This header is part of the numeric library.
| a complex number type (class template) |
Operations |
|
| applies unary operators to complex numbers (function template) |
|
| performs complex number arithmetic on two complex values or a complex and a scalar (function template) |
|
|
(removed in C++20) | compares two complex numbers or a complex and a scalar (function template) |
| serializes and deserializes a complex number (function template) |
|
| returns the real part (function template) |
|
| returns the imaginary part (function template) |
|
| returns the magnitude of a complex number (function template) |
|
| returns the phase angle (function template) |
|
| returns the squared magnitude (function template) |
|
| returns the complex conjugate (function template) |
|
|
(C++11) | returns the projection onto the Riemann sphere (function template) |
| constructs a complex number from magnitude and phase angle (function template) |
|
Exponential functions |
|
| complex base e exponential (function template) |
|
| complex natural logarithm with the branch cuts along the negative real axis (function template) |
|
| complex common logarithm with the branch cuts along the negative real axis (function template) |
|
Power functions |
|
| complex power, one or both arguments may be a complex number (function template) |
|
| complex square root in the range of the right half-plane (function template) |
|
Trigonometric functions |
|
| computes sine of a complex number (\({\small\sin{z} }\)sin(z)) (function template) |
|
| computes cosine of a complex number (\({\small\cos{z} }\)cos(z)) (function template) |
|
| computes tangent of a complex number (\({\small\tan{z} }\)tan(z)) (function template) |
|
|
(C++11) | computes arc sine of a complex number (\({\small\arcsin{z} }\)arcsin(z)) (function template) |
|
(C++11) | computes arc cosine of a complex number (\({\small\arccos{z} }\)arccos(z)) (function template) |
|
(C++11) | computes arc tangent of a complex number (\({\small\arctan{z} }\)arctan(z)) (function template) |
Hyperbolic functions |
|
| computes hyperbolic sine of a complex number (\({\small\sinh{z} }\)sinh(z)) (function template) |
|
| computes hyperbolic cosine of a complex number (\({\small\cosh{z} }\)cosh(z)) (function template) |
|
| computes hyperbolic tangent of a complex number (\({\small\tanh{z} }\)tanh(z)) (function template) |
|
|
(C++11) | computes area hyperbolic sine of a complex number (\({\small\operatorname{arsinh}{z} }\)arsinh(z)) (function template) |
|
(C++11) | computes area hyperbolic cosine of a complex number (\({\small\operatorname{arcosh}{z} }\)arcosh(z)) (function template) |
|
(C++11) | computes area hyperbolic tangent of a complex number (\({\small\operatorname{artanh}{z} }\)artanh(z)) (function template) |
Literals |
|
|
(C++14) | a std::complex literal representing purely imaginary number (function) |
namespace std {
template<class T> class complex;
template<> class complex<float>;
template<> class complex<double>;
template<> class complex<long double>;
// operators:
template<class T> constexpr complex<T> operator+(
const complex<T>&, const complex<T>&);
template<class T> constexpr complex<T> operator+(const complex<T>&, const T&);
template<class T> constexpr complex<T> operator+(const T&, const complex<T>&);
template<class T> constexpr complex<T> operator-(
const complex<T>&, const complex<T>&);
template<class T> constexpr complex<T> operator-(const complex<T>&, const T&);
template<class T> constexpr complex<T> operator-(const T&, const complex<T>&);
template<class T> constexpr complex<T> operator*(
const complex<T>&, const complex<T>&);
template<class T> constexpr complex<T> operator*(const complex<T>&, const T&);
template<class T> constexpr complex<T> operator*(const T&, const complex<T>&);
template<class T> constexpr complex<T> operator/(
const complex<T>&, const complex<T>&);
template<class T> constexpr complex<T> operator/(const complex<T>&, const T&);
template<class T> constexpr complex<T> operator/(const T&, const complex<T>&);
template<class T> constexpr complex<T> operator+(const complex<T>&);
template<class T> constexpr complex<T> operator-(const complex<T>&);
template<class T> constexpr bool operator==
const complex<T>&, const complex<T>&);
template<class T> constexpr bool operator==(const complex<T>&, const T&);
template<class T> constexpr bool operator==(const T&, const complex<T>&);
template<class T> constexpr bool operator!=(const complex<T>&, const complex<T>&);
template<class T> constexpr bool operator!=(const complex<T>&, const T&);
template<class T> constexpr bool operator!=(const T&, const complex<T>&);
template<class T, class CharT, class Traits>
basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>&, complex<T>&);
template<class T, class CharT, class Traits>
basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>&, const complex<T>&);
// values:
template<class T> constexpr T real(const complex<T>&);
template<class T> constexpr T imag(const complex<T>&);
template<class T> T abs(const complex<T>&);
template<class T> T arg(const complex<T>&);
template<class T> constexpr T norm(const complex<T>&);
template<class T> constexpr complex<T> conj(const complex<T>&);
template<class T> complex<T> proj(const complex<T>&);
template<class T> complex<T> polar(const T&, const T& = 0);
// transcendentals:
template<class T> complex<T> acos(const complex<T>&);
template<class T> complex<T> asin(const complex<T>&);
template<class T> complex<T> atan(const complex<T>&);
template<class T> complex<T> acosh(const complex<T>&);
template<class T> complex<T> asinh(const complex<T>&);
template<class T> complex<T> atanh(const complex<T>&);
template<class T> complex<T> cos (const complex<T>&);
template<class T> complex<T> cosh (const complex<T>&);
template<class T> complex<T> exp (const complex<T>&);
template<class T> complex<T> log (const complex<T>&);
template<class T> complex<T> log10(const complex<T>&);
template<class T> complex<T> pow(const complex<T>&, const T&);
template<class T> complex<T> pow(const complex<T>&, const complex<T>&);
template<class T> complex<T> pow(const T&, const complex<T>&);
template<class T> complex<T> sin (const complex<T>&);
template<class T> complex<T> sinh(const complex<T>&);
template<class T> complex<T> sqrt(const complex<T>&);
template<class T> complex<T> tan (const complex<T>&);
template<class T> complex<T> tanh(const complex<T>&);
// complex literals:
inline namespace literals {
inline namespace complex_literals {
constexpr complex<long double> operator""il(long double);
constexpr complex<long double> operator""il(unsigned long long);
constexpr complex<double> operator""i(long double);
constexpr complex<double> operator""i(unsigned long long);
constexpr complex<float> operator""if(long double);
constexpr complex<float> operator""if(unsigned long long);
}
}
}std::complex
template<class T>
class complex {
public:
typedef T value_type;
constexpr complex(const T& re = T(), const T& im = T());
constexpr complex(const complex&) = default;
template<class X> constexpr explicit(/* see constructor page */)
complex(const complex<X>&);
constexpr T real() const;
constexpr void real(T);
constexpr T imag() const;
constexpr void imag(T);
constexpr complex<T>& operator= (const T&);
constexpr complex<T>& operator+=(const T&);
constexpr complex<T>& operator-=(const T&);
constexpr complex<T>& operator*=(const T&);
constexpr complex<T>& operator/=(const T&);
constexpr complex& operator=(const complex&);
template<class X> constexpr complex<T>& operator= (const complex<X>&);
template<class X> constexpr complex<T>& operator+=(const complex<X>&);
template<class X> constexpr complex<T>& operator-=(const complex<X>&);
template<class X> constexpr complex<T>& operator*=(const complex<X>&);
template<class X> constexpr complex<T>& operator/=(const complex<X>&);
};The following behavior-changing defect reports were applied retroactively to previously published C++ standards.
| DR | Applied to | Behavior as published | Correct behavior |
|---|---|---|---|
| LWG 79 | C++98 | the default argument of the second parameter of polar was missing in the synopsis | added |
© cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
https://en.cppreference.com/w/cpp/header/complex