Collaboration diagram for Complex Numbers:

Classes
struct	std::complex< _Tp >

struct	std::complex< double >

struct	std::complex< float >

struct	std::complex< long double >

Functions
constexpr	std::complex< float >::complex (const complex< double > &)

constexpr	std::complex< float >::complex (const complex< long double > &)

constexpr	std::complex< double >::complex (const complex< long double > &)

template<typename _Tp >
_Tp	std::__complex_abs (const complex< _Tp > &__z)

template<typename _Tp >
std::complex< _Tp >	std::tr1::__complex_acosh (const std::complex< _Tp > &__z)

template<typename _Tp >
_Tp	std::__complex_arg (const complex< _Tp > &__z)

template<typename _Tp >
std::complex< _Tp >	std::tr1::__complex_asinh (const std::complex< _Tp > &__z)

template<typename _Tp >
std::complex< _Tp >	std::tr1::__complex_atanh (const std::complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_cos (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_cosh (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_exp (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_log (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_pow (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::__complex_sin (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_sinh (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_sqrt (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_tan (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::__complex_tanh (const complex< _Tp > &__z)

template<typename _Tp >
_Tp	std::abs (const complex< _Tp > &)

template<typename _Tp >
std::complex< _Tp >	std::tr1::acosh (const std::complex< _Tp > &__z)

template<typename _Tp >
_Tp	std::arg (const complex< _Tp > &)

template<typename _Tp >
std::complex< _Tp >	std::tr1::asinh (const std::complex< _Tp > &__z)

template<typename _Tp >
std::complex< _Tp >	std::tr1::atanh (const std::complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::conj (const complex< _Tp > &)

template<typename _Tp >
std::complex< _Tp >	std::tr1::conj (const std::complex< _Tp > &__z)

template<typename _Tp >
std::complex< typename __gnu_cxx::__promote< _Tp > ::__type >	std::tr1::conj (_Tp __x)

template<typename _Tp >
complex< _Tp >	std::cos (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::cosh (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::exp (const complex< _Tp > &)

template<typename _Tp >
std::complex< _Tp >	std::tr1::fabs (const std::complex< _Tp > &__z)

template<typename _Tp >
constexpr _Tp	std::imag (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::log (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::log10 (const complex< _Tp > &)

template<typename _Tp >
_Tp	std::norm (const complex< _Tp > &)

complex< _Tp > &	std::complex< _Tp >::operator*= (const _Tp &)

template<typename _Up >
complex< _Tp > &	std::complex< _Tp >::operator*= (const complex< _Up > &)

template<typename _Tp >
complex< _Tp >	std::operator+ (const complex< _Tp > &__x)

template<typename _Up >
complex< _Tp > &	std::complex< _Tp >::operator+= (const complex< _Up > &)

template<typename _Tp >
complex< _Tp >	std::operator- (const complex< _Tp > &__x)

template<typename _Up >
complex< _Tp > &	std::complex< _Tp >::operator-= (const complex< _Up > &)

complex< _Tp > &	std::complex< _Tp >::operator/= (const _Tp &)

template<typename _Up >
complex< _Tp > &	std::complex< _Tp >::operator/= (const complex< _Up > &)

template<typename _Tp , typename _CharT , class _Traits >
basic_ostream< _CharT, _Traits > &	std::operator<< (basic_ostream< _CharT, _Traits > &__os, const complex< _Tp > &__x)

complex< _Tp > &	std::complex< _Tp >::operator= (const _Tp &)

template<typename _Up >
complex< _Tp > &	std::complex< _Tp >::operator= (const complex< _Up > &)

template<typename _Tp , typename _CharT , class _Traits >
basic_istream< _CharT, _Traits > &	std::operator>> (basic_istream< _CharT, _Traits > &__is, complex< _Tp > &__x)

template<typename _Tp >
complex< _Tp >	std::polar (const _Tp &, const _Tp &=0)

template<typename _Tp , typename _Up >
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type >	std::tr1::polar (const _Tp &__rho, const _Up &__theta)

template<typename _Tp >
complex< _Tp >	std::pow (const complex< _Tp > &, const _Tp &)

template<typename _Tp >
complex< _Tp >	std::pow (const complex< _Tp > &, const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::pow (const _Tp &, const complex< _Tp > &)

template<typename _Tp , typename _Up >
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type >	std::tr1::pow (const std::complex< _Tp > &__x, const _Up &__y)

template<typename _Tp , typename _Up >
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type >	std::tr1::pow (const _Tp &__x, const std::complex< _Up > &__y)

template<typename _Tp , typename _Up >
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type >	std::tr1::pow (const std::complex< _Tp > &__x, const std::complex< _Up > &__y)

template<typename _Tp >
std::complex< _Tp >	std::tr1::pow (const std::complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
std::complex< _Tp >	std::tr1::pow (const _Tp &__x, const std::complex< _Tp > &__y)

template<typename _Tp >
std::complex< _Tp >	std::tr1::pow (const std::complex< _Tp > &__x, const std::complex< _Tp > &__y)

template<typename _Tp >
constexpr _Tp	std::real (const complex< _Tp > &__z)

template<typename _Tp >
complex< _Tp >	std::sin (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::sinh (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::sqrt (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::tan (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::tanh (const complex< _Tp > &)

template<typename _Tp >
complex< _Tp >	std::operator+ (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator+ (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
complex< _Tp >	std::operator+ (const _Tp &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator- (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator- (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
complex< _Tp >	std::operator- (const _Tp &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator* (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator* (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
complex< _Tp >	std::operator* (const _Tp &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator/ (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
complex< _Tp >	std::operator/ (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
complex< _Tp >	std::operator/ (const _Tp &__x, const complex< _Tp > &__y)

template<typename _Tp >
constexpr bool	std::operator== (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
constexpr bool	std::operator== (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
constexpr bool	std::operator== (const _Tp &__x, const complex< _Tp > &__y)

template<typename _Tp >
constexpr bool	std::operator!= (const complex< _Tp > &__x, const complex< _Tp > &__y)

template<typename _Tp >
constexpr bool	std::operator!= (const complex< _Tp > &__x, const _Tp &__y)

template<typename _Tp >
constexpr bool	std::operator!= (const _Tp &__x, const complex< _Tp > &__y)

Detailed Description

Classes and functions for complex numbers.

Function Documentation

template<typename _Tp >

_Tp std::abs ( const complex< _Tp > & __z )

inline

Return magnitude of z.

Definition at line 594 of file complex.

Referenced by std::tr1::fabs(), std::fabs(), std::poisson_distribution< _IntType >::operator()(), and std::binomial_distribution< _IntType >::operator()().

template<typename _Tp >

std::complex< _Tp > std::tr1::acosh ( const std::complex< _Tp > & __z )

inline

acosh(__z) [8.1.5].

Definition at line 216 of file tr1/complex.

template<typename _Tp >

_Tp std::arg ( const complex< _Tp > & __z )

inline

Return phase angle of z.

Definition at line 621 of file complex.

Referenced by std::arg().

template<typename _Tp >

std::complex< _Tp > std::tr1::asinh ( const std::complex< _Tp > & __z )

inline

asinh(__z) [8.1.6].

Definition at line 255 of file tr1/complex.

template<typename _Tp >

std::complex< _Tp > std::tr1::atanh ( const std::complex< _Tp > & __z )

inline

atanh(__z) [8.1.7].

Definition at line 299 of file tr1/complex.

template<typename _Tp >

complex< _Tp > std::conj ( const complex< _Tp > & __z )

inline

Return complex conjugate of z.

Definition at line 667 of file complex.

template<typename _Tp >

complex< _Tp > std::cos ( const complex< _Tp > & __z )

inline

Return complex cosine of z.

Definition at line 699 of file complex.

Referenced by std::polar().

template<typename _Tp >

complex< _Tp > std::cosh ( const complex< _Tp > & __z )

inline

Return complex hyperbolic cosine of z.

Definition at line 729 of file complex.

template<typename _Tp >

complex< _Tp > std::exp ( const complex< _Tp > & __z )

inline

Return complex base e exponential of z.

Definition at line 755 of file complex.

Referenced by std::pow().

template<typename _Tp >

std::complex< _Tp > std::tr1::fabs ( const std::complex< _Tp > & __z )

inline

fabs(__z) [8.1.8].

Definition at line 308 of file tr1/complex.

References std::abs().

template<typename _Tp >

complex< _Tp > std::log ( const complex< _Tp > & __z )

inline

Return complex natural logarithm of z.

Definition at line 782 of file complex.

Referenced by std::generate_canonical(), std::log10(), std::poisson_distribution< _IntType >::operator()(), std::binomial_distribution< _IntType >::operator()(), std::normal_distribution< _RealType >::operator()(), std::gamma_distribution< _RealType >::operator()(), and std::pow().

template<typename _Tp >

complex< _Tp > std::log10 ( const complex< _Tp > & __z )

inline

Return complex base 10 logarithm of z.

Definition at line 787 of file complex.

References std::log().

template<typename _Tp >

_Tp std::norm ( const complex< _Tp > & __z )

inline

Return z magnitude squared.

Definition at line 654 of file complex.

Referenced by std::complex< _Tp >::operator/=().

template<typename _Tp >

constexpr bool std::operator!=	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return false if x is equal to y.

Definition at line 469 of file complex.

template<typename _Tp >

constexpr bool std::operator!=	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return false if x is equal to y.

Definition at line 474 of file complex.

template<typename _Tp >

constexpr bool std::operator!=	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return false if x is equal to y.

Definition at line 479 of file complex.

template<typename _Tp >

complex<_Tp> std::operator*	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x times y.

Definition at line 379 of file complex.

template<typename _Tp >

complex<_Tp> std::operator*	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return new complex value x times y.

Definition at line 388 of file complex.

template<typename _Tp >

complex<_Tp> std::operator*	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x times y.

Definition at line 397 of file complex.

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator*= ( const _Tp & __t )

Multiply this complex number by t.

Definition at line 238 of file complex.

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator*= ( const complex< _Up > & __z )

Multiply this complex number by z.

Definition at line 292 of file complex.

template<typename _Tp >

complex<_Tp> std::operator+	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x plus y.

Definition at line 319 of file complex.

template<typename _Tp >

complex<_Tp> std::operator+	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return new complex value x plus y.

Definition at line 328 of file complex.

template<typename _Tp >

complex<_Tp> std::operator+	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x plus y.

Definition at line 337 of file complex.

template<typename _Tp >

complex<_Tp> std::operator+ ( const complex< _Tp > & __x )

inline

Return x.

Definition at line 438 of file complex.

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator+= ( const complex< _Up > & __z )

Add z to this complex number.

Definition at line 269 of file complex.

template<typename _Tp >

complex<_Tp> std::operator-	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x minus y.

Definition at line 349 of file complex.

template<typename _Tp >

complex<_Tp> std::operator-	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return new complex value x minus y.

Definition at line 358 of file complex.

template<typename _Tp >

complex<_Tp> std::operator-	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x minus y.

Definition at line 367 of file complex.

template<typename _Tp >

complex<_Tp> std::operator- ( const complex< _Tp > & __x )

inline

Return complex negation of x.

Definition at line 444 of file complex.

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator-= ( const complex< _Up > & __z )

Subtract z from this complex number.

Definition at line 280 of file complex.

template<typename _Tp >

complex<_Tp> std::operator/	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x divided by y.

Definition at line 409 of file complex.

template<typename _Tp >

complex<_Tp> std::operator/	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return new complex value x divided by y.

Definition at line 418 of file complex.

template<typename _Tp >

complex<_Tp> std::operator/	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return new complex value x divided by y.

Definition at line 427 of file complex.

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator/= ( const _Tp & __t )

Divide this complex number by t.

Definition at line 248 of file complex.

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator/= ( const complex< _Up > & __z )

Divide this complex number by z.

Definition at line 305 of file complex.

References std::norm().

template<typename _Tp , typename _CharT , class _Traits >

basic_ostream<_CharT, _Traits>& std::operator<<	(	basic_ostream< _CharT, _Traits > &	__os,
		const complex< _Tp > &	__x
	)

Insertion operator for complex values.

Definition at line 519 of file complex.

References std::ios_base::flags(), std::basic_ios< _CharT, _Traits >::imbue(), std::ios_base::precision(), and std::basic_ostringstream< _CharT, _Traits, _Alloc >::str().

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator= ( const _Tp & __t )

Assign this complex number to scalar t.

Definition at line 228 of file complex.

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator= ( const complex< _Up > & __z )

Assign this complex number to complex z.

Definition at line 258 of file complex.

template<typename _Tp >

constexpr bool std::operator==	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return true if x is equal to y.

Definition at line 451 of file complex.

template<typename _Tp >

constexpr bool std::operator==	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

inline

Return true if x is equal to y.

Definition at line 456 of file complex.

template<typename _Tp >

constexpr bool std::operator==	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return true if x is equal to y.

Definition at line 461 of file complex.

template<typename _Tp , typename _CharT , class _Traits >

basic_istream<_CharT, _Traits>& std::operator>>	(	basic_istream< _CharT, _Traits > &	__is,
		complex< _Tp > &	__x
	)

Extraction operator for complex values.

Definition at line 486 of file complex.

References std::ios_base::failbit, std::basic_istream< _CharT, _Traits >::putback(), and std::basic_ios< _CharT, _Traits >::setstate().

template<typename _Tp >

complex< _Tp > std::polar	(	const _Tp &	__rho,
		const _Tp &	__theta = `0`
	)

inline

Return complex with magnitude rho and angle theta.

Definition at line 662 of file complex.

References std::cos(), and std::sin().

Referenced by std::pow().

template<typename _Tp >

complex< _Tp > std::pow	(	const complex< _Tp > &	__x,
		const _Tp &	__y
	)

Return x to the y'th power.

Definition at line 984 of file complex.

References std::exp(), std::log(), and std::polar().

Referenced by std::gamma_distribution< _RealType >::operator()(), std::pow(), and std::tr1::pow().

template<typename _Tp >

complex< _Tp > std::pow	(	const complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)

inline

Return x to the y'th power.

Definition at line 1023 of file complex.

template<typename _Tp >

complex< _Tp > std::pow	(	const _Tp &	__x,
		const complex< _Tp > &	__y
	)

inline

Return x to the y'th power.

Definition at line 1029 of file complex.

References std::log(), std::polar(), and std::pow().

template<typename _Tp , typename _Up >

std::complex<typename __gnu_cxx::__promote_2<_Tp, _Up>::__type> std::tr1::pow	(	const std::complex< _Tp > &	__x,
		const _Up &	__y
	)

inline

Additional overloads [8.1.9].

Definition at line 349 of file tr1/complex.

References std::pow().

template<typename _Tp >

complex< _Tp > std::sin ( const complex< _Tp > & __z )

inline

Return complex sine of z.

Definition at line 817 of file complex.

Referenced by std::polar().

template<typename _Tp >

complex< _Tp > std::sinh ( const complex< _Tp > & __z )

inline

Return complex hyperbolic sine of z.

Definition at line 847 of file complex.

template<typename _Tp >

complex< _Tp > std::sqrt ( const complex< _Tp > & __z )

inline

Return complex square root of z.

Definition at line 891 of file complex.

Referenced by std::normal_distribution< _RealType >::operator()(), and std::student_t_distribution< _RealType >::operator()().

template<typename _Tp >

complex< _Tp > std::tan ( const complex< _Tp > & __z )

inline

Return complex tangent of z.

Definition at line 918 of file complex.

template<typename _Tp >

complex< _Tp > std::tanh ( const complex< _Tp > & __z )

inline

Return complex hyperbolic tangent of z.

Definition at line 946 of file complex.

Classes

Functions

Detailed Description

Function Documentation