In the chi-square patch, I created a root finding utility class. I used the bisection method to provide a default mechanism for computing inverse CDFs. It's driven by a simple Function interface. Check it out and see if it's something you can use or improve.
Here's my take on root finding. Note that BrentSolver uses only inverse quadratic interpolation rather than the full Brent algorithm.
THere are a few issues with accuracy, there should really be a relative accuracy too, as well as some plausiblity checks.
J.Pietschmann
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