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{{cpp/title|complex}}
{{cpp/numeric/complex/navbar}}
{{dcl begin}}
{{dcl header | complex}}
{{dcl | num=1 | 1=
template< class T >
class complex; //not defined
}}
{{dcl | num=2| 1=
template<> class complex<float>;
}}
{{dcl | num=3| 1=
template<> class complex<double>;
}}
{{dcl | num=4| 1=
template<> class complex<long double>;
}}
{{dcl end}}

The specializations {{c|std::complex<float>}}, {{c|std::complex<double>}}, and {{c|std::complex<long double>}} are literal types for representing and manipulating [[enwiki:Complex_number|complex numbers]]. 

The effect of instantiating the template {{tt|complex}} for any other type is unspecified.

===Member types===
{{dsc begin}}
{{dsc hitem | Member type | Definition}}
{{dsc | {{tt|value_type}} | {{tt|T}}}}
{{dsc end}}

===Member functions===
{{dsc begin}}
{{dsc mem ctor | cpp/numeric/complex/complex | constructs a complex number }}
{{dsc inc | cpp/numeric/complex/dsc operator{{=}}}}
{{dsc inc | cpp/numeric/complex/dsc real}}
{{dsc inc | cpp/numeric/complex/dsc imag}}
{{dsc inc | cpp/numeric/complex/dsc operator_arith}}
{{dsc end}}

===Non-member functions===
{{dsc begin}}
{{dsc inc | cpp/numeric/complex/dsc operator_arith2}}
{{dsc inc | cpp/numeric/complex/dsc operator_arith3}}
{{dsc inc | cpp/numeric/complex/dsc operator_cmp}}
{{dsc inc | cpp/numeric/complex/dsc operator_ltltgtgt}}
{{dsc inc | cpp/numeric/complex/dsc real2}}
{{dsc inc | cpp/numeric/complex/dsc imag2}}
{{dsc inc | cpp/numeric/complex/dsc abs}}
{{dsc inc | cpp/numeric/complex/dsc arg}}
{{dsc inc | cpp/numeric/complex/dsc norm}}
{{dsc inc | cpp/numeric/complex/dsc conj}}
{{dsc inc | cpp/numeric/complex/dsc proj}}
{{dsc inc | cpp/numeric/complex/dsc polar}}

{{dsc h2 | Exponential functions}}
{{dsc inc | cpp/numeric/complex/dsc exp}}
{{dsc inc | cpp/numeric/complex/dsc log}}
{{dsc inc | cpp/numeric/complex/dsc log10}}

{{dsc h2 | Power functions}}
{{dsc inc | cpp/numeric/complex/dsc pow}}
{{dsc inc | cpp/numeric/complex/dsc sqrt}}

{{dsc h2 | Trigonometric functions}}
{{dsc inc | cpp/numeric/complex/dsc sin}}
{{dsc inc | cpp/numeric/complex/dsc cos}}
{{dsc inc | cpp/numeric/complex/dsc tan}}
{{dsc inc | cpp/numeric/complex/dsc asin}}
{{dsc inc | cpp/numeric/complex/dsc acos}}
{{dsc inc | cpp/numeric/complex/dsc atan}}

{{dsc h2 | Hyperbolic functions}}
{{dsc inc | cpp/numeric/complex/dsc sinh}}
{{dsc inc | cpp/numeric/complex/dsc cosh}}
{{dsc inc | cpp/numeric/complex/dsc tanh}}
{{dsc inc | cpp/numeric/complex/dsc asinh}}
{{dsc inc | cpp/numeric/complex/dsc acosh}}
{{dsc inc | cpp/numeric/complex/dsc atanh}}
{{dsc end}}

===Non-static data members===
For any complex number {{tt|z}}, {{c|reinterpret_cast<T(&)[2]>(z)[0]}} is the real part of z and {{c|reinterpret_cast<T(&)[2]>(z)[1]}} is the imaginary part of z.

For any pointer to an element of an array of complex numbers {{tt|p}} and any valid array index {{c|i}}, {{c|reinterpret_cast<T*>(p)[2*i]}} is the real part of the complex number {{c|p[i]}}, and {{c|reinterpret_cast<T*>(p)[2*i + 1]}} is the imaginary part of the complex number {{c|p[i]}}

These requirements essentially limit implementation of each of the three specializations of {{lc|std::complex}} to declaring two and only two non-static data members, of type {{tt|value_type}}, with the same member access, which hold the real and the imaginary components, respectively.

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