toms435

toms435, a Fortran77 code which implements ACM toms algorithm 435, which evaluates the modified incomplete Gamma function.

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

Licensing:

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

Languages:

toms435 is available in a Fortran77 version.

Related Data and Programs:

toms435_test

ASA032, a Fortran77 library which evaluates the incomplete Gamma function.

ASA147, a Fortran77 library which evaluates the incomplete Gamma function.

ASA239, a Fortran77 library which evaluates the incomplete Gamma function.

TEST_VALUES, a Fortran77 library which contains routines which return sample values of various functions, including the modified beta function, and the logarithm of the gamma function.

Usage:

value = gaminc ( a, x1, x2, gam )

computes the exponential of X1 times the integral from X1 to X2 of |y|^(A-1) * exp(-y) dy, returning the value as GAMINC. The user must supply in GAM the value of the Gamma function of A.

Reference:

1. Wayne Fullerton,
   Algorithm 435: Modified Incomplete Gamma Function,
   Communications of the ACM,
   Volume 15, Number 11, November 1972, pages 993-995.

Source Code:

• toms435.f, the source code.
• toms435.sh, commands to compile the source code.