> > Mathematically, you are correct.
> > But Computationaly, you may end up with overlapping part and holes,

> What you mean ? This time I have tested my suggestions.

What I think J'er^ome means is that you assert the distributive law,
ie (a+b)*c=a*c+b*c. This law holds mathemtically but not
numerically. Counterexample:
  (2.01+2.01)*0.5 = 4.02*0.5 = 2.01
  2.01*0.5+2.01*0.5 = 1.00+1.00 = 2.00
or
  2.01*0.5+2.01*0.5 = 1.01+1.01 = 2.02
depending on how you round 1.005. This example uses 3-digit base-10
representation.

  Mark Weyer

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