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» Improved Division by Invariant Integers
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TC
2011
12 years 11 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
PLDI
1994
ACM
13 years 8 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
ARITH
2011
IEEE
12 years 4 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...
David Harvey, Paul Zimmermann
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 8 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
CONCUR
2005
Springer
13 years 10 months ago
Termination Analysis of Integer Linear Loops
Usually, ranking function synthesis and invariant generation oop with integer variables involves abstracting the loop to have real variables. Integer division and modulo arithmetic...
Aaron R. Bradley, Zohar Manna, Henny B. Sipma