// The template and inlines for the -*- C++ -*- complex number classes.
-// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
-// 2006, 2007, 2008, 2009
-// Free Software Foundation, Inc.
+// Copyright (C) 1997-2017 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
#include <cmath>
#include <sstream>
-_GLIBCXX_BEGIN_NAMESPACE(std)
+// Get rid of a macro possibly defined in <complex.h>
+#undef complex
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @defgroup complex_numbers Complex Numbers
template<typename _Tp> complex<_Tp> log(const complex<_Tp>&);
/// Return complex base 10 logarithm of @a z.
template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&);
-#ifndef __GXX_EXPERIMENTAL_CXX0X__
- // DR 844.
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int);
-#endif
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&);
/// Return @a x to the @a y'th power.
- template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&,
+ template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&,
const complex<_Tp>&);
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&);
template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&);
/// Return complex hyperbolic tangent of @a z.
template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&);
-
-
+
+
// 26.2.2 Primary template class complex
/**
* Template to represent complex numbers.
{
/// Value typedef.
typedef _Tp value_type;
-
+
/// Default constructor. First parameter is x, second parameter is y.
/// Unspecified parameters default to 0.
- complex(const _Tp& __r = _Tp(), const _Tp& __i = _Tp())
+ _GLIBCXX_CONSTEXPR complex(const _Tp& __r = _Tp(), const _Tp& __i = _Tp())
: _M_real(__r), _M_imag(__i) { }
- // Lets the compiler synthesize the copy constructor
- // complex (const complex<_Tp>&);
- /// Copy constructor.
+ // Let the compiler synthesize the copy constructor
+#if __cplusplus >= 201103L
+ constexpr complex(const complex&) = default;
+#endif
+
+ /// Converting constructor.
template<typename _Up>
- complex(const complex<_Up>& __z)
+ _GLIBCXX_CONSTEXPR complex(const complex<_Up>& __z)
: _M_real(__z.real()), _M_imag(__z.imag()) { }
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
+#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- _Tp real() const
- { return _M_real; }
+ _GLIBCXX_ABI_TAG_CXX11
+ constexpr _Tp
+ real() const { return _M_real; }
- _Tp imag() const
- { return _M_imag; }
+ _GLIBCXX_ABI_TAG_CXX11
+ constexpr _Tp
+ imag() const { return _M_imag; }
#else
/// Return real part of complex number.
- _Tp& real()
- { return _M_real; }
+ _Tp&
+ real() { return _M_real; }
/// Return real part of complex number.
- const _Tp& real() const
- { return _M_real; }
+ const _Tp&
+ real() const { return _M_real; }
/// Return imaginary part of complex number.
- _Tp& imag()
- { return _M_imag; }
+ _Tp&
+ imag() { return _M_imag; }
/// Return imaginary part of complex number.
- const _Tp& imag() const
- { return _M_imag; }
+ const _Tp&
+ imag() const { return _M_imag; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- void real(_Tp __val)
- { _M_real = __val; }
+ void
+ real(_Tp __val) { _M_real = __val; }
- void imag(_Tp __val)
- { _M_imag = __val; }
+ void
+ imag(_Tp __val) { _M_imag = __val; }
- /// Assign this complex number to scalar @a t.
+ /// Assign a scalar to this complex number.
complex<_Tp>& operator=(const _Tp&);
-
- /// Add @a t to this complex number.
+
+ /// Add a scalar to this complex number.
// 26.2.5/1
complex<_Tp>&
operator+=(const _Tp& __t)
return *this;
}
- /// Subtract @a t from this complex number.
+ /// Subtract a scalar from this complex number.
// 26.2.5/3
complex<_Tp>&
operator-=(const _Tp& __t)
return *this;
}
- /// Multiply this complex number by @a t.
+ /// Multiply this complex number by a scalar.
complex<_Tp>& operator*=(const _Tp&);
- /// Divide this complex number by @a t.
+ /// Divide this complex number by a scalar.
complex<_Tp>& operator/=(const _Tp&);
- // Lets the compiler synthesize the
- // copy and assignment operator
- // complex<_Tp>& operator= (const complex<_Tp>&);
- /// Assign this complex number to complex @a z.
+ // Let the compiler synthesize the copy assignment operator
+#if __cplusplus >= 201103L
+ complex& operator=(const complex&) = default;
+#endif
+
+ /// Assign another complex number to this one.
template<typename _Up>
complex<_Tp>& operator=(const complex<_Up>&);
- /// Add @a z to this complex number.
+ /// Add another complex number to this one.
template<typename _Up>
complex<_Tp>& operator+=(const complex<_Up>&);
- /// Subtract @a z from this complex number.
+ /// Subtract another complex number from this one.
template<typename _Up>
complex<_Tp>& operator-=(const complex<_Up>&);
- /// Multiply this complex number by @a z.
+ /// Multiply this complex number by another.
template<typename _Up>
complex<_Tp>& operator*=(const complex<_Up>&);
- /// Divide this complex number by @a z.
+ /// Divide this complex number by another.
template<typename _Up>
complex<_Tp>& operator/=(const complex<_Up>&);
- const complex& __rep() const
+ _GLIBCXX_CONSTEXPR complex __rep() const
{ return *this; }
private:
_M_real = __t;
_M_imag = _Tp();
return *this;
- }
+ }
// 26.2.5/5
template<typename _Tp>
_M_real = __r / __n;
return *this;
}
-
+
// Operators:
//@{
/// Return new complex value @a x plus @a y.
__r -= __y;
return __r;
}
-
+
template<typename _Tp>
inline complex<_Tp>
operator-(const complex<_Tp>& __x, const _Tp& __y)
__r /= __y;
return __r;
}
-
+
template<typename _Tp>
inline complex<_Tp>
operator/(const complex<_Tp>& __x, const _Tp& __y)
//@{
/// Return true if @a x is equal to @a y.
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __x.real() == __y.real() && __x.imag() == __y.imag(); }
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator==(const complex<_Tp>& __x, const _Tp& __y)
{ return __x.real() == __y && __x.imag() == _Tp(); }
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator==(const _Tp& __x, const complex<_Tp>& __y)
{ return __x == __y.real() && _Tp() == __y.imag(); }
//@}
//@{
/// Return false if @a x is equal to @a y.
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __x.real() != __y.real() || __x.imag() != __y.imag(); }
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator!=(const complex<_Tp>& __x, const _Tp& __y)
{ return __x.real() != __y || __x.imag() != _Tp(); }
template<typename _Tp>
- inline bool
+ inline _GLIBCXX_CONSTEXPR bool
operator!=(const _Tp& __x, const complex<_Tp>& __y)
{ return __x != __y.real() || _Tp() != __y.imag(); }
//@}
basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
{
- _Tp __re_x, __im_x;
+ bool __fail = true;
_CharT __ch;
- __is >> __ch;
- if (__ch == '(')
+ if (__is >> __ch)
{
- __is >> __re_x >> __ch;
- if (__ch == ',')
+ if (_Traits::eq(__ch, __is.widen('(')))
{
- __is >> __im_x >> __ch;
- if (__ch == ')')
- __x = complex<_Tp>(__re_x, __im_x);
- else
- __is.setstate(ios_base::failbit);
+ _Tp __u;
+ if (__is >> __u >> __ch)
+ {
+ const _CharT __rparen = __is.widen(')');
+ if (_Traits::eq(__ch, __rparen))
+ {
+ __x = __u;
+ __fail = false;
+ }
+ else if (_Traits::eq(__ch, __is.widen(',')))
+ {
+ _Tp __v;
+ if (__is >> __v >> __ch)
+ {
+ if (_Traits::eq(__ch, __rparen))
+ {
+ __x = complex<_Tp>(__u, __v);
+ __fail = false;
+ }
+ else
+ __is.putback(__ch);
+ }
+ }
+ else
+ __is.putback(__ch);
+ }
}
- else if (__ch == ')')
- __x = __re_x;
else
- __is.setstate(ios_base::failbit);
- }
- else
- {
- __is.putback(__ch);
- __is >> __re_x;
- __x = __re_x;
+ {
+ __is.putback(__ch);
+ _Tp __u;
+ if (__is >> __u)
+ {
+ __x = __u;
+ __fail = false;
+ }
+ }
}
+ if (__fail)
+ __is.setstate(ios_base::failbit);
return __is;
}
}
// Values
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
+#if __cplusplus >= 201103L
template<typename _Tp>
- inline _Tp
+ constexpr _Tp
real(const complex<_Tp>& __z)
{ return __z.real(); }
-
+
template<typename _Tp>
- inline _Tp
+ constexpr _Tp
imag(const complex<_Tp>& __z)
{ return __z.imag(); }
#else
inline _Tp&
real(complex<_Tp>& __z)
{ return __z.real(); }
-
+
template<typename _Tp>
inline const _Tp&
real(const complex<_Tp>& __z)
{ return __z.real(); }
-
+
template<typename _Tp>
inline _Tp&
imag(complex<_Tp>& __z)
{ return __z.imag(); }
-
+
template<typename _Tp>
inline const _Tp&
imag(const complex<_Tp>& __z)
const _Tp __s = std::max(abs(__x), abs(__y));
if (__s == _Tp()) // well ...
return __s;
- __x /= __s;
+ __x /= __s;
__y /= __s;
return __s * sqrt(__x * __x + __y * __y);
}
template<typename _Tp>
inline _Tp
abs(const complex<_Tp>& __z) { return __complex_abs(__z); }
-#endif
+#endif
// 26.2.7/4: arg(__z): Returns the phase angle of __z.
// 26.2.7/5: norm(__z) returns the squared magnitude of __z.
// As defined, norm() is -not- a norm is the common mathematical
- // sens used in numerics. The helper class _Norm_helper<> tries to
+ // sense used in numerics. The helper class _Norm_helper<> tries to
// distinguish between builtin floating point and the rest, so as
// to deliver an answer as close as possible to the real value.
template<bool>
return __res * __res;
}
};
-
+
template<typename _Tp>
inline _Tp
norm(const complex<_Tp>& __z)
{
- return _Norm_helper<__is_floating<_Tp>::__value
+ return _Norm_helper<__is_floating<_Tp>::__value
&& !_GLIBCXX_FAST_MATH>::_S_do_it(__z);
}
template<typename _Tp>
inline complex<_Tp>
polar(const _Tp& __rho, const _Tp& __theta)
- { return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta)); }
+ {
+ __glibcxx_assert( __rho >= 0 );
+ return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta));
+ }
template<typename _Tp>
inline complex<_Tp>
conj(const complex<_Tp>& __z)
{ return complex<_Tp>(__z.real(), -__z.imag()); }
-
+
// Transcendentals
// 26.2.8/1 cos(__z): Returns the cosine of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_exp(const complex<_Tp>& __z)
- { return std::polar(exp(__z.real()), __z.imag()); }
+ { return std::polar<_Tp>(exp(__z.real()), __z.imag()); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
- return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
+ return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
- __complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); }
+ __complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); }
inline __complex__ double
- __complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); }
+ __complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); }
inline __complex__ long double
__complex_sinh(const __complex__ long double& __z)
- { return __builtin_csinhl(__z); }
+ { return __builtin_csinhl(__z); }
template<typename _Tp>
inline complex<_Tp>
#endif
// 26.2.8/14 tan(__z): Return the complex tangent of __z.
-
+
template<typename _Tp>
inline complex<_Tp>
__complex_tan(const complex<_Tp>& __z)
// 26.2.8/15 tanh(__z): Returns the hyperbolic tangent of __z.
-
+
template<typename _Tp>
inline complex<_Tp>
__complex_tanh(const complex<_Tp>& __z)
// 26.2.8/9 pow(__x, __y): Returns the complex power base of __x
// raised to the __y-th power. The branch
// cut is on the negative axis.
-#ifndef __GXX_EXPERIMENTAL_CXX0X__
- // _GLIBCXX_RESOLVE_LIB_DEFECTS
+ template<typename _Tp>
+ complex<_Tp>
+ __complex_pow_unsigned(complex<_Tp> __x, unsigned __n)
+ {
+ complex<_Tp> __y = __n % 2 ? __x : complex<_Tp>(1);
+
+ while (__n >>= 1)
+ {
+ __x *= __x;
+ if (__n % 2)
+ __y *= __x;
+ }
+
+ return __y;
+ }
+
+ // In C++11 mode we used to implement the resolution of
// DR 844. complex pow return type is ambiguous.
+ // thus the following overload was disabled in that mode. However, doing
+ // that causes all sorts of issues, see, for example:
+ // http://gcc.gnu.org/ml/libstdc++/2013-01/msg00058.html
+ // and also PR57974.
template<typename _Tp>
inline complex<_Tp>
pow(const complex<_Tp>& __z, int __n)
- { return std::__pow_helper(__z, __n); }
-#endif
+ {
+ return __n < 0
+ ? complex<_Tp>(1) / std::__complex_pow_unsigned(__z, -(unsigned)__n)
+ : std::__complex_pow_unsigned(__z, __n);
+ }
template<typename _Tp>
complex<_Tp>
pow(const complex<_Tp>& __x, const _Tp& __y)
{
-#ifndef _GLIBCXX_USE_C99_COMPLEX
+#if ! _GLIBCXX_USE_C99_COMPLEX
if (__x == _Tp())
return _Tp();
#endif
return pow(__x.real(), __y);
complex<_Tp> __t = std::log(__x);
- return std::polar(exp(__y * __t.real()), __y * __t.imag());
+ return std::polar<_Tp>(exp(__y * __t.real()), __y * __t.imag());
}
template<typename _Tp>
inline complex<_Tp>
pow(const _Tp& __x, const complex<_Tp>& __y)
{
- return __x > _Tp() ? std::polar(pow(__x, __y.real()),
- __y.imag() * log(__x))
+ return __x > _Tp() ? std::polar<_Tp>(pow(__x, __y.real()),
+ __y.imag() * log(__x))
: std::pow(complex<_Tp>(__x), __y);
}
- // 26.2.3 complex specializations
- // complex<float> specialization
+ /// 26.2.3 complex specializations
+ /// complex<float> specialization
template<>
struct complex<float>
{
typedef float value_type;
typedef __complex__ float _ComplexT;
- complex(_ComplexT __z) : _M_value(__z) { }
+ _GLIBCXX_CONSTEXPR complex(_ComplexT __z) : _M_value(__z) { }
- complex(float __r = 0.0f, float __i = 0.0f)
+ _GLIBCXX_CONSTEXPR complex(float __r = 0.0f, float __i = 0.0f)
+#if __cplusplus >= 201103L
+ : _M_value{ __r, __i } { }
+#else
{
__real__ _M_value = __r;
__imag__ _M_value = __i;
}
+#endif
- explicit complex(const complex<double>&);
- explicit complex(const complex<long double>&);
+ explicit _GLIBCXX_CONSTEXPR complex(const complex<double>&);
+ explicit _GLIBCXX_CONSTEXPR complex(const complex<long double>&);
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
+#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- float real() const
- { return __real__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr float
+ real() const { return __real__ _M_value; }
- float imag() const
- { return __imag__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr float
+ imag() const { return __imag__ _M_value; }
#else
- float& real()
- { return __real__ _M_value; }
+ float&
+ real() { return __real__ _M_value; }
- const float& real() const
- { return __real__ _M_value; }
+ const float&
+ real() const { return __real__ _M_value; }
- float& imag()
- { return __imag__ _M_value; }
+ float&
+ imag() { return __imag__ _M_value; }
- const float& imag() const
- { return __imag__ _M_value; }
+ const float&
+ imag() const { return __imag__ _M_value; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- void real(float __val)
- { __real__ _M_value = __val; }
+ void
+ real(float __val) { __real__ _M_value = __val; }
- void imag(float __val)
- { __imag__ _M_value = __val; }
+ void
+ imag(float __val) { __imag__ _M_value = __val; }
- complex<float>&
+ complex&
operator=(float __f)
{
- __real__ _M_value = __f;
- __imag__ _M_value = 0.0f;
+ _M_value = __f;
return *this;
}
- complex<float>&
+ complex&
operator+=(float __f)
{
- __real__ _M_value += __f;
+ _M_value += __f;
return *this;
}
- complex<float>&
+ complex&
operator-=(float __f)
{
- __real__ _M_value -= __f;
+ _M_value -= __f;
return *this;
}
- complex<float>&
+ complex&
operator*=(float __f)
{
_M_value *= __f;
return *this;
}
- complex<float>&
+ complex&
operator/=(float __f)
{
_M_value /= __f;
// complex& operator=(const complex&);
template<typename _Tp>
- complex<float>&
+ complex&
operator=(const complex<_Tp>& __z)
{
__real__ _M_value = __z.real();
}
template<typename _Tp>
- complex<float>&
+ complex&
operator+=(const complex<_Tp>& __z)
{
__real__ _M_value += __z.real();
}
template<class _Tp>
- complex<float>&
+ complex&
operator-=(const complex<_Tp>& __z)
{
__real__ _M_value -= __z.real();
}
template<class _Tp>
- complex<float>&
+ complex&
operator*=(const complex<_Tp>& __z)
{
_ComplexT __t;
}
template<class _Tp>
- complex<float>&
+ complex&
operator/=(const complex<_Tp>& __z)
{
_ComplexT __t;
return *this;
}
- const _ComplexT& __rep() const { return _M_value; }
+ _GLIBCXX_CONSTEXPR _ComplexT __rep() const { return _M_value; }
private:
_ComplexT _M_value;
};
- // 26.2.3 complex specializations
- // complex<double> specialization
+ /// 26.2.3 complex specializations
+ /// complex<double> specialization
template<>
struct complex<double>
{
typedef double value_type;
typedef __complex__ double _ComplexT;
- complex(_ComplexT __z) : _M_value(__z) { }
+ _GLIBCXX_CONSTEXPR complex(_ComplexT __z) : _M_value(__z) { }
- complex(double __r = 0.0, double __i = 0.0)
+ _GLIBCXX_CONSTEXPR complex(double __r = 0.0, double __i = 0.0)
+#if __cplusplus >= 201103L
+ : _M_value{ __r, __i } { }
+#else
{
__real__ _M_value = __r;
__imag__ _M_value = __i;
}
+#endif
- complex(const complex<float>& __z)
+ _GLIBCXX_CONSTEXPR complex(const complex<float>& __z)
: _M_value(__z.__rep()) { }
- explicit complex(const complex<long double>&);
+ explicit _GLIBCXX_CONSTEXPR complex(const complex<long double>&);
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
+#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- double real() const
- { return __real__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr double
+ real() const { return __real__ _M_value; }
- double imag() const
- { return __imag__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr double
+ imag() const { return __imag__ _M_value; }
#else
- double& real()
- { return __real__ _M_value; }
+ double&
+ real() { return __real__ _M_value; }
- const double& real() const
- { return __real__ _M_value; }
+ const double&
+ real() const { return __real__ _M_value; }
- double& imag()
- { return __imag__ _M_value; }
+ double&
+ imag() { return __imag__ _M_value; }
- const double& imag() const
- { return __imag__ _M_value; }
+ const double&
+ imag() const { return __imag__ _M_value; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- void real(double __val)
- { __real__ _M_value = __val; }
+ void
+ real(double __val) { __real__ _M_value = __val; }
- void imag(double __val)
- { __imag__ _M_value = __val; }
+ void
+ imag(double __val) { __imag__ _M_value = __val; }
- complex<double>&
+ complex&
operator=(double __d)
{
- __real__ _M_value = __d;
- __imag__ _M_value = 0.0;
+ _M_value = __d;
return *this;
}
- complex<double>&
+ complex&
operator+=(double __d)
{
- __real__ _M_value += __d;
+ _M_value += __d;
return *this;
}
-
- complex<double>&
+
+ complex&
operator-=(double __d)
{
- __real__ _M_value -= __d;
+ _M_value -= __d;
return *this;
}
- complex<double>&
+ complex&
operator*=(double __d)
{
_M_value *= __d;
return *this;
}
- complex<double>&
+ complex&
operator/=(double __d)
{
_M_value /= __d;
// complex& operator=(const complex&);
template<typename _Tp>
- complex<double>&
+ complex&
operator=(const complex<_Tp>& __z)
{
__real__ _M_value = __z.real();
}
template<typename _Tp>
- complex<double>&
+ complex&
operator+=(const complex<_Tp>& __z)
{
__real__ _M_value += __z.real();
}
template<typename _Tp>
- complex<double>&
+ complex&
operator-=(const complex<_Tp>& __z)
{
__real__ _M_value -= __z.real();
}
template<typename _Tp>
- complex<double>&
+ complex&
operator*=(const complex<_Tp>& __z)
{
_ComplexT __t;
}
template<typename _Tp>
- complex<double>&
+ complex&
operator/=(const complex<_Tp>& __z)
{
_ComplexT __t;
return *this;
}
- const _ComplexT& __rep() const { return _M_value; }
+ _GLIBCXX_CONSTEXPR _ComplexT __rep() const { return _M_value; }
private:
_ComplexT _M_value;
};
- // 26.2.3 complex specializations
- // complex<long double> specialization
+ /// 26.2.3 complex specializations
+ /// complex<long double> specialization
template<>
struct complex<long double>
{
typedef long double value_type;
typedef __complex__ long double _ComplexT;
- complex(_ComplexT __z) : _M_value(__z) { }
+ _GLIBCXX_CONSTEXPR complex(_ComplexT __z) : _M_value(__z) { }
- complex(long double __r = 0.0L, long double __i = 0.0L)
+ _GLIBCXX_CONSTEXPR complex(long double __r = 0.0L,
+ long double __i = 0.0L)
+#if __cplusplus >= 201103L
+ : _M_value{ __r, __i } { }
+#else
{
__real__ _M_value = __r;
__imag__ _M_value = __i;
}
+#endif
- complex(const complex<float>& __z)
+ _GLIBCXX_CONSTEXPR complex(const complex<float>& __z)
: _M_value(__z.__rep()) { }
- complex(const complex<double>& __z)
+ _GLIBCXX_CONSTEXPR complex(const complex<double>& __z)
: _M_value(__z.__rep()) { }
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
+#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- long double real() const
- { return __real__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr long double
+ real() const { return __real__ _M_value; }
- long double imag() const
- { return __imag__ _M_value; }
+ __attribute ((__abi_tag__ ("cxx11")))
+ constexpr long double
+ imag() const { return __imag__ _M_value; }
#else
- long double& real()
- { return __real__ _M_value; }
+ long double&
+ real() { return __real__ _M_value; }
- const long double& real() const
- { return __real__ _M_value; }
+ const long double&
+ real() const { return __real__ _M_value; }
- long double& imag()
- { return __imag__ _M_value; }
+ long double&
+ imag() { return __imag__ _M_value; }
- const long double& imag() const
- { return __imag__ _M_value; }
+ const long double&
+ imag() const { return __imag__ _M_value; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
- void real(long double __val)
- { __real__ _M_value = __val; }
+ void
+ real(long double __val) { __real__ _M_value = __val; }
- void imag(long double __val)
- { __imag__ _M_value = __val; }
+ void
+ imag(long double __val) { __imag__ _M_value = __val; }
- complex<long double>&
+ complex&
operator=(long double __r)
{
- __real__ _M_value = __r;
- __imag__ _M_value = 0.0L;
+ _M_value = __r;
return *this;
}
- complex<long double>&
+ complex&
operator+=(long double __r)
{
- __real__ _M_value += __r;
+ _M_value += __r;
return *this;
}
- complex<long double>&
+ complex&
operator-=(long double __r)
{
- __real__ _M_value -= __r;
+ _M_value -= __r;
return *this;
}
- complex<long double>&
+ complex&
operator*=(long double __r)
{
_M_value *= __r;
return *this;
}
- complex<long double>&
+ complex&
operator/=(long double __r)
{
_M_value /= __r;
// complex& operator=(const complex&);
template<typename _Tp>
- complex<long double>&
+ complex&
operator=(const complex<_Tp>& __z)
{
__real__ _M_value = __z.real();
}
template<typename _Tp>
- complex<long double>&
+ complex&
operator+=(const complex<_Tp>& __z)
{
__real__ _M_value += __z.real();
}
template<typename _Tp>
- complex<long double>&
+ complex&
operator-=(const complex<_Tp>& __z)
{
__real__ _M_value -= __z.real();
}
template<typename _Tp>
- complex<long double>&
+ complex&
operator*=(const complex<_Tp>& __z)
{
_ComplexT __t;
}
template<typename _Tp>
- complex<long double>&
+ complex&
operator/=(const complex<_Tp>& __z)
{
_ComplexT __t;
return *this;
}
- const _ComplexT& __rep() const { return _M_value; }
+ _GLIBCXX_CONSTEXPR _ComplexT __rep() const { return _M_value; }
private:
_ComplexT _M_value;
// These bits have to be at the end of this file, so that the
// specializations have all been defined.
- inline
+ inline _GLIBCXX_CONSTEXPR
complex<float>::complex(const complex<double>& __z)
: _M_value(__z.__rep()) { }
- inline
+ inline _GLIBCXX_CONSTEXPR
complex<float>::complex(const complex<long double>& __z)
: _M_value(__z.__rep()) { }
- inline
+ inline _GLIBCXX_CONSTEXPR
complex<double>::complex(const complex<long double>& __z)
: _M_value(__z.__rep()) { }
// @} group complex_numbers
-_GLIBCXX_END_NAMESPACE
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
-_GLIBCXX_BEGIN_NAMESPACE(__gnu_cxx)
+namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
// See ext/type_traits.h for the primary template.
template<typename _Tp, typename _Up>
public:
typedef std::complex<typename __promote_2<_Tp, _Up>::__type> __type;
};
-
+
template<typename _Tp, typename _Up>
struct __promote_2<std::complex<_Tp>, std::complex<_Up> >
{
typedef std::complex<typename __promote_2<_Tp, _Up>::__type> __type;
};
-_GLIBCXX_END_NAMESPACE
-
-#ifdef __GXX_EXPERIMENTAL_CXX0X__
-# if defined(_GLIBCXX_INCLUDE_AS_TR1)
-# error C++0x header cannot be included from TR1 header
-# endif
-# if defined(_GLIBCXX_INCLUDE_AS_CXX0X)
-# include <tr1_impl/complex>
-# else
-# define _GLIBCXX_INCLUDE_AS_CXX0X
-# define _GLIBCXX_BEGIN_NAMESPACE_TR1
-# define _GLIBCXX_END_NAMESPACE_TR1
-# define _GLIBCXX_TR1
-# include <tr1_impl/complex>
-# undef _GLIBCXX_TR1
-# undef _GLIBCXX_END_NAMESPACE_TR1
-# undef _GLIBCXX_BEGIN_NAMESPACE_TR1
-# undef _GLIBCXX_INCLUDE_AS_CXX0X
-# endif
-
-_GLIBCXX_BEGIN_NAMESPACE(std)
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
+
+#if __cplusplus >= 201103L
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+ // Forward declarations.
+ template<typename _Tp> std::complex<_Tp> acos(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> asin(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> atan(const std::complex<_Tp>&);
+
+ template<typename _Tp> std::complex<_Tp> acosh(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> asinh(const std::complex<_Tp>&);
+ template<typename _Tp> std::complex<_Tp> atanh(const std::complex<_Tp>&);
+ // DR 595.
+ template<typename _Tp> _Tp fabs(const std::complex<_Tp>&);
+
+ template<typename _Tp>
+ inline std::complex<_Tp>
+ __complex_acos(const std::complex<_Tp>& __z)
+ {
+ const std::complex<_Tp> __t = std::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::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
+
+ template<typename _Tp>
+ inline _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].
+ template<typename _Tp>
+ inline typename __gnu_cxx::__promote<_Tp>::__type
+ arg(_Tp __x)
+ {
+ typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+#if (_GLIBCXX11_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>
+ _GLIBCXX_CONSTEXPR 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>
+ _GLIBCXX_CONSTEXPR inline typename __gnu_cxx::__promote<_Tp>::__type
+ real(_Tp __x)
+ { return __x; }
+
+ 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));
+ }
// Forward declarations.
// DR 781.
return std::proj(std::complex<__type>(__x));
}
-_GLIBCXX_END_NAMESPACE
+ template<typename _Tp>
+ inline std::complex<typename __gnu_cxx::__promote<_Tp>::__type>
+ conj(_Tp __x)
+ {
+ typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+ return std::complex<__type>(__x, -__type());
+ }
-#endif
+#if __cplusplus > 201103L
+
+inline namespace literals {
+inline namespace complex_literals {
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wliteral-suffix"
+#define __cpp_lib_complex_udls 201309
+
+ constexpr std::complex<float>
+ operator""if(long double __num)
+ { return std::complex<float>{0.0F, static_cast<float>(__num)}; }
+
+ constexpr std::complex<float>
+ operator""if(unsigned long long __num)
+ { return std::complex<float>{0.0F, static_cast<float>(__num)}; }
+
+ constexpr std::complex<double>
+ operator""i(long double __num)
+ { return std::complex<double>{0.0, static_cast<double>(__num)}; }
+
+ constexpr std::complex<double>
+ operator""i(unsigned long long __num)
+ { return std::complex<double>{0.0, static_cast<double>(__num)}; }
+
+ constexpr std::complex<long double>
+ operator""il(long double __num)
+ { return std::complex<long double>{0.0L, __num}; }
+
+ constexpr std::complex<long double>
+ operator""il(unsigned long long __num)
+ { return std::complex<long double>{0.0L, static_cast<long double>(__num)}; }
+
+#pragma GCC diagnostic pop
+} // inline namespace complex_literals
+} // inline namespace literals
+
+#endif // C++14
+
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
+
+#endif // C++11
-#endif /* _GLIBCXX_COMPLEX */
+#endif /* _GLIBCXX_COMPLEX */
projects / gcc.git / blobdiff