Question

Simulate the performances of different sorting algorithms with randomly generated input data and measure their execution time.

Input:
Randomly generated positive integers (ranges from 0 to 100000). The numbers of input should be 1000, 5000, 10,000, 50,000 and 1000,000 which will be stored into one dimensional array. Each sorting algorithm will use the same input.

Algorithms:
• Insertion Sort
• Shellsort – For increment sequence, use sequence suggested by Shell hk = floor(hk+1/2).
• Heapsort - Use O(NlogN) algorithm
• Quicksort – Use Median-of-Three Partitioning.

Output:

Run each algorithm and print out the following results:

1. Print out the running time of algorithms for each input data and draw a graph for the running times..
2. Print out the number of swaps for each algorithm.

NOTE: If the run time of an algorithm is more than 10 mins, stop running of the algorithm.

Solution Preview

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import java.util.Random;
import java.math.MathContext;;

public class SortCompare
{
public static long numberOfChanges;
    public static void insertionSort( int [ ] a )
    {
    int j;
    for( int p = 1; p < a.length; p++ )
    {
    int tmp = a[ p ];
    for( j = p; j > 0 && tmp < a[ j - 1 ] ; j-- )
    {
    a[ j ] = a[ j - 1 ];
    numberOfChanges++;
    }
    a[ j ] = tmp;
    numberOfChanges++;
    }
    }
   
    public static void shellSort( int [ ] a )
    {
    int j;

    for( int gap = a.length / 2; gap > 0; gap /= 2 )
    for( int i = gap; i < a.length; i++ )
    {
    int tmp = a[ i ];
    for( j = i; j >= gap && tmp < a[ j - gap ]; j -= gap )
    {
    a[ j ] = a[ j - gap ];
    numberOfChanges++;
    }
    a[ j ] = tmp;
    numberOfChanges++;
    }
    }...

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