Mathematical special functions (since C++17) (original) (raw)

Mathematical special functions

The Mathematical Special Functions library was originally part of Library TR1 ISO/IEC TR 19768:2007, then published as an independent ISO standard, ISO/IEC 29124:2010, and finally merged to ISO C++ as of C++17.

See Mathematical special functions for the ISO/IEC 29124:2010 version of this library.

[edit] Functions

Defined in header
assoc_laguerreassoc_laguerrefassoc_laguerrel(C++17)(C++17)(C++17) associated Laguerre polynomials (function) [edit]
assoc_legendreassoc_legendrefassoc_legendrel(C++17)(C++17)(C++17) associated Legendre polynomials (function) [edit]
betabetafbetal(C++17)(C++17)(C++17) beta function (function) [edit]
comp_ellint_1comp_ellint_1fcomp_ellint_1l(C++17)(C++17)(C++17) (complete) elliptic integral of the first kind (function) [edit]
comp_ellint_2comp_ellint_2fcomp_ellint_2l(C++17)(C++17)(C++17) (complete) elliptic integral of the second kind (function) [edit]
comp_ellint_3comp_ellint_3fcomp_ellint_3l(C++17)(C++17)(C++17) (complete) elliptic integral of the third kind (function) [edit]
cyl_bessel_icyl_bessel_ifcyl_bessel_il(C++17)(C++17)(C++17) regular modified cylindrical Bessel functions (function) [edit]
cyl_bessel_jcyl_bessel_jfcyl_bessel_jl(C++17)(C++17)(C++17) cylindrical Bessel functions (of the first kind) (function) [edit]
cyl_bessel_kcyl_bessel_kfcyl_bessel_kl(C++17)(C++17)(C++17) irregular modified cylindrical Bessel functions (function) [edit]
cyl_neumanncyl_neumannfcyl_neumannl(C++17)(C++17)(C++17) cylindrical Neumann functions (function) [edit]
ellint_1ellint_1fellint_1l(C++17)(C++17)(C++17) (incomplete) elliptic integral of the first kind (function) [edit]
ellint_2ellint_2fellint_2l(C++17)(C++17)(C++17) (incomplete) elliptic integral of the second kind (function) [edit]
ellint_3ellint_3fellint_3l(C++17)(C++17)(C++17) (incomplete) elliptic integral of the third kind (function) [edit]
expintexpintfexpintl(C++17)(C++17)(C++17) exponential integral (function) [edit]
hermitehermitefhermitel(C++17)(C++17)(C++17) Hermite polynomials (function) [edit]
legendrelegendreflegendrel(C++17)(C++17)(C++17) Legendre polynomials (function) [edit]
laguerrelaguerreflaguerrel(C++17)(C++17)(C++17) Laguerre polynomials (function) [edit]
riemann_zetariemann_zetafriemann_zetal(C++17)(C++17)(C++17) Riemann zeta function (function) [edit]
sph_besselsph_besselfsph_bessell(C++17)(C++17)(C++17) spherical Bessel functions (of the first kind) (function) [edit]
sph_legendresph_legendrefsph_legendrel(C++17)(C++17)(C++17) spherical associated Legendre functions (function) [edit]
sph_neumannsph_neumannfsph_neumannl(C++17)(C++17)(C++17) spherical Neumann functions (function) [edit]

[edit] Notes

The float and long double overloads for math special functions without the "f" or "l" suffix are present in the final draft of ISO/IEC 29124:2010 (N3060), but absent in the published C++17/20 standard (see LWG issue 3234). These overloads were not provided by MSVC STL until VS 2022 17.3.

These functions are unrelated to special member functions of class types.

Feature-test macro Value Std Feature
__cpp_lib_math_special_functions 201603L (C++17) Mathematical special functions

[edit] Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior
LWG 3234(P1467R9) C++17 additional overloads for math special functions were missing these overloads are required

[edit] References