/** Test constructor and toString. */
public void testConstruction() {
BigRational cfac = new BigRational(1);
GenVectorModul<BigRational> mfac = new GenVectorModul<BigRational>(cfac, ll);
assertTrue("#columns = " + ll, mfac.cols == ll);
assertTrue("cfac == coFac ", cfac == mfac.coFac);
GenVector<BigRational> a;
a = mfac.getZERO();
// System.out.println("a = " + a);
assertTrue("isZERO( a )", a.isZERO());
GenVector<BigRational> b = new GenVector<BigRational>(mfac);
// System.out.println("b = " + b);
assertTrue("isZERO( b )", b.isZERO());
assertTrue("a == b ", a.equals(b));
GenVector<BigRational> c = b.clone();
// System.out.println("c = " + c);
assertTrue("isZERO( c )", c.isZERO());
assertTrue("a == c ", a.equals(c));
GenVector<BigRational> d = mfac.copy(b);
// System.out.println("d = " + d);
assertTrue("isZERO( d )", d.isZERO());
assertTrue("a == d ", a.equals(d));
}
/** Test addition. */
public void testAddition() {
BigRational cfac = new BigRational(1);
GenVectorModul<BigRational> mfac = new GenVectorModul<BigRational>(cfac, ll);
GenVector<BigRational> a, b, c, d, e;
a = mfac.random(kl, q);
b = mfac.random(kl, q);
// System.out.println("a = " + a);
// System.out.println("b = " + b);
c = a.sum(b);
d = c.subtract(b);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+b-b = a", a, d);
c = a.sum(b);
d = c.sum(b.negate());
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+b+(-b) = a", a, d);
c = a.sum(b);
d = b.sum(a);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+b = b+a", c, d);
c = mfac.random(kl, q);
d = a.sum(b).sum(c);
e = a.sum(b.sum(c));
// System.out.println("d = " + d);
// System.out.println("e = " + e);
assertEquals("a+(b+c) = (a+b)+c", d, e);
}
/** Test random vector. */
public void testRandom() {
BigRational cfac = new BigRational(1);
GenVectorModul<BigRational> mfac = new GenVectorModul<BigRational>(cfac, ll);
GenVector<BigRational> a;
for (int i = 0; i < 7; i++) {
a = mfac.random(kl, q);
// System.out.println("a = " + a);
if (a.isZERO()) {
continue;
}
assertTrue(" not isZERO( a" + i + " )", !a.isZERO());
}
}
/** Test scalar multiplication. */
public void testMultiplication() {
BigRational cfac = new BigRational(1);
GenVectorModul<BigRational> mfac = new GenVectorModul<BigRational>(cfac, ll);
BigRational r, s, t;
GenVector<BigRational> a, b, c, d, e;
r = cfac.random(kl);
// System.out.println("r = " + r);
s = r.inverse();
// System.out.println("s = " + s);
a = mfac.random(kl, q);
// System.out.println("a = " + a);
c = a.scalarMultiply(r);
d = c.scalarMultiply(s);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a*b*(1/b) = a", a, d);
b = mfac.random(kl, q);
// System.out.println("b = " + b);
t = cfac.getONE();
// System.out.println("t = " + t);
c = a.linearCombination(b, t);
d = b.linearCombination(a, t);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+1*b = b+1*a", c, d);
c = a.linearCombination(b, t);
d = a.sum(b);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+1*b = b+1*a", c, d);
s = t.negate();
// System.out.println("s = " + s);
c = a.linearCombination(b, t);
d = c.linearCombination(b, s);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a+1*b+(-1)*b = a", a, d);
c = a.linearCombination(t, b, t);
d = c.linearCombination(t, b, s);
// System.out.println("c = " + c);
// System.out.println("d = " + d);
assertEquals("a*1+b*1+b*(-1) = a", a, d);
t = cfac.getZERO();
// System.out.println("t = " + t);
c = a.linearCombination(b, t);
// System.out.println("c = " + c);
assertEquals("a+0*b = a", a, c);
d = a.linearCombination(t, b, t);
// System.out.println("d = " + d);
assertEquals("0*a+0*b = 0", mfac.getZERO(), d);
r = a.scalarProduct(b);
s = b.scalarProduct(a);
// System.out.println("r = " + r);
// System.out.println("s = " + s);
assertEquals("a.b = b.a", r, s);
}