revert to multiplication for radian-degree conversion #4114
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I tried to be a bit too clever (or not clever enough) in 4a5161d by splitting the multiplication when converting between radians and degrees: although this method is correct for 30 degrees, on average it actually gives worse rounding:
This commit reverts to using ordinary multiplication (and so
sind(30) == 0.49999999999999994
).It is possible to do multiplication by irrational numbers with correct rounding, based on splitting the floats into half-precision (see Dekker (1971) for details of half-precision methods), but these methods require more computations. For example:
This approach could be used for any non-float-representable number, however it requires 11 floating point operations (plus a truncation), so is probably not worth it just to get the final digit correct.