Source code

001/*
002 * $Id: RatGenSolvablePolynomialTest.java 3789 2011-10-01 18:54:43Z kredel $
003 */
004
005package edu.jas.poly;
006
007import junit.framework.Test;
008import junit.framework.TestCase;
009import junit.framework.TestSuite;
010
011import org.apache.log4j.BasicConfigurator;
012
013import edu.jas.arith.BigRational;
014
015
016/**
017 * BigRational coefficients GenSolvablePolynomial tests with JUnit.
018 * @author Heinz Kredel.
019 */
020
021public class RatGenSolvablePolynomialTest extends TestCase {
022
023/**
024 * main.
025 */
026   public static void main (String[] args) {
027          BasicConfigurator.configure();
028          junit.textui.TestRunner.run( suite() );
029   }
030
031/**
032 * Constructs a <CODE>RatGenSolvablePolynomialTest</CODE> object.
033 * @param name String.
034 */
035   public RatGenSolvablePolynomialTest(String name) {
036          super(name);
037   }
038
039/**
040 */ 
041 public static Test suite() {
042     TestSuite suite= new TestSuite(RatGenSolvablePolynomialTest.class);
043     return suite;
044   }
045
046
047   GenSolvablePolynomial<BigRational> a;
048   GenSolvablePolynomial<BigRational> b;
049   GenSolvablePolynomial<BigRational> c;
050   GenSolvablePolynomial<BigRational> d;
051   GenSolvablePolynomial<BigRational> e;
052   GenSolvablePolynomial<BigRational> f;
053   GenSolvablePolynomial<BigRational> x1;
054   GenSolvablePolynomial<BigRational> x2;
055
056   int rl = 5; 
057   int kl = 10;
058   int ll = 5;
059   int el = 3;
060   float q = 0.5f;
061
062   RelationTable<BigRational> table;
063   GenSolvablePolynomialRing<BigRational> ring;
064   BigRational cfac;
065
066   protected void setUp() {
067       cfac = new BigRational(1);
068       ring = new GenSolvablePolynomialRing<BigRational>(cfac,rl);
069       table = ring.table;
070       a = b = c = d = e = null;
071   }
072
073   protected void tearDown() {
074       table = null;
075       ring = null;
076       a = b = c = d = e = null;
077   }
078
079
080/**
081 * Test constructor and toString.
082 * 
083 */
084 public void testConstructor() {
085     a = new GenSolvablePolynomial<BigRational>(ring);
086     assertTrue("length( a ) = 0", a.length() == 0);
087     assertTrue("isZERO( a )", a.isZERO() );
088     assertTrue("isONE( a )", !a.isONE() );
089
090     c = ring.getONE();
091     assertTrue("length( c ) = 1", c.length() == 1);
092     assertTrue("isZERO( c )", !c.isZERO() );
093     assertTrue("isONE( c )", c.isONE() );
094
095     d = ring.getZERO();
096     assertTrue("length( d ) = 0", d.length() == 0);
097     assertTrue("isZERO( d )", d.isZERO() );
098     assertTrue("isONE( d )", !d.isONE() );
099 }
100
101
102/**
103 * Test random polynomial.
104 * 
105 */
106 public void testRandom() {
107     assertTrue("isCommutative()",ring.isCommutative());
108
109     for (int i = 0; i < 2; i++) {
110         // a = ring.random(ll+2*i);
111         a = ring.random(kl*(i+1), ll+2*i, el+i, q );
112         assertTrue("length( a"+i+" ) <> 0", a.length() >= 0);
113         assertTrue(" not isZERO( a"+i+" )", !a.isZERO() );
114         assertTrue(" not isONE( a"+i+" )", !a.isONE() );
115     }
116 }
117
118
119/**
120 * Test addition.
121 * 
122 */
123 public void testAddition() {
124
125     a = ring.random(kl, ll, el, q );
126
127     c = (GenSolvablePolynomial<BigRational>)a.subtract(a);
128     assertTrue("a-a = 0", c.isZERO() );
129
130     b = (GenSolvablePolynomial<BigRational>)a.sum(a);
131     c = (GenSolvablePolynomial<BigRational>)b.subtract(a);
132
133     assertEquals("a+a-a = a",c,a);
134     assertTrue("a+a-a = a", c.equals(a) );
135
136     b = ring.random(kl, ll, el, q );
137     c = (GenSolvablePolynomial<BigRational>)b.sum(a);
138     d = (GenSolvablePolynomial<BigRational>)a.sum(b);
139
140     assertEquals("a+b = b+a",c,d);
141     assertTrue("a+b = b+a", c.equals(d) );
142
143     c = ring.random(kl, ll, el, q );
144     d = (GenSolvablePolynomial<BigRational>)a.sum(b.sum(c));
145     e = (GenSolvablePolynomial<BigRational>)a.sum(b).sum(c);
146
147     assertEquals("a+(b+c) = (a+b)+c",d,e);
148     assertTrue("a+(b+c) = (a+b)+c", d.equals(e) );
149
150     ExpVector u = ExpVector.EVRAND(rl,el,q);
151     BigRational x = cfac.random(kl);
152
153     b = ring.getONE().multiply( x, u);
154     c = (GenSolvablePolynomial<BigRational>)a.sum(b);
155     d = (GenSolvablePolynomial<BigRational>)a.sum(x,u);
156     assertEquals("a+p(x,u) = a+(x,u)",c,d);
157
158     c = (GenSolvablePolynomial<BigRational>)a.subtract(b);
159     d = (GenSolvablePolynomial<BigRational>)a.subtract(x,u);
160     assertEquals("a-p(x,u) = a-(x,u)",c,d);
161
162     a = ring.getZERO();
163     b = ring.getONE().multiply( x, u);
164     c = (GenSolvablePolynomial<BigRational>)b.sum(a);
165     d = (GenSolvablePolynomial<BigRational>)a.sum(x,u);
166     assertEquals("a+p(x,u) = a+(x,u)",c,d);
167
168     c = (GenSolvablePolynomial<BigRational>)a.subtract(b);
169     d = (GenSolvablePolynomial<BigRational>)a.subtract(x,u);
170     assertEquals("a-p(x,u) = a-(x,u)",c,d);
171 }
172
173
174/**
175 * Test object multiplication.
176 * 
177 */
178
179 public void testMultiplication() {
180
181     a = ring.random(kl, ll, el, q );
182     assertTrue("not isZERO( a )", !a.isZERO() );
183     //a = RatGenSolvablePolynomial.DIRRAS(1, kl, 4, el, q );
184
185     b = ring.random(kl, ll, el, q );
186     assertTrue("not isZERO( b )", !b.isZERO() );
187
188     c = b.multiply(a);
189     d = a.multiply(b);
190     assertTrue("not isZERO( c )", !c.isZERO() );
191     assertTrue("not isZERO( d )", !d.isZERO() );
192
193     e = (GenSolvablePolynomial<BigRational>)d.subtract(c);
194     assertTrue("isZERO( a*b-b*a ) " + e, e.isZERO() );
195
196     assertEquals("a*b = b*a",c,d);
197     assertTrue("a*b = b*a", c.equals(d) );
198
199     c = ring.random(kl, ll, el, q );
200     d = a.multiply( b.multiply(c) );
201     e = (a.multiply(b)).multiply(c);
202
203     assertEquals("a(bc) = (ab)c",d,e);
204     assertTrue("a(bc) = (ab)c", d.equals(e) );
205
206     BigRational x = a.leadingBaseCoefficient().inverse();
207     c = (GenSolvablePolynomial<BigRational>)a.monic();
208     d = a.multiply(x);
209     assertEquals("a.monic() = a(1/ldcf(a))",c,d);
210
211     ExpVector u = ring.evzero;
212     BigRational y = b.leadingBaseCoefficient().inverse();
213     c = (GenSolvablePolynomial<BigRational>)b.monic();
214     d = b.multiply(y,u);
215     assertEquals("b.monic() = b(1/ldcf(b))",c,d);
216
217     e = ring.getONE().multiply(y,u);
218     d = b.multiply(e);
219     assertEquals("b.monic() = b(1/ldcf(b))",c,d);
220
221     d = e.multiply(b);
222     assertEquals("b.monic() = (1/ldcf(b) (0))*b",c,d);
223 }
224
225
226/**
227 * Test Weyl polynomials.
228 * 
229 */
230
231 public void testWeyl() {
232
233     int rloc = 4;
234     ring = new GenSolvablePolynomialRing<BigRational>(cfac,rloc);
235
236     WeylRelations<BigRational> wl = new WeylRelations<BigRational>(ring);
237     wl.generate();
238     table = ring.table;
239     //System.out.println("table = " + table);
240     //System.out.println("ring = " + ring);
241
242     assertFalse("isCommutative()",ring.isCommutative());
243     assertTrue("isAssociative()",ring.isAssociative());
244
245     a = ring.random(kl, ll, el, q );
246     assertTrue("not isZERO( a )", !a.isZERO() );
247     //System.out.println("a = " + a);
248
249     b = ring.random(kl, ll, el, q );
250     assertTrue("not isZERO( b )", !b.isZERO() );
251     //System.out.println("b = " + b);
252
253
254     // non commutative
255     c = b.multiply(a);
256     d = a.multiply(b);
257     //System.out.println("c = " + c);
258     //System.out.println("d = " + d);
259     assertTrue("not isZERO( c )", !c.isZERO() );
260     assertTrue("not isZERO( d )", !d.isZERO() );
261
262     e = (GenSolvablePolynomial<BigRational>)d.subtract(c);
263     assertTrue("!isZERO( a*b-b*a ) " + e, !e.isZERO() );
264     assertTrue("a*b != b*a", !c.equals(d) );
265
266
267     c = ring.random(kl, ll, el, q );
268     //System.out.println("\na = " + a);
269     //System.out.println("\nb = " + b);
270     //System.out.println("\nc = " + c);
271
272     // associative
273     //x1 = b.multiply(c);
274     //System.out.println("\nx1 = " + x1);
275     d = a.multiply( b.multiply(c) );
276
277     //x2 = a.multiply(b);
278     //System.out.println("\nx2 = " + x2);
279     e = a.multiply(b).multiply(c);
280
281     //System.out.println("\nd = " + d);
282     //System.out.println("\ne = " + e);
283
284     //f = (GenSolvablePolynomial<BigRational>)d.subtract(e);
285     //System.out.println("\nf = " + f);
286
287     assertEquals("a(bc) = (ab)c",d,e);
288     assertTrue("a(bc) = (ab)c", d.equals(e) );
289 }
290
291
292/**
293 * Test distributive law.
294 * 
295 */
296 public void testDistributive() {
297     int rloc = 4;
298     ring = new GenSolvablePolynomialRing<BigRational>(cfac,rloc);
299
300     WeylRelations<BigRational> wl = new WeylRelations<BigRational>(ring);
301     wl.generate();
302     //table = ring.table;
303     //System.out.println("table = " + table);
304     //System.out.println("ring = " + ring);
305
306     a = ring.random(kl,ll,el,q);
307     b = ring.random(kl,ll,el,q);
308     c = ring.random(kl,ll,el,q);
309
310     d = a.multiply( (GenSolvablePolynomial<BigRational>)b.sum(c) );
311     e = (GenSolvablePolynomial<BigRational>)a.multiply( b ).sum( a.multiply(c) );
312
313     assertEquals("a(b+c) = ab+ac",d,e);
314 }
315}