Source code

001/*
002 * $Id: AlgebraicNumberModTest.java 5931 2018-09-23 17:21:33Z kredel $
003 */
004
005package edu.jas.poly;
006
007import java.util.Iterator;
008import java.util.Set;
009import java.util.HashSet;
010
011import junit.framework.Test;
012import junit.framework.TestCase;
013import junit.framework.TestSuite;
014
015import edu.jas.arith.ModInteger;
016import edu.jas.arith.ModIntegerRing;
017
018import edu.jas.structure.Power;
019import edu.jas.structure.NotInvertibleException;
020
021import edu.jas.poly.GenPolynomial;
022import edu.jas.poly.AlgebraicNumber;
023import edu.jas.poly.AlgebraicNumberRing;
024
025
026/**
027 * AlgebraicNumber modular Test using JUnit. 
028 * @author Heinz Kredel
029 */
030
031public class AlgebraicNumberModTest extends TestCase {
032
033    /**
034     * main.
035     */
036    public static void main (String[] args) {
037        junit.textui.TestRunner.run( suite() );
038    }
039
040    /**
041     * Constructs a <CODE>AlgebraicNumberModTest</CODE> object.
042     * @param name String.
043     */
044    public AlgebraicNumberModTest(String name) {
045        super(name);
046    }
047
048    /**
049     * suite.
050     */ 
051    public static Test suite() {
052        TestSuite suite= new TestSuite(AlgebraicNumberModTest.class);
053        return suite;
054    }
055
056    long p = 19;
057    long qp = p;
058
059    ModIntegerRing mpfac;
060    AlgebraicNumberRing<ModInteger> fac;
061    GenPolynomialRing<ModInteger> mfac;
062
063    AlgebraicNumber< ModInteger > a, b, c, d, e;
064
065    int rl = 1; 
066    int kl = 10;
067    int ll = 10;
068    int el = ll;
069    float q = 0.5f;
070
071
072    protected void setUp() {
073        a = b = c = d = e = null;
074        mpfac = new ModIntegerRing(p,true);
075        String[] vars = new String[] { "i" };
076        mfac = new GenPolynomialRing<ModInteger>( mpfac, rl, vars );
077        //        GenPolynomial<ModInteger> mo = mfac.random(kl,ll,el,q);
078        //        while ( mo.isConstant() ) {
079        //           mo = mfac.random(kl,ll,el,q);
080        //        }
081        GenPolynomial<ModInteger> mo = mfac.univariate(0,2);
082        mo = mo.sum( mfac.getONE() ); // x^2 + 1
083        fac = new AlgebraicNumberRing<ModInteger>( mo, true );
084        qp = 1L;
085        for ( int i = 0; i < mo.degree(0); i++ ) {
086            qp = qp * p;
087        }
088        //System.out.println("p = " + p + ", qp = " + qp);
089    }
090
091
092    protected void tearDown() {
093        a = b = c = d = e = null;
094        fac = null;
095    }
096
097
098    /**
099     * Test constructor and toString.
100     */
101    public void testConstruction() {
102        c = fac.getONE();
103        //System.out.println("c = " + c);
104        //System.out.println("c.getVal() = " + c.getVal());
105        assertTrue("length( c ) = 1", c.getVal().length() == 1);
106        assertTrue("isZERO( c )", !c.isZERO() );
107        assertTrue("isONE( c )", c.isONE() );
108
109        d = fac.getZERO();
110        //System.out.println("d = " + d);
111        //System.out.println("d.getVal() = " + d.getVal());
112        assertTrue("length( d ) = 0", d.getVal().length() == 0);
113        assertTrue("isZERO( d )", d.isZERO() );
114        assertTrue("isONE( d )", !d.isONE() );
115    }
116
117
118    /**
119     * Test random polynomial.
120     */
121    public void testRandom() {
122        for (int i = 0; i < 7; i++) {
123            a = fac.random(el);
124            //System.out.println("a = " + a);
125            if ( a.isZERO() || a.isONE() ) {
126                continue;
127            }
128            //fac.random(kl*(i+1), ll+2*i, el+i, q );
129            assertTrue("length( a"+i+" ) <> 0", a.getVal().length() >= 0);
130            assertTrue(" not isZERO( a"+i+" )", !a.isZERO() );
131            assertTrue(" not isONE( a"+i+" )", !a.isONE() );
132        }
133    }
134
135
136    /**
137     * Test addition.
138     */
139    public void testAddition() {
140        a = fac.random(ll);
141        b = fac.random(ll);
142
143        c = a.sum(b);
144        d = c.subtract(b);
145        assertEquals("a+b-b = a",a,d);
146
147        c = a.sum(b);
148        d = b.sum(a);
149        assertEquals("a+b = b+a",c,d);
150
151        c = fac.random(ll);
152        d = c.sum( a.sum(b) );
153        e = c.sum( a ).sum(b);
154        assertEquals("c+(a+b) = (c+a)+b",d,e);
155
156
157        c = a.sum( fac.getZERO() );
158        d = a.subtract( fac.getZERO() );
159        assertEquals("a+0 = a-0",c,d);
160
161        c = fac.getZERO().sum( a );
162        d = fac.getZERO().subtract( a.negate() );
163        assertEquals("0+a = 0+(-a)",c,d);
164    }
165 
166
167    /**
168     * Test object multiplication.
169     */
170    public void testMultiplication() {
171        a = fac.random(ll);
172        b = fac.random(ll);
173        if ( a.isZERO() || b.isZERO() ) {
174            return;
175        }
176        assertTrue("not isZERO( a )", !a.isZERO() );
177        assertTrue("not isZERO( b )", !b.isZERO() );
178
179        c = b.multiply(a);
180        d = a.multiply(b);
181        assertTrue("not isZERO( c )", !c.isZERO() );
182        assertTrue("not isZERO( d )", !d.isZERO() );
183
184        //System.out.println("a = " + a);
185        //System.out.println("b = " + b);
186        e = d.subtract(c);
187        assertTrue("isZERO( a*b-b*a ) " + e, e.isZERO() );
188
189        assertTrue("a*b = b*a", c.equals(d) );
190        assertEquals("a*b = b*a",c,d);
191
192        c = fac.random(ll);
193        //System.out.println("c = " + c);
194        d = a.multiply( b.multiply(c) );
195        e = (a.multiply(b)).multiply(c);
196
197        //System.out.println("d = " + d);
198        //System.out.println("e = " + e);
199
200        //System.out.println("d-e = " + d.subtract(c) );
201
202        assertEquals("a(bc) = (ab)c",d,e);
203        assertTrue("a(bc) = (ab)c", d.equals(e) );
204
205        c = a.multiply( fac.getONE() );
206        d = fac.getONE().multiply( a );
207        assertEquals("a*1 = 1*a",c,d);
208
209
210        c = a.inverse();
211        d = c.multiply(a);
212        //System.out.println("a = " + a);
213        //System.out.println("c = " + c);
214        //System.out.println("d = " + d);
215        assertEquals("a*1/a = 1",fac.getONE(),d);
216
217        try {
218            a = fac.getZERO().inverse();
219        } catch(NotInvertibleException expected) {
220            return;
221        }
222        fail("0 invertible");
223    }
224
225
226    /**
227     * Test distributive law.
228     */
229    public void testDistributive() {
230        a = fac.random( ll );
231        b = fac.random( ll );
232        c = fac.random( ll );
233
234        d = a.multiply( b.sum(c) );
235        e = a.multiply( b ).sum( a.multiply(c) );
236
237        assertEquals("a(b+c) = ab+ac",d,e);
238    }
239
240
241    /**
242     * Test object potentiation.
243     */
244    public void testCharPower() {
245        //System.out.println("fac = " + fac);
246        a = fac.random(6);
247        if ( a.isZERO() ) {
248            return;
249        }
250        assertTrue("not isZERO( a )", !a.isZERO() );
251
252        b = Power.<AlgebraicNumber<ModInteger>> positivePower(a, qp);
253        assertTrue("not isZERO( b )", !b.isZERO() );
254
255        //System.out.println("a = " + a);
256        //System.out.println("b = " + b);
257        c = a.subtract(b);
258        //System.out.println("c = " + c);
259        assertTrue("isZERO( a^(p^n) - a ) " + c, c.isZERO() );
260    }
261
262
263    /**
264     * Test enumerator.
265     */
266    public void testEnumerator() {
267        long s = 1L;
268        for ( int i = 0; i < (int)fac.modul.degree(0); i++ ) {
269            s = s * p;
270        }
271        //System.out.println("s = " + s);
272        long t = 0L;
273        Set<AlgebraicNumber<ModInteger>> elems = new HashSet<AlgebraicNumber<ModInteger>>(49);
274        //Iterator<AlgebraicNumber<ModInteger>> iter = fac.iterator();
275        for ( AlgebraicNumber<ModInteger> an : fac ) {
276            t++;
277            //System.out.println("an = " + an);
278            elems.add(an);
279        }
280        //System.out.println("elems = " + elems);
281        assertTrue("#elems " + s + ", t = " + t, s == t );
282        assertTrue("#elems " + s + ", t = " + elems.size(), s == elems.size() );
283    }
284
285}