Complex Numbers
[Numerics]

Collaboration diagram for Complex Numbers:

Classes

• struct std::complex< _Tp >

Functions

• template<typename _Tp > _Tp std::__complex_abs (const complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::__complex_acos (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::__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::__complex_asin (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::__complex_asinh (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::__complex_atan (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::__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::acos (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::acosh (const std::complex< _Tp > &__z)
• template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::arg (_Tp __x)
• template<typename _Tp > _Tp std::arg (const complex< _Tp > &)
• template<typename _Tp > std::complex< _Tp > std::asin (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::asinh (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::atan (const std::complex< _Tp > &__z)
• template<typename _Tp > std::complex< _Tp > std::atanh (const std::complex< _Tp > &__z)
• std::complex< double >::complex (const complex< long double > &)
• std::complex< float >::complex (const complex< long double > &)
• std::complex< float >::complex (const complex< double > &)
• template<typename _Tp > std::complex< typename
  __gnu_cxx::__promote< _Tp >
  ::__type > std::conj (_Tp __x)
• template<typename _Tp > complex< _Tp > std::conj (const complex< _Tp > &)
• 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 > _Tp std::fabs (const std::complex< _Tp > &__z)
• template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::imag (_Tp)
• template<typename _Tp > _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 > __gnu_cxx::__promote< _Tp >::__type std::norm (_Tp __x)
• template<typename _Tp > _Tp std::norm (const complex< _Tp > &)
• template<typename _Up > complex< _Tp > & std::complex::operator*= (const complex< _Up > &)
• complex< _Tp > & std::complex::operator*= (const _Tp &)
• template<typename _Tp > complex< _Tp > std::operator+ (const complex< _Tp > &__x)
• template<typename _Up > complex< _Tp > & std::complex::operator+= (const complex< _Up > &)
• template<typename _Tp > complex< _Tp > std::operator- (const complex< _Tp > &__x)
• template<typename _Up > complex< _Tp > & std::complex::operator-= (const complex< _Up > &)
• template<typename _Up > complex< _Tp > & std::complex::operator/= (const complex< _Up > &)
• complex< _Tp > & std::complex::operator/= (const _Tp &)
• template<typename _Tp , typename _CharT , class _Traits > basic_ostream< _CharT, _Traits > & std::operator<< (basic_ostream< _CharT, _Traits > &__os, const complex< _Tp > &__x)
• template<typename _Up > complex< _Tp > & std::complex::operator= (const complex< _Up > &)
• complex< _Tp > & std::complex::operator= (const _Tp &)
• 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::pow (const std::complex< _Tp > &__x, const std::complex< _Up > &__y)
• template<typename _Tp , typename _Up > std::complex< typename
  __gnu_cxx::__promote_2< _Tp,
  _Up >::__type > std::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::pow (const std::complex< _Tp > &__x, const _Up &__y)
• template<typename _Tp > complex< _Tp > std::pow (const _Tp &, const complex< _Tp > &)
• template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > &, const complex< _Tp > &)
• template<typename _Tp > complex< _Tp > std::pow (const complex< _Tp > &, const _Tp &)
• template<typename _Tp > __gnu_cxx::__promote< _Tp >::__type std::real (_Tp __x)
• template<typename _Tp > _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 > bool std::operator!= (const _Tp &__x, const complex< _Tp > &__y)
• template<typename _Tp > bool std::operator!= (const complex< _Tp > &__x, const _Tp &__y)
• template<typename _Tp > bool std::operator!= (const complex< _Tp > &__x, const complex< _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 _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 _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 complex< _Tp > &__x, const complex< _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 _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 _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 complex< _Tp > &__x, const complex< _Tp > &__y)

• template<typename _Tp > bool std::operator== (const _Tp &__x, const complex< _Tp > &__y)
• template<typename _Tp > bool std::operator== (const complex< _Tp > &__x, const _Tp &__y)
• template<typename _Tp > bool std::operator== (const complex< _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::__detail::__airy(), std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__comp_ellint_1(), std::tr1::__detail::__comp_ellint_2(), std::tr1::__detail::__comp_ellint_3(), std::tr1::__detail::__conf_hyperg_luke(), std::tr1::__detail::__conf_hyperg_series(), std::tr1::__detail::__cyl_bessel_ij_series(), std::tr1::__detail::__ellint_1(), std::tr1::__detail::__ellint_2(), std::tr1::__detail::__ellint_3(), std::tr1::__detail::__ellint_rc(), std::tr1::__detail::__ellint_rd(), std::tr1::__detail::__ellint_rf(), std::tr1::__detail::__ellint_rj(), std::tr1::__detail::__expint_asymp(), std::tr1::__detail::__expint_E1_asymp(), std::tr1::__detail::__expint_E1_series(), std::tr1::__detail::__expint_En_cont_frac(), std::tr1::__detail::__expint_En_series(), std::tr1::__detail::__expint_large_n(), std::tr1::__detail::__gamma_temme(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg(), std::tr1::__detail::__hyperg_luke(), std::tr1::__detail::__hyperg_reflect(), std::tr1::__detail::__hyperg_series(), std::tr1::__detail::__log_gamma(), std::tr1::__detail::__poly_laguerre_hyperg(), std::tr1::__detail::__psi(), std::tr1::__detail::__psi_asymp(), std::tr1::__detail::__psi_series(), std::tr1::__detail::__riemann_zeta_alt(), std::tr1::__detail::__riemann_zeta_glob(), std::fabs(), std::binomial_distribution< _IntType, _RealType >::operator()(), and std::poisson_distribution< _IntType, _RealType >::operator()().

template<typename _Tp >

std::complex< _Tp > std::acos

(

const std::complex< _Tp > &

__z

)

[inline]

acos(__z) [8.1.2].

Definition at line 86 of file tr1_impl/complex.

template<typename _Tp >

std::complex< _Tp > std::acosh

(

const std::complex< _Tp > &

__z

)

[inline]

acosh(__z) [8.1.5].

Definition at line 205 of file tr1_impl/complex.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::arg

(

_Tp

__x

)

[inline]

Additional overloads [8.1.9].

Definition at line 311 of file tr1_impl/complex.

References std::arg().

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::asin

(

const std::complex< _Tp > &

__z

)

[inline]

asin(__z) [8.1.3].

Definition at line 122 of file tr1_impl/complex.

template<typename _Tp >

std::complex< _Tp > std::asinh

(

const std::complex< _Tp > &

__z

)

[inline]

asinh(__z) [8.1.6].

Definition at line 244 of file tr1_impl/complex.

template<typename _Tp >

std::complex< _Tp > std::atan

(

const std::complex< _Tp > &

__z

)

[inline]

atan(__z) [8.1.4].

Definition at line 166 of file tr1_impl/complex.

template<typename _Tp >

std::complex< _Tp > std::atanh

(

const std::complex< _Tp > &

__z

)

[inline]

atanh(__z) [8.1.7].

Definition at line 288 of file tr1_impl/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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

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::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_1(), std::tr1::__detail::__ellint_2(), std::tr1::__detail::__ellint_3(), std::tr1::__detail::__psi(), std::tr1::__detail::__sph_legendre(), and 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.

Referenced by std::tr1::__detail::__bessel_ik(), and std::tr1::__detail::__bessel_jn().

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::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__beta_lgamma(), std::tr1::__detail::__bincoef(), std::tr1::__detail::__conf_hyperg(), std::tr1::__detail::__cyl_bessel_ij_series(), std::tr1::__detail::__expint(), std::tr1::__detail::__expint_asymp(), std::tr1::__detail::__expint_E1_asymp(), std::tr1::__detail::__expint_Ei_asymp(), std::tr1::__detail::__expint_En_cont_frac(), std::tr1::__detail::__expint_En_recursion(), std::tr1::__detail::__expint_large_n(), std::tr1::__detail::__gamma(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg_reflect(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__sph_legendre(), std::gamma_distribution< _RealType >::operator()(), and std::pow().

template<typename _Tp >

_Tp std::fabs

(

const std::complex< _Tp > &

__z

)

[inline]

fabs(__z) [8.1.8].

Definition at line 301 of file tr1_impl/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::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__bincoef(), std::tr1::__detail::__cyl_bessel_ij_series(), std::tr1::__detail::__expint_E1_series(), std::tr1::__detail::__expint_Ei(), std::tr1::__detail::__expint_Ei_series(), std::tr1::__detail::__expint_En_series(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg_reflect(), std::tr1::__detail::__log_bincoef(), std::tr1::__detail::__log_gamma(), std::tr1::__detail::__log_gamma_bernoulli(), std::tr1::__detail::__log_gamma_lanczos(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi_asymp(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__sph_legendre(), std::log10(), std::gamma_distribution< _RealType >::operator()(), std::normal_distribution< _RealType >::operator()(), std::binomial_distribution< _IntType, _RealType >::operator()(), std::poisson_distribution< _IntType, _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 >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

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::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 complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)			[inline]

Return new complex value x times y.

Definition at line 379 of file complex.

Referenced by std::ostreambuf_iterator< _CharT, _Traits >::operator*(), std::istreambuf_iterator< _CharT, _Traits >::operator*(), std::insert_iterator< _Container >::operator*(), std::front_insert_iterator< _Container >::operator*(), std::back_insert_iterator< _Container >::operator*(), std::reverse_iterator< _Iterator >::operator*(), std::auto_ptr< _Tp >::operator*(), and std::reverse_iterator< _Iterator >::operator->().

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator*=

(

const complex< _Up > &

__z

)

[inline, inherited]

Multiply this complex number by z.

Definition at line 292 of file complex.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator*=

(

const _Tp &

__t

)

[inline, inherited]

Multiply this complex number by t.

Definition at line 238 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 >

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,
		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 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 >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator+=

(

const complex< _Up > &

__z

)

[inline, inherited]

Add z to this complex number.

Definition at line 269 of file complex.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

complex<_Tp> std::operator-

(

const complex< _Tp > &

__x

)

[inline]

Return complex negation of x.

Definition at line 444 of file complex.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

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 complex< _Tp > &	__x,
		const complex< _Tp > &	__y
	)			[inline]

Return new complex value x minus y.

Definition at line 349 of file complex.

Referenced by std::operator-(), std::reverse_iterator< _Iterator >::operator-(), and std::fpos< _StateT >::operator-().

template<typename _Tp >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator-=

(

const complex< _Up > &

__z

)

[inline, inherited]

Subtract z from this complex number.

Definition at line 280 of file complex.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

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::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 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 >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator/=

(

const complex< _Up > &

__z

)

[inline, inherited]

Divide this complex number by z.

Definition at line 305 of file complex.

References std::complex< _Tp >::imag(), std::norm(), and std::complex< _Tp >::real().

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator/=

(

const _Tp &

__t

)

[inline, inherited]

Divide this complex number by t.

Definition at line 248 of file complex.

template<typename _Tp , typename _CharT , class _Traits >

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

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 >

template<typename _Up >

complex< _Tp > & std::complex< _Tp >::operator=

(

const complex< _Up > &

__z

)

[inline, inherited]

Assign this complex number to complex z.

Definition at line 258 of file complex.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

complex< _Tp > & std::complex< _Tp >::operator=

(

const _Tp &

__t

)

[inline, inherited]

Assign this complex number to scalar t.

Definition at line 228 of file complex.

template<typename _Tp >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp >

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.

References std::complex< _Tp >::imag(), and std::complex< _Tp >::real().

template<typename _Tp , typename _CharT , class _Traits >

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

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 _Tp &	__x,
		const complex< _Tp > &	__y
	)			[inline]

Return x to the y'th power.

Definition at line 1009 of file complex.

References std::complex< _Tp >::imag(), std::log(), std::polar(), std::pow(), and std::complex< _Tp >::real().

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 1003 of file complex.

References std::pow().

template<typename _Tp >

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

Return x to the y'th power.

Definition at line 964 of file complex.

References std::exp(), std::complex< _Tp >::imag(), std::log(), std::polar(), std::pow(), and std::complex< _Tp >::real().

Referenced by std::tr1::__detail::__bernoulli_series(), std::tr1::__detail::__conf_hyperg_luke(), std::tr1::__detail::__ellint_rc(), std::tr1::__detail::__ellint_rd(), std::tr1::__detail::__ellint_rf(), std::tr1::__detail::__ellint_rj(), std::tr1::__detail::__hurwitz_zeta_glob(), std::tr1::__detail::__hyperg(), std::tr1::__detail::__hyperg_luke(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_alt(), std::tr1::__detail::__riemann_zeta_glob(), std::tr1::__detail::__riemann_zeta_product(), std::tr1::__detail::__riemann_zeta_sum(), std::gamma_distribution< _RealType >::operator()(), std::tr1::pow(), and 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::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_1(), std::tr1::__detail::__ellint_2(), std::tr1::__detail::__ellint_3(), std::tr1::__detail::__log_gamma(), std::tr1::__detail::__log_gamma_sign(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__psi(), std::tr1::__detail::__riemann_zeta(), std::tr1::__detail::__riemann_zeta_glob(), and 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.

Referenced by std::tr1::__detail::__bessel_ik(), and std::tr1::__detail::__bessel_jn().

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::tr1::__detail::__airy(), std::tr1::__detail::__assoc_legendre_p(), std::tr1::__detail::__bessel_ik(), std::tr1::__detail::__bessel_jn(), std::tr1::__detail::__cyl_bessel_jn_asymp(), std::tr1::__detail::__ellint_rc(), std::tr1::__detail::__ellint_rd(), std::tr1::__detail::__ellint_rf(), std::tr1::__detail::__ellint_rj(), std::tr1::__detail::__poly_laguerre_large_n(), std::tr1::__detail::__sph_bessel_ik(), std::tr1::__detail::__sph_bessel_jn(), std::tr1::__detail::__sph_legendre(), and std::normal_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.