Special mathematical functions

 

C++

Language

Standard library headers

Concepts

Utilities library

Strings library

Containers library

Algorithms library

Iterators library

Numerics library

Input/output library

Localizations library

Regular expressions library (C++11)

Atomic operations library (C++11)

Thread support library (C++11)

Filesystem library (C++17)

Technical Specifications

 

Technical specifications

Filesystem library (filesystem TS)

Library fundamentals (library fundamentals TS)

Library fundamentals 2 (library fundamentals 2 TS)

Extensions for parallelism (parallelism TS)

Concepts (concepts TS)

Extensions for concurrency (concurrency TS)

Special mathematical functions (special math TR)

 

Mathematical special functions

assoc_laguerreassoc_laguerrefassoc_laguerrel assoc_legendreassoc_legendrefassoc_legendrel betabetafbetal comp_ellint_1comp_ellint_1fcomp_ellint_1l comp_ellint_2comp_ellint_2fcomp_ellint_2l comp_ellint_3comp_ellint_3fcomp_ellint_3l cyl_bessel_icyl_bessel_ifcyl_bessel_il

cyl_bessel_jcyl_bessel_jfcyl_bessel_jl cyl_bessel_kcyl_bessel_kfcyl_bessel_kl cyl_neumanncyl_neumannfcyl_neumannl ellint_1ellint_1fellint_1l ellint_2ellint_2fellint_2l ellint_3ellint_3fellint_3l expintexpintfexpintl

hermitehermitefhermitel laguerrelaguerreflaguerrel legendrelegendreflegendrel riemann_zetariemann_zetafriemann_zetal sph_besselsph_besselfsph_bessell sph_legendresph_legendrefsph_legendrel sph_neumannsph_neumannfsph_neumannl

 

The Special Mathematical Functions library, ISO/IEC TR 29124:2010, specifies extensions to the C++ standard library that include special mathematical functions (originally part of ISO/IEC TR 19768:2007)

This library is directly based on boost.math, which is currently available on more compilers and platforms than this experimental technical report. At the time of this writing (1/2016) the only compiler that announced direct support is gcc, for version 6.0

Non-member functions

Defined in header <cmath>
assoc_laguerreassoc_laguerrefassoc_laguerrel	associated Laguerre polynomials (function)
assoc_legendreassoc_legendrefassoc_legendrel	associated Legendre polynomials (function)
betabetafbetal	beta function (function)
comp_ellint_1comp_ellint_1fcomp_ellint_1l	(complete) elliptic integral of the first kind (function)
comp_ellint_2comp_ellint_2fcomp_ellint_2l	(complete) elliptic integral of the second kind (function)
comp_ellint_3comp_ellint_3fcomp_ellint_3l	(complete) elliptic integral of the third kind (function)
cyl_bessel_icyl_bessel_ifcyl_bessel_il	regular modified cylindrical Bessel functions (function)
cyl_bessel_jcyl_bessel_jfcyl_bessel_jl	cylindrical Bessel functions (of the first kind) (function)
cyl_bessel_kcyl_bessel_kfcyl_bessel_kl	irregular modified cylindrical Bessel functions (function)
cyl_neumanncyl_neumannfcyl_neumannl	cylindrical Neumann functions (function)
ellint_1ellint_1fellint_1l	(incomplete) elliptic integral of the first kind (function)
ellint_2ellint_2fellint_2l	(incomplete) elliptic integral of the second kind (function)
ellint_3ellint_3fellint_3l	(incomplete) elliptic integral of the third kind (function)
expintexpintfexpintl	exponential integral (function)
hermitehermitefhermitel	Hermite polynomials (function)
legendrelegendreflegendrel	Legendre polynomials (function)
laguerrelaguerreflaguerrel	Laguerre polynomials (function)
riemann_zetariemann_zetafriemann_zetal	Riemann zeta function (function)
sph_besselsph_besselfsph_bessell	spherical Bessel functions (of the first kind) (function)
sph_legendresph_legendrefsph_legendrel	spherical associated Legendre functions (function)
sph_neumannsph_neumannfsph_neumannl	spherical Neumann functions (function)

Macros

__STDCPP_MATH_SPEC_FUNCS__	a value of at least 201003L indicates that ISO/IEC TR 29124:2010 is supported (macro constant)