001/*
002 * $Id: FactorAlgebraicTest.java 5863 2018-07-20 11:13:34Z kredel $
003 */
004
005package edu.jas.ufd;
006
007
008import java.util.SortedMap;
009
010import junit.framework.Test;
011import junit.framework.TestCase;
012import junit.framework.TestSuite;
013
014import edu.jas.arith.BigRational;
015import edu.jas.kern.ComputerThreads;
016import edu.jas.poly.AlgebraicNumber;
017import edu.jas.poly.AlgebraicNumberRing;
018import edu.jas.poly.GenPolynomial;
019import edu.jas.poly.GenPolynomialRing;
020import edu.jas.poly.TermOrder;
021
022
023/**
024 * Factor algebraic tests with JUnit.
025 * @author Heinz Kredel
026 */
027
028public class FactorAlgebraicTest extends TestCase {
029
030
031    /**
032     * main.
033     */
034    public static void main(String[] args) {
035        junit.textui.TestRunner.run(suite());
036    }
037
038
039    /**
040     * Constructs a <CODE>FactorAlgebraicTest</CODE> object.
041     * @param name String.
042     */
043    public FactorAlgebraicTest(String name) {
044        super(name);
045    }
046
047
048    /**
049     */
050    public static Test suite() {
051        TestSuite suite = new TestSuite(FactorAlgebraicTest.class);
052        return suite;
053    }
054
055
056    int rl = 3;
057
058
059    int kl = 5;
060
061
062    int ll = 5;
063
064
065    int el = 3;
066
067
068    float q = 0.3f;
069
070
071    @Override
072    protected void setUp() {
073    }
074
075
076    @Override
077    protected void tearDown() {
078        ComputerThreads.terminate();
079    }
080
081
082    /**
083     * Test dummy for Junit.
084     * 
085     */
086    public void testDummy() {
087    }
088
089
090    /**
091     * Test algebraic factorization.
092     * 
093     */
094    public void testAlgebraicFactorization() {
095
096        TermOrder to = new TermOrder(TermOrder.INVLEX);
097        BigRational cfac = new BigRational(1);
098        String[] alpha = new String[] { "alpha" };
099        String[] vars = new String[] { "z" };
100        GenPolynomialRing<BigRational> pfac = new GenPolynomialRing<BigRational>(cfac, 1, to, alpha);
101        GenPolynomial<BigRational> agen = pfac.univariate(0, 2);
102        agen = agen.sum(pfac.getONE()); // x^2 + 1
103        AlgebraicNumberRing<BigRational> afac = new AlgebraicNumberRing<BigRational>(agen, true);
104        GenPolynomialRing<AlgebraicNumber<BigRational>> apfac = new GenPolynomialRing<AlgebraicNumber<BigRational>>(
105                afac, 1, to, vars); // univariate
106
107        //System.out.println("agen  = " + agen);
108        //System.out.println("afac  = " + afac);
109        //System.out.println("apfac = " + apfac);
110
111        FactorAlgebraic<BigRational> fac = new FactorAlgebraic<BigRational>(afac);
112
113        for (int i = 1; i < 2; i++) {
114            int facs = 0;
115            GenPolynomial<AlgebraicNumber<BigRational>> a;
116            GenPolynomial<AlgebraicNumber<BigRational>> c = apfac.random(2, ll + i, el + i, q);
117            //a = a.monic();
118            GenPolynomial<AlgebraicNumber<BigRational>> b = apfac.random(2, ll + i, el + i, q);
119            if (b.degree() == 0) {
120                b = b.multiply(apfac.univariate(0));
121            }
122            //b = b.monic();
123            //if ( false && ! a.leadingBaseCoefficient().isONE() ) {
124            //continue;
125            //ExpVector e = a.leadingExpVector();
126            //a.doPutToMap(e,cfac.getONE());
127            //}
128            if (c.degree() > 0) {
129                facs++;
130            }
131            if (b.degree() > 0) {
132                facs++;
133            }
134            //a = apfac.univariate(0,2).sum( apfac.getONE() ); // x^2 + 1 
135            //a = a.multiply(a);
136            //a = a.multiply( apfac.univariate(0,2).subtract( apfac.getONE() ) ); // x^2 - 1 
137            //a = apfac.univariate(0,3).subtract( apfac.getONE() ); // x^3 - 1 
138            //a = apfac.univariate(0,3).sum( apfac.getONE() ); // x^3 + 1 
139            a = c.multiply(b);
140            //a = a.monic();
141            //System.out.println("\na = " + a);
142            //System.out.println("b = " + b.monic());
143            //System.out.println("c = " + c.monic());
144
145            SortedMap<GenPolynomial<AlgebraicNumber<BigRational>>, Long> sm = fac.baseFactors(a);
146            //System.out.println("\na   =  " + a);
147            //System.out.println("sm = " + sm);
148            if (sm.size() >= facs) {
149                assertTrue("#facs < " + facs, sm.size() >= facs);
150            } else {
151                System.out.println("sm.size() < facs = " + facs);
152            }
153            boolean t = fac.isFactorization(a, sm);
154            //System.out.println("t        = " + t);
155            assertTrue("prod(factor(a)) = a", t);
156        }
157    }
158
159}