Does anyone know off-hand which normal arguments cause a subnormal result for a correctly rounded double-precision sin or cos?
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I think round-to-nearest sine should make the result the same as the argument, without checking. It shouldn't even be close.
I believe to remember that transcendental functions may always be off by up to one ULP. But maybe that's nonsense, I would have to check..
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The usual implementations trade just enough memory and speed for x ULP where x is chosen between 0.501 and 2 (but quite easy to do <1).
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For transcendental functions, IEEE 754 mandates no particular x (which would have discouraged research for better values of x at low cost)
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