testRingAxioms()

template<typename T>

void testRingAxioms	(	const T *	R,
		int	ntrials )

Definition at line 164 of file RingTest.hpp.

{
  RingElementGenerator<T> gen(*R);
  for (int i = 0; i < ntrials; i++)
    {
      ring_elem a = gen.nextElement();
      ring_elem b = gen.nextElement();
      ring_elem c = gen.nextElement();
 
      // Test commutativity
      // test: a*b = b*a
      // test: a+b == b+a
      ring_elem d = R->add(a, b);
      ring_elem e = R->add(b, a);
      EXPECT_TRUE(R->is_equal(d, e));
      d = R->mult(a, b);
      e = R->mult(b, a);
      EXPECT_TRUE(R->is_equal(d, e));
 
      // Test associativity
      // test: a+(b+c) == (a+b)+c
      // test: a*(b*c) == (a*b)*c
      d = R->add(a, R->add(b, c));
      e = R->add(R->add(a, b), c);
      EXPECT_TRUE(R->is_equal(d, e));
      d = R->mult(a, R->mult(b, c));
      e = R->mult(R->mult(a, b), c);
      EXPECT_TRUE(R->is_equal(d, e));
 
      // Test distributivity
      // test: a*(b+c) == a*b + a*c
      d = R->mult(a, R->add(b, c));
      e = R->add(R->mult(a, b), R->mult(a, c));
      EXPECT_TRUE(R->is_equal(d, e));
    }
}

References RingElementGenerator< RingType >::nextElement(), ntrials, and T.

Referenced by TEST(), TEST(), TEST(), and TEST().