他們都在同一時間複雜度,但是當我一個隨機產生的鏈表上運行我的歸併排序擁有10項:爲什麼我的mergesort比我的quicksort慢?
public LinkedList<Integer> linkedListSort(LinkedList<Integer> list) {
if (list.size() <= 1) return list;
LinkedList<Integer> left = new LinkedList<Integer>();
LinkedList<Integer> right = new LinkedList<Integer>();
int middle = list.size()/2;
for (int i = 0; i < middle; i++) {
left.add((int)list.get(i)); steps++;
}
for (int i = middle; i < list.size(); i++) {
right.add((int)list.get(i)); steps++;
}
left = linkedListSort(left);
right = linkedListSort(right);
return merge(left, right);
}
public LinkedList<Integer> merge(LinkedList<Integer> left, LinkedList<Integer> right) {
LinkedList<Integer> result = new LinkedList<Integer>();
while (!(left.isEmpty()) && !(right.isEmpty())) {
steps++;
if ((int)left.peekFirst() <= (int)right.peekFirst()) {
result.add(left.poll());
} else {
result.add(right.poll());
}
}
while (!(left.isEmpty())) {result.add(left.poll()); steps++;}
while (!(right.isEmpty())) {result.add(right.poll()); steps++;}
return result;
}
它比我的快速排序是慢了許多:
public String arraySort(int[] array, int startIndex, int endIndex, int steps) {
int leftIndex = startIndex;
int rightIndex = endIndex;
int pivot = array[(leftIndex + rightIndex)/2];
while (leftIndex <= rightIndex) {
steps++;
//search for an element with a higher value than the pivot, lower than it
while (array[leftIndex] < pivot) {steps++; leftIndex++;}
//search for an element with a lower value than the pivot, higher than it
while (array[rightIndex] > pivot) {steps++; rightIndex--;}
//check the left index hasn't overtaken the right index
if (leftIndex <= rightIndex) {
//swap the elements
int holder = array[leftIndex];
array[leftIndex] = array[rightIndex];
array[rightIndex] = holder;
leftIndex++; rightIndex--;
}
}
if (leftIndex < endIndex) arraySort(array, leftIndex, endIndex, steps);
if (rightIndex > startIndex) arraySort(array, startIndex, rightIndex, steps);
return "Quicksort on an unsorted array took " + steps + " steps.";
}
這是什麼原因?我的quicksort/mergesort不是它應該是的還是mergesort在鏈接列表上執行的數量很大的隨機數?或者是其他東西?
謝謝!
你怎麼測量每個的速度?你是使用微觀基準框架還是隻是一個接着一個地執行一個? –
你爲什麼期望mergesort比quicksort更快? –
@LuiggiMendoza我一直沒有正確測量,但我必須等待至少10秒才能完成合並,但我的快速排序不需要很長時間。此外,我一直在測量每個進行比較的數量和快速排序將需要大約75000和mergesort將需要3337856. – ErlangBestLanguage