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ARITH
2011
IEEE

Short Division of Long Integers

8 years 1 months ago
Short Division of Long Integers
—We consider the problem of short division — i.e., approximate quotient — of multiple-precision integers. We present ready-to-implement algorithms that yield an approximation of the quotient, with tight and rigorous error bounds. We exhibit speedups of up to 30% with respect to GMP division with remainder, and up to 10% with respect to GMP short division, with room for further improvements. This work enables one to implement fast correctly rounded division routines in multiple-precision software tools. Keywords-floating-point division, arbitrary precision, GNU MP, GNU MPFR
David Harvey, Paul Zimmermann
Added 12 Dec 2011
Updated 12 Dec 2011
Type Journal
Year 2011
Where ARITH
Authors David Harvey, Paul Zimmermann
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