BM> Does anyone have any good code for calculating some of the 
ranscendental
 BM> functions (exp, sin, cos would be enough... I already 
 BM> know how I can do ln and
 BM> atan2, and the various hyperbolic and inverse functions 
 BM> can be derived from
 BM> those five) using only 8087 instructions (no library calls, no emulator
 BM> shortcuts, and no 387 FCOS/FSIN instructions)?
You're talking about "approximation theory."  Despite textbooks and manuals 
which will tell you, incorrectly, that these functions are calculated by 
Taylor's theorem, they are in fact calculated by "approximation functions" 
which are usually fitted polynomials.  A good source is Cody and Waite's 1980 
book (forget the title just at the moment).  Also Kenneth Plauger's "The C 
Standard Library."  I have approximation algorithms from these, but they're 
all in QBASIC -- I have no idea how I'd implement them in assembler.
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