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>> > =2^4-16
>> -1.7763568394003e-015
>
> These all should be zero. It really seems that the 'pow' function
> from the C library is broken.

Maybe "broken" is not the correct word. It seems more to be "imprecise".
Is there any C specification that says that pow(2., 4.) - 64. shall be
*exactly* zero ?