| // -*- 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 |
| // <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> |
| #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); } |
| |
| template<typename _Tp> |
| 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<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 |
