Difference between revisions of "Sorting Arrays"

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There are a number of approaches to sorting an array, some more efficient than others. The approach discussed here is selection sort and will explain how to implement a selection sort on an array.|Overview=}}
  
 
==Selection Sort==
 
==Selection Sort==

Revision as of 12:15, 3 December 2007

COMP 1010 Home > Selection Sorting


Introduction

Now that we have learned how to search an array, a common application is sorting the array in to a desired order of the values. There are a number of approaches to sorting an array, some more efficient than others. The approach discussed here is selection sort and will explain how to implement a selection sort on an array.

   

{{{Body}}}

Selection Sort

Selection sorts are used to sort the array into ascending (or descending) order. The idea behind a selection sort is very simple: iterate through each element in the array, and for each element, look at all remaining elements to see if there is something smaller that should be in this position. If there is, exchange the two values.

Example: sort this array

|30|10|20|40|60|

1) Outer loop: iterate through each element

i = 0 (30)

2) Inner loop: iterate through the remaining elements to find a smaller element that should be in this position

j = 1 (10)

3) Since the element at i is greater than the element at j, swap them - the array will now be:

|10|30|20|40|60|

4) Again with the inner loop, we will move to the next element and compare:

i = 0 (10), j = 2 (20)

Since all the other elements in the list are greater than the 0th (10), nothing else will happen for this outer loop.

Loop 2: In the outer loop, we will move to the next element (1) and loop through the remaining elements (starting at 2)

i = 1 (30), j = 2(20)

Since the element at i is greater than the element at j, swap them and continue, giving us this array (which is now sorted!)

|10|20|30|40|60|

Here is an example of a very simple selection sorting algorithm:

// Selection sort algorithm

public static void selectionSort(int[] haystack) {
    for (int i = 0; i < haystack.length - 1; i++) {
        for (int j = i + 1; j < haystack.length; j++) {
            if (haystack[i] > haystack[j]) {
                //... Exchange elements
                int temp = haystack[i];
                haystack[i] = haystack[j];
                haystack[j] = temp;
            }
        }
    }
}