--- /dev/null
+// -*- 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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