toms577

toms577, a Python code which evaluates Carlson's elliptic integral functions RC, RD, RF and RJ.

The text of many ACM TOMS algorithms is available online through ACM: https://calgo.acm.org/ or NETLIB: https://www.netlib.org/toms/index.html.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

toms577 is available in a C++ version and a C version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

ELLIPTIC_INTEGRAL, a Python code which evaluates complete elliptic integrals of first, second and third kind, using Carlson's elliptic integral functions.

TEST_VALUES, a Python code which supplies test values of various mathematical functions.

Reference:

1. Bille Carlson,
   Computing Elliptic Integrals by Duplication,
   Numerische Mathematik,
   Volume 33, 1979, pages 1-16.
2. Bille Carlson, Elaine Notis,
   Algorithm 577, Algorithms for Incomplete Elliptic Integrals,
   ACM Transactions on Mathematical Software,
   Volume 7, Number 3, pages 398-403, September 1981.

Source Code:

• toms577.py, the source code.
• toms577.sh, runs all the tests.
• toms577.txt, the output file.