堆的概念我在之前的文章中已经有说明,这里不再赘述.本小结的内容仅包括堆排序部分.
算法特点:
1.不稳定.
2.时间复杂度 O(nlog(n))
3.空间复杂度 O(nlog(n))
在堆删除节点的同时,正好可以巧妙的将该数据放置到数组被删掉的位置,最后得到排序好的数组(堆的根节点被弹出后,总是将最后节点重新放置到跟节点,这样,最后节点位置正好空出).
//Heapsort
//1. Not Stable
//2. Time complex O(nlog(n))
//3. Space complecity, O(nlog(n))
//4. No special
template <typename T, unsigned int size>
void Sort<T,size>::heapSort(T * const sortArray/*, const unsigned int size*/)
{
Heap<T, size> heap;
TimeAndSpace timeAndSpace;
//Construct the heap
for (unsigned int i = 0; i < size; i++)
{
timeAndSpace = heap.AddElem(sortArray[i]);
loopTimes += timeAndSpace.times;
moveTimes += timeAndSpace.moves;
}
for (unsigned int i = 0; i < size; i++)
{
T value;
timeAndSpace = heap.deleteElem(value);
loopTimes += timeAndSpace.times;
moveTimes += timeAndSpace.moves;
sortArray[size - 1 - i] = value;
}
return;
}