std::complex

 

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Complex numbers

Member functions
complex::complex
complex::operator=
complex::real
complex::imag
complex::operator+= complex::operator-= complex::operator*= complex::operator/=
Non-member functions
operator== operator!=
operator<< operator>>
real
imag
abs
arg
norm
conj
proj (C++11)
polar
Exponential functions
exp
log
log10
Power functions
pow
sqrt
Trigonometric functions
sin cos tan	asin (C++11) acos (C++11) atan (C++11)
Hyperbolic functions
sinh cosh tanh	asinh (C++11) acosh (C++11) atanh (C++11)

 

Defined in header <complex>
template< class T > class complex; //not defined	(1)
template<> class complex<float>;	(2)
template<> class complex<double>;	(3)
template<> class complex<long double>;	(4)

The specializations std::complex<float>, std::complex<double>, and std::complex<long double> are literal types for representing and manipulating complex numbers.

The effect of instantiating the template complex for any other type is unspecified.

Member types

Member type	Definition
value_type	T

Member functions

(constructor)	constructs a complex number (public member function)
operator=	assigns the contents (public member function)
real	accesses the real part of the complex number (public member function)
imag	accesses the imaginary part of the complex number (public member function)
operator+= operator-= operator/= operator*=	compound assignment of two complex numbers or a complex and a scalar (public member function)

Non-member functions

operator+ operator-	applies unary operators to complex numbers (function template)
operator+ operator- operator* operator/	performs complex number arithmetics on two complex values or a complex and a scalar (function template)
operator== operator!=	compares two complex numbers or a complex and a scalar (function template)
operator<< operator>>	serializes and deserializes a complex number (function template)
real	returns the real component (function template)
imag	returns the imaginary component (function template)
abs(std::complex)	returns the magnitude of a complex number (function template)
arg	returns the phase angle (function template)
norm	returns the squared magnitude (function template)
conj	returns the complex conjugate (function template)
proj (C++11)	returns the projection onto the Riemann sphere (function template)
polar	constructs a complex number from magnitude and phase angle (function template)
Exponential functions
exp(std::complex)	complex base e exponential (function template)
log(std::complex)	complex natural logarithm with the branch cuts along the negative real axis (function template)
log10(std::complex)	complex common logarithm with the branch cuts along the negative real axis (function template)
Power functions
pow(std::complex)	complex power, one or both arguments may be a complex number (function template)
sqrt(std::complex)	complex square root in the range of the right half-plane (function template)
Trigonometric functions
sin(std::complex)	computes sine of a complex number (sin(z)) (function template)
cos(std::complex)	computes cosine of a complex number (cos(z)) (function template)
tan(std::complex)	computes tangent of a complex number (tan(z)) (function template)
asin(std::complex) (C++11)	computes arc sine of a complex number (arcsin(z)) (function template)
acos(std::complex) (C++11)	computes arc cosine of a complex number (arccos(z)) (function template)
atan(std::complex) (C++11)	computes arc tangent of a complex number (arctan(z)) (function template)
Hyperbolic functions
sinh(std::complex)	computes hyperbolic sine of a complex number (sh(z)) (function template)
cosh(std::complex)	computes hyperbolic cosine of a complex number (ch(z)) (function template)
tanh(std::complex)	computes hyperbolic tangent of a complex number (function template)
asinh(std::complex) (C++11)	computes hyperbolic arc sine of a complex number (function template)
acosh(std::complex) (C++11)	computes hyperbolic arc cosine of a complex number (function template)
atanh(std::complex) (C++11)	computes hyperbolic arc tangent of a complex number (function template)