Python Sorting Algorithms

1. bubbleSort

def bubbleSort(arr):
    for i in range(1, len(arr)):
        for j in range(0, len(arr)-i):
            if arr[j] > arr[j+1]:
                arr[j], arr[j + 1] = arr[j + 1], arr[j]
    return arr

2. radixSort

def radix(arr):

    digit = 0
    max_digit = 1
    max_value = max(arr)
    while 10**max_digit < max_value:
        max_digit = max_digit + 1

    while digit < max_digit:
        temp = [[] for i in range(10)]
        for i in arr:
            t = int((i/10**digit)%10)
            temp[t].append(i)

        coll = []
        for bucket in temp:
            for i in bucket:
                coll.append(i)

        arr = coll
        digit = digit + 1

    return arr

3. selectionSort

def selectionSort(arr):
    for i in range(len(arr) - 1):
        minIndex = i
        for j in range(i + 1, len(arr)):
            if arr[j] < arr[minIndex]:
                minIndex = j
        # exchange when i is not the min
        if i != minIndex:
            arr[i], arr[minIndex] = arr[minIndex], arr[i]
    return arr

4. insertionSort

def insertionSort(arr):
    for i in range(len(arr)):
        preIndex = i-1
        current = arr[i]
        while preIndex >= 0 and arr[preIndex] > current:
            arr[preIndex+1] = arr[preIndex]
            preIndex-=1
        arr[preIndex+1] = current
    return arr

5. shellSort

def shellSort(arr):
    import math
    gap=1
    while(gap < len(arr)/3):
        gap = gap*3+1
    while gap > 0:
        for i in range(gap,len(arr)):
            temp = arr[i]
            j = i-gap
            while j >=0 and arr[j] > temp:
                arr[j+gap]=arr[j]
                j-=gap
            arr[j+gap] = temp
        gap = math.floor(gap/3)
    return arr

6. mergeSort

def mergeSort(arr):
    import math
    if(len(arr)<2):
        return arr
    middle = math.floor(len(arr)/2)
    left, right = arr[0:middle], arr[middle:]
    return merge(mergeSort(left), mergeSort(right))

def merge(left,right):
    result = []
    while left and right:
        if left[0] <= right[0]:
            result.append(left.pop(0));
        else:
            result.append(right.pop(0));
    while left:
        result.append(left.pop(0));
    while right:
        result.append(right.pop(0));
    return result

7. quickSort

def quickSort(arr, left=None, right=None):
    left = 0 if not isinstance(left,(int, float)) else left
    right = len(arr)-1 if not isinstance(right,(int, float)) else right
    if left < right:
        partitionIndex = partition(arr, left, right)
        quickSort(arr, left, partitionIndex-1)
        quickSort(arr, partitionIndex+1, right)
    return arr

def partition(arr, left, right):
    pivot = left
    index = pivot+1
    i = index
    while  i <= right:
        if arr[i] < arr[pivot]:
            swap(arr, i, index)
            index+=1
        i+=1
    swap(arr,pivot,index-1)
    return index-1

def swap(arr, i, j):
    arr[i], arr[j] = arr[j], arr[i]