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134
intromat/NodeNetwork/Utilities/LongestCommonSubsequence.cs
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134
intromat/NodeNetwork/Utilities/LongestCommonSubsequence.cs
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using System;
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using System.Collections.Generic;
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using System.Linq;
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namespace NodeNetwork.Utilities
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{
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//Class for calculating the longest common subsequence of two lists
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//For example: the LCS of 'computer' and 'houseboat' is 'out'
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public class LongestCommonSubsequence
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{
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/// <summary>
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/// The type of change that occured.
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/// </summary>
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public enum ChangeType
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{
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Removed, Added
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}
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/// <summary>
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/// Returns the changes to be made to oldList to reach the state of newList.
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/// First all items that are in oldList but not in the LCS of oldList and newList are removed.
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/// The list is then identical to the LCS of oldList and newList.
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/// Then all items that are in newList but not in the LCS of oldList and newList are added.
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/// The list is then identical to newList.
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/// </summary>
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/// <typeparam name="T">The type of items contained in the two lists</typeparam>
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/// <param name="oldList">The first list</param>
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/// <param name="newList">The second list</param>
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/// <returns></returns>
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public static IEnumerable<(int index, T item, ChangeType change)> GetChanges<T>(IList<T> oldList, IList<T> newList)
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{
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if (oldList == null)
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{
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throw new ArgumentNullException(nameof(oldList));
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}else if (newList == null)
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{
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throw new ArgumentNullException(nameof(newList));
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}
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T[] lcs = LongestCommonSubsequence.Calculate(oldList, newList).ToArray();
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//Initial data => LCS
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int lcsCursor = lcs.Length - 1;
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for (int initialDataCursor = oldList.Count - 1; initialDataCursor >= 0; initialDataCursor--)
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{
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if (lcsCursor >= 0 && oldList[initialDataCursor].Equals(lcs[lcsCursor]))
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{
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lcsCursor--;
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}
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else
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{
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yield return (initialDataCursor, oldList[initialDataCursor], ChangeType.Removed);
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}
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}
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//LCS => newdata
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lcsCursor = 0;
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for (int newDataCursor = 0; newDataCursor < newList.Count; newDataCursor++)
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{
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if (lcsCursor < lcs.Length && newList[newDataCursor].Equals(lcs[lcsCursor]))
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{
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lcsCursor++;
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}
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else
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{
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yield return (newDataCursor, newList[newDataCursor], ChangeType.Added);
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}
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}
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}
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/// <summary>
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/// Returns the longest common subsequence of two lists
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/// For example: the LCS of 'computer' and 'houseboat' is 'out'
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/// </summary>
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/// <typeparam name="T">The type of items contained in the two lists</typeparam>
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/// <param name="seq1">The first list</param>
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/// <param name="seq2">The second list</param>
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/// <returns>An enumerable of items that are both in seq1 and seq2 and which follows the consecutive order of both lists</returns>
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public static IEnumerable<T> Calculate<T>(IList<T> seq1, IList<T> seq2)
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{
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int[,] matrix = CalculateLCSMatrix(seq1, seq2);
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return Backtrack(seq1, seq2, matrix).Reverse();
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}
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private static int[,] CalculateLCSMatrix<T>(IList<T> seq1, IList<T> seq2)
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{
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int[,] matrix = new int[seq1.Count + 1, seq2.Count + 1];
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for (int i = 1; i < matrix.GetLength(0); i++)
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{
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for (int j = 1; j < matrix.GetLength(1); j++)
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{
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if (seq1[i - 1].Equals(seq2[j - 1]))
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{
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matrix[i, j] = matrix[i - 1, j - 1] + 1;
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}
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else
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{
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matrix[i, j] = Math.Max(matrix[i - 1, j], matrix[i, j - 1]);
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}
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}
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}
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return matrix;
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}
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private static IEnumerable<T> Backtrack<T>(IList<T> seq1, IList<T> seq2, int[,] matrix)
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{
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int i = matrix.GetLength(0) - 1;
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int j = matrix.GetLength(1) - 1;
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bool done = false;
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while (!done)
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{
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if (i > 0 && j > 0 && seq1[i - 1].Equals(seq2[j - 1]))
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{
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yield return seq1[i - 1];
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i -= 1;
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j -= 1;
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}
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else if (j > 0 && (i == 0 || matrix[i, j - 1] >= matrix[i - 1, j]))
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{
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j -= 1;
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}
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else if (i > 0 && (j == 0 || matrix[i, j - 1] < matrix[i - 1, j]))
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{
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i -= 1;
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}
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else
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{
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done = true;
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}
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}
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}
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}
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}
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