id,summary,reporter,owner,description,type,status,milestone,component,version,severity,resolution,keywords,cc
7291,complex atan is not the best it could be,Stephen Montgomery-Smith <stephen@…>,John Maddock,"For complex atan,  when x and y are non-negative, the following formula is rather foolproof:

atanh(z) = 0.25 * log1p(4*x / pow(|z-1|,2)) + 0.5 * I * atan2(2y, (1-x*x-y*y))

where z = x+I*y.  Just handle the few special cases when you get overflow or underflow.

I have implemented a C version at http://people.freebsd.org/~stephen/catrig.c.

Also, email Tom Fairgrieve <tff@cs.utoronto.ca>.  He has an unpublished work by Hull, himself, and Tang, very similar to the work they did on the complex arcsine.",Bugs,closed,To Be Determined,math,Boost 1.52.0,Problem,fixed,,