Richard A. O'Keefe comments:
[floating point addition is not associative]]
And this is an excellent example of why violating expected laws is BAD.
The failure of floating point addition to be associative means that there
are umpteen ways of computing polynomials, for example, and doing it
different ways will give you different answers. This is *not* a good
way to write reliable software.
[Then we see the scalar product whose value *may* depend on the ev. order]
I wonder...
Would you say that *no* typical floating-point software is reliable?
Jerzy Karczmarczuk
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