libstdc++: TR1 Mathematical Special Functions (original) (raw)

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)

A collection of advanced mathematical special functions.

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 1277 of file tr1/cmath.

assoc_laguerref()

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

assoc_laguerrel()

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

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 1294 of file tr1/cmath.

assoc_legendref()

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

assoc_legendrel()

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

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 1311 of file tr1/cmath.

betaf()

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

betal()

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

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 1328 of file tr1/cmath.

comp_ellint_1f()

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

comp_ellint_1l()

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

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 1345 of file tr1/cmath.

comp_ellint_2f()

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

comp_ellint_2l()

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

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 1362 of file tr1/cmath.

comp_ellint_3f()

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

comp_ellint_3l()

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

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 1680 of file tr1/cmath.

conf_hypergf()

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

conf_hypergl()

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

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 1379 of file tr1/cmath.

cyl_bessel_if()

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

cyl_bessel_il()

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

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 1396 of file tr1/cmath.

cyl_bessel_jf()

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

cyl_bessel_jl()

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

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 1413 of file tr1/cmath.

cyl_bessel_kf()

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

cyl_bessel_kl()

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

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 1430 of file tr1/cmath.

cyl_neumannf()

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

cyl_neumannl()

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

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 1447 of file tr1/cmath.

ellint_1f()

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

ellint_1l()

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

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 1464 of file tr1/cmath.

ellint_2f()

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

ellint_2l()

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

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 1481 of file tr1/cmath.

ellint_3f()

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

ellint_3l()

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

expint()

template<typename _Tp >

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

5.2.1.15 Exponential integrals.

Definition at line 1498 of file tr1/cmath.

expintf()

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

expintl()

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

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 1515 of file tr1/cmath.

hermitef()

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

hermitel()

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

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 1697 of file tr1/cmath.

hypergf()

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

hypergl()

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

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 1532 of file tr1/cmath.

laguerref()

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

laguerrel()

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

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 1549 of file tr1/cmath.

legendref()

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

legendrel()

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

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 1566 of file tr1/cmath.

riemann_zetaf()

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

riemann_zetal()

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

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 1583 of file tr1/cmath.

sph_besself()

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

sph_bessell()

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

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 1600 of file tr1/cmath.

sph_legendref()

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

sph_legendrel()

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

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 1617 of file tr1/cmath.

sph_neumannf()

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

sph_neumannl()

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