Difference between revisions of "cpp/numeric/special functions"
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===Notes=== | ===Notes=== | ||
Overloads for math special functions are present in the final draft of ISO/IEC 29124:2010 ({{wg21|N3060}}), but absent in C++17/20 standard. These overloads are not provided by some implementations. We intendedly consider the missing of these overloads a defect in C++17/20. See also {{lwg|3234}}. | Overloads for math special functions are present in the final draft of ISO/IEC 29124:2010 ({{wg21|N3060}}), but absent in C++17/20 standard. These overloads are not provided by some implementations. We intendedly consider the missing of these overloads a defect in C++17/20. See also {{lwg|3234}}. | ||
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| + | These functions are unrelated to [[cpp/language/member functions#Special member functions|special member functions]]. | ||
===References=== | ===References=== | ||
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{{ref std | section=29.9.5 | title=Mathematical special functions | id=sf.cmath}} | {{ref std | section=29.9.5 | title=Mathematical special functions | id=sf.cmath}} | ||
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Revision as of 09:05, 30 December 2020
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.
Functions
| Defined in header
<cmath> | |
| (C++17)(C++17)(C++17) |
associated Laguerre polynomials (function) |
| (C++17)(C++17)(C++17) |
associated Legendre polynomials (function) |
| (C++17)(C++17)(C++17) |
beta function (function) |
| (C++17)(C++17)(C++17) |
(complete) elliptic integral of the first kind (function) |
| (C++17)(C++17)(C++17) |
(complete) elliptic integral of the second kind (function) |
| (C++17)(C++17)(C++17) |
(complete) elliptic integral of the third kind (function) |
| (C++17)(C++17)(C++17) |
regular modified cylindrical Bessel functions (function) |
| (C++17)(C++17)(C++17) |
cylindrical Bessel functions (of the first kind) (function) |
| (C++17)(C++17)(C++17) |
irregular modified cylindrical Bessel functions (function) |
| (C++17)(C++17)(C++17) |
cylindrical Neumann functions (function) |
| (C++17)(C++17)(C++17) |
(incomplete) elliptic integral of the first kind (function) |
| (C++17)(C++17)(C++17) |
(incomplete) elliptic integral of the second kind (function) |
| (C++17)(C++17)(C++17) |
(incomplete) elliptic integral of the third kind (function) |
| (C++17)(C++17)(C++17) |
exponential integral (function) |
| (C++17)(C++17)(C++17) |
Hermite polynomials (function) |
| (C++17)(C++17)(C++17) |
Legendre polynomials (function) |
| (C++17)(C++17)(C++17) |
Laguerre polynomials (function) |
| (C++17)(C++17)(C++17) |
Riemann zeta function (function) |
| (C++17)(C++17)(C++17) |
spherical Bessel functions (of the first kind) (function) |
| (C++17)(C++17)(C++17) |
spherical associated Legendre functions (function) |
| (C++17)(C++17)(C++17) |
spherical Neumann functions (function) |
Notes
Overloads for math special functions are present in the final draft of ISO/IEC 29124:2010 (N3060), but absent in C++17/20 standard. These overloads are not provided by some implementations. We intendedly consider the missing of these overloads a defect in C++17/20. See also LWG issue 3234.
These functions are unrelated to special member functions.
References
- 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]
