--- /dev/null
+// TR1 complex -*- C++ -*-
+
+// Copyright (C) 2006 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
+ * This is a TR1 C++ Library header.
+ */
+
+#ifndef _TR1_COMPLEX
+#define _TR1_COMPLEX 1
+
+#include "../complex"
+
+// namespace std::tr1
+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>&);
+ template<typename _Tp> std::complex<_Tp> fabs(const std::complex<_Tp>&);
+
+ /// @brief 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::tr1::asin(__z);
+ const _Tp __pi_2 = 1.5707963267948966192313216916397514L;
+ return std::complex<_Tp>(__pi_2 - __t.real(), -__t.imag());
+ }
+
+#if _GLIBCXX_USE_C99_COMPLEX
+ 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
+
+ /// @brief 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::tr1::asinh(__t);
+ return std::complex<_Tp>(__t.imag(), -__t.real());
+ }
+
+#if _GLIBCXX_USE_C99_COMPLEX
+ 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
+
+ /// @brief 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
+ 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
+
+ /// @brief 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
+ 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
+
+ /// @brief 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
+ 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
+
+ /// @brief 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
+ 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
+
+ /// @brief fabs(__z) [8.1.8]
+ // Effects: Behaves the same as C99 function cabs, defined
+ // in subclause 7.3.8.1.
+ template<typename _Tp>
+ inline std::complex<_Tp>
+ fabs(const std::complex<_Tp>& __z)
+ { return std::abs(__z); }
+
+_GLIBCXX_END_NAMESPACE
+}
+
+#endif