/** Test homogeneous. */
public void testHomogeneous() {
// rational numbers
BigRational rf = new BigRational();
// System.out.println("rf = " + rf);
// polynomials over rational numbers
GenPolynomialRing<BigRational> pf = new GenPolynomialRing<BigRational>(rf, 2); // rl);
// System.out.println("pf = " + pf);
// test 1
GenPolynomial<BigRational> p = pf.getONE();
// System.out.println("p = " + p);
assertTrue("1 is homogeneous " + p, p.isHomogeneous());
// test 0
p = pf.getZERO();
// System.out.println("p = " + p);
assertTrue("0 is homogeneous " + p, p.isHomogeneous());
// test random
p = pf.random(kl, 2 * ll, el, q);
// p = pf.random(kl,ll,el,q);
// System.out.println("p = " + p);
assertFalse("rnd is homogeneous " + p, p.isHomogeneous());
// make homogeneous
GenPolynomialRing<BigRational> pfh = pf.extend(1);
// System.out.println("pfh = " + pfh);
// remove block order
TermOrder to = new TermOrder(TermOrder.IGRLEX);
pfh = new GenPolynomialRing<BigRational>(pfh, to);
// System.out.println("pfh = " + pfh);
GenPolynomial<BigRational> ph = p.homogenize(pfh);
// System.out.println("ph = " + ph);
assertTrue("ph is homogeneous " + ph, ph.isHomogeneous());
GenPolynomial<BigRational> ps = ph.deHomogenize(pf);
// System.out.println("ps = " + ps);
assertEquals("phs == p ", ps, p); // findbugs
// System.out.println("p is homogeneous = " + p.isHomogeneous());
// System.out.println("ph is homogeneous = " + ph.isHomogeneous());
GenPolynomial<BigRational> s = pf.random(kl, ll, el, q);
// System.out.println("s = " + s);
assertFalse("rnd is homogeneous " + s, s.isHomogeneous());
GenPolynomial<BigRational> sh = s.homogenize(pfh);
// System.out.println("sh = " + sh);
assertTrue("sh is homogeneous " + sh, sh.isHomogeneous());
GenPolynomial<BigRational> ss = sh.deHomogenize(pf);
// System.out.println("ss = " + ss);
assertEquals("ss = s ", ss, s);
GenPolynomial<BigRational> th = ph.multiply(sh);
// System.out.println("th = " + th);
assertTrue("th is homogeneous " + th, th.isHomogeneous());
GenPolynomial<BigRational> t = p.multiply(s);
// System.out.println("t = " + t);
GenPolynomial<BigRational> ts = th.deHomogenize(pf);
// System.out.println("ts = " + ts);
assertEquals("ts = t ", ts, t);
}
