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» Division by Invariant Integers using Multiplication
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PLDI
1994
ACM
13 years 9 months ago
Division by Invariant Integers using Multiplication
Integer division remains expensive on today's processors as the cost of integer multiplication declines. We present code sequences for division by arbitrary nonzero integer c...
Torbjörn Granlund, Peter L. Montgomery
TC
2011
12 years 12 months ago
Improved Division by Invariant Integers
—This paper considers the problem of dividing a two-word integer by a single-word integer, together with a few extensions and applications. Due to lack of efficient division ins...
Niels Moller, Torbjörn Granlund
EUROPAR
1997
Springer
13 years 9 months ago
Using the Parallel Karatsuba Algorithm for Long Integer Multiplication and Division
We experiment with sequential and parallel versions of the Karatsuba multiplication algorithm implemented under the paclib computer algebra system on a Sequent Symmetry shared-memo...
Tudor Jebelean
ARITH
2005
IEEE
13 years 10 months ago
N-Bit Unsigned Division via N-Bit Multiply-Add
Integer division on modern processors is expensive compared to multiplication. Previous algorithms for performing unsigned division by an invariant divisor, via reciprocal approxi...
Arch D. Robison
JSC
2011
99views more  JSC 2011»
12 years 7 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce