Source code

001/*
002 * $Id$
003 */
004
005package edu.jas.gb;
006
007
008import java.io.IOException;
009import java.io.Reader;
010import java.io.StringReader;
011import java.util.ArrayList;
012import java.util.List;
013
014import junit.framework.Test;
015import junit.framework.TestCase;
016import junit.framework.TestSuite;
017
018
019import edu.jas.arith.BigInteger;
020import edu.jas.arith.BigRational;
021import edu.jas.kern.ComputerThreads;
022import edu.jas.poly.GenPolynomial;
023import edu.jas.poly.GenPolynomialRing;
024import edu.jas.poly.GenPolynomialTokenizer;
025import edu.jas.poly.PolyUtil;
026import edu.jas.poly.PolynomialList;
027
028
029/**
030 * DGroebner base sequential tests with JUnit.
031 * @author Heinz Kredel
032 */
033
034public class DGroebnerBaseSeqTest extends TestCase {
035
036
037    /**
038     * main
039     */
040    public static void main(String[] args) {
041        junit.textui.TestRunner.run(suite());
042    }
043
044
045    /**
046     * Constructs a <CODE>DGroebnerBaseSeqTest</CODE> object.
047     * @param name String.
048     */
049    public DGroebnerBaseSeqTest(String name) {
050        super(name);
051    }
052
053
054    /**
055     * suite.
056     */
057    public static Test suite() {
058        TestSuite suite = new TestSuite(DGroebnerBaseSeqTest.class);
059        return suite;
060    }
061
062
063    GenPolynomialRing<BigInteger> fac;
064
065
066    List<GenPolynomial<BigInteger>> L, G;
067
068
069    PolynomialList<BigInteger> F;
070
071
072    GroebnerBase<BigInteger> bb;
073
074
075    GenPolynomial<BigInteger> a, b, c, d, e;
076
077
078    int rl = 3; //4; //3; 
079
080
081    int kl = 4; //4; 10
082
083
084    int ll = 4;
085
086
087    int el = 3;
088
089
090    float q = 0.2f; //0.4f
091
092
093    @Override
094    protected void setUp() {
095        BigInteger coeff = new BigInteger(9);
096        fac = new GenPolynomialRing<BigInteger>(coeff, rl);
097        a = b = c = d = e = null;
098        bb = new DGroebnerBaseSeq<BigInteger>();
099    }
100
101
102    @Override
103    protected void tearDown() {
104        a = b = c = d = e = null;
105        fac = null;
106        bb = null;
107    }
108
109
110    /**
111     * Test sequential GBase.
112     */
113    public void testSequentialGBase() {
114
115        L = new ArrayList<GenPolynomial<BigInteger>>();
116
117        a = fac.random(kl, ll, el, q); //.abs();
118        b = fac.random(kl, ll, el, q); //.abs();
119        c = fac.random(kl, ll / 2, el, q); //.abs();
120        d = fac.random(kl, ll / 2, el, q); //.abs();
121        e = d; //fac.random(kl, ll, el, q );
122
123        if (a.isZERO() || b.isZERO() || c.isZERO() || d.isZERO()) {
124            return;
125        }
126
127        L.add(a);
128        //System.out.println("    L  = " + L );
129        L = bb.GB(L);
130        //System.out.println("dGB(L) = " + L );
131        assertTrue("isGB( { a } )", bb.isGB(L));
132
133        L.add(b);
134        //System.out.println("    L  = " + L );
135        L = bb.GB(L);
136        //System.out.println("dGB(L) = " + L );
137        assertTrue("isGB( { a, b } )", bb.isGB(L));
138
139        L.add(c);
140        //System.out.println("    L  = " + L );
141        L = bb.GB(L);
142        //System.out.println("dGB(L) = " + L );
143        assertTrue("isGB( { a, b, c } )", bb.isGB(L));
144
145        L.add(d);
146        //System.out.println("    L  = " + L );
147        L = bb.GB(L);
148        //System.out.println("dGB(L) = " + L );
149        assertTrue("isGB( { a, b, c, d } )", bb.isGB(L));
150
151        L.add(e);
152        //System.out.println("    L  = " + L );
153        L = bb.GB(L);
154        //System.out.println("dGB(L) = " + L );
155        assertTrue("isGB( { a, b, c, d, e } )", bb.isGB(L));
156    }
157
158
159    /**
160     * Test Trinks7 GBase over Z.
161     */
162    @SuppressWarnings("unchecked")
163    public void xtestTrinks7GBaseZ() {
164        String exam = "Z(B,S,T,Z,P,W) L " + "( " + "( 45 P + 35 S - 165 B - 36 ), "
165                        + "( 35 P + 40 Z + 25 T - 27 S ), " + "( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), "
166                        + "( - 9 W + 15 T P + 20 S Z ), " + "( P W + 2 T Z - 11 B**3 ), "
167                        + "( 99 W - 11 B S + 3 B**2 ), " + "( 10000 B**2 + 6600 B + 2673 ) " + ") ";
168        Reader source = new StringReader(exam);
169        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
170        try {
171            F = (PolynomialList<BigInteger>) parser.nextPolynomialSet();
172        } catch (ClassCastException e) {
173            fail("" + e);
174        } catch (IOException e) {
175            fail("" + e);
176        }
177        System.out.println("F = " + F);
178
179        G = bb.GB(F.list);
180        PolynomialList<BigInteger> trinks = new PolynomialList<BigInteger>(F.ring, G);
181        System.out.println("G = " + trinks);
182        System.out.println("G.size() = " + G.size());
183        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
184        //assertEquals("#GB(Trinks7) == 6", 6, G.size() );
185    }
186
187
188    /**
189     * Test Trinks7 GBase over Z(B).
190     */
191    @SuppressWarnings("unchecked")
192    public void xtestTrinks7GBaseZ_B() {
193        String exam = "IntFunc{ B } (S,T,Z,P,W) G " + "( " + "( { 45 } P + { 35 } S - { 165 B } - { 36 } ), "
194                        + "( { 35 } P + { 40 } Z + { 25 } T - { 27 } S ), "
195                        + "( { 15 } W + { 25 } S P + { 30 } Z - { 18 } T - { 165 B**2 } ), "
196                        + "( { - 9 } W + { 15 } T P + { 20 } S Z ), " + "( P W + { 2 } T Z - { 11 B**3 } ), "
197                        + "( { 99 } W - { 11 B } S + { 3 B**2 } ), " + "( { 10000 B**2 + 6600 B + 2673 } ) "
198                        + ") ";
199        Reader source = new StringReader(exam);
200        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
201        DGroebnerBaseSeq<GenPolynomial<BigRational>> bb = new DGroebnerBaseSeq<GenPolynomial<BigRational>>();
202        PolynomialList<GenPolynomial<BigRational>> F = null;
203        List<GenPolynomial<GenPolynomial<BigRational>>> G = null;
204        try {
205            F = (PolynomialList<GenPolynomial<BigRational>>) parser.nextPolynomialSet();
206        } catch (ClassCastException e) {
207            fail("" + e);
208        } catch (IOException e) {
209            fail("" + e);
210        }
211        System.out.println("F = " + F);
212
213        List<GenPolynomial<GenPolynomial<BigRational>>> Fp = new ArrayList<GenPolynomial<GenPolynomial<BigRational>>>(
214                        F.list.size());
215        for (GenPolynomial<GenPolynomial<BigRational>> p : F.list) {
216            p = PolyUtil.<BigRational> monic(p);
217            Fp.add(p);
218        }
219        //System.out.println("Fp = " + Fp);
220        G = bb.GB(Fp);
221        //System.out.println("G = " + G);
222
223        List<GenPolynomial<GenPolynomial<BigRational>>> Gp = new ArrayList<GenPolynomial<GenPolynomial<BigRational>>>(
224                        F.list.size());
225        for (GenPolynomial<GenPolynomial<BigRational>> p : G) {
226            p = PolyUtil.<BigRational> monic(p);
227            Gp.add(p);
228        }
229        PolynomialList<GenPolynomial<BigRational>> trinks = new PolynomialList<GenPolynomial<BigRational>>(
230                        F.ring, Gp);
231        System.out.println("G = " + trinks);
232        System.out.println("G.size() = " + Gp.size());
233        ComputerThreads.terminate();
234        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
235        //assertEquals("#GB(Trinks7) == 1", 1, G.size() );
236    }
237
238}