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» Prescaled Integer Division
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89
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ARC
2012
Springer
256views Hardware» more  ARC 2012»
13 years 5 months ago
Table-Based Division by Small Integer Constants
Computing cores to be implemented on FPGAs may involve divisions by small integer constants in fixed or floating point. This article presents a family of architectures addressing...
Florent de Dinechin, Laurent-Stéphane Didie...
TC
2011
14 years 4 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
JSC
2011
99views more  JSC 2011»
14 years 11 days 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
77
Voted
ARITH
2003
IEEE
15 years 2 months ago
A New Iterative Structure for Hardware Division: The Parallel Paths Algorithm
This paper presents a new approach to hardware division—the parallel paths algorithm. In this approach, prescaling allows the division recurrence to be implemented by three proc...
Eric Rice, Richard Hughey
PLDI
1994
ACM
15 years 1 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