public void Test0()
{
var t = SkewBinomialHeap <string> .Empty;
var x1 = SkewBinomialHeap <string> .Insert("C", t);
Assert.AreEqual("[[C]]", DumpHeap(x1));
}
public void Test1()
{
var t = SkewBinomialHeap <string> .Empty;
var x1 = SkewBinomialHeap <string> .Insert("C", t);
var x2 = SkewBinomialHeap <string> .Insert("B", x1);
Assert.AreEqual("[[B][C]]", DumpHeap(x2));
}
public void EmptyTest()
{
var t = SkewBinomialHeap <string> .Empty;
Assert.IsTrue(SkewBinomialHeap <string> .IsEmpty(t));
var t1 = SkewBinomialHeap <string> .Insert("C", t);
Assert.IsFalse(SkewBinomialHeap <string> .IsEmpty(t1));
}
public void DeleteMinTest()
{
var t = SkewBinomialHeap <int> .Empty;
var t1 = SkewBinomialHeap <int> .Insert(5, t);
var t2 = SkewBinomialHeap <int> .Insert(3, t1);
var t3 = SkewBinomialHeap <int> .Insert(6, t2);
var t4 = SkewBinomialHeap <int> .DeleteMin(t3);
Assert.AreEqual("[[6][5]]", DumpHeap(t4));
Assert.AreEqual(5, SkewBinomialHeap <int> .FindMin(t4));
Assert.AreEqual(3, SkewBinomialHeap <int> .FindMin(t3));
}
public void DeleteLotsOfMinsTest2()
{
var random = new Random(1000);
var t = SkewBinomialHeap <int> .Empty;
var min = 0;
for (var i = 0; i < 1000; i++)
{
var j = random.Next(1000);
min = Math.Min(j, min);
t = SkewBinomialHeap <int> .Insert(j, t);
j = random.Next(1000);
min = Math.Min(j, min);
t = SkewBinomialHeap <int> .Insert(j, t);
var k = SkewBinomialHeap <int> .FindMin(t);
t = SkewBinomialHeap <int> .DeleteMin(t);
Assert.IsTrue(min <= k);
min = k;
}
for (var i = 0; i < 1000; i++)
{
var j = SkewBinomialHeap <int> .FindMin(t);
t = SkewBinomialHeap <int> .DeleteMin(t);
Assert.IsTrue(min <= j);
min = j;
}
Assert.IsTrue(SkewBinomialHeap <int> .IsEmpty(t));
}
public void DeleteLotsOfMinsTest()
{
var random = new Random(3456);
var heap = SkewBinomialHeap <int> .Empty;
for (var i = 0; i < 100; i++)
{
heap = SkewBinomialHeap <int> .Insert(random.Next(100), heap);
}
var last = 0;
var count = 0;
while (!SkewBinomialHeap <int> .IsEmpty(heap))
{
var next = SkewBinomialHeap <int> .FindMin(heap);
heap = SkewBinomialHeap <int> .DeleteMin(heap);
Assert.IsTrue(last <= next);
last = next;
count++;
}
Assert.AreEqual(100, count);
}
public void MergeTest()
{
const string data1 = "What's in a name?";
var ts1 = data1.Split().Aggregate(SkewBinomialHeap <string> .Empty, (current, word) => SkewBinomialHeap <string> .Insert(word, current));
const string data2 = "That which we call a rose by any other name would smell as sweet";
var ts2 = data2.Split().Aggregate(SkewBinomialHeap <string> .Empty, (current, word) => SkewBinomialHeap <string> .Insert(word, current));
var t = SkewBinomialHeap <string> .Merge(ts1, ts2);
Assert.AreEqual("[[name?][a, in[[What's]]][a, by, rose[[any, sweet, name[[as, smell[[would]]][other]]][That, we[[which]]][call]]]]", DumpHeap(t));
}
public void Test2()
{
const string words = "What's in a name? That which we call a rose by any other name would smell as sweet.";
var t = words.Split().Aggregate(SkewBinomialHeap <string> .Empty, (current, word) => SkewBinomialHeap <string> .Insert(word, current));
Assert.AreEqual("[[as, sweet.[[smell]]][a, would, name, rose[[a, we, in[[name?, which[[That]]][What's]]][any, other[[by]]][call]]]]", DumpHeap(t));
}