libstdc++
Complex Numbers
Collaboration diagram for Complex Numbers:

Classes

class  std::complex< _Tp >
 

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 >
std::complex< typename __gnu_cxx::__promote< _Tp >::__type > std::tr1::conj (_Tp __x)
 
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 >
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 >
constexpr _Tp 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 &=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 _Tp &, const complex< _Tp > &)
 
template<typename _Tp >
std::complex< _Tp > std::tr1::pow (const _Tp &__x, const std::complex< _Tp > &__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 >
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 complex< _Tp > &, int)
 
template<typename _Tp >
std::complex< _Tp > std::tr1::pow (const std::complex< _Tp > &__x, const _Tp &__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 _Up &__y)
 
template<typename _Tp >
std::complex< _Tp > std::tr1::pow (const std::complex< _Tp > &__x, const std::complex< _Tp > &__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 >
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)
 
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

◆ arg()

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

Return phase angle of z.

Definition at line 657 of file complex.

Referenced by std::arg().

◆ conj()

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

Return complex conjugate of z.

Definition at line 709 of file complex.

◆ cos()

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

Return complex cosine of z.

Definition at line 741 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 771 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 797 of file complex.

Referenced by 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 309 of file tr1/complex.

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

◆ log()

◆ log10()

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

Return complex base 10 logarithm of z.

Definition at line 829 of file complex.

References std::log().

◆ norm()

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

Return z magnitude squared.

Definition at line 693 of file complex.

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

◆ operator!=() [1/3]

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

Return false if x is equal to y.

Definition at line 493 of file complex.

◆ operator!=() [2/3]

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

Return false if x is equal to y.

Definition at line 488 of file complex.

◆ operator!=() [3/3]

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

Return false if x is equal to y.

Definition at line 483 of file complex.

◆ operator*() [1/3]

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

Return new complex value x times y.

Definition at line 410 of file complex.

◆ operator*() [2/3]

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

Return new complex value x times y.

Definition at line 401 of file complex.

◆ operator*() [3/3]

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

Return new complex value x times y.

Definition at line 392 of file complex.

◆ operator*=() [1/2]

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

Multiply this complex number by a scalar.

Definition at line 251 of file complex.

◆ operator*=() [2/2]

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

Multiply this complex number by another.

Definition at line 305 of file complex.

◆ operator+() [1/4]

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

Return new complex value x plus y.

Definition at line 350 of file complex.

◆ operator+() [2/4]

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

Return x.

Definition at line 451 of file complex.

◆ operator+() [3/4]

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

Return new complex value x plus y.

Definition at line 341 of file complex.

◆ operator+() [4/4]

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

Return new complex value x plus y.

Definition at line 332 of file complex.

◆ operator+=()

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

Add another complex number to this one.

Definition at line 282 of file complex.

◆ operator-() [1/4]

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

Return new complex value x minus y.

Definition at line 380 of file complex.

◆ operator-() [2/4]

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

Return complex negation of x.

Definition at line 457 of file complex.

◆ operator-() [3/4]

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

Return new complex value x minus y.

Definition at line 371 of file complex.

◆ operator-() [4/4]

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

Return new complex value x minus y.

Definition at line 362 of file complex.

◆ operator-=()

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

Subtract another complex number from this one.

Definition at line 293 of file complex.

◆ operator/() [1/3]

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

Return new complex value x divided by y.

Definition at line 440 of file complex.

◆ operator/() [2/3]

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

Return new complex value x divided by y.

Definition at line 431 of file complex.

◆ operator/() [3/3]

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

Return new complex value x divided by y.

Definition at line 422 of file complex.

◆ operator/=() [1/2]

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

Divide this complex number by a scalar.

Definition at line 261 of file complex.

◆ operator/=() [2/2]

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

Divide this complex number by another.

Definition at line 318 of file complex.

References std::norm().

◆ operator<<()

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

◆ operator=() [1/2]

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

Assign a scalar to this complex number.

Definition at line 241 of file complex.

◆ operator=() [2/2]

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

Assign another complex number to this one.

Definition at line 271 of file complex.

◆ operator==() [1/3]

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

Return true if x is equal to y.

Definition at line 475 of file complex.

◆ operator==() [2/3]

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

Return true if x is equal to y.

Definition at line 469 of file complex.

◆ operator==() [3/3]

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

Return true if x is equal to y.

Definition at line 464 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 501 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 701 of file complex.

◆ pow() [1/5]

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 1073 of file complex.

References std::log(), and std::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 1028 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 1067 of file complex.

◆ pow() [4/5]

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

Return x to the y'th power.

Definition at line 1019 of file complex.

Referenced by std::gamma_distribution< _RealType >::operator()(), std::pow(), and std::tr1::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 350 of file tr1/complex.

References std::pow().

◆ sin()

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

Return complex sine of z.

Definition at line 859 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 889 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 933 of file complex.

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

◆ tan()

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

Return complex tangent of z.

Definition at line 960 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 988 of file complex.