§ Software Cross Index
‘✓’ indicates that a software package implements the functions in a section; ‘a’ indicates available functionality through optional or add-on packages; an empty space indicates no known support.
§ A Classification of Software
In the list below we identify four main sources of software for computing special functions. Please see our Software Indexing Policy for rules that govern the indexing of software in the DLMF.
- Research Software.
This is software of narrow scope developed as a byproduct of a research project and subsequently made available at no cost to the public. The software is often meant to demonstrate new numerical methods or software engineering strategies which were the subject of a research project. When developed, the software typically contains capabilities unavailable elsewhere. While the software may be quite capable, it is typically not professionally packaged and its use may require some expertise. The software is typically provided as source code or via a web-based service, and no support is provided.
- Open Source Collections and Systems.
These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.
- Software Associated with Books.
An increasing number of published books have included digital media containing software described in the book. Often, the collection of software covers a fairly broad area. Such software is typically developed by the book author. While it is not professionally packaged, it often provides a useful tool for readers to experiment with the concepts discussed in the book. The software itself is typically not formally supported by its authors.
- Commercial Software.
Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.
§ Software Repositories
The following are web-based software repositories with significant holdings in the area of special functions. Many research software packages are found here, as well as some open source software collections.
- Collected Algorithms of the ACM
Software published by the journal ACM Transactions on Mathematical Software (TOMS).
- Computer Physics Communications Program Library
Software associated with papers published in the journal Computer Physics Communications.
A collection of mathematical software, papers, and databases produced by the numerical analysis research community.
- Guide to Available Mathematical Software
A cross index of mathematical software in use at NIST.