On Thu, 2009-02-26 at 11:23 +0100, Michael Käppler wrote:
> Hi all,
> I don't completely understand the way how Duration::Duration(Rational r,
> bool scale) converts a rational number into a note and dots, but
> it's clear that the Completion_heads issue with splitting up breve and
> longa notes was caused by the way << behaves when given a negative
> number as shift-amount. I've tested this and it works perfectly for me.
> I'm a little unsure if this approach works when k gets so low that the
> rightest non-zero bit is shifted out into the nirvana... But for this
> moment I can't imagine cases where this could happen.
Can't happen, AFAICT: by the definition of k, k >= -intlog2(p) and so
-k <= intlog2(p) <= log2(p). Therefore 2^{-k} <= p and so (p >> -k) ==
p*2^k >= 1. That is, you never shift everything away.
Joe
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