williamr@2: /* williamr@2: * Copyright (c) 1999 williamr@2: * Silicon Graphics Computer Systems, Inc. williamr@2: * williamr@2: * Copyright (c) 1999 williamr@2: * Boris Fomitchev williamr@2: * williamr@2: * This material is provided "as is", with absolutely no warranty expressed williamr@2: * or implied. Any use is at your own risk. williamr@2: * williamr@2: * Permission to use or copy this software for any purpose is hereby granted williamr@2: * without fee, provided the above notices are retained on all copies. williamr@2: * Permission to modify the code and to distribute modified code is granted, williamr@2: * provided the above notices are retained, and a notice that the code was williamr@2: * modified is included with the above copyright notice. williamr@2: * williamr@2: */ williamr@2: #ifndef _STLP_internal_complex_h williamr@2: #define _STLP_internal_complex_h williamr@2: williamr@2: // This header declares the template class complex, as described in williamr@2: // in the draft C++ standard. Single-precision complex numbers williamr@2: // are complex, double-precision are complex, and williamr@2: // quad precision are complex. williamr@2: williamr@2: // Note that the template class complex is declared within namespace williamr@2: // std, as called for by the draft C++ standard. williamr@2: williamr@2: #include williamr@2: #include williamr@2: williamr@2: _STLP_BEGIN_NAMESPACE williamr@2: williamr@2: #if !defined(_STLP_NO_COMPLEX_SPECIALIZATIONS) //*TY 02/25/2000 - added for MPW compiler workaround williamr@2: williamr@2: template struct complex; williamr@2: williamr@2: _STLP_TEMPLATE_NULL struct _STLP_CLASS_DECLSPEC complex; williamr@2: _STLP_TEMPLATE_NULL struct _STLP_CLASS_DECLSPEC complex; williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: _STLP_TEMPLATE_NULL struct _STLP_CLASS_DECLSPEC complex; williamr@2: # endif williamr@2: # endif williamr@2: williamr@2: template williamr@2: struct complex { williamr@2: typedef _Tp value_type; williamr@2: typedef complex<_Tp> _Self; williamr@2: williamr@2: // Constructors, destructor, assignment operator. williamr@2: complex() : _M_re(0), _M_im(0) {} williamr@2: complex(const value_type& __x) williamr@2: : _M_re(__x), _M_im(0) {} williamr@2: complex(const value_type& __x, const value_type& __y) williamr@2: : _M_re(__x), _M_im(__y) {} williamr@2: complex(const _Self& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: williamr@2: _Self& operator=(const _Self& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: #if defined (_STLP_MEMBER_TEMPLATES) && ( defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER) || defined(_STLP_NO_COMPLEX_SPECIALIZATIONS)) williamr@2: template williamr@2: explicit complex(const complex<_Tp2>& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: williamr@2: template williamr@2: _Self& operator=(const complex<_Tp2>& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: #endif /* _STLP_MEMBER_TEMPLATES */ williamr@2: williamr@2: // Element access. williamr@2: value_type real() const { return _M_re; } williamr@2: value_type imag() const { return _M_im; } williamr@2: williamr@2: // Arithmetic op= operations involving one real argument. williamr@2: williamr@2: _Self& operator= (const value_type& __x) { williamr@2: _M_re = __x; williamr@2: _M_im = 0; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator+= (const value_type& __x) { williamr@2: _M_re += __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator-= (const value_type& __x) { williamr@2: _M_re -= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator*= (const value_type& __x) { williamr@2: _M_re *= __x; williamr@2: _M_im *= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator/= (const value_type& __x) { williamr@2: _M_re /= __x; williamr@2: _M_im /= __x; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Arithmetic op= operations involving two complex arguments. williamr@2: williamr@2: static void _STLP_CALL _div(const value_type& __z1_r, const value_type& __z1_i, williamr@2: const value_type& __z2_r, const value_type& __z2_i, williamr@2: value_type& __res_r, value_type& __res_i); williamr@2: williamr@2: static void _STLP_CALL _div(const value_type& __z1_r, williamr@2: const value_type& __z2_r, const value_type& __z2_i, williamr@2: value_type& __res_r, value_type& __res_i); williamr@2: williamr@2: #if defined ( _STLP_MEMBER_TEMPLATES ) // && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER) williamr@2: williamr@2: template _Self& operator+= (const complex<_Tp2>& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template _Self& operator-= (const complex<_Tp2>& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template _Self& operator*= (const complex<_Tp2>& __z) { williamr@2: value_type __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: value_type __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template _Self& operator/= (const complex<_Tp2>& __z) { williamr@2: value_type __r; williamr@2: value_type __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: #endif /* _STLP_MEMBER_TEMPLATES */ williamr@2: williamr@2: _Self& operator+= (const _Self& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator-= (const _Self& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator*= (const _Self& __z) { williamr@2: value_type __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: value_type __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator/= (const _Self& __z) { williamr@2: value_type __r; williamr@2: value_type __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Data members. williamr@2: value_type _M_re; williamr@2: value_type _M_im; williamr@2: }; williamr@2: williamr@2: #if !defined(_STLP_NO_COMPLEX_SPECIALIZATIONS) //*TY 02/25/2000 - added for MPW compiler workaround williamr@2: // Explicit specializations for float, double, long double. The only williamr@2: // reason for these specializations is to enable automatic conversions williamr@2: // from complex to complex, and complex to williamr@2: // complex. williamr@2: williamr@2: williamr@2: _STLP_TEMPLATE_NULL williamr@2: struct _STLP_CLASS_DECLSPEC complex { williamr@2: typedef float value_type; williamr@2: typedef complex _Self; williamr@2: // Constructors, destructor, assignment operator. williamr@2: williamr@2: complex(value_type __x = 0.0, value_type __y = 0.0) williamr@2: : _M_re(__x), _M_im(__y) {} williamr@2: williamr@2: complex(const complex& __z) : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: williamr@2: inline explicit complex(const complex& __z); williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: inline explicit complex(const complex& __z); williamr@2: # endif williamr@2: // Element access. williamr@2: value_type real() const { return _M_re; } williamr@2: value_type imag() const { return _M_im; } williamr@2: williamr@2: // Arithmetic op= operations involving one real argument. williamr@2: williamr@2: _Self& operator= (value_type __x) { williamr@2: _M_re = __x; williamr@2: _M_im = 0; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator+= (value_type __x) { williamr@2: _M_re += __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator-= (value_type __x) { williamr@2: _M_re -= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator*= (value_type __x) { williamr@2: _M_re *= __x; williamr@2: _M_im *= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator/= (value_type __x) { williamr@2: _M_re /= __x; williamr@2: _M_im /= __x; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Arithmetic op= operations involving two complex arguments. williamr@2: williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const float& __z1_r, const float& __z1_i, williamr@2: const float& __z2_r, const float& __z2_i, williamr@2: float& __res_r, float& __res_i); williamr@2: williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const float& __z1_r, williamr@2: const float& __z2_r, const float& __z2_i, williamr@2: float& __res_r, float& __res_i); williamr@2: williamr@2: #if defined (_STLP_MEMBER_TEMPLATES) williamr@2: williamr@2: template williamr@2: complex& operator=(const complex<_Tp2>& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator+= (const complex<_Tp2>& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator-= (const complex<_Tp2>& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator*= (const complex<_Tp2>& __z) { williamr@2: float __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: float __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator/= (const complex<_Tp2>& __z) { williamr@2: float __r; williamr@2: float __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: #endif /* _STLP_MEMBER_TEMPLATES */ williamr@2: williamr@2: _Self& operator=(const _Self& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator+= (const _Self& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator-= (const _Self& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator*= (const _Self& __z) { williamr@2: value_type __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: value_type __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator/= (const _Self& __z) { williamr@2: value_type __r; williamr@2: value_type __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Data members. williamr@2: value_type _M_re; williamr@2: value_type _M_im; williamr@2: }; williamr@2: williamr@2: _STLP_TEMPLATE_NULL struct _STLP_CLASS_DECLSPEC complex { williamr@2: typedef double value_type; williamr@2: typedef complex _Self; williamr@2: williamr@2: // Constructors, destructor, assignment operator. williamr@2: williamr@2: complex(value_type __x = 0.0, value_type __y = 0.0) williamr@2: : _M_re(__x), _M_im(__y) {} williamr@2: williamr@2: complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex(const complex& __z); williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: explicit inline complex(const complex& __z); williamr@2: # endif williamr@2: // Element access. williamr@2: value_type real() const { return _M_re; } williamr@2: value_type imag() const { return _M_im; } williamr@2: williamr@2: // Arithmetic op= operations involving one real argument. williamr@2: williamr@2: _Self& operator= (value_type __x) { williamr@2: _M_re = __x; williamr@2: _M_im = 0; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator+= (value_type __x) { williamr@2: _M_re += __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator-= (value_type __x) { williamr@2: _M_re -= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator*= (value_type __x) { williamr@2: _M_re *= __x; williamr@2: _M_im *= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator/= (value_type __x) { williamr@2: _M_re /= __x; williamr@2: _M_im /= __x; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Arithmetic op= operations involving two complex arguments. williamr@2: williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const double& __z1_r, const double& __z1_i, williamr@2: const double& __z2_r, const double& __z2_i, williamr@2: double& __res_r, double& __res_i); williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const double& __z1_r, williamr@2: const double& __z2_r, const double& __z2_i, williamr@2: double& __res_r, double& __res_i); williamr@2: williamr@2: #if defined (_STLP_MEMBER_TEMPLATES) && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER) williamr@2: williamr@2: template williamr@2: complex& operator=(const complex<_Tp2>& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator+= (const complex<_Tp2>& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator-= (const complex<_Tp2>& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator*= (const complex<_Tp2>& __z) { williamr@2: double __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: double __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator/= (const complex<_Tp2>& __z) { williamr@2: double __r; williamr@2: double __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: #endif /* _STLP_MEMBER_TEMPLATES */ williamr@2: williamr@2: _Self& operator=(const _Self& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator+= (const _Self& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator-= (const _Self& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator*= (const _Self& __z) { williamr@2: value_type __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: value_type __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator/= (const _Self& __z) { williamr@2: value_type __r; williamr@2: value_type __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Data members. williamr@2: value_type _M_re; williamr@2: value_type _M_im; williamr@2: }; williamr@2: williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: williamr@2: _STLP_TEMPLATE_NULL struct _STLP_CLASS_DECLSPEC complex { williamr@2: typedef long double value_type; williamr@2: typedef complex _Self; williamr@2: williamr@2: // Constructors, destructor, assignment operator. williamr@2: complex(value_type __x = 0.0, value_type __y = 0.0) williamr@2: : _M_re(__x), _M_im(__y) {} williamr@2: williamr@2: complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex(const complex& __z); williamr@2: inline complex(const complex& __z); williamr@2: williamr@2: // Element access. williamr@2: value_type real() const { return _M_re; } williamr@2: value_type imag() const { return _M_im; } williamr@2: williamr@2: // Arithmetic op= operations involving one real argument. williamr@2: williamr@2: _Self& operator= (value_type __x) { williamr@2: _M_re = __x; williamr@2: _M_im = 0; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator+= (value_type __x) { williamr@2: _M_re += __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator-= (value_type __x) { williamr@2: _M_re -= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator*= (value_type __x) { williamr@2: _M_re *= __x; williamr@2: _M_im *= __x; williamr@2: return *this; williamr@2: } williamr@2: _Self& operator/= (value_type __x) { williamr@2: _M_re /= __x; williamr@2: _M_im /= __x; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Arithmetic op= operations involving two complex arguments. williamr@2: williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const long double& __z1_r, const long double& __z1_i, williamr@2: const long double& __z2_r, const long double& __z2_i, williamr@2: long double& __res_r, long double& __res_i); williamr@2: williamr@2: _STLP_DECLSPEC static void _STLP_CALL _div(const long double& __z1_r, williamr@2: const long double& __z2_r, const long double& __z2_i, williamr@2: long double& __res_r, long double& __res_i); williamr@2: williamr@2: #if defined (_STLP_MEMBER_TEMPLATES) && defined (_STLP_FUNCTION_TMPL_PARTIAL_ORDER) williamr@2: williamr@2: template williamr@2: complex& operator=(const complex<_Tp2>& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator+= (const complex<_Tp2>& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator-= (const complex<_Tp2>& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator*= (const complex<_Tp2>& __z) { williamr@2: long double __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: long double __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: template williamr@2: complex& operator/= (const complex<_Tp2>& __z) { williamr@2: long double __r; williamr@2: long double __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: #endif /* _STLP_MEMBER_TEMPLATES */ williamr@2: williamr@2: _Self& operator=(const _Self& __z) { williamr@2: _M_re = __z._M_re; williamr@2: _M_im = __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator+= (const _Self& __z) { williamr@2: _M_re += __z._M_re; williamr@2: _M_im += __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator-= (const _Self& __z) { williamr@2: _M_re -= __z._M_re; williamr@2: _M_im -= __z._M_im; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator*= (const _Self& __z) { williamr@2: value_type __r = _M_re * __z._M_re - _M_im * __z._M_im; williamr@2: value_type __i = _M_re * __z._M_im + _M_im * __z._M_re; williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: _Self& operator/= (const _Self& __z) { williamr@2: value_type __r; williamr@2: value_type __i; williamr@2: _div(_M_re, _M_im, __z._M_re, __z._M_im, __r, __i); williamr@2: _M_re = __r; williamr@2: _M_im = __i; williamr@2: return *this; williamr@2: } williamr@2: williamr@2: // Data members. williamr@2: value_type _M_re; williamr@2: value_type _M_im; williamr@2: }; williamr@2: williamr@2: # endif /* _STLP_NO_LONG_DOUBLE */ williamr@2: williamr@2: // Converting constructors from one of these three specialized types williamr@2: // to another. williamr@2: williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: inline complex::complex(const complex& __z) williamr@2: : _M_re(__z._M_re), _M_im(__z._M_im) {} williamr@2: # endif williamr@2: williamr@2: # endif /* SPECIALIZATIONS */ williamr@2: williamr@2: // Unary non-member arithmetic operators. williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator+(const complex<_Tp>& __z) { williamr@2: return __z; williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator-(const complex<_Tp>& __z) { williamr@2: return complex<_Tp>(-__z._M_re, -__z._M_im); williamr@2: } williamr@2: williamr@2: // Non-member arithmetic operations involving one real argument. williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator+(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: return complex<_Tp>(__x + __z._M_re, __z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator+(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return complex<_Tp>(__z._M_re + __x, __z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator-(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: return complex<_Tp>(__x - __z._M_re, -__z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator-(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return complex<_Tp>(__z._M_re - __x, __z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator*(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: return complex<_Tp>(__x * __z._M_re, __x * __z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator*(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return complex<_Tp>(__z._M_re * __x, __z._M_im * __x); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator/(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: complex<_Tp> __result; williamr@2: complex<_Tp>::_div(__x, williamr@2: __z._M_re, __z._M_im, williamr@2: __result._M_re, __result._M_im); williamr@2: return __result; williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL operator/(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return complex<_Tp>(__z._M_re / __x, __z._M_im / __x); williamr@2: } williamr@2: williamr@2: // Non-member arithmetic operations involving two complex arguments williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL williamr@2: operator+(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: return complex<_Tp>(__z1._M_re + __z2._M_re, __z1._M_im + __z2._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL williamr@2: operator-(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: return complex<_Tp>(__z1._M_re - __z2._M_re, __z1._M_im - __z2._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL williamr@2: operator*(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: return complex<_Tp>(__z1._M_re * __z2._M_re - __z1._M_im * __z2._M_im, williamr@2: __z1._M_re * __z2._M_im + __z1._M_im * __z2._M_re); williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL williamr@2: operator/(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: complex<_Tp> __result; williamr@2: complex<_Tp>::_div(__z1._M_re, __z1._M_im, williamr@2: __z2._M_re, __z2._M_im, williamr@2: __result._M_re, __result._M_im); williamr@2: return __result; williamr@2: } williamr@2: williamr@2: // Comparison operators. williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator==(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: return __z1._M_re == __z2._M_re && __z1._M_im == __z2._M_im; williamr@2: } williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator==(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return __z._M_re == __x && __z._M_im == 0; williamr@2: } williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator==(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: return __x == __z._M_re && 0 == __z._M_im; williamr@2: } williamr@2: williamr@2: #ifdef _STLP_FUNCTION_TMPL_PARTIAL_ORDER williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator!=(const complex<_Tp>& __z1, const complex<_Tp>& __z2) { williamr@2: return __z1._M_re != __z2._M_re || __z1._M_im != __z2._M_im; williamr@2: } williamr@2: williamr@2: #endif /* _STLP_FUNCTION_TMPL_PARTIAL_ORDER */ williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator!=(const complex<_Tp>& __z, const _Tp& __x) { williamr@2: return __z._M_re != __x || __z._M_im != 0; williamr@2: } williamr@2: williamr@2: template williamr@2: inline bool _STLP_CALL operator!=(const _Tp& __x, const complex<_Tp>& __z) { williamr@2: return __x != __z._M_re || 0 != __z._M_im; williamr@2: } williamr@2: williamr@2: // Other basic arithmetic operations williamr@2: williamr@2: template williamr@2: inline _Tp _STLP_CALL real(const complex<_Tp>& __z) { williamr@2: return __z._M_re; williamr@2: } williamr@2: williamr@2: template williamr@2: inline _Tp _STLP_CALL imag(const complex<_Tp>& __z) { williamr@2: return __z._M_im; williamr@2: } williamr@2: williamr@2: #ifdef __SYMBIAN32__ williamr@2: template williamr@2: #ifdef __WINSCW__ williamr@2: _STLP_DECLSPEC williamr@2: #endif williamr@2: _Tp _STLP_CALL abs_tp(const complex<_Tp>&); williamr@2: williamr@2: template williamr@2: #ifdef __WINSCW__ williamr@2: _STLP_DECLSPEC williamr@2: #endif williamr@2: _Tp _STLP_CALL arg_tp(const complex<_Tp>&); williamr@2: williamr@2: template williamr@2: #ifdef __WINSCW__ williamr@2: _STLP_DECLSPEC williamr@2: #endif williamr@2: complex<_Tp> _STLP_CALL polar_tp(const _Tp& __rho, const _Tp& __phi); williamr@2: williamr@2: template williamr@2: _Tp _STLP_CALL abs(const complex<_Tp>& __z) williamr@2: { williamr@2: return abs_tp(__z); williamr@2: } williamr@2: williamr@2: template williamr@2: _Tp _STLP_CALL arg(const complex<_Tp>& __z) williamr@2: { williamr@2: return arg_tp(__z); williamr@2: } williamr@2: williamr@2: template williamr@2: complex<_Tp> _STLP_CALL polar(const _Tp& __rho, const _Tp& __phi) { williamr@2: return polar_tp(__rho, __phi); williamr@2: } williamr@2: williamr@2: #else williamr@2: template williamr@2: _Tp _STLP_CALL abs(const complex<_Tp>& __z) { williamr@2: return _Tp(abs(complex(double(__z.real()), double(__z.imag())))); williamr@2: } williamr@2: williamr@2: template williamr@2: _Tp _STLP_CALL arg(const complex<_Tp>& __z) { williamr@2: return _Tp(arg(complex(double(__z.real()), double(__z.imag())))); williamr@2: } williamr@2: williamr@2: #endif williamr@2: williamr@2: williamr@2: template williamr@2: inline _Tp _STLP_CALL norm(const complex<_Tp>& __z) { williamr@2: return __z._M_re * __z._M_re + __z._M_im * __z._M_im; williamr@2: } williamr@2: williamr@2: template williamr@2: inline complex<_Tp> _STLP_CALL conj(const complex<_Tp>& __z) { williamr@2: return complex<_Tp>(__z._M_re, -__z._M_im); williamr@2: } williamr@2: williamr@2: template williamr@2: complex<_Tp> _STLP_CALL polar(const _Tp& __rho) { williamr@2: return complex<_Tp>(__rho, 0); williamr@2: } williamr@2: williamr@2: #ifndef __SYMBIAN32__ williamr@2: template williamr@2: complex<_Tp> _STLP_CALL polar(const _Tp& __rho, const _Tp& __phi) { williamr@2: complex __tmp = polar(double(__rho), double(__phi)); williamr@2: return complex<_Tp>(_Tp(__tmp.real()), _Tp(__tmp.imag())); williamr@2: } williamr@2: williamr@2: williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC float _STLP_CALL abs(const complex&); williamr@2: #ifndef _STLP_COMPLEX_SPECIALIZATION_BUG williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC double _STLP_CALL abs(const complex&); williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC double _STLP_CALL arg(const complex&); williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC complex _STLP_CALL polar(const double& __rho, const double& __phi); williamr@2: #endif williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC float _STLP_CALL arg(const complex&); williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC complex _STLP_CALL polar(const float& __rho, const float& __phi); williamr@2: williamr@2: williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC long double _STLP_CALL arg(const complex&); williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC long double _STLP_CALL abs(const complex&); williamr@2: _STLP_TEMPLATE_NULL williamr@2: _STLP_DECLSPEC complex _STLP_CALL polar(const long double&, const long double&); williamr@2: # endif williamr@2: #endif williamr@2: williamr@2: williamr@2: #ifdef _STLP_USE_NEW_IOSTREAMS williamr@2: williamr@2: // Complex output, in the form (re,im). We use a two-step process williamr@2: // involving stringstream so that we get the padding right. williamr@2: template williamr@2: basic_ostream<_CharT, _Traits>& _STLP_CALL williamr@2: operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __z); williamr@2: williamr@2: template williamr@2: basic_istream<_CharT, _Traits>& _STLP_CALL williamr@2: operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __z); williamr@2: williamr@2: // Specializations for narrow characters; lets us avoid widen. williamr@2: williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_istream >& _STLP_CALL williamr@2: operator>>(basic_istream >& __is, complex& __z); williamr@2: williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_istream >& _STLP_CALL williamr@2: operator>>(basic_istream >& __is, complex& __z); williamr@2: williamr@2: williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_ostream >& _STLP_CALL williamr@2: operator<<(basic_ostream >& __is, const complex& __z); williamr@2: williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_ostream >& _STLP_CALL williamr@2: operator<<(basic_ostream >& __is, const complex& __z); williamr@2: williamr@2: # if ! defined (_STLP_NO_LONG_DOUBLE) williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_istream >& _STLP_CALL williamr@2: operator>>(basic_istream >& __is, complex& __z); williamr@2: williamr@2: _STLP_OPERATOR_TEMPLATE williamr@2: _STLP_DECLSPEC basic_ostream >& _STLP_CALL williamr@2: operator<<(basic_ostream >& __is, const complex& __z); williamr@2: williamr@2: # endif williamr@2: williamr@2: # if defined (_STLP_USE_TEMPLATE_EXPORT) && ! defined (_STLP_NO_WCHAR_T) williamr@2: williamr@2: _STLP_EXPORT_TEMPLATE basic_istream >& _STLP_CALL operator>>( williamr@2: basic_istream >&, complex&); williamr@2: _STLP_EXPORT_TEMPLATE basic_ostream >& _STLP_CALL operator<<( williamr@2: basic_ostream >&, const complex&); williamr@2: _STLP_EXPORT_TEMPLATE basic_istream >& _STLP_CALL operator>>( williamr@2: basic_istream >&, complex&); williamr@2: _STLP_EXPORT_TEMPLATE basic_ostream >& _STLP_CALL operator<<( williamr@2: basic_ostream >&, const complex&); williamr@2: williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: _STLP_EXPORT_TEMPLATE basic_istream >& _STLP_CALL operator>>( williamr@2: basic_istream >&, complex&); williamr@2: _STLP_EXPORT_TEMPLATE basic_ostream >& _STLP_CALL operator<<( williamr@2: basic_ostream >&, const complex&); williamr@2: # endif williamr@2: williamr@2: # endif /* USE_TEMPLATE_EXPORT */ williamr@2: williamr@2: #else /* _STLP_USE_NEW_IOSTREAMS */ williamr@2: williamr@2: template williamr@2: ostream& _STLP_CALL operator<<(ostream& s, const complex<_Tp>& __z); williamr@2: williamr@2: template williamr@2: istream& _STLP_CALL operator>>(istream& s, complex<_Tp>& a); williamr@2: williamr@2: #endif /* _STLP_USE_NEW_IOSTREAMS */ williamr@2: williamr@2: williamr@2: // Transcendental functions. These are defined only for float, williamr@2: // double, and long double. (Sqrt isn't transcendental, of course, williamr@2: // but it's included in this section anyway.) williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sqrt(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL exp(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log10(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, int); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, const float&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const float&, const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sin(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cos(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tan(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sinh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cosh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tanh(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sqrt(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL exp(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log10(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, int); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, const double&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const double&, const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sin(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cos(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tan(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sinh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cosh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tanh(const complex&); williamr@2: williamr@2: # ifndef _STLP_NO_LONG_DOUBLE williamr@2: _STLP_DECLSPEC complex _STLP_CALL sqrt(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL exp(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL log10(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, int); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, const long double&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const long double&, const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL pow(const complex&, williamr@2: const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sin(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cos(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tan(const complex&); williamr@2: williamr@2: _STLP_DECLSPEC complex _STLP_CALL sinh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL cosh(const complex&); williamr@2: _STLP_DECLSPEC complex _STLP_CALL tanh(const complex&); williamr@2: # endif williamr@2: williamr@2: _STLP_END_NAMESPACE williamr@2: williamr@2: # ifndef _STLP_LINK_TIME_INSTANTIATION williamr@2: # include williamr@2: # endif williamr@2: williamr@2: #endif /* _STLP_template_complex */ williamr@2: williamr@2: // Local Variables: williamr@2: // mode:C++ williamr@2: // End: