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// -*- C++ -*- C forwarding header.

// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,

// 2006, 2007, 2008, 2009, 2010

// Free Software Foundation, Inc.

//

// This file is part of the GNU ISO C++ Library.  This library is free

// software; you can redistribute it and/or modify it under the

// terms of the GNU General Public License as published by the

// Free Software Foundation; either version 3, or (at your option)

// any later version.

// This library is distributed in the hope that it will be useful,

// but WITHOUT ANY WARRANTY; without even the implied warranty of

// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the

// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional

// permissions described in the GCC Runtime Library Exception, version

// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and

// a copy of the GCC Runtime Library Exception along with this program;

// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see

// .

/** @file include/cmath

 *  This is a Standard C++ Library file.  You should @c \#include this file

 *  in your programs, rather than any of the @a *.h implementation files.

 *

 *  This is the C++ version of the Standard C Library header @c math.h,

 *  and its contents are (mostly) the same as that header, but are all

 *  contained in the namespace @c std (except for names which are defined

 *  as macros in C).

 */

//

// ISO C++ 14882: 26.5  C library

//

#pragma GCC system_header

#include 

#include 

#include 

#include 

#ifndef _GLIBCXX_CMATH

#define _GLIBCXX_CMATH 1

// Get rid of those macros defined in  in lieu of real functions.

#undef abs

#undef div

#undef acos

#undef asin

#undef atan

#undef atan2

#undef ceil

#undef cos

#undef cosh

#undef exp

#undef fabs

#undef floor

#undef fmod

#undef frexp

#undef ldexp

#undef log

#undef log10

#undef modf

#undef pow

#undef sin

#undef sinh

#undef sqrt

#undef tan

#undef tanh

_GLIBCXX_BEGIN_NAMESPACE(std)

  // Forward declaration of a helper function.  This really should be

  // an `exported' forward declaration.

  template

    _Tp __cmath_power(_Tp, unsigned int);

  template

    inline _Tp

    __pow_helper(_Tp __x, int __n)

    {

      return __n < 0

        ? _Tp(1)/__cmath_power(__x, -__n)

        : __cmath_power(__x, __n);

    }

  inline double

  abs(double __x)

  { return __builtin_fabs(__x); }

  inline float

  abs(float __x)

  { return __builtin_fabsf(__x); }

  inline long double

  abs(long double __x)

  { return __builtin_fabsl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    abs(_Tp __x)

    { return __builtin_fabs(__x); }

  using ::acos;

  inline float

  acos(float __x)

  { return __builtin_acosf(__x); }

  inline long double

  acos(long double __x)

  { return __builtin_acosl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    acos(_Tp __x)

    { return __builtin_acos(__x); }

  using ::asin;

  inline float

  asin(float __x)

  { return __builtin_asinf(__x); }

  inline long double

  asin(long double __x)

  { return __builtin_asinl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    asin(_Tp __x)

    { return __builtin_asin(__x); }

  using ::atan;

  inline float

  atan(float __x)

  { return __builtin_atanf(__x); }

  inline long double

  atan(long double __x)

  { return __builtin_atanl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    atan(_Tp __x)

    { return __builtin_atan(__x); }

  using ::atan2;

  inline float

  atan2(float __y, float __x)

  { return __builtin_atan2f(__y, __x); }

  inline long double

  atan2(long double __y, long double __x)

  { return __builtin_atan2l(__y, __x); }

  template

    inline

    typename __gnu_cxx::__promote_2<

    typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value

                                    && __is_arithmetic<_Up>::__value,

                                    _Tp>::__type, _Up>::__type

    atan2(_Tp __y, _Up __x)

    {

      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;

      return atan2(__type(__y), __type(__x));

    }

  using ::ceil;

  inline float

  ceil(float __x)

  { return __builtin_ceilf(__x); }

  inline long double

  ceil(long double __x)

  { return __builtin_ceill(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    ceil(_Tp __x)

    { return __builtin_ceil(__x); }

  using ::cos;

  inline float

  cos(float __x)

  { return __builtin_cosf(__x); }

  inline long double

  cos(long double __x)

  { return __builtin_cosl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    cos(_Tp __x)

    { return __builtin_cos(__x); }

  using ::cosh;

  inline float

  cosh(float __x)

  { return __builtin_coshf(__x); }

  inline long double

  cosh(long double __x)

  { return __builtin_coshl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    cosh(_Tp __x)

    { return __builtin_cosh(__x); }

  using ::exp;

  inline float

  exp(float __x)

  { return __builtin_expf(__x); }

  inline long double

  exp(long double __x)

  { return __builtin_expl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    exp(_Tp __x)

    { return __builtin_exp(__x); }

  using ::fabs;

  inline float

  fabs(float __x)

  { return __builtin_fabsf(__x); }

  inline long double

  fabs(long double __x)

  { return __builtin_fabsl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    fabs(_Tp __x)

    { return __builtin_fabs(__x); }

  using ::floor;

  inline float

  floor(float __x)

  { return __builtin_floorf(__x); }

  inline long double

  floor(long double __x)

  { return __builtin_floorl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    floor(_Tp __x)

    { return __builtin_floor(__x); }

  using ::fmod;

  inline float

  fmod(float __x, float __y)

  { return __builtin_fmodf(__x, __y); }

  inline long double

  fmod(long double __x, long double __y)

  { return __builtin_fmodl(__x, __y); }

  using ::frexp;

  inline float

  frexp(float __x, int* __exp)

  { return __builtin_frexpf(__x, __exp); }

  inline long double

  frexp(long double __x, int* __exp)

  { return __builtin_frexpl(__x, __exp); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    frexp(_Tp __x, int* __exp)

    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;

  inline float

  ldexp(float __x, int __exp)

  { return __builtin_ldexpf(__x, __exp); }

  inline long double

  ldexp(long double __x, int __exp)

  { return __builtin_ldexpl(__x, __exp); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

  ldexp(_Tp __x, int __exp)

  { return __builtin_ldexp(__x, __exp); }

  using ::log;

  inline float

  log(float __x)

  { return __builtin_logf(__x); }

  inline long double

  log(long double __x)

  { return __builtin_logl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    log(_Tp __x)

    { return __builtin_log(__x); }

  using ::log10;

  inline float

  log10(float __x)

  { return __builtin_log10f(__x); }

  inline long double

  log10(long double __x)

  { return __builtin_log10l(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    log10(_Tp __x)

    { return __builtin_log10(__x); }

  using ::modf;

  inline float

  modf(float __x, float* __iptr)

  { return __builtin_modff(__x, __iptr); }

  inline long double

  modf(long double __x, long double* __iptr)

  { return __builtin_modfl(__x, __iptr); }

  using ::pow;

  inline float

  pow(float __x, float __y)

  { return __builtin_powf(__x, __y); }

  inline long double

  pow(long double __x, long double __y)

  { return __builtin_powl(__x, __y); }

#ifndef __GXX_EXPERIMENTAL_CXX0X__

  // _GLIBCXX_RESOLVE_LIB_DEFECTS

  // DR 550. What should the return type of pow(float,int) be?

  inline double

  pow(double __x, int __i)

  { return __builtin_powi(__x, __i); }

  inline float

  pow(float __x, int __n)

  { return __builtin_powif(__x, __n); }

  inline long double

  pow(long double __x, int __n)

  { return __builtin_powil(__x, __n); }

#endif

  template

    inline

    typename __gnu_cxx::__promote_2<

    typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value

                                    && __is_arithmetic<_Up>::__value,

                                    _Tp>::__type, _Up>::__type

    pow(_Tp __x, _Up __y)

    {

      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;

      return pow(__type(__x), __type(__y));

    }

  using ::sin;

  inline float

  sin(float __x)

  { return __builtin_sinf(__x); }

  inline long double

  sin(long double __x)

  { return __builtin_sinl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    sin(_Tp __x)

    { return __builtin_sin(__x); }

  using ::sinh;

  inline float

  sinh(float __x)

  { return __builtin_sinhf(__x); }

  inline long double

  sinh(long double __x)

  { return __builtin_sinhl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    sinh(_Tp __x)

    { return __builtin_sinh(__x); }

  using ::sqrt;

  inline float

  sqrt(float __x)

  { return __builtin_sqrtf(__x); }

  inline long double

  sqrt(long double __x)

  { return __builtin_sqrtl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    sqrt(_Tp __x)

    { return __builtin_sqrt(__x); }

  using ::tan;

  inline float

  tan(float __x)

  { return __builtin_tanf(__x); }

  inline long double

  tan(long double __x)

  { return __builtin_tanl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    tan(_Tp __x)

    { return __builtin_tan(__x); }

  using ::tanh;

  inline float

  tanh(float __x)

  { return __builtin_tanhf(__x); }

  inline long double

  tanh(long double __x)

  { return __builtin_tanhl(__x); }

  template

    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,

                                           double>::__type

    tanh(_Tp __x)

    { return __builtin_tanh(__x); }

_GLIBCXX_END_NAMESPACE

#if _GLIBCXX_USE_C99_MATH

#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC

// These are possible macros imported from C99-land.

#undef fpclassify

#undef isfinite

#undef isinf

#undef isnan

#undef isnormal

#undef signbit

#undef isgreater

#undef isgreaterequal

#undef isless

#undef islessequal

#undef islessgreater

#undef isunordered

_GLIBCXX_BEGIN_NAMESPACE(std)

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    fpclassify(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,

                                  FP_SUBNORMAL, FP_ZERO, __type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isfinite(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isfinite(__type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isinf(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isinf(__type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isnan(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isnan(__type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isnormal(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isnormal(__type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    signbit(_Tp __f)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_signbit(__type(__f));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isgreater(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isgreater(__type(__f1), __type(__f2));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isgreaterequal(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isgreaterequal(__type(__f1), __type(__f2));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isless(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isless(__type(__f1), __type(__f2));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    islessequal(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_islessequal(__type(__f1), __type(__f2));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    islessgreater(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_islessgreater(__type(__f1), __type(__f2));

    }

  template

    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,

                                           int>::__type

    isunordered(_Tp __f1, _Tp __f2)

    {

      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;

      return __builtin_isunordered(__type(__f1), __type(__f2));

    }

_GLIBCXX_END_NAMESPACE

#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */

#endif

#ifndef _GLIBCXX_EXPORT_TEMPLATE

# include 

#endif

#ifdef __GXX_EXPERIMENTAL_CXX0X__

#  if defined(_GLIBCXX_INCLUDE_AS_TR1)

#    error C++0x header cannot be included from TR1 header

#  endif

#  if defined(_GLIBCXX_INCLUDE_AS_CXX0X)

#    include 

#  else

#    define _GLIBCXX_INCLUDE_AS_CXX0X

#    define _GLIBCXX_BEGIN_NAMESPACE_TR1

#    define _GLIBCXX_END_NAMESPACE_TR1

#    define _GLIBCXX_TR1

#    include 

#    undef _GLIBCXX_TR1

#    undef _GLIBCXX_END_NAMESPACE_TR1

#    undef _GLIBCXX_BEGIN_NAMESPACE_TR1

#    undef _GLIBCXX_INCLUDE_AS_CXX0X

#  endif

#endif

#endif