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Diffstat (limited to 'contrib/libstdc++/include/std/std_complex.h')
| -rw-r--r-- | contrib/libstdc++/include/std/std_complex.h | 1489 |
1 files changed, 0 insertions, 1489 deletions
diff --git a/contrib/libstdc++/include/std/std_complex.h b/contrib/libstdc++/include/std/std_complex.h deleted file mode 100644 index 26f31f6150f2..000000000000 --- a/contrib/libstdc++/include/std/std_complex.h +++ /dev/null @@ -1,1489 +0,0 @@ -// The template and inlines for the -*- C++ -*- complex number classes. - -// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005 -// 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 complex - * This is a Standard C++ Library header. - */ - -// -// ISO C++ 14882: 26.2 Complex Numbers -// Note: this is not a conforming implementation. -// Initially implemented by Ulrich Drepper <drepper@cygnus.com> -// Improved by Gabriel Dos Reis <dosreis@cmla.ens-cachan.fr> -// - -#ifndef _GLIBCXX_COMPLEX -#define _GLIBCXX_COMPLEX 1 - -#pragma GCC system_header - -#include <bits/c++config.h> -#include <bits/cpp_type_traits.h> -#include <cmath> -#include <sstream> - -_GLIBCXX_BEGIN_NAMESPACE(std) - - // Forward declarations. - template<typename _Tp> class complex; - template<> class complex<float>; - template<> class complex<double>; - template<> class complex<long double>; - - /// Return magnitude of @a z. - template<typename _Tp> _Tp abs(const complex<_Tp>&); - /// Return phase angle of @a z. - template<typename _Tp> _Tp arg(const complex<_Tp>&); - /// Return @a z magnitude squared. - template<typename _Tp> _Tp norm(const complex<_Tp>&); - - /// Return complex conjugate of @a z. - template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&); - /// Return complex with magnitude @a rho and angle @a theta. - template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp& = 0); - - // Transcendentals: - /// Return complex cosine of @a z. - template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&); - /// Return complex hyperbolic cosine of @a z. - template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&); - /// Return complex base e exponential of @a z. - template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&); - /// Return complex natural logarithm of @a z. - template<typename _Tp> complex<_Tp> log(const complex<_Tp>&); - /// Return complex base 10 logarithm of @a z. - template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&); - /// Return complex cosine of @a z. - template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int); - /// Return @a x to the @a y'th power. - template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&); - /// Return @a x to the @a y'th power. - template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, - const complex<_Tp>&); - /// Return @a x to the @a y'th power. - template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&); - /// Return complex sine of @a z. - template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&); - /// Return complex hyperbolic sine of @a z. - template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&); - /// Return complex square root of @a z. - template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&); - /// Return complex tangent of @a z. - template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&); - /// Return complex hyperbolic tangent of @a z. - template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&); - //@} - - - // 26.2.2 Primary template class complex - /** - * Template to represent complex numbers. - * - * Specializations for float, double, and long double are part of the - * library. Results with any other type are not guaranteed. - * - * @param Tp Type of real and imaginary values. - */ - template<typename _Tp> - struct complex - { - /// Value typedef. - typedef _Tp value_type; - - /// Default constructor. First parameter is x, second parameter is y. - /// Unspecified parameters default to 0. - complex(const _Tp& = _Tp(), const _Tp & = _Tp()); - - // Lets the compiler synthesize the copy constructor - // complex (const complex<_Tp>&); - /// Copy constructor. - template<typename _Up> - complex(const complex<_Up>&); - - /// Return real part of complex number. - _Tp& real(); - /// Return real part of complex number. - const _Tp& real() const; - /// Return imaginary part of complex number. - _Tp& imag(); - /// Return imaginary part of complex number. - const _Tp& imag() const; - - /// Assign this complex number to scalar @a t. - complex<_Tp>& operator=(const _Tp&); - /// Add @a t to this complex number. - complex<_Tp>& operator+=(const _Tp&); - /// Subtract @a t from this complex number. - complex<_Tp>& operator-=(const _Tp&); - /// Multiply this complex number by @a t. - complex<_Tp>& operator*=(const _Tp&); - /// Divide this complex number by @a t. - complex<_Tp>& operator/=(const _Tp&); - - // Lets the compiler synthesize the - // copy and assignment operator - // complex<_Tp>& operator= (const complex<_Tp>&); - /// Assign this complex number to complex @a z. - template<typename _Up> - complex<_Tp>& operator=(const complex<_Up>&); - /// Add @a z to this complex number. - template<typename _Up> - complex<_Tp>& operator+=(const complex<_Up>&); - /// Subtract @a z from this complex number. - template<typename _Up> - complex<_Tp>& operator-=(const complex<_Up>&); - /// Multiply this complex number by @a z. - template<typename _Up> - complex<_Tp>& operator*=(const complex<_Up>&); - /// Divide this complex number by @a z. - template<typename _Up> - complex<_Tp>& operator/=(const complex<_Up>&); - - const complex& __rep() const; - - private: - _Tp _M_real; - _Tp _M_imag; - }; - - template<typename _Tp> - inline _Tp& - complex<_Tp>::real() { return _M_real; } - - template<typename _Tp> - inline const _Tp& - complex<_Tp>::real() const { return _M_real; } - - template<typename _Tp> - inline _Tp& - complex<_Tp>::imag() { return _M_imag; } - - template<typename _Tp> - inline const _Tp& - complex<_Tp>::imag() const { return _M_imag; } - - template<typename _Tp> - inline - complex<_Tp>::complex(const _Tp& __r, const _Tp& __i) - : _M_real(__r), _M_imag(__i) { } - - template<typename _Tp> - template<typename _Up> - inline - complex<_Tp>::complex(const complex<_Up>& __z) - : _M_real(__z.real()), _M_imag(__z.imag()) { } - - template<typename _Tp> - complex<_Tp>& - complex<_Tp>::operator=(const _Tp& __t) - { - _M_real = __t; - _M_imag = _Tp(); - return *this; - } - - // 26.2.5/1 - template<typename _Tp> - inline complex<_Tp>& - complex<_Tp>::operator+=(const _Tp& __t) - { - _M_real += __t; - return *this; - } - - // 26.2.5/3 - template<typename _Tp> - inline complex<_Tp>& - complex<_Tp>::operator-=(const _Tp& __t) - { - _M_real -= __t; - return *this; - } - - // 26.2.5/5 - template<typename _Tp> - complex<_Tp>& - complex<_Tp>::operator*=(const _Tp& __t) - { - _M_real *= __t; - _M_imag *= __t; - return *this; - } - - // 26.2.5/7 - template<typename _Tp> - complex<_Tp>& - complex<_Tp>::operator/=(const _Tp& __t) - { - _M_real /= __t; - _M_imag /= __t; - return *this; - } - - template<typename _Tp> - template<typename _Up> - complex<_Tp>& - complex<_Tp>::operator=(const complex<_Up>& __z) - { - _M_real = __z.real(); - _M_imag = __z.imag(); - return *this; - } - - // 26.2.5/9 - template<typename _Tp> - template<typename _Up> - complex<_Tp>& - complex<_Tp>::operator+=(const complex<_Up>& __z) - { - _M_real += __z.real(); - _M_imag += __z.imag(); - return *this; - } - - // 26.2.5/11 - template<typename _Tp> - template<typename _Up> - complex<_Tp>& - complex<_Tp>::operator-=(const complex<_Up>& __z) - { - _M_real -= __z.real(); - _M_imag -= __z.imag(); - return *this; - } - - // 26.2.5/13 - // XXX: This is a grammar school implementation. - template<typename _Tp> - template<typename _Up> - complex<_Tp>& - complex<_Tp>::operator*=(const complex<_Up>& __z) - { - const _Tp __r = _M_real * __z.real() - _M_imag * __z.imag(); - _M_imag = _M_real * __z.imag() + _M_imag * __z.real(); - _M_real = __r; - return *this; - } - - // 26.2.5/15 - // XXX: This is a grammar school implementation. - template<typename _Tp> - template<typename _Up> - complex<_Tp>& - complex<_Tp>::operator/=(const complex<_Up>& __z) - { - const _Tp __r = _M_real * __z.real() + _M_imag * __z.imag(); - const _Tp __n = std::norm(__z); - _M_imag = (_M_imag * __z.real() - _M_real * __z.imag()) / __n; - _M_real = __r / __n; - return *this; - } - - template<typename _Tp> - inline const complex<_Tp>& - complex<_Tp>::__rep() const { return *this; } - - // Operators: - //@{ - /// Return new complex value @a x plus @a y. - template<typename _Tp> - inline complex<_Tp> - operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __x; - __r += __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator+(const complex<_Tp>& __x, const _Tp& __y) - { - complex<_Tp> __r = __x; - __r.real() += __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator+(const _Tp& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __y; - __r.real() += __x; - return __r; - } - //@} - - //@{ - /// Return new complex value @a x minus @a y. - template<typename _Tp> - inline complex<_Tp> - operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __x; - __r -= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator-(const complex<_Tp>& __x, const _Tp& __y) - { - complex<_Tp> __r = __x; - __r.real() -= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator-(const _Tp& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r(__x, -__y.imag()); - __r.real() -= __y.real(); - return __r; - } - //@} - - //@{ - /// Return new complex value @a x times @a y. - template<typename _Tp> - inline complex<_Tp> - operator*(const complex<_Tp>& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __x; - __r *= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator*(const complex<_Tp>& __x, const _Tp& __y) - { - complex<_Tp> __r = __x; - __r *= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator*(const _Tp& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __y; - __r *= __x; - return __r; - } - //@} - - //@{ - /// Return new complex value @a x divided by @a y. - template<typename _Tp> - inline complex<_Tp> - operator/(const complex<_Tp>& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __x; - __r /= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator/(const complex<_Tp>& __x, const _Tp& __y) - { - complex<_Tp> __r = __x; - __r /= __y; - return __r; - } - - template<typename _Tp> - inline complex<_Tp> - operator/(const _Tp& __x, const complex<_Tp>& __y) - { - complex<_Tp> __r = __x; - __r /= __y; - return __r; - } - //@} - - /// Return @a x. - template<typename _Tp> - inline complex<_Tp> - operator+(const complex<_Tp>& __x) - { return __x; } - - /// Return complex negation of @a x. - template<typename _Tp> - inline complex<_Tp> - operator-(const complex<_Tp>& __x) - { return complex<_Tp>(-__x.real(), -__x.imag()); } - - //@{ - /// Return true if @a x is equal to @a y. - template<typename _Tp> - inline bool - operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) - { return __x.real() == __y.real() && __x.imag() == __y.imag(); } - - template<typename _Tp> - inline bool - operator==(const complex<_Tp>& __x, const _Tp& __y) - { return __x.real() == __y && __x.imag() == _Tp(); } - - template<typename _Tp> - inline bool - operator==(const _Tp& __x, const complex<_Tp>& __y) - { return __x == __y.real() && _Tp() == __y.imag(); } - //@} - - //@{ - /// Return false if @a x is equal to @a y. - template<typename _Tp> - inline bool - operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) - { return __x.real() != __y.real() || __x.imag() != __y.imag(); } - - template<typename _Tp> - inline bool - operator!=(const complex<_Tp>& __x, const _Tp& __y) - { return __x.real() != __y || __x.imag() != _Tp(); } - - template<typename _Tp> - inline bool - operator!=(const _Tp& __x, const complex<_Tp>& __y) - { return __x != __y.real() || _Tp() != __y.imag(); } - //@} - - /// Extraction operator for complex values. - template<typename _Tp, typename _CharT, class _Traits> - basic_istream<_CharT, _Traits>& - operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x) - { - _Tp __re_x, __im_x; - _CharT __ch; - __is >> __ch; - if (__ch == '(') - { - __is >> __re_x >> __ch; - if (__ch == ',') - { - __is >> __im_x >> __ch; - if (__ch == ')') - __x = complex<_Tp>(__re_x, __im_x); - else - __is.setstate(ios_base::failbit); - } - else if (__ch == ')') - __x = __re_x; - else - __is.setstate(ios_base::failbit); - } - else - { - __is.putback(__ch); - __is >> __re_x; - __x = __re_x; - } - return __is; - } - - /// Insertion operator for complex values. - template<typename _Tp, typename _CharT, class _Traits> - basic_ostream<_CharT, _Traits>& - operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x) - { - basic_ostringstream<_CharT, _Traits> __s; - __s.flags(__os.flags()); - __s.imbue(__os.getloc()); - __s.precision(__os.precision()); - __s << '(' << __x.real() << ',' << __x.imag() << ')'; - return __os << __s.str(); - } - - // Values - template<typename _Tp> - inline _Tp& - real(complex<_Tp>& __z) - { return __z.real(); } - - template<typename _Tp> - inline const _Tp& - real(const complex<_Tp>& __z) - { return __z.real(); } - - template<typename _Tp> - inline _Tp& - imag(complex<_Tp>& __z) - { return __z.imag(); } - - template<typename _Tp> - inline const _Tp& - imag(const complex<_Tp>& __z) - { return __z.imag(); } - - // 26.2.7/3 abs(__z): Returns the magnitude of __z. - template<typename _Tp> - inline _Tp - __complex_abs(const complex<_Tp>& __z) - { - _Tp __x = __z.real(); - _Tp __y = __z.imag(); - const _Tp __s = std::max(abs(__x), abs(__y)); - if (__s == _Tp()) // well ... - return __s; - __x /= __s; - __y /= __s; - return __s * sqrt(__x * __x + __y * __y); - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline float - __complex_abs(__complex__ float __z) { return __builtin_cabsf(__z); } - - inline double - __complex_abs(__complex__ double __z) { return __builtin_cabs(__z); } - - inline long double - __complex_abs(const __complex__ long double& __z) - { return __builtin_cabsl(__z); } - - template<typename _Tp> - inline _Tp - abs(const complex<_Tp>& __z) { return __complex_abs(__z.__rep()); } -#else - template<typename _Tp> - inline _Tp - abs(const complex<_Tp>& __z) { return __complex_abs(__z); } -#endif - - - // 26.2.7/4: arg(__z): Returns the phase angle of __z. - template<typename _Tp> - inline _Tp - __complex_arg(const complex<_Tp>& __z) - { return atan2(__z.imag(), __z.real()); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline float - __complex_arg(__complex__ float __z) { return __builtin_cargf(__z); } - - inline double - __complex_arg(__complex__ double __z) { return __builtin_carg(__z); } - - inline long double - __complex_arg(const __complex__ long double& __z) - { return __builtin_cargl(__z); } - - template<typename _Tp> - inline _Tp - arg(const complex<_Tp>& __z) { return __complex_arg(__z.__rep()); } -#else - template<typename _Tp> - inline _Tp - arg(const complex<_Tp>& __z) { return __complex_arg(__z); } -#endif - - // 26.2.7/5: norm(__z) returns the squared magintude of __z. - // As defined, norm() is -not- a norm is the common mathematical - // sens used in numerics. The helper class _Norm_helper<> tries to - // distinguish between builtin floating point and the rest, so as - // to deliver an answer as close as possible to the real value. - template<bool> - struct _Norm_helper - { - template<typename _Tp> - static inline _Tp _S_do_it(const complex<_Tp>& __z) - { - const _Tp __x = __z.real(); - const _Tp __y = __z.imag(); - return __x * __x + __y * __y; - } - }; - - template<> - struct _Norm_helper<true> - { - template<typename _Tp> - static inline _Tp _S_do_it(const complex<_Tp>& __z) - { - _Tp __res = std::abs(__z); - return __res * __res; - } - }; - - template<typename _Tp> - inline _Tp - norm(const complex<_Tp>& __z) - { - return _Norm_helper<__is_floating<_Tp>::__value - && !_GLIBCXX_FAST_MATH>::_S_do_it(__z); - } - - template<typename _Tp> - inline complex<_Tp> - polar(const _Tp& __rho, const _Tp& __theta) - { return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta)); } - - template<typename _Tp> - inline complex<_Tp> - conj(const complex<_Tp>& __z) - { return complex<_Tp>(__z.real(), -__z.imag()); } - - // Transcendentals - - // 26.2.8/1 cos(__z): Returns the cosine of __z. - template<typename _Tp> - inline complex<_Tp> - __complex_cos(const complex<_Tp>& __z) - { - const _Tp __x = __z.real(); - const _Tp __y = __z.imag(); - return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y)); - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_cos(__complex__ float __z) { return __builtin_ccosf(__z); } - - inline __complex__ double - __complex_cos(__complex__ double __z) { return __builtin_ccos(__z); } - - inline __complex__ long double - __complex_cos(const __complex__ long double& __z) - { return __builtin_ccosl(__z); } - - template<typename _Tp> - inline complex<_Tp> - cos(const complex<_Tp>& __z) { return __complex_cos(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - cos(const complex<_Tp>& __z) { return __complex_cos(__z); } -#endif - - // 26.2.8/2 cosh(__z): Returns the hyperbolic cosine of __z. - template<typename _Tp> - inline complex<_Tp> - __complex_cosh(const complex<_Tp>& __z) - { - const _Tp __x = __z.real(); - const _Tp __y = __z.imag(); - return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y)); - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_cosh(__complex__ float __z) { return __builtin_ccoshf(__z); } - - inline __complex__ double - __complex_cosh(__complex__ double __z) { return __builtin_ccosh(__z); } - - inline __complex__ long double - __complex_cosh(const __complex__ long double& __z) - { return __builtin_ccoshl(__z); } - - template<typename _Tp> - inline complex<_Tp> - cosh(const complex<_Tp>& __z) { return __complex_cosh(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - cosh(const complex<_Tp>& __z) { return __complex_cosh(__z); } -#endif - - // 26.2.8/3 exp(__z): Returns the complex base e exponential of x - template<typename _Tp> - inline complex<_Tp> - __complex_exp(const complex<_Tp>& __z) - { return std::polar(exp(__z.real()), __z.imag()); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_exp(__complex__ float __z) { return __builtin_cexpf(__z); } - - inline __complex__ double - __complex_exp(__complex__ double __z) { return __builtin_cexp(__z); } - - inline __complex__ long double - __complex_exp(const __complex__ long double& __z) - { return __builtin_cexpl(__z); } - - template<typename _Tp> - inline complex<_Tp> - exp(const complex<_Tp>& __z) { return __complex_exp(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - exp(const complex<_Tp>& __z) { return __complex_exp(__z); } -#endif - - // 26.2.8/5 log(__z): Reurns the natural complex logaritm of __z. - // The branch cut is along the negative axis. - template<typename _Tp> - inline complex<_Tp> - __complex_log(const complex<_Tp>& __z) - { return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_log(__complex__ float __z) { return __builtin_clogf(__z); } - - inline __complex__ double - __complex_log(__complex__ double __z) { return __builtin_clog(__z); } - - inline __complex__ long double - __complex_log(const __complex__ long double& __z) - { return __builtin_clogl(__z); } - - template<typename _Tp> - inline complex<_Tp> - log(const complex<_Tp>& __z) { return __complex_log(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - log(const complex<_Tp>& __z) { return __complex_log(__z); } -#endif - - template<typename _Tp> - inline complex<_Tp> - log10(const complex<_Tp>& __z) - { return std::log(__z) / log(_Tp(10.0)); } - - // 26.2.8/10 sin(__z): Returns the sine of __z. - template<typename _Tp> - inline complex<_Tp> - __complex_sin(const complex<_Tp>& __z) - { - const _Tp __x = __z.real(); - const _Tp __y = __z.imag(); - return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y)); - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_sin(__complex__ float __z) { return __builtin_csinf(__z); } - - inline __complex__ double - __complex_sin(__complex__ double __z) { return __builtin_csin(__z); } - - inline __complex__ long double - __complex_sin(const __complex__ long double& __z) - { return __builtin_csinl(__z); } - - template<typename _Tp> - inline complex<_Tp> - sin(const complex<_Tp>& __z) { return __complex_sin(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - sin(const complex<_Tp>& __z) { return __complex_sin(__z); } -#endif - - // 26.2.8/11 sinh(__z): Returns the hyperbolic sine of __z. - template<typename _Tp> - inline complex<_Tp> - __complex_sinh(const complex<_Tp>& __z) - { - const _Tp __x = __z.real(); - const _Tp __y = __z.imag(); - return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y)); - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); } - - inline __complex__ double - __complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); } - - inline __complex__ long double - __complex_sinh(const __complex__ long double& __z) - { return __builtin_csinhl(__z); } - - template<typename _Tp> - inline complex<_Tp> - sinh(const complex<_Tp>& __z) { return __complex_sinh(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - sinh(const complex<_Tp>& __z) { return __complex_sinh(__z); } -#endif - - // 26.2.8/13 sqrt(__z): Returns the complex square root of __z. - // The branch cut is on the negative axis. - template<typename _Tp> - complex<_Tp> - __complex_sqrt(const complex<_Tp>& __z) - { - _Tp __x = __z.real(); - _Tp __y = __z.imag(); - - if (__x == _Tp()) - { - _Tp __t = sqrt(abs(__y) / 2); - return complex<_Tp>(__t, __y < _Tp() ? -__t : __t); - } - else - { - _Tp __t = sqrt(2 * (std::abs(__z) + abs(__x))); - _Tp __u = __t / 2; - return __x > _Tp() - ? complex<_Tp>(__u, __y / __t) - : complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u); - } - } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_sqrt(__complex__ float __z) { return __builtin_csqrtf(__z); } - - inline __complex__ double - __complex_sqrt(__complex__ double __z) { return __builtin_csqrt(__z); } - - inline __complex__ long double - __complex_sqrt(const __complex__ long double& __z) - { return __builtin_csqrtl(__z); } - - template<typename _Tp> - inline complex<_Tp> - sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z); } -#endif - - // 26.2.8/14 tan(__z): Return the complex tangent of __z. - - template<typename _Tp> - inline complex<_Tp> - __complex_tan(const complex<_Tp>& __z) - { return std::sin(__z) / std::cos(__z); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_tan(__complex__ float __z) { return __builtin_ctanf(__z); } - - inline __complex__ double - __complex_tan(__complex__ double __z) { return __builtin_ctan(__z); } - - inline __complex__ long double - __complex_tan(const __complex__ long double& __z) - { return __builtin_ctanl(__z); } - - template<typename _Tp> - inline complex<_Tp> - tan(const complex<_Tp>& __z) { return __complex_tan(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - tan(const complex<_Tp>& __z) { return __complex_tan(__z); } -#endif - - - // 26.2.8/15 tanh(__z): Returns the hyperbolic tangent of __z. - - template<typename _Tp> - inline complex<_Tp> - __complex_tanh(const complex<_Tp>& __z) - { return std::sinh(__z) / std::cosh(__z); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_tanh(__complex__ float __z) { return __builtin_ctanhf(__z); } - - inline __complex__ double - __complex_tanh(__complex__ double __z) { return __builtin_ctanh(__z); } - - inline __complex__ long double - __complex_tanh(const __complex__ long double& __z) - { return __builtin_ctanhl(__z); } - - template<typename _Tp> - inline complex<_Tp> - tanh(const complex<_Tp>& __z) { return __complex_tanh(__z.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - tanh(const complex<_Tp>& __z) { return __complex_tanh(__z); } -#endif - - - // 26.2.8/9 pow(__x, __y): Returns the complex power base of __x - // raised to the __y-th power. The branch - // cut is on the negative axis. - template<typename _Tp> - inline complex<_Tp> - pow(const complex<_Tp>& __z, int __n) - { return std::__pow_helper(__z, __n); } - - template<typename _Tp> - complex<_Tp> - pow(const complex<_Tp>& __x, const _Tp& __y) - { -#ifndef _GLIBCXX_USE_C99_COMPLEX - if (__x == _Tp()) - return _Tp(); -#endif - if (__x.imag() == _Tp() && __x.real() > _Tp()) - return pow(__x.real(), __y); - - complex<_Tp> __t = std::log(__x); - return std::polar(exp(__y * __t.real()), __y * __t.imag()); - } - - template<typename _Tp> - inline complex<_Tp> - __complex_pow(const complex<_Tp>& __x, const complex<_Tp>& __y) - { return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x)); } - -#if _GLIBCXX_USE_C99_COMPLEX - inline __complex__ float - __complex_pow(__complex__ float __x, __complex__ float __y) - { return __builtin_cpowf(__x, __y); } - - inline __complex__ double - __complex_pow(__complex__ double __x, __complex__ double __y) - { return __builtin_cpow(__x, __y); } - - inline __complex__ long double - __complex_pow(const __complex__ long double& __x, - const __complex__ long double& __y) - { return __builtin_cpowl(__x, __y); } - - template<typename _Tp> - inline complex<_Tp> - pow(const complex<_Tp>& __x, const complex<_Tp>& __y) - { return __complex_pow(__x.__rep(), __y.__rep()); } -#else - template<typename _Tp> - inline complex<_Tp> - pow(const complex<_Tp>& __x, const complex<_Tp>& __y) - { return __complex_pow(__x, __y); } -#endif - - template<typename _Tp> - inline complex<_Tp> - pow(const _Tp& __x, const complex<_Tp>& __y) - { - return __x > _Tp() ? std::polar(pow(__x, __y.real()), - __y.imag() * log(__x)) - : std::pow(complex<_Tp>(__x, _Tp()), __y); - } - - // 26.2.3 complex specializations - // complex<float> specialization - template<> - struct complex<float> - { - typedef float value_type; - typedef __complex__ float _ComplexT; - - complex(_ComplexT __z) : _M_value(__z) { } - - complex(float = 0.0f, float = 0.0f); - - explicit complex(const complex<double>&); - explicit complex(const complex<long double>&); - - float& real(); - const float& real() const; - float& imag(); - const float& imag() const; - - complex<float>& operator=(float); - complex<float>& operator+=(float); - complex<float>& operator-=(float); - complex<float>& operator*=(float); - complex<float>& operator/=(float); - - // Let's the compiler synthetize the copy and assignment - // operator. It always does a pretty good job. - // complex& operator= (const complex&); - template<typename _Tp> - complex<float>&operator=(const complex<_Tp>&); - template<typename _Tp> - complex<float>& operator+=(const complex<_Tp>&); - template<class _Tp> - complex<float>& operator-=(const complex<_Tp>&); - template<class _Tp> - complex<float>& operator*=(const complex<_Tp>&); - template<class _Tp> - complex<float>&operator/=(const complex<_Tp>&); - - const _ComplexT& __rep() const { return _M_value; } - - private: - _ComplexT _M_value; - }; - - inline float& - complex<float>::real() - { return __real__ _M_value; } - - inline const float& - complex<float>::real() const - { return __real__ _M_value; } - - inline float& - complex<float>::imag() - { return __imag__ _M_value; } - - inline const float& - complex<float>::imag() const - { return __imag__ _M_value; } - - inline - complex<float>::complex(float r, float i) - { - __real__ _M_value = r; - __imag__ _M_value = i; - } - - inline complex<float>& - complex<float>::operator=(float __f) - { - __real__ _M_value = __f; - __imag__ _M_value = 0.0f; - return *this; - } - - inline complex<float>& - complex<float>::operator+=(float __f) - { - __real__ _M_value += __f; - return *this; - } - - inline complex<float>& - complex<float>::operator-=(float __f) - { - __real__ _M_value -= __f; - return *this; - } - - inline complex<float>& - complex<float>::operator*=(float __f) - { - _M_value *= __f; - return *this; - } - - inline complex<float>& - complex<float>::operator/=(float __f) - { - _M_value /= __f; - return *this; - } - - template<typename _Tp> - inline complex<float>& - complex<float>::operator=(const complex<_Tp>& __z) - { - __real__ _M_value = __z.real(); - __imag__ _M_value = __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<float>& - complex<float>::operator+=(const complex<_Tp>& __z) - { - __real__ _M_value += __z.real(); - __imag__ _M_value += __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<float>& - complex<float>::operator-=(const complex<_Tp>& __z) - { - __real__ _M_value -= __z.real(); - __imag__ _M_value -= __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<float>& - complex<float>::operator*=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value *= __t; - return *this; - } - - template<typename _Tp> - inline complex<float>& - complex<float>::operator/=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value /= __t; - return *this; - } - - // 26.2.3 complex specializations - // complex<double> specialization - template<> - struct complex<double> - { - typedef double value_type; - typedef __complex__ double _ComplexT; - - complex(_ComplexT __z) : _M_value(__z) { } - - complex(double = 0.0, double = 0.0); - - complex(const complex<float>&); - explicit complex(const complex<long double>&); - - double& real(); - const double& real() const; - double& imag(); - const double& imag() const; - - complex<double>& operator=(double); - complex<double>& operator+=(double); - complex<double>& operator-=(double); - complex<double>& operator*=(double); - complex<double>& operator/=(double); - - // The compiler will synthetize this, efficiently. - // complex& operator= (const complex&); - template<typename _Tp> - complex<double>& operator=(const complex<_Tp>&); - template<typename _Tp> - complex<double>& operator+=(const complex<_Tp>&); - template<typename _Tp> - complex<double>& operator-=(const complex<_Tp>&); - template<typename _Tp> - complex<double>& operator*=(const complex<_Tp>&); - template<typename _Tp> - complex<double>& operator/=(const complex<_Tp>&); - - const _ComplexT& __rep() const { return _M_value; } - - private: - _ComplexT _M_value; - }; - - inline double& - complex<double>::real() - { return __real__ _M_value; } - - inline const double& - complex<double>::real() const - { return __real__ _M_value; } - - inline double& - complex<double>::imag() - { return __imag__ _M_value; } - - inline const double& - complex<double>::imag() const - { return __imag__ _M_value; } - - inline - complex<double>::complex(double __r, double __i) - { - __real__ _M_value = __r; - __imag__ _M_value = __i; - } - - inline complex<double>& - complex<double>::operator=(double __d) - { - __real__ _M_value = __d; - __imag__ _M_value = 0.0; - return *this; - } - - inline complex<double>& - complex<double>::operator+=(double __d) - { - __real__ _M_value += __d; - return *this; - } - - inline complex<double>& - complex<double>::operator-=(double __d) - { - __real__ _M_value -= __d; - return *this; - } - - inline complex<double>& - complex<double>::operator*=(double __d) - { - _M_value *= __d; - return *this; - } - - inline complex<double>& - complex<double>::operator/=(double __d) - { - _M_value /= __d; - return *this; - } - - template<typename _Tp> - inline complex<double>& - complex<double>::operator=(const complex<_Tp>& __z) - { - __real__ _M_value = __z.real(); - __imag__ _M_value = __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<double>& - complex<double>::operator+=(const complex<_Tp>& __z) - { - __real__ _M_value += __z.real(); - __imag__ _M_value += __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<double>& - complex<double>::operator-=(const complex<_Tp>& __z) - { - __real__ _M_value -= __z.real(); - __imag__ _M_value -= __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<double>& - complex<double>::operator*=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value *= __t; - return *this; - } - - template<typename _Tp> - inline complex<double>& - complex<double>::operator/=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value /= __t; - return *this; - } - - // 26.2.3 complex specializations - // complex<long double> specialization - template<> - struct complex<long double> - { - typedef long double value_type; - typedef __complex__ long double _ComplexT; - - complex(_ComplexT __z) : _M_value(__z) { } - - complex(long double = 0.0L, long double = 0.0L); - - complex(const complex<float>&); - complex(const complex<double>&); - - long double& real(); - const long double& real() const; - long double& imag(); - const long double& imag() const; - - complex<long double>& operator= (long double); - complex<long double>& operator+= (long double); - complex<long double>& operator-= (long double); - complex<long double>& operator*= (long double); - complex<long double>& operator/= (long double); - - // The compiler knows how to do this efficiently - // complex& operator= (const complex&); - template<typename _Tp> - complex<long double>& operator=(const complex<_Tp>&); - template<typename _Tp> - complex<long double>& operator+=(const complex<_Tp>&); - template<typename _Tp> - complex<long double>& operator-=(const complex<_Tp>&); - template<typename _Tp> - complex<long double>& operator*=(const complex<_Tp>&); - template<typename _Tp> - complex<long double>& operator/=(const complex<_Tp>&); - - const _ComplexT& __rep() const { return _M_value; } - - private: - _ComplexT _M_value; - }; - - inline - complex<long double>::complex(long double __r, long double __i) - { - __real__ _M_value = __r; - __imag__ _M_value = __i; - } - - inline long double& - complex<long double>::real() - { return __real__ _M_value; } - - inline const long double& - complex<long double>::real() const - { return __real__ _M_value; } - - inline long double& - complex<long double>::imag() - { return __imag__ _M_value; } - - inline const long double& - complex<long double>::imag() const - { return __imag__ _M_value; } - - inline complex<long double>& - complex<long double>::operator=(long double __r) - { - __real__ _M_value = __r; - __imag__ _M_value = 0.0L; - return *this; - } - - inline complex<long double>& - complex<long double>::operator+=(long double __r) - { - __real__ _M_value += __r; - return *this; - } - - inline complex<long double>& - complex<long double>::operator-=(long double __r) - { - __real__ _M_value -= __r; - return *this; - } - - inline complex<long double>& - complex<long double>::operator*=(long double __r) - { - _M_value *= __r; - return *this; - } - - inline complex<long double>& - complex<long double>::operator/=(long double __r) - { - _M_value /= __r; - return *this; - } - - template<typename _Tp> - inline complex<long double>& - complex<long double>::operator=(const complex<_Tp>& __z) - { - __real__ _M_value = __z.real(); - __imag__ _M_value = __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<long double>& - complex<long double>::operator+=(const complex<_Tp>& __z) - { - __real__ _M_value += __z.real(); - __imag__ _M_value += __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<long double>& - complex<long double>::operator-=(const complex<_Tp>& __z) - { - __real__ _M_value -= __z.real(); - __imag__ _M_value -= __z.imag(); - return *this; - } - - template<typename _Tp> - inline complex<long double>& - complex<long double>::operator*=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value *= __t; - return *this; - } - - template<typename _Tp> - inline complex<long double>& - complex<long double>::operator/=(const complex<_Tp>& __z) - { - _ComplexT __t; - __real__ __t = __z.real(); - __imag__ __t = __z.imag(); - _M_value /= __t; - return *this; - } - - // These bits have to be at the end of this file, so that the - // specializations have all been defined. - // ??? No, they have to be there because of compiler limitation at - // inlining. It suffices that class specializations be defined. - inline - complex<float>::complex(const complex<double>& __z) - : _M_value(__z.__rep()) { } - - inline - complex<float>::complex(const complex<long double>& __z) - : _M_value(__z.__rep()) { } - - inline - complex<double>::complex(const complex<float>& __z) - : _M_value(__z.__rep()) { } - - inline - complex<double>::complex(const complex<long double>& __z) - : _M_value(__z.__rep()) { } - - inline - complex<long double>::complex(const complex<float>& __z) - : _M_value(__z.__rep()) { } - - inline - complex<long double>::complex(const complex<double>& __z) - : _M_value(__z.__rep()) { } - -_GLIBCXX_END_NAMESPACE - -#endif /* _GLIBCXX_COMPLEX */ |