diff options
Diffstat (limited to 'contrib/llvm-project/libcxx/include/complex')
-rw-r--r-- | contrib/llvm-project/libcxx/include/complex | 1921 |
1 files changed, 882 insertions, 1039 deletions
diff --git a/contrib/llvm-project/libcxx/include/complex b/contrib/llvm-project/libcxx/include/complex index 44579b1ad528..02b9db8c516d 100644 --- a/contrib/llvm-project/libcxx/include/complex +++ b/contrib/llvm-project/libcxx/include/complex @@ -237,7 +237,7 @@ template<class T> complex<T> tanh (const complex<T>&); #include <version> #if !defined(_LIBCPP_HAS_NO_LOCALIZATION) -# include <sstream> // for std::basic_ostringstream +# include <sstream> // for std::basic_ostringstream #endif #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) @@ -246,1295 +246,1138 @@ template<class T> complex<T> tanh (const complex<T>&); _LIBCPP_BEGIN_NAMESPACE_STD -template<class _Tp> class _LIBCPP_TEMPLATE_VIS complex; +template <class _Tp> +class _LIBCPP_TEMPLATE_VIS complex; -template<class _Tp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator*(const complex<_Tp>& __z, const complex<_Tp>& __w); -template<class _Tp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator/(const complex<_Tp>& __x, const complex<_Tp>& __y); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator*(const complex<_Tp>& __z, const complex<_Tp>& __w); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator/(const complex<_Tp>& __x, const complex<_Tp>& __y); -template<class _Tp> -class _LIBCPP_TEMPLATE_VIS complex -{ +template <class _Tp> +class _LIBCPP_TEMPLATE_VIS complex { public: - typedef _Tp value_type; + typedef _Tp value_type; + private: - value_type __re_; - value_type __im_; + value_type __re_; + value_type __im_; + public: - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 - complex(const value_type& __re = value_type(), const value_type& __im = value_type()) - : __re_(__re), __im_(__im) {} - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 - complex(const complex<_Xp>& __c) - : __re_(__c.real()), __im_(__c.imag()) {} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type real() const {return __re_;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type imag() const {return __im_;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) {__re_ = __re;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) {__im_ = __im;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (const value_type& __re) - {__re_ = __re; __im_ = value_type(); return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const value_type& __re) {__re_ += __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const value_type& __re) {__re_ -= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const value_type& __re) {__re_ *= __re; __im_ *= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const value_type& __re) {__re_ /= __re; __im_ /= __re; return *this;} - - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (const complex<_Xp>& __c) - { - __re_ = __c.real(); - __im_ = __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) - { - __re_ += __c.real(); - __im_ += __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) - { - __re_ -= __c.real(); - __im_ -= __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) - { - *this = *this * complex(__c.real(), __c.imag()); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) - { - *this = *this / complex(__c.real(), __c.imag()); - return *this; - } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 + complex(const value_type& __re = value_type(), const value_type& __im = value_type()) + : __re_(__re), __im_(__im) {} + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 complex(const complex<_Xp>& __c) + : __re_(__c.real()), __im_(__c.imag()) {} + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type real() const { return __re_; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type imag() const { return __im_; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const value_type& __re) { + __re_ = __re; + __im_ = value_type(); + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const value_type& __re) { + __re_ += __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const value_type& __re) { + __re_ -= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const value_type& __re) { + __re_ *= __re; + __im_ *= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const value_type& __re) { + __re_ /= __re; + __im_ /= __re; + return *this; + } + + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) { + __re_ = __c.real(); + __im_ = __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) { + __re_ += __c.real(); + __im_ += __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) { + __re_ -= __c.real(); + __im_ -= __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) { + *this = *this * complex(__c.real(), __c.imag()); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) { + *this = *this / complex(__c.real(), __c.imag()); + return *this; + } }; -template<> class _LIBCPP_TEMPLATE_VIS complex<double>; -template<> class _LIBCPP_TEMPLATE_VIS complex<long double>; +template <> +class _LIBCPP_TEMPLATE_VIS complex<double>; +template <> +class _LIBCPP_TEMPLATE_VIS complex<long double>; -template<> -class _LIBCPP_TEMPLATE_VIS complex<float> -{ - float __re_; - float __im_; -public: - typedef float value_type; +template <> +class _LIBCPP_TEMPLATE_VIS complex<float> { + float __re_; + float __im_; - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(float __re = 0.0f, float __im = 0.0f) - : __re_(__re), __im_(__im) {} - _LIBCPP_HIDE_FROM_ABI - explicit _LIBCPP_CONSTEXPR complex(const complex<double>& __c); - _LIBCPP_HIDE_FROM_ABI - explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c); - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float real() const {return __re_;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float imag() const {return __im_;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) {__re_ = __re;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) {__im_ = __im;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (float __re) - {__re_ = __re; __im_ = value_type(); return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(float __re) {__re_ += __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(float __re) {__re_ -= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(float __re) {__re_ *= __re; __im_ *= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(float __re) {__re_ /= __re; __im_ /= __re; return *this;} - - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (const complex<_Xp>& __c) - { - __re_ = __c.real(); - __im_ = __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) - { - __re_ += __c.real(); - __im_ += __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) - { - __re_ -= __c.real(); - __im_ -= __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) - { - *this = *this * complex(__c.real(), __c.imag()); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) - { - *this = *this / complex(__c.real(), __c.imag()); - return *this; - } +public: + typedef float value_type; + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(float __re = 0.0f, float __im = 0.0f) : __re_(__re), __im_(__im) {} + _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<double>& __c); + _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c); + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float real() const { return __re_; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float imag() const { return __im_; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(float __re) { + __re_ = __re; + __im_ = value_type(); + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(float __re) { + __re_ += __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(float __re) { + __re_ -= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(float __re) { + __re_ *= __re; + __im_ *= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(float __re) { + __re_ /= __re; + __im_ /= __re; + return *this; + } + + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) { + __re_ = __c.real(); + __im_ = __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) { + __re_ += __c.real(); + __im_ += __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) { + __re_ -= __c.real(); + __im_ -= __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) { + *this = *this * complex(__c.real(), __c.imag()); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) { + *this = *this / complex(__c.real(), __c.imag()); + return *this; + } }; -template<> -class _LIBCPP_TEMPLATE_VIS complex<double> -{ - double __re_; - double __im_; -public: - typedef double value_type; +template <> +class _LIBCPP_TEMPLATE_VIS complex<double> { + double __re_; + double __im_; - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(double __re = 0.0, double __im = 0.0) - : __re_(__re), __im_(__im) {} - _LIBCPP_HIDE_FROM_ABI - _LIBCPP_CONSTEXPR complex(const complex<float>& __c); - _LIBCPP_HIDE_FROM_ABI - explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c); - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double real() const {return __re_;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double imag() const {return __im_;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) {__re_ = __re;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) {__im_ = __im;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (double __re) - {__re_ = __re; __im_ = value_type(); return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(double __re) {__re_ += __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(double __re) {__re_ -= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(double __re) {__re_ *= __re; __im_ *= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(double __re) {__re_ /= __re; __im_ /= __re; return *this;} - - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (const complex<_Xp>& __c) - { - __re_ = __c.real(); - __im_ = __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) - { - __re_ += __c.real(); - __im_ += __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) - { - __re_ -= __c.real(); - __im_ -= __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) - { - *this = *this * complex(__c.real(), __c.imag()); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) - { - *this = *this / complex(__c.real(), __c.imag()); - return *this; - } +public: + typedef double value_type; + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(double __re = 0.0, double __im = 0.0) : __re_(__re), __im_(__im) {} + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c); + _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c); + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double real() const { return __re_; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double imag() const { return __im_; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(double __re) { + __re_ = __re; + __im_ = value_type(); + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(double __re) { + __re_ += __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(double __re) { + __re_ -= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(double __re) { + __re_ *= __re; + __im_ *= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(double __re) { + __re_ /= __re; + __im_ /= __re; + return *this; + } + + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) { + __re_ = __c.real(); + __im_ = __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) { + __re_ += __c.real(); + __im_ += __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) { + __re_ -= __c.real(); + __im_ -= __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) { + *this = *this * complex(__c.real(), __c.imag()); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) { + *this = *this / complex(__c.real(), __c.imag()); + return *this; + } }; -template<> -class _LIBCPP_TEMPLATE_VIS complex<long double> -{ - long double __re_; - long double __im_; -public: - typedef long double value_type; +template <> +class _LIBCPP_TEMPLATE_VIS complex<long double> { + long double __re_; + long double __im_; - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(long double __re = 0.0L, long double __im = 0.0L) - : __re_(__re), __im_(__im) {} - _LIBCPP_HIDE_FROM_ABI - _LIBCPP_CONSTEXPR complex(const complex<float>& __c); - _LIBCPP_HIDE_FROM_ABI - _LIBCPP_CONSTEXPR complex(const complex<double>& __c); - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double real() const {return __re_;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double imag() const {return __im_;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) {__re_ = __re;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) {__im_ = __im;} - - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (long double __re) - {__re_ = __re; __im_ = value_type(); return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(long double __re) {__re_ += __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(long double __re) {__re_ -= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(long double __re) {__re_ *= __re; __im_ *= __re; return *this;} - _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(long double __re) {__re_ /= __re; __im_ /= __re; return *this;} - - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator= (const complex<_Xp>& __c) - { - __re_ = __c.real(); - __im_ = __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) - { - __re_ += __c.real(); - __im_ += __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) - { - __re_ -= __c.real(); - __im_ -= __c.imag(); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) - { - *this = *this * complex(__c.real(), __c.imag()); - return *this; - } - template<class _Xp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) - { - *this = *this / complex(__c.real(), __c.imag()); - return *this; - } +public: + typedef long double value_type; + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(long double __re = 0.0L, long double __im = 0.0L) + : __re_(__re), __im_(__im) {} + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c); + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<double>& __c); + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double real() const { return __re_; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double imag() const { return __im_; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; } + + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(long double __re) { + __re_ = __re; + __im_ = value_type(); + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(long double __re) { + __re_ += __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(long double __re) { + __re_ -= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(long double __re) { + __re_ *= __re; + __im_ *= __re; + return *this; + } + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(long double __re) { + __re_ /= __re; + __im_ /= __re; + return *this; + } + + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) { + __re_ = __c.real(); + __im_ = __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) { + __re_ += __c.real(); + __im_ += __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) { + __re_ -= __c.real(); + __im_ -= __c.imag(); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) { + *this = *this * complex(__c.real(), __c.imag()); + return *this; + } + template <class _Xp> + _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) { + *this = *this / complex(__c.real(), __c.imag()); + return *this; + } }; -inline -_LIBCPP_CONSTEXPR -complex<float>::complex(const complex<double>& __c) - : __re_(__c.real()), __im_(__c.imag()) {} +inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<double>& __c) : __re_(__c.real()), __im_(__c.imag()) {} -inline -_LIBCPP_CONSTEXPR -complex<float>::complex(const complex<long double>& __c) +inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<long double>& __c) : __re_(__c.real()), __im_(__c.imag()) {} -inline -_LIBCPP_CONSTEXPR -complex<double>::complex(const complex<float>& __c) - : __re_(__c.real()), __im_(__c.imag()) {} +inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<float>& __c) : __re_(__c.real()), __im_(__c.imag()) {} -inline -_LIBCPP_CONSTEXPR -complex<double>::complex(const complex<long double>& __c) +inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<long double>& __c) : __re_(__c.real()), __im_(__c.imag()) {} -inline -_LIBCPP_CONSTEXPR -complex<long double>::complex(const complex<float>& __c) +inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<float>& __c) : __re_(__c.real()), __im_(__c.imag()) {} -inline -_LIBCPP_CONSTEXPR -complex<long double>::complex(const complex<double>& __c) +inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<double>& __c) : __re_(__c.real()), __im_(__c.imag()) {} // 26.3.6 operators: -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(__x); - __t += __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(__x); + __t += __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator+(const complex<_Tp>& __x, const _Tp& __y) -{ - complex<_Tp> __t(__x); - __t += __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator+(const complex<_Tp>& __x, const _Tp& __y) { + complex<_Tp> __t(__x); + __t += __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator+(const _Tp& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(__y); - __t += __x; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator+(const _Tp& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(__y); + __t += __x; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(__x); - __t -= __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(__x); + __t -= __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator-(const complex<_Tp>& __x, const _Tp& __y) -{ - complex<_Tp> __t(__x); - __t -= __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator-(const complex<_Tp>& __x, const _Tp& __y) { + complex<_Tp> __t(__x); + __t -= __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator-(const _Tp& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(-__y); - __t += __x; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator-(const _Tp& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(-__y); + __t += __x; + return __t; } -template<class _Tp> +template <class _Tp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> -operator*(const complex<_Tp>& __z, const complex<_Tp>& __w) -{ - _Tp __a = __z.real(); - _Tp __b = __z.imag(); - _Tp __c = __w.real(); - _Tp __d = __w.imag(); - - // Avoid floating point operations that are invalid during constant evaluation - if (__libcpp_is_constant_evaluated()) { - bool __z_zero = __a == _Tp(0) && __b == _Tp(0); - bool __w_zero = __c == _Tp(0) && __d == _Tp(0); - bool __z_inf = std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b); - bool __w_inf = std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d); - bool __z_nan = !__z_inf && ( - (std::__constexpr_isnan(__a) && std::__constexpr_isnan(__b)) - || (std::__constexpr_isnan(__a) && __b == _Tp(0)) - || (__a == _Tp(0) && std::__constexpr_isnan(__b)) - ); - bool __w_nan = !__w_inf && ( - (std::__constexpr_isnan(__c) && std::__constexpr_isnan(__d)) - || (std::__constexpr_isnan(__c) && __d == _Tp(0)) - || (__c == _Tp(0) && std::__constexpr_isnan(__d)) - ); - if (__z_nan || __w_nan) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } - if (__z_inf || __w_inf) { - if (__z_zero || __w_zero) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } - return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); - } - bool __z_nonzero_nan = !__z_inf && !__z_nan && (std::__constexpr_isnan(__a) || std::__constexpr_isnan(__b)); - bool __w_nonzero_nan = !__w_inf && !__w_nan && (std::__constexpr_isnan(__c) || std::__constexpr_isnan(__d)); - if (__z_nonzero_nan || __w_nonzero_nan) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } +operator*(const complex<_Tp>& __z, const complex<_Tp>& __w) { + _Tp __a = __z.real(); + _Tp __b = __z.imag(); + _Tp __c = __w.real(); + _Tp __d = __w.imag(); + + // Avoid floating point operations that are invalid during constant evaluation + if (__libcpp_is_constant_evaluated()) { + bool __z_zero = __a == _Tp(0) && __b == _Tp(0); + bool __w_zero = __c == _Tp(0) && __d == _Tp(0); + bool __z_inf = std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b); + bool __w_inf = std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d); + bool __z_nan = + !__z_inf && ((std::__constexpr_isnan(__a) && std::__constexpr_isnan(__b)) || + (std::__constexpr_isnan(__a) && __b == _Tp(0)) || (__a == _Tp(0) && std::__constexpr_isnan(__b))); + bool __w_nan = + !__w_inf && ((std::__constexpr_isnan(__c) && std::__constexpr_isnan(__d)) || + (std::__constexpr_isnan(__c) && __d == _Tp(0)) || (__c == _Tp(0) && std::__constexpr_isnan(__d))); + if (__z_nan || __w_nan) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); } - - _Tp __ac = __a * __c; - _Tp __bd = __b * __d; - _Tp __ad = __a * __d; - _Tp __bc = __b * __c; - _Tp __x = __ac - __bd; - _Tp __y = __ad + __bc; - if (std::__constexpr_isnan(__x) && std::__constexpr_isnan(__y)) - { - bool __recalc = false; - if (std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b)) - { - __a = std::__constexpr_copysign(std::__constexpr_isinf(__a) ? _Tp(1) : _Tp(0), __a); - __b = std::__constexpr_copysign(std::__constexpr_isinf(__b) ? _Tp(1) : _Tp(0), __b); - if (std::__constexpr_isnan(__c)) - __c = std::__constexpr_copysign(_Tp(0), __c); - if (std::__constexpr_isnan(__d)) - __d = std::__constexpr_copysign(_Tp(0), __d); - __recalc = true; - } - if (std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d)) - { - __c = std::__constexpr_copysign(std::__constexpr_isinf(__c) ? _Tp(1) : _Tp(0), __c); - __d = std::__constexpr_copysign(std::__constexpr_isinf(__d) ? _Tp(1) : _Tp(0), __d); - if (std::__constexpr_isnan(__a)) - __a = std::__constexpr_copysign(_Tp(0), __a); - if (std::__constexpr_isnan(__b)) - __b = std::__constexpr_copysign(_Tp(0), __b); - __recalc = true; - } - if (!__recalc && (std::__constexpr_isinf(__ac) || std::__constexpr_isinf(__bd) || - std::__constexpr_isinf(__ad) || std::__constexpr_isinf(__bc))) - { - if (std::__constexpr_isnan(__a)) - __a = std::__constexpr_copysign(_Tp(0), __a); - if (std::__constexpr_isnan(__b)) - __b = std::__constexpr_copysign(_Tp(0), __b); - if (std::__constexpr_isnan(__c)) - __c = std::__constexpr_copysign(_Tp(0), __c); - if (std::__constexpr_isnan(__d)) - __d = std::__constexpr_copysign(_Tp(0), __d); - __recalc = true; - } - if (__recalc) - { - __x = _Tp(INFINITY) * (__a * __c - __b * __d); - __y = _Tp(INFINITY) * (__a * __d + __b * __c); - } + if (__z_inf || __w_inf) { + if (__z_zero || __w_zero) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); + } + return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); + } + bool __z_nonzero_nan = !__z_inf && !__z_nan && (std::__constexpr_isnan(__a) || std::__constexpr_isnan(__b)); + bool __w_nonzero_nan = !__w_inf && !__w_nan && (std::__constexpr_isnan(__c) || std::__constexpr_isnan(__d)); + if (__z_nonzero_nan || __w_nonzero_nan) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); } - return complex<_Tp>(__x, __y); + } + + _Tp __ac = __a * __c; + _Tp __bd = __b * __d; + _Tp __ad = __a * __d; + _Tp __bc = __b * __c; + _Tp __x = __ac - __bd; + _Tp __y = __ad + __bc; + if (std::__constexpr_isnan(__x) && std::__constexpr_isnan(__y)) { + bool __recalc = false; + if (std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b)) { + __a = std::__constexpr_copysign(std::__constexpr_isinf(__a) ? _Tp(1) : _Tp(0), __a); + __b = std::__constexpr_copysign(std::__constexpr_isinf(__b) ? _Tp(1) : _Tp(0), __b); + if (std::__constexpr_isnan(__c)) + __c = std::__constexpr_copysign(_Tp(0), __c); + if (std::__constexpr_isnan(__d)) + __d = std::__constexpr_copysign(_Tp(0), __d); + __recalc = true; + } + if (std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d)) { + __c = std::__constexpr_copysign(std::__constexpr_isinf(__c) ? _Tp(1) : _Tp(0), __c); + __d = std::__constexpr_copysign(std::__constexpr_isinf(__d) ? _Tp(1) : _Tp(0), __d); + if (std::__constexpr_isnan(__a)) + __a = std::__constexpr_copysign(_Tp(0), __a); + if (std::__constexpr_isnan(__b)) + __b = std::__constexpr_copysign(_Tp(0), __b); + __recalc = true; + } + if (!__recalc && (std::__constexpr_isinf(__ac) || std::__constexpr_isinf(__bd) || std::__constexpr_isinf(__ad) || + std::__constexpr_isinf(__bc))) { + if (std::__constexpr_isnan(__a)) + __a = std::__constexpr_copysign(_Tp(0), __a); + if (std::__constexpr_isnan(__b)) + __b = std::__constexpr_copysign(_Tp(0), __b); + if (std::__constexpr_isnan(__c)) + __c = std::__constexpr_copysign(_Tp(0), __c); + if (std::__constexpr_isnan(__d)) + __d = std::__constexpr_copysign(_Tp(0), __d); + __recalc = true; + } + if (__recalc) { + __x = _Tp(INFINITY) * (__a * __c - __b * __d); + __y = _Tp(INFINITY) * (__a * __d + __b * __c); + } + } + return complex<_Tp>(__x, __y); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator*(const complex<_Tp>& __x, const _Tp& __y) -{ - complex<_Tp> __t(__x); - __t *= __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator*(const complex<_Tp>& __x, const _Tp& __y) { + complex<_Tp> __t(__x); + __t *= __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator*(const _Tp& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(__y); - __t *= __x; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator*(const _Tp& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(__y); + __t *= __x; + return __t; } -template<class _Tp> +template <class _Tp> _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> -operator/(const complex<_Tp>& __z, const complex<_Tp>& __w) -{ - int __ilogbw = 0; - _Tp __a = __z.real(); - _Tp __b = __z.imag(); - _Tp __c = __w.real(); - _Tp __d = __w.imag(); - _Tp __logbw = std::__constexpr_logb(std::__constexpr_fmax(std::__constexpr_fabs(__c), std::__constexpr_fabs(__d))); - if (std::__constexpr_isfinite(__logbw)) - { - __ilogbw = static_cast<int>(__logbw); - __c = std::__constexpr_scalbn(__c, -__ilogbw); - __d = std::__constexpr_scalbn(__d, -__ilogbw); +operator/(const complex<_Tp>& __z, const complex<_Tp>& __w) { + int __ilogbw = 0; + _Tp __a = __z.real(); + _Tp __b = __z.imag(); + _Tp __c = __w.real(); + _Tp __d = __w.imag(); + _Tp __logbw = std::__constexpr_logb(std::__constexpr_fmax(std::__constexpr_fabs(__c), std::__constexpr_fabs(__d))); + if (std::__constexpr_isfinite(__logbw)) { + __ilogbw = static_cast<int>(__logbw); + __c = std::__constexpr_scalbn(__c, -__ilogbw); + __d = std::__constexpr_scalbn(__d, -__ilogbw); + } + + // Avoid floating point operations that are invalid during constant evaluation + if (__libcpp_is_constant_evaluated()) { + bool __z_zero = __a == _Tp(0) && __b == _Tp(0); + bool __w_zero = __c == _Tp(0) && __d == _Tp(0); + bool __z_inf = std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b); + bool __w_inf = std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d); + bool __z_nan = + !__z_inf && ((std::__constexpr_isnan(__a) && std::__constexpr_isnan(__b)) || + (std::__constexpr_isnan(__a) && __b == _Tp(0)) || (__a == _Tp(0) && std::__constexpr_isnan(__b))); + bool __w_nan = + !__w_inf && ((std::__constexpr_isnan(__c) && std::__constexpr_isnan(__d)) || + (std::__constexpr_isnan(__c) && __d == _Tp(0)) || (__c == _Tp(0) && std::__constexpr_isnan(__d))); + if ((__z_nan || __w_nan) || (__z_inf && __w_inf)) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); } - - // Avoid floating point operations that are invalid during constant evaluation - if (__libcpp_is_constant_evaluated()) { - bool __z_zero = __a == _Tp(0) && __b == _Tp(0); - bool __w_zero = __c == _Tp(0) && __d == _Tp(0); - bool __z_inf = std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b); - bool __w_inf = std::__constexpr_isinf(__c) || std::__constexpr_isinf(__d); - bool __z_nan = !__z_inf && ( - (std::__constexpr_isnan(__a) && std::__constexpr_isnan(__b)) - || (std::__constexpr_isnan(__a) && __b == _Tp(0)) - || (__a == _Tp(0) && std::__constexpr_isnan(__b)) - ); - bool __w_nan = !__w_inf && ( - (std::__constexpr_isnan(__c) && std::__constexpr_isnan(__d)) - || (std::__constexpr_isnan(__c) && __d == _Tp(0)) - || (__c == _Tp(0) && std::__constexpr_isnan(__d)) - ); - if ((__z_nan || __w_nan) || (__z_inf && __w_inf)) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } - bool __z_nonzero_nan = !__z_inf && !__z_nan && (std::__constexpr_isnan(__a) || std::__constexpr_isnan(__b)); - bool __w_nonzero_nan = !__w_inf && !__w_nan && (std::__constexpr_isnan(__c) || std::__constexpr_isnan(__d)); - if (__z_nonzero_nan || __w_nonzero_nan) { - if (__w_zero) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); - } - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } - if (__w_inf) { - return complex<_Tp>(_Tp(0), _Tp(0)); - } - if (__z_inf) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); - } - if (__w_zero) { - if (__z_zero) { - return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); - } - return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); - } + bool __z_nonzero_nan = !__z_inf && !__z_nan && (std::__constexpr_isnan(__a) || std::__constexpr_isnan(__b)); + bool __w_nonzero_nan = !__w_inf && !__w_nan && (std::__constexpr_isnan(__c) || std::__constexpr_isnan(__d)); + if (__z_nonzero_nan || __w_nonzero_nan) { + if (__w_zero) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); + } + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); } - - _Tp __denom = __c * __c + __d * __d; - _Tp __x = std::__constexpr_scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); - _Tp __y = std::__constexpr_scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); - if (std::__constexpr_isnan(__x) && std::__constexpr_isnan(__y)) - { - if ((__denom == _Tp(0)) && (!std::__constexpr_isnan(__a) || !std::__constexpr_isnan(__b))) - { - __x = std::__constexpr_copysign(_Tp(INFINITY), __c) * __a; - __y = std::__constexpr_copysign(_Tp(INFINITY), __c) * __b; - } else if ((std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b)) && std::__constexpr_isfinite(__c) && - std::__constexpr_isfinite(__d)) { - __a = std::__constexpr_copysign(std::__constexpr_isinf(__a) ? _Tp(1) : _Tp(0), __a); - __b = std::__constexpr_copysign(std::__constexpr_isinf(__b) ? _Tp(1) : _Tp(0), __b); - __x = _Tp(INFINITY) * (__a * __c + __b * __d); - __y = _Tp(INFINITY) * (__b * __c - __a * __d); - } else if (std::__constexpr_isinf(__logbw) && __logbw > _Tp(0) && std::__constexpr_isfinite(__a) && - std::__constexpr_isfinite(__b)) { - __c = std::__constexpr_copysign(std::__constexpr_isinf(__c) ? _Tp(1) : _Tp(0), __c); - __d = std::__constexpr_copysign(std::__constexpr_isinf(__d) ? _Tp(1) : _Tp(0), __d); - __x = _Tp(0) * (__a * __c + __b * __d); - __y = _Tp(0) * (__b * __c - __a * __d); - } + if (__w_inf) { + return complex<_Tp>(_Tp(0), _Tp(0)); + } + if (__z_inf) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); + } + if (__w_zero) { + if (__z_zero) { + return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0)); + } + return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity())); } - return complex<_Tp>(__x, __y); + } + + _Tp __denom = __c * __c + __d * __d; + _Tp __x = std::__constexpr_scalbn((__a * __c + __b * __d) / __denom, -__ilogbw); + _Tp __y = std::__constexpr_scalbn((__b * __c - __a * __d) / __denom, -__ilogbw); + if (std::__constexpr_isnan(__x) && std::__constexpr_isnan(__y)) { + if ((__denom == _Tp(0)) && (!std::__constexpr_isnan(__a) || !std::__constexpr_isnan(__b))) { + __x = std::__constexpr_copysign(_Tp(INFINITY), __c) * __a; + __y = std::__constexpr_copysign(_Tp(INFINITY), __c) * __b; + } else if ((std::__constexpr_isinf(__a) || std::__constexpr_isinf(__b)) && std::__constexpr_isfinite(__c) && + std::__constexpr_isfinite(__d)) { + __a = std::__constexpr_copysign(std::__constexpr_isinf(__a) ? _Tp(1) : _Tp(0), __a); + __b = std::__constexpr_copysign(std::__constexpr_isinf(__b) ? _Tp(1) : _Tp(0), __b); + __x = _Tp(INFINITY) * (__a * __c + __b * __d); + __y = _Tp(INFINITY) * (__b * __c - __a * __d); + } else if (std::__constexpr_isinf(__logbw) && __logbw > _Tp(0) && std::__constexpr_isfinite(__a) && + std::__constexpr_isfinite(__b)) { + __c = std::__constexpr_copysign(std::__constexpr_isinf(__c) ? _Tp(1) : _Tp(0), __c); + __d = std::__constexpr_copysign(std::__constexpr_isinf(__d) ? _Tp(1) : _Tp(0), __d); + __x = _Tp(0) * (__a * __c + __b * __d); + __y = _Tp(0) * (__b * __c - __a * __d); + } + } + return complex<_Tp>(__x, __y); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator/(const complex<_Tp>& __x, const _Tp& __y) -{ - return complex<_Tp>(__x.real() / __y, __x.imag() / __y); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator/(const complex<_Tp>& __x, const _Tp& __y) { + return complex<_Tp>(__x.real() / __y, __x.imag() / __y); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator/(const _Tp& __x, const complex<_Tp>& __y) -{ - complex<_Tp> __t(__x); - __t /= __y; - return __t; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> +operator/(const _Tp& __x, const complex<_Tp>& __y) { + complex<_Tp> __t(__x); + __t /= __y; + return __t; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator+(const complex<_Tp>& __x) -{ - return __x; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator+(const complex<_Tp>& __x) { + return __x; } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -operator-(const complex<_Tp>& __x) -{ - return complex<_Tp>(-__x.real(), -__x.imag()); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator-(const complex<_Tp>& __x) { + return complex<_Tp>(-__x.real(), -__x.imag()); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) -{ - return __x.real() == __y.real() && __x.imag() == __y.imag(); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool +operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) { + return __x.real() == __y.real() && __x.imag() == __y.imag(); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator==(const complex<_Tp>& __x, const _Tp& __y) -{ - return __x.real() == __y && __x.imag() == 0; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const complex<_Tp>& __x, const _Tp& __y) { + return __x.real() == __y && __x.imag() == 0; } #if _LIBCPP_STD_VER <= 17 -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator==(const _Tp& __x, const complex<_Tp>& __y) -{ - return __x == __y.real() && 0 == __y.imag(); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const _Tp& __x, const complex<_Tp>& __y) { + return __x == __y.real() && 0 == __y.imag(); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) -{ - return !(__x == __y); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool +operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) { + return !(__x == __y); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator!=(const complex<_Tp>& __x, const _Tp& __y) -{ - return !(__x == __y); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const complex<_Tp>& __x, const _Tp& __y) { + return !(__x == __y); } -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -bool -operator!=(const _Tp& __x, const complex<_Tp>& __y) -{ - return !(__x == __y); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const _Tp& __x, const complex<_Tp>& __y) { + return !(__x == __y); } #endif // 26.3.7 values: -template <class _Tp, bool = is_integral<_Tp>::value, - bool = is_floating_point<_Tp>::value - > +template <class _Tp, bool = is_integral<_Tp>::value, bool = is_floating_point<_Tp>::value > struct __libcpp_complex_overload_traits {}; // Integral Types template <class _Tp> -struct __libcpp_complex_overload_traits<_Tp, true, false> -{ - typedef double _ValueType; - typedef complex<double> _ComplexType; +struct __libcpp_complex_overload_traits<_Tp, true, false> { + typedef double _ValueType; + typedef complex<double> _ComplexType; }; // Floating point types template <class _Tp> -struct __libcpp_complex_overload_traits<_Tp, false, true> -{ - typedef _Tp _ValueType; - typedef complex<_Tp> _ComplexType; +struct __libcpp_complex_overload_traits<_Tp, false, true> { + typedef _Tp _ValueType; + typedef complex<_Tp> _ComplexType; }; // real -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -_Tp -real(const complex<_Tp>& __c) -{ - return __c.real(); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp real(const complex<_Tp>& __c) { + return __c.real(); } template <class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -typename __libcpp_complex_overload_traits<_Tp>::_ValueType -real(_Tp __re) -{ - return __re; +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 typename __libcpp_complex_overload_traits<_Tp>::_ValueType +real(_Tp __re) { + return __re; } // imag -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -_Tp -imag(const complex<_Tp>& __c) -{ - return __c.imag(); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp imag(const complex<_Tp>& __c) { + return __c.imag(); } template <class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 -typename __libcpp_complex_overload_traits<_Tp>::_ValueType -imag(_Tp) -{ - return 0; +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 typename __libcpp_complex_overload_traits<_Tp>::_ValueType +imag(_Tp) { + return 0; } // abs -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -_Tp -abs(const complex<_Tp>& __c) -{ - return std::hypot(__c.real(), __c.imag()); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _Tp abs(const complex<_Tp>& __c) { + return std::hypot(__c.real(), __c.imag()); } // arg -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -_Tp -arg(const complex<_Tp>& __c) -{ - return std::atan2(__c.imag(), __c.real()); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _Tp arg(const complex<_Tp>& __c) { + return std::atan2(__c.imag(), __c.real()); } template <class _Tp, __enable_if_t<is_same<_Tp, long double>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -long double -arg(_Tp __re) -{ - return std::atan2l(0.L, __re); +inline _LIBCPP_HIDE_FROM_ABI long double arg(_Tp __re) { + return std::atan2l(0.L, __re); } -template<class _Tp, __enable_if_t<is_integral<_Tp>::value || is_same<_Tp, double>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -double -arg(_Tp __re) -{ - return std::atan2(0., __re); +template <class _Tp, __enable_if_t<is_integral<_Tp>::value || is_same<_Tp, double>::value, int> = 0> +inline _LIBCPP_HIDE_FROM_ABI double arg(_Tp __re) { + return std::atan2(0., __re); } template <class _Tp, __enable_if_t<is_same<_Tp, float>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -float -arg(_Tp __re) -{ - return std::atan2f(0.F, __re); +inline _LIBCPP_HIDE_FROM_ABI float arg(_Tp __re) { + return std::atan2f(0.F, __re); } // norm -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -_Tp -norm(const complex<_Tp>& __c) -{ - if (std::__constexpr_isinf(__c.real())) - return std::abs(__c.real()); - if (std::__constexpr_isinf(__c.imag())) - return std::abs(__c.imag()); - return __c.real() * __c.real() + __c.imag() * __c.imag(); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 _Tp norm(const complex<_Tp>& __c) { + if (std::__constexpr_isinf(__c.real())) + return std::abs(__c.real()); + if (std::__constexpr_isinf(__c.imag())) + return std::abs(__c.imag()); + return __c.real() * __c.real() + __c.imag() * __c.imag(); } template <class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -typename __libcpp_complex_overload_traits<_Tp>::_ValueType -norm(_Tp __re) -{ - typedef typename __libcpp_complex_overload_traits<_Tp>::_ValueType _ValueType; - return static_cast<_ValueType>(__re) * __re; +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 typename __libcpp_complex_overload_traits<_Tp>::_ValueType +norm(_Tp __re) { + typedef typename __libcpp_complex_overload_traits<_Tp>::_ValueType _ValueType; + return static_cast<_ValueType>(__re) * __re; } // conj -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -complex<_Tp> -conj(const complex<_Tp>& __c) -{ - return complex<_Tp>(__c.real(), -__c.imag()); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> conj(const complex<_Tp>& __c) { + return complex<_Tp>(__c.real(), -__c.imag()); } template <class _Tp> -inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 -typename __libcpp_complex_overload_traits<_Tp>::_ComplexType -conj(_Tp __re) -{ - typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType; - return _ComplexType(__re); +inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 typename __libcpp_complex_overload_traits<_Tp>::_ComplexType +conj(_Tp __re) { + typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType; + return _ComplexType(__re); } - - // proj -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -proj(const complex<_Tp>& __c) -{ - complex<_Tp> __r = __c; - if (std::__constexpr_isinf(__c.real()) || std::__constexpr_isinf(__c.imag())) - __r = complex<_Tp>(INFINITY, std::copysign(_Tp(0), __c.imag())); - return __r; +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> proj(const complex<_Tp>& __c) { + complex<_Tp> __r = __c; + if (std::__constexpr_isinf(__c.real()) || std::__constexpr_isinf(__c.imag())) + __r = complex<_Tp>(INFINITY, std::copysign(_Tp(0), __c.imag())); + return __r; } template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -typename __libcpp_complex_overload_traits<_Tp>::_ComplexType -proj(_Tp __re) -{ - if (std::__constexpr_isinf(__re)) - __re = std::abs(__re); - return complex<_Tp>(__re); +inline _LIBCPP_HIDE_FROM_ABI typename __libcpp_complex_overload_traits<_Tp>::_ComplexType proj(_Tp __re) { + if (std::__constexpr_isinf(__re)) + __re = std::abs(__re); + return complex<_Tp>(__re); } template <class _Tp, __enable_if_t<is_integral<_Tp>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -typename __libcpp_complex_overload_traits<_Tp>::_ComplexType -proj(_Tp __re) -{ - typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType; - return _ComplexType(__re); +inline _LIBCPP_HIDE_FROM_ABI typename __libcpp_complex_overload_traits<_Tp>::_ComplexType proj(_Tp __re) { + typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType; + return _ComplexType(__re); } // polar -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -polar(const _Tp& __rho, const _Tp& __theta = _Tp()) -{ - if (std::__constexpr_isnan(__rho) || std::signbit(__rho)) - return complex<_Tp>(_Tp(NAN), _Tp(NAN)); - if (std::__constexpr_isnan(__theta)) - { - if (std::__constexpr_isinf(__rho)) - return complex<_Tp>(__rho, __theta); - return complex<_Tp>(__theta, __theta); - } - if (std::__constexpr_isinf(__theta)) - { - if (std::__constexpr_isinf(__rho)) - return complex<_Tp>(__rho, _Tp(NAN)); - return complex<_Tp>(_Tp(NAN), _Tp(NAN)); - } - _Tp __x = __rho * std::cos(__theta); - if (std::__constexpr_isnan(__x)) - __x = 0; - _Tp __y = __rho * std::sin(__theta); - if (std::__constexpr_isnan(__y)) - __y = 0; - return complex<_Tp>(__x, __y); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> polar(const _Tp& __rho, const _Tp& __theta = _Tp()) { + if (std::__constexpr_isnan(__rho) || std::signbit(__rho)) + return complex<_Tp>(_Tp(NAN), _Tp(NAN)); + if (std::__constexpr_isnan(__theta)) { + if (std::__constexpr_isinf(__rho)) + return complex<_Tp>(__rho, __theta); + return complex<_Tp>(__theta, __theta); + } + if (std::__constexpr_isinf(__theta)) { + if (std::__constexpr_isinf(__rho)) + return complex<_Tp>(__rho, _Tp(NAN)); + return complex<_Tp>(_Tp(NAN), _Tp(NAN)); + } + _Tp __x = __rho * std::cos(__theta); + if (std::__constexpr_isnan(__x)) + __x = 0; + _Tp __y = __rho * std::sin(__theta); + if (std::__constexpr_isnan(__y)) + __y = 0; + return complex<_Tp>(__x, __y); } // log -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -log(const complex<_Tp>& __x) -{ - return complex<_Tp>(std::log(std::abs(__x)), std::arg(__x)); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log(const complex<_Tp>& __x) { + return complex<_Tp>(std::log(std::abs(__x)), std::arg(__x)); } // log10 -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -log10(const complex<_Tp>& __x) -{ - return std::log(__x) / std::log(_Tp(10)); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log10(const complex<_Tp>& __x) { + return std::log(__x) / std::log(_Tp(10)); } // sqrt -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -sqrt(const complex<_Tp>& __x) -{ - if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(_Tp(INFINITY), __x.imag()); - if (std::__constexpr_isinf(__x.real())) - { - if (__x.real() > _Tp(0)) - return complex<_Tp>(__x.real(), std::__constexpr_isnan(__x.imag()) ? __x.imag() : std::copysign(_Tp(0), __x.imag())); - return complex<_Tp>(std::__constexpr_isnan(__x.imag()) ? __x.imag() : _Tp(0), std::copysign(__x.real(), __x.imag())); - } - return std::polar(std::sqrt(std::abs(__x)), std::arg(__x) / _Tp(2)); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> sqrt(const complex<_Tp>& __x) { + if (std::__constexpr_isinf(__x.imag())) + return complex<_Tp>(_Tp(INFINITY), __x.imag()); + if (std::__constexpr_isinf(__x.real())) { + if (__x.real() > _Tp(0)) + return complex<_Tp>( + __x.real(), std::__constexpr_isnan(__x.imag()) ? __x.imag() : std::copysign(_Tp(0), __x.imag())); + return complex<_Tp>( + std::__constexpr_isnan(__x.imag()) ? __x.imag() : _Tp(0), std::copysign(__x.real(), __x.imag())); + } + return std::polar(std::sqrt(std::abs(__x)), std::arg(__x) / _Tp(2)); } // exp -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -exp(const complex<_Tp>& __x) -{ - _Tp __i = __x.imag(); - if (__i == 0) { - return complex<_Tp>(std::exp(__x.real()), std::copysign(_Tp(0), __x.imag())); - } - if (std::__constexpr_isinf(__x.real())) - { - if (__x.real() < _Tp(0)) - { - if (!std::__constexpr_isfinite(__i)) - __i = _Tp(1); - } - else if (__i == 0 || !std::__constexpr_isfinite(__i)) - { - if (std::__constexpr_isinf(__i)) - __i = _Tp(NAN); - return complex<_Tp>(__x.real(), __i); - } +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> exp(const complex<_Tp>& __x) { + _Tp __i = __x.imag(); + if (__i == 0) { + return complex<_Tp>(std::exp(__x.real()), std::copysign(_Tp(0), __x.imag())); + } + if (std::__constexpr_isinf(__x.real())) { + if (__x.real() < _Tp(0)) { + if (!std::__constexpr_isfinite(__i)) + __i = _Tp(1); + } else if (__i == 0 || !std::__constexpr_isfinite(__i)) { + if (std::__constexpr_isinf(__i)) + __i = _Tp(NAN); + return complex<_Tp>(__x.real(), __i); } - _Tp __e = std::exp(__x.real()); - return complex<_Tp>(__e * std::cos(__i), __e * std::sin(__i)); + } + _Tp __e = std::exp(__x.real()); + return complex<_Tp>(__e * std::cos(__i), __e * std::sin(__i)); } // pow -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -pow(const complex<_Tp>& __x, const complex<_Tp>& __y) -{ - return std::exp(__y * std::log(__x)); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> pow(const complex<_Tp>& __x, const complex<_Tp>& __y) { + return std::exp(__y * std::log(__x)); } -template<class _Tp, class _Up> -inline _LIBCPP_HIDE_FROM_ABI -complex<typename __promote<_Tp, _Up>::type> -pow(const complex<_Tp>& __x, const complex<_Up>& __y) -{ - typedef complex<typename __promote<_Tp, _Up>::type> result_type; - return std::pow(result_type(__x), result_type(__y)); +template <class _Tp, class _Up> +inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> +pow(const complex<_Tp>& __x, const complex<_Up>& __y) { + typedef complex<typename __promote<_Tp, _Up>::type> result_type; + return std::pow(result_type(__x), result_type(__y)); } -template<class _Tp, class _Up, __enable_if_t<is_arithmetic<_Up>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -complex<typename __promote<_Tp, _Up>::type> -pow(const complex<_Tp>& __x, const _Up& __y) -{ - typedef complex<typename __promote<_Tp, _Up>::type> result_type; - return std::pow(result_type(__x), result_type(__y)); +template <class _Tp, class _Up, __enable_if_t<is_arithmetic<_Up>::value, int> = 0> +inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const complex<_Tp>& __x, const _Up& __y) { + typedef complex<typename __promote<_Tp, _Up>::type> result_type; + return std::pow(result_type(__x), result_type(__y)); } -template<class _Tp, class _Up, __enable_if_t<is_arithmetic<_Tp>::value, int> = 0> -inline _LIBCPP_HIDE_FROM_ABI -complex<typename __promote<_Tp, _Up>::type> -pow(const _Tp& __x, const complex<_Up>& __y) -{ - typedef complex<typename __promote<_Tp, _Up>::type> result_type; - return std::pow(result_type(__x), result_type(__y)); +template <class _Tp, class _Up, __enable_if_t<is_arithmetic<_Tp>::value, int> = 0> +inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const _Tp& __x, const complex<_Up>& __y) { + typedef complex<typename __promote<_Tp, _Up>::type> result_type; + return std::pow(result_type(__x), result_type(__y)); } // __sqr, computes pow(x, 2) -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -__sqr(const complex<_Tp>& __x) -{ - return complex<_Tp>((__x.real() - __x.imag()) * (__x.real() + __x.imag()), - _Tp(2) * __x.real() * __x.imag()); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> __sqr(const complex<_Tp>& __x) { + return complex<_Tp>((__x.real() - __x.imag()) * (__x.real() + __x.imag()), _Tp(2) * __x.real() * __x.imag()); } // asinh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -asinh(const complex<_Tp>& __x) -{ - const _Tp __pi(atan2(+0., -0.)); - if (std::__constexpr_isinf(__x.real())) - { - if (std::__constexpr_isnan(__x.imag())) - return __x; - if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag())); - return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag())); - } - if (std::__constexpr_isnan(__x.real())) - { - if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(__x.imag(), __x.real()); - if (__x.imag() == 0) - return __x; - return complex<_Tp>(__x.real(), __x.real()); - } +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> asinh(const complex<_Tp>& __x) { + const _Tp __pi(atan2(+0., -0.)); + if (std::__constexpr_isinf(__x.real())) { + if (std::__constexpr_isnan(__x.imag())) + return __x; + if (std::__constexpr_isinf(__x.imag())) + return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag())); + return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag())); + } + if (std::__constexpr_isnan(__x.real())) { if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(std::copysign(__x.imag(), __x.real()), std::copysign(__pi/_Tp(2), __x.imag())); - complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) + _Tp(1))); - return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag())); + return complex<_Tp>(__x.imag(), __x.real()); + if (__x.imag() == 0) + return __x; + return complex<_Tp>(__x.real(), __x.real()); + } + if (std::__constexpr_isinf(__x.imag())) + return complex<_Tp>(std::copysign(__x.imag(), __x.real()), std::copysign(__pi / _Tp(2), __x.imag())); + complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) + _Tp(1))); + return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag())); } // acosh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -acosh(const complex<_Tp>& __x) -{ - const _Tp __pi(atan2(+0., -0.)); - if (std::__constexpr_isinf(__x.real())) - { - if (std::__constexpr_isnan(__x.imag())) - return complex<_Tp>(std::abs(__x.real()), __x.imag()); - if (std::__constexpr_isinf(__x.imag())) - { - if (__x.real() > 0) - return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag())); - else - return complex<_Tp>(-__x.real(), std::copysign(__pi * _Tp(0.75), __x.imag())); - } - if (__x.real() < 0) - return complex<_Tp>(-__x.real(), std::copysign(__pi, __x.imag())); - return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag())); - } - if (std::__constexpr_isnan(__x.real())) - { - if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(std::abs(__x.imag()), __x.real()); - return complex<_Tp>(__x.real(), __x.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> acosh(const complex<_Tp>& __x) { + const _Tp __pi(atan2(+0., -0.)); + if (std::__constexpr_isinf(__x.real())) { + if (std::__constexpr_isnan(__x.imag())) + return complex<_Tp>(std::abs(__x.real()), __x.imag()); + if (std::__constexpr_isinf(__x.imag())) { + if (__x.real() > 0) + return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag())); + else + return complex<_Tp>(-__x.real(), std::copysign(__pi * _Tp(0.75), __x.imag())); } + if (__x.real() < 0) + return complex<_Tp>(-__x.real(), std::copysign(__pi, __x.imag())); + return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag())); + } + if (std::__constexpr_isnan(__x.real())) { if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(std::abs(__x.imag()), std::copysign(__pi/_Tp(2), __x.imag())); - complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1))); - return complex<_Tp>(std::copysign(__z.real(), _Tp(0)), std::copysign(__z.imag(), __x.imag())); + return complex<_Tp>(std::abs(__x.imag()), __x.real()); + return complex<_Tp>(__x.real(), __x.real()); + } + if (std::__constexpr_isinf(__x.imag())) + return complex<_Tp>(std::abs(__x.imag()), std::copysign(__pi / _Tp(2), __x.imag())); + complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1))); + return complex<_Tp>(std::copysign(__z.real(), _Tp(0)), std::copysign(__z.imag(), __x.imag())); } // atanh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -atanh(const complex<_Tp>& __x) -{ - const _Tp __pi(atan2(+0., -0.)); - if (std::__constexpr_isinf(__x.imag())) - { - return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi/_Tp(2), __x.imag())); - } - if (std::__constexpr_isnan(__x.imag())) - { - if (std::__constexpr_isinf(__x.real()) || __x.real() == 0) - return complex<_Tp>(std::copysign(_Tp(0), __x.real()), __x.imag()); - return complex<_Tp>(__x.imag(), __x.imag()); - } - if (std::__constexpr_isnan(__x.real())) - { - return complex<_Tp>(__x.real(), __x.real()); - } - if (std::__constexpr_isinf(__x.real())) - { - return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi/_Tp(2), __x.imag())); - } - if (std::abs(__x.real()) == _Tp(1) && __x.imag() == _Tp(0)) - { - return complex<_Tp>(std::copysign(_Tp(INFINITY), __x.real()), std::copysign(_Tp(0), __x.imag())); - } - complex<_Tp> __z = std::log((_Tp(1) + __x) / (_Tp(1) - __x)) / _Tp(2); - return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag())); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> atanh(const complex<_Tp>& __x) { + const _Tp __pi(atan2(+0., -0.)); + if (std::__constexpr_isinf(__x.imag())) { + return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag())); + } + if (std::__constexpr_isnan(__x.imag())) { + if (std::__constexpr_isinf(__x.real()) || __x.real() == 0) + return complex<_Tp>(std::copysign(_Tp(0), __x.real()), __x.imag()); + return complex<_Tp>(__x.imag(), __x.imag()); + } + if (std::__constexpr_isnan(__x.real())) { + return complex<_Tp>(__x.real(), __x.real()); + } + if (std::__constexpr_isinf(__x.real())) { + return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag())); + } + if (std::abs(__x.real()) == _Tp(1) && __x.imag() == _Tp(0)) { + return complex<_Tp>(std::copysign(_Tp(INFINITY), __x.real()), std::copysign(_Tp(0), __x.imag())); + } + complex<_Tp> __z = std::log((_Tp(1) + __x) / (_Tp(1) - __x)) / _Tp(2); + return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag())); } // sinh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -sinh(const complex<_Tp>& __x) -{ - if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag())) - return complex<_Tp>(__x.real(), _Tp(NAN)); - if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag())) - return complex<_Tp>(__x.real(), _Tp(NAN)); - if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real())) - return __x; - return complex<_Tp>(std::sinh(__x.real()) * std::cos(__x.imag()), std::cosh(__x.real()) * std::sin(__x.imag())); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> sinh(const complex<_Tp>& __x) { + if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag())) + return complex<_Tp>(__x.real(), _Tp(NAN)); + if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag())) + return complex<_Tp>(__x.real(), _Tp(NAN)); + if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real())) + return __x; + return complex<_Tp>(std::sinh(__x.real()) * std::cos(__x.imag()), std::cosh(__x.real()) * std::sin(__x.imag())); } // cosh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -cosh(const complex<_Tp>& __x) -{ - if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag())) - return complex<_Tp>(std::abs(__x.real()), _Tp(NAN)); - if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag())) - return complex<_Tp>(_Tp(NAN), __x.real()); - if (__x.real() == 0 && __x.imag() == 0) - return complex<_Tp>(_Tp(1), __x.imag()); - if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real())) - return complex<_Tp>(std::abs(__x.real()), __x.imag()); - return complex<_Tp>(std::cosh(__x.real()) * std::cos(__x.imag()), std::sinh(__x.real()) * std::sin(__x.imag())); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> cosh(const complex<_Tp>& __x) { + if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag())) + return complex<_Tp>(std::abs(__x.real()), _Tp(NAN)); + if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag())) + return complex<_Tp>(_Tp(NAN), __x.real()); + if (__x.real() == 0 && __x.imag() == 0) + return complex<_Tp>(_Tp(1), __x.imag()); + if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real())) + return complex<_Tp>(std::abs(__x.real()), __x.imag()); + return complex<_Tp>(std::cosh(__x.real()) * std::cos(__x.imag()), std::sinh(__x.real()) * std::sin(__x.imag())); } // tanh -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -tanh(const complex<_Tp>& __x) -{ - if (std::__constexpr_isinf(__x.real())) - { - if (!std::__constexpr_isfinite(__x.imag())) - return complex<_Tp>(std::copysign(_Tp(1), __x.real()), _Tp(0)); - return complex<_Tp>(std::copysign(_Tp(1), __x.real()), std::copysign(_Tp(0), std::sin(_Tp(2) * __x.imag()))); - } - if (std::__constexpr_isnan(__x.real()) && __x.imag() == 0) - return __x; - _Tp __2r(_Tp(2) * __x.real()); - _Tp __2i(_Tp(2) * __x.imag()); - _Tp __d(std::cosh(__2r) + std::cos(__2i)); - _Tp __2rsh(std::sinh(__2r)); - if (std::__constexpr_isinf(__2rsh) && std::__constexpr_isinf(__d)) - return complex<_Tp>(__2rsh > _Tp(0) ? _Tp(1) : _Tp(-1), - __2i > _Tp(0) ? _Tp(0) : _Tp(-0.)); - return complex<_Tp>(__2rsh/__d, std::sin(__2i)/__d); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> tanh(const complex<_Tp>& __x) { + if (std::__constexpr_isinf(__x.real())) { + if (!std::__constexpr_isfinite(__x.imag())) + return complex<_Tp>(std::copysign(_Tp(1), __x.real()), _Tp(0)); + return complex<_Tp>(std::copysign(_Tp(1), __x.real()), std::copysign(_Tp(0), std::sin(_Tp(2) * __x.imag()))); + } + if (std::__constexpr_isnan(__x.real()) && __x.imag() == 0) + return __x; + _Tp __2r(_Tp(2) * __x.real()); + _Tp __2i(_Tp(2) * __x.imag()); + _Tp __d(std::cosh(__2r) + std::cos(__2i)); + _Tp __2rsh(std::sinh(__2r)); + if (std::__constexpr_isinf(__2rsh) && std::__constexpr_isinf(__d)) + return complex<_Tp>(__2rsh > _Tp(0) ? _Tp(1) : _Tp(-1), __2i > _Tp(0) ? _Tp(0) : _Tp(-0.)); + return complex<_Tp>(__2rsh / __d, std::sin(__2i) / __d); } // asin -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -asin(const complex<_Tp>& __x) -{ - complex<_Tp> __z = std::asinh(complex<_Tp>(-__x.imag(), __x.real())); - return complex<_Tp>(__z.imag(), -__z.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> asin(const complex<_Tp>& __x) { + complex<_Tp> __z = std::asinh(complex<_Tp>(-__x.imag(), __x.real())); + return complex<_Tp>(__z.imag(), -__z.real()); } // acos -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -acos(const complex<_Tp>& __x) -{ - const _Tp __pi(atan2(+0., -0.)); - if (std::__constexpr_isinf(__x.real())) - { - if (std::__constexpr_isnan(__x.imag())) - return complex<_Tp>(__x.imag(), __x.real()); - if (std::__constexpr_isinf(__x.imag())) - { - if (__x.real() < _Tp(0)) - return complex<_Tp>(_Tp(0.75) * __pi, -__x.imag()); - return complex<_Tp>(_Tp(0.25) * __pi, -__x.imag()); - } - if (__x.real() < _Tp(0)) - return complex<_Tp>(__pi, std::signbit(__x.imag()) ? -__x.real() : __x.real()); - return complex<_Tp>(_Tp(0), std::signbit(__x.imag()) ? __x.real() : -__x.real()); - } - if (std::__constexpr_isnan(__x.real())) - { - if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(__x.real(), -__x.imag()); - return complex<_Tp>(__x.real(), __x.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> acos(const complex<_Tp>& __x) { + const _Tp __pi(atan2(+0., -0.)); + if (std::__constexpr_isinf(__x.real())) { + if (std::__constexpr_isnan(__x.imag())) + return complex<_Tp>(__x.imag(), __x.real()); + if (std::__constexpr_isinf(__x.imag())) { + if (__x.real() < _Tp(0)) + return complex<_Tp>(_Tp(0.75) * __pi, -__x.imag()); + return complex<_Tp>(_Tp(0.25) * __pi, -__x.imag()); } + if (__x.real() < _Tp(0)) + return complex<_Tp>(__pi, std::signbit(__x.imag()) ? -__x.real() : __x.real()); + return complex<_Tp>(_Tp(0), std::signbit(__x.imag()) ? __x.real() : -__x.real()); + } + if (std::__constexpr_isnan(__x.real())) { if (std::__constexpr_isinf(__x.imag())) - return complex<_Tp>(__pi/_Tp(2), -__x.imag()); - if (__x.real() == 0 && (__x.imag() == 0 || std::isnan(__x.imag()))) - return complex<_Tp>(__pi/_Tp(2), -__x.imag()); - complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1))); - if (std::signbit(__x.imag())) - return complex<_Tp>(std::abs(__z.imag()), std::abs(__z.real())); - return complex<_Tp>(std::abs(__z.imag()), -std::abs(__z.real())); + return complex<_Tp>(__x.real(), -__x.imag()); + return complex<_Tp>(__x.real(), __x.real()); + } + if (std::__constexpr_isinf(__x.imag())) + return complex<_Tp>(__pi / _Tp(2), -__x.imag()); + if (__x.real() == 0 && (__x.imag() == 0 || std::isnan(__x.imag()))) + return complex<_Tp>(__pi / _Tp(2), -__x.imag()); + complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1))); + if (std::signbit(__x.imag())) + return complex<_Tp>(std::abs(__z.imag()), std::abs(__z.real())); + return complex<_Tp>(std::abs(__z.imag()), -std::abs(__z.real())); } // atan -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -atan(const complex<_Tp>& __x) -{ - complex<_Tp> __z = std::atanh(complex<_Tp>(-__x.imag(), __x.real())); - return complex<_Tp>(__z.imag(), -__z.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> atan(const complex<_Tp>& __x) { + complex<_Tp> __z = std::atanh(complex<_Tp>(-__x.imag(), __x.real())); + return complex<_Tp>(__z.imag(), -__z.real()); } // sin -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -sin(const complex<_Tp>& __x) -{ - complex<_Tp> __z = std::sinh(complex<_Tp>(-__x.imag(), __x.real())); - return complex<_Tp>(__z.imag(), -__z.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> sin(const complex<_Tp>& __x) { + complex<_Tp> __z = std::sinh(complex<_Tp>(-__x.imag(), __x.real())); + return complex<_Tp>(__z.imag(), -__z.real()); } // cos -template<class _Tp> -inline _LIBCPP_HIDE_FROM_ABI -complex<_Tp> -cos(const complex<_Tp>& __x) -{ - return std::cosh(complex<_Tp>(-__x.imag(), __x.real())); +template <class _Tp> +inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> cos(const complex<_Tp>& __x) { + return std::cosh(complex<_Tp>(-__x.imag(), __x.real())); } // tan -template<class _Tp> -_LIBCPP_HIDE_FROM_ABI complex<_Tp> -tan(const complex<_Tp>& __x) -{ - complex<_Tp> __z = std::tanh(complex<_Tp>(-__x.imag(), __x.real())); - return complex<_Tp>(__z.imag(), -__z.real()); +template <class _Tp> +_LIBCPP_HIDE_FROM_ABI complex<_Tp> tan(const complex<_Tp>& __x) { + complex<_Tp> __z = std::tanh(complex<_Tp>(-__x.imag(), __x.real())); + return complex<_Tp>(__z.imag(), -__z.real()); } #if !defined(_LIBCPP_HAS_NO_LOCALIZATION) -template<class _Tp, class _CharT, class _Traits> +template <class _Tp, class _CharT, class _Traits> _LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>& -operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x) -{ - if (__is.good()) - { +operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x) { + if (__is.good()) { + std::ws(__is); + if (__is.peek() == _CharT('(')) { + __is.get(); + _Tp __r; + __is >> __r; + if (!__is.fail()) { std::ws(__is); - if (__is.peek() == _CharT('(')) - { - __is.get(); - _Tp __r; - __is >> __r; - if (!__is.fail()) - { - std::ws(__is); - _CharT __c = __is.peek(); - if (__c == _CharT(',')) - { - __is.get(); - _Tp __i; - __is >> __i; - if (!__is.fail()) - { - std::ws(__is); - __c = __is.peek(); - if (__c == _CharT(')')) - { - __is.get(); - __x = complex<_Tp>(__r, __i); - } - else - __is.setstate(__is.failbit); - } - else - __is.setstate(__is.failbit); - } - else if (__c == _CharT(')')) - { - __is.get(); - __x = complex<_Tp>(__r, _Tp(0)); - } - else - __is.setstate(__is.failbit); - } - else - __is.setstate(__is.failbit); - } - else - { - _Tp __r; - __is >> __r; - if (!__is.fail()) - __x = complex<_Tp>(__r, _Tp(0)); - else - __is.setstate(__is.failbit); - } - } - else + _CharT __c = __is.peek(); + if (__c == _CharT(',')) { + __is.get(); + _Tp __i; + __is >> __i; + if (!__is.fail()) { + std::ws(__is); + __c = __is.peek(); + if (__c == _CharT(')')) { + __is.get(); + __x = complex<_Tp>(__r, __i); + } else + __is.setstate(__is.failbit); + } else + __is.setstate(__is.failbit); + } else if (__c == _CharT(')')) { + __is.get(); + __x = complex<_Tp>(__r, _Tp(0)); + } else + __is.setstate(__is.failbit); + } else __is.setstate(__is.failbit); - return __is; + } else { + _Tp __r; + __is >> __r; + if (!__is.fail()) + __x = complex<_Tp>(__r, _Tp(0)); + else + __is.setstate(__is.failbit); + } + } else + __is.setstate(__is.failbit); + return __is; } -template<class _Tp, class _CharT, class _Traits> +template <class _Tp, class _CharT, class _Traits> _LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>& -operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x) -{ - basic_ostringstream<_CharT, _Traits> __s; - __s.flags(__os.flags()); - __s.imbue(__os.getloc()); - __s.precision(__os.precision()); - __s << '(' << __x.real() << ',' << __x.imag() << ')'; - return __os << __s.str(); +operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x) { + basic_ostringstream<_CharT, _Traits> __s; + __s.flags(__os.flags()); + __s.imbue(__os.getloc()); + __s.precision(__os.precision()); + __s << '(' << __x.real() << ',' << __x.imag() << ')'; + return __os << __s.str(); } #endif // !_LIBCPP_HAS_NO_LOCALIZATION #if _LIBCPP_STD_VER >= 14 // Literal suffix for complex number literals [complex.literals] -inline namespace literals -{ - inline namespace complex_literals - { - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(long double __im) - { - return { 0.0l, __im }; - } +inline namespace literals { +inline namespace complex_literals { +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(long double __im) { return {0.0l, __im}; } - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(unsigned long long __im) - { - return { 0.0l, static_cast<long double>(__im) }; - } - - - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(long double __im) - { - return { 0.0, static_cast<double>(__im) }; - } +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(unsigned long long __im) { + return {0.0l, static_cast<long double>(__im)}; +} - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(unsigned long long __im) - { - return { 0.0, static_cast<double>(__im) }; - } +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(long double __im) { + return {0.0, static_cast<double>(__im)}; +} +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(unsigned long long __im) { + return {0.0, static_cast<double>(__im)}; +} - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(long double __im) - { - return { 0.0f, static_cast<float>(__im) }; - } +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(long double __im) { + return {0.0f, static_cast<float>(__im)}; +} - _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(unsigned long long __im) - { - return { 0.0f, static_cast<float>(__im) }; - } - } // namespace complex_literals +_LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(unsigned long long __im) { + return {0.0f, static_cast<float>(__im)}; +} +} // namespace complex_literals } // namespace literals #endif |