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 * EGroebner base sequential tests with JUnit.
031 * @author Heinz Kredel
032 */
033
034public class EGroebnerBaseSeqTest extends TestCase {
035
036
037
038    /**
039     * main
040     */
041    public static void main(String[] args) {
042        junit.textui.TestRunner.run(suite());
043    }
044
045
046    /**
047     * Constructs a <CODE>EGroebnerBaseSeqTest</CODE> object.
048     * @param name String.
049     */
050    public EGroebnerBaseSeqTest(String name) {
051        super(name);
052    }
053
054
055    /**
056     * suite.
057     */
058    public static Test suite() {
059        TestSuite suite = new TestSuite(EGroebnerBaseSeqTest.class);
060        return suite;
061    }
062
063
064    GenPolynomialRing<BigInteger> fac;
065
066
067    List<GenPolynomial<BigInteger>> L, G;
068
069
070    PolynomialList<BigInteger> F;
071
072
073    GroebnerBase<BigInteger> bb;
074
075
076    GenPolynomial<BigInteger> a, b, c, d, e;
077
078
079    int rl = 3; //4; //3; 
080
081
082    int kl = 4; //4; 10
083
084
085    int ll = 4;
086
087
088    int el = 3;
089
090
091    float q = 0.2f; //0.4f
092
093
094    @Override
095    protected void setUp() {
096        BigInteger coeff = new BigInteger(9);
097        fac = new GenPolynomialRing<BigInteger>(coeff, rl);
098        a = b = c = d = e = null;
099        bb = new EGroebnerBaseSeq<BigInteger>();
100    }
101
102
103    @Override
104    protected void tearDown() {
105        a = b = c = d = e = null;
106        fac = null;
107        bb = null;
108    }
109
110
111    /**
112     * Test sequential GBase.
113     */
114    public void testSequentialGBase() {
115
116        L = new ArrayList<GenPolynomial<BigInteger>>();
117
118        a = fac.random(kl, ll, el, q).abs();
119        b = fac.random(kl, ll, el, q).abs();
120        c = fac.random(kl, ll / 2, el, q).abs();
121        d = fac.random(kl, ll / 2, el, q).abs();
122        e = d; //fac.random(kl, ll, el, q );
123
124        if (a.isZERO() || b.isZERO() || c.isZERO() || d.isZERO()) {
125            return;
126        }
127
128        L.add(a);
129        //System.out.println("    L  = " + L );
130        L = bb.GB(L);
131        //System.out.println("eGB(L) = " + L );
132        assertTrue("isGB( { a } )", bb.isGB(L));
133
134        L.add(b);
135        //System.out.println("    L  = " + L );
136        L = bb.GB(L);
137        //System.out.println("eGB(L) = " + L );
138        assertTrue("isGB( { a, b } )", bb.isGB(L));
139
140        L.add(c);
141        //System.out.println("    L  = " + L );
142        L = bb.GB(L);
143        //System.out.println("eGB(L) = " + L );
144        assertTrue("isGB( { a, b, c } )", bb.isGB(L));
145
146        L.add(d);
147        //System.out.println("    L  = " + L );
148        L = bb.GB(L);
149        //System.out.println("eGB(L) = " + L );
150        assertTrue("isGB( { a, b, c, d } )", bb.isGB(L));
151
152        L.add(e);
153        //System.out.println("    L  = " + L );
154        L = bb.GB(L);
155        //System.out.println("eGB(L) = " + L );
156        assertTrue("isGB( { a, b, c, d, e } )", bb.isGB(L));
157    }
158
159
160    /**
161     * Test Trinks7 GBase over Z.
162     */
163    @SuppressWarnings("unchecked")
164    public void xtestTrinks7GBaseZ() { // needs 20 sec
165        String exam = "Z(B,S,T,Z,P,W) L " + "( " + "( 45 P + 35 S - 165 B - 36 ), "
166                        + "( 35 P + 40 Z + 25 T - 27 S ), " + "( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), "
167                        + "( - 9 W + 15 T P + 20 S Z ), " + "( P W + 2 T Z - 11 B**3 ), "
168                        + "( 99 W - 11 B S + 3 B**2 ), " + "( 10000 B**2 + 6600 B + 2673 ) " + ") ";
169        Reader source = new StringReader(exam);
170        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
171        try {
172            F = (PolynomialList<BigInteger>) parser.nextPolynomialSet();
173        } catch (ClassCastException e) {
174            fail("" + e);
175        } catch (IOException e) {
176            fail("" + e);
177        }
178        System.out.println("F = " + F);
179
180        G = bb.GB(F.list);
181        PolynomialList<BigInteger> trinks = new PolynomialList<BigInteger>(F.ring, G);
182        System.out.println("G = " + trinks);
183        System.out.println("G.size() = " + G.size());
184        assertTrue("isGB( eGB(Trinks7) )", bb.isGB(G));
185        //assertEquals("#GB(Trinks7) == 44", 44, G.size() );
186    }
187
188
189    /**
190     * Test Trinks7 GBase over Z(B).
191     */
192    @SuppressWarnings("unchecked")
193    public void xtestTrinks7GBaseZ_B() {
194        String exam = "IntFunc{ B } (S,T,Z,P,W) G " + "( " + "( { 45 } P + { 35 } S - { 165 B } - { 36 } ), "
195                        + "( { 35 } P + { 40 } Z + { 25 } T - { 27 } S ), "
196                        + "( { 15 } W + { 25 } S P + { 30 } Z - { 18 } T - { 165 B**2 } ), "
197                        + "( { - 9 } W + { 15 } T P + { 20 } S Z ), " + "( P W + { 2 } T Z - { 11 B**3 } ), "
198                        + "( { 99 } W - { 11 B } S + { 3 B**2 } ), " + "( { 10000 B**2 + 6600 B + 2673 } ) "
199                        + ") ";
200        Reader source = new StringReader(exam);
201        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
202        EGroebnerBaseSeq<GenPolynomial<BigRational>> bb = new EGroebnerBaseSeq<GenPolynomial<BigRational>>();
203        PolynomialList<GenPolynomial<BigRational>> F = null;
204        List<GenPolynomial<GenPolynomial<BigRational>>> G = null;
205        try {
206            F = (PolynomialList<GenPolynomial<BigRational>>) parser.nextPolynomialSet();
207        } catch (ClassCastException e) {
208            fail("" + e);
209        } catch (IOException e) {
210            fail("" + e);
211        }
212        System.out.println("F = " + F);
213
214        List<GenPolynomial<GenPolynomial<BigRational>>> Fp = new ArrayList<GenPolynomial<GenPolynomial<BigRational>>>(
215                        F.list.size());
216        for (GenPolynomial<GenPolynomial<BigRational>> p : F.list) {
217            p = PolyUtil.<BigRational> monic(p);
218            Fp.add(p);
219        }
220        //System.out.println("Fp = " + Fp);
221        G = bb.GB(Fp);
222        //System.out.println("G = " + G);
223
224        List<GenPolynomial<GenPolynomial<BigRational>>> Gp = new ArrayList<GenPolynomial<GenPolynomial<BigRational>>>(
225                        F.list.size());
226        for (GenPolynomial<GenPolynomial<BigRational>> p : G) {
227            p = PolyUtil.<BigRational> monic(p);
228            Gp.add(p);
229        }
230        PolynomialList<GenPolynomial<BigRational>> trinks = new PolynomialList<GenPolynomial<BigRational>>(
231                        F.ring, Gp);
232        System.out.println("G = " + trinks);
233        System.out.println("G.size() = " + G.size());
234        ComputerThreads.terminate();
235
236        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
237        //assertEquals("#GB(Trinks7) == 1", 1, G.size() );
238    }
239
240}