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// Exercise 2.2.11 (Solution published at http://algs4.cs.princeton.edu/)
package algs22;
import stdlib.*;
/* ***********************************************************************
* Compilation: javac MergeX.java
* Execution: java MergeX < input.txt
* Dependencies: StdOut.java StdIn.java
* Data files: http://algs4.cs.princeton.edu/22merge/tiny.txt
* http://algs4.cs.princeton.edu/22merge/words3.txt
*
* Sorts a sequence of strings from standard input using an
* optimized version of mergesort.
*
* % more tiny.txt
* S O R T E X A M P L E
*
* % java MergeX < tiny.txt
* A E E L M O P R S T X [ one string per line ]
*
* % more words3.txt
* bed bug dad yes zoo ... all bad yet
*
* % java MergeX < words3.txt
* all bad bed bug dad ... yes yet zoo [ one string per line ]
*
*************************************************************************/
public class XMergeX {
private static final int CUTOFF = 7; // cutoff to insertion sort
private static <T extends Comparable<? super T>> void merge(T[] src, T[] dst, int lo, int mid, int hi) {
// precondition: src[lo .. mid] and src[mid+1 .. hi] are sorted subarrays
assert isSorted(src, lo, mid);
assert isSorted(src, mid+1, hi);
int i = lo, j = mid+1;
for (int k = lo; k <= hi; k++) {
if (i > mid) dst[k] = src[j++];
else if (j > hi) dst[k] = src[i++];
else if (less(src[j], src[i])) dst[k] = src[j++]; // to ensure stability
else dst[k] = src[i++];
}
if (COUNT_OPS) DoublingTest.addOps (hi-lo);
// postcondition: dst[lo .. hi] is sorted subarray
assert isSorted(dst, lo, hi);
}
private static <T extends Comparable<? super T>> void sort(T[] src, T[] dst, int lo, int hi) {
if (hi <= lo + CUTOFF) {
insertionSort(src, lo, hi);
return;
}
int mid = lo + (hi - lo) / 2;
sort(dst, src, lo, mid);
sort(dst, src, mid+1, hi);
/*
if (!less(dst[mid+1], dst[mid])) {
for (int i = lo; i <= hi; i++) src[i] = dst[i];
return;
}
*/
// a bit faster
if (!less(dst[mid+1], dst[mid])) {
System.arraycopy(dst, lo, src, lo, hi - lo + 1);
return;
}
merge(dst, src, lo, mid, hi);
}
public static <T extends Comparable<? super T>> void sort(T[] a) {
/*
Comparable[] aux = new Comparable[a.length];
for (int i = 0; i < a.length; i++)
aux[i] = a[i];
*/
// a bit faster
T[] aux = a.clone();
sort(a, aux, 0, a.length-1);
assert isSorted(a);
}
// sort from a[lo] to a[hi] using insertion sort
private static <T extends Comparable<? super T>> void insertionSort(T[] a, int lo, int hi) {
for (int i = lo; i <= hi; i++)
for (int j = i; j > lo && less(a[j], a[j-1]); j--)
exch(a, j, j-1);
}
// exchange a[i] and a[j]
private static <T> void exch(T[] a, int i, int j) {
if (COUNT_OPS) DoublingTest.incOps ();
T swap = a[i];
a[i] = a[j];
a[j] = swap;
}
// is a[i] < a[j]?
private static <T extends Comparable<? super T>> boolean less(T a, T b) {
if (COUNT_OPS) DoublingTest.incOps ();
return (a.compareTo(b) < 0);
}
/* *********************************************************************
* Check if array is sorted - useful for debugging
***********************************************************************/
private static <T extends Comparable<? super T>> boolean isSorted(T[] a) {
return isSorted(a, 0, a.length - 1);
}
private static <T extends Comparable<? super T>> boolean isSorted(T[] a, int lo, int hi) {
for (int i = lo + 1; i <= hi; i++)
if (less(a[i], a[i-1])) return false;
return true;
}
// print array to standard output
private static <T> void show(T[] a) {
for (T element : a) {
StdOut.println(element);
}
}
// test code
private static boolean COUNT_OPS = false;
public static void main(String[] args) {
StdIn.fromFile ("data/words3.txt");
String[] a = StdIn.readAllStrings();
sort(a);
show(a);
COUNT_OPS = true;
DoublingTest.run (20000, 5, N -> ArrayGenerator.integerRandomUnique (N), (Integer[] x) -> sort (x));
DoublingTest.run (20000, 5, N -> ArrayGenerator.integerRandom (N, 2), (Integer[] x) -> sort (x));
DoublingTest.run (20000, 5, N -> ArrayGenerator.integerPartiallySortedUnique (N), (Integer[] x) -> sort (x));
}
}
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