public void ConvertingToBinomialMinHeap()
{
var maxHeap = new BinomialMaxHeap <int>();
int maxHeapElement = 50000;
int minHeapElement = -50000;
int addedElements = 0;
//Adding every seventh number, then every fifth number,
//every third and at last all numbers
//NOTE: some items are added more than once
for (int i = 7; i > 0; i -= 2)
{
int el = minHeapElement;
while (el <= maxHeapElement)
{
maxHeap.Add(el);
addedElements++;
el += i;
}
}
if (maxHeap.Count != addedElements)
{
Assert.Fail();
}
// Binomial min heap heapified from the max heap. Has to be the same
// as the converted min heap
var heapifiedMinHeap = new BinomialMinHeap <int>();
heapifiedMinHeap.Heapify(maxHeap.ToArray());
var minHeap = maxHeap.ToMinHeap();
if (minHeap.Count != heapifiedMinHeap.Count)
{
Assert.Fail();
}
var min1 = heapifiedMinHeap.PeekMin();
var min2 = minHeap.PeekMin();
int removedElements = 0;
while (!heapifiedMinHeap.IsEmpty && !minHeap.IsEmpty)
{
if (min1 > heapifiedMinHeap.PeekMin())
{
Assert.Fail();
}
if (min2 > minHeap.PeekMin())
{
Assert.Fail();
}
min1 = heapifiedMinHeap.PopMin();
min2 = minHeap.PopMin();
removedElements++;
if (min1 != min2)
{
Assert.Fail();
}
}
Assert.IsTrue(heapifiedMinHeap.IsEmpty &&
minHeap.IsEmpty &&
heapifiedMinHeap.Count == 0 &&
minHeap.Count == 0 &&
addedElements == removedElements);
}
public void MergingTwoHeapsAndCheckingIfExtractedInSortedOrder()
{
var heap1 = new BinomialMaxHeap <int>();
var heap2 = new BinomialMaxHeap <int>();
int maxElementInFirstHeap = 100000;
int minElementInFirstHeap = 0;
int addedElementsInFirstHeap = 0;
//Adding every seventh number, then every fifth number,
//every third and at last all numbers
//NOTE: some items are added more than once
for (int i = 7; i > 0; i -= 2)
{
int el = minElementInFirstHeap;
while (el <= maxElementInFirstHeap)
{
heap1.Add(el);
addedElementsInFirstHeap++;
el += i;
}
}
int maxElementInSecondHeap = 50000;
int minElementInSecondHeap = -50000;
int addedElementsInSecondHeap = 0;
//Adding every seventh number, then every fifth number,
//every third and at last all numbers
//NOTE: some items are added more than once
for (int i = 7; i > 0; i -= 2)
{
int el = minElementInSecondHeap;
while (el <= maxElementInSecondHeap)
{
heap2.Add(el);
addedElementsInSecondHeap++;
el += i;
}
}
if (heap1.Count != addedElementsInFirstHeap)
{
Assert.Fail("first heap incorrect count");
}
if (heap2.Count != addedElementsInSecondHeap)
{
Assert.Fail("second heap incorrect count");
}
var oldHeap1 = new BinomialMaxHeap <int>();
oldHeap1.Heapify(heap1.ToArray());
var oldHeap2 = new BinomialMaxHeap <int>();
oldHeap2.Heapify(heap2.ToArray());
heap1.Merge(heap2);
heap2.Heapify(oldHeap2.ToArray());
heap2.Merge(oldHeap1);
int mergedHeapElements = addedElementsInFirstHeap + addedElementsInSecondHeap;
if (heap1.Count != mergedHeapElements)
{
Assert.Fail("merged first with second incorect count");
}
if (heap2.Count != mergedHeapElements)
{
Assert.Fail("merged second with first incorrect count");
}
var max1 = heap1.PeekMax();
var max2 = heap2.PeekMax();
if (max1 != max2)
{
Assert.Fail("merged heaps min element is different");
}
int removedElements = 0;
while (!heap1.IsEmpty && !heap2.IsEmpty)
{
if (max1 < heap1.PeekMax())
{
Assert.Fail();
}
if (max2 < heap2.PeekMax())
{
Assert.Fail();
}
max1 = heap1.PopMax();
max2 = heap2.PopMax();
removedElements++;
if (max1 != max2)
{
Assert.Fail("merged heaps min element is different");
}
}
Assert.IsTrue(heap1.IsEmpty &&
heap2.IsEmpty &&
heap1.Count == 0 &&
heap2.Count == 0 &&
mergedHeapElements == removedElements);
}