Comment #8 on issue 3035 by [email protected]: Math.sin(Math.PI) inaccurate
http://code.google.com/p/v8/issues/detail?id=3035
I think what Kahan says in http://www.cs.berkeley.edu/~wkahan/JAVAhurt.pdf
is relevant. See page 25, section 13:
13 Prevalent Misconceptions about Floating-Point Arithmetic :
1• Floating–point numbers are all at least slightly uncertain.
2• In floating–point arithmetic, every number is a “ Stand–In ” for all
numbers that differ from it in
digits beyond the last digit stored, so “ 3 ” and “ 3.0 E0 ” and “ 3.0 D0
” are all slightly different.
3• Arithmetic much more precise than the data it operates upon is
needless, and wasteful.
Note also that the C99 spec says the math functions should be accurate to
at least 1 ulp over the entire domain.
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