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factory
facIrredTest.h
Go to the documentation of this file.
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/*****************************************************************************\
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* Computer Algebra System SINGULAR
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\*****************************************************************************/
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/** @file facIrredTest.h
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*
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* This file provides a probabilistic irreducibility test for polynomials over
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* Z/p.
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*
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* ABSTRACT: irreducibility test based on "Quick and Dirty Irreducibility Test"
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* by v. Bothmer and Schreyer
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*
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* @author Martin Lee
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*
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**/
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/*****************************************************************************/
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#ifndef FAC_IRRED_TEST_H
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#define FAC_IRRED_TEST_H
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// #include "config.h"
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#include "
canonicalform.h
"
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/// evaluate F at k random points in Z/p^n and count the number of zeros that
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/// occur
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///
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/// @return numZeros returns #zeros/trials
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double
numZeros
(
const
CanonicalForm
& F,
///< [in] some poly over Z/p with n
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///< variables
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int
k
///< [in] number of trials
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);
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/*BEGINPUBLIC*/
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/// given some error probIrredTest detects irreducibility or reducibility of F
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/// with confidence level 1-error
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///
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/// @return probIrredTest returns 1 for irreducibility, -1 for reducibility
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/// or 0 if the test is not applicable
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int
FACTORY_PUBLIC
probIrredTest
(
const
CanonicalForm
& F,
///< [in] some poly over Z/p
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double
error
///< [in] 0 < error < 1
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);
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/*ENDPUBLIC*/
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#endif
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canonicalform.h
Header for factory's main class CanonicalForm.
k
int k
Definition:
cfEzgcd.cc:99
CanonicalForm
factory's main class
Definition:
canonicalform.h:86
numZeros
double numZeros(const CanonicalForm &F, int k)
evaluate F at k random points in Z/p^n and count the number of zeros that occur
Definition:
facIrredTest.cc:24
probIrredTest
int FACTORY_PUBLIC probIrredTest(const CanonicalForm &F, double error)
given some error probIrredTest detects irreducibility or reducibility of F with confidence level 1-er...
Definition:
facIrredTest.cc:63
FACTORY_PUBLIC
#define FACTORY_PUBLIC
Definition:
globaldefs.h:25
error
#define error(a)
Definition:
mpr_numeric.cc:966
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