[complex.syn]

# 29 Numerics library [[numerics]](./#numerics)

## 29.4 Complex numbers [[complex.numbers]](complex.numbers#complex.syn)

### 29.4.2 Header <complex> synopsis [complex.syn]

[🔗](#header:%3ccomplex%3e)

namespace std {// [[complex]](complex "29.4.3 Class template complex"), class template complextemplate<class T> class complex; // [[complex.ops]](complex.ops "29.4.6 Non-member operations"), operatorstemplate<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, 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>&); // [[complex.value.ops]](complex.value.ops "29.4.7 Value operations"), valuestemplate<class T> constexpr T real(const complex<T>&); template<class T> constexpr T imag(const complex<T>&); template<class T> constexpr T abs(const complex<T>&); template<class T> constexpr 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> constexpr complex<T> proj(const complex<T>&); template<class T> constexpr complex<T> polar(const T&, const T& = T()); // [[complex.transcendentals]](complex.transcendentals "29.4.8 Transcendentals"), transcendentalstemplate<class T> constexpr complex<T> acos(const complex<T>&); template<class T> constexpr complex<T> asin(const complex<T>&); template<class T> constexpr complex<T> atan(const complex<T>&); template<class T> constexpr complex<T> acosh(const complex<T>&); template<class T> constexpr complex<T> asinh(const complex<T>&); template<class T> constexpr complex<T> atanh(const complex<T>&); template<class T> constexpr complex<T> cos (const complex<T>&); template<class T> constexpr complex<T> cosh (const complex<T>&); template<class T> constexpr complex<T> exp (const complex<T>&); template<class T> constexpr complex<T> log (const complex<T>&); template<class T> constexpr complex<T> log10(const complex<T>&); template<class T> constexpr complex<T> pow (const complex<T>&, const T&); template<class T> constexpr complex<T> pow (const complex<T>&, const complex<T>&); template<class T> constexpr complex<T> pow (const T&, const complex<T>&); template<class T> constexpr complex<T> sin (const complex<T>&); template<class T> constexpr complex<T> sinh (const complex<T>&); template<class T> constexpr complex<T> sqrt (const complex<T>&); template<class T> constexpr complex<T> tan (const complex<T>&); template<class T> constexpr complex<T> tanh (const complex<T>&); // [[complex.tuple]](complex.tuple "29.4.9 Tuple interface"), tuple interfacetemplate<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]](complex.literals "29.4.11 Suffixes for complex number literals"), complex literalsinline 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); }}}