The Generic Multiple-Precision Floating-Point Addition With Exact Rounding (as in the MPFR Library)

Computer Science – Data Structures and Algorithms

Scientific paper

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Conference website at http://cca-net.de/rnc6/

Scientific paper

We study the multiple-precision addition of two positive floating-point
numbers in base 2, with exact rounding, as specified in the MPFR library, i.e.
where each number has its own precision. We show how the best possible
complexity (up to a constant factor that depends on the implementation) can be
obtain.

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