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- // -*- C++ -*- C forwarding header.
- // Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
- // 2006, 2007, 2008, 2009
- // 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 "*.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>
- #include <math.h>
- #ifndef _GLIBCXX_CMATH
- #define _GLIBCXX_CMATH 1
- // 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
- _GLIBCXX_BEGIN_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);
- template<typename _Tp>
- 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); }
- using ::acos;
- inline float
- acos(float __x)
- { return __builtin_acosf(__x); }
- inline long double
- acos(long double __x)
- { return __builtin_acosl(__x); }
- template<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp, typename _Up>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp, typename _Up>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<typename _Tp>
- 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<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;
- return __builtin_isunordered(__type(__f1), __type(__f2));
- }
- _GLIBCXX_END_NAMESPACE
- #endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
- #endif
- #ifndef _GLIBCXX_EXPORT_TEMPLATE
- # include <bits/cmath.tcc>
- #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 <tr1_impl/cmath>
- # else
- # define _GLIBCXX_INCLUDE_AS_CXX0X
- # define _GLIBCXX_BEGIN_NAMESPACE_TR1
- # define _GLIBCXX_END_NAMESPACE_TR1
- # define _GLIBCXX_TR1
- # include <tr1_impl/cmath>
- # undef _GLIBCXX_TR1
- # undef _GLIBCXX_END_NAMESPACE_TR1
- # undef _GLIBCXX_BEGIN_NAMESPACE_TR1
- # undef _GLIBCXX_INCLUDE_AS_CXX0X
- # endif
- #endif
- #endif
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