## Archive for the ‘Damerau’ Category

### Java example of Damerau Levenshtein distance

June 28, 2010

Similar to Levenshtein, Damerau-Levenshtein also calculates the distances between two strings. It based around comparing two string and counting the number of insertions, deletions, and substitution of single characters, and transposition of two characters.

This was, originally, aimed at spell checkers, it is also used for DNA sequences.

Wikipedia entry found be here:

```
public class DamerauLevenshtein
{
private String compOne;
private String compTwo;
private int[][] matrix;
private Boolean calculated = false;

public DamerauLevenshtein(String a, String b)
{
if ((a.length() > 0 || !a.isEmpty())  || (b.length() > 0 || !b.isEmpty()))
{
compOne = a;
compTwo = b;
}
}

public int[][] getMatrix()
{
setupMatrix();
return matrix;
}

public int getSimilarity()
{
if (!calculated) setupMatrix();

return matrix[compOne.length()][compTwo.length()];
}

private void setupMatrix()
{
int cost = -1;
int del, sub, ins;

matrix = new int[compOne.length()+1][compTwo.length()+1];

for (int i = 0; i <= compOne.length(); i++)
{
matrix[i][0] = i;
}

for (int i = 0; i <= compTwo.length(); i++)
{
matrix[0][i] = i;
}

for (int i = 1; i <= compOne.length(); i++)
{
for (int j = 1; j <= compTwo.length(); j++)
{
if (compOne.charAt(i-1) == compTwo.charAt(j-1))
{
cost = 0;
}
else
{
cost = 1;
}

del = matrix[i-1][j]+1;
ins = matrix[i][j-1]+1;
sub = matrix[i-1][j-1]+cost;

matrix[i][j] = minimum(del,ins,sub);

if ((i > 1) && (j > 1) && (compOne.charAt(i-1) == compTwo.charAt(j-2)) && (compOne.charAt(i-2) == compTwo.charAt(j-1)))
{
matrix[i][j] = minimum(matrix[i][j], matrix[i-2][j-2]+cost);
}
}
}

calculated = true;
displayMatrix();
}

private void displayMatrix()
{
System.out.println("  "+compOne);
for (int y = 0; y <= compTwo.length(); y++)
{
if (y-1 < 0) System.out.print(" "); else System.out.print(compTwo.charAt(y-1));
for (int x = 0; x <= compOne.length(); x++)
{
System.out.print(matrix[x][y]);
}
System.out.println();
}
}

private int minimum(int d, int i, int s)
{
int m = Integer.MAX_VALUE;

if (d < m) m = d;
if (i < m) m = i;
if (s < m) m = s;

return m;
}

private int minimum(int d, int t)
{
int m = Integer.MAX_VALUE;

if (d < m) m = d;
if (t < m) m = t;

return m;
}
}

```

Further to the comments and observations of @zooz (see comments below), I have to apologise and advise that the code above is actually the Optimal String Alignment Distance Algorithm rather than Damerau Levenshtein. Here is the Damerau Levenshtein code in Java:

```public int getDHSimilarity()
{
int res = -1;
int INF = compOne.length() + compTwo.length();

matrix = new int[compOne.length()+1][compTwo.length()+1];

for (int i = 0; i < compOne.length(); i++)
{
matrix[i+1][1] = i;
matrix[i+1][0] = INF;
}

for (int i = 0; i < compTwo.length(); i++)
{
matrix[1][i+1] = i;
matrix[0][i+1] = INF;
}

int[] DA = new int[24];

for (int i = 0; i < 24; i++)
{
DA[i] = 0;
}

for (int i = 1; i < compOne.length(); i++)
{
int db = 0;

for (int j = 1; j < compTwo.length(); j++)
{

int i1 = DA[compTwo.indexOf(compTwo.charAt(j-1))];
int j1 = db;
int d = ((compOne.charAt(i-1)==compTwo.charAt(j-1))?0:1);
if (d == 0) db = j;

matrix[i+1][j+1] = Math.min(Math.min(matrix[i][j]+d, matrix[i+1][j]+1),Math.min(matrix[i][j+1]+1,matrix[i1][j1]+(i - i1-1)+1+(j-j1-1)));
}
DA[compOne.indexOf(compOne.charAt(i-1))] = i;
}

return matrix[compOne.length()][compTwo.length()];
}
```