toms708

toms708, a Fortran77 code which computes the Incomplete Beta Function ratio Ix(a,b) by Armido Didonato, Alfred Morris, Jr.

The original, true, correct version of ACM toms Algorithm 708 is available through ACM: https://www.acm.org/pubs/calgo or NETLIB: http://www.netlib.org/toms/index.html.

Licensing:

The information on this web page is distributed under the MIT license

Languages:

toms708 is available in a Fortran77 version and a Fortran90 version and a Java version.

Related Data and Programs:

toms708_test

asa063, a Fortran77 code which evaluates the incomplete Beta function.

asa109, a Fortran77 code which inverts the incomplete Beta function.

asa226, a Fortran77 code which evaluates the CDF of the noncentral Beta distribution.

asa310, a Fortran77 code which computes the CDF of the noncentral Beta distribution.

beta_nc, a Fortran90 code which evaluates the CDF of the noncentral Beta distribution.

test_values, a Fortran77 code which stores a few values of various mathematical functions.

toms179, a Fortran77 code which approximates the incomplete Beta function.

Author:

Original Fortran77 version by Armido Didonato, Alfred Morris. This version by John Burkardt.

Reference:

1. Barry Brown, Lawrence Levy,
   Certification of Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios,
   ACM Transactions on Mathematical Software,
   Volume 20, Number 3, 1994, pages 393-397.
2. Armido Didonato, Alfred Morris,
   Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios,
   ACM Transactions on Mathematical Software,
   Volume 18, Number 3, 1992, pages 360-373.

Source Code:

• toms708.f, the source code;
• toms708.sh, commands to compile the source code;