TEST() [2/9]

TEST	(	RingRRR	,
		axioms	)

Definition at line 122 of file RingRRRTest.cpp.

{
  RingRRR *R = RingRRR::create(std::make_unique<M2::ARingRRR>(100));
  RingElementGenerator<RingRRR> 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(almostEqual(R, 98, 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(almostEqual(R, 94, d, e));
      d = R->mult(a, R->mult(b, c));
      e = R->mult(R->mult(a, b), c);
      EXPECT_TRUE(almostEqual(R, 94, 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(almostEqual(R, 92, d, e));
    }
}

References M2::ConcreteRing< RingType >::add(), almostEqual(), M2::ConcreteRing< M2::ARingRRR >::create(), M2::ConcreteRing< RingType >::is_equal(), M2::ConcreteRing< RingType >::mult(), RingElementGenerator< RingType >::nextElement(), and ntrials.