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cmath
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// -*- C++ -*- C forwarding header.
// Copyright (C) 1997-2020 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
// <http://www.gnu.org/licenses/>.
/** @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 <bits/c++config.h>
#include <bits/cpp_type_traits.h>
#include <ext/type_traits.h>
#define _GLIBCXX_INCLUDE_NEXT_C_HEADERS
#include_next <math.h>
#undef _GLIBCXX_INCLUDE_NEXT_C_HEADERS
#include <bits/std_abs.h>
#ifndef _GLIBCXX_CMATH
#define _GLIBCXX_CMATH 1
// Get rid of those macros defined in <math.h> in lieu of real functions.
#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
// Fix float math functions defined as macros in avr libc
#ifdef __AVR__
#undef cosf
#undef sinf
#undef tanf
#undef fabsf
#undef fmodf
#undef cbrtf
#undef hypotf
#undef squaref
#undef floorf
#undef ceilf
#undef frexpf
#undef ldexpf
#undef expf
#undef coshf
#undef sinhf
#undef tanhf
#undef acosf
#undef asinf
#undef atanf
#undef atan2f
#undef logf
#undef log10f
#undef powf
#undef isnanf
#undef isinff
#undef isfinitef
#undef copysignf
#undef signbitf
#undef fdimf
#undef fmaf
#undef fmaxf
#undef fminf
#undef truncf
#undef roundf
#undef lroundf
#undef lrintf
extern "C"
{
float cosf(float x);
float sinf(float x);
float tanf(float x);
float fabsf(float x);
float fmodf(float x, float y);
float cbrtf(float x);
float hypotf(float x, float y);
float squaref(float x);
float floorf(float x);
float ceilf(float x);
float frexpf(float value, int* exp);
float ldexpf(float x, int exp);
float expf(float x);
float coshf(float x);
float sinhf(float x);
float tanhf(float x);
float acosf(float x);
float asinf(float x);
float atanf(float x);
float atan2f(float y, float x);
float logf(float x);
float log10f(float x);
float powf(float x, float y);
int isnanf(float x);
int isinff(float x);
int isfinitef(float x);
float copysignf(float x, float y);
int signbitf(float x);
float fdimf(float x, float y);
float fmaf(float x, float y, float z);
float fmaxf(float x, float y);
float fminf(float x, float y);
float truncf(float x);
float roundf(float x);
long lroundf(float x);
long lrintf(float x);
} // extern "C"
#endif // __AVR__
extern "C++"
{
namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
using ::acos;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
acos(float __x)
{ return __builtin_acosf(__x); }
inline _GLIBCXX_CONSTEXPR long double
acos(long double __x)
{ return __builtin_acosl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
acos(_Tp __x)
{ return __builtin_acos(__x); }
using ::asin;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
asin(float __x)
{ return __builtin_asinf(__x); }
inline _GLIBCXX_CONSTEXPR long double
asin(long double __x)
{ return __builtin_asinl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
asin(_Tp __x)
{ return __builtin_asin(__x); }
using ::atan;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
atan(float __x)
{ return __builtin_atanf(__x); }
inline _GLIBCXX_CONSTEXPR long double
atan(long double __x)
{ return __builtin_atanl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
atan(_Tp __x)
{ return __builtin_atan(__x); }
using ::atan2;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
atan2(float __y, float __x)
{ return __builtin_atan2f(__y, __x); }
inline _GLIBCXX_CONSTEXPR long double
atan2(long double __y, long double __x)
{ return __builtin_atan2l(__y, __x); }
#endif
template<typename _Tp, typename _Up>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__promote_2<_Tp, _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;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
ceil(float __x)
{ return __builtin_ceilf(__x); }
inline _GLIBCXX_CONSTEXPR long double
ceil(long double __x)
{ return __builtin_ceill(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
ceil(_Tp __x)
{ return __builtin_ceil(__x); }
using ::cos;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
cos(float __x)
{ return __builtin_cosf(__x); }
inline _GLIBCXX_CONSTEXPR long double
cos(long double __x)
{ return __builtin_cosl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
cos(_Tp __x)
{ return __builtin_cos(__x); }
using ::cosh;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
cosh(float __x)
{ return __builtin_coshf(__x); }
inline _GLIBCXX_CONSTEXPR long double
cosh(long double __x)
{ return __builtin_coshl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
cosh(_Tp __x)
{ return __builtin_cosh(__x); }
using ::exp;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
exp(float __x)
{ return __builtin_expf(__x); }
inline _GLIBCXX_CONSTEXPR long double
exp(long double __x)
{ return __builtin_expl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
exp(_Tp __x)
{ return __builtin_exp(__x); }
using ::fabs;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
fabs(float __x)
{ return __builtin_fabsf(__x); }
inline _GLIBCXX_CONSTEXPR long double
fabs(long double __x)
{ return __builtin_fabsl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
fabs(_Tp __x)
{ return __builtin_fabs(__x); }
using ::floor;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
floor(float __x)
{ return __builtin_floorf(__x); }
inline _GLIBCXX_CONSTEXPR long double
floor(long double __x)
{ return __builtin_floorl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
floor(_Tp __x)
{ return __builtin_floor(__x); }
using ::fmod;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
fmod(float __x, float __y)
{ return __builtin_fmodf(__x, __y); }
inline _GLIBCXX_CONSTEXPR long double
fmod(long double __x, long double __y)
{ return __builtin_fmodl(__x, __y); }
#endif
template<typename _Tp, typename _Up>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
fmod(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return fmod(__type(__x), __type(__y));
}
using ::frexp;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
frexp(_Tp __x, int* __exp)
{ return __builtin_frexp(__x, __exp); }
using ::ldexp;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
ldexp(float __x, int __exp)
{ return __builtin_ldexpf(__x, __exp); }
inline _GLIBCXX_CONSTEXPR long double
ldexp(long double __x, int __exp)
{ return __builtin_ldexpl(__x, __exp); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
ldexp(_Tp __x, int __exp)
{ return __builtin_ldexp(__x, __exp); }
using ::log;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
log(float __x)
{ return __builtin_logf(__x); }
inline _GLIBCXX_CONSTEXPR long double
log(long double __x)
{ return __builtin_logl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
log(_Tp __x)
{ return __builtin_log(__x); }
using ::log10;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
log10(float __x)
{ return __builtin_log10f(__x); }
inline _GLIBCXX_CONSTEXPR long double
log10(long double __x)
{ return __builtin_log10l(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
log10(_Tp __x)
{ return __builtin_log10(__x); }
using ::modf;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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); }
#endif
using ::pow;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
pow(float __x, float __y)
{ return __builtin_powf(__x, __y); }
inline _GLIBCXX_CONSTEXPR long double
pow(long double __x, long double __y)
{ return __builtin_powl(__x, __y); }
#if __cplusplus < 201103L
// _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
#endif
template<typename _Tp, typename _Up>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__promote_2<_Tp, _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;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
sin(float __x)
{ return __builtin_sinf(__x); }
inline _GLIBCXX_CONSTEXPR long double
sin(long double __x)
{ return __builtin_sinl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
sin(_Tp __x)
{ return __builtin_sin(__x); }
using ::sinh;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
sinh(float __x)
{ return __builtin_sinhf(__x); }
inline _GLIBCXX_CONSTEXPR long double
sinh(long double __x)
{ return __builtin_sinhl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
sinh(_Tp __x)
{ return __builtin_sinh(__x); }
using ::sqrt;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
sqrt(float __x)
{ return __builtin_sqrtf(__x); }
inline _GLIBCXX_CONSTEXPR long double
sqrt(long double __x)
{ return __builtin_sqrtl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
sqrt(_Tp __x)
{ return __builtin_sqrt(__x); }
using ::tan;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
tan(float __x)
{ return __builtin_tanf(__x); }
inline _GLIBCXX_CONSTEXPR long double
tan(long double __x)
{ return __builtin_tanl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
tan(_Tp __x)
{ return __builtin_tan(__x); }
using ::tanh;
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
inline _GLIBCXX_CONSTEXPR float
tanh(float __x)
{ return __builtin_tanhf(__x); }
inline _GLIBCXX_CONSTEXPR long double
tanh(long double __x)
{ return __builtin_tanhl(__x); }
#endif
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR
typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
double>::__type
tanh(_Tp __x)
{ return __builtin_tanh(__x); }
#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
#if __cplusplus >= 201103L
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isfinite(float __x)
{ return __builtin_isfinite(__x); }
constexpr bool
isfinite(double __x)
{ return __builtin_isfinite(__x); }
constexpr bool
isfinite(long double __x)
{ return __builtin_isfinite(__x); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp>
constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
bool>::__type
isfinite(_Tp __x)
{ return true; }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isinf(float __x)
{ return __builtin_isinf(__x); }
#if _GLIBCXX_HAVE_OBSOLETE_ISINF \
&& !_GLIBCXX_NO_OBSOLETE_ISINF_ISNAN_DYNAMIC
using ::isinf;
#else
constexpr bool
isinf(double __x)
{ return __builtin_isinf(__x); }
#endif
constexpr bool
isinf(long double __x)
{ return __builtin_isinf(__x); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp>
constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
bool>::__type
isinf(_Tp __x)
{ return false; }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isnan(float __x)
{ return __builtin_isnan(__x); }
#if _GLIBCXX_HAVE_OBSOLETE_ISNAN \
&& !_GLIBCXX_NO_OBSOLETE_ISINF_ISNAN_DYNAMIC
using ::isnan;
#else
constexpr bool
isnan(double __x)
{ return __builtin_isnan(__x); }
#endif
constexpr bool
isnan(long double __x)
{ return __builtin_isnan(__x); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp>
constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
bool>::__type
isnan(_Tp __x)
{ return false; }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isnormal(float __x)
{ return __builtin_isnormal(__x); }
constexpr bool
isnormal(double __x)
{ return __builtin_isnormal(__x); }
constexpr bool
isnormal(long double __x)
{ return __builtin_isnormal(__x); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp>
constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
bool>::__type
isnormal(_Tp __x)
{ return __x != 0 ? true : false; }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
// Note: middle-end/36757 is fixed, __builtin_signbit is type-generic.
constexpr bool
signbit(float __x)
{ return __builtin_signbit(__x); }
constexpr bool
signbit(double __x)
{ return __builtin_signbit(__x); }
constexpr bool
signbit(long double __x)
{ return __builtin_signbit(__x); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp>
constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
bool>::__type
signbit(_Tp __x)
{ return __x < 0 ? true : false; }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isgreater(float __x, float __y)
{ return __builtin_isgreater(__x, __y); }
constexpr bool
isgreater(double __x, double __y)
{ return __builtin_isgreater(__x, __y); }
constexpr bool
isgreater(long double __x, long double __y)
{ return __builtin_isgreater(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
isgreater(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_isgreater(__type(__x), __type(__y));
}
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isgreaterequal(float __x, float __y)
{ return __builtin_isgreaterequal(__x, __y); }
constexpr bool
isgreaterequal(double __x, double __y)
{ return __builtin_isgreaterequal(__x, __y); }
constexpr bool
isgreaterequal(long double __x, long double __y)
{ return __builtin_isgreaterequal(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
isgreaterequal(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_isgreaterequal(__type(__x), __type(__y));
}
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isless(float __x, float __y)
{ return __builtin_isless(__x, __y); }
constexpr bool
isless(double __x, double __y)
{ return __builtin_isless(__x, __y); }
constexpr bool
isless(long double __x, long double __y)
{ return __builtin_isless(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
isless(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_isless(__type(__x), __type(__y));
}
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
islessequal(float __x, float __y)
{ return __builtin_islessequal(__x, __y); }
constexpr bool
islessequal(double __x, double __y)
{ return __builtin_islessequal(__x, __y); }
constexpr bool
islessequal(long double __x, long double __y)
{ return __builtin_islessequal(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
islessequal(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_islessequal(__type(__x), __type(__y));
}
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
islessgreater(float __x, float __y)
{ return __builtin_islessgreater(__x, __y); }
constexpr bool
islessgreater(double __x, double __y)
{ return __builtin_islessgreater(__x, __y); }
constexpr bool
islessgreater(long double __x, long double __y)
{ return __builtin_islessgreater(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
islessgreater(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_islessgreater(__type(__x), __type(__y));
}
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
constexpr bool
isunordered(float __x, float __y)
{ return __builtin_isunordered(__x, __y); }
constexpr bool
isunordered(double __x, double __y)
{ return __builtin_isunordered(__x, __y); }
constexpr bool
isunordered(long double __x, long double __y)
{ return __builtin_isunordered(__x, __y); }
#endif
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
template<typename _Tp, typename _Up>
constexpr typename
__gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
&& __is_arithmetic<_Up>::__value), bool>::__type
isunordered(_Tp __x, _Up __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return __builtin_isunordered(__type(__x), __type(__y));
}
#endif
#else
template<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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<typename _Tp>
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;