BTW, I posted some FET code earlier that does just that; if there's something wrong with it, please let me know.

Trying your code with these inputs 

print Fishers_Exact::fishers_exact( 989, 9400, 43300, 2400 );

[download]

I get these results: 

P:\test>FET-tlm.pl
0.99999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
9999999999999999999999999999999999999999999999999[... 950 9s truncated
+]
99999999999999999999999999999999952665545273822897512768877675
  1 trial  of _default (   1.385s total), 1.385s/trial

[download]

Now, given that your code needs Math::Pari, and the "simple" solution using that module produced the correct answer in 26ms, I can't help wonder what all that messing around with Stirling and Gosper approximations bought you?

I also think that if you are going to require exporter, you might as well let it do it's job and skip all that autoload stuff. And I personally find that littering your code with a dozen BEGIN{} blocks makes it very hard to follow.

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
Lingua non convalesco, consenesco et abolesco. -- Rule 1 has a caveat! -- Who broke the cabal?
"Science is about questioning the status quo. Questioning authority".
The "good enough" maybe good enough for the now, and perfection maybe unobtainable, but that should not preclude us from striving for perfection, when time, circumstance or desire allow.

In reply to Re^2: Algorithm for cancelling common factors between two lists of multiplicands by BrowserUk
in thread Algorithm for cancelling common factors between two lists of multiplicands by BrowserUk

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