Collaboration diagram for Complex Numbers:

Classes
class	std::complex< _Tp >

class	std::complex< double >

class	std::complex< float >

class	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 >
_Tp	std::__complex_arg (const 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_pow_unsigned (complex< _Tp > __x, unsigned __n)

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

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

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

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

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

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

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

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

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

template<typename _Up >
constexpr 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)

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

template<typename _Up >
constexpr 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 &=_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 > &, int)

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

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

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

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

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

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

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

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

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

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

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

template<typename _Tp >
constexpr 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)

Detailed Description

Classes and functions for complex numbers.

Function Documentation

◆ abs()

template<typename _Tp >

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

inline

Return magnitude of z.

Definition at line 968 of file complex.

References std::arg().

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

◆ arg()

template<typename _Tp >

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

inline

Return phase angle of z.

Definition at line 995 of file complex.

Referenced by std::abs(), std::exp(), std::tr1::fabs(), std::fabs(), and std::tr1::pow().

◆ conj()

template<typename _Tp >

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

inline

Return complex conjugate of z.

Definition at line 1047 of file complex.

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

Referenced by std::tr1::pow().

◆ cos()

template<typename _Tp >

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

inline

Return complex cosine of z.

Definition at line 1079 of file complex.

References std::cosh(), std::sin(), and std::sinh().

Referenced by std::conj(), std::log10(), std::sin(), and std::sqrt().

◆ cosh()

template<typename _Tp >

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

inline

Return complex hyperbolic cosine of z.

Definition at line 1109 of file complex.

References std::exp().

Referenced by std::conj(), std::cos(), std::log10(), std::sin(), and std::tan().

◆ exp()

template<typename _Tp >

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

inline

Return complex base e exponential of z.

Definition at line 1135 of file complex.

References std::abs(), std::arg(), and std::log().

Referenced by std::cosh(), std::lognormal_distribution< _RealType >::operator()(), and std::pow().

◆ fabs()

template<typename _Tp >

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

inline

fabs(__z) [8.1.8].

Definition at line 313 of file tr1/complex.

References std::abs(), std::arg(), std::fabs(), and std::norm().

◆ log()

template<typename _Tp >

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

inline

Return complex natural logarithm of z.

Definition at line 1162 of file complex.

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

◆ log10()

template<typename _Tp >

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

inline

Return complex base 10 logarithm of z.

Definition at line 1167 of file complex.

References std::cos(), std::cosh(), std::log(), std::sin(), and std::sinh().

◆ norm()

template<typename _Tp >

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

inline

Return z magnitude squared.

Definition at line 1031 of file complex.

Referenced by std::tr1::fabs(), std::fabs(), and std::tr1::pow().

◆ operator*() [1/3]

template<typename _Tp >

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

inline

Return new complex value x times y.

Definition at line 434 of file complex.

◆ operator*() [2/3]

template<typename _Tp >

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

inline

Return new complex value x times y.

Definition at line 443 of file complex.

◆ operator*() [3/3]

template<typename _Tp >

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

inline

Return new complex value x times y.

Definition at line 452 of file complex.

◆ operator*=() [1/2]

template<typename _Tp >

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

Multiply this complex number by a scalar.

Definition at line 293 of file complex.

◆ operator*=() [2/2]

template<typename _Tp >

template<typename _Up >

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

Multiply this complex number by another.

Definition at line 347 of file complex.

◆ operator+() [1/4]

template<typename _Tp >

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

inline

Return new complex value x plus y.

Definition at line 374 of file complex.

◆ operator+() [2/4]

template<typename _Tp >

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

inline

Return new complex value x plus y.

Definition at line 383 of file complex.

◆ operator+() [3/4]

template<typename _Tp >

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

inline

Return new complex value x plus y.

Definition at line 392 of file complex.

◆ operator+() [4/4]

template<typename _Tp >

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

inline

Return x.

Definition at line 493 of file complex.

◆ operator+=()

template<typename _Tp >

template<typename _Up >

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

Add another complex number to this one.

Definition at line 324 of file complex.

◆ operator-() [1/4]

template<typename _Tp >

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

inline

Return new complex value x minus y.

Definition at line 404 of file complex.

◆ operator-() [2/4]

template<typename _Tp >

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

inline

Return new complex value x minus y.

Definition at line 413 of file complex.

◆ operator-() [3/4]

template<typename _Tp >

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

inline

Return new complex value x minus y.

Definition at line 422 of file complex.

◆ operator-() [4/4]

template<typename _Tp >

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

inline

Return complex negation of x.

Definition at line 499 of file complex.

◆ operator-=()

template<typename _Tp >

template<typename _Up >

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

Subtract another complex number from this one.

Definition at line 335 of file complex.

◆ operator/() [1/3]

template<typename _Tp >

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

inline

Return new complex value x divided by y.

Definition at line 464 of file complex.

◆ operator/() [2/3]

template<typename _Tp >

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

inline

Return new complex value x divided by y.

Definition at line 473 of file complex.

◆ operator/() [3/3]

template<typename _Tp >

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

inline

Return new complex value x divided by y.

Definition at line 482 of file complex.

◆ operator/=() [1/2]

template<typename _Tp >

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

Divide this complex number by a scalar.

Definition at line 303 of file complex.

◆ operator/=() [2/2]

template<typename _Tp >

template<typename _Up >

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

Divide this complex number by another.

Definition at line 360 of file complex.

◆ operator<<()

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 597 of file complex.

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

◆ operator=() [1/2]

template<typename _Tp >

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

Assign a scalar to this complex number.

Definition at line 283 of file complex.

◆ operator=() [2/2]

template<typename _Tp >

template<typename _Up >

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

Assign another complex number to this one.

Definition at line 313 of file complex.

◆ operator==() [1/2]

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 506 of file complex.

◆ operator==() [2/2]

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 511 of file complex.

◆ operator>>()

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 543 of file complex.

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

◆ polar()

template<typename _Tp >

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

inline

Return complex with magnitude rho and angle theta.

Definition at line 1039 of file complex.

Referenced by std::tr1::pow().

◆ pow() [1/5]

template<typename _Tp >

complex< _Tp > std::pow	(	const complex< _Tp > &	__z,
		int	__n
	)

inline

Return x to the y'th power.

Definition at line 1357 of file complex.

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

◆ pow() [2/5]

template<typename _Tp >

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

Return x to the y'th power.

Definition at line 1367 of file complex.

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

◆ pow() [3/5]

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 1406 of file complex.

◆ pow() [4/5]

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 1412 of file complex.

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

◆ pow() [5/5]

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 354 of file tr1/complex.

References std::arg(), std::conj(), std::norm(), std::polar(), and std::pow().

◆ sin()

template<typename _Tp >

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

inline

Return complex sine of z.

Definition at line 1197 of file complex.

References std::cos(), std::cosh(), and std::sinh().

Referenced by std::conj(), std::cos(), std::log10(), and std::sqrt().

◆ sinh()

template<typename _Tp >

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

inline

Return complex hyperbolic sine of z.

Definition at line 1227 of file complex.

References std::abs(), and std::sqrt().

Referenced by std::conj(), std::cos(), std::log10(), std::sin(), and std::tan().

◆ sqrt()

template<typename _Tp >

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

inline

Return complex square root of z.

Definition at line 1271 of file complex.

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

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

◆ tan()

template<typename _Tp >

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

inline

Return complex tangent of z.

Definition at line 1298 of file complex.

References std::cosh(), std::sinh(), and std::tanh().

Referenced by std::sqrt().

◆ tanh()

template<typename _Tp >

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

inline

Return complex hyperbolic tangent of z.

Definition at line 1326 of file complex.

Referenced by std::tan().

Classes

Functions

Detailed Description

Function Documentation

◆ abs()

◆ arg()

◆ conj()

◆ cos()

◆ cosh()

◆ exp()

◆ fabs()

◆ log()

◆ log10()

◆ norm()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+() [1/4]

◆ operator+() [2/4]

◆ operator+() [3/4]

◆ operator+() [4/4]

◆ operator+=()

◆ operator-() [1/4]

◆ operator-() [2/4]

◆ operator-() [3/4]

◆ operator-() [4/4]

◆ operator-=()

◆ operator/() [1/3]

◆ operator/() [2/3]

◆ operator/() [3/3]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator<<()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ operator>>()

◆ polar()

◆ pow() [1/5]

◆ pow() [2/5]

◆ pow() [3/5]

◆ pow() [4/5]

◆ pow() [5/5]

◆ sin()

◆ sinh()

◆ sqrt()

◆ tan()

◆ tanh()