toms577


toms577, a MATLAB 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 described and made available on this web page are distributed under the GNU LGPL license.

Languages:

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

Related Data and Programs:

elfun, a MATLAB code which evaluates elliptic integrals and Jacobi elliptic functions cn(), dn(), sn(), by Milan Batista.

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

test_values, a MATLAB code which supplies test values of various mathematical functions.

toms577_test

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:


Last revised on 01 March 2019.