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On athlons, this gives a speedup of 10-20% for tanf() on uniformly distributed args in [-2Pi, 2Pi]. (It only directly applies for 43% of the args and gives a 16-20% speedup for these (more for AXP than A64) and this gives an overall speedup of 10-12% which is all that it should; however, it gives an overall speedup of 17-20% with gcc-3.3 on AXP-A64 by mysteriously effected cases where it isn't executed.) I originally intended to use double precision for all internals of float trig functions and will probably still do this, but benchmarking showed that converting to double precision and back is a pessimization in cases where a simple float precision calculation works, so it may be optimal to switch precisions only when using extra precision is much simpler.
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