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Showing content from https://en.cppreference.com/w/cpp/language/../algorithm/../language/../header/complex.html below:

Standard library header <complex> - cppreference.com

This header is part of the numeric library.

[edit] Classes a complex number type
(class template) [edit] Functions [edit] Synopsis 
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>&);
 
    // tuple interface:
    template<class T> struct tuple_size;
    template<size_t I, class T> struct tuple_element;
    template<class T> struct tuple_size<complex<T>>;
    template<size_t I, class T> struct tuple_element<I, complex<T>>;
    template<size_t I, class T>
      constexpr T& get(complex<T>&) noexcept;
    template<size_t I, class T>
      constexpr T&& get(complex<T>&&) noexcept;
    template<size_t I, class T>
      constexpr const T& get(const complex<T>&) noexcept;
    template<size_t I, class T>
      constexpr const T&& get(const complex<T>&&) noexcept;
 
    // 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);
        }
    }
}
[edit] Class 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>&);
};
[edit] Defect reports

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

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