X-Git-Url: https://oss.titaniummirror.com/gitweb?a=blobdiff_plain;f=libstdc%2B%2B-v3%2Finclude%2Ftr1_impl%2Fcomplex;fp=libstdc%2B%2B-v3%2Finclude%2Ftr1_impl%2Fcomplex;h=615fe1886f88299d3f078b225c66a3e9c1c79b71;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/libstdc++-v3/include/tr1_impl/complex b/libstdc++-v3/include/tr1_impl/complex new file mode 100644 index 00000000..615fe188 --- /dev/null +++ b/libstdc++-v3/include/tr1_impl/complex @@ -0,0 +1,370 @@ +// TR1 complex -*- C++ -*- + +// Copyright (C) 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 +// . + +/** @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 + + /** + * @addtogroup complex_numbers + * @{ + */ + + // Forward declarations. + template std::complex<_Tp> acos(const std::complex<_Tp>&); + template std::complex<_Tp> asin(const std::complex<_Tp>&); + template std::complex<_Tp> atan(const std::complex<_Tp>&); + + template std::complex<_Tp> acosh(const std::complex<_Tp>&); + template std::complex<_Tp> asinh(const std::complex<_Tp>&); + template std::complex<_Tp> atanh(const std::complex<_Tp>&); +#ifdef _GLIBCXX_INCLUDE_AS_CXX0X + // DR 595. + template _Tp fabs(const std::complex<_Tp>&); +#else + template std::complex<_Tp> fabs(const std::complex<_Tp>&); +#endif + + template + 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 + inline std::complex<_Tp> + acos(const std::complex<_Tp>& __z) + { return __complex_acos(__z.__rep()); } +#else + /// acos(__z) [8.1.2]. + // Effects: Behaves the same as C99 function cacos, defined + // in subclause 7.3.5.1. + template + inline std::complex<_Tp> + acos(const std::complex<_Tp>& __z) + { return __complex_acos(__z); } +#endif + + template + 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 + inline std::complex<_Tp> + asin(const std::complex<_Tp>& __z) + { return __complex_asin(__z.__rep()); } +#else + /// asin(__z) [8.1.3]. + // Effects: Behaves the same as C99 function casin, defined + // in subclause 7.3.5.2. + template + inline std::complex<_Tp> + asin(const std::complex<_Tp>& __z) + { return __complex_asin(__z); } +#endif + + template + 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 + inline std::complex<_Tp> + atan(const std::complex<_Tp>& __z) + { return __complex_atan(__z.__rep()); } +#else + /// atan(__z) [8.1.4]. + // Effects: Behaves the same as C99 function catan, defined + // in subclause 7.3.5.3. + template + inline std::complex<_Tp> + atan(const std::complex<_Tp>& __z) + { return __complex_atan(__z); } +#endif + + template + 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 + inline std::complex<_Tp> + acosh(const std::complex<_Tp>& __z) + { return __complex_acosh(__z.__rep()); } +#else + /// acosh(__z) [8.1.5]. + // Effects: Behaves the same as C99 function cacosh, defined + // in subclause 7.3.6.1. + template + inline std::complex<_Tp> + acosh(const std::complex<_Tp>& __z) + { return __complex_acosh(__z); } +#endif + + template + 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 + inline std::complex<_Tp> + asinh(const std::complex<_Tp>& __z) + { return __complex_asinh(__z.__rep()); } +#else + /// asinh(__z) [8.1.6]. + // Effects: Behaves the same as C99 function casin, defined + // in subclause 7.3.6.2. + template + inline std::complex<_Tp> + asinh(const std::complex<_Tp>& __z) + { return __complex_asinh(__z); } +#endif + + template + 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 + inline std::complex<_Tp> + atanh(const std::complex<_Tp>& __z) + { return __complex_atanh(__z.__rep()); } +#else + /// atanh(__z) [8.1.7]. + // Effects: Behaves the same as C99 function catanh, defined + // in subclause 7.3.6.3. + template + inline std::complex<_Tp> + atanh(const std::complex<_Tp>& __z) + { return __complex_atanh(__z); } +#endif + + template +#ifdef _GLIBCXX_INCLUDE_AS_CXX0X + inline _Tp +#else + inline std::complex<_Tp> +#endif + /// fabs(__z) [8.1.8]. + // Effects: Behaves the same as C99 function cabs, defined + // in subclause 7.3.8.1. + 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 + 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 + inline std::complex::__type> + conj(_Tp __x) + { return __x; } + + template + inline typename __gnu_cxx::__promote<_Tp>::__type + imag(_Tp) + { return _Tp(); } + + template + inline typename __gnu_cxx::__promote<_Tp>::__type + norm(_Tp __x) + { + typedef typename __gnu_cxx::__promote<_Tp>::__type __type; + return __type(__x) * __type(__x); + } + + template + inline typename __gnu_cxx::__promote<_Tp>::__type + real(_Tp __x) + { return __x; } + +#endif + + template + inline std::complex::__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 + inline std::complex::__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 + inline std::complex::__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)); + } + + // @} group complex_numbers + +_GLIBCXX_END_NAMESPACE_TR1 +}