I think that I some point I wanted to support switching btw GMP and MPIR 
and then someone convinced me it was hopeless.
The only supported solution should be to distclean, reconfigure, rebuild.
If that does not work, we should fix it.

As far as error are concerned, I remember that MPIR and GMP behaved 
differently when more memory than possible was tried to be allocated.
And there were a few other discrepancies in the doctests and we decided to 
live with it.

Also note that GMP changed its behavior for some gcd or modular reduction 
computations or something like that btw the 5.x and 6.x series, MPIR did 
not mimick this behavior yet.

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