<complex>

Library:  Numerics

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The header <complex> is part of the Numerics library of the C++ Standard Library. It defines the class template complex, the specializations of the class template complex on types float, double, and long double, and a number of functions for representing and manipulating complex numbers.

namespace std {
  template<class T> class complex;
  template<> class complex<float>;
  template<> class complex<double>;
  template<> class complex<long double>;

  template<class T>
  complex<T> operator+(const complex<T>&, const complex<T>&);
  template<class T> complex<T> operator+(const complex<T>&,
                                         const T&);
  template<class T> complex<T> operator+(const T&, 
                                         const complex<T>&);

  template<class T> complex<T>
  operator-(const complex<T>&, const complex<T>&);
  template<class T> complex<T> operator-(const complex<T>&,
                                       const T&);
  template<class T> complex<T> operator-(const T&, 
                                         const complex<T>&);

  template<class T> complex<T>
  operator*(const complex<T>&, const complex<T>&);
  template<class T> complex<T> operator*(const complex<T>&,
                                         const T&);
  template<class T> complex<T> operator*(const T&, 
                                         const complex<T>&);

  template<class T> complex<T>
  operator/(const complex<T>&, const complex<T>&);
  template<class T> complex<T> operator/(const complex<T>&,
                                         const T&);
  template<class T> complex<T> operator/(const T&, 
                                         const complex<T>&);

  template<class T> complex<T> operator+(const complex<T>&);
  template<class T> complex<T> operator-(const complex<T>&);

  template<class T> bool
  operator==(const complex<T>&, const complex<T>&);
  template<class T> bool operator==(const complex<T>&, 
                                    const T&);
  template<class T> bool operator==(const T&, 
                                    const complex<T>&);

  template<class T> bool operator!=(const complex<T>&, 
                                    const complex<T>&);
  template<class T> bool operator!=(const complex<T>&, 
                                    const T&);
  template<class T> 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>&);

  template<class T> T real(const complex<T>&);
  template<class T> T imag(const complex<T>&);

  template<class T> T abs(const complex<T>&);
  template<class T> T arg(const complex<T>&);
  template<class T> T norm(const complex<T>&);

  template<class T> complex<T> conj(const complex<T>&);
  template<class T> complex<T> polar(const T&, const 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>&, int);
  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

ISO/IEC 14882:1998 -- International Standard for Information Systems --Programming Language C++, Section 26.2