public void GroupsGeneratedByDiffSizedSwapsAreEqual()
{
IGroup group1 = new GeneratedGroup(Element.CreateSwap(3));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(4));
Assert.IsTrue(GroupUtilities.AreEqual(group1, group2));
}
public void GroupsGeneratedByDiffPositionSwapsAreNotEqual()
{
IElement swap1 = Element.CreateSwap(3);
IElement swap2 = Element.CreateRotation(4).Multiply(Element.CreateSwap(4));
IGroup group1 = new GeneratedGroup(swap1);
IGroup group2 = new GeneratedGroup(swap2);
Assert.IsFalse(GroupUtilities.AreEqual(group1, group2));
}
public void PrimeRotationGroupsAreEqual()
{
IElement elementrot = Element.CreateRotation(5);
IElement elementrot2 = elementrot.Multiply(elementrot);
IGroup group1 = new GeneratedGroup(elementrot);
IGroup group2 = new GeneratedGroup(elementrot2);
Assert.IsTrue(GroupUtilities.AreEqual(group1, group2));
}
public void MultiplyGenerateSymmetricGroup()
{
IGroup group1 = new GeneratedGroup(Element.CreateRotation(4));
IGroup group2 = new GeneratedGroup(Element.CreateSwap(4));
IGroup group3 = GroupUtilities.Multiply(group1, group2);
Assert.AreEqual(24, group3.Order);
IGroup symm = new SymmetricGroup(4);
Assert.IsTrue(GroupUtilities.AreEqual(group3, symm));
Assert.IsTrue(group3.Equals(symm));
}