FM / tr1

/usr/include/c++/11/tr1

Name	Size	Mode	Actions
array	6983	0644	edit dl rm
bessel_function.tcc	22937	0644	edit dl rm
beta_function.tcc	5995	0644	edit dl rm
ccomplex	1255	0644	edit dl rm
cctype	1478	0644	edit dl rm
cfenv	2070	0644	edit dl rm
cfloat	1380	0644	edit dl rm
cinttypes	2322	0644	edit dl rm
climits	1454	0644	edit dl rm
cmath	43877	0644	edit dl rm
complex	12385	0644	edit dl rm
complex.h	1261	0644	edit dl rm
cstdarg	1246	0644	edit dl rm
cstdbool	1344	0644	edit dl rm
cstdint	2687	0644	edit dl rm
cstdio	1548	0644	edit dl rm
cstdlib	1862	0644	edit dl rm
ctgmath	1248	0644	edit dl rm
ctime	1234	0644	edit dl rm
ctype.h	1209	0644	edit dl rm
cwchar	1784	0644	edit dl rm
cwctype	1525	0644	edit dl rm
ell_integral.tcc	27133	0644	edit dl rm
exp_integral.tcc	16013	0644	edit dl rm
fenv.h	1204	0644	edit dl rm
float.h	1209	0644	edit dl rm
functional	70731	0644	edit dl rm
functional_hash.h	6043	0644	edit dl rm
gamma.tcc	14682	0644	edit dl rm
hashtable.h	41995	0644	edit dl rm
hashtable_policy.h	25086	0644	edit dl rm
hypergeometric.tcc	28066	0644	edit dl rm
inttypes.h	1267	0644	edit dl rm
legendre_function.tcc	10661	0644	edit dl rm
limits.h	1214	0644	edit dl rm
math.h	4553	0644	edit dl rm
memory	1791	0644	edit dl rm
modified_bessel_func.tcc	16260	0644	edit dl rm
poly_hermite.tcc	3925	0644	edit dl rm
poly_laguerre.tcc	11676	0644	edit dl rm
random	1589	0644	edit dl rm
random.h	73098	0644	edit dl rm
random.tcc	53927	0644	edit dl rm
regex	92922	0644	edit dl rm
riemann_zeta.tcc	14067	0644	edit dl rm
shared_ptr.h	33239	0644	edit dl rm
special_function_util.h	5055	0644	edit dl rm
stdarg.h	1214	0644	edit dl rm
stdbool.h	1219	0644	edit dl rm
stdint.h	1214	0644	edit dl rm
stdio.h	1209	0644	edit dl rm
stdlib.h	1487	0644	edit dl rm
tgmath.h	1255	0644	edit dl rm
tuple	12119	0644	edit dl rm
type_traits	19019	0644	edit dl rm
unordered_map	1574	0644	edit dl rm
unordered_map.h	10216	0644	edit dl rm
unordered_set	1574	0644	edit dl rm
unordered_set.h	9540	0644	edit dl rm
utility	3225	0644	edit dl rm
wchar.h	1249	0644	edit dl rm
wctype.h	1255	0644	edit dl rm

Edit: /usr/include/c++/11/tr1/complex (12385B)

// 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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