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/*
* Copyright (c) 1999
* Silicon Graphics Computer Systems, Inc.
*
* Copyright (c) 1999
* Boris Fomitchev
*
* This material is provided "as is", with absolutely no warranty expressed
* or implied. Any use is at your own risk.
*
* Permission to use or copy this software for any purpose is hereby granted
* without fee, provided the above notices are retained on all copies.
* Permission to modify the code and to distribute modified code is granted,
* provided the above notices are retained, and a notice that the code was
* modified is included with the above copyright notice.
*
*/
#ifndef _STLP_INTERNAL_COMPLEX
#define _STLP_INTERNAL_COMPLEX
// This header declares the template class complex, as described in
// in the draft C++ standard. Single-precision complex numbers
// are complex<float>, double-precision are complex<double>, and
// quad precision are complex<long double>.
// Note that the template class complex is declared within namespace
// std, as called for by the draft C++ standard.
#ifndef _STLP_INTERNAL_CMATH
# include <stl/_cmath.h>
#endif
_STLP_BEGIN_NAMESPACE
template <class _Tp>
struct complex {
typedef _Tp value_type;
typedef complex<_Tp> _Self;
// Constructors, destructor, assignment operator.
complex() : _M_re(0), _M_im(0) {}
complex(const value_type& __x)
: _M_re(__x), _M_im(0) {}
complex(const value_type& __x, const value_type& __y)
: _M_re(__x), _M_im(__y) {}
complex(const _Self& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
_Self& operator=(const _Self& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
#if defined (_STLP_MEMBER_TEMPLATES) && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER)
template <class _Tp2>
explicit complex(const complex<_Tp2>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
template <class _Tp2>
_Self& operator=(const complex<_Tp2>& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
#endif /* _STLP_MEMBER_TEMPLATES */
// Element access.
value_type real() const { return _M_re; }
value_type imag() const { return _M_im; }
// Arithmetic op= operations involving one real argument.
_Self& operator= (const value_type& __x) {
_M_re = __x;
_M_im = 0;
return *this;
}
_Self& operator+= (const value_type& __x) {
_M_re += __x;
return *this;
}
_Self& operator-= (const value_type& __x) {
_M_re -= __x;
return *this;
}
_Self& operator*= (const value_type& __x) {
_M_re *= __x;
_M_im *= __x;
return *this;
}
_Self& operator/= (const value_type& __x) {
_M_re /= __x;
_M_im /= __x;
return *this;
}
// Arithmetic op= operations involving two complex arguments.
static void _STLP_CALL _div(const value_type& __z1_r, const value_type& __z1_i,
const value_type& __z2_r, const value_type& __z2_i,
value_type& __res_r, value_type& __res_i);
static void _STLP_CALL _div(const value_type& __z1_r,
const value_type& __z2_r, const value_type& __z2_i,
value_type& __res_r, value_type& __res_i);
#if defined (_STLP_MEMBER_TEMPLATES) // && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER)
template <class _Tp2> _Self& operator+= (const complex<_Tp2>& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
template <class _Tp2> _Self& operator-= (const complex<_Tp2>& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
template <class _Tp2> _Self& operator*= (const complex<_Tp2>& __z) {
value_type __r = _M_re * __z._M_re - _M_im * __z._M_im;
value_type __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
template <class _Tp2> _Self& operator/= (const complex<_Tp2>& __z) {
value_type __r;
value_type __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
#endif /* _STLP_MEMBER_TEMPLATES */
_Self& operator+= (const _Self& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
_Self& operator-= (const _Self& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
_Self& operator*= (const _Self& __z) {
value_type __r = _M_re * __z._M_re - _M_im * __z._M_im;
value_type __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
_Self& operator/= (const _Self& __z) {
value_type __r;
value_type __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
// Data members.
value_type _M_re;
value_type _M_im;
};
// Explicit specializations for float, double, long double. The only
// reason for these specializations is to enable automatic conversions
// from complex<float> to complex<double>, and complex<double> to
// complex<long double>.
_STLP_TEMPLATE_NULL
struct _STLP_CLASS_DECLSPEC complex<float> {
typedef float value_type;
typedef complex<float> _Self;
// Constructors, destructor, assignment operator.
complex(value_type __x = 0.0f, value_type __y = 0.0f)
: _M_re(__x), _M_im(__y) {}
complex(const complex<float>& __z) : _M_re(__z._M_re), _M_im(__z._M_im) {}
inline explicit complex(const complex<double>& __z);
#ifndef _STLP_NO_LONG_DOUBLE
inline explicit complex(const complex<long double>& __z);
#endif
// Element access.
value_type real() const { return _M_re; }
value_type imag() const { return _M_im; }
// Arithmetic op= operations involving one real argument.
_Self& operator= (value_type __x) {
_M_re = __x;
_M_im = 0.0f;
return *this;
}
_Self& operator+= (value_type __x) {
_M_re += __x;
return *this;
}
_Self& operator-= (value_type __x) {
_M_re -= __x;
return *this;
}
_Self& operator*= (value_type __x) {
_M_re *= __x;
_M_im *= __x;
return *this;
}
_Self& operator/= (value_type __x) {
_M_re /= __x;
_M_im /= __x;
return *this;
}
// Arithmetic op= operations involving two complex arguments.
static void _STLP_CALL _div(const float& __z1_r, const float& __z1_i,
const float& __z2_r, const float& __z2_i,
float& __res_r, float& __res_i);
static void _STLP_CALL _div(const float& __z1_r,
const float& __z2_r, const float& __z2_i,
float& __res_r, float& __res_i);
#if defined (_STLP_MEMBER_TEMPLATES)
template <class _Tp2>
complex<float>& operator=(const complex<_Tp2>& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
template <class _Tp2>
complex<float>& operator+= (const complex<_Tp2>& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
template <class _Tp2>
complex<float>& operator-= (const complex<_Tp2>& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
template <class _Tp2>
complex<float>& operator*= (const complex<_Tp2>& __z) {
float __r = _M_re * __z._M_re - _M_im * __z._M_im;
float __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
template <class _Tp2>
complex<float>& operator/= (const complex<_Tp2>& __z) {
float __r;
float __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
#endif /* _STLP_MEMBER_TEMPLATES */
_Self& operator=(const _Self& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
_Self& operator+= (const _Self& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
_Self& operator-= (const _Self& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
_Self& operator*= (const _Self& __z) {
value_type __r = _M_re * __z._M_re - _M_im * __z._M_im;
value_type __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
_Self& operator/= (const _Self& __z) {
value_type __r;
value_type __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
// Data members.
value_type _M_re;
value_type _M_im;
};
_STLP_TEMPLATE_NULL
struct _STLP_CLASS_DECLSPEC complex<double> {
typedef double value_type;
typedef complex<double> _Self;
// Constructors, destructor, assignment operator.
complex(value_type __x = 0.0, value_type __y = 0.0)
: _M_re(__x), _M_im(__y) {}
complex(const complex<double>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
inline complex(const complex<float>& __z);
#if !defined (_STLP_NO_LONG_DOUBLE)
explicit inline complex(const complex<long double>& __z);
#endif
// Element access.
value_type real() const { return _M_re; }
value_type imag() const { return _M_im; }
// Arithmetic op= operations involving one real argument.
_Self& operator= (value_type __x) {
_M_re = __x;
_M_im = 0.0;
return *this;
}
_Self& operator+= (value_type __x) {
_M_re += __x;
return *this;
}
_Self& operator-= (value_type __x) {
_M_re -= __x;
return *this;
}
_Self& operator*= (value_type __x) {
_M_re *= __x;
_M_im *= __x;
return *this;
}
_Self& operator/= (value_type __x) {
_M_re /= __x;
_M_im /= __x;
return *this;
}
// Arithmetic op= operations involving two complex arguments.
static void _STLP_CALL _div(const double& __z1_r, const double& __z1_i,
const double& __z2_r, const double& __z2_i,
double& __res_r, double& __res_i);
static void _STLP_CALL _div(const double& __z1_r,
const double& __z2_r, const double& __z2_i,
double& __res_r, double& __res_i);
#if defined (_STLP_MEMBER_TEMPLATES) && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER)
template <class _Tp2>
complex<double>& operator=(const complex<_Tp2>& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
template <class _Tp2>
complex<double>& operator+= (const complex<_Tp2>& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
template <class _Tp2>
complex<double>& operator-= (const complex<_Tp2>& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
template <class _Tp2>
complex<double>& operator*= (const complex<_Tp2>& __z) {
double __r = _M_re * __z._M_re - _M_im * __z._M_im;
double __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
template <class _Tp2>
complex<double>& operator/= (const complex<_Tp2>& __z) {
double __r;
double __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
#endif /* _STLP_MEMBER_TEMPLATES */
_Self& operator=(const _Self& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
_Self& operator+= (const _Self& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
_Self& operator-= (const _Self& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
_Self& operator*= (const _Self& __z) {
value_type __r = _M_re * __z._M_re - _M_im * __z._M_im;
value_type __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
_Self& operator/= (const _Self& __z) {
value_type __r;
value_type __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
// Data members.
value_type _M_re;
value_type _M_im;
};
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_TEMPLATE_NULL
struct _STLP_CLASS_DECLSPEC complex<long double> {
typedef long double value_type;
typedef complex<long double> _Self;
// Constructors, destructor, assignment operator.
complex(value_type __x = 0.0l, value_type __y = 0.0l)
: _M_re(__x), _M_im(__y) {}
complex(const complex<long double>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
inline complex(const complex<float>& __z);
inline complex(const complex<double>& __z);
// Element access.
value_type real() const { return _M_re; }
value_type imag() const { return _M_im; }
// Arithmetic op= operations involving one real argument.
_Self& operator= (value_type __x) {
_M_re = __x;
_M_im = 0.0l;
return *this;
}
_Self& operator+= (value_type __x) {
_M_re += __x;
return *this;
}
_Self& operator-= (value_type __x) {
_M_re -= __x;
return *this;
}
_Self& operator*= (value_type __x) {
_M_re *= __x;
_M_im *= __x;
return *this;
}
_Self& operator/= (value_type __x) {
_M_re /= __x;
_M_im /= __x;
return *this;
}
// Arithmetic op= operations involving two complex arguments.
static void _STLP_CALL _div(const long double& __z1_r, const long double& __z1_i,
const long double& __z2_r, const long double& __z2_i,
long double& __res_r, long double& __res_i);
static void _STLP_CALL _div(const long double& __z1_r,
const long double& __z2_r, const long double& __z2_i,
long double& __res_r, long double& __res_i);
# if defined (_STLP_MEMBER_TEMPLATES) && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER)
template <class _Tp2>
complex<long double>& operator=(const complex<_Tp2>& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
template <class _Tp2>
complex<long double>& operator+= (const complex<_Tp2>& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
template <class _Tp2>
complex<long double>& operator-= (const complex<_Tp2>& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
template <class _Tp2>
complex<long double>& operator*= (const complex<_Tp2>& __z) {
long double __r = _M_re * __z._M_re - _M_im * __z._M_im;
long double __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
template <class _Tp2>
complex<long double>& operator/= (const complex<_Tp2>& __z) {
long double __r;
long double __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
# endif /* _STLP_MEMBER_TEMPLATES */
_Self& operator=(const _Self& __z) {
_M_re = __z._M_re;
_M_im = __z._M_im;
return *this;
}
_Self& operator+= (const _Self& __z) {
_M_re += __z._M_re;
_M_im += __z._M_im;
return *this;
}
_Self& operator-= (const _Self& __z) {
_M_re -= __z._M_re;
_M_im -= __z._M_im;
return *this;
}
_Self& operator*= (const _Self& __z) {
value_type __r = _M_re * __z._M_re - _M_im * __z._M_im;
value_type __i = _M_re * __z._M_im + _M_im * __z._M_re;
_M_re = __r;
_M_im = __i;
return *this;
}
_Self& operator/= (const _Self& __z) {
value_type __r;
value_type __i;
_div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i);
_M_re = __r;
_M_im = __i;
return *this;
}
// Data members.
value_type _M_re;
value_type _M_im;
};
#endif /* _STLP_NO_LONG_DOUBLE */
// Converting constructors from one of these three specialized types
// to another.
inline complex<float>::complex(const complex<double>& __z)
: _M_re((float)__z._M_re), _M_im((float)__z._M_im) {}
inline complex<double>::complex(const complex<float>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
#ifndef _STLP_NO_LONG_DOUBLE
inline complex<float>::complex(const complex<long double>& __z)
: _M_re((float)__z._M_re), _M_im((float)__z._M_im) {}
inline complex<double>::complex(const complex<long double>& __z)
: _M_re((double)__z._M_re), _M_im((double)__z._M_im) {}
inline complex<long double>::complex(const complex<float>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
inline complex<long double>::complex(const complex<double>& __z)
: _M_re(__z._M_re), _M_im(__z._M_im) {}
#endif
// Unary non-member arithmetic operators.
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator+(const complex<_Tp>& __z)
{ return __z; }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator-(const complex<_Tp>& __z)
{ return complex<_Tp>(-__z._M_re, -__z._M_im); }
// Non-member arithmetic operations involving one real argument.
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator+(const _Tp& __x, const complex<_Tp>& __z)
{ return complex<_Tp>(__x + __z._M_re, __z._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator+(const complex<_Tp>& __z, const _Tp& __x)
{ return complex<_Tp>(__z._M_re + __x, __z._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator-(const _Tp& __x, const complex<_Tp>& __z)
{ return complex<_Tp>(__x - __z._M_re, -__z._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator-(const complex<_Tp>& __z, const _Tp& __x)
{ return complex<_Tp>(__z._M_re - __x, __z._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator*(const _Tp& __x, const complex<_Tp>& __z)
{ return complex<_Tp>(__x * __z._M_re, __x * __z._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator*(const complex<_Tp>& __z, const _Tp& __x)
{ return complex<_Tp>(__z._M_re * __x, __z._M_im * __x); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator/(const _Tp& __x, const complex<_Tp>& __z) {
complex<_Tp> __result;
complex<_Tp>::_div(__x,
__z._M_re, __z._M_im,
__result._M_re, __result._M_im);
return __result;
}
template <class _Tp>
inline complex<_Tp> _STLP_CALL operator/(const complex<_Tp>& __z, const _Tp& __x)
{ return complex<_Tp>(__z._M_re / __x, __z._M_im / __x); }
// Non-member arithmetic operations involving two complex arguments
template <class _Tp>
inline complex<_Tp> _STLP_CALL
operator+(const complex<_Tp>& __z1, const complex<_Tp>& __z2)
{ return complex<_Tp>(__z1._M_re + __z2._M_re, __z1._M_im + __z2._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL
operator-(const complex<_Tp>& __z1, const complex<_Tp>& __z2)
{ return complex<_Tp>(__z1._M_re - __z2._M_re, __z1._M_im - __z2._M_im); }
template <class _Tp>
inline complex<_Tp> _STLP_CALL
operator*(const complex<_Tp>& __z1, const complex<_Tp>& __z2) {
return complex<_Tp>(__z1._M_re * __z2._M_re - __z1._M_im * __z2._M_im,
__z1._M_re * __z2._M_im + __z1._M_im * __z2._M_re);
}
template <class _Tp>
inline complex<_Tp> _STLP_CALL
operator/(const complex<_Tp>& __z1, const complex<_Tp>& __z2) {
complex<_Tp> __result;
complex<_Tp>::_div(__z1._M_re, __z1._M_im,
__z2._M_re, __z2._M_im,
__result._M_re, __result._M_im);
return __result;
}
// Comparison operators.
template <class _Tp>
inline bool _STLP_CALL operator==(const complex<_Tp>& __z1, const complex<_Tp>& __z2)
{ return __z1._M_re == __z2._M_re && __z1._M_im == __z2._M_im; }
template <class _Tp>
inline bool _STLP_CALL operator==(const complex<_Tp>& __z, const _Tp& __x)
{ return __z._M_re == __x && __z._M_im == 0; }
template <class _Tp>
inline bool _STLP_CALL operator==(const _Tp& __x, const complex<_Tp>& __z)
{ return __x == __z._M_re && 0 == __z._M_im; }
//04/27/04 dums: removal of this check, if it is restablish
//please explain why the other operators are not macro guarded
//#ifdef _STLP_FUNCTION_TMPL_PARTIAL_ORDER
template <class _Tp>
inline bool _STLP_CALL operator!=(const complex<_Tp>& __z1, const complex<_Tp>& __z2)
{ return __z1._M_re != __z2._M_re || __z1._M_im != __z2._M_im; }
//#endif /* _STLP_FUNCTION_TMPL_PARTIAL_ORDER */
template <class _Tp>
inline bool _STLP_CALL operator!=(const complex<_Tp>& __z, const _Tp& __x)
{ return __z._M_re != __x || __z._M_im != 0; }
template <class _Tp>
inline bool _STLP_CALL operator!=(const _Tp& __x, const complex<_Tp>& __z)
{ return __x != __z._M_re || 0 != __z._M_im; }
// Other basic arithmetic operations
template <class _Tp>
inline _Tp _STLP_CALL real(const complex<_Tp>& __z)
{ return __z._M_re; }
template <class _Tp>
inline _Tp _STLP_CALL imag(const complex<_Tp>& __z)
{ return __z._M_im; }
template <class _Tp>
_Tp _STLP_CALL abs(const complex<_Tp>& __z);
template <class _Tp>
_Tp _STLP_CALL arg(const complex<_Tp>& __z);
template <class _Tp>
inline _Tp _STLP_CALL norm(const complex<_Tp>& __z)
{ return __z._M_re * __z._M_re + __z._M_im * __z._M_im; }
template <class _Tp>
inline complex<_Tp> _STLP_CALL conj(const complex<_Tp>& __z)
{ return complex<_Tp>(__z._M_re, -__z._M_im); }
template <class _Tp>
complex<_Tp> _STLP_CALL polar(const _Tp& __rho)
{ return complex<_Tp>(__rho, 0); }
template <class _Tp>
complex<_Tp> _STLP_CALL polar(const _Tp& __rho, const _Tp& __phi);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC float _STLP_CALL abs(const complex<float>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC double _STLP_CALL abs(const complex<double>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC float _STLP_CALL arg(const complex<float>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC double _STLP_CALL arg(const complex<double>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<float> _STLP_CALL polar(const float& __rho, const float& __phi);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<double> _STLP_CALL polar(const double& __rho, const double& __phi);
template <class _Tp>
_Tp _STLP_CALL abs(const complex<_Tp>& __z)
{ return _Tp(abs(complex<double>(double(__z.real()), double(__z.imag())))); }
template <class _Tp>
_Tp _STLP_CALL arg(const complex<_Tp>& __z)
{ return _Tp(arg(complex<double>(double(__z.real()), double(__z.imag())))); }
template <class _Tp>
complex<_Tp> _STLP_CALL polar(const _Tp& __rho, const _Tp& __phi) {
complex<double> __tmp = polar(double(__rho), double(__phi));
return complex<_Tp>(_Tp(__tmp.real()), _Tp(__tmp.imag()));
}
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC long double _STLP_CALL arg(const complex<long double>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC long double _STLP_CALL abs(const complex<long double>&);
_STLP_TEMPLATE_NULL
_STLP_DECLSPEC complex<long double> _STLP_CALL polar(const long double&, const long double&);
#endif
#if !defined (_STLP_USE_NO_IOSTREAMS)
_STLP_END_NAMESPACE
# ifndef _STLP_INTERNAL_IOSFWD
# include <stl/_iosfwd.h>
# endif
_STLP_BEGIN_NAMESPACE
// Complex output, in the form (re,im). We use a two-step process
// involving stringstream so that we get the padding right.
template <class _Tp, class _CharT, class _Traits>
basic_ostream<_CharT, _Traits>& _STLP_CALL
operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __z);
template <class _Tp, class _CharT, class _Traits>
basic_istream<_CharT, _Traits>& _STLP_CALL
operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __z);
// Specializations for narrow characters; lets us avoid widen.
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_istream<char, char_traits<char> >& _STLP_CALL
operator>>(basic_istream<char, char_traits<char> >& __is, complex<float>& __z);
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_istream<char, char_traits<char> >& _STLP_CALL
operator>>(basic_istream<char, char_traits<char> >& __is, complex<double>& __z);
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_ostream<char, char_traits<char> >& _STLP_CALL
operator<<(basic_ostream<char, char_traits<char> >& __is, const complex<float>& __z);
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_ostream<char, char_traits<char> >& _STLP_CALL
operator<<(basic_ostream<char, char_traits<char> >& __is, const complex<double>& __z);
# if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_istream<char, char_traits<char> >& _STLP_CALL
operator>>(basic_istream<char, char_traits<char> >& __is, complex<long double>& __z);
_STLP_OPERATOR_TEMPLATE
_STLP_DECLSPEC basic_ostream<char, char_traits<char> >& _STLP_CALL
operator<<(basic_ostream<char, char_traits<char> >& __is, const complex<long double>& __z);
# endif
# if defined (_STLP_USE_TEMPLATE_EXPORT) && ! defined (_STLP_NO_WCHAR_T)
_STLP_EXPORT_TEMPLATE basic_istream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator>>(basic_istream<wchar_t, char_traits<wchar_t> >&, complex<double>&);
_STLP_EXPORT_TEMPLATE basic_ostream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator<<(basic_ostream<wchar_t, char_traits<wchar_t> >&, const complex<double>&);
_STLP_EXPORT_TEMPLATE basic_istream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator>>(basic_istream<wchar_t, char_traits<wchar_t> >&, complex<float>&);
_STLP_EXPORT_TEMPLATE basic_ostream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator<<(basic_ostream<wchar_t, char_traits<wchar_t> >&, const complex<float>&);
# if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_EXPORT_TEMPLATE basic_istream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator>>(basic_istream<wchar_t, char_traits<wchar_t> >&, complex<long double>&);
_STLP_EXPORT_TEMPLATE basic_ostream<wchar_t, char_traits<wchar_t> >& _STLP_CALL
operator<<(basic_ostream<wchar_t, char_traits<wchar_t> >&, const complex<long double>&);
# endif
# endif
#endif
// Transcendental functions. These are defined only for float,
// double, and long double. (Sqrt isn't transcendental, of course,
// but it's included in this section anyway.)
_STLP_DECLSPEC complex<float> _STLP_CALL sqrt(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL exp(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL log(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL log10(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>&, int);
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>&, const float&);
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const float&, const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>&, const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL sin(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL cos(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL tan(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL sinh(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL cosh(const complex<float>&);
_STLP_DECLSPEC complex<float> _STLP_CALL tanh(const complex<float>&);
_STLP_DECLSPEC complex<double> _STLP_CALL sqrt(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL exp(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL log(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL log10(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>&, int);
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>&, const double&);
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const double&, const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>&, const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL sin(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL cos(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL tan(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL sinh(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL cosh(const complex<double>&);
_STLP_DECLSPEC complex<double> _STLP_CALL tanh(const complex<double>&);
#if !defined (_STLP_NO_LONG_DOUBLE)
_STLP_DECLSPEC complex<long double> _STLP_CALL sqrt(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL exp(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL log(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL log10(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>&, int);
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>&, const long double&);
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const long double&, const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>&,
const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL sin(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL cos(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL tan(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL sinh(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL cosh(const complex<long double>&);
_STLP_DECLSPEC complex<long double> _STLP_CALL tanh(const complex<long double>&);
#endif
_STLP_END_NAMESPACE
#ifndef _STLP_LINK_TIME_INSTANTIATION
# include <stl/_complex.c>
#endif
#endif
// Local Variables:
// mode:C++
// End: