Namespaces
Variants
Views
Actions

Mathematical special functions (since C++17)

From cppreference.com
< cpp‎ | numeric
 
 
 
 

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.

Contents

[edit] Functions

Defined in header <cmath>
associated Laguerre polynomials
(function) [edit]
associated Legendre polynomials
(function) [edit]
(C++17)(C++17)(C++17)
beta function
(function) [edit]
(complete) elliptic integral of the first kind
(function) [edit]
(complete) elliptic integral of the second kind
(function) [edit]
(complete) elliptic integral of the third kind
(function) [edit]
regular modified cylindrical Bessel functions
(function) [edit]
cylindrical Bessel functions (of the first kind)
(function) [edit]
irregular modified cylindrical Bessel functions
(function) [edit]
cylindrical Neumann functions
(function) [edit]
(C++17)(C++17)(C++17)
(incomplete) elliptic integral of the first kind
(function) [edit]
(C++17)(C++17)(C++17)
(incomplete) elliptic integral of the second kind
(function) [edit]
(C++17)(C++17)(C++17)
(incomplete) elliptic integral of the third kind
(function) [edit]
(C++17)(C++17)(C++17)
exponential integral
(function) [edit]
(C++17)(C++17)(C++17)
Hermite polynomials
(function) [edit]
(C++17)(C++17)(C++17)
Legendre polynomials
(function) [edit]
(C++17)(C++17)(C++17)
Laguerre polynomials
(function) [edit]
Riemann zeta function
(function) [edit]
spherical Bessel functions (of the first kind)
(function) [edit]
spherical associated Legendre functions
(function) [edit]
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

  • C++23 standard (ISO/IEC 14882:2023):
  • 28.7.6 Mathematical special functions [sf.cmath]
  • C++20 standard (ISO/IEC 14882:2020):
  • 26.8.6 Mathematical special functions [sf.cmath]
  • C++17 standard (ISO/IEC 14882:2017):
  • 29.9.5 Mathematical special functions [sf.cmath]