public void ComputeMaximalNonzeroEquivalenceClassRepresentativesStartingAt_TetraforceCenter()
{
var settings = GetSettings(detectNonCancellativity: false);
var qp = UsefulQPs.GetSquareQP(3);
DoSetup(qp, out var ruleTree);
var representativePaths = Computer.ComputeMaximalNonzeroEquivalenceClassRepresentativesStartingAt(qp.Quiver, 5, ruleTree, settings).MaximalNonzeroEquivalenceClassRepresentatives.ToList();
var expectedMaximalEquivalenceClasses = new ISet <Path <int> >[]
{
new HashSet <Path <int> >
{
new Path <int>(5, new Arrow <int>[] { new Arrow <int>(5, 4), new Arrow <int>(4, 1), new Arrow <int>(1, 2), new Arrow <int>(2, 5) }),
new Path <int>(5, new Arrow <int>[] { new Arrow <int>(5, 6), new Arrow <int>(6, 3), new Arrow <int>(3, 2), new Arrow <int>(2, 5) }),
new Path <int>(5, new Arrow <int>[] { new Arrow <int>(5, 4), new Arrow <int>(4, 7), new Arrow <int>(7, 8), new Arrow <int>(8, 5) }),
new Path <int>(5, new Arrow <int>[] { new Arrow <int>(5, 6), new Arrow <int>(6, 9), new Arrow <int>(9, 8), new Arrow <int>(8, 5) }),
},
};
Assert.That(representativePaths, Has.Count.EqualTo(expectedMaximalEquivalenceClasses.Length));
foreach (var representative in representativePaths)
{
Assert.That(expectedMaximalEquivalenceClasses, Has.One.Contains(representative));
}
}
public void Squares_AreSelfInjective_WithUnusualFirstVertex()
{
const int FirstVertex = -123;
var qps = Utility.InfiniteRange(1).Select(k => UsefulQPs.GetSquareQP(k, FirstVertex)).TakeWhile(qp => qp.Quiver.Vertices.Count < 30);
AssertAreSelfInjective(qps);
}
public void ComputeMaximalNonzeroEquivalenceClassRepresentativesStartingAt_TetraforceCorner()
{
var settings = GetSettings(detectNonCancellativity: false);
var qp = UsefulQPs.GetSquareQP(3);
DoSetup(qp, out var ruleTree);
var representativePaths = Computer.ComputeMaximalNonzeroEquivalenceClassRepresentativesStartingAt(qp.Quiver, 1, ruleTree, settings).MaximalNonzeroEquivalenceClassRepresentatives.ToList();
var expectedRepresentative = new Path <int>(1, new Arrow <int>[] { new Arrow <int>(1, 2), new Arrow <int>(2, 5), new Arrow <int>(5, 6), new Arrow <int>(6, 9) });
Assert.That(representativePaths, Has.Count.EqualTo(1));
Assert.That(representativePaths.Single(), Is.EqualTo(expectedRepresentative));
}
public void Squares_AreSelfInjective()
{
var qps = Utility.InfiniteRange(1).Select(k => UsefulQPs.GetSquareQP(k)).TakeWhile(qp => qp.Quiver.Vertices.Count < 30);
AssertAreSelfInjective(qps);
}
