private void TestFind(IUnionFind uf)
{
Assert.AreEqual(100, uf.Components().Count, "The given UnionFind algorithm must be defined for 100 nodes");
bool result;
/* Initially, I find no path */
result = uf.Find(0, 1);
Assert.AreEqual(result, false);
/* Test directly connected nodes */
uf.Union(0, 1);
result = uf.Find(0, 1);
Assert.AreEqual(result, true);
/* Test indirectly connected nodes */
uf.Union(1, 2);
result = uf.Find(0, 2);
Assert.AreEqual(result, true);
/* Test non-connected nodes */
result = uf.Find(0, 9);
Assert.AreEqual(result, false);
/* Test find in an union of all nodes */
Random random = new Random();
List <int> components = uf.Components();
for (int i = 3; i < components.Count; i++)
{
uf.Union(i - 1, i);
}
components = uf.Components();
for (int i = 0; i < components.Count; i++)
{
int p = random.Next(0, components.Count);
int q = random.Next(0, components.Count);
result = uf.Find(p, q);
Assert.AreEqual(result, true);
}
Assert.AreEqual(CountConnectedComponents(components), 1);
}
private void TestUnion(IUnionFind uf)
{
Assert.AreEqual(100, uf.Components().Count, "The given UnionFind algorithm must be defined for 100 nodes");
List <int> components;
/* Test union of two nodes */
uf.Union(0, 1);
components = uf.Components();
Assert.AreEqual(components[0], components[1]);
Assert.AreEqual(CountConnectedComponents(components), components.Count - 1);
/* Test union of three nodes */
uf.Union(1, 2);
components = uf.Components();
Assert.AreEqual(components[0], components[1]);
Assert.AreEqual(components[1], components[2]);
Assert.AreEqual(CountConnectedComponents(components), components.Count - 2);
/* Test random unions */
Random random = new Random();
List <Tuple <int, int> > connections = new List <Tuple <int, int> >();
for (int i = 0; i < components.Count; i++)
{
int p = random.Next(0, components.Count);
int q = random.Next(0, components.Count);
connections.Add(new Tuple <int, int>(p, q));
uf.Union(p, q);
}
components = uf.Components();
foreach (var con in connections)
{
Assert.AreEqual(components[con.Item1], components[con.Item2]);
}
}
