numerical evaluation of quotients of gamma functions
Subject: numerical evaluation of quotients of gamma functions
From: Raymond Toy
Date: Fri, 01 Nov 2013 15:04:47 -0700
>>>>> "Barton" == Barton Willis <willisb at unk.edu> writes:
Barton> I need to numerically evaluate quotients of products of ?gamma functions. ?In order of?preference,
Barton> I would like to?
Barton> (1) avoid overflows, (2) have good accuracy, ?and (3) be fast (much less important). Any
Barton> suggestions?
Use base 2 logs? This might be a little more accurate then base e
logs, but not any slower. Base 2 since floats are base 2, so log(f*2^n)
can be represented in 2 parts very accurately: n + log(f). Base e
logs don't have this simple separation, and for large values you lose
many bits to hold the integer part.
Ray