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package algs63; // section 6.3
import stdlib.*;
/* ***********************************************************************
* Compilation: javac Manber.java
* Execution: java Manber < text.txt
* Dependencies: In.java
*
* Reads a text corpus from stdin and suffix sorts it in subquadratic
* time using a variant of XManber's algorithm.
*
* NOTE: I THINK THIS IS CYCLIC SUFFIX SORTING
*
*************************************************************************/
public class XManber {
private final int N; // length of input string
private final String text; // input text
private final int[] index; // offset of ith string in order
private final int[] rank; // rank of ith string
private final int[] newrank; // rank of ith string (temporary)
private int offset;
public XManber(String s) {
N = s.length();
text = s;
index = new int[N+1];
rank = new int[N+1];
newrank = new int[N+1];
// sentinels
index[N] = N;
rank[N] = -1;
msd();
doit();
}
// do one pass of msd sorting by rank at given offset
private void doit() {
for (offset = 1; offset < N; offset += offset) {
StdOut.println("offset = " + offset);
int count = 0;
for (int i = 1; i <= N; i++) {
if (rank[index[i]] == rank[index[i-1]]) count++;
else if (count > 0) {
// sort
int left = i-1-count;
int right = i-1;
quicksort(left, right);
// now fix up ranks
int r = rank[index[left]];
for (int j = left + 1; j <= right; j++) {
if (less(index[j-1], index[j])) {
r = rank[index[left]] + j - left;
}
newrank[index[j]] = r;
}
// copy back - note can't update rank too eagerly
for (int j = left + 1; j <= right; j++) {
rank[index[j]] = newrank[index[j]];
}
count = 0;
}
}
}
}
// sort by leading char, assumes extended ASCII (256 values)
private void msd() {
// calculate frequencies
int[] freq = new int[256];
for (int i = 0; i < N; i++)
freq[text.charAt(i)]++;
// calculate cumulative frequencies
int[] cumm = new int[256];
for (int i = 1; i < 256; i++)
cumm[i] = cumm[i-1] + freq[i-1];
// compute ranks
for (int i = 0; i < N; i++)
rank[i] = cumm[text.charAt(i)];
// sort by first char
for (int i = 0; i < N; i++)
index[cumm[text.charAt(i)]++] = i;
}
// for debugging
public void show() {
String texttext = text + text; // make cyclic
StdOut.println("j, rank[index[j]], index[j]");
for (int i = 0; i < N; i++) {
String s = texttext.substring(index[i], index[i] + Math.min(40, N));
StdOut.println(s + " " + i + " " + rank[index[i]] + " " + index[i]);
}
StdOut.println();
}
// test client
public static void main(String[] args) {
String s = StdIn.readAll();
XManber m = new XManber(s);
m.show();
}
/* ********************************************************************
* Helper functions for comparing suffixes.
**********************************************************************/
/* ********************************************************************
* Is the substring text[v..N] lexicographically less than the
* substring text[w..N] ?
**********************************************************************/
private boolean less(int v, int w) {
if (v + offset >= N) v -= N;
if (w + offset >= N) w -= N;
return rank[v + offset] < rank[w + offset];
}
/* ***********************************************************************
* Quicksort code from Sedgewick 7.1, 7.2.
*************************************************************************/
// swap pointer sort indices
private void exch(int i, int j) {
int swap = index[i];
index[i] = index[j];
index[j] = swap;
}
// SUGGEST REPLACING WITH 3-WAY QUICKSORT SINCE ELEMENTS ARE
// RANKS AND THERE MAY BE DUPLICATES
void quicksort(int l, int r) {
if (r <= l) return;
int i = partition(l, r);
quicksort(l, i-1);
quicksort(i+1, r);
}
int partition(int l, int r) {
int i = l-1, j = r;
int v = index[r];
while (true) {
// find item on left to swap
while (less(index[++i], v))
;
// find item on right to swap
while (less(v, index[--j]))
if (j == l) break;
// check if pointers cross
if (i >= j) break;
exch(i, j);
}
// swap with partition element
exch(i, r);
return i;
}
}
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