对于逆序数组,插入排序非常快

问题描述 投票:1回答:1

我要疯了。我有4种排序算法的测试用例(气泡排序,选择排序,插入排序和合并排序)

我测试了有序数组,反向有序数组和随机数组。在每种情况下,插入排序都非常快。我测试了1k,5k和25k的数字。插入排序一定不能比合并排序快吗?对? (顺便说一句,在随机数数组的情况下,插入排序仍然是更快的,对于我的代码,插入排序始终是最快的算法。这肯定是错误的,但是哪里错了。。(我分享了我所有的代码))>

Test Case for 1k Reversed Ordered Array: (in milis)

Bubble Sort run time: 512
Selection Sort run time: 154
Insertion Sort Run time: 1
Merge Sort run time: 19


test case for 5k reversed ordered number (in milis):

Bubble Sort run time: 11768
Selection Sort run time: 3613
Insertion Sort Run time: 4
Merge Sort run time: 100

Test Case for 25 k reversed ordered array

Bubble Sort run time: 303249
Selection Sort run time: 90469
Insertion Sort Run time: 20
Merge Sort run Zaman: 644

这是我的主要代码;

def CreateOrdered(Quantity):
    Array = []
    for i in range(Quantity):
        Array.append(i)
    return Array

def ReversedOrdered(Quantity):
    Array = []
    for i in range(Quantity):
        Array.append(Quantity-i)
    return Array

def RandomNumbers(Quantity):
    Array = []
    for i in range(Quantity):
        Array.append(randint(0,Quantity))
    return Array

Array = ReversedOrdered(1000)
ArrayCopyForSelection = Array
ArrayCopyForInsertion = Array
ArrayCopyForMerge = Array

BubbleSortStartTime = int(round(time.time() * 1000))
BubbleSort(Array)
BubbleSortStopTime = int(round(time.time() * 1000))

print("Bubble Sort run time: " + str(BubbleSortStopTime-BubbleSortStartTime))
print(" ")

SelectionStartTime = int(round(time.time() * 1000))
SelectionSort(ArrayCopyForSelection)
SelectionStopTime = int(round(time.time() * 1000))

print("Selection Sort run time: " + str(SelectionStopTime-SelectionStartTime))
print(" ")

InsertionStartTime = int(round(time.time() * 1000))
InsertionSort(ArrayCopyForInsertion)
InsertionStopTime = int(round(time.time() * 1000))

print("Insertion Sort Run time: " + str(InsertionStopTime-InsertionStartTime))
print(" ")


MergeStartTime = int(round(time.time() * 1000))
Merge(ArrayCopyForMerge)
MergeStopTime = int(round(time.time() * 1000))

print("Merge Sort run time: " + str(MergeStopTime-MergeStartTime))

这是我的排序算法:

from random import seed
from random import randint
import time

def BubbleSort(Array):
    for i in range(len(Array)):
        flag = False
        for j in range(len(Array) - 1 - i):
            if Array[j] >  Array[j+1]:
                Array[j], Array[j+1] = Array[j+1], Array[j]
                flag = True
        if flag == False:
            break
    return Array

def SelectionSort(Array):
    for i in range(len(Array)):
        MinimumIndex = i
        for j in range(i+1,len(Array)):
            if Array[j] < Array[MinimumIndex]:
                MinimumIndex = j

        temp = Array[i]
        Array[i] = Array[MinimumIndex]
        Array[MinimumIndex] = temp
    return Array

def InsertionSort(Array):

    for i in range(1,len(Array)):
        key = Array[i]
        j = i - 1

        while key < Array[j] and j >= 0:
            Array[j+1] = Array[j]
            j = j - 1
        Array[j+1] = key
    return Array

def Merge(Array):
    if len(Array) > 1:
        mid = len(Array) // 2
        leftHalf = Array[:mid]
        rightHalf = Array[mid:]

        Merge(leftHalf)
        Merge(rightHalf)
        MergeSort(Array, leftHalf, rightHalf)

def MergeSort(Array, leftHalf, rightHalf):

    i = 0
    j = 0
    k = 0

    while i < len(leftHalf) and j < len(rightHalf):
        if leftHalf[i] < rightHalf[j]:
            Array[k] = leftHalf[i]
            i = i + 1
        else:
            Array[k] = rightHalf[j]
            j = j + 1
        k = k + 1

    while i < len(leftHalf):
        Array[k] = leftHalf[i]
        i = i + 1
        k = k + 1

    while j < len(rightHalf):
        Array[k] = rightHalf[j]
        j = j + 1
        k = k + 1

我要疯了。我测试了4种排序算法(气泡排序,选择排序,插入排序和合并排序)的测试用例,有序数组,反向有序数组和随机数组。在...

python arrays insertion-sort
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