On Tue, 2007-05-01 at 21:06 -0400, Chris King wrote:
> On 5/1/07, skaller <[EMAIL PROTECTED]> wrote:
> > In principle I think 'complex' and 'complex with infinity'
> > are different types, but then complex+inf only has ONE
> > infinity, quite different from 'number too large' which
> > might retain a phase angle.
> 
> Infinity+phase angle is different than "number too large"+phase...
> infinity+phase angle is needed so identities such as angle(K*x) ===
> angle(x) to hold when the scalar K "equals" infinity.  (I use "equals"
> here in the IEEE-754 sense.)  But certainly I agree that a complex
> type where infinities are disallowed (and 1/0 raises an exception)
> would be useful.
> 
> > Felix doesn't box products :)
> 
> Well, you need at least one bit to store the polar/Cartesian flag,
> which means an extra word in the representation, which means a
> structure of odd size... but in polar form we only need a subset of
> the range available in an IEEE double (only positive magnitudes,
> -pi:pi angle) so maybe we can do some trickery there to shove
> everything into two doubles...

You'd use distinct types I think. Consider a matrix of 100 * 100
elements -- the whole matrix would either be polar or cartesian
surely, not individual elements.


-- 
John Skaller <skaller at users dot sf dot net>
Felix, successor to C++: http://felix.sf.net

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