KMP.java
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/******************************************************************************
* Compilation: javac KMP.java
* Execution: java KMP pattern text
* Dependencies: StdOut.java
*
* Reads in two strings, the pattern and the input text, and
* searches for the pattern in the input text using the
* KMP algorithm.
*
* % java KMP abracadabra abacadabrabracabracadabrabrabracad
* text: abacadabrabracabracadabrabrabracad
* pattern: abracadabra
*
* % java KMP rab abacadabrabracabracadabrabrabracad
* text: abacadabrabracabracadabrabrabracad
* pattern: rab
*
* % java KMP bcara abacadabrabracabracadabrabrabracad
* text: abacadabrabracabracadabrabrabracad
* pattern: bcara
*
* % java KMP rabrabracad abacadabrabracabracadabrabrabracad
* text: abacadabrabracabracadabrabrabracad
* pattern: rabrabracad
*
* % java KMP abacad abacadabrabracabracadabrabrabracad
* text: abacadabrabracabracadabrabrabracad
* pattern: abacad
*
******************************************************************************/
package edu.princeton.cs.algs4;
/**
* The {@code KMP} class finds the first occurrence of a pattern string
* in a text string.
* <p>
* This implementation uses a version of the Knuth-Morris-Pratt substring search
* algorithm. The version takes time as space proportional to
* <em>N</em> + <em>M R</em> in the worst case, where <em>N</em> is the length
* of the text string, <em>M</em> is the length of the pattern, and <em>R</em>
* is the alphabet size.
* <p>
* For additional documentation,
* see <a href="http://algs4.cs.princeton.edu/53substring">Section 5.3</a> of
* <i>Algorithms, 4th Edition</i> by Robert Sedgewick and Kevin Wayne.
*/
public class KMP {
private final int R; // the radix
private int[][] dfa; // the KMP automoton
private char[] pattern; // either the character array for the pattern
private String pat; // or the pattern string
/**
* Preprocesses the pattern string.
*
* @param pat the pattern string
*/
public KMP(String pat) {
this.R = 256;
this.pat = pat;
// build DFA from pattern
int m = pat.length();
dfa = new int[R][m];
dfa[pat.charAt(0)][0] = 1;
for (int x = 0, j = 1; j < m; j++) {
for (int c = 0; c < R; c++)
dfa[c][j] = dfa[c][x]; // Copy mismatch cases.
dfa[pat.charAt(j)][j] = j+1; // Set match case.
x = dfa[pat.charAt(j)][x]; // Update restart state.
}
}
/**
* Preprocesses the pattern string.
*
* @param pattern the pattern string
* @param R the alphabet size
*/
public KMP(char[] pattern, int R) {
this.R = R;
this.pattern = new char[pattern.length];
for (int j = 0; j < pattern.length; j++)
this.pattern[j] = pattern[j];
// build DFA from pattern
int m = pattern.length;
dfa = new int[R][m];
dfa[pattern[0]][0] = 1;
for (int x = 0, j = 1; j < m; j++) {
for (int c = 0; c < R; c++)
dfa[c][j] = dfa[c][x]; // Copy mismatch cases.
dfa[pattern[j]][j] = j+1; // Set match case.
x = dfa[pattern[j]][x]; // Update restart state.
}
}
/**
* Returns the index of the first occurrrence of the pattern string
* in the text string.
*
* @param txt the text string
* @return the index of the first occurrence of the pattern string
* in the text string; N if no such match
*/
public int search(String txt) {
// simulate operation of DFA on text
int m = pat.length();
int n = txt.length();
int i, j;
for (i = 0, j = 0; i < n && j < m; i++) {
j = dfa[txt.charAt(i)][j];
}
if (j == m) return i - m; // found
return n; // not found
}
/**
* Returns the index of the first occurrrence of the pattern string
* in the text string.
*
* @param text the text string
* @return the index of the first occurrence of the pattern string
* in the text string; N if no such match
*/
public int search(char[] text) {
// simulate operation of DFA on text
int m = pattern.length;
int n = text.length;
int i, j;
for (i = 0, j = 0; i < n && j < m; i++) {
j = dfa[text[i]][j];
}
if (j == m) return i - m; // found
return n; // not found
}
/**
* Takes a pattern string and an input string as command-line arguments;
* searches for the pattern string in the text string; and prints
* the first occurrence of the pattern string in the text string.
*
* @param args the command-line arguments
*/
public static void main(String[] args) {
String pat = args[0];
String txt = args[1];
char[] pattern = pat.toCharArray();
char[] text = txt.toCharArray();
KMP kmp1 = new KMP(pat);
int offset1 = kmp1.search(txt);
KMP kmp2 = new KMP(pattern, 256);
int offset2 = kmp2.search(text);
// print results
StdOut.println("text: " + txt);
StdOut.print("pattern: ");
for (int i = 0; i < offset1; i++)
StdOut.print(" ");
StdOut.println(pat);
StdOut.print("pattern: ");
for (int i = 0; i < offset2; i++)
StdOut.print(" ");
StdOut.println(pat);
}
}
/******************************************************************************
* Copyright 2002-2016, Robert Sedgewick and Kevin Wayne.
*
* This file is part of algs4.jar, which accompanies the textbook
*
* Algorithms, 4th edition by Robert Sedgewick and Kevin Wayne,
* Addison-Wesley Professional, 2011, ISBN 0-321-57351-X.
* http://algs4.cs.princeton.edu
*
*
* algs4.jar is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* algs4.jar is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with algs4.jar. If not, see http://www.gnu.org/licenses.
******************************************************************************/