Special mathematical functions

 

C++

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Technical specifications

Symbols index

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Experimental

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Extensions for parallelism 2 (parallelism TS v2)

Extensions for concurrency (concurrency TS)

Extensions for concurrency 2 (concurrency TS v2)

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Reflection (reflection TS)

Mathematical special functions (special functions TR)

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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)