@Test
  public void toCachedReturnsExpectedResultIfGroupElementHasP3Representation() {
    for (int i = 0; i < 10; i++) {
      // Arrange:
      final GroupElement g = MathUtils.getRandomGroupElement();

      // Act:
      final GroupElement h1 = g.toCached();
      final GroupElement h2 = MathUtils.toRepresentation(g, GroupElement.Representation.CACHED);

      // Assert:
      Assert.assertThat(h1, IsEqual.equalTo(h2));
      Assert.assertThat(
          h1.getRepresentation(), IsEqual.equalTo(GroupElement.Representation.CACHED));
      Assert.assertThat(h1, IsEqual.equalTo(g));
      Assert.assertThat(h1.getX(), IsEqual.equalTo(g.getY().add(g.getX())));
      Assert.assertThat(h1.getY(), IsEqual.equalTo(g.getY().subtract(g.getX())));
      Assert.assertThat(h1.getZ(), IsEqual.equalTo(g.getZ()));
      Assert.assertThat(h1.getT(), IsEqual.equalTo(g.getT().multiply(curve.get2D())));
    }
  }