KMP Algorithm in C

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Given a text txt and a pattern pat, the objective of this program will be to print all the occurance of pat in txt.

Examples:

Input:

txt[] =  "THIS IS A TEST TEXT"
pat[] = "TEST"

output:

Pattern found at index 10

Input:

txt[] =  "AABAACAADAABAAABAA"
pat[] = "AABA"

output:

Pattern found at index 0
Pattern found at index 9
Pattern found at index 13

C Language Implementation:

// C program for implementation of KMP pattern searching 
// algorithm
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
 
void computeLPSArray(char *pat, int M, int *lps);
 
void KMPSearch(char *pat, char *txt)
{
    int M = strlen(pat);
    int N = strlen(txt);
 
    // create lps[] that will hold the longest prefix suffix
    // values for pattern
    int *lps = (int *)malloc(sizeof(int)*M);
    int j  = 0;  // index for pat[]
 
    // Preprocess the pattern (calculate lps[] array)
    computeLPSArray(pat, M, lps);
 
    int i = 0;  // index for txt[]
    while (i < N)
    {
      if (pat[j] == txt[i])
      {
        j++;
        i++;
      }
 
      if (j == M)
      {
        printf("Found pattern at index %d \n", i-j);
        j = lps[j-1];
      }
 
      // mismatch after j matches
      else if (i < N && pat[j] != txt[i])
      {
        // Do not match lps[0..lps[j-1]] characters,
        // they will match anyway
        if (j != 0)
         j = lps[j-1];
        else
         i = i+1;
      }
    }
    free(lps); // to avoid memory leak
}
 
void computeLPSArray(char *pat, int M, int *lps)
{
    int len = 0;  // length of the previous longest prefix suffix
    int i;
 
    lps[0] = 0; // lps[0] is always 0
    i = 1;
 
    // the loop calculates lps[i] for i = 1 to M-1
    while (i < M)
    {
       if (pat[i] == pat[len])
       {
         len++;
         lps[i] = len;
         i++;
       }
       else // (pat[i] != pat[len])
       {
         if (len != 0)
         {
           // This is tricky. Consider the example 
           // AAACAAAA and i = 7.
           len = lps[len-1];
 
           // Also, note that we do not increment i here
         }
         else // if (len == 0)
         {
           lps[i] = 0;
           i++;
         }
       }
    }
}
 
// Driver program to test above function
int main()
{
   char *txt = "ABABDABACDABABCABAB";
   char *pat = "ABABCABAB";
   KMPSearch(pat, txt);
   return 0;
}

Output:

Found pattern at index 10

Reference:

http://www.geeksforgeeks.org/searching-for-patterns-set-2-kmp-algorithm/

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