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    <p>I don't know python, but the following C# code works if that's any help.</p> <pre class="lang-cs prettyprint-override"><code>public class EditDistanceCalculator { public double SubstitutionCost { get; private set; } public double DeletionCost { get; private set; } public double InsertionCost { get; private set; } public EditDistanceCalculator() : this(1,1, 1) { } public EditDistanceCalculator(double substitutionCost, double insertionCost, double deletionCost) { InsertionCost = insertionCost; DeletionCost = deletionCost; SubstitutionCost = substitutionCost; } public Move[] CalcEditDistance(string s, string t) { if (s == null) throw new ArgumentNullException("s"); if (t == null) throw new ArgumentNullException("t"); var distances = new Cell[s.Length + 1, t.Length + 1]; for (int i = 0; i &lt;= s.Length; i++) distances[i, 0] = new Cell(i, Move.Delete); for (int j = 0; j &lt;= t.Length; j++) distances[0, j] = new Cell(j, Move.Insert); for (int i = 1; i &lt;= s.Length; i++) for (int j = 1; j &lt;= t.Length; j++) distances[i, j] = CalcEditDistance(distances, s, t, i, j); return GetEdit(distances, s.Length, t.Length); } private Cell CalcEditDistance(Cell[,] distances, string s, string t, int i, int j) { var cell = s[i - 1] == t[j - 1] ? new Cell(distances[i - 1, j - 1].Cost, Move.Match) : new Cell(SubstitutionCost + distances[i - 1, j - 1].Cost, Move.Substitute); double deletionCost = DeletionCost + distances[i - 1, j].Cost; if (deletionCost &lt; cell.Cost) cell = new Cell(deletionCost, Move.Delete); double insertionCost = InsertionCost + distances[i, j - 1].Cost; if (insertionCost &lt; cell.Cost) cell = new Cell(insertionCost, Move.Insert); return cell; } private static Move[] GetEdit(Cell[,] distances, int i, int j) { var moves = new Stack&lt;Move&gt;(); while (i &gt; 0 &amp;&amp; j &gt; 0) { var move = distances[i, j].Move; moves.Push(move); switch (move) { case Move.Match: case Move.Substitute: i--; j--; break; case Move.Insert: j--; break; case Move.Delete: i--; break; default: throw new ArgumentOutOfRangeException(); } } for (int k = 0; k &lt; i; k++) moves.Push(Move.Delete); for (int k = 0; k &lt; j; k++) moves.Push(Move.Insert); return moves.ToArray(); } class Cell { public double Cost { get; private set; } public Move Move { get; private set; } public Cell(double cost, Move move) { Cost = cost; Move = move; } } } public enum Move { Match, Substitute, Insert, Delete } </code></pre> <p>Some tests:</p> <pre><code> [TestMethod] public void TestEditDistance() { var expected = new[] { Move.Delete, Move.Substitute, Move.Match, Move.Match, Move.Match, Move.Match, Move.Match, Move.Insert, Move.Substitute, Move.Match, Move.Substitute, Move.Match, Move.Match, Move.Match, Move.Match }; Assert.IsTrue(expected.SequenceEqual(new EditDistanceCalculator().CalcEditDistance("thou-shalt-not", "you-should-not"))); var calc = new EditDistanceCalculator(3, 1, 1); var edit = calc.CalcEditDistance("democrat", "republican"); Console.WriteLine(string.Join(",", edit)); Assert.AreEqual(3, edit.Count(m =&gt; m == Move.Match)); //eca } </code></pre>
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    1. USOhad Schneider
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