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gcc/libstdc++-v3/include/tr1_impl/complex
Paolo Carlini 774c3d8647 cmath (pow(float, int), [...]): Do not define in C++0x mode, per DR 550. 
2008-05-26  Paolo Carlini  <paolo.carlini@oracle.com>

	* include/c_global/cmath (pow(float, int), pow(double, int),
	pow(long double, int)): Do not define in C++0x mode, per DR 550.
	* include/tr1_impl/cmath (pow): Do not bring in unconditionally
	from namespace std.
	* include/tr1/cmath (pow(double, double), pow(float, float),
	pow(long double, long double), pow(_Tp, _Up)): Define.
	* include/tr1/complex (pow): Do not bring in from namespace std.
	(pow(const std::complex<_Tp>&, int), pow(const std::complex<_Tp>&,
	const _Tp&), pow(const _Tp&, const std::complex<_Tp>&),
	pow(const std::complex<_Tp>&, const std::complex<_Tp>&)): Define.
	* include/tr1_impl/complex (pow(const std::complex<_Tp>&,
	const _Up&), pow(const _Tp&, const std::complex<_Up>&),
	pow(const std::complex<_Tp>&, const std::complex<_Up>&)): Always
	define.
	* doc/xml/manual/intro.xml: Add an entry for DR 550.
	* testsuite/26_numerics/headers/cmath/dr550.cc: New.
	* testsuite/tr1/8_c_compatibility/cmath/overloads.cc: Adjust.

From-SVN: r135955
2008-05-26 19:18:24 +00:00

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// TR1 complex -*- C++ -*-
// Copyright (C) 2007, 2008 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, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
// 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.
/** @file tr1_impl/complex
* This is an internal header file, included by other library headers.
* You should not attempt to use it directly.
*/
namespace std
{
_GLIBCXX_BEGIN_NAMESPACE_TR1
// Forward declarations.
template<typename _Tp> std::complex<_Tp> acos(const std::complex<_Tp>&);
template<typename _Tp> std::complex<_Tp> asin(const std::complex<_Tp>&);
template<typename _Tp> std::complex<_Tp> atan(const std::complex<_Tp>&);
template<typename _Tp> std::complex<_Tp> acosh(const std::complex<_Tp>&);
template<typename _Tp> std::complex<_Tp> asinh(const std::complex<_Tp>&);
template<typename _Tp> std::complex<_Tp> atanh(const std::complex<_Tp>&);
#ifdef _GLIBCXX_INCLUDE_AS_CXX0X
// DR 595.
template<typename _Tp> _Tp fabs(const std::complex<_Tp>&);
#else
template<typename _Tp> std::complex<_Tp> fabs(const std::complex<_Tp>&);
#endif
/// acos(__z) [8.1.2].
// Effects: Behaves the same as C99 function cacos, defined
// in subclause 7.3.5.1.
template<typename _Tp>
inline std::complex<_Tp>
__complex_acos(const std::complex<_Tp>& __z)
{
const std::complex<_Tp> __t = std::_GLIBCXX_TR1 asin(__z);
const _Tp __pi_2 = 1.5707963267948966192313216916397514L;
return std::complex<_Tp>(__pi_2 - __t.real(), -__t.imag());
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_acos(__complex__ float __z)
{ return __builtin_cacosf(__z); }
inline __complex__ double
__complex_acos(__complex__ double __z)
{ return __builtin_cacos(__z); }
inline __complex__ long double
__complex_acos(const __complex__ long double& __z)
{ return __builtin_cacosl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
acos(const std::complex<_Tp>& __z)
{ return __complex_acos(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
acos(const std::complex<_Tp>& __z)
{ return __complex_acos(__z); }
#endif
/// asin(__z) [8.1.3].
// Effects: Behaves the same as C99 function casin, defined
// in subclause 7.3.5.2.
template<typename _Tp>
inline std::complex<_Tp>
__complex_asin(const std::complex<_Tp>& __z)
{
std::complex<_Tp> __t(-__z.imag(), __z.real());
__t = std::_GLIBCXX_TR1 asinh(__t);
return std::complex<_Tp>(__t.imag(), -__t.real());
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_asin(__complex__ float __z)
{ return __builtin_casinf(__z); }
inline __complex__ double
__complex_asin(__complex__ double __z)
{ return __builtin_casin(__z); }
inline __complex__ long double
__complex_asin(const __complex__ long double& __z)
{ return __builtin_casinl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
asin(const std::complex<_Tp>& __z)
{ return __complex_asin(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
asin(const std::complex<_Tp>& __z)
{ return __complex_asin(__z); }
#endif
/// atan(__z) [8.1.4].
// Effects: Behaves the same as C99 function catan, defined
// in subclause 7.3.5.3.
template<typename _Tp>
std::complex<_Tp>
__complex_atan(const std::complex<_Tp>& __z)
{
const _Tp __r2 = __z.real() * __z.real();
const _Tp __x = _Tp(1.0) - __r2 - __z.imag() * __z.imag();
_Tp __num = __z.imag() + _Tp(1.0);
_Tp __den = __z.imag() - _Tp(1.0);
__num = __r2 + __num * __num;
__den = __r2 + __den * __den;
return std::complex<_Tp>(_Tp(0.5) * atan2(_Tp(2.0) * __z.real(), __x),
_Tp(0.25) * log(__num / __den));
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_atan(__complex__ float __z)
{ return __builtin_catanf(__z); }
inline __complex__ double
__complex_atan(__complex__ double __z)
{ return __builtin_catan(__z); }
inline __complex__ long double
__complex_atan(const __complex__ long double& __z)
{ return __builtin_catanl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
atan(const std::complex<_Tp>& __z)
{ return __complex_atan(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
atan(const std::complex<_Tp>& __z)
{ return __complex_atan(__z); }
#endif
/// acosh(__z) [8.1.5].
// Effects: Behaves the same as C99 function cacosh, defined
// in subclause 7.3.6.1.
template<typename _Tp>
std::complex<_Tp>
__complex_acosh(const std::complex<_Tp>& __z)
{
std::complex<_Tp> __t((__z.real() - __z.imag())
* (__z.real() + __z.imag()) - _Tp(1.0),
_Tp(2.0) * __z.real() * __z.imag());
__t = std::sqrt(__t);
return std::log(__t + __z);
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_acosh(__complex__ float __z)
{ return __builtin_cacoshf(__z); }
inline __complex__ double
__complex_acosh(__complex__ double __z)
{ return __builtin_cacosh(__z); }
inline __complex__ long double
__complex_acosh(const __complex__ long double& __z)
{ return __builtin_cacoshl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
acosh(const std::complex<_Tp>& __z)
{ return __complex_acosh(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
acosh(const std::complex<_Tp>& __z)
{ return __complex_acosh(__z); }
#endif
/// asinh(__z) [8.1.6].
// Effects: Behaves the same as C99 function casin, defined
// in subclause 7.3.6.2.
template<typename _Tp>
std::complex<_Tp>
__complex_asinh(const std::complex<_Tp>& __z)
{
std::complex<_Tp> __t((__z.real() - __z.imag())
* (__z.real() + __z.imag()) + _Tp(1.0),
_Tp(2.0) * __z.real() * __z.imag());
__t = std::sqrt(__t);
return std::log(__t + __z);
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_asinh(__complex__ float __z)
{ return __builtin_casinhf(__z); }
inline __complex__ double
__complex_asinh(__complex__ double __z)
{ return __builtin_casinh(__z); }
inline __complex__ long double
__complex_asinh(const __complex__ long double& __z)
{ return __builtin_casinhl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
asinh(const std::complex<_Tp>& __z)
{ return __complex_asinh(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
asinh(const std::complex<_Tp>& __z)
{ return __complex_asinh(__z); }
#endif
/// atanh(__z) [8.1.7].
// Effects: Behaves the same as C99 function catanh, defined
// in subclause 7.3.6.3.
template<typename _Tp>
std::complex<_Tp>
__complex_atanh(const std::complex<_Tp>& __z)
{
const _Tp __i2 = __z.imag() * __z.imag();
const _Tp __x = _Tp(1.0) - __i2 - __z.real() * __z.real();
_Tp __num = _Tp(1.0) + __z.real();
_Tp __den = _Tp(1.0) - __z.real();
__num = __i2 + __num * __num;
__den = __i2 + __den * __den;
return std::complex<_Tp>(_Tp(0.25) * (log(__num) - log(__den)),
_Tp(0.5) * atan2(_Tp(2.0) * __z.imag(), __x));
}
#if _GLIBCXX_USE_C99_COMPLEX_TR1
inline __complex__ float
__complex_atanh(__complex__ float __z)
{ return __builtin_catanhf(__z); }
inline __complex__ double
__complex_atanh(__complex__ double __z)
{ return __builtin_catanh(__z); }
inline __complex__ long double
__complex_atanh(const __complex__ long double& __z)
{ return __builtin_catanhl(__z); }
template<typename _Tp>
inline std::complex<_Tp>
atanh(const std::complex<_Tp>& __z)
{ return __complex_atanh(__z.__rep()); }
#else
template<typename _Tp>
inline std::complex<_Tp>
atanh(const std::complex<_Tp>& __z)
{ return __complex_atanh(__z); }
#endif
/// fabs(__z) [8.1.8].
// Effects: Behaves the same as C99 function cabs, defined
// in subclause 7.3.8.1.
template<typename _Tp>
#ifdef _GLIBCXX_INCLUDE_AS_CXX0X
inline _Tp
#else
inline std::complex<_Tp>
#endif
fabs(const std::complex<_Tp>& __z)
{ return std::abs(__z); }
/// Additional overloads [8.1.9].
#if (defined(_GLIBCXX_INCLUDE_AS_CXX0X) \
|| (defined(_GLIBCXX_INCLUDE_AS_TR1) \
&& !defined(__GXX_EXPERIMENTAL_CXX0X__)))
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
arg(_Tp __x)
{
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
return std::arg(std::complex<__type>(__x));
}
template<typename _Tp>
inline std::complex<typename __gnu_cxx::__promote<_Tp>::__type>
conj(_Tp __x)
{ return __x; }
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
imag(_Tp)
{ return _Tp(); }
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
norm(_Tp __x)
{
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
return __type(__x) * __type(__x);
}
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
real(_Tp __x)
{ return __x; }
#endif
template<typename _Tp, typename _Up>
inline std::complex<typename __gnu_cxx::__promote_2<_Tp, _Up>::__type>
pow(const std::complex<_Tp>& __x, const _Up& __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return std::pow(std::complex<__type>(__x), __type(__y));
}
template<typename _Tp, typename _Up>
inline std::complex<typename __gnu_cxx::__promote_2<_Tp, _Up>::__type>
pow(const _Tp& __x, const std::complex<_Up>& __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return std::pow(__type(__x), std::complex<__type>(__y));
}
template<typename _Tp, typename _Up>
inline std::complex<typename __gnu_cxx::__promote_2<_Tp, _Up>::__type>
pow(const std::complex<_Tp>& __x, const std::complex<_Up>& __y)
{
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
return std::pow(std::complex<__type>(__x),
std::complex<__type>(__y));
}
_GLIBCXX_END_NAMESPACE_TR1
}
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