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Essay

Modular Arithmetics

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Issue:

Miscellaneous

 

Written by:

Susan S

 

Date added:

September 16, 2014

 

Level:

University

 

Grade:

A

 

No of pages / words:

2 / 322

 

Was viewed:

5836 times

 

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Essay content:

The true integer value can then be deduced, but also only its sign, in a simple and efficient maner. The main drawback with modular arithmetic is its static nature, because we need to have a bound on the result to be sure that we preserve ourselves from overflows (that can't be detected easily while computing)...
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The smaller this known bound is, the less computations we have to do. We have developed a set of efficient tools to deal with these problems, and we propose a filtered approach, that is, an approximate computation using floating point arithmetic, followed, in the bad case, by a modular computation of the expression of which we know a bound, thanks to the floating point computation we have just done...
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