtin_isunordered(__x, __y); }
    718 
    719   template<typename _Tp, typename _Up>
    720     inline typename
    721     __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
    722 			    && __is_arithmetic<_Up>::__value), bool>::__type
    723     isunordered(_Tp __x, _Up __y)
    724     {
    725       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
    726       return __builtin_isunordered(__type(__x), __type(__y));
    727     }
    728 
    729 #else
    730 
    731   template<typename _Tp>
    732     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    733 					   int>::__type
    734     fpclassify(_Tp __f)
    735     {
    736       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    737       return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
    738 				  FP_SUBNORMAL, FP_ZERO, __type(__f));
    739     }
    740 
    741   template<typename _Tp>
    742     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    743 					   int>::__type
    744     isfinite(_Tp __f)
    745     {
    746       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    747       return __builtin_isfinite(__type(__f));
    748     }
    749 
    750   template<typename _Tp>
    751     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    752 					   int>::__type
    753     isinf(_Tp __f)
    754     {
    755       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    756       return __builtin_isinf(__type(__f));
    757     }
    758 
    759   template<typename _Tp>
    760     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    761 					   int>::__type
    762     isnan(_Tp __f)
    763     {
    764       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    765       return __builtin_isnan(__type(__f));
    766     }
    767 
    768   template<typename _Tp>
    769     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    770 					   int>::__type
    771     isnormal(_Tp __f)
    772     {
    773       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    774       return __builtin_isnormal(__type(__f));
    775     }
    776 
    777   template<typename _Tp>
    778     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    779 					   int>::__type
    780     signbit(_Tp __f)
    781     {
    782       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    783       return __builtin_signbit(__type(__f));
    784     }
    785 
    786   template<typename _Tp>
    787     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    788 					   int>::__type
    789     isgreater(_Tp __f1, _Tp __f2)
    790     {
    791       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    792       return __builtin_isgreater(__type(__f1), __type(__f2));
    793     }
    794 
    795   template<typename _Tp>
    796     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    797 					   int>::__type
    798     isgreaterequal(_Tp __f1, _Tp __f2)
    799     {
    800       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    801       return __builtin_isgreaterequal(__type(__f1), __type(__f2));
    802     }
    803 
    804   template<typename _Tp>
    805     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    806 					   int>::__type
    807     isless(_Tp __f1, _Tp __f2)
    808     {
    809       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    810       return __builtin_isless(__type(__f1), __type(__f2));
    811     }
    812 
    813   template<typename _Tp>
    814     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    815 					   int>::__type
    816     islessequal(_Tp __f1, _Tp __f2)
    817     {
    818       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    819       return __builtin_islessequal(__type(__f1), __type(__f2));
    820     }
    821 
    822   template<typename _Tp>
    823     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    824 					   int>::__type
    825     islessgreater(_Tp __f1, _Tp __f2)
    826     {
    827       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    828       return __builtin_islessgreater(__type(__f1), __type(__f2));
    829     }
    830 
    831   template<typename _Tp>
    832     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
    833 					   int>::__type
    834     isunordered(_Tp __f1, _Tp __f2)
    835     {
    836       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
    837       return __builtin_isunordered(__type(__f1), __type(__f2));
    838     }
    839 
    840 #endif
    841 
    842 _GLIBCXX_END_NAMESPACE_VERSION
    843 } // namespace
    844 
    845 #endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
    846 #endif
    847 
    848 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    849 
    850 #ifdef _GLIBCXX_USE_C99_MATH_TR1
    851 
    852 #undef acosh
    853 #undef acoshf
    854 #undef acoshl
    855 #undef asinh
    856 #undef asinhf
    857 #undef asinhl
    858 #undef atanh
    859 #undef atanhf
    860 #undef atanhl
    861 #undef cbrt
    862 #undef cbrtf
    863 #undef cbrtl
    864 #undef copysign
    865 #undef copysignf
    866 #undef copysignl
    867 #undef erf
    868 #undef erff
    869 #undef erfl
    870 #undef erfc
    871 #undef erfcf
    872 #undef erfcl
    873 #undef exp2
    874 #undef exp2f
    875 #undef exp2l
    876 #undef expm1
    877 #undef expm1f
    878 #undef expm1l
    879 #undef fdim
    880 #undef fdimf
    881 #undef fdiml
    882 #undef fma
    883 #undef fmaf
    884 #undef fmal
    885 #undef fmax
    886 #undef fmaxf
    887 #undef fmaxl
    888 #undef fmin
    889 #undef fminf
    890 #undef fminl
    891 #undef hypot
    892 #undef hypotf
    893 #undef hypotl
    894 #undef ilogb
    895 #undef ilogbf
    896 #undef ilogbl
    897 #undef lgamma
    898 #undef lgammaf
    899 #undef lgammal
    900 #undef llrint
    901 #undef llrintf
    902 #undef llrintl
    903 #undef llround
    904 #undef llroundf
    905 #undef llroundl
    906 #undef log1p
    907 #undef log1pf
    908 #undef log1pl
    909 #undef log2
    910 #undef log2f
    911 #undef log2l
    912 #undef logb
    913 #undef logbf
    914 #undef logbl
    915 #undef lrint
    916 #undef lrintf
    917 #undef lrintl
    918 #undef lround
    919 #undef lroundf
    920 #undef lroundl
    921 #undef nan
    922 #undef nanf
    923 #undef nanl
    924 #undef nearbyint
    925 #undef nearbyintf
    926 #undef nearbyintl
    927 #undef nextafter
    928 #undef nextafterf
    929 #undef nextafterl
    930 #undef nexttoward
    931 #undef nexttowardf
    932 #undef nexttowardl
    933 #undef remainder
    934 #undef remainderf
    935 #undef remainderl
    936 #undef remquo
    937 #undef remquof
    938 #undef remquol
    939 #undef rint
    940 #undef rintf
    941 #undef rintl
    942 #undef round
    943 #undef roundf
    944 #undef roundl
    945 #undef scalbln
    946 #undef scalblnf
    947 #undef scalblnl
    948 #undef scalbn
    949 #undef scalbnf
    950 #undef scalbnl
    951 #undef tgamma
    952 #undef tgammaf
    953 #undef tgammal
    954 #undef trunc
    955 #undef truncf
    956 #undef truncl
    957 
    958 namespace std _GLIBCXX_VISIBILITY(default)
    959 {
    960 _GLIBCXX_BEGIN_NAMESPACE_VERSION
    961 
    962   // types
    963   using ::double_t;
    964   using ::float_t;
    965 
    966   // functions
    967   using ::acosh;
    968   using ::acoshf;
    969   using ::acoshl;
    970 
    971   using ::asinh;
    972   using ::asinhf;
    973   using ::asinhl;
    974 
    975   using ::atanh;
    976   using ::atanhf;
    977   using ::atanhl;
    978 
    979   using ::cbrt;
    980   using ::cbrtf;
    981   using ::cbrtl;
    982 
    983   using ::copysign;
    984   using ::copysignf;
    985   using ::copysignl;
    986 
    987   using ::erf;
    988   using ::erff;
    989   using ::erfl;
    990 
    991   using ::erfc;
    992   using ::erfcf;
    993   using ::erfcl;
    994 
    995   using ::exp2;
    996   using ::exp2f;
    997   using ::exp2l;
    998 
    999   using ::expm1;
   1000   using ::expm1f;
   1001   using ::expm1l;
   1002 
   1003   using ::fdim;
   1004   using ::fdimf;
   1005   using ::fdiml;
   1006 
   1007   using ::fma;
   1008   using ::fmaf;
   1009   using ::fmal;
   1010 
   1011   using ::fmax;
   1012   using ::fmaxf;
   1013   using ::fmaxl;
   1014 
   1015   using ::fmin;
   1016   using ::fminf;
   1017   using ::fminl;
   1018 
   1019   using ::hypot;
   1020   using ::hypotf;
   1021   using ::hypotl;
   1022 
   1023   using ::ilogb;
   1024   using ::ilogbf;
   1025   using ::ilogbl;
   1026 
   1027   using ::lgamma;
   1028   using ::lgammaf;
   1029   using ::lgammal;
   1030 
   1031   using ::llrint;
   1032   using ::llrintf;
   1033   using ::llrintl;
   1034 
   1035   using ::llround;
   1036   using ::llroundf;
   1037   using ::llroundl;
   1038 
   1039   using ::log1p;
   1040   using ::log1pf;
   1041   using ::log1pl;
   1042 
   1043   using ::log2;
   1044   using ::log2f;
   1045   using ::log2l;
   1046 
   1047   using ::logb;
   1048   using ::logbf;
   1049   using ::logbl;
   1050 
   1051   using ::lrint;
   1052   using ::lrintf;
   1053   using ::lrintl;
   1054 
   1055   using ::lround;
   1056   using ::lroundf;
   1057   using ::lroundl;
   1058 
   1059   using ::nan;
   1060   using ::nanf;
   1061   using ::nanl;
   1062 
   1063   using ::nearbyint;
   1064   using ::nearbyintf;
   1065   using ::nearbyintl;
   1066 
   1067   using ::nextafter;
   1068   using ::nextafterf;
   1069   using ::nextafterl;
   1070 
   1071   using ::nexttoward;
   1072   using ::nexttowardf;
   1073   using ::nexttowardl;
   1074 
   1075   using ::remainder;
   1076   using ::remainderf;
   1077   using ::remainderl;
   1078 
   1079   using ::remquo;
   1080   using ::remquof;
   1081   using ::remquol;
   1082 
   1083   using ::rint;
   1084   using ::rintf;
   1085   using ::rintl;
   1086 
   1087   using ::round;
   1088   using ::roundf;
   1089   using ::roundl;
   1090 
   1091   using ::scalbln;
   1092   using ::scalblnf;
   1093   using ::scalblnl;
   1094 
   1095   using ::scalbn;
   1096   using ::scalbnf;
   1097   using ::scalbnl;
   1098 
   1099   using ::tgamma;
   1100   using ::tgammaf;
   1101   using ::tgammal;
   1102 
   1103   using ::trunc;
   1104   using ::truncf;
   1105   using ::truncl;
   1106 
   1107   /// Additional overloads.
   1108   inline float
   1109   acosh(float __x)
   1110   { return __builtin_acoshf(__x); }
   1111 
   1112   inline long double
   1113   acosh(long double __x)
   1114   { return __builtin_acoshl(__x); }
   1115 
   1116   template<typename _Tp>
   1117     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1118 					   double>::__type
   1119     acosh(_Tp __x)
   1120     { return __builtin_acosh(__x); }
   1121 
   1122   inline float
   1123   asinh(float __x)
   1124   { return __builtin_asinhf(__x); }
   1125 
   1126   inline long double
   1127   asinh(long double __x)
   1128   { return __builtin_asinhl(__x); }
   1129 
   1130   template<typename _Tp>
   1131     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1132 					   double>::__type
   1133     asinh(_Tp __x)
   1134     { return __builtin_asinh(__x); }
   1135 
   1136   inline float
   1137   atanh(float __x)
   1138   { return __builtin_atanhf(__x); }
   1139 
   1140   inline long double
   1141   atanh(long double __x)
   1142   { return __builtin_atanhl(__x); }
   1143 
   1144   template<typename _Tp>
   1145     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1146 					   double>::__type
   1147     atanh(_Tp __x)
   1148     { return __builtin_atanh(__x); }
   1149 
   1150   inline float
   1151   cbrt(float __x)
   1152   { return __builtin_cbrtf(__x); }
   1153 
   1154   inline long double
   1155   cbrt(long double __x)
   1156   { return __builtin_cbrtl(__x); }
   1157 
   1158   template<typename _Tp>
   1159     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1160 					   double>::__type
   1161     cbrt(_Tp __x)
   1162     { return __builtin_cbrt(__x); }
   1163 
   1164   inline float
   1165   copysign(float __x, float __y)
   1166   { return __builtin_copysignf(__x, __y); }
   1167 
   1168   inline long double
   1169   copysign(long double __x, long double __y)
   1170   { return __builtin_copysignl(__x, __y); }
   1171 
   1172   template<typename _Tp, typename _Up>
   1173     inline
   1174     typename __gnu_cxx::__promote_2<
   1175     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1176 				    && __is_arithmetic<_Up>::__value,
   1177 				    _Tp>::__type, _Up>::__type
   1178     copysign(_Tp __x, _Up __y)
   1179     {
   1180       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1181       return copysign(__type(__x), __type(__y));
   1182     }
   1183 
   1184   inline float
   1185   erf(float __x)
   1186   { return __builtin_erff(__x); }
   1187 
   1188   inline long double
   1189   erf(long double __x)
   1190   { return __builtin_erfl(__x); }
   1191 
   1192   template<typename _Tp>
   1193     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1194 					   double>::__type
   1195     erf(_Tp __x)
   1196     { return __builtin_erf(__x); }
   1197 
   1198   inline float
   1199   erfc(float __x)
   1200   { return __builtin_erfcf(__x); }
   1201 
   1202   inline long double
   1203   erfc(long double __x)
   1204   { return __builtin_erfcl(__x); }
   1205 
   1206   template<typename _Tp>
   1207     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1208 					   double>::__type
   1209     erfc(_Tp __x)
   1210     { return __builtin_erfc(__x); }
   1211 
   1212   inline float
   1213   exp2(float __x)
   1214   { return __builtin_exp2f(__x); }
   1215 
   1216   inline long double
   1217   exp2(long double __x)
   1218   { return __builtin_exp2l(__x); }
   1219 
   1220   template<typename _Tp>
   1221     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1222 					   double>::__type
   1223     exp2(_Tp __x)
   1224     { return __builtin_exp2(__x); }
   1225 
   1226   inline float
   1227   expm1(float __x)
   1228   { return __builtin_expm1f(__x); }
   1229 
   1230   inline long double
   1231   expm1(long double __x)
   1232   { return __builtin_expm1l(__x); }
   1233 
   1234   template<typename _Tp>
   1235     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1236 					   double>::__type
   1237     expm1(_Tp __x)
   1238     { return __builtin_expm1(__x); }
   1239 
   1240   inline float
   1241   fdim(float __x, float __y)
   1242   { return __builtin_fdimf(__x, __y); }
   1243 
   1244   inline long double
   1245   fdim(long double __x, long double __y)
   1246   { return __builtin_fdiml(__x, __y); }
   1247 
   1248   template<typename _Tp, typename _Up>
   1249     inline
   1250     typename __gnu_cxx::__promote_2<
   1251     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1252 				    && __is_arithmetic<_Up>::__value,
   1253 				    _Tp>::__type, _Up>::__type
   1254     fdim(_Tp __x, _Up __y)
   1255     {
   1256       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1257       return fdim(__type(__x), __type(__y));
   1258     }
   1259 
   1260   inline float
   1261   fma(float __x, float __y, float __z)
   1262   { return __builtin_fmaf(__x, __y, __z); }
   1263 
   1264   inline long double
   1265   fma(long double __x, long double __y, long double __z)
   1266   { return __builtin_fmal(__x, __y, __z); }
   1267 
   1268   template<typename _Tp, typename _Up, typename _Vp>
   1269     inline
   1270     typename __gnu_cxx::__promote_3<
   1271     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1272 				    && __is_arithmetic<_Up>::__value
   1273 				    && __is_arithmetic<_Vp>::__value,
   1274 				    _Tp>::__type, _Up, _Vp>::__type
   1275     fma(_Tp __x, _Up __y, _Vp __z)
   1276     {
   1277       typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
   1278       return fma(__type(__x), __type(__y), __type(__z));
   1279     }
   1280 
   1281   inline float
   1282   fmax(float __x, float __y)
   1283   { return __builtin_fmaxf(__x, __y); }
   1284 
   1285   inline long double
   1286   fmax(long double __x, long double __y)
   1287   { return __builtin_fmaxl(__x, __y); }
   1288 
   1289   template<typename _Tp, typename _Up>
   1290     inline
   1291     typename __gnu_cxx::__promote_2<
   1292     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1293 				    && __is_arithmetic<_Up>::__value,
   1294 				    _Tp>::__type, _Up>::__type
   1295     fmax(_Tp __x, _Up __y)
   1296     {
   1297       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1298       return fmax(__type(__x), __type(__y));
   1299     }
   1300 
   1301   inline float
   1302   fmin(float __x, float __y)
   1303   { return __builtin_fminf(__x, __y); }
   1304 
   1305   inline long double
   1306   fmin(long double __x, long double __y)
   1307   { return __builtin_fminl(__x, __y); }
   1308 
   1309   template<typename _Tp, typename _Up>
   1310     inline
   1311     typename __gnu_cxx::__promote_2<
   1312     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1313 				    && __is_arithmetic<_Up>::__value,
   1314 				    _Tp>::__type, _Up>::__type
   1315     fmin(_Tp __x, _Up __y)
   1316     {
   1317       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1318       return fmin(__type(__x), __type(__y));
   1319     }
   1320 
   1321   inline float
   1322   hypot(float __x, float __y)
   1323   { return __builtin_hypotf(__x, __y); }
   1324 
   1325   inline long double
   1326   hypot(long double __x, long double __y)
   1327   { return __builtin_hypotl(__x, __y); }
   1328 
   1329   template<typename _Tp, typename _Up>
   1330     inline
   1331     typename __gnu_cxx::__promote_2<
   1332     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1333 				    && __is_arithmetic<_Up>::__value,
   1334 				    _Tp>::__type, _Up>::__type
   1335      hypot(_Tp __x, _Up __y)
   1336     {
   1337       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1338       return hypot(__type(__x), __type(__y));
   1339     }
   1340 
   1341   inline int
   1342   ilogb(float __x)
   1343   { return __builtin_ilogbf(__x); }
   1344 
   1345   inline int
   1346   ilogb(long double __x)
   1347   { return __builtin_ilogbl(__x); }
   1348 
   1349   template<typename _Tp>
   1350     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1351 					   int>::__type
   1352     ilogb(_Tp __x)
   1353     { return __builtin_ilogb(__x); }
   1354 
   1355   inline float
   1356   lgamma(float __x)
   1357   { return __builtin_lgammaf(__x); }
   1358 
   1359   inline long double
   1360   lgamma(long double __x)
   1361   { return __builtin_lgammal(__x); }
   1362 
   1363   template<typename _Tp>
   1364     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1365 					   double>::__type
   1366     lgamma(_Tp __x)
   1367     { return __builtin_lgamma(__x); }
   1368 
   1369   inline long long
   1370   llrint(float __x)
   1371   { return __builtin_llrintf(__x); }
   1372 
   1373   inline long long
   1374   llrint(long double __x)
   1375   { return __builtin_llrintl(__x); }
   1376 
   1377   template<typename _Tp>
   1378     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1379 					   long long>::__type
   1380     llrint(_Tp __x)
   1381     { return __builtin_llrint(__x); }
   1382 
   1383   inline long long
   1384   llround(float __x)
   1385   { return __builtin_llroundf(__x); }
   1386 
   1387   inline long long
   1388   llround(long double __x)
   1389   { return __builtin_llroundl(__x); }
   1390 
   1391   template<typename _Tp>
   1392     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1393                                            long long>::__type
   1394     llround(_Tp __x)
   1395     { return __builtin_llround(__x); }
   1396 
   1397   inline float
   1398   log1p(float __x)
   1399   { return __builtin_log1pf(__x); }
   1400 
   1401   inline long double
   1402   log1p(long double __x)
   1403   { return __builtin_log1pl(__x); }
   1404 
   1405   template<typename _Tp>
   1406     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1407 					   double>::__type
   1408     log1p(_Tp __x)
   1409     { return __builtin_log1p(__x); }
   1410 
   1411   // DR 568.
   1412   inline float
   1413   log2(float __x)
   1414   { return __builtin_log2f(__x); }
   1415 
   1416   inline long double
   1417   log2(long double __x)
   1418   { return __builtin_log2l(__x); }
   1419 
   1420   template<typename _Tp>
   1421     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1422 					   double>::__type
   1423     log2(_Tp __x)
   1424     { return __builtin_log2(__x); }
   1425 
   1426   inline float
   1427   logb(float __x)
   1428   { return __builtin_logbf(__x); }
   1429 
   1430   inline long double
   1431   logb(long double __x)
   1432   { return __builtin_logbl(__x); }
   1433 
   1434   template<typename _Tp>
   1435     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1436 					   double>::__type
   1437     logb(_Tp __x)
   1438     { return __builtin_logb(__x); }
   1439 
   1440   inline long
   1441   lrint(float __x)
   1442   { return __builtin_lrintf(__x); }
   1443 
   1444   inline long
   1445   lrint(long double __x)
   1446   { return __builtin_lrintl(__x); }
   1447 
   1448   template<typename _Tp>
   1449     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1450 					   long>::__type
   1451     lrint(_Tp __x)
   1452     { return __builtin_lrint(__x); }
   1453 
   1454   inline long
   1455   lround(float __x)
   1456   { return __builtin_lroundf(__x); }
   1457 
   1458   inline long
   1459   lround(long double __x)
   1460   { return __builtin_lroundl(__x); }
   1461 
   1462   template<typename _Tp>
   1463     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1464 					   long>::__type
   1465     lround(_Tp __x)
   1466     { return __builtin_lround(__x); }
   1467 
   1468   inline float
   1469   nearbyint(float __x)
   1470   { return __builtin_nearbyintf(__x); }
   1471 
   1472   inline long double
   1473   nearbyint(long double __x)
   1474   { return __builtin_nearbyintl(__x); }
   1475 
   1476   template<typename _Tp>
   1477     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1478 					   double>::__type
   1479     nearbyint(_Tp __x)
   1480     { return __builtin_nearbyint(__x); }
   1481 
   1482   inline float
   1483   nextafter(float __x, float __y)
   1484   { return __builtin_nextafterf(__x, __y); }
   1485 
   1486   inline long double
   1487   nextafter(long double __x, long double __y)
   1488   { return __builtin_nextafterl(__x, __y); }
   1489 
   1490   template<typename _Tp, typename _Up>
   1491     inline
   1492     typename __gnu_cxx::__promote_2<
   1493     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1494 				    && __is_arithmetic<_Up>::__value,
   1495 				    _Tp>::__type, _Up>::__type
   1496     nextafter(_Tp __x, _Up __y)
   1497     {
   1498       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1499       return nextafter(__type(__x), __type(__y));
   1500     }
   1501 
   1502   inline float
   1503   nexttoward(float __x, long double __y)
   1504   { return __builtin_nexttowardf(__x, __y); }
   1505 
   1506   inline long double
   1507   nexttoward(long double __x, long double __y)
   1508   { return __builtin_nexttowardl(__x, __y); }
   1509 
   1510   template<typename _Tp>
   1511     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1512 					   double>::__type
   1513     nexttoward(_Tp __x, long double __y)
   1514     { return __builtin_nexttoward(__x, __y); }
   1515 
   1516   inline float
   1517   remainder(float __x, float __y)
   1518   { return __builtin_remainderf(__x, __y); }
   1519 
   1520   inline long double
   1521   remainder(long double __x, long double __y)
   1522   { return __builtin_remainderl(__x, __y); }
   1523 
   1524   template<typename _Tp, typename _Up>
   1525     inline
   1526     typename __gnu_cxx::__promote_2<
   1527     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1528 				    && __is_arithmetic<_Up>::__value,
   1529 				    _Tp>::__type, _Up>::__type
   1530     remainder(_Tp __x, _Up __y)
   1531     {
   1532       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1533       return remainder(__type(__x), __type(__y));
   1534     }
   1535 
   1536   inline float
   1537   remquo(float __x, float __y, int* __pquo)
   1538   { return __builtin_remquof(__x, __y, __pquo); }
   1539 
   1540   inline long double
   1541   remquo(long double __x, long double __y, int* __pquo)
   1542   { return __builtin_remquol(__x, __y, __pquo); }
   1543 
   1544   template<typename _Tp, typename _Up>
   1545     inline
   1546     typename __gnu_cxx::__promote_2<
   1547     typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value
   1548 				    && __is_arithmetic<_Up>::__value,
   1549 				    _Tp>::__type, _Up>::__type
   1550     remquo(_Tp __x, _Up __y, int* __pquo)
   1551     {
   1552       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
   1553       return remquo(__type(__x), __type(__y), __pquo);
   1554     }
   1555 
   1556   inline float
   1557   rint(float __x)
   1558   { return __builtin_rintf(__x); }
   1559 
   1560   inline long double
   1561   rint(long double __x)
   1562   { return __builtin_rintl(__x); }
   1563 
   1564   template<typename _Tp>
   1565     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1566 					   double>::__type
   1567     rint(_Tp __x)
   1568     { return __builtin_rint(__x); }
   1569 
   1570   inline float
   1571   round(float __x)
   1572   { return __builtin_roundf(__x); }
   1573 
   1574   inline long double
   1575   round(long double __x)
   1576   { return __builtin_roundl(__x); }
   1577 
   1578   template<typename _Tp>
   1579     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1580 					   double>::__type
   1581     round(_Tp __x)
   1582     { return __builtin_round(__x); }
   1583 
   1584   inline float
   1585   scalbln(float __x, long __ex)
   1586   { return __builtin_scalblnf(__x, __ex); }
   1587 
   1588   inline long double
   1589   scalbln(long double __x, long __ex)
   1590   { return __builtin_scalblnl(__x, __ex); }
   1591 
   1592   template<typename _Tp>
   1593     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1594 					   double>::__type
   1595     scalbln(_Tp __x, long __ex)
   1596     { return __builtin_scalbln(__x, __ex); }
   1597  
   1598   inline float
   1599   scalbn(float __x, int __ex)
   1600   { return __builtin_scalbnf(__x, __ex); }
   1601 
   1602   inline long double
   1603   scalbn(long double __x, int __ex)
   1604   { return __builtin_scalbnl(__x, __ex); }
   1605 
   1606   template<typename _Tp>
   1607     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1608 					   double>::__type
   1609     scalbn(_Tp __x, int __ex)
   1610     { return __builtin_scalbn(__x, __ex); }
   1611 
   1612   inline float
   1613   tgamma(float __x)
   1614   { return __builtin_tgammaf(__x); }
   1615 
   1616   inline long double
   1617   tgamma(long double __x)
   1618   { return __builtin_tgammal(__x); }
   1619 
   1620   template<typename _Tp>
   1621     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1622 					   double>::__type
   1623     tgamma(_Tp __x)
   1624     { return __builtin_tgamma(__x); }
   1625  
   1626   inline float
   1627   trunc(float __x)
   1628   { return __builtin_truncf(__x); }
   1629 
   1630   inline long double
   1631   trunc(long double __x)
   1632   { return __builtin_truncl(__x); }
   1633 
   1634   template<typename _Tp>
   1635     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
   1636 					   double>::__type
   1637     trunc(_Tp __x)
   1638     { return __builtin_trunc(__x); }
   1639 
   1640 _GLIBCXX_END_NAMESPACE_VERSION
   1641 } // namespace
   1642 
   1643 #endif // _GLIBCXX_USE_C99_MATH_TR1
   1644 
   1645 #endif // __GXX_EXPERIMENTAL_CXX0X__
   1646 
   1647 #endif
   1648