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using System;
using System.Linq;
using System.Collections.Generic;
namespace MileageTraker.Web.Utility
{
public static class Algorithms
{
public static double Similarity<T>(IEnumerable<T> x, IEnumerable<T> y)
where T : IEquatable<T>
{
return 1.0 - (double)EditDistance(x, y) / Math.Max(x.Count(), y.Count());
}
/// <SUMMARY>Computes the Levenshtein Edit Distance between two enumerables.</SUMMARY>
/// <TYPEPARAM name="T">The type of the items in the enumerables.</TYPEPARAM>
/// <PARAM name="x">The first enumerable.</PARAM>
/// <PARAM name="y">The second enumerable.</PARAM>
/// <RETURNS>The edit distance.</RETURNS>
/// <remarks>http://blogs.msdn.com/b/toub/archive/2006/05/05/590814.aspx</remarks>
public static int EditDistance<T>(IEnumerable<T> x, IEnumerable<T> y)
where T : IEquatable<T>
{
// Validate parameters
if (x == null) throw new ArgumentNullException("x");
if (y == null) throw new ArgumentNullException("y");
// Convert the parameters into IList instances
// in order to obtain indexing capabilities
var first = x as IList<T> ?? new List<T>(x);
var second = y as IList<T> ?? new List<T>(y);
// Get the length of both. If either is 0, return
// the length of the other, since that number of insertions
// would be required.
int n = first.Count, m = second.Count;
if (n == 0) return m;
if (m == 0) return n;
// Rather than maintain an entire matrix (which would require O(n*m) space),
// just store the current row and the next row, each of which has a length m+1,
// so just O(m) space. Initialize the current row.
int curRow = 0, nextRow = 1;
var rows = new[] {new int[m + 1], new int[m + 1]};
for (var j = 0; j <= m; ++j) rows[curRow][j] = j;
// For each virtual row (since we only have physical storage for two)
for (var i = 1; i <= n; ++i)
{
// Fill in the values in the row
rows[nextRow][0] = i;
for (var j = 1; j <= m; ++j)
{
int dist1 = rows[curRow][j] + 1;
int dist2 = rows[nextRow][j - 1] + 1;
int dist3 = rows[curRow][j - 1] +
(first[i - 1].Equals(second[j - 1]) ? 0 : 1);
rows[nextRow][j] = Math.Min(dist1, Math.Min(dist2, dist3));
}
// Swap the current and next rows
if (curRow == 0)
{
curRow = 1;
nextRow = 0;
}
else
{
curRow = 0;
nextRow = 1;
}
}
// Return the computed edit distance
return rows[curRow][m];
}
public static bool IsChronological(DateTime existingDate, int existingNumber, DateTime date, int number)
{
return existingDate == date
|| existingNumber == number
|| existingDate < date && existingNumber < number
|| existingDate > date && existingNumber > number;
}
}
}