Lines Matching refs:complex
14 complex synopsis
20 class complex
25 complex(const T& re = T(), const T& im = T()); // constexpr in C++14
26 complex(const complex&); // constexpr in C++14
27 template<class X> complex(const complex<X>&); // constexpr in C++14
35 complex<T>& operator= (const T&); // constexpr in C++20
36 complex<T>& operator+=(const T&); // constexpr in C++20
37 complex<T>& operator-=(const T&); // constexpr in C++20
38 complex<T>& operator*=(const T&); // constexpr in C++20
39 complex<T>& operator/=(const T&); // constexpr in C++20
41 complex& operator=(const complex&); // constexpr in C++20
42 template<class X> complex<T>& operator= (const complex<X>&); // constexpr in C++20
43 template<class X> complex<T>& operator+=(const complex<X>&); // constexpr in C++20
44 template<class X> complex<T>& operator-=(const complex<X>&); // constexpr in C++20
45 template<class X> complex<T>& operator*=(const complex<X>&); // constexpr in C++20
46 template<class X> complex<T>& operator/=(const complex<X>&); // constexpr in C++20
50 class complex<float>
55 constexpr complex(float re = 0.0f, float im = 0.0f);
56 explicit constexpr complex(const complex<double>&);
57 explicit constexpr complex(const complex<long double>&);
64 complex<float>& operator= (float); // constexpr in C++20
65 complex<float>& operator+=(float); // constexpr in C++20
66 complex<float>& operator-=(float); // constexpr in C++20
67 complex<float>& operator*=(float); // constexpr in C++20
68 complex<float>& operator/=(float); // constexpr in C++20
70 complex<float>& operator=(const complex<float>&); // constexpr in C++20
71 template<class X> complex<float>& operator= (const complex<X>&); // constexpr in C++20
72 template<class X> complex<float>& operator+=(const complex<X>&); // constexpr in C++20
73 template<class X> complex<float>& operator-=(const complex<X>&); // constexpr in C++20
74 template<class X> complex<float>& operator*=(const complex<X>&); // constexpr in C++20
75 template<class X> complex<float>& operator/=(const complex<X>&); // constexpr in C++20
79 class complex<double>
84 constexpr complex(double re = 0.0, double im = 0.0);
85 constexpr complex(const complex<float>&);
86 explicit constexpr complex(const complex<long double>&);
93 complex<double>& operator= (double); // constexpr in C++20
94 complex<double>& operator+=(double); // constexpr in C++20
95 complex<double>& operator-=(double); // constexpr in C++20
96 complex<double>& operator*=(double); // constexpr in C++20
97 complex<double>& operator/=(double); // constexpr in C++20
98 complex<double>& operator=(const complex<double>&); // constexpr in C++20
100 template<class X> complex<double>& operator= (const complex<X>&); // constexpr in C++20
101 template<class X> complex<double>& operator+=(const complex<X>&); // constexpr in C++20
102 template<class X> complex<double>& operator-=(const complex<X>&); // constexpr in C++20
103 template<class X> complex<double>& operator*=(const complex<X>&); // constexpr in C++20
104 template<class X> complex<double>& operator/=(const complex<X>&); // constexpr in C++20
108 class complex<long double>
113 constexpr complex(long double re = 0.0L, long double im = 0.0L);
114 constexpr complex(const complex<float>&);
115 constexpr complex(const complex<double>&);
122 complex<long double>& operator=(const complex<long double>&); // constexpr in C++20
123 complex<long double>& operator= (long double); // constexpr in C++20
124 complex<long double>& operator+=(long double); // constexpr in C++20
125 complex<long double>& operator-=(long double); // constexpr in C++20
126 complex<long double>& operator*=(long double); // constexpr in C++20
127 complex<long double>& operator/=(long double); // constexpr in C++20
129 template<class X> complex<long double>& operator= (const complex<X>&); // constexpr in C++20
130 template<class X> complex<long double>& operator+=(const complex<X>&); // constexpr in C++20
131 template<class X> complex<long double>& operator-=(const complex<X>&); // constexpr in C++20
132 template<class X> complex<long double>& operator*=(const complex<X>&); // constexpr in C++20
133 template<class X> complex<long double>& operator/=(const complex<X>&); // constexpr in C++20
137 template<class T> complex<T> operator+(const complex<T>&, const complex<T>&); // constexpr in C++20
138 template<class T> complex<T> operator+(const complex<T>&, const T&); // constexpr in C++20
139 template<class T> complex<T> operator+(const T&, const complex<T>&); // constexpr in C++20
140 template<class T> complex<T> operator-(const complex<T>&, const complex<T>&); // constexpr in C++20
141 template<class T> complex<T> operator-(const complex<T>&, const T&); // constexpr in C++20
142 template<class T> complex<T> operator-(const T&, const complex<T>&); // constexpr in C++20
143 template<class T> complex<T> operator*(const complex<T>&, const complex<T>&); // constexpr in C++20
144 template<class T> complex<T> operator*(const complex<T>&, const T&); // constexpr in C++20
145 template<class T> complex<T> operator*(const T&, const complex<T>&); // constexpr in C++20
146 template<class T> complex<T> operator/(const complex<T>&, const complex<T>&); // constexpr in C++20
147 template<class T> complex<T> operator/(const complex<T>&, const T&); // constexpr in C++20
148 template<class T> complex<T> operator/(const T&, const complex<T>&); // constexpr in C++20
149 template<class T> complex<T> operator+(const complex<T>&); // constexpr in C++20
150 template<class T> complex<T> operator-(const complex<T>&); // constexpr in C++20
151 template<class T> bool operator==(const complex<T>&, const complex<T>&); // constexpr in C++14
152 template<class T> bool operator==(const complex<T>&, const T&); // constexpr in C++14
153 template<class T> bool operator==(const T&, const complex<T>&); // constexpr in C++14…
154 template<class T> bool operator!=(const complex<T>&, const complex<T>&); // constexpr in C++14…
155 template<class T> bool operator!=(const complex<T>&, const T&); // constexpr in C++14…
156 template<class T> bool operator!=(const T&, const complex<T>&); // constexpr in C++14…
160 operator>>(basic_istream<charT, traits>&, complex<T>&);
163 operator<<(basic_ostream<charT, traits>&, const complex<T>&);
167 template<class T> T real(const complex<T>&); // constexpr in C++14
173 template<class T> T imag(const complex<T>&); // constexpr in C++14
179 template<class T> T abs(const complex<T>&);
181 template<class T> T arg(const complex<T>&);
187 template<class T> T norm(const complex<T>&); // constexpr in C++20
193 template<class T> complex<T> conj(const complex<T>&); // constexpr in C++20
194 complex<long double> conj(long double); // constexpr in C++20
195 complex<double> conj(double); // constexpr in C++20
196 template<Integral T> complex<double> conj(T); // constexpr in C++20
197 complex<float> conj(float); // constexpr in C++20
199 template<class T> complex<T> proj(const complex<T>&);
200 complex<long double> proj(long double);
201 complex<double> proj(double);
202 template<Integral T> complex<double> proj(T);
203 complex<float> proj(float);
205 template<class T> complex<T> polar(const T&, const T& = T());
208 template<class T> complex<T> acos(const complex<T>&);
209 template<class T> complex<T> asin(const complex<T>&);
210 template<class T> complex<T> atan(const complex<T>&);
211 template<class T> complex<T> acosh(const complex<T>&);
212 template<class T> complex<T> asinh(const complex<T>&);
213 template<class T> complex<T> atanh(const complex<T>&);
214 template<class T> complex<T> cos (const complex<T>&);
215 template<class T> complex<T> cosh (const complex<T>&);
216 template<class T> complex<T> exp (const complex<T>&);
217 template<class T> complex<T> log (const complex<T>&);
218 template<class T> complex<T> log10(const complex<T>&);
220 template<class T> complex<T> pow(const complex<T>&, const T&);
221 template<class T> complex<T> pow(const complex<T>&, const complex<T>&);
222 template<class T> complex<T> pow(const T&, const complex<T>&);
224 template<class T> complex<T> sin (const complex<T>&);
225 template<class T> complex<T> sinh (const complex<T>&);
226 template<class T> complex<T> sqrt (const complex<T>&);
227 template<class T> complex<T> tan (const complex<T>&);
228 template<class T> complex<T> tanh (const complex<T>&);
250 class _LIBCPP_TEMPLATE_VIS complex;
253 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
254 operator*(const complex<_Tp>& __z, const complex<_Tp>& __w);
256 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
257 operator/(const complex<_Tp>& __x, const complex<_Tp>& __y);
260 class _LIBCPP_TEMPLATE_VIS complex {
270 complex(const value_type& __re = value_type(), const value_type& __im = value_type())
273 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 complex(const complex<_Xp>& __c)
282 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const value_type& __re) {
287 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const value_type& __re) {
291 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const value_type& __re) {
295 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const value_type& __re) {
300 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const value_type& __re) {
307 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
313 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
319 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
325 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
326 *this = *this * complex(__c.real(), __c.imag());
330 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
331 *this = *this / complex(__c.real(), __c.imag());
337 class _LIBCPP_TEMPLATE_VIS complex<double>;
339 class _LIBCPP_TEMPLATE_VIS complex<long double>;
342 class _LIBCPP_TEMPLATE_VIS complex<float> {
349 …_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(float __re = 0.0f, float __im = 0.0f) : __re_(__re…
350 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
351 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
359 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(float __re) {
364 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(float __re) {
368 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(float __re) {
372 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(float __re) {
377 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(float __re) {
384 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
390 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
396 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
402 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
403 *this = *this * complex(__c.real(), __c.imag());
407 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
408 *this = *this / complex(__c.real(), __c.imag());
414 class _LIBCPP_TEMPLATE_VIS complex<double> {
421 …_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(double __re = 0.0, double __im = 0.0) : __re_(__re…
422 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
423 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
431 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(double __re) {
436 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(double __re) {
440 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(double __re) {
444 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(double __re) {
449 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(double __re) {
456 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
462 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
468 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
474 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
475 *this = *this * complex(__c.real(), __c.imag());
479 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
480 *this = *this / complex(__c.real(), __c.imag());
486 class _LIBCPP_TEMPLATE_VIS complex<long double> {
493 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(long double __re = 0.0L, long double __im = 0.0L)
495 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
496 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
504 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(long double __re) {
509 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(long double __re) {
513 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(long double __re) {
517 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(long double __re) {
522 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(long double __re) {
529 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
535 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
541 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
547 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
548 *this = *this * complex(__c.real(), __c.imag());
552 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
553 *this = *this / complex(__c.real(), __c.imag());
558 inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<double>& __c) : __re_(__c.real()), _…
560 inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<long double>& __c)
563 inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<float>& __c) : __re_(__c.real()), _…
565 inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<long double>& __c)
568 inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<float>& __c)
571 inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<double>& __c)
577 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
578 operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) {
579 complex<_Tp> __t(__x);
585 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
586 operator+(const complex<_Tp>& __x, const _Tp& __y) {
587 complex<_Tp> __t(__x);
593 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
594 operator+(const _Tp& __x, const complex<_Tp>& __y) {
595 complex<_Tp> __t(__y);
601 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
602 operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) {
603 complex<_Tp> __t(__x);
609 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
610 operator-(const complex<_Tp>& __x, const _Tp& __y) {
611 complex<_Tp> __t(__x);
617 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
618 operator-(const _Tp& __x, const complex<_Tp>& __y) {
619 complex<_Tp> __t(-__y);
625 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
626 operator*(const complex<_Tp>& __z, const complex<_Tp>& __w) {
645 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
649 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
651 … return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
656 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
703 return complex<_Tp>(__x, __y);
707 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
708 operator*(const complex<_Tp>& __x, const _Tp& __y) {
709 complex<_Tp> __t(__x);
715 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
716 operator*(const _Tp& __x, const complex<_Tp>& __y) {
717 complex<_Tp> __t(__y);
723 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
724 operator/(const complex<_Tp>& __z, const complex<_Tp>& __w) {
750 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
756 … return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
758 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
761 return complex<_Tp>(_Tp(0), _Tp(0));
764 … return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
768 return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
770 … return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
795 return complex<_Tp>(__x, __y);
799 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
800 operator/(const complex<_Tp>& __x, const _Tp& __y) {
801 return complex<_Tp>(__x.real() / __y, __x.imag() / __y);
805 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
806 operator/(const _Tp& __x, const complex<_Tp>& __y) {
807 complex<_Tp> __t(__x);
813 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator+(const complex<_Tp…
818 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator-(const complex<_Tp…
819 return complex<_Tp>(-__x.real(), -__x.imag());
824 operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) {
829 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const complex<_Tp>& __x,…
836 …E_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const _Tp& __x, const complex<_Tp>& __y) {
842 operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) {
847 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const complex<_Tp>& __x,…
852 …E_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const _Tp& __x, const complex<_Tp>& __y) {
867 typedef complex<double> _ComplexType;
874 typedef complex<_Tp> _ComplexType;
880 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp real(const complex<_Tp>& __c) {
893 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp imag(const complex<_Tp>& __c) {
906 inline _LIBCPP_HIDE_FROM_ABI _Tp abs(const complex<_Tp>& __c) {
913 inline _LIBCPP_HIDE_FROM_ABI _Tp arg(const complex<_Tp>& __c) {
935 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 _Tp norm(const complex<_Tp>& __c) {
953 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> conj(const complex<_Tp>& __…
954 return complex<_Tp>(__c.real(), -__c.imag());
967 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> proj(const complex<_Tp>& __c) {
968 complex<_Tp> __r = __c;
970 __r = complex<_Tp>(INFINITY, std::copysign(_Tp(0), __c.imag()));
978 return complex<_Tp>(__re);
990 _LIBCPP_HIDE_FROM_ABI complex<_Tp> polar(const _Tp& __rho, const _Tp& __theta = _Tp()) {
992 return complex<_Tp>(_Tp(NAN), _Tp(NAN));
995 return complex<_Tp>(__rho, __theta);
996 return complex<_Tp>(__theta, __theta);
1000 return complex<_Tp>(__rho, _Tp(NAN));
1001 return complex<_Tp>(_Tp(NAN), _Tp(NAN));
1009 return complex<_Tp>(__x, __y);
1015 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log(const complex<_Tp>& __x) {
1016 return complex<_Tp>(std::log(std::abs(__x)), std::arg(__x));
1022 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log10(const complex<_Tp>& __x) {
1029 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sqrt(const complex<_Tp>& __x) {
1031 return complex<_Tp>(_Tp(INFINITY), __x.imag());
1034 return complex<_Tp>(
1036 return complex<_Tp>(
1045 _LIBCPP_HIDE_FROM_ABI complex<_Tp> exp(const complex<_Tp>& __x) {
1048 return complex<_Tp>(std::exp(__x.real()), std::copysign(_Tp(0), __x.imag()));
1057 return complex<_Tp>(__x.real(), __i);
1061 return complex<_Tp>(__e * std::cos(__i), __e * std::sin(__i));
1067 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> pow(const complex<_Tp>& __x, const complex<_Tp>& __y) {
1072 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type>
1073 pow(const complex<_Tp>& __x, const complex<_Up>& __y) {
1074 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1079 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const complex<_Tp>& __…
1080 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1085 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const _Tp& __x, const …
1086 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1093 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> __sqr(const complex<_Tp>& __x) {
1094 …return complex<_Tp>((__x.real() - __x.imag()) * (__x.real() + __x.imag()), _Tp(2) * __x.real() * _…
1100 _LIBCPP_HIDE_FROM_ABI complex<_Tp> asinh(const complex<_Tp>& __x) {
1106 return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag()));
1107 return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag()));
1111 return complex<_Tp>(__x.imag(), __x.real());
1114 return complex<_Tp>(__x.real(), __x.real());
1117 …return complex<_Tp>(std::copysign(__x.imag(), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()…
1118 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) + _Tp(1)));
1119 return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag()));
1125 _LIBCPP_HIDE_FROM_ABI complex<_Tp> acosh(const complex<_Tp>& __x) {
1129 return complex<_Tp>(std::abs(__x.real()), __x.imag());
1132 return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag()));
1134 return complex<_Tp>(-__x.real(), std::copysign(__pi * _Tp(0.75), __x.imag()));
1137 return complex<_Tp>(-__x.real(), std::copysign(__pi, __x.imag()));
1138 return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag()));
1142 return complex<_Tp>(std::abs(__x.imag()), __x.real());
1143 return complex<_Tp>(__x.real(), __x.real());
1146 return complex<_Tp>(std::abs(__x.imag()), std::copysign(__pi / _Tp(2), __x.imag()));
1147 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1)));
1148 return complex<_Tp>(std::copysign(__z.real(), _Tp(0)), std::copysign(__z.imag(), __x.imag()));
1154 _LIBCPP_HIDE_FROM_ABI complex<_Tp> atanh(const complex<_Tp>& __x) {
1157 … return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()));
1161 return complex<_Tp>(std::copysign(_Tp(0), __x.real()), __x.imag());
1162 return complex<_Tp>(__x.imag(), __x.imag());
1165 return complex<_Tp>(__x.real(), __x.real());
1168 … return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()));
1171 … return complex<_Tp>(std::copysign(_Tp(INFINITY), __x.real()), std::copysign(_Tp(0), __x.imag()));
1173 complex<_Tp> __z = std::log((_Tp(1) + __x) / (_Tp(1) - __x)) / _Tp(2);
1174 return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag()));
1180 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sinh(const complex<_Tp>& __x) {
1182 return complex<_Tp>(__x.real(), _Tp(NAN));
1184 return complex<_Tp>(__x.real(), _Tp(NAN));
1187 …return complex<_Tp>(std::sinh(__x.real()) * std::cos(__x.imag()), std::cosh(__x.real()) * std::sin…
1193 _LIBCPP_HIDE_FROM_ABI complex<_Tp> cosh(const complex<_Tp>& __x) {
1195 return complex<_Tp>(std::abs(__x.real()), _Tp(NAN));
1197 return complex<_Tp>(_Tp(NAN), __x.real());
1199 return complex<_Tp>(_Tp(1), __x.imag());
1201 return complex<_Tp>(std::abs(__x.real()), __x.imag());
1202 …return complex<_Tp>(std::cosh(__x.real()) * std::cos(__x.imag()), std::sinh(__x.real()) * std::sin…
1208 _LIBCPP_HIDE_FROM_ABI complex<_Tp> tanh(const complex<_Tp>& __x) {
1211 return complex<_Tp>(std::copysign(_Tp(1), __x.real()), _Tp(0));
1212 …return complex<_Tp>(std::copysign(_Tp(1), __x.real()), std::copysign(_Tp(0), std::sin(_Tp(2) * __x…
1221 return complex<_Tp>(__2rsh > _Tp(0) ? _Tp(1) : _Tp(-1), __2i > _Tp(0) ? _Tp(0) : _Tp(-0.));
1222 return complex<_Tp>(__2rsh / __d, std::sin(__2i) / __d);
1228 _LIBCPP_HIDE_FROM_ABI complex<_Tp> asin(const complex<_Tp>& __x) {
1229 complex<_Tp> __z = std::asinh(complex<_Tp>(-__x.imag(), __x.real()));
1230 return complex<_Tp>(__z.imag(), -__z.real());
1236 _LIBCPP_HIDE_FROM_ABI complex<_Tp> acos(const complex<_Tp>& __x) {
1240 return complex<_Tp>(__x.imag(), __x.real());
1243 return complex<_Tp>(_Tp(0.75) * __pi, -__x.imag());
1244 return complex<_Tp>(_Tp(0.25) * __pi, -__x.imag());
1247 return complex<_Tp>(__pi, std::signbit(__x.imag()) ? -__x.real() : __x.real());
1248 return complex<_Tp>(_Tp(0), std::signbit(__x.imag()) ? __x.real() : -__x.real());
1252 return complex<_Tp>(__x.real(), -__x.imag());
1253 return complex<_Tp>(__x.real(), __x.real());
1256 return complex<_Tp>(__pi / _Tp(2), -__x.imag());
1258 return complex<_Tp>(__pi / _Tp(2), -__x.imag());
1259 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1)));
1261 return complex<_Tp>(std::abs(__z.imag()), std::abs(__z.real()));
1262 return complex<_Tp>(std::abs(__z.imag()), -std::abs(__z.real()));
1268 _LIBCPP_HIDE_FROM_ABI complex<_Tp> atan(const complex<_Tp>& __x) {
1269 complex<_Tp> __z = std::atanh(complex<_Tp>(-__x.imag(), __x.real()));
1270 return complex<_Tp>(__z.imag(), -__z.real());
1276 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sin(const complex<_Tp>& __x) {
1277 complex<_Tp> __z = std::sinh(complex<_Tp>(-__x.imag(), __x.real()));
1278 return complex<_Tp>(__z.imag(), -__z.real());
1284 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> cos(const complex<_Tp>& __x) {
1285 return std::cosh(complex<_Tp>(-__x.imag(), __x.real()));
1291 _LIBCPP_HIDE_FROM_ABI complex<_Tp> tan(const complex<_Tp>& __x) {
1292 complex<_Tp> __z = std::tanh(complex<_Tp>(-__x.imag(), __x.real()));
1293 return complex<_Tp>(__z.imag(), -__z.real());
1299 operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x) {
1318 __x = complex<_Tp>(__r, __i);
1325 __x = complex<_Tp>(__r, _Tp(0));
1334 __x = complex<_Tp>(__r, _Tp(0));
1345 operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x) {
1356 // Literal suffix for complex number literals [complex.literals]
1359 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(long double __im) { return…
1361 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(unsigned long long __im) {
1365 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(long double __im) {
1369 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(unsigned long long __im) {
1373 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(long double __im) {
1377 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(unsigned long long __im) {