libstdc++
Classes | Functions
Complex Numbers
Numerics
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 >
_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 >
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 > &, 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 >
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

◆ abs()

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

Return magnitude of z.

Definition at line 622 of file complex.

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

◆ arg()

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

Return phase angle of z.

Definition at line 649 of file complex.

◆ conj()

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

Return complex conjugate of z.

Definition at line 698 of file complex.

◆ cos()

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

Return complex cosine of z.

Definition at line 730 of file complex.

◆ cosh()

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

Return complex hyperbolic cosine of z.

Definition at line 760 of file complex.

◆ exp()

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

Return complex base e exponential of z.

Definition at line 786 of file complex.

◆ fabs()

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

fabs(__z) [8.1.8].

Definition at line 309 of file tr1/complex.

◆ log()

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

Return complex natural logarithm of z.

Definition at line 813 of file complex.

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

◆ log10()

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

Return complex base 10 logarithm of z.

Definition at line 818 of file complex.

◆ norm()

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

Return z magnitude squared.

Definition at line 682 of file complex.

◆ operator!=() [1/3]

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 476 of file complex.

◆ operator!=() [2/3]

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 481 of file complex.

◆ operator!=() [3/3]

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 486 of file complex.

◆ operator*() [1/3]

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 386 of file complex.

◆ operator*() [2/3]

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 395 of file complex.

◆ operator*() [3/3]

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 404 of file complex.

◆ operator*=() [1/2]

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

Multiply this complex number by a scalar.

Definition at line 245 of file complex.

◆ operator*=() [2/2]

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

Multiply this complex number by another.

Definition at line 299 of file complex.

◆ operator+() [1/4]

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 326 of file complex.

◆ operator+() [2/4]

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 335 of file complex.

◆ operator+() [3/4]

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 344 of file complex.

◆ operator+() [4/4]

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

Return x.

Definition at line 445 of file complex.

◆ operator+=()

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

Add another complex number to this one.

Definition at line 276 of file complex.

◆ operator-() [1/4]

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 356 of file complex.

◆ operator-() [2/4]

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 365 of file complex.

◆ operator-() [3/4]

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 374 of file complex.

◆ operator-() [4/4]

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

Return complex negation of x.

Definition at line 451 of file complex.

◆ operator-=()

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

Subtract another complex number from this one.

Definition at line 287 of file complex.

◆ operator/() [1/3]

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 416 of file complex.

◆ operator/() [2/3]

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 425 of file complex.

◆ operator/() [3/3]

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 434 of file complex.

◆ operator/=() [1/2]

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

Divide this complex number by a scalar.

Definition at line 255 of file complex.

◆ operator/=() [2/2]

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

Divide this complex number by another.

Definition at line 312 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 547 of file complex.

◆ operator=() [1/2]

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

Assign a scalar to this complex number.

Definition at line 235 of file complex.

◆ operator=() [2/2]

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

Assign another complex number to this one.

Definition at line 265 of file complex.

◆ operator==() [1/3]

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 458 of file complex.

◆ operator==() [2/3]

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 463 of file complex.

◆ operator==() [3/3]

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 468 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 493 of file complex.

◆ polar()

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 690 of file complex.

◆ 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 1008 of file complex.

Referenced by std::gamma_distribution< result_type >::operator()().

◆ 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 1017 of file complex.

◆ 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 1056 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 1062 of file complex.

◆ 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 350 of file tr1/complex.

◆ sin()

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

Return complex sine of z.

Definition at line 848 of file complex.

◆ sinh()

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

Return complex hyperbolic sine of z.

Definition at line 878 of file complex.

◆ sqrt()

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

Return complex square root of z.

Definition at line 922 of file complex.

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

◆ tan()

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

Return complex tangent of z.

Definition at line 949 of file complex.

◆ tanh()

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

Return complex hyperbolic tangent of z.

Definition at line 977 of file complex.