toms179
toms179,
a Python code which
implements ACM TOMS algorithm 179, for evaluating the modified
Beta function.
The original algorithm was published in the Algol language.
Shortly therafter, a distinct Fortran77 algorithm was published
as a "remark" to the original algorithm. A few modifications to
the Fortran77 program were proposed in a subsequent "remark".
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.
Usage:
prob = mdbeta ( x, p, q )
where
-
x is the point of evaluation;
-
p and q are parameters;
-
prob, (output), is the computed probability;
Licensing:
The information on this web page is distributed under the MIT license.
Languages:
toms179 is available in
a C version and
a C++ version and
a Fortran90 version and
a MATLAB version and
an Octave version and
a Python version.
Related Data and Programs:
test_values,
a Python code which
contains routines which return sample values of various functions,
including the modified beta function, and the logarithm of the
gamma function.
Reference:
-
Nancy Bosten, EL Battiste,
Remark on Algorithm 179:
Incomplete Beta Ratio,
Communications of the ACM,
Volume 17, Number 3, March 1974, pages 156-157.
-
William Cody, Kenneth Hillstrom,
Chebyshev Approximations for the Natural Logarithm of the
Gamma Function,
Mathematics of Computation,
Volume 21, Number 98, April 1967, pages 198-203.
-
John Hart, Ward Cheney, Charles Lawson, Hans Maehly,
Charles Mesztenyi, John Rice, Henry Thacher,
Christoph Witzgall,
Computer Approximations,
Wiley, 1968,
LC: QA297.C64.
-
Oliver Ludwig,
Algorithm 179:
Incomplete Beta Ratio,
Communications of the ACM,
Volume 6, Number 6, June 1963, page 314.
-
Malcolm Pike, Jennie SooHoo,
Remark on Algorithm 179:
Incomplete Beta Ratio,
ACM Transactions on Mathematical Software,
Volume 2, Number 2, June 1976, pages 207-208.
Source Code:
Last revised on 18 August 2015.