Insertion Sorter Algorithm
Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.
However, insertion sort provides several advantages:
1. Simple implementation: Jon Bentley shows a three-line c version, and a five-line optimized version
Efficient for (quite) small data sets, much like other quadratic sorting algorithmsAdaptive, i.e., efficient for data sets that are already substantially sorted: the time complexity is O(kn) when each component in the input is no more than K places away from its sorted position
2. Stable; i.e., makes not change the relative order of components with equal keys
using System.Collections.Generic;
namespace Algorithms.Sorters.Comparison
{
/// <summary>
/// Class that implements insertion sort algorithm.
/// </summary>
/// <typeparam name="T">Type of array element.</typeparam>
public class InsertionSorter<T> : IComparisonSorter<T>
{
/// <summary>
/// Sorts array using specified comparer,
/// internal, in-place, stable,
/// time complexity: O(n^2),
/// space complexity: O(1),
/// where n - array length.
/// </summary>
/// <param name="array">Array to sort.</param>
/// <param name="comparer">Compares elements.</param>
public void Sort(T[] array, IComparer<T> comparer)
{
for (var i = 0; i < array.Length - 1; i++)
{
var imin = i;
for (var j = i + 1; j < array.Length; j++)
{
if (comparer.Compare(array[j], array[imin]) < 0)
{
imin = j;
}
}
var t = array[imin];
array[imin] = array[i];
array[i] = t;
}
}
}
}
