libstdc++
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std::tr1 Namespace Reference

Namespaces

namespace  __detail
 

Functions

template<typename _Tp>
std::complex< _Tp > acos (const std::complex< _Tp > &)
 
template<typename _Tp>
std::complex< _Tp > acosh (const std::complex< _Tp > &)
 
template<typename _Tp>
_Tp arg (const complex< _Tp > &)
 
template<typename _Tp>
std::complex< _Tp > asin (const std::complex< _Tp > &)
 
template<typename _Tp>
std::complex< _Tp > asinh (const std::complex< _Tp > &)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type assoc_laguerre (unsigned int __n, unsigned int __m, _Tp __x)
 
float assoc_laguerref (unsigned int __n, unsigned int __m, float __x)
 
long double assoc_laguerrel (unsigned int __n, unsigned int __m, long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type assoc_legendre (unsigned int __l, unsigned int __m, _Tp __x)
 
float assoc_legendref (unsigned int __l, unsigned int __m, float __x)
 
long double assoc_legendrel (unsigned int __l, unsigned int __m, long double __x)
 
template<typename _Tp>
std::complex< _Tp > atan (const std::complex< _Tp > &)
 
template<typename _Tp>
std::complex< _Tp > atanh (const std::complex< _Tp > &)
 
template<typename _Tpx, typename _Tpy>
__gnu_cxx::__promote_2< _Tpx, _Tpy >::__type beta (_Tpx __x, _Tpy __y)
 
float betaf (float __x, float __y)
 
long double betal (long double __x, long double __y)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type comp_ellint_1 (_Tp __k)
 
float comp_ellint_1f (float __k)
 
long double comp_ellint_1l (long double __k)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type comp_ellint_2 (_Tp __k)
 
float comp_ellint_2f (float __k)
 
long double comp_ellint_2l (long double __k)
 
template<typename _Tp, typename _Tpn>
__gnu_cxx::__promote_2< _Tp, _Tpn >::__type comp_ellint_3 (_Tp __k, _Tpn __nu)
 
float comp_ellint_3f (float __k, float __nu)
 
long double comp_ellint_3l (long double __k, long double __nu)
 
template<typename _Tpa, typename _Tpc, typename _Tp>
__gnu_cxx::__promote_3< _Tpa, _Tpc, _Tp >::__type conf_hyperg (_Tpa __a, _Tpc __c, _Tp __x)
 
float conf_hypergf (float __a, float __c, float __x)
 
long double conf_hypergl (long double __a, long double __c, long double __x)
 
template<typename _Tp>
std::complex< typename __gnu_cxx::__promote< _Tp >::__type > conj (_Tp __x)
 
template<typename _Tp>
std::complex< _Tp > conj (const std::complex< _Tp > &__z)
 
template<typename _Tpnu, typename _Tp>
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_i (_Tpnu __nu, _Tp __x)
 
float cyl_bessel_if (float __nu, float __x)
 
long double cyl_bessel_il (long double __nu, long double __x)
 
template<typename _Tpnu, typename _Tp>
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_j (_Tpnu __nu, _Tp __x)
 
float cyl_bessel_jf (float __nu, float __x)
 
long double cyl_bessel_jl (long double __nu, long double __x)
 
template<typename _Tpnu, typename _Tp>
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_bessel_k (_Tpnu __nu, _Tp __x)
 
float cyl_bessel_kf (float __nu, float __x)
 
long double cyl_bessel_kl (long double __nu, long double __x)
 
template<typename _Tpnu, typename _Tp>
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type cyl_neumann (_Tpnu __nu, _Tp __x)
 
float cyl_neumannf (float __nu, float __x)
 
long double cyl_neumannl (long double __nu, long double __x)
 
template<typename _Tp, typename _Tpp>
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type ellint_1 (_Tp __k, _Tpp __phi)
 
float ellint_1f (float __k, float __phi)
 
long double ellint_1l (long double __k, long double __phi)
 
template<typename _Tp, typename _Tpp>
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type ellint_2 (_Tp __k, _Tpp __phi)
 
float ellint_2f (float __k, float __phi)
 
long double ellint_2l (long double __k, long double __phi)
 
template<typename _Tp, typename _Tpn, typename _Tpp>
__gnu_cxx::__promote_3< _Tp, _Tpn, _Tpp >::__type ellint_3 (_Tp __k, _Tpn __nu, _Tpp __phi)
 
float ellint_3f (float __k, float __nu, float __phi)
 
long double ellint_3l (long double __k, long double __nu, long double __phi)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type expint (_Tp __x)
 
float expintf (float __x)
 
long double expintl (long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type fabs (_Tp __x)
 
template<typename _Tp>
std::complex< _Tp > fabs (const std::complex< _Tp > &__z)
 
float fabs (float __x)
 
long double fabs (long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type hermite (unsigned int __n, _Tp __x)
 
float hermitef (unsigned int __n, float __x)
 
long double hermitel (unsigned int __n, long double __x)
 
template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
__gnu_cxx::__promote_4< _Tpa, _Tpb, _Tpc, _Tp >::__type hyperg (_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
 
float hypergf (float __a, float __b, float __c, float __x)
 
long double hypergl (long double __a, long double __b, long double __c, long double __x)
 
template<typename _Tp>
constexpr _Tp imag (const complex< _Tp > &__z)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type laguerre (unsigned int __n, _Tp __x)
 
float laguerref (unsigned int __n, float __x)
 
long double laguerrel (unsigned int __n, long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type legendre (unsigned int __n, _Tp __x)
 
float legendref (unsigned int __n, float __x)
 
long double legendrel (unsigned int __n, long double __x)
 
template<typename _Tp>
_Tp constexpr norm (const complex< _Tp > &)
 
template<typename _Tp>
complex< _Tp > polar (const _Tp &, const _Tp &=_Tp(0))
 
template<typename _Tp, typename _Up>
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type > polar (const _Tp &__rho, const _Up &__theta)
 
template<typename _Tp, typename _Up>
__gnu_cxx::__promote_2< _Tp, _Up >::__type pow (_Tp __x, _Up __y)
 
template<typename _Tp>
std::complex< _Tp > pow (const _Tp &__x, const std::complex< _Tp > &__y)
 
template<typename _Tp, typename _Up>
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type > pow (const _Tp &__x, const std::complex< _Up > &__y)
 
template<typename _Tp>
std::complex< _Tp > pow (const std::complex< _Tp > &__x, const _Tp &__y)
 
template<typename _Tp, typename _Up>
std::complex< typename __gnu_cxx::__promote_2< _Tp, _Up >::__type > pow (const std::complex< _Tp > &__x, const _Up &__y)
 
template<typename _Tp>
std::complex< _Tp > 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 > pow (const std::complex< _Tp > &__x, const std::complex< _Up > &__y)
 
float pow (float __x, float __y)
 
long double pow (long double __x, long double __y)
 
template<typename _Tp>
constexpr _Tp real (const complex< _Tp > &__z)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type riemann_zeta (_Tp __x)
 
float riemann_zetaf (float __x)
 
long double riemann_zetal (long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type sph_bessel (unsigned int __n, _Tp __x)
 
float sph_besself (unsigned int __n, float __x)
 
long double sph_bessell (unsigned int __n, long double __x)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type sph_legendre (unsigned int __l, unsigned int __m, _Tp __theta)
 
float sph_legendref (unsigned int __l, unsigned int __m, float __theta)
 
long double sph_legendrel (unsigned int __l, unsigned int __m, long double __theta)
 
template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type sph_neumann (unsigned int __n, _Tp __x)
 
float sph_neumannf (unsigned int __n, float __x)
 
long double sph_neumannl (unsigned int __n, long double __x)
 

Detailed Description

ISO C++ TR1 entities toplevel namespace is std::tr1.

Function Documentation

◆ acos()

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

Definition at line 2308 of file complex.

◆ acosh()

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

Definition at line 2424 of file complex.

◆ arg()

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

Return phase angle of z.

Definition at line 995 of file complex.

◆ asin()

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

Definition at line 2344 of file complex.

◆ asinh()

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

Definition at line 2463 of file complex.

◆ atan()

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

Definition at line 2388 of file complex.

◆ atanh()

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

Definition at line 2507 of file complex.

◆ conf_hyperg()

template<typename _Tpa, typename _Tpc, typename _Tp>
__gnu_cxx::__promote_3< _Tpa, _Tpc, _Tp >::__type __gnu_cxx::conf_hyperg ( _Tpa __a,
_Tpc __c,
_Tp __x )
inline

Return the confluent hypergeometric function $ {}_1F_1(a;c;x) $ of real numeratorial parameter a, denominatorial parameter c, and argument x.

The confluent hypergeometric function is defined by

\[ {}_1F_1(a;c;x) = \sum_{n=0}^{\infty} \frac{(a)_n x^n}{(c)_n n!} \]

where the Pochhammer symbol is $ (x)_k = (x)(x+1)...(x+k-1) $, $ (x)_0 = 1 $

Parameters
__aThe numeratorial parameter
__cThe denominatorial parameter
__xThe argument

Definition at line 1325 of file specfun.h.

◆ conf_hypergf()

float __gnu_cxx::conf_hypergf ( float __a,
float __c,
float __x )
inline

Return the confluent hypergeometric function $ {}_1F_1(a;c;x) $ of float numeratorial parameter a, denominatorial parameter c, and argument x.

See also
conf_hyperg for details.

Definition at line 1293 of file specfun.h.

◆ conf_hypergl()

long double __gnu_cxx::conf_hypergl ( long double __a,
long double __c,
long double __x )
inline

Return the confluent hypergeometric function $ {}_1F_1(a;c;x) $ of long double numeratorial parameter a, denominatorial parameter c, and argument x.

See also
conf_hyperg for details.

Definition at line 1304 of file specfun.h.

◆ fabs() [1/3]

template<typename _Tp>
__gnu_cxx::__promote< _Tp >::__type std::tr1::fabs ( _Tp __x)
inline

Definition at line 1127 of file tr1/cmath.

◆ fabs() [2/3]

float std::tr1::fabs ( float __x)
inline

Definition at line 1116 of file tr1/cmath.

◆ fabs() [3/3]

long double std::tr1::fabs ( long double __x)
inline

Definition at line 1120 of file tr1/cmath.

◆ hyperg()

template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
__gnu_cxx::__promote_4< _Tpa, _Tpb, _Tpc, _Tp >::__type __gnu_cxx::hyperg ( _Tpa __a,
_Tpb __b,
_Tpc __c,
_Tp __x )
inline

Return the hypergeometric function $ {}_2F_1(a,b;c;x) $ of real numeratorial parameters a and b, denominatorial parameter c, and argument x.

The hypergeometric function is defined by

\[ {}_2F_1(a;c;x) = \sum_{n=0}^{\infty} \frac{(a)_n (b)_n x^n}{(c)_n n!} \]

where the Pochhammer symbol is $ (x)_k = (x)(x+1)...(x+k-1) $, $ (x)_0 = 1 $

Parameters
__aThe first numeratorial parameter
__bThe second numeratorial parameter
__cThe denominatorial parameter
__xThe argument

Definition at line 1374 of file specfun.h.

◆ hypergf()

float __gnu_cxx::hypergf ( float __a,
float __b,
float __c,
float __x )
inline

Return the hypergeometric function $ {}_2F_1(a,b;c;x) $ of @ float numeratorial parameters a and b, denominatorial parameter c, and argument x.

See also
hyperg for details.

Definition at line 1341 of file specfun.h.

◆ hypergl()

long double __gnu_cxx::hypergl ( long double __a,
long double __b,
long double __c,
long double __x )
inline

Return the hypergeometric function $ {}_2F_1(a,b;c;x) $ of long double numeratorial parameters a and b, denominatorial parameter c, and argument x.

See also
hyperg for details.

Definition at line 1352 of file specfun.h.

◆ imag()

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

Definition at line 616 of file complex.

◆ norm()

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

Return z magnitude squared.

◆ 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.

◆ pow() [1/3]

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

Definition at line 1098 of file tr1/cmath.

◆ pow() [2/3]

float std::tr1::pow ( float __x,
float __y )
inline

Definition at line 1088 of file tr1/cmath.

◆ pow() [3/3]

long double std::tr1::pow ( long double __x,
long double __y )
inline

Definition at line 1092 of file tr1/cmath.

◆ real()

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

Definition at line 611 of file complex.