using System.Collections.Generic;
namespace Algorithms.Strings.PatternMatching;
public class KnuthMorrisPrattSearcher
{
/// <summary>
/// An implementation of Knuth–Morris–Pratt Algorithm.
/// Worst case time complexity: O(n + k)
/// where n - text length, k - pattern length.
/// </summary>
/// <param name="str">The string to look in.</param>
/// <param name="pat">The pattern to look for.</param>
/// <returns>
/// The zero-based positions of all occurrences of <paramref name="pat" /> in <paramref name="str" />.
/// </returns>
public IEnumerable<int> FindIndexes(string str, string pat)
{
var lps = FindLongestPrefixSuffixValues(pat);
for (int i = 0, j = 0; i < str.Length;)
{
if (pat[j] == str[i])
{
j++;
i++;
}
if (j == pat.Length)
{
yield return i - j;
j = lps[j - 1];
continue;
}
if (i < str.Length && pat[j] != str[i])
{
if (j != 0)
{
j = lps[j - 1];
}
else
{
i += 1;
}
}
}
}
/// <summary>
/// Return the longest prefix suffix values for pattern.
/// </summary>
/// <param name="pat">pattern to seek.</param>
/// <returns>The longest prefix suffix values for <paramref name="pat" />.</returns>
public int[] FindLongestPrefixSuffixValues(string pat)
{
var lps = new int[pat.Length];
for (int i = 1, len = 0; i < pat.Length;)
{
if (pat[i] == pat[len])
{
len++;
lps[i] = len;
i++;
continue;
}
if (len != 0)
{
len = lps[len - 1];
}
else
{
lps[i] = 0;
i++;
}
}
return lps;
}
}