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.BigRational;
020import edu.jas.poly.GenPolynomial;
021import edu.jas.poly.GenPolynomialRing;
022import edu.jas.poly.GenPolynomialTokenizer;
023import edu.jas.poly.PolynomialList;
024
025
026/**
027 * Groebner base sequential iterative GB tests with JUnit.
028 * @author Heinz Kredel
029 */
030
031public class GroebnerBaseSeqIterTest extends TestCase {
032
033
034    /**
035     * main
036     */
037    public static void main(String[] args) {
038        junit.textui.TestRunner.run(suite());
039    }
040
041
042    /**
043     * Constructs a <CODE>GroebnerBaseSeqIterTest</CODE> object.
044     * @param name String.
045     */
046    public GroebnerBaseSeqIterTest(String name) {
047        super(name);
048    }
049
050
051    /**
052     * suite.
053     */
054    public static Test suite() {
055        TestSuite suite = new TestSuite(GroebnerBaseSeqIterTest.class);
056        return suite;
057    }
058
059
060    GenPolynomialRing<BigRational> fac;
061
062
063    List<GenPolynomial<BigRational>> L, G;
064
065
066    PolynomialList<BigRational> F;
067
068
069    GroebnerBaseAbstract<BigRational> bb;
070
071
072    GenPolynomial<BigRational> a, b, c, d, e;
073
074
075    int rl = 4; //4; //3; 
076
077
078    int kl = 7; // 10
079
080
081    int ll = 7;
082
083
084    int el = 3; // 4
085
086
087    float q = 0.2f; //0.4f
088
089
090    @Override
091    protected void setUp() {
092        BigRational coeff = new BigRational(9);
093        fac = new GenPolynomialRing<BigRational>(coeff, rl);
094        a = b = c = d = e = null;
095        bb = new GroebnerBaseSeqIter<BigRational>();
096    }
097
098
099    @Override
100    protected void tearDown() {
101        a = b = c = d = e = null;
102        fac = null;
103        bb = null;
104    }
105
106
107    /**
108     * Test sequential GBase.
109     */
110    public void testSequentialGBase() {
111        L = new ArrayList<GenPolynomial<BigRational>>();
112
113        a = fac.random(kl, ll, el, q);
114        b = fac.random(kl, ll, el, q);
115        c = fac.random(kl, ll, el, q);
116        d = fac.random(kl, ll, el, q);
117        e = d; //fac.random(kl, ll, el, q );
118
119        if (a.isZERO() || b.isZERO() || c.isZERO() || d.isZERO()) {
120            return;
121        }
122
123        assertTrue("not isZERO( a )", !a.isZERO());
124        L.add(a);
125
126        L = bb.GB(L);
127        assertTrue("isGB( { a } )", bb.isGB(L));
128
129        assertTrue("not isZERO( b )", !b.isZERO());
130        L.add(b);
131        //System.out.println("L = " + L.size() );
132
133        L = bb.GB(L);
134        assertTrue("isGB( { a, b } )", bb.isGB(L));
135
136        assertTrue("not isZERO( c )", !c.isZERO());
137        L.add(c);
138
139        L = bb.GB(L);
140        assertTrue("isGB( { a, b, c } )", bb.isGB(L));
141
142        assertTrue("not isZERO( d )", !d.isZERO());
143        L.add(d);
144
145        L = bb.GB(L);
146        assertTrue("isGB( { a, b, c, d } )", bb.isGB(L));
147
148        assertTrue("not isZERO( e )", !e.isZERO());
149        L.add(e);
150
151        L = bb.GB(L);
152        assertTrue("isGB( { a, b, c, d, e } )", bb.isGB(L));
153    }
154
155
156    /**
157     * Test Trinks7 GBase.
158     */
159    @SuppressWarnings("unchecked")
160    public void testTrinks7GBase() {
161        String exam = "(B,S,T,Z,P,W) L " + "( " + "( 45 P + 35 S - 165 B - 36 ), "
162                        + "( 35 P + 40 Z + 25 T - 27 S ), " + "( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), "
163                        + "( - 9 W + 15 T P + 20 S Z ), " + "( P W + 2 T Z - 11 B**3 ), "
164                        + "( 99 W - 11 B S + 3 B**2 ), " + "( B**2 + 33/50 B + 2673/10000 ) " + ") ";
165        @SuppressWarnings("unused")
166        String exam2 = "(x,y,z) L " + "( " + "( z y**2 + 2 x + 1/2 )" + "( z x**2 - y**2 - 1/2 x )"
167                        + "( -z + y**2 x + 4 x**2 + 1/4 )" + " )";
168
169        Reader source = new StringReader(exam);
170        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
171        try {
172            F = (PolynomialList<BigRational>) 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        //System.out.println("G = " + G);
182        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
183        assertEquals("#GB(Trinks7) == 6", 6, G.size());
184        //PolynomialList<BigRational> trinks = new PolynomialList<BigRational>(F.ring,G);
185        //System.out.println("G = " + trinks);
186    }
187
188
189    /**
190     * Test Trinks7 GBase, syz pair list.
191     */
192    @SuppressWarnings("unchecked")
193    public void testTrinks7GBaseSyz() {
194        GroebnerBase<BigRational> bbs;
195        bbs = new GroebnerBaseSeqIter<BigRational>(new ReductionSeq<BigRational>(),
196                        new OrderedSyzPairlist<BigRational>());
197
198        String exam = "(B,S,T,Z,P,W) L " + "( " + "( 45 P + 35 S - 165 B - 36 ), "
199                        + "( 35 P + 40 Z + 25 T - 27 S ), " + "( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), "
200                        + "( - 9 W + 15 T P + 20 S Z ), " + "( P W + 2 T Z - 11 B**3 ), "
201                        + "( 99 W - 11 B S + 3 B**2 ), " + "( B**2 + 33/50 B + 2673/10000 ) " + ") ";
202        @SuppressWarnings("unused")
203        String exam2 = "(x,y,z) L " + "( " + "( z y**2 + 2 x + 1/2 )" + "( z x**2 - y**2 - 1/2 x )"
204                        + "( -z + y**2 x + 4 x**2 + 1/4 )" + " )";
205
206        Reader source = new StringReader(exam);
207        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
208        try {
209            F = (PolynomialList<BigRational>) parser.nextPolynomialSet();
210        } catch (ClassCastException e) {
211            fail("" + e);
212        } catch (IOException e) {
213            fail("" + e);
214        }
215        //System.out.println("F = " + F);
216
217        G = bbs.GB(F.list);
218        assertTrue("isGB( GB(Trinks7) )", bbs.isGB(G));
219        assertEquals("#GB(Trinks7) == 6", 6, G.size());
220        //PolynomialList<BigRational> trinks = new PolynomialList<BigRational>(F.ring,G);
221        //System.out.println("G = " + trinks);
222        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
223
224        //Reduction<BigRational> rd = new ReductionSeq<BigRational>();
225        //System.out.println("G.contains(F) = " + rd.normalform(G,F.list) );
226    }
227
228
229    /**
230     * Test Trinks7 GBase, min pair list.
231     */
232    @SuppressWarnings("unchecked")
233    public void testTrinks7GBaseMin() {
234        bb = new GroebnerBaseSeqIter<BigRational>(new ReductionSeq<BigRational>(),
235                        new OrderedMinPairlist<BigRational>());
236
237        String exam = "(B,S,T,Z,P,W) L " + "( " + "( 45 P + 35 S - 165 B - 36 ), "
238                        + "( 35 P + 40 Z + 25 T - 27 S ), " + "( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), "
239                        + "( - 9 W + 15 T P + 20 S Z ), " + "( P W + 2 T Z - 11 B**3 ), "
240                        + "( 99 W - 11 B S + 3 B**2 ), " + "( B**2 + 33/50 B + 2673/10000 ) " + ") ";
241        Reader source = new StringReader(exam);
242        GenPolynomialTokenizer parser = new GenPolynomialTokenizer(source);
243        try {
244            F = (PolynomialList<BigRational>) parser.nextPolynomialSet();
245        } catch (ClassCastException e) {
246            fail("" + e);
247        } catch (IOException e) {
248            fail("" + e);
249        }
250        //System.out.println("F = " + F);
251
252        G = bb.GB(F.list);
253        assertTrue("isGB( GB(Trinks7) )", bb.isGB(G));
254        assertEquals("#GB(Trinks7) == 6", 6, G.size());
255        //PolynomialList<BigRational> trinks = new PolynomialList<BigRational>(F.ring,G);
256        //System.out.println("G = " + trinks);
257    }
258
259}