gcc/libstdc++-v3/include/c_std/std_cmath.h

846 lines
21 KiB
C++

// -*- C++ -*- C forwarding header.
// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003
// 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 2, 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.
// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING. If not, write to the Free
// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
// USA.
// As a special exception, you may use this file as part of a free software
// library without restriction. Specifically, if other files instantiate
// templates or use macros or inline functions from this file, or you compile
// this file and link it with other files to produce an executable, this
// file does not by itself cause the resulting executable to be covered by
// the GNU General Public License. This exception does not however
// invalidate any other reasons why the executable file might be covered by
// the GNU General Public License.
//
// ISO C++ 14882: 26.5 C library
//
/** @file cmath
* This is a Standard C++ Library file. You should @c #include this file
* in your programs, rather than any of the "*.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.
*/
#ifndef _GLIBCXX_CMATH
#define _GLIBCXX_CMATH 1
#pragma GCC system_header
#include <bits/c++config.h>
#include <bits/cpp_type_traits.h>
#include <math.h>
// Get rid of those macros defined in <math.h> 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
// ...and in the darkness bind them...
namespace __gnu_cxx
{
namespace __c99_binding
{
#if _GLIBCXX_USE_C99_FLOAT_TRANSCENDENTALS_CHECK || \
_GLIBCXX_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC
extern "C" float (acosf)(float);
extern "C" float (asinf)(float);
extern "C" float (atanf)(float);
extern "C" float (atan2f)(float, float);
extern "C" float (ceilf)(float);
extern "C" float (coshf)(float);
extern "C" float (expf)(float);
extern "C" float (floorf)(float);
extern "C" float (fmodf)(float, float);
extern "C" float (frexpf)(float, int*);
extern "C" float (ldexpf)(float, int);
extern "C" float (logf)(float);
extern "C" float (log10f)(float);
extern "C" float (modff)(float, float*);
extern "C" float (powf)(float, float);
extern "C" float (sinhf)(float);
extern "C" float (tanf)(float);
extern "C" float (tanhf)(float);
#endif
#if !_GLIBCXX_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC
#if _GLIBCXX_HAVE_ACOSF
using ::acosf;
#endif
#if _GLIBCXX_HAVE_ASINF
using ::asinf;
#endif
#if _GLIBCXX_HAVE_ATANF
using ::atanf;
#endif
#if _GLIBCXX_HAVE_ATAN2F
using ::atan2f;
#endif
#if _GLIBCXX_HAVE_CEILF
using ::ceilf;
#endif
#if _GLIBCXX_HAVE_COSHF
using ::coshf;
#endif
#if _GLIBCXX_HAVE_EXPF
using ::expf;
#endif
#if _GLIBCXX_HAVE_FLOORF
using ::floorf;
#endif
#if _GLIBCXX_HAVE_FMODF
using ::fmodf;
#endif
#if _GLIBCXX_HAVE_FREXPF
using ::frexpf;
#endif
#if _GLIBCXX_HAVE_LDEXPF
using ::ldexpf;
#endif
#if _GLIBCXX_HAVE_LOGF
using ::logf;
#endif
#if _GLIBCXX_HAVE_LOG10F
using ::log10f;
#endif
#if _GLIBCXX_HAVE_MODFF
using ::modff;
#endif
#if _GLIBCXX_HAVE_POWF
using ::powf;
#endif
#if _GLIBCXX_HAVE_SINHF
using ::sinhf;
#endif
#if _GLIBCXX_HAVE_TANF
using ::tanf;
#endif
#if _GLIBCXX_HAVE_TANHF
using ::tanhf;
#endif
#endif /* _GLIBCXX_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC */
}
}
namespace std
{
// Forward declaration of a helper function. This really should be
// an `exported' forward declaration.
template<typename _Tp> _Tp __cmath_power(_Tp, unsigned int);
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); }
#if _GLIBCXX_HAVE_ACOSF
inline float
acos(float __x) { return __gnu_cxx::__c99_binding::acosf(__x); }
#else
inline float
acos(float __x) { return ::acos(static_cast<double>(__x)); }
#endif
using ::acos;
#if _GLIBCXX_HAVE_ACOSL
inline long double
acos(long double __x) { return ::acosl(__x); }
#else
inline long double
acos(long double __x) { return ::acos(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
acos(_Tp __x)
{
return ::acos(static_cast<double>(__x));
}
using ::asin;
#if _GLIBCXX_HAVE_ASINF
inline float
asin(float __x) { return __gnu_cxx::__c99_binding::asinf(__x); }
#else
inline float
asin(float __x) { return ::asin(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_ASINL
inline long double
asin(long double __x) { return ::asinl(__x); }
#else
inline long double
asin(long double __x) { return ::asin(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
asin(_Tp __x)
{ return ::asin(static_cast<double>(__x)); }
using ::atan;
#if _GLIBCXX_HAVE_ATANF
inline float
atan(float __x) { return __gnu_cxx::__c99_binding::atanf(__x); }
#else
inline float
atan(float __x) { return ::atan(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_ATANL
inline long double
atan(long double __x) { return ::atanl(__x); }
#else
inline long double
atan(long double __x) { return ::atan(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
atan(_Tp __x)
{ return ::atan(static_cast<double>(__x)); }
using ::atan2;
#if _GLIBCXX_HAVE_ATAN2F
inline float
atan2(float __y, float __x) { return __gnu_cxx::__c99_binding::atan2f(__y, __x); }
#else
inline float
atan2(float __y, float __x)
{ return ::atan2(static_cast<double>(__y), static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_ATAN2L
inline long double
atan2(long double __y, long double __x) { return ::atan2l(__y, __x); }
#else
inline long double
atan2(long double __y, long double __x)
{ return ::atan2(static_cast<double>(__y), static_cast<double>(__x)); }
#endif
template<typename _Tp, typename _Up>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type
&& __is_integer<_Up>::_M_type>::_M_type
atan2(_Tp __x, _Up __y)
{ return ::atan2(static_cast<double>(__x), static_cast<double>(__y)); }
using ::ceil;
#if _GLIBCXX_HAVE_CEILF
inline float
ceil(float __x) { return __gnu_cxx::__c99_binding::ceilf(__x); }
#else
inline float
ceil(float __x) { return ::ceil(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_CEILL
inline long double
ceil(long double __x) { return ::ceill(__x); }
#else
inline long double
ceil(long double __x) { return ::ceil(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
ceil(_Tp __x)
{ return ::ceil(static_cast<double>(__x)); }
using ::cos;
inline float
cos(float __x)
{ return __builtin_cosf(__x); }
inline long double
cos(long double __x)
{ return __builtin_cosl(__x); }
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
cos(_Tp __x)
{ return __builtin_cos(__x); }
using ::cosh;
#if _GLIBCXX_HAVE_COSHF
inline float
cosh(float __x) { return __gnu_cxx::__c99_binding::coshf(__x); }
#else
inline float
cosh(float __x) { return ::cosh(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_COSHL
inline long double
cosh(long double __x) { return ::coshl(__x); }
#else
inline long double
cosh(long double __x) { return ::cosh(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
cosh(_Tp __x)
{ return ::cosh(static_cast<double>(__x)); }
using ::exp;
#if _GLIBCXX_HAVE_EXPF
inline float
exp(float __x) { return __gnu_cxx::__c99_binding::expf(__x); }
#else
inline float
exp(float __x) { return ::exp(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_EXPL
inline long double
exp(long double __x) { return ::expl(__x); }
#else
inline long double
exp(long double __x) { return ::exp(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
exp(_Tp __x)
{ return ::exp(static_cast<double>(__x)); }
using ::fabs;
inline float
fabs(float __x)
{ return __builtin_fabsf(__x); }
inline long double
fabs(long double __x)
{ return __builtin_fabsl(__x); }
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
fabs(_Tp __x)
{ return __builtin_fabs(__x); }
using ::floor;
#if _GLIBCXX_HAVE_FLOORF
inline float
floor(float __x) { return __gnu_cxx::__c99_binding::floorf(__x); }
#else
inline float
floor(float __x) { return ::floor(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_FLOORL
inline long double
floor(long double __x) { return ::floorl(__x); }
#else
inline long double
floor(long double __x) { return ::floor(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
floor(_Tp __x)
{ return ::floor(static_cast<double>(__x)); }
using ::fmod;
#if _GLIBCXX_HAVE_FMODF
inline float
fmod(float __x, float __y) { return __gnu_cxx::__c99_binding::fmodf(__x, __y); }
#else
inline float
fmod(float __x, float __y)
{ return ::fmod(static_cast<double>(__x), static_cast<double>(__y)); }
#endif
#if _GLIBCXX_HAVE_FMODL
inline long double
fmod(long double __x, long double __y) { return ::fmodl(__x, __y); }
#else
inline long double
fmod(long double __x, long double __y)
{ return ::fmod(static_cast<double>(__x), static_cast<double>(__y)); }
#endif
using ::frexp;
#if _GLIBCXX_HAVE_FREXPF
inline float
frexp(float __x, int* __exp) { return __gnu_cxx::__c99_binding::frexpf(__x, __exp); }
#else
inline float
frexp(float __x, int* __exp) { return ::frexp(__x, __exp); }
#endif
#if _GLIBCXX_HAVE_FREXPL
inline long double
frexp(long double __x, int* __exp) { return ::frexpl(__x, __exp); }
#else
inline long double
frexp(long double __x, int* __exp)
{ return ::frexp(static_cast<double>(__x), __exp); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
frexp(_Tp __x, int* __exp)
{ return ::frexp(static_cast<double>(__x), __exp); }
using ::ldexp;
#if _GLIBCXX_HAVE_LDEXPF
inline float
ldexp(float __x, int __exp) { return __gnu_cxx::__c99_binding::ldexpf(__x, __exp); }
#else
inline float
ldexp(float __x, int __exp)
{ return ::ldexp(static_cast<double>(__x), __exp); }
#endif
#if _GLIBCXX_HAVE_LDEXPL
inline long double
ldexp(long double __x, int __exp) { return ::ldexpl(__x, __exp); }
#else
inline long double
ldexp(long double __x, int __exp)
{ return ::ldexp(static_cast<double>(__x), __exp); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
ldexp(_Tp __x, int __exp)
{ return ::ldexp(static_cast<double>(__x), __exp); }
using ::log;
#if _GLIBCXX_HAVE_LOGF
inline float
log(float __x) { return __gnu_cxx::__c99_binding::logf(__x); }
#else
inline float log(float __x)
{ return ::log(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_LOGL
inline long double
log(long double __x) { return ::logl(__x); }
#else
inline long double
log(long double __x) { return ::log(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
log(_Tp __x)
{ return ::log(static_cast<double>(__x)); }
using ::log10;
#if _GLIBCXX_HAVE_LOG10F
inline float
log10(float __x) { return __gnu_cxx::__c99_binding::log10f(__x); }
#else
inline float
log10(float __x) { return ::log10(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_LOG10L
inline long double
log10(long double __x) { return ::log10l(__x); }
#else
inline long double
log10(long double __x) { return ::log10(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
log10(_Tp __x)
{ return ::log10(static_cast<double>(__x)); }
using ::modf;
#if _GLIBCXX_HAVE_MODFF
inline float
modf(float __x, float* __iptr) { return __gnu_cxx::__c99_binding::modff(__x, __iptr); }
#else
inline float
modf(float __x, float* __iptr)
{
double __tmp;
double __res = ::modf(static_cast<double>(__x), &__tmp);
*__iptr = static_cast<float>(__tmp);
return __res;
}
#endif
#if _GLIBCXX_HAVE_MODFL
inline long double
modf(long double __x, long double* __iptr) { return ::modfl(__x, __iptr); }
#else
inline long double
modf(long double __x, long double* __iptr)
{
double __tmp;
double __res = ::modf(static_cast<double>(__x), &__tmp);
* __iptr = static_cast<long double>(__tmp);
return __res;
}
#endif
template<typename _Tp>
inline _Tp
__pow_helper(_Tp __x, int __n)
{
return __n < 0
? _Tp(1)/__cmath_power(__x, -__n)
: __cmath_power(__x, __n);
}
using ::pow;
#if _GLIBCXX_HAVE_POWF
inline float
pow(float __x, float __y) { return __gnu_cxx::__c99_binding::powf(__x, __y); }
#else
inline float
pow(float __x, float __y)
{ return ::pow(static_cast<double>(__x), static_cast<double>(__y)); }
#endif
#if _GLIBCXX_HAVE_POWL
inline long double
pow(long double __x, long double __y) { return ::powl(__x, __y); }
#else
inline long double
pow(long double __x, long double __y)
{ return ::pow(static_cast<double>(__x), static_cast<double>(__y)); }
#endif
inline double
pow(double __x, int __i)
{ return __pow_helper(__x, __i); }
inline float
pow(float __x, int __n)
{ return __pow_helper(__x, __n); }
inline long double
pow(long double __x, int __n)
{ return __pow_helper(__x, __n); }
using ::sin;
inline float
sin(float __x)
{ return __builtin_sinf(__x); }
inline long double
sin(long double __x)
{ return __builtin_sinl(__x); }
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
sin(_Tp __x)
{ return __builtin_sin(__x); }
using ::sinh;
#if _GLIBCXX_HAVE_SINHF
inline float
sinh(float __x) { return __gnu_cxx::__c99_binding::sinhf(__x); }
#else
inline float
sinh(float __x) { return ::sinh(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_SINHL
inline long double
sinh(long double __x) { return ::sinhl(__x); }
#else
inline long double
sinh(long double __x) { return ::sinh(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
sinh(_Tp __x)
{ return ::sinh(static_cast<_Tp>(__x)); }
using ::sqrt;
inline float
sqrt(float __x)
{ return __builtin_sqrtf(__x); }
inline long double
sqrt(long double __x)
{ return __builtin_sqrtl(__x); }
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
sqrt(_Tp __x)
{ return __builtin_sqrt(__x); }
using ::tan;
#if _GLIBCXX_HAVE_TANF
inline float
tan(float __x) { return __gnu_cxx::__c99_binding::tanf(__x); }
#else
inline float
tan(float __x) { return ::tan(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_TANL
inline long double
tan(long double __x) { return ::tanl(__x); }
#else
inline long double
tan(long double __x) { return ::tan(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
tan(_Tp __x)
{ return ::tan(static_cast<double>(__x)); }
using ::tanh;
#if _GLIBCXX_HAVE_TANHF
inline float
tanh(float __x) { return __gnu_cxx::__c99_binding::tanhf(__x); }
#else
inline float
tanh(float __x) { return ::tanh(static_cast<double>(__x)); }
#endif
#if _GLIBCXX_HAVE_TANHL
inline long double
tanh(long double __x) { return ::tanhl(__x); }
#else
inline long double
tanh(long double __x) { return ::tanh(static_cast<double>(__x)); }
#endif
template<typename _Tp>
inline typename __enable_if<double, __is_integer<_Tp>::_M_type>::_M_type
tanh(_Tp __x)
{ return ::tanh(static_cast<double>(__x)); }
}
#if _GLIBCXX_USE_C99
#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
// These are possible macros imported from C99-land. For strict
// conformance, remove possible C99-injected names from the global
// namespace, and sequester them in the __gnu_cxx extension namespace.
namespace __gnu_cxx
{
template<typename _Tp>
int
__capture_fpclassify(_Tp __f) { return fpclassify(__f); }
template<typename _Tp>
int
__capture_isfinite(_Tp __f) { return isfinite(__f); }
template<typename _Tp>
int
__capture_isinf(_Tp __f) { return isinf(__f); }
template<typename _Tp>
int
__capture_isnan(_Tp __f) { return isnan(__f); }
template<typename _Tp>
int
__capture_isnormal(_Tp __f) { return isnormal(__f); }
template<typename _Tp>
int
__capture_signbit(_Tp __f) { return signbit(__f); }
template<typename _Tp>
int
__capture_isgreater(_Tp __f1, _Tp __f2)
{ return isgreater(__f1, __f2); }
template<typename _Tp>
int
__capture_isgreaterequal(_Tp __f1, _Tp __f2)
{ return isgreaterequal(__f1, __f2); }
template<typename _Tp>
int
__capture_isless(_Tp __f1, _Tp __f2) { return isless(__f1, __f2); }
template<typename _Tp>
int
__capture_islessequal(_Tp __f1, _Tp __f2)
{ return islessequal(__f1, __f2); }
template<typename _Tp>
int
__capture_islessgreater(_Tp __f1, _Tp __f2)
{ return islessgreater(__f1, __f2); }
template<typename _Tp>
int
__capture_isunordered(_Tp __f1, _Tp __f2)
{ return isunordered(__f1, __f2); }
}
// Only undefine the C99 FP macros, if actually captured for namespace movement
#undef fpclassify
#undef isfinite
#undef isinf
#undef isnan
#undef isnormal
#undef signbit
#undef isgreater
#undef isgreaterequal
#undef isless
#undef islessequal
#undef islessgreater
#undef isunordered
#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
#endif
#if _GLIBCXX_USE_C99
#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
namespace __gnu_cxx
{
template<typename _Tp>
int
fpclassify(_Tp __f) { return __capture_fpclassify(__f); }
template<typename _Tp>
int
isfinite(_Tp __f) { return __capture_isfinite(__f); }
template<typename _Tp>
int
isinf(_Tp __f) { return __capture_isinf(__f); }
template<typename _Tp>
int
isnan(_Tp __f) { return __capture_isnan(__f); }
template<typename _Tp>
int
isnormal(_Tp __f) { return __capture_isnormal(__f); }
template<typename _Tp>
int
signbit(_Tp __f) { return __capture_signbit(__f); }
template<typename _Tp>
int
isgreater(_Tp __f1, _Tp __f2) { return __capture_isgreater(__f1, __f2); }
template<typename _Tp>
int
isgreaterequal(_Tp __f1, _Tp __f2)
{ return __capture_isgreaterequal(__f1, __f2); }
template<typename _Tp>
int
isless(_Tp __f1, _Tp __f2) { return __capture_isless(__f1, __f2); }
template<typename _Tp>
int
islessequal(_Tp __f1, _Tp __f2)
{ return __capture_islessequal(__f1, __f2); }
template<typename _Tp>
int
islessgreater(_Tp __f1, _Tp __f2)
{ return __capture_islessgreater(__f1, __f2); }
template<typename _Tp>
int
isunordered(_Tp __f1, _Tp __f2)
{ return __capture_isunordered(__f1, __f2); }
}
namespace std
{
using __gnu_cxx::fpclassify;
using __gnu_cxx::isfinite;
using __gnu_cxx::isinf;
using __gnu_cxx::isnan;
using __gnu_cxx::isnormal;
using __gnu_cxx::signbit;
using __gnu_cxx::isgreater;
using __gnu_cxx::isgreaterequal;
using __gnu_cxx::isless;
using __gnu_cxx::islessequal;
using __gnu_cxx::islessgreater;
using __gnu_cxx::isunordered;
}
#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
#endif
#ifndef _GLIBCXX_EXPORT_TEMPLATE
# include <bits/cmath.tcc>
#endif
#endif