libstdc++
Functions
TR1 Mathematical Special Functions
Numerics
Collaboration diagram for TR1 Mathematical Special Functions:

Functions

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::assoc_laguerre (unsigned int __n, unsigned int __m, _Tp __x)
 
float std::tr1::assoc_laguerref (unsigned int __n, unsigned int __m, float __x)
 
long double std::tr1::assoc_laguerrel (unsigned int __n, unsigned int __m, long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::assoc_legendre (unsigned int __l, unsigned int __m, _Tp __x)
 
float std::tr1::assoc_legendref (unsigned int __l, unsigned int __m, float __x)
 
long double std::tr1::assoc_legendrel (unsigned int __l, unsigned int __m, long double __x)
 
template<typename _Tpx , typename _Tpy >
__gnu_cxx::__promote_2< _Tpx, _Tpy >::__type std::tr1::beta (_Tpx __x, _Tpy __y)
 
float std::tr1::betaf (float __x, float __y)
 
long double std::tr1::betal (long double __x, long double __y)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::comp_ellint_1 (_Tp __k)
 
float std::tr1::comp_ellint_1f (float __k)
 
long double std::tr1::comp_ellint_1l (long double __k)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::comp_ellint_2 (_Tp __k)
 
float std::tr1::comp_ellint_2f (float __k)
 
long double std::tr1::comp_ellint_2l (long double __k)
 
template<typename _Tp , typename _Tpn >
__gnu_cxx::__promote_2< _Tp, _Tpn >::__type std::tr1::comp_ellint_3 (_Tp __k, _Tpn __nu)
 
float std::tr1::comp_ellint_3f (float __k, float __nu)
 
long double std::tr1::comp_ellint_3l (long double __k, long double __nu)
 
template<typename _Tpa , typename _Tpc , typename _Tp >
__gnu_cxx::__promote_3< _Tpa, _Tpc, _Tp >::__type std::tr1::conf_hyperg (_Tpa __a, _Tpc __c, _Tp __x)
 
float std::tr1::conf_hypergf (float __a, float __c, float __x)
 
long double std::tr1::conf_hypergl (long double __a, long double __c, long double __x)
 
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_i (_Tpnu __nu, _Tp __x)
 
float std::tr1::cyl_bessel_if (float __nu, float __x)
 
long double std::tr1::cyl_bessel_il (long double __nu, long double __x)
 
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_j (_Tpnu __nu, _Tp __x)
 
float std::tr1::cyl_bessel_jf (float __nu, float __x)
 
long double std::tr1::cyl_bessel_jl (long double __nu, long double __x)
 
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_k (_Tpnu __nu, _Tp __x)
 
float std::tr1::cyl_bessel_kf (float __nu, float __x)
 
long double std::tr1::cyl_bessel_kl (long double __nu, long double __x)
 
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_neumann (_Tpnu __nu, _Tp __x)
 
float std::tr1::cyl_neumannf (float __nu, float __x)
 
long double std::tr1::cyl_neumannl (long double __nu, long double __x)
 
template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type std::tr1::ellint_1 (_Tp __k, _Tpp __phi)
 
float std::tr1::ellint_1f (float __k, float __phi)
 
long double std::tr1::ellint_1l (long double __k, long double __phi)
 
template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type std::tr1::ellint_2 (_Tp __k, _Tpp __phi)
 
float std::tr1::ellint_2f (float __k, float __phi)
 
long double std::tr1::ellint_2l (long double __k, long double __phi)
 
template<typename _Tp , typename _Tpn , typename _Tpp >
__gnu_cxx::__promote_3< _Tp, _Tpn, _Tpp >::__type std::tr1::ellint_3 (_Tp __k, _Tpn __nu, _Tpp __phi)
 
float std::tr1::ellint_3f (float __k, float __nu, float __phi)
 
long double std::tr1::ellint_3l (long double __k, long double __nu, long double __phi)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::expint (_Tp __x)
 
float std::tr1::expintf (float __x)
 
long double std::tr1::expintl (long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::hermite (unsigned int __n, _Tp __x)
 
float std::tr1::hermitef (unsigned int __n, float __x)
 
long double std::tr1::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 std::tr1::hyperg (_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
 
float std::tr1::hypergf (float __a, float __b, float __c, float __x)
 
long double std::tr1::hypergl (long double __a, long double __b, long double __c, long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::laguerre (unsigned int __n, _Tp __x)
 
float std::tr1::laguerref (unsigned int __n, float __x)
 
long double std::tr1::laguerrel (unsigned int __n, long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::legendre (unsigned int __n, _Tp __x)
 
float std::tr1::legendref (unsigned int __n, float __x)
 
long double std::tr1::legendrel (unsigned int __n, long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::riemann_zeta (_Tp __x)
 
float std::tr1::riemann_zetaf (float __x)
 
long double std::tr1::riemann_zetal (long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_bessel (unsigned int __n, _Tp __x)
 
float std::tr1::sph_besself (unsigned int __n, float __x)
 
long double std::tr1::sph_bessell (unsigned int __n, long double __x)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_legendre (unsigned int __l, unsigned int __m, _Tp __theta)
 
float std::tr1::sph_legendref (unsigned int __l, unsigned int __m, float __theta)
 
long double std::tr1::sph_legendrel (unsigned int __l, unsigned int __m, long double __theta)
 
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_neumann (unsigned int __n, _Tp __x)
 
float std::tr1::sph_neumannf (unsigned int __n, float __x)
 
long double std::tr1::sph_neumannl (unsigned int __n, long double __x)
 

Detailed Description

A collection of advanced mathematical special functions.

Function Documentation

◆ assoc_laguerre()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::assoc_laguerre ( unsigned int  __n,
unsigned int  __m,
_Tp  __x 
)
inline

5.2.1.1 Associated Laguerre polynomials.

Definition at line 1275 of file tr1/cmath.

◆ assoc_laguerref()

float std::tr1::assoc_laguerref ( unsigned int  __n,
unsigned int  __m,
float  __x 
)
inline

Definition at line 1263 of file tr1/cmath.

◆ assoc_laguerrel()

long double std::tr1::assoc_laguerrel ( unsigned int  __n,
unsigned int  __m,
long double  __x 
)
inline

Definition at line 1267 of file tr1/cmath.

◆ assoc_legendre()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::assoc_legendre ( unsigned int  __l,
unsigned int  __m,
_Tp  __x 
)
inline

5.2.1.2 Associated Legendre functions.

Definition at line 1292 of file tr1/cmath.

◆ assoc_legendref()

float std::tr1::assoc_legendref ( unsigned int  __l,
unsigned int  __m,
float  __x 
)
inline

Definition at line 1282 of file tr1/cmath.

◆ assoc_legendrel()

long double std::tr1::assoc_legendrel ( unsigned int  __l,
unsigned int  __m,
long double  __x 
)
inline

Definition at line 1286 of file tr1/cmath.

◆ beta()

template<typename _Tpx , typename _Tpy >
__gnu_cxx::__promote_2< _Tpx, _Tpy >::__type std::tr1::beta ( _Tpx  __x,
_Tpy  __y 
)
inline

5.2.1.3 Beta functions.

Definition at line 1309 of file tr1/cmath.

◆ betaf()

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

Definition at line 1299 of file tr1/cmath.

◆ betal()

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

Definition at line 1303 of file tr1/cmath.

◆ comp_ellint_1()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::comp_ellint_1 ( _Tp  __k)
inline

5.2.1.4 Complete elliptic integrals of the first kind.

Definition at line 1326 of file tr1/cmath.

◆ comp_ellint_1f()

float std::tr1::comp_ellint_1f ( float  __k)
inline

Definition at line 1316 of file tr1/cmath.

◆ comp_ellint_1l()

long double std::tr1::comp_ellint_1l ( long double  __k)
inline

Definition at line 1320 of file tr1/cmath.

◆ comp_ellint_2()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::comp_ellint_2 ( _Tp  __k)
inline

5.2.1.5 Complete elliptic integrals of the second kind.

Definition at line 1343 of file tr1/cmath.

◆ comp_ellint_2f()

float std::tr1::comp_ellint_2f ( float  __k)
inline

Definition at line 1333 of file tr1/cmath.

◆ comp_ellint_2l()

long double std::tr1::comp_ellint_2l ( long double  __k)
inline

Definition at line 1337 of file tr1/cmath.

◆ comp_ellint_3()

template<typename _Tp , typename _Tpn >
__gnu_cxx::__promote_2< _Tp, _Tpn >::__type std::tr1::comp_ellint_3 ( _Tp  __k,
_Tpn  __nu 
)
inline

5.2.1.6 Complete elliptic integrals of the third kind.

Definition at line 1360 of file tr1/cmath.

◆ comp_ellint_3f()

float std::tr1::comp_ellint_3f ( float  __k,
float  __nu 
)
inline

Definition at line 1350 of file tr1/cmath.

◆ comp_ellint_3l()

long double std::tr1::comp_ellint_3l ( long double  __k,
long double  __nu 
)
inline

Definition at line 1354 of file tr1/cmath.

◆ conf_hyperg()

template<typename _Tpa , typename _Tpc , typename _Tp >
__gnu_cxx::__promote_3< _Tpa, _Tpc, _Tp >::__type std::tr1::conf_hyperg ( _Tpa  __a,
_Tpc  __c,
_Tp  __x 
)
inline

5.2.1.7 Confluent hypergeometric functions.

Definition at line 1678 of file tr1/cmath.

◆ conf_hypergf()

float std::tr1::conf_hypergf ( float  __a,
float  __c,
float  __x 
)
inline

Definition at line 1668 of file tr1/cmath.

◆ conf_hypergl()

long double std::tr1::conf_hypergl ( long double  __a,
long double  __c,
long double  __x 
)
inline

Definition at line 1672 of file tr1/cmath.

◆ cyl_bessel_i()

template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_i ( _Tpnu  __nu,
_Tp  __x 
)
inline

5.2.1.8 Regular modified cylindrical Bessel functions.

Definition at line 1377 of file tr1/cmath.

◆ cyl_bessel_if()

float std::tr1::cyl_bessel_if ( float  __nu,
float  __x 
)
inline

Definition at line 1367 of file tr1/cmath.

◆ cyl_bessel_il()

long double std::tr1::cyl_bessel_il ( long double  __nu,
long double  __x 
)
inline

Definition at line 1371 of file tr1/cmath.

◆ cyl_bessel_j()

template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_j ( _Tpnu  __nu,
_Tp  __x 
)
inline

5.2.1.9 Cylindrical Bessel functions (of the first kind).

Definition at line 1394 of file tr1/cmath.

◆ cyl_bessel_jf()

float std::tr1::cyl_bessel_jf ( float  __nu,
float  __x 
)
inline

Definition at line 1384 of file tr1/cmath.

◆ cyl_bessel_jl()

long double std::tr1::cyl_bessel_jl ( long double  __nu,
long double  __x 
)
inline

Definition at line 1388 of file tr1/cmath.

◆ cyl_bessel_k()

template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_bessel_k ( _Tpnu  __nu,
_Tp  __x 
)
inline

5.2.1.10 Irregular modified cylindrical Bessel functions.

Definition at line 1411 of file tr1/cmath.

◆ cyl_bessel_kf()

float std::tr1::cyl_bessel_kf ( float  __nu,
float  __x 
)
inline

Definition at line 1401 of file tr1/cmath.

◆ cyl_bessel_kl()

long double std::tr1::cyl_bessel_kl ( long double  __nu,
long double  __x 
)
inline

Definition at line 1405 of file tr1/cmath.

◆ cyl_neumann()

template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type std::tr1::cyl_neumann ( _Tpnu  __nu,
_Tp  __x 
)
inline

5.2.1.11 Cylindrical Neumann functions.

Definition at line 1428 of file tr1/cmath.

◆ cyl_neumannf()

float std::tr1::cyl_neumannf ( float  __nu,
float  __x 
)
inline

Definition at line 1418 of file tr1/cmath.

◆ cyl_neumannl()

long double std::tr1::cyl_neumannl ( long double  __nu,
long double  __x 
)
inline

Definition at line 1422 of file tr1/cmath.

◆ ellint_1()

template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type std::tr1::ellint_1 ( _Tp  __k,
_Tpp  __phi 
)
inline

5.2.1.12 Incomplete elliptic integrals of the first kind.

Definition at line 1445 of file tr1/cmath.

◆ ellint_1f()

float std::tr1::ellint_1f ( float  __k,
float  __phi 
)
inline

Definition at line 1435 of file tr1/cmath.

◆ ellint_1l()

long double std::tr1::ellint_1l ( long double  __k,
long double  __phi 
)
inline

Definition at line 1439 of file tr1/cmath.

◆ ellint_2()

template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type std::tr1::ellint_2 ( _Tp  __k,
_Tpp  __phi 
)
inline

5.2.1.13 Incomplete elliptic integrals of the second kind.

Definition at line 1462 of file tr1/cmath.

◆ ellint_2f()

float std::tr1::ellint_2f ( float  __k,
float  __phi 
)
inline

Definition at line 1452 of file tr1/cmath.

◆ ellint_2l()

long double std::tr1::ellint_2l ( long double  __k,
long double  __phi 
)
inline

Definition at line 1456 of file tr1/cmath.

◆ ellint_3()

template<typename _Tp , typename _Tpn , typename _Tpp >
__gnu_cxx::__promote_3< _Tp, _Tpn, _Tpp >::__type std::tr1::ellint_3 ( _Tp  __k,
_Tpn  __nu,
_Tpp  __phi 
)
inline

5.2.1.14 Incomplete elliptic integrals of the third kind.

Definition at line 1479 of file tr1/cmath.

◆ ellint_3f()

float std::tr1::ellint_3f ( float  __k,
float  __nu,
float  __phi 
)
inline

Definition at line 1469 of file tr1/cmath.

◆ ellint_3l()

long double std::tr1::ellint_3l ( long double  __k,
long double  __nu,
long double  __phi 
)
inline

Definition at line 1473 of file tr1/cmath.

◆ expint()

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

5.2.1.15 Exponential integrals.

Definition at line 1496 of file tr1/cmath.

◆ expintf()

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

Definition at line 1486 of file tr1/cmath.

◆ expintl()

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

Definition at line 1490 of file tr1/cmath.

◆ hermite()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::hermite ( unsigned int  __n,
_Tp  __x 
)
inline

5.2.1.16 Hermite polynomials.

Definition at line 1513 of file tr1/cmath.

◆ hermitef()

float std::tr1::hermitef ( unsigned int  __n,
float  __x 
)
inline

Definition at line 1503 of file tr1/cmath.

◆ hermitel()

long double std::tr1::hermitel ( unsigned int  __n,
long double  __x 
)
inline

Definition at line 1507 of file tr1/cmath.

◆ hyperg()

template<typename _Tpa , typename _Tpb , typename _Tpc , typename _Tp >
__gnu_cxx::__promote_4< _Tpa, _Tpb, _Tpc, _Tp >::__type std::tr1::hyperg ( _Tpa  __a,
_Tpb  __b,
_Tpc  __c,
_Tp  __x 
)
inline

5.2.1.17 Hypergeometric functions.

Definition at line 1695 of file tr1/cmath.

◆ hypergf()

float std::tr1::hypergf ( float  __a,
float  __b,
float  __c,
float  __x 
)
inline

Definition at line 1685 of file tr1/cmath.

◆ hypergl()

long double std::tr1::hypergl ( long double  __a,
long double  __b,
long double  __c,
long double  __x 
)
inline

Definition at line 1689 of file tr1/cmath.

◆ laguerre()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::laguerre ( unsigned int  __n,
_Tp  __x 
)
inline

5.2.1.18 Laguerre polynomials.

Definition at line 1530 of file tr1/cmath.

◆ laguerref()

float std::tr1::laguerref ( unsigned int  __n,
float  __x 
)
inline

Definition at line 1520 of file tr1/cmath.

◆ laguerrel()

long double std::tr1::laguerrel ( unsigned int  __n,
long double  __x 
)
inline

Definition at line 1524 of file tr1/cmath.

◆ legendre()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::legendre ( unsigned int  __n,
_Tp  __x 
)
inline

5.2.1.19 Legendre polynomials.

Definition at line 1547 of file tr1/cmath.

◆ legendref()

float std::tr1::legendref ( unsigned int  __n,
float  __x 
)
inline

Definition at line 1537 of file tr1/cmath.

◆ legendrel()

long double std::tr1::legendrel ( unsigned int  __n,
long double  __x 
)
inline

Definition at line 1541 of file tr1/cmath.

◆ riemann_zeta()

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

5.2.1.20 Riemann zeta function.

Definition at line 1564 of file tr1/cmath.

◆ riemann_zetaf()

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

Definition at line 1554 of file tr1/cmath.

◆ riemann_zetal()

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

Definition at line 1558 of file tr1/cmath.

◆ sph_bessel()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_bessel ( unsigned int  __n,
_Tp  __x 
)
inline

5.2.1.21 Spherical Bessel functions.

Definition at line 1581 of file tr1/cmath.

◆ sph_besself()

float std::tr1::sph_besself ( unsigned int  __n,
float  __x 
)
inline

Definition at line 1571 of file tr1/cmath.

◆ sph_bessell()

long double std::tr1::sph_bessell ( unsigned int  __n,
long double  __x 
)
inline

Definition at line 1575 of file tr1/cmath.

◆ sph_legendre()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_legendre ( unsigned int  __l,
unsigned int  __m,
_Tp  __theta 
)
inline

5.2.1.22 Spherical associated Legendre functions.

Definition at line 1598 of file tr1/cmath.

◆ sph_legendref()

float std::tr1::sph_legendref ( unsigned int  __l,
unsigned int  __m,
float  __theta 
)
inline

Definition at line 1588 of file tr1/cmath.

◆ sph_legendrel()

long double std::tr1::sph_legendrel ( unsigned int  __l,
unsigned int  __m,
long double  __theta 
)
inline

Definition at line 1592 of file tr1/cmath.

◆ sph_neumann()

template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type std::tr1::sph_neumann ( unsigned int  __n,
_Tp  __x 
)
inline

5.2.1.23 Spherical Neumann functions.

Definition at line 1615 of file tr1/cmath.

◆ sph_neumannf()

float std::tr1::sph_neumannf ( unsigned int  __n,
float  __x 
)
inline

Definition at line 1605 of file tr1/cmath.

◆ sph_neumannl()

long double std::tr1::sph_neumannl ( unsigned int  __n,
long double  __x 
)
inline

Definition at line 1609 of file tr1/cmath.