ACIL FM

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array	6.82 MB	View DL Edit
bessel_function.tcc	22.4 MB	View DL Edit
beta_function.tcc	5.85 MB	View DL Edit
ccomplex	1.23 MB	View DL Edit
cctype	1.44 MB	View DL Edit
cfenv	2.02 MB	View DL Edit
cfloat	1.35 MB	View DL Edit
cinttypes	2.27 MB	View DL Edit
climits	1.42 MB	View DL Edit
cmath	42.85 MB	View DL Edit
complex	12.09 MB	View DL Edit
complex.h	1.23 MB	View DL Edit
cstdarg	1.22 MB	View DL Edit
cstdbool	1.31 MB	View DL Edit
cstdint	2.62 MB	View DL Edit
cstdio	1.51 MB	View DL Edit
cstdlib	1.82 MB	View DL Edit
ctgmath	1.22 MB	View DL Edit
ctime	1.21 MB	View DL Edit
ctype.h	1.18 MB	View DL Edit
cwchar	1.74 MB	View DL Edit
cwctype	1.49 MB	View DL Edit
ell_integral.tcc	26.5 MB	View DL Edit
exp_integral.tcc	15.64 MB	View DL Edit
fenv.h	1.18 MB	View DL Edit
float.h	1.18 MB	View DL Edit
functional	69.07 MB	View DL Edit
functional_hash.h	5.9 MB	View DL Edit
gamma.tcc	14.34 MB	View DL Edit
hashtable.h	41.01 MB	View DL Edit
hashtable_policy.h	24.5 MB	View DL Edit
hypergeometric.tcc	27.41 MB	View DL Edit
inttypes.h	1.24 MB	View DL Edit
legendre_function.tcc	10.41 MB	View DL Edit
limits.h	1.19 MB	View DL Edit
math.h	4.45 MB	View DL Edit
memory	1.75 MB	View DL Edit
modified_bessel_func.tcc	15.88 MB	View DL Edit
poly_hermite.tcc	3.83 MB	View DL Edit
poly_laguerre.tcc	11.4 MB	View DL Edit
random	1.55 MB	View DL Edit
random.h	71.38 MB	View DL Edit
random.tcc	52.66 MB	View DL Edit
regex	90.74 MB	View DL Edit
riemann_zeta.tcc	13.74 MB	View DL Edit
shared_ptr.h	32.46 MB	View DL Edit
special_function_util.h	4.94 MB	View DL Edit
stdarg.h	1.19 MB	View DL Edit
stdbool.h	1.19 MB	View DL Edit
stdint.h	1.19 MB	View DL Edit
stdio.h	1.18 MB	View DL Edit
stdlib.h	1.45 MB	View DL Edit
tgmath.h	1.23 MB	View DL Edit
tuple	11.83 MB	View DL Edit
type_traits	18.57 MB	View DL Edit
unordered_map	1.54 MB	View DL Edit
unordered_map.h	9.98 MB	View DL Edit
unordered_set	1.54 MB	View DL Edit
unordered_set.h	9.32 MB	View DL Edit
utility	3.15 MB	View DL Edit
wchar.h	1.22 MB	View DL Edit
wctype.h	1.23 MB	View DL Edit

Edit file: /usr/include/c++/11/tr1/complex

// TR1 complex -*- C++ -*-

// Copyright (C) 2006-2021 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 tr1/complex
 *  This is a TR1 C++ Library header. 
 */

#ifndef _GLIBCXX_TR1_COMPLEX
#define _GLIBCXX_TR1_COMPLEX 1

#pragma GCC system_header

#include <complex>

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

namespace tr1
{
  /**
   * @addtogroup complex_numbers
   * @{
   */

#if __cplusplus >= 201103L
  using std::acos;
  using std::asin;
  using std::atan;
  using std::acosh;
  using std::asinh;
  using std::atanh;
#else
  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>&);
#endif

// The std::fabs return type in C++11 mode is different (just _Tp).
  template<typename _Tp> std::complex<_Tp> fabs(const std::complex<_Tp>&);

#if __cplusplus < 201103L
  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_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
  /// 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>
    acos(const std::complex<_Tp>& __z)
    { return __complex_acos(__z); }
#endif

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_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
  /// 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>
    asin(const std::complex<_Tp>& __z)
    { return __complex_asin(__z); }
#endif
  
  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
  /// atan(__z) [8.1.4].
  //  Effects:  Behaves the same as C99 function catan, defined
  //            in subclause 7.3.5.3.
  template<typename _Tp>
    inline std::complex<_Tp>
    atan(const std::complex<_Tp>& __z)
    { return __complex_atan(__z); }
#endif

template<typename _Tp>
    std::complex<_Tp>
    __complex_acosh(const std::complex<_Tp>& __z)
    {
      // Kahan's formula.
      return _Tp(2.0) * std::log(std::sqrt(_Tp(0.5) * (__z + _Tp(1.0)))
				 + std::sqrt(_Tp(0.5) * (__z - _Tp(1.0))));
    }

#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
  /// acosh(__z) [8.1.5].
  //  Effects:  Behaves the same as C99 function cacosh, defined
  //            in subclause 7.3.6.1.
  template<typename _Tp>
    inline std::complex<_Tp>
    acosh(const std::complex<_Tp>& __z)
    { return __complex_acosh(__z); }
#endif

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
  /// asinh(__z) [8.1.6].
  //  Effects:  Behaves the same as C99 function casin, defined
  //            in subclause 7.3.6.2.
  template<typename _Tp>
    inline std::complex<_Tp>
    asinh(const std::complex<_Tp>& __z)
    { return __complex_asinh(__z); }
#endif

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
  /// atanh(__z) [8.1.7].
  //  Effects:  Behaves the same as C99 function catanh, defined
  //            in subclause 7.3.6.3.
  template<typename _Tp>
    inline std::complex<_Tp>
    atanh(const std::complex<_Tp>& __z)
    { return __complex_atanh(__z); }
#endif

#endif // C++11

template<typename _Tp>
    inline std::complex<_Tp>
    /// 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 __cplusplus < 201103L

template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    arg(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
#if (_GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC)
      return std::signbit(__x) ? __type(3.1415926535897932384626433832795029L)
	                       : __type();
#else
      return std::arg(std::complex<__type>(__x));
#endif
    }

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));
    }

using std::arg;

template<typename _Tp>
    inline std::complex<_Tp>
    conj(const std::complex<_Tp>& __z)
    { return std::conj(__z); }

template<typename _Tp>
    inline std::complex<typename __gnu_cxx::__promote<_Tp>::__type>
    conj(_Tp __x)
    { return __x; }

using std::imag;
  using std::norm;
  using std::polar;

template<typename _Tp, typename _Up>
    inline std::complex<typename __gnu_cxx::__promote_2<_Tp, _Up>::__type>
    polar(const _Tp& __rho, const _Up& __theta)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return std::polar(__type(__rho), __type(__theta));
    }

using std::real;

template<typename _Tp>
    inline std::complex<_Tp>
    pow(const std::complex<_Tp>& __x, const _Tp& __y)
    { return std::pow(__x, __y); }

template<typename _Tp>
    inline std::complex<_Tp>
    pow(const _Tp& __x, const std::complex<_Tp>& __y)
    { return std::pow(__x, __y); }

template<typename _Tp>
    inline std::complex<_Tp>
    pow(const std::complex<_Tp>& __x, const std::complex<_Tp>& __y)
    { return std::pow(__x, __y); }

/// @} group complex_numbers
}

_GLIBCXX_END_NAMESPACE_VERSION
}

#endif // _GLIBCXX_TR1_COMPLEX

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