asa109, a FORTRAN90 code which "inverts" the incomplete Beta function, by Cran, Martin and Thomas.
Given a value of the incomplete Beta function, it can determine the argument that produced that value.
The code is Applied Statistics Algorithm 109.
The computer code and data files described and made available on this web page are distributed under the MIT license
asa109 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
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Original FORTRAN77 version by GW Cran, KJ Martin, GE Thomas; FORTRAN90 version by John Burkardt.