Arrays.java revision 669c2cc344614fd721cfff2e7a9e80ad6e8b368c
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25
26package java.util;
27
28import java.lang.reflect.*;
29
30/**
31 * This class contains various methods for manipulating arrays (such as
32 * sorting and searching). This class also contains a static factory
33 * that allows arrays to be viewed as lists.
34 *
35 * <p>The methods in this class all throw a {@code NullPointerException},
36 * if the specified array reference is null, except where noted.
37 *
38 * <p>The documentation for the methods contained in this class includes
39 * briefs description of the <i>implementations</i>. Such descriptions should
40 * be regarded as <i>implementation notes</i>, rather than parts of the
41 * <i>specification</i>. Implementors should feel free to substitute other
42 * algorithms, so long as the specification itself is adhered to. (For
43 * example, the algorithm used by {@code sort(Object[])} does not have to be
44 * a MergeSort, but it does have to be <i>stable</i>.)
45 *
46 * <p>This class is a member of the
47 * <a href="{@docRoot}/../technotes/guides/collections/index.html">
48 * Java Collections Framework</a>.
49 *
50 * @author Josh Bloch
51 * @author Neal Gafter
52 * @author John Rose
53 * @since  1.2
54 */
55public class Arrays {
56
57    // Suppresses default constructor, ensuring non-instantiability.
58    private Arrays() {}
59
60    /*
61     * Sorting of primitive type arrays.
62     */
63
64    /**
65     * Sorts the specified array into ascending numerical order.
66     *
67     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
68     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
69     * offers O(n log(n)) performance on many data sets that cause other
70     * quicksorts to degrade to quadratic performance, and is typically
71     * faster than traditional (one-pivot) Quicksort implementations.
72     *
73     * @param a the array to be sorted
74     */
75    public static void sort(int[] a) {
76        DualPivotQuicksort.sort(a);
77    }
78
79    /**
80     * Sorts the specified range of the array into ascending order. The range
81     * to be sorted extends from the index {@code fromIndex}, inclusive, to
82     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
83     * the range to be sorted is empty.
84     *
85     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
86     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
87     * offers O(n log(n)) performance on many data sets that cause other
88     * quicksorts to degrade to quadratic performance, and is typically
89     * faster than traditional (one-pivot) Quicksort implementations.
90     *
91     * @param a the array to be sorted
92     * @param fromIndex the index of the first element, inclusive, to be sorted
93     * @param toIndex the index of the last element, exclusive, to be sorted
94     *
95     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
96     * @throws ArrayIndexOutOfBoundsException
97     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
98     */
99    public static void sort(int[] a, int fromIndex, int toIndex) {
100        rangeCheck(a.length, fromIndex, toIndex);
101        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
102    }
103
104    /**
105     * Sorts the specified array into ascending numerical order.
106     *
107     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
108     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
109     * offers O(n log(n)) performance on many data sets that cause other
110     * quicksorts to degrade to quadratic performance, and is typically
111     * faster than traditional (one-pivot) Quicksort implementations.
112     *
113     * @param a the array to be sorted
114     */
115    public static void sort(long[] a) {
116        DualPivotQuicksort.sort(a);
117    }
118
119    /**
120     * Sorts the specified range of the array into ascending order. The range
121     * to be sorted extends from the index {@code fromIndex}, inclusive, to
122     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
123     * the range to be sorted is empty.
124     *
125     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
126     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
127     * offers O(n log(n)) performance on many data sets that cause other
128     * quicksorts to degrade to quadratic performance, and is typically
129     * faster than traditional (one-pivot) Quicksort implementations.
130     *
131     * @param a the array to be sorted
132     * @param fromIndex the index of the first element, inclusive, to be sorted
133     * @param toIndex the index of the last element, exclusive, to be sorted
134     *
135     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
136     * @throws ArrayIndexOutOfBoundsException
137     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
138     */
139    public static void sort(long[] a, int fromIndex, int toIndex) {
140        rangeCheck(a.length, fromIndex, toIndex);
141        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
142    }
143
144    /**
145     * Sorts the specified array into ascending numerical order.
146     *
147     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
148     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
149     * offers O(n log(n)) performance on many data sets that cause other
150     * quicksorts to degrade to quadratic performance, and is typically
151     * faster than traditional (one-pivot) Quicksort implementations.
152     *
153     * @param a the array to be sorted
154     */
155    public static void sort(short[] a) {
156        DualPivotQuicksort.sort(a);
157    }
158
159    /**
160     * Sorts the specified range of the array into ascending order. The range
161     * to be sorted extends from the index {@code fromIndex}, inclusive, to
162     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
163     * the range to be sorted is empty.
164     *
165     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
166     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
167     * offers O(n log(n)) performance on many data sets that cause other
168     * quicksorts to degrade to quadratic performance, and is typically
169     * faster than traditional (one-pivot) Quicksort implementations.
170     *
171     * @param a the array to be sorted
172     * @param fromIndex the index of the first element, inclusive, to be sorted
173     * @param toIndex the index of the last element, exclusive, to be sorted
174     *
175     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
176     * @throws ArrayIndexOutOfBoundsException
177     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
178     */
179    public static void sort(short[] a, int fromIndex, int toIndex) {
180        rangeCheck(a.length, fromIndex, toIndex);
181        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
182    }
183
184    /**
185     * Sorts the specified array into ascending numerical order.
186     *
187     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
188     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
189     * offers O(n log(n)) performance on many data sets that cause other
190     * quicksorts to degrade to quadratic performance, and is typically
191     * faster than traditional (one-pivot) Quicksort implementations.
192     *
193     * @param a the array to be sorted
194     */
195    public static void sort(char[] a) {
196        DualPivotQuicksort.sort(a);
197    }
198
199    /**
200     * Sorts the specified range of the array into ascending order. The range
201     * to be sorted extends from the index {@code fromIndex}, inclusive, to
202     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
203     * the range to be sorted is empty.
204     *
205     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
206     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
207     * offers O(n log(n)) performance on many data sets that cause other
208     * quicksorts to degrade to quadratic performance, and is typically
209     * faster than traditional (one-pivot) Quicksort implementations.
210     *
211     * @param a the array to be sorted
212     * @param fromIndex the index of the first element, inclusive, to be sorted
213     * @param toIndex the index of the last element, exclusive, to be sorted
214     *
215     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
216     * @throws ArrayIndexOutOfBoundsException
217     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
218     */
219    public static void sort(char[] a, int fromIndex, int toIndex) {
220        rangeCheck(a.length, fromIndex, toIndex);
221        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
222    }
223
224    /**
225     * Sorts the specified array into ascending numerical order.
226     *
227     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
228     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
229     * offers O(n log(n)) performance on many data sets that cause other
230     * quicksorts to degrade to quadratic performance, and is typically
231     * faster than traditional (one-pivot) Quicksort implementations.
232     *
233     * @param a the array to be sorted
234     */
235    public static void sort(byte[] a) {
236        DualPivotQuicksort.sort(a);
237    }
238
239    /**
240     * Sorts the specified range of the array into ascending order. The range
241     * to be sorted extends from the index {@code fromIndex}, inclusive, to
242     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
243     * the range to be sorted is empty.
244     *
245     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
246     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
247     * offers O(n log(n)) performance on many data sets that cause other
248     * quicksorts to degrade to quadratic performance, and is typically
249     * faster than traditional (one-pivot) Quicksort implementations.
250     *
251     * @param a the array to be sorted
252     * @param fromIndex the index of the first element, inclusive, to be sorted
253     * @param toIndex the index of the last element, exclusive, to be sorted
254     *
255     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
256     * @throws ArrayIndexOutOfBoundsException
257     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
258     */
259    public static void sort(byte[] a, int fromIndex, int toIndex) {
260        rangeCheck(a.length, fromIndex, toIndex);
261        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
262    }
263
264    /**
265     * Sorts the specified array into ascending numerical order.
266     *
267     * <p>The {@code <} relation does not provide a total order on all float
268     * values: {@code -0.0f == 0.0f} is {@code true} and a {@code Float.NaN}
269     * value compares neither less than, greater than, nor equal to any value,
270     * even itself. This method uses the total order imposed by the method
271     * {@link Float#compareTo}: {@code -0.0f} is treated as less than value
272     * {@code 0.0f} and {@code Float.NaN} is considered greater than any
273     * other value and all {@code Float.NaN} values are considered equal.
274     *
275     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
276     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
277     * offers O(n log(n)) performance on many data sets that cause other
278     * quicksorts to degrade to quadratic performance, and is typically
279     * faster than traditional (one-pivot) Quicksort implementations.
280     *
281     * @param a the array to be sorted
282     */
283    public static void sort(float[] a) {
284        DualPivotQuicksort.sort(a);
285    }
286
287    /**
288     * Sorts the specified range of the array into ascending order. The range
289     * to be sorted extends from the index {@code fromIndex}, inclusive, to
290     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
291     * the range to be sorted is empty.
292     *
293     * <p>The {@code <} relation does not provide a total order on all float
294     * values: {@code -0.0f == 0.0f} is {@code true} and a {@code Float.NaN}
295     * value compares neither less than, greater than, nor equal to any value,
296     * even itself. This method uses the total order imposed by the method
297     * {@link Float#compareTo}: {@code -0.0f} is treated as less than value
298     * {@code 0.0f} and {@code Float.NaN} is considered greater than any
299     * other value and all {@code Float.NaN} values are considered equal.
300     *
301     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
302     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
303     * offers O(n log(n)) performance on many data sets that cause other
304     * quicksorts to degrade to quadratic performance, and is typically
305     * faster than traditional (one-pivot) Quicksort implementations.
306     *
307     * @param a the array to be sorted
308     * @param fromIndex the index of the first element, inclusive, to be sorted
309     * @param toIndex the index of the last element, exclusive, to be sorted
310     *
311     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
312     * @throws ArrayIndexOutOfBoundsException
313     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
314     */
315    public static void sort(float[] a, int fromIndex, int toIndex) {
316        rangeCheck(a.length, fromIndex, toIndex);
317        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
318    }
319
320    /**
321     * Sorts the specified array into ascending numerical order.
322     *
323     * <p>The {@code <} relation does not provide a total order on all double
324     * values: {@code -0.0d == 0.0d} is {@code true} and a {@code Double.NaN}
325     * value compares neither less than, greater than, nor equal to any value,
326     * even itself. This method uses the total order imposed by the method
327     * {@link Double#compareTo}: {@code -0.0d} is treated as less than value
328     * {@code 0.0d} and {@code Double.NaN} is considered greater than any
329     * other value and all {@code Double.NaN} values are considered equal.
330     *
331     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
332     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
333     * offers O(n log(n)) performance on many data sets that cause other
334     * quicksorts to degrade to quadratic performance, and is typically
335     * faster than traditional (one-pivot) Quicksort implementations.
336     *
337     * @param a the array to be sorted
338     */
339    public static void sort(double[] a) {
340        DualPivotQuicksort.sort(a);
341    }
342
343    /**
344     * Sorts the specified range of the array into ascending order. The range
345     * to be sorted extends from the index {@code fromIndex}, inclusive, to
346     * the index {@code toIndex}, exclusive. If {@code fromIndex == toIndex},
347     * the range to be sorted is empty.
348     *
349     * <p>The {@code <} relation does not provide a total order on all double
350     * values: {@code -0.0d == 0.0d} is {@code true} and a {@code Double.NaN}
351     * value compares neither less than, greater than, nor equal to any value,
352     * even itself. This method uses the total order imposed by the method
353     * {@link Double#compareTo}: {@code -0.0d} is treated as less than value
354     * {@code 0.0d} and {@code Double.NaN} is considered greater than any
355     * other value and all {@code Double.NaN} values are considered equal.
356     *
357     * <p>Implementation note: The sorting algorithm is a Dual-Pivot Quicksort
358     * by Vladimir Yaroslavskiy, Jon Bentley, and Joshua Bloch. This algorithm
359     * offers O(n log(n)) performance on many data sets that cause other
360     * quicksorts to degrade to quadratic performance, and is typically
361     * faster than traditional (one-pivot) Quicksort implementations.
362     *
363     * @param a the array to be sorted
364     * @param fromIndex the index of the first element, inclusive, to be sorted
365     * @param toIndex the index of the last element, exclusive, to be sorted
366     *
367     * @throws IllegalArgumentException if {@code fromIndex > toIndex}
368     * @throws ArrayIndexOutOfBoundsException
369     *     if {@code fromIndex < 0} or {@code toIndex > a.length}
370     */
371    public static void sort(double[] a, int fromIndex, int toIndex) {
372        rangeCheck(a.length, fromIndex, toIndex);
373        DualPivotQuicksort.sort(a, fromIndex, toIndex - 1);
374    }
375
376    /*
377     * Sorting of complex type arrays.
378     */
379
380    /**
381     * Old merge sort implementation can be selected (for
382     * compatibility with broken comparators) using a system property.
383     * Cannot be a static boolean in the enclosing class due to
384     * circular dependencies. To be removed in a future release.
385     */
386    static final class LegacyMergeSort {
387        // Android-changed: Never use circular merge sort.
388        private static final boolean userRequested = false;
389    }
390
391    /*
392     * If this platform has an optimizing VM, check whether ComparableTimSort
393     * offers any performance benefit over TimSort in conjunction with a
394     * comparator that returns:
395     *    {@code ((Comparable)first).compareTo(Second)}.
396     * If not, you are better off deleting ComparableTimSort to
397     * eliminate the code duplication.  In other words, the commented
398     * out code below is the preferable implementation for sorting
399     * arrays of Comparables if it offers sufficient performance.
400     */
401
402//    /**
403//     * A comparator that implements the natural ordering of a group of
404//     * mutually comparable elements.  Using this comparator saves us
405//     * from duplicating most of the code in this file (one version for
406//     * Comparables, one for explicit Comparators).
407//     */
408//    private static final Comparator<Object> NATURAL_ORDER =
409//            new Comparator<Object>() {
410//        @SuppressWarnings("unchecked")
411//        public int compare(Object first, Object second) {
412//            return ((Comparable<Object>)first).compareTo(second);
413//        }
414//    };
415//
416//    public static void sort(Object[] a) {
417//        sort(a, 0, a.length, NATURAL_ORDER);
418//    }
419//
420//    public static void sort(Object[] a, int fromIndex, int toIndex) {
421//        sort(a, fromIndex, toIndex, NATURAL_ORDER);
422//    }
423
424    /**
425     * Sorts the specified array of objects into ascending order, according
426     * to the {@linkplain Comparable natural ordering} of its elements.
427     * All elements in the array must implement the {@link Comparable}
428     * interface.  Furthermore, all elements in the array must be
429     * <i>mutually comparable</i> (that is, {@code e1.compareTo(e2)} must
430     * not throw a {@code ClassCastException} for any elements {@code e1}
431     * and {@code e2} in the array).
432     *
433     * <p>This sort is guaranteed to be <i>stable</i>:  equal elements will
434     * not be reordered as a result of the sort.
435     *
436     * <p>Implementation note: This implementation is a stable, adaptive,
437     * iterative mergesort that requires far fewer than n lg(n) comparisons
438     * when the input array is partially sorted, while offering the
439     * performance of a traditional mergesort when the input array is
440     * randomly ordered.  If the input array is nearly sorted, the
441     * implementation requires approximately n comparisons.  Temporary
442     * storage requirements vary from a small constant for nearly sorted
443     * input arrays to n/2 object references for randomly ordered input
444     * arrays.
445     *
446     * <p>The implementation takes equal advantage of ascending and
447     * descending order in its input array, and can take advantage of
448     * ascending and descending order in different parts of the the same
449     * input array.  It is well-suited to merging two or more sorted arrays:
450     * simply concatenate the arrays and sort the resulting array.
451     *
452     * <p>The implementation was adapted from Tim Peters's list sort for Python
453     * (<a href="http://svn.python.org/projects/python/trunk/Objects/listsort.txt">
454     * TimSort</a>).  It uses techiques from Peter McIlroy's "Optimistic
455     * Sorting and Information Theoretic Complexity", in Proceedings of the
456     * Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, pp 467-474,
457     * January 1993.
458     *
459     * @param a the array to be sorted
460     * @throws ClassCastException if the array contains elements that are not
461     *         <i>mutually comparable</i> (for example, strings and integers)
462     * @throws IllegalArgumentException (optional) if the natural
463     *         ordering of the array elements is found to violate the
464     *         {@link Comparable} contract
465     */
466    public static void sort(Object[] a) {
467        if (LegacyMergeSort.userRequested)
468            legacyMergeSort(a);
469        else
470            ComparableTimSort.sort(a);
471    }
472
473    /** To be removed in a future release. */
474    private static void legacyMergeSort(Object[] a) {
475        Object[] aux = a.clone();
476        mergeSort(aux, a, 0, a.length, 0);
477    }
478
479    /**
480     * Sorts the specified range of the specified array of objects into
481     * ascending order, according to the
482     * {@linkplain Comparable natural ordering} of its
483     * elements.  The range to be sorted extends from index
484     * {@code fromIndex}, inclusive, to index {@code toIndex}, exclusive.
485     * (If {@code fromIndex==toIndex}, the range to be sorted is empty.)  All
486     * elements in this range must implement the {@link Comparable}
487     * interface.  Furthermore, all elements in this range must be <i>mutually
488     * comparable</i> (that is, {@code e1.compareTo(e2)} must not throw a
489     * {@code ClassCastException} for any elements {@code e1} and
490     * {@code e2} in the array).
491     *
492     * <p>This sort is guaranteed to be <i>stable</i>:  equal elements will
493     * not be reordered as a result of the sort.
494     *
495     * <p>Implementation note: This implementation is a stable, adaptive,
496     * iterative mergesort that requires far fewer than n lg(n) comparisons
497     * when the input array is partially sorted, while offering the
498     * performance of a traditional mergesort when the input array is
499     * randomly ordered.  If the input array is nearly sorted, the
500     * implementation requires approximately n comparisons.  Temporary
501     * storage requirements vary from a small constant for nearly sorted
502     * input arrays to n/2 object references for randomly ordered input
503     * arrays.
504     *
505     * <p>The implementation takes equal advantage of ascending and
506     * descending order in its input array, and can take advantage of
507     * ascending and descending order in different parts of the the same
508     * input array.  It is well-suited to merging two or more sorted arrays:
509     * simply concatenate the arrays and sort the resulting array.
510     *
511     * <p>The implementation was adapted from Tim Peters's list sort for Python
512     * (<a href="http://svn.python.org/projects/python/trunk/Objects/listsort.txt">
513     * TimSort</a>).  It uses techiques from Peter McIlroy's "Optimistic
514     * Sorting and Information Theoretic Complexity", in Proceedings of the
515     * Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, pp 467-474,
516     * January 1993.
517     *
518     * @param a the array to be sorted
519     * @param fromIndex the index of the first element (inclusive) to be
520     *        sorted
521     * @param toIndex the index of the last element (exclusive) to be sorted
522     * @throws IllegalArgumentException if {@code fromIndex > toIndex} or
523     *         (optional) if the natural ordering of the array elements is
524     *         found to violate the {@link Comparable} contract
525     * @throws ArrayIndexOutOfBoundsException if {@code fromIndex < 0} or
526     *         {@code toIndex > a.length}
527     * @throws ClassCastException if the array contains elements that are
528     *         not <i>mutually comparable</i> (for example, strings and
529     *         integers).
530     */
531    public static void sort(Object[] a, int fromIndex, int toIndex) {
532        if (LegacyMergeSort.userRequested)
533            legacyMergeSort(a, fromIndex, toIndex);
534        else
535            ComparableTimSort.sort(a, fromIndex, toIndex);
536    }
537
538    /** To be removed in a future release. */
539    private static void legacyMergeSort(Object[] a,
540                                        int fromIndex, int toIndex) {
541        rangeCheck(a.length, fromIndex, toIndex);
542        Object[] aux = copyOfRange(a, fromIndex, toIndex);
543        mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
544    }
545
546    /**
547     * Tuning parameter: list size at or below which insertion sort will be
548     * used in preference to mergesort.
549     * To be removed in a future release.
550     */
551    private static final int INSERTIONSORT_THRESHOLD = 7;
552
553    /**
554     * Src is the source array that starts at index 0
555     * Dest is the (possibly larger) array destination with a possible offset
556     * low is the index in dest to start sorting
557     * high is the end index in dest to end sorting
558     * off is the offset to generate corresponding low, high in src
559     * To be removed in a future release.
560     */
561    private static void mergeSort(Object[] src,
562                                  Object[] dest,
563                                  int low,
564                                  int high,
565                                  int off) {
566        int length = high - low;
567
568        // Insertion sort on smallest arrays
569        if (length < INSERTIONSORT_THRESHOLD) {
570            for (int i=low; i<high; i++)
571                for (int j=i; j>low &&
572                         ((Comparable) dest[j-1]).compareTo(dest[j])>0; j--)
573                    swap(dest, j, j-1);
574            return;
575        }
576
577        // Recursively sort halves of dest into src
578        int destLow  = low;
579        int destHigh = high;
580        low  += off;
581        high += off;
582        int mid = (low + high) >>> 1;
583        mergeSort(dest, src, low, mid, -off);
584        mergeSort(dest, src, mid, high, -off);
585
586        // If list is already sorted, just copy from src to dest.  This is an
587        // optimization that results in faster sorts for nearly ordered lists.
588        if (((Comparable)src[mid-1]).compareTo(src[mid]) <= 0) {
589            System.arraycopy(src, low, dest, destLow, length);
590            return;
591        }
592
593        // Merge sorted halves (now in src) into dest
594        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
595            if (q >= high || p < mid && ((Comparable)src[p]).compareTo(src[q])<=0)
596                dest[i] = src[p++];
597            else
598                dest[i] = src[q++];
599        }
600    }
601
602    /**
603     * Swaps x[a] with x[b].
604     */
605    private static void swap(Object[] x, int a, int b) {
606        Object t = x[a];
607        x[a] = x[b];
608        x[b] = t;
609    }
610
611    /**
612     * Sorts the specified array of objects according to the order induced by
613     * the specified comparator.  All elements in the array must be
614     * <i>mutually comparable</i> by the specified comparator (that is,
615     * {@code c.compare(e1, e2)} must not throw a {@code ClassCastException}
616     * for any elements {@code e1} and {@code e2} in the array).
617     *
618     * <p>This sort is guaranteed to be <i>stable</i>:  equal elements will
619     * not be reordered as a result of the sort.
620     *
621     * <p>Implementation note: This implementation is a stable, adaptive,
622     * iterative mergesort that requires far fewer than n lg(n) comparisons
623     * when the input array is partially sorted, while offering the
624     * performance of a traditional mergesort when the input array is
625     * randomly ordered.  If the input array is nearly sorted, the
626     * implementation requires approximately n comparisons.  Temporary
627     * storage requirements vary from a small constant for nearly sorted
628     * input arrays to n/2 object references for randomly ordered input
629     * arrays.
630     *
631     * <p>The implementation takes equal advantage of ascending and
632     * descending order in its input array, and can take advantage of
633     * ascending and descending order in different parts of the the same
634     * input array.  It is well-suited to merging two or more sorted arrays:
635     * simply concatenate the arrays and sort the resulting array.
636     *
637     * <p>The implementation was adapted from Tim Peters's list sort for Python
638     * (<a href="http://svn.python.org/projects/python/trunk/Objects/listsort.txt">
639     * TimSort</a>).  It uses techiques from Peter McIlroy's "Optimistic
640     * Sorting and Information Theoretic Complexity", in Proceedings of the
641     * Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, pp 467-474,
642     * January 1993.
643     *
644     * @param a the array to be sorted
645     * @param c the comparator to determine the order of the array.  A
646     *        {@code null} value indicates that the elements'
647     *        {@linkplain Comparable natural ordering} should be used.
648     * @throws ClassCastException if the array contains elements that are
649     *         not <i>mutually comparable</i> using the specified comparator
650     * @throws IllegalArgumentException (optional) if the comparator is
651     *         found to violate the {@link Comparator} contract
652     */
653    public static <T> void sort(T[] a, Comparator<? super T> c) {
654        if (LegacyMergeSort.userRequested)
655            legacyMergeSort(a, c);
656        else
657            TimSort.sort(a, c);
658    }
659
660    /** To be removed in a future release. */
661    private static <T> void legacyMergeSort(T[] a, Comparator<? super T> c) {
662        T[] aux = a.clone();
663        if (c==null)
664            mergeSort(aux, a, 0, a.length, 0);
665        else
666            mergeSort(aux, a, 0, a.length, 0, c);
667    }
668
669    /**
670     * Sorts the specified range of the specified array of objects according
671     * to the order induced by the specified comparator.  The range to be
672     * sorted extends from index {@code fromIndex}, inclusive, to index
673     * {@code toIndex}, exclusive.  (If {@code fromIndex==toIndex}, the
674     * range to be sorted is empty.)  All elements in the range must be
675     * <i>mutually comparable</i> by the specified comparator (that is,
676     * {@code c.compare(e1, e2)} must not throw a {@code ClassCastException}
677     * for any elements {@code e1} and {@code e2} in the range).
678     *
679     * <p>This sort is guaranteed to be <i>stable</i>:  equal elements will
680     * not be reordered as a result of the sort.
681     *
682     * <p>Implementation note: This implementation is a stable, adaptive,
683     * iterative mergesort that requires far fewer than n lg(n) comparisons
684     * when the input array is partially sorted, while offering the
685     * performance of a traditional mergesort when the input array is
686     * randomly ordered.  If the input array is nearly sorted, the
687     * implementation requires approximately n comparisons.  Temporary
688     * storage requirements vary from a small constant for nearly sorted
689     * input arrays to n/2 object references for randomly ordered input
690     * arrays.
691     *
692     * <p>The implementation takes equal advantage of ascending and
693     * descending order in its input array, and can take advantage of
694     * ascending and descending order in different parts of the the same
695     * input array.  It is well-suited to merging two or more sorted arrays:
696     * simply concatenate the arrays and sort the resulting array.
697     *
698     * <p>The implementation was adapted from Tim Peters's list sort for Python
699     * (<a href="http://svn.python.org/projects/python/trunk/Objects/listsort.txt">
700     * TimSort</a>).  It uses techiques from Peter McIlroy's "Optimistic
701     * Sorting and Information Theoretic Complexity", in Proceedings of the
702     * Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, pp 467-474,
703     * January 1993.
704     *
705     * @param a the array to be sorted
706     * @param fromIndex the index of the first element (inclusive) to be
707     *        sorted
708     * @param toIndex the index of the last element (exclusive) to be sorted
709     * @param c the comparator to determine the order of the array.  A
710     *        {@code null} value indicates that the elements'
711     *        {@linkplain Comparable natural ordering} should be used.
712     * @throws ClassCastException if the array contains elements that are not
713     *         <i>mutually comparable</i> using the specified comparator.
714     * @throws IllegalArgumentException if {@code fromIndex > toIndex} or
715     *         (optional) if the comparator is found to violate the
716     *         {@link Comparator} contract
717     * @throws ArrayIndexOutOfBoundsException if {@code fromIndex < 0} or
718     *         {@code toIndex > a.length}
719     */
720    public static <T> void sort(T[] a, int fromIndex, int toIndex,
721                                Comparator<? super T> c) {
722        if (LegacyMergeSort.userRequested)
723            legacyMergeSort(a, fromIndex, toIndex, c);
724        else
725            TimSort.sort(a, fromIndex, toIndex, c);
726    }
727
728    /** To be removed in a future release. */
729    private static <T> void legacyMergeSort(T[] a, int fromIndex, int toIndex,
730                                            Comparator<? super T> c) {
731        rangeCheck(a.length, fromIndex, toIndex);
732        T[] aux = copyOfRange(a, fromIndex, toIndex);
733        if (c==null)
734            mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
735        else
736            mergeSort(aux, a, fromIndex, toIndex, -fromIndex, c);
737    }
738
739    /**
740     * Src is the source array that starts at index 0
741     * Dest is the (possibly larger) array destination with a possible offset
742     * low is the index in dest to start sorting
743     * high is the end index in dest to end sorting
744     * off is the offset into src corresponding to low in dest
745     * To be removed in a future release.
746     */
747    private static void mergeSort(Object[] src,
748                                  Object[] dest,
749                                  int low, int high, int off,
750                                  Comparator c) {
751        int length = high - low;
752
753        // Insertion sort on smallest arrays
754        if (length < INSERTIONSORT_THRESHOLD) {
755            for (int i=low; i<high; i++)
756                for (int j=i; j>low && c.compare(dest[j-1], dest[j])>0; j--)
757                    swap(dest, j, j-1);
758            return;
759        }
760
761        // Recursively sort halves of dest into src
762        int destLow  = low;
763        int destHigh = high;
764        low  += off;
765        high += off;
766        int mid = (low + high) >>> 1;
767        mergeSort(dest, src, low, mid, -off, c);
768        mergeSort(dest, src, mid, high, -off, c);
769
770        // If list is already sorted, just copy from src to dest.  This is an
771        // optimization that results in faster sorts for nearly ordered lists.
772        if (c.compare(src[mid-1], src[mid]) <= 0) {
773           System.arraycopy(src, low, dest, destLow, length);
774           return;
775        }
776
777        // Merge sorted halves (now in src) into dest
778        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
779            if (q >= high || p < mid && c.compare(src[p], src[q]) <= 0)
780                dest[i] = src[p++];
781            else
782                dest[i] = src[q++];
783        }
784    }
785
786    /**
787     * Checks that {@code fromIndex} and {@code toIndex} are in
788     * the range and throws an appropriate exception, if they aren't.
789     */
790    private static void rangeCheck(int length, int fromIndex, int toIndex) {
791        if (fromIndex > toIndex) {
792            throw new IllegalArgumentException(
793                "fromIndex(" + fromIndex + ") > toIndex(" + toIndex + ")");
794        }
795        if (fromIndex < 0) {
796            throw new ArrayIndexOutOfBoundsException(fromIndex);
797        }
798        if (toIndex > length) {
799            throw new ArrayIndexOutOfBoundsException(toIndex);
800        }
801    }
802
803    // Searching
804
805    /**
806     * Searches the specified array of longs for the specified value using the
807     * binary search algorithm.  The array must be sorted (as
808     * by the {@link #sort(long[])} method) prior to making this call.  If it
809     * is not sorted, the results are undefined.  If the array contains
810     * multiple elements with the specified value, there is no guarantee which
811     * one will be found.
812     *
813     * @param a the array to be searched
814     * @param key the value to be searched for
815     * @return index of the search key, if it is contained in the array;
816     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
817     *         <i>insertion point</i> is defined as the point at which the
818     *         key would be inserted into the array: the index of the first
819     *         element greater than the key, or <tt>a.length</tt> if all
820     *         elements in the array are less than the specified key.  Note
821     *         that this guarantees that the return value will be &gt;= 0 if
822     *         and only if the key is found.
823     */
824    public static int binarySearch(long[] a, long key) {
825        return binarySearch0(a, 0, a.length, key);
826    }
827
828    /**
829     * Searches a range of
830     * the specified array of longs for the specified value using the
831     * binary search algorithm.
832     * The range must be sorted (as
833     * by the {@link #sort(long[], int, int)} method)
834     * prior to making this call.  If it
835     * is not sorted, the results are undefined.  If the range contains
836     * multiple elements with the specified value, there is no guarantee which
837     * one will be found.
838     *
839     * @param a the array to be searched
840     * @param fromIndex the index of the first element (inclusive) to be
841     *          searched
842     * @param toIndex the index of the last element (exclusive) to be searched
843     * @param key the value to be searched for
844     * @return index of the search key, if it is contained in the array
845     *         within the specified range;
846     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
847     *         <i>insertion point</i> is defined as the point at which the
848     *         key would be inserted into the array: the index of the first
849     *         element in the range greater than the key,
850     *         or <tt>toIndex</tt> if all
851     *         elements in the range are less than the specified key.  Note
852     *         that this guarantees that the return value will be &gt;= 0 if
853     *         and only if the key is found.
854     * @throws IllegalArgumentException
855     *         if {@code fromIndex > toIndex}
856     * @throws ArrayIndexOutOfBoundsException
857     *         if {@code fromIndex < 0 or toIndex > a.length}
858     * @since 1.6
859     */
860    public static int binarySearch(long[] a, int fromIndex, int toIndex,
861                                   long key) {
862        rangeCheck(a.length, fromIndex, toIndex);
863        return binarySearch0(a, fromIndex, toIndex, key);
864    }
865
866    // Like public version, but without range checks.
867    private static int binarySearch0(long[] a, int fromIndex, int toIndex,
868                                     long key) {
869        int low = fromIndex;
870        int high = toIndex - 1;
871
872        while (low <= high) {
873            int mid = (low + high) >>> 1;
874            long midVal = a[mid];
875
876            if (midVal < key)
877                low = mid + 1;
878            else if (midVal > key)
879                high = mid - 1;
880            else
881                return mid; // key found
882        }
883        return -(low + 1);  // key not found.
884    }
885
886    /**
887     * Searches the specified array of ints for the specified value using the
888     * binary search algorithm.  The array must be sorted (as
889     * by the {@link #sort(int[])} method) prior to making this call.  If it
890     * is not sorted, the results are undefined.  If the array contains
891     * multiple elements with the specified value, there is no guarantee which
892     * one will be found.
893     *
894     * @param a the array to be searched
895     * @param key the value to be searched for
896     * @return index of the search key, if it is contained in the array;
897     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
898     *         <i>insertion point</i> is defined as the point at which the
899     *         key would be inserted into the array: the index of the first
900     *         element greater than the key, or <tt>a.length</tt> if all
901     *         elements in the array are less than the specified key.  Note
902     *         that this guarantees that the return value will be &gt;= 0 if
903     *         and only if the key is found.
904     */
905    public static int binarySearch(int[] a, int key) {
906        return binarySearch0(a, 0, a.length, key);
907    }
908
909    /**
910     * Searches a range of
911     * the specified array of ints for the specified value using the
912     * binary search algorithm.
913     * The range must be sorted (as
914     * by the {@link #sort(int[], int, int)} method)
915     * prior to making this call.  If it
916     * is not sorted, the results are undefined.  If the range contains
917     * multiple elements with the specified value, there is no guarantee which
918     * one will be found.
919     *
920     * @param a the array to be searched
921     * @param fromIndex the index of the first element (inclusive) to be
922     *          searched
923     * @param toIndex the index of the last element (exclusive) to be searched
924     * @param key the value to be searched for
925     * @return index of the search key, if it is contained in the array
926     *         within the specified range;
927     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
928     *         <i>insertion point</i> is defined as the point at which the
929     *         key would be inserted into the array: the index of the first
930     *         element in the range greater than the key,
931     *         or <tt>toIndex</tt> if all
932     *         elements in the range are less than the specified key.  Note
933     *         that this guarantees that the return value will be &gt;= 0 if
934     *         and only if the key is found.
935     * @throws IllegalArgumentException
936     *         if {@code fromIndex > toIndex}
937     * @throws ArrayIndexOutOfBoundsException
938     *         if {@code fromIndex < 0 or toIndex > a.length}
939     * @since 1.6
940     */
941    public static int binarySearch(int[] a, int fromIndex, int toIndex,
942                                   int key) {
943        rangeCheck(a.length, fromIndex, toIndex);
944        return binarySearch0(a, fromIndex, toIndex, key);
945    }
946
947    // Like public version, but without range checks.
948    private static int binarySearch0(int[] a, int fromIndex, int toIndex,
949                                     int key) {
950        int low = fromIndex;
951        int high = toIndex - 1;
952
953        while (low <= high) {
954            int mid = (low + high) >>> 1;
955            int midVal = a[mid];
956
957            if (midVal < key)
958                low = mid + 1;
959            else if (midVal > key)
960                high = mid - 1;
961            else
962                return mid; // key found
963        }
964        return -(low + 1);  // key not found.
965    }
966
967    /**
968     * Searches the specified array of shorts for the specified value using
969     * the binary search algorithm.  The array must be sorted
970     * (as by the {@link #sort(short[])} method) prior to making this call.  If
971     * it is not sorted, the results are undefined.  If the array contains
972     * multiple elements with the specified value, there is no guarantee which
973     * one will be found.
974     *
975     * @param a the array to be searched
976     * @param key the value to be searched for
977     * @return index of the search key, if it is contained in the array;
978     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
979     *         <i>insertion point</i> is defined as the point at which the
980     *         key would be inserted into the array: the index of the first
981     *         element greater than the key, or <tt>a.length</tt> if all
982     *         elements in the array are less than the specified key.  Note
983     *         that this guarantees that the return value will be &gt;= 0 if
984     *         and only if the key is found.
985     */
986    public static int binarySearch(short[] a, short key) {
987        return binarySearch0(a, 0, a.length, key);
988    }
989
990    /**
991     * Searches a range of
992     * the specified array of shorts for the specified value using
993     * the binary search algorithm.
994     * The range must be sorted
995     * (as by the {@link #sort(short[], int, int)} method)
996     * prior to making this call.  If
997     * it is not sorted, the results are undefined.  If the range contains
998     * multiple elements with the specified value, there is no guarantee which
999     * one will be found.
1000     *
1001     * @param a the array to be searched
1002     * @param fromIndex the index of the first element (inclusive) to be
1003     *          searched
1004     * @param toIndex the index of the last element (exclusive) to be searched
1005     * @param key the value to be searched for
1006     * @return index of the search key, if it is contained in the array
1007     *         within the specified range;
1008     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1009     *         <i>insertion point</i> is defined as the point at which the
1010     *         key would be inserted into the array: the index of the first
1011     *         element in the range greater than the key,
1012     *         or <tt>toIndex</tt> if all
1013     *         elements in the range are less than the specified key.  Note
1014     *         that this guarantees that the return value will be &gt;= 0 if
1015     *         and only if the key is found.
1016     * @throws IllegalArgumentException
1017     *         if {@code fromIndex > toIndex}
1018     * @throws ArrayIndexOutOfBoundsException
1019     *         if {@code fromIndex < 0 or toIndex > a.length}
1020     * @since 1.6
1021     */
1022    public static int binarySearch(short[] a, int fromIndex, int toIndex,
1023                                   short key) {
1024        rangeCheck(a.length, fromIndex, toIndex);
1025        return binarySearch0(a, fromIndex, toIndex, key);
1026    }
1027
1028    // Like public version, but without range checks.
1029    private static int binarySearch0(short[] a, int fromIndex, int toIndex,
1030                                     short key) {
1031        int low = fromIndex;
1032        int high = toIndex - 1;
1033
1034        while (low <= high) {
1035            int mid = (low + high) >>> 1;
1036            short midVal = a[mid];
1037
1038            if (midVal < key)
1039                low = mid + 1;
1040            else if (midVal > key)
1041                high = mid - 1;
1042            else
1043                return mid; // key found
1044        }
1045        return -(low + 1);  // key not found.
1046    }
1047
1048    /**
1049     * Searches the specified array of chars for the specified value using the
1050     * binary search algorithm.  The array must be sorted (as
1051     * by the {@link #sort(char[])} method) prior to making this call.  If it
1052     * is not sorted, the results are undefined.  If the array contains
1053     * multiple elements with the specified value, there is no guarantee which
1054     * one will be found.
1055     *
1056     * @param a the array to be searched
1057     * @param key the value to be searched for
1058     * @return index of the search key, if it is contained in the array;
1059     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1060     *         <i>insertion point</i> is defined as the point at which the
1061     *         key would be inserted into the array: the index of the first
1062     *         element greater than the key, or <tt>a.length</tt> if all
1063     *         elements in the array are less than the specified key.  Note
1064     *         that this guarantees that the return value will be &gt;= 0 if
1065     *         and only if the key is found.
1066     */
1067    public static int binarySearch(char[] a, char key) {
1068        return binarySearch0(a, 0, a.length, key);
1069    }
1070
1071    /**
1072     * Searches a range of
1073     * the specified array of chars for the specified value using the
1074     * binary search algorithm.
1075     * The range must be sorted (as
1076     * by the {@link #sort(char[], int, int)} method)
1077     * prior to making this call.  If it
1078     * is not sorted, the results are undefined.  If the range contains
1079     * multiple elements with the specified value, there is no guarantee which
1080     * one will be found.
1081     *
1082     * @param a the array to be searched
1083     * @param fromIndex the index of the first element (inclusive) to be
1084     *          searched
1085     * @param toIndex the index of the last element (exclusive) to be searched
1086     * @param key the value to be searched for
1087     * @return index of the search key, if it is contained in the array
1088     *         within the specified range;
1089     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1090     *         <i>insertion point</i> is defined as the point at which the
1091     *         key would be inserted into the array: the index of the first
1092     *         element in the range greater than the key,
1093     *         or <tt>toIndex</tt> if all
1094     *         elements in the range are less than the specified key.  Note
1095     *         that this guarantees that the return value will be &gt;= 0 if
1096     *         and only if the key is found.
1097     * @throws IllegalArgumentException
1098     *         if {@code fromIndex > toIndex}
1099     * @throws ArrayIndexOutOfBoundsException
1100     *         if {@code fromIndex < 0 or toIndex > a.length}
1101     * @since 1.6
1102     */
1103    public static int binarySearch(char[] a, int fromIndex, int toIndex,
1104                                   char key) {
1105        rangeCheck(a.length, fromIndex, toIndex);
1106        return binarySearch0(a, fromIndex, toIndex, key);
1107    }
1108
1109    // Like public version, but without range checks.
1110    private static int binarySearch0(char[] a, int fromIndex, int toIndex,
1111                                     char key) {
1112        int low = fromIndex;
1113        int high = toIndex - 1;
1114
1115        while (low <= high) {
1116            int mid = (low + high) >>> 1;
1117            char midVal = a[mid];
1118
1119            if (midVal < key)
1120                low = mid + 1;
1121            else if (midVal > key)
1122                high = mid - 1;
1123            else
1124                return mid; // key found
1125        }
1126        return -(low + 1);  // key not found.
1127    }
1128
1129    /**
1130     * Searches the specified array of bytes for the specified value using the
1131     * binary search algorithm.  The array must be sorted (as
1132     * by the {@link #sort(byte[])} method) prior to making this call.  If it
1133     * is not sorted, the results are undefined.  If the array contains
1134     * multiple elements with the specified value, there is no guarantee which
1135     * one will be found.
1136     *
1137     * @param a the array to be searched
1138     * @param key the value to be searched for
1139     * @return index of the search key, if it is contained in the array;
1140     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1141     *         <i>insertion point</i> is defined as the point at which the
1142     *         key would be inserted into the array: the index of the first
1143     *         element greater than the key, or <tt>a.length</tt> if all
1144     *         elements in the array are less than the specified key.  Note
1145     *         that this guarantees that the return value will be &gt;= 0 if
1146     *         and only if the key is found.
1147     */
1148    public static int binarySearch(byte[] a, byte key) {
1149        return binarySearch0(a, 0, a.length, key);
1150    }
1151
1152    /**
1153     * Searches a range of
1154     * the specified array of bytes for the specified value using the
1155     * binary search algorithm.
1156     * The range must be sorted (as
1157     * by the {@link #sort(byte[], int, int)} method)
1158     * prior to making this call.  If it
1159     * is not sorted, the results are undefined.  If the range contains
1160     * multiple elements with the specified value, there is no guarantee which
1161     * one will be found.
1162     *
1163     * @param a the array to be searched
1164     * @param fromIndex the index of the first element (inclusive) to be
1165     *          searched
1166     * @param toIndex the index of the last element (exclusive) to be searched
1167     * @param key the value to be searched for
1168     * @return index of the search key, if it is contained in the array
1169     *         within the specified range;
1170     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1171     *         <i>insertion point</i> is defined as the point at which the
1172     *         key would be inserted into the array: the index of the first
1173     *         element in the range greater than the key,
1174     *         or <tt>toIndex</tt> if all
1175     *         elements in the range are less than the specified key.  Note
1176     *         that this guarantees that the return value will be &gt;= 0 if
1177     *         and only if the key is found.
1178     * @throws IllegalArgumentException
1179     *         if {@code fromIndex > toIndex}
1180     * @throws ArrayIndexOutOfBoundsException
1181     *         if {@code fromIndex < 0 or toIndex > a.length}
1182     * @since 1.6
1183     */
1184    public static int binarySearch(byte[] a, int fromIndex, int toIndex,
1185                                   byte key) {
1186        rangeCheck(a.length, fromIndex, toIndex);
1187        return binarySearch0(a, fromIndex, toIndex, key);
1188    }
1189
1190    // Like public version, but without range checks.
1191    private static int binarySearch0(byte[] a, int fromIndex, int toIndex,
1192                                     byte key) {
1193        int low = fromIndex;
1194        int high = toIndex - 1;
1195
1196        while (low <= high) {
1197            int mid = (low + high) >>> 1;
1198            byte midVal = a[mid];
1199
1200            if (midVal < key)
1201                low = mid + 1;
1202            else if (midVal > key)
1203                high = mid - 1;
1204            else
1205                return mid; // key found
1206        }
1207        return -(low + 1);  // key not found.
1208    }
1209
1210    /**
1211     * Searches the specified array of doubles for the specified value using
1212     * the binary search algorithm.  The array must be sorted
1213     * (as by the {@link #sort(double[])} method) prior to making this call.
1214     * If it is not sorted, the results are undefined.  If the array contains
1215     * multiple elements with the specified value, there is no guarantee which
1216     * one will be found.  This method considers all NaN values to be
1217     * equivalent and equal.
1218     *
1219     * @param a the array to be searched
1220     * @param key the value to be searched for
1221     * @return index of the search key, if it is contained in the array;
1222     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1223     *         <i>insertion point</i> is defined as the point at which the
1224     *         key would be inserted into the array: the index of the first
1225     *         element greater than the key, or <tt>a.length</tt> if all
1226     *         elements in the array are less than the specified key.  Note
1227     *         that this guarantees that the return value will be &gt;= 0 if
1228     *         and only if the key is found.
1229     */
1230    public static int binarySearch(double[] a, double key) {
1231        return binarySearch0(a, 0, a.length, key);
1232    }
1233
1234    /**
1235     * Searches a range of
1236     * the specified array of doubles for the specified value using
1237     * the binary search algorithm.
1238     * The range must be sorted
1239     * (as by the {@link #sort(double[], int, int)} method)
1240     * prior to making this call.
1241     * If it is not sorted, the results are undefined.  If the range contains
1242     * multiple elements with the specified value, there is no guarantee which
1243     * one will be found.  This method considers all NaN values to be
1244     * equivalent and equal.
1245     *
1246     * @param a the array to be searched
1247     * @param fromIndex the index of the first element (inclusive) to be
1248     *          searched
1249     * @param toIndex the index of the last element (exclusive) to be searched
1250     * @param key the value to be searched for
1251     * @return index of the search key, if it is contained in the array
1252     *         within the specified range;
1253     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1254     *         <i>insertion point</i> is defined as the point at which the
1255     *         key would be inserted into the array: the index of the first
1256     *         element in the range greater than the key,
1257     *         or <tt>toIndex</tt> if all
1258     *         elements in the range are less than the specified key.  Note
1259     *         that this guarantees that the return value will be &gt;= 0 if
1260     *         and only if the key is found.
1261     * @throws IllegalArgumentException
1262     *         if {@code fromIndex > toIndex}
1263     * @throws ArrayIndexOutOfBoundsException
1264     *         if {@code fromIndex < 0 or toIndex > a.length}
1265     * @since 1.6
1266     */
1267    public static int binarySearch(double[] a, int fromIndex, int toIndex,
1268                                   double key) {
1269        rangeCheck(a.length, fromIndex, toIndex);
1270        return binarySearch0(a, fromIndex, toIndex, key);
1271    }
1272
1273    // Like public version, but without range checks.
1274    private static int binarySearch0(double[] a, int fromIndex, int toIndex,
1275                                     double key) {
1276        int low = fromIndex;
1277        int high = toIndex - 1;
1278
1279        while (low <= high) {
1280            int mid = (low + high) >>> 1;
1281            double midVal = a[mid];
1282
1283            if (midVal < key)
1284                low = mid + 1;  // Neither val is NaN, thisVal is smaller
1285            else if (midVal > key)
1286                high = mid - 1; // Neither val is NaN, thisVal is larger
1287            else {
1288                long midBits = Double.doubleToLongBits(midVal);
1289                long keyBits = Double.doubleToLongBits(key);
1290                if (midBits == keyBits)     // Values are equal
1291                    return mid;             // Key found
1292                else if (midBits < keyBits) // (-0.0, 0.0) or (!NaN, NaN)
1293                    low = mid + 1;
1294                else                        // (0.0, -0.0) or (NaN, !NaN)
1295                    high = mid - 1;
1296            }
1297        }
1298        return -(low + 1);  // key not found.
1299    }
1300
1301    /**
1302     * Searches the specified array of floats for the specified value using
1303     * the binary search algorithm. The array must be sorted
1304     * (as by the {@link #sort(float[])} method) prior to making this call. If
1305     * it is not sorted, the results are undefined. If the array contains
1306     * multiple elements with the specified value, there is no guarantee which
1307     * one will be found. This method considers all NaN values to be
1308     * equivalent and equal.
1309     *
1310     * @param a the array to be searched
1311     * @param key the value to be searched for
1312     * @return index of the search key, if it is contained in the array;
1313     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>. The
1314     *         <i>insertion point</i> is defined as the point at which the
1315     *         key would be inserted into the array: the index of the first
1316     *         element greater than the key, or <tt>a.length</tt> if all
1317     *         elements in the array are less than the specified key. Note
1318     *         that this guarantees that the return value will be &gt;= 0 if
1319     *         and only if the key is found.
1320     */
1321    public static int binarySearch(float[] a, float key) {
1322        return binarySearch0(a, 0, a.length, key);
1323    }
1324
1325    /**
1326     * Searches a range of
1327     * the specified array of floats for the specified value using
1328     * the binary search algorithm.
1329     * The range must be sorted
1330     * (as by the {@link #sort(float[], int, int)} method)
1331     * prior to making this call. If
1332     * it is not sorted, the results are undefined. If the range contains
1333     * multiple elements with the specified value, there is no guarantee which
1334     * one will be found. This method considers all NaN values to be
1335     * equivalent and equal.
1336     *
1337     * @param a the array to be searched
1338     * @param fromIndex the index of the first element (inclusive) to be
1339     *          searched
1340     * @param toIndex the index of the last element (exclusive) to be searched
1341     * @param key the value to be searched for
1342     * @return index of the search key, if it is contained in the array
1343     *         within the specified range;
1344     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>. The
1345     *         <i>insertion point</i> is defined as the point at which the
1346     *         key would be inserted into the array: the index of the first
1347     *         element in the range greater than the key,
1348     *         or <tt>toIndex</tt> if all
1349     *         elements in the range are less than the specified key. Note
1350     *         that this guarantees that the return value will be &gt;= 0 if
1351     *         and only if the key is found.
1352     * @throws IllegalArgumentException
1353     *         if {@code fromIndex > toIndex}
1354     * @throws ArrayIndexOutOfBoundsException
1355     *         if {@code fromIndex < 0 or toIndex > a.length}
1356     * @since 1.6
1357     */
1358    public static int binarySearch(float[] a, int fromIndex, int toIndex,
1359                                   float key) {
1360        rangeCheck(a.length, fromIndex, toIndex);
1361        return binarySearch0(a, fromIndex, toIndex, key);
1362    }
1363
1364    // Like public version, but without range checks.
1365    private static int binarySearch0(float[] a, int fromIndex, int toIndex,
1366                                     float key) {
1367        int low = fromIndex;
1368        int high = toIndex - 1;
1369
1370        while (low <= high) {
1371            int mid = (low + high) >>> 1;
1372            float midVal = a[mid];
1373
1374            if (midVal < key)
1375                low = mid + 1;  // Neither val is NaN, thisVal is smaller
1376            else if (midVal > key)
1377                high = mid - 1; // Neither val is NaN, thisVal is larger
1378            else {
1379                int midBits = Float.floatToIntBits(midVal);
1380                int keyBits = Float.floatToIntBits(key);
1381                if (midBits == keyBits)     // Values are equal
1382                    return mid;             // Key found
1383                else if (midBits < keyBits) // (-0.0, 0.0) or (!NaN, NaN)
1384                    low = mid + 1;
1385                else                        // (0.0, -0.0) or (NaN, !NaN)
1386                    high = mid - 1;
1387            }
1388        }
1389        return -(low + 1);  // key not found.
1390    }
1391
1392    /**
1393     * Searches the specified array for the specified object using the binary
1394     * search algorithm. The array must be sorted into ascending order
1395     * according to the
1396     * {@linkplain Comparable natural ordering}
1397     * of its elements (as by the
1398     * {@link #sort(Object[])} method) prior to making this call.
1399     * If it is not sorted, the results are undefined.
1400     * (If the array contains elements that are not mutually comparable (for
1401     * example, strings and integers), it <i>cannot</i> be sorted according
1402     * to the natural ordering of its elements, hence results are undefined.)
1403     * If the array contains multiple
1404     * elements equal to the specified object, there is no guarantee which
1405     * one will be found.
1406     *
1407     * @param a the array to be searched
1408     * @param key the value to be searched for
1409     * @return index of the search key, if it is contained in the array;
1410     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1411     *         <i>insertion point</i> is defined as the point at which the
1412     *         key would be inserted into the array: the index of the first
1413     *         element greater than the key, or <tt>a.length</tt> if all
1414     *         elements in the array are less than the specified key.  Note
1415     *         that this guarantees that the return value will be &gt;= 0 if
1416     *         and only if the key is found.
1417     * @throws ClassCastException if the search key is not comparable to the
1418     *         elements of the array.
1419     */
1420    public static int binarySearch(Object[] a, Object key) {
1421        return binarySearch0(a, 0, a.length, key);
1422    }
1423
1424    /**
1425     * Searches a range of
1426     * the specified array for the specified object using the binary
1427     * search algorithm.
1428     * The range must be sorted into ascending order
1429     * according to the
1430     * {@linkplain Comparable natural ordering}
1431     * of its elements (as by the
1432     * {@link #sort(Object[], int, int)} method) prior to making this
1433     * call.  If it is not sorted, the results are undefined.
1434     * (If the range contains elements that are not mutually comparable (for
1435     * example, strings and integers), it <i>cannot</i> be sorted according
1436     * to the natural ordering of its elements, hence results are undefined.)
1437     * If the range contains multiple
1438     * elements equal to the specified object, there is no guarantee which
1439     * one will be found.
1440     *
1441     * @param a the array to be searched
1442     * @param fromIndex the index of the first element (inclusive) to be
1443     *          searched
1444     * @param toIndex the index of the last element (exclusive) to be searched
1445     * @param key the value to be searched for
1446     * @return index of the search key, if it is contained in the array
1447     *         within the specified range;
1448     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1449     *         <i>insertion point</i> is defined as the point at which the
1450     *         key would be inserted into the array: the index of the first
1451     *         element in the range greater than the key,
1452     *         or <tt>toIndex</tt> if all
1453     *         elements in the range are less than the specified key.  Note
1454     *         that this guarantees that the return value will be &gt;= 0 if
1455     *         and only if the key is found.
1456     * @throws ClassCastException if the search key is not comparable to the
1457     *         elements of the array within the specified range.
1458     * @throws IllegalArgumentException
1459     *         if {@code fromIndex > toIndex}
1460     * @throws ArrayIndexOutOfBoundsException
1461     *         if {@code fromIndex < 0 or toIndex > a.length}
1462     * @since 1.6
1463     */
1464    public static int binarySearch(Object[] a, int fromIndex, int toIndex,
1465                                   Object key) {
1466        rangeCheck(a.length, fromIndex, toIndex);
1467        return binarySearch0(a, fromIndex, toIndex, key);
1468    }
1469
1470    // Like public version, but without range checks.
1471    private static int binarySearch0(Object[] a, int fromIndex, int toIndex,
1472                                     Object key) {
1473        int low = fromIndex;
1474        int high = toIndex - 1;
1475
1476        while (low <= high) {
1477            int mid = (low + high) >>> 1;
1478            Comparable midVal = (Comparable)a[mid];
1479            int cmp = midVal.compareTo(key);
1480
1481            if (cmp < 0)
1482                low = mid + 1;
1483            else if (cmp > 0)
1484                high = mid - 1;
1485            else
1486                return mid; // key found
1487        }
1488        return -(low + 1);  // key not found.
1489    }
1490
1491    /**
1492     * Searches the specified array for the specified object using the binary
1493     * search algorithm.  The array must be sorted into ascending order
1494     * according to the specified comparator (as by the
1495     * {@link #sort(Object[], Comparator) sort(T[], Comparator)}
1496     * method) prior to making this call.  If it is
1497     * not sorted, the results are undefined.
1498     * If the array contains multiple
1499     * elements equal to the specified object, there is no guarantee which one
1500     * will be found.
1501     *
1502     * @param a the array to be searched
1503     * @param key the value to be searched for
1504     * @param c the comparator by which the array is ordered.  A
1505     *        <tt>null</tt> value indicates that the elements'
1506     *        {@linkplain Comparable natural ordering} should be used.
1507     * @return index of the search key, if it is contained in the array;
1508     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1509     *         <i>insertion point</i> is defined as the point at which the
1510     *         key would be inserted into the array: the index of the first
1511     *         element greater than the key, or <tt>a.length</tt> if all
1512     *         elements in the array are less than the specified key.  Note
1513     *         that this guarantees that the return value will be &gt;= 0 if
1514     *         and only if the key is found.
1515     * @throws ClassCastException if the array contains elements that are not
1516     *         <i>mutually comparable</i> using the specified comparator,
1517     *         or the search key is not comparable to the
1518     *         elements of the array using this comparator.
1519     */
1520    public static <T> int binarySearch(T[] a, T key, Comparator<? super T> c) {
1521        return binarySearch0(a, 0, a.length, key, c);
1522    }
1523
1524    /**
1525     * Searches a range of
1526     * the specified array for the specified object using the binary
1527     * search algorithm.
1528     * The range must be sorted into ascending order
1529     * according to the specified comparator (as by the
1530     * {@link #sort(Object[], int, int, Comparator)
1531     * sort(T[], int, int, Comparator)}
1532     * method) prior to making this call.
1533     * If it is not sorted, the results are undefined.
1534     * If the range contains multiple elements equal to the specified object,
1535     * there is no guarantee which one will be found.
1536     *
1537     * @param a the array to be searched
1538     * @param fromIndex the index of the first element (inclusive) to be
1539     *          searched
1540     * @param toIndex the index of the last element (exclusive) to be searched
1541     * @param key the value to be searched for
1542     * @param c the comparator by which the array is ordered.  A
1543     *        <tt>null</tt> value indicates that the elements'
1544     *        {@linkplain Comparable natural ordering} should be used.
1545     * @return index of the search key, if it is contained in the array
1546     *         within the specified range;
1547     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
1548     *         <i>insertion point</i> is defined as the point at which the
1549     *         key would be inserted into the array: the index of the first
1550     *         element in the range greater than the key,
1551     *         or <tt>toIndex</tt> if all
1552     *         elements in the range are less than the specified key.  Note
1553     *         that this guarantees that the return value will be &gt;= 0 if
1554     *         and only if the key is found.
1555     * @throws ClassCastException if the range contains elements that are not
1556     *         <i>mutually comparable</i> using the specified comparator,
1557     *         or the search key is not comparable to the
1558     *         elements in the range using this comparator.
1559     * @throws IllegalArgumentException
1560     *         if {@code fromIndex > toIndex}
1561     * @throws ArrayIndexOutOfBoundsException
1562     *         if {@code fromIndex < 0 or toIndex > a.length}
1563     * @since 1.6
1564     */
1565    public static <T> int binarySearch(T[] a, int fromIndex, int toIndex,
1566                                       T key, Comparator<? super T> c) {
1567        rangeCheck(a.length, fromIndex, toIndex);
1568        return binarySearch0(a, fromIndex, toIndex, key, c);
1569    }
1570
1571    // Like public version, but without range checks.
1572    private static <T> int binarySearch0(T[] a, int fromIndex, int toIndex,
1573                                         T key, Comparator<? super T> c) {
1574        if (c == null) {
1575            return binarySearch0(a, fromIndex, toIndex, key);
1576        }
1577        int low = fromIndex;
1578        int high = toIndex - 1;
1579
1580        while (low <= high) {
1581            int mid = (low + high) >>> 1;
1582            T midVal = a[mid];
1583            int cmp = c.compare(midVal, key);
1584            if (cmp < 0)
1585                low = mid + 1;
1586            else if (cmp > 0)
1587                high = mid - 1;
1588            else
1589                return mid; // key found
1590        }
1591        return -(low + 1);  // key not found.
1592    }
1593
1594    // Equality Testing
1595
1596    /**
1597     * Returns <tt>true</tt> if the two specified arrays of longs are
1598     * <i>equal</i> to one another.  Two arrays are considered equal if both
1599     * arrays contain the same number of elements, and all corresponding pairs
1600     * of elements in the two arrays are equal.  In other words, two arrays
1601     * are equal if they contain the same elements in the same order.  Also,
1602     * two array references are considered equal if both are <tt>null</tt>.<p>
1603     *
1604     * @param a one array to be tested for equality
1605     * @param a2 the other array to be tested for equality
1606     * @return <tt>true</tt> if the two arrays are equal
1607     */
1608    public static boolean equals(long[] a, long[] a2) {
1609        if (a==a2)
1610            return true;
1611        if (a==null || a2==null)
1612            return false;
1613
1614        int length = a.length;
1615        if (a2.length != length)
1616            return false;
1617
1618        for (int i=0; i<length; i++)
1619            if (a[i] != a2[i])
1620                return false;
1621
1622        return true;
1623    }
1624
1625    /**
1626     * Returns <tt>true</tt> if the two specified arrays of ints are
1627     * <i>equal</i> to one another.  Two arrays are considered equal if both
1628     * arrays contain the same number of elements, and all corresponding pairs
1629     * of elements in the two arrays are equal.  In other words, two arrays
1630     * are equal if they contain the same elements in the same order.  Also,
1631     * two array references are considered equal if both are <tt>null</tt>.<p>
1632     *
1633     * @param a one array to be tested for equality
1634     * @param a2 the other array to be tested for equality
1635     * @return <tt>true</tt> if the two arrays are equal
1636     */
1637    public static boolean equals(int[] a, int[] a2) {
1638        if (a==a2)
1639            return true;
1640        if (a==null || a2==null)
1641            return false;
1642
1643        int length = a.length;
1644        if (a2.length != length)
1645            return false;
1646
1647        for (int i=0; i<length; i++)
1648            if (a[i] != a2[i])
1649                return false;
1650
1651        return true;
1652    }
1653
1654    /**
1655     * Returns <tt>true</tt> if the two specified arrays of shorts are
1656     * <i>equal</i> to one another.  Two arrays are considered equal if both
1657     * arrays contain the same number of elements, and all corresponding pairs
1658     * of elements in the two arrays are equal.  In other words, two arrays
1659     * are equal if they contain the same elements in the same order.  Also,
1660     * two array references are considered equal if both are <tt>null</tt>.<p>
1661     *
1662     * @param a one array to be tested for equality
1663     * @param a2 the other array to be tested for equality
1664     * @return <tt>true</tt> if the two arrays are equal
1665     */
1666    public static boolean equals(short[] a, short a2[]) {
1667        if (a==a2)
1668            return true;
1669        if (a==null || a2==null)
1670            return false;
1671
1672        int length = a.length;
1673        if (a2.length != length)
1674            return false;
1675
1676        for (int i=0; i<length; i++)
1677            if (a[i] != a2[i])
1678                return false;
1679
1680        return true;
1681    }
1682
1683    /**
1684     * Returns <tt>true</tt> if the two specified arrays of chars are
1685     * <i>equal</i> to one another.  Two arrays are considered equal if both
1686     * arrays contain the same number of elements, and all corresponding pairs
1687     * of elements in the two arrays are equal.  In other words, two arrays
1688     * are equal if they contain the same elements in the same order.  Also,
1689     * two array references are considered equal if both are <tt>null</tt>.<p>
1690     *
1691     * @param a one array to be tested for equality
1692     * @param a2 the other array to be tested for equality
1693     * @return <tt>true</tt> if the two arrays are equal
1694     */
1695    public static boolean equals(char[] a, char[] a2) {
1696        if (a==a2)
1697            return true;
1698        if (a==null || a2==null)
1699            return false;
1700
1701        int length = a.length;
1702        if (a2.length != length)
1703            return false;
1704
1705        for (int i=0; i<length; i++)
1706            if (a[i] != a2[i])
1707                return false;
1708
1709        return true;
1710    }
1711
1712    /**
1713     * Returns <tt>true</tt> if the two specified arrays of bytes are
1714     * <i>equal</i> to one another.  Two arrays are considered equal if both
1715     * arrays contain the same number of elements, and all corresponding pairs
1716     * of elements in the two arrays are equal.  In other words, two arrays
1717     * are equal if they contain the same elements in the same order.  Also,
1718     * two array references are considered equal if both are <tt>null</tt>.<p>
1719     *
1720     * @param a one array to be tested for equality
1721     * @param a2 the other array to be tested for equality
1722     * @return <tt>true</tt> if the two arrays are equal
1723     */
1724    public static boolean equals(byte[] a, byte[] a2) {
1725        if (a==a2)
1726            return true;
1727        if (a==null || a2==null)
1728            return false;
1729
1730        int length = a.length;
1731        if (a2.length != length)
1732            return false;
1733
1734        for (int i=0; i<length; i++)
1735            if (a[i] != a2[i])
1736                return false;
1737
1738        return true;
1739    }
1740
1741    /**
1742     * Returns <tt>true</tt> if the two specified arrays of booleans are
1743     * <i>equal</i> to one another.  Two arrays are considered equal if both
1744     * arrays contain the same number of elements, and all corresponding pairs
1745     * of elements in the two arrays are equal.  In other words, two arrays
1746     * are equal if they contain the same elements in the same order.  Also,
1747     * two array references are considered equal if both are <tt>null</tt>.<p>
1748     *
1749     * @param a one array to be tested for equality
1750     * @param a2 the other array to be tested for equality
1751     * @return <tt>true</tt> if the two arrays are equal
1752     */
1753    public static boolean equals(boolean[] a, boolean[] a2) {
1754        if (a==a2)
1755            return true;
1756        if (a==null || a2==null)
1757            return false;
1758
1759        int length = a.length;
1760        if (a2.length != length)
1761            return false;
1762
1763        for (int i=0; i<length; i++)
1764            if (a[i] != a2[i])
1765                return false;
1766
1767        return true;
1768    }
1769
1770    /**
1771     * Returns <tt>true</tt> if the two specified arrays of doubles are
1772     * <i>equal</i> to one another.  Two arrays are considered equal if both
1773     * arrays contain the same number of elements, and all corresponding pairs
1774     * of elements in the two arrays are equal.  In other words, two arrays
1775     * are equal if they contain the same elements in the same order.  Also,
1776     * two array references are considered equal if both are <tt>null</tt>.<p>
1777     *
1778     * Two doubles <tt>d1</tt> and <tt>d2</tt> are considered equal if:
1779     * <pre>    <tt>new Double(d1).equals(new Double(d2))</tt></pre>
1780     * (Unlike the <tt>==</tt> operator, this method considers
1781     * <tt>NaN</tt> equals to itself, and 0.0d unequal to -0.0d.)
1782     *
1783     * @param a one array to be tested for equality
1784     * @param a2 the other array to be tested for equality
1785     * @return <tt>true</tt> if the two arrays are equal
1786     * @see Double#equals(Object)
1787     */
1788    public static boolean equals(double[] a, double[] a2) {
1789        if (a==a2)
1790            return true;
1791        if (a==null || a2==null)
1792            return false;
1793
1794        int length = a.length;
1795        if (a2.length != length)
1796            return false;
1797
1798        for (int i=0; i<length; i++)
1799            if (Double.doubleToLongBits(a[i])!=Double.doubleToLongBits(a2[i]))
1800                return false;
1801
1802        return true;
1803    }
1804
1805    /**
1806     * Returns <tt>true</tt> if the two specified arrays of floats are
1807     * <i>equal</i> to one another.  Two arrays are considered equal if both
1808     * arrays contain the same number of elements, and all corresponding pairs
1809     * of elements in the two arrays are equal.  In other words, two arrays
1810     * are equal if they contain the same elements in the same order.  Also,
1811     * two array references are considered equal if both are <tt>null</tt>.<p>
1812     *
1813     * Two floats <tt>f1</tt> and <tt>f2</tt> are considered equal if:
1814     * <pre>    <tt>new Float(f1).equals(new Float(f2))</tt></pre>
1815     * (Unlike the <tt>==</tt> operator, this method considers
1816     * <tt>NaN</tt> equals to itself, and 0.0f unequal to -0.0f.)
1817     *
1818     * @param a one array to be tested for equality
1819     * @param a2 the other array to be tested for equality
1820     * @return <tt>true</tt> if the two arrays are equal
1821     * @see Float#equals(Object)
1822     */
1823    public static boolean equals(float[] a, float[] a2) {
1824        if (a==a2)
1825            return true;
1826        if (a==null || a2==null)
1827            return false;
1828
1829        int length = a.length;
1830        if (a2.length != length)
1831            return false;
1832
1833        for (int i=0; i<length; i++)
1834            if (Float.floatToIntBits(a[i])!=Float.floatToIntBits(a2[i]))
1835                return false;
1836
1837        return true;
1838    }
1839
1840    /**
1841     * Returns <tt>true</tt> if the two specified arrays of Objects are
1842     * <i>equal</i> to one another.  The two arrays are considered equal if
1843     * both arrays contain the same number of elements, and all corresponding
1844     * pairs of elements in the two arrays are equal.  Two objects <tt>e1</tt>
1845     * and <tt>e2</tt> are considered <i>equal</i> if <tt>(e1==null ? e2==null
1846     * : e1.equals(e2))</tt>.  In other words, the two arrays are equal if
1847     * they contain the same elements in the same order.  Also, two array
1848     * references are considered equal if both are <tt>null</tt>.<p>
1849     *
1850     * @param a one array to be tested for equality
1851     * @param a2 the other array to be tested for equality
1852     * @return <tt>true</tt> if the two arrays are equal
1853     */
1854    public static boolean equals(Object[] a, Object[] a2) {
1855        if (a==a2)
1856            return true;
1857        if (a==null || a2==null)
1858            return false;
1859
1860        int length = a.length;
1861        if (a2.length != length)
1862            return false;
1863
1864        for (int i=0; i<length; i++) {
1865            Object o1 = a[i];
1866            Object o2 = a2[i];
1867            if (!(o1==null ? o2==null : o1.equals(o2)))
1868                return false;
1869        }
1870
1871        return true;
1872    }
1873
1874    // Filling
1875
1876    /**
1877     * Assigns the specified long value to each element of the specified array
1878     * of longs.
1879     *
1880     * @param a the array to be filled
1881     * @param val the value to be stored in all elements of the array
1882     */
1883    public static void fill(long[] a, long val) {
1884        for (int i = 0, len = a.length; i < len; i++)
1885            a[i] = val;
1886    }
1887
1888    /**
1889     * Assigns the specified long value to each element of the specified
1890     * range of the specified array of longs.  The range to be filled
1891     * extends from index <tt>fromIndex</tt>, inclusive, to index
1892     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
1893     * range to be filled is empty.)
1894     *
1895     * @param a the array to be filled
1896     * @param fromIndex the index of the first element (inclusive) to be
1897     *        filled with the specified value
1898     * @param toIndex the index of the last element (exclusive) to be
1899     *        filled with the specified value
1900     * @param val the value to be stored in all elements of the array
1901     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
1902     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
1903     *         <tt>toIndex &gt; a.length</tt>
1904     */
1905    public static void fill(long[] a, int fromIndex, int toIndex, long val) {
1906        rangeCheck(a.length, fromIndex, toIndex);
1907        for (int i = fromIndex; i < toIndex; i++)
1908            a[i] = val;
1909    }
1910
1911    /**
1912     * Assigns the specified int value to each element of the specified array
1913     * of ints.
1914     *
1915     * @param a the array to be filled
1916     * @param val the value to be stored in all elements of the array
1917     */
1918    public static void fill(int[] a, int val) {
1919        for (int i = 0, len = a.length; i < len; i++)
1920            a[i] = val;
1921    }
1922
1923    /**
1924     * Assigns the specified int value to each element of the specified
1925     * range of the specified array of ints.  The range to be filled
1926     * extends from index <tt>fromIndex</tt>, inclusive, to index
1927     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
1928     * range to be filled is empty.)
1929     *
1930     * @param a the array to be filled
1931     * @param fromIndex the index of the first element (inclusive) to be
1932     *        filled with the specified value
1933     * @param toIndex the index of the last element (exclusive) to be
1934     *        filled with the specified value
1935     * @param val the value to be stored in all elements of the array
1936     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
1937     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
1938     *         <tt>toIndex &gt; a.length</tt>
1939     */
1940    public static void fill(int[] a, int fromIndex, int toIndex, int val) {
1941        rangeCheck(a.length, fromIndex, toIndex);
1942        for (int i = fromIndex; i < toIndex; i++)
1943            a[i] = val;
1944    }
1945
1946    /**
1947     * Assigns the specified short value to each element of the specified array
1948     * of shorts.
1949     *
1950     * @param a the array to be filled
1951     * @param val the value to be stored in all elements of the array
1952     */
1953    public static void fill(short[] a, short val) {
1954        for (int i = 0, len = a.length; i < len; i++)
1955            a[i] = val;
1956    }
1957
1958    /**
1959     * Assigns the specified short value to each element of the specified
1960     * range of the specified array of shorts.  The range to be filled
1961     * extends from index <tt>fromIndex</tt>, inclusive, to index
1962     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
1963     * range to be filled is empty.)
1964     *
1965     * @param a the array to be filled
1966     * @param fromIndex the index of the first element (inclusive) to be
1967     *        filled with the specified value
1968     * @param toIndex the index of the last element (exclusive) to be
1969     *        filled with the specified value
1970     * @param val the value to be stored in all elements of the array
1971     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
1972     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
1973     *         <tt>toIndex &gt; a.length</tt>
1974     */
1975    public static void fill(short[] a, int fromIndex, int toIndex, short val) {
1976        rangeCheck(a.length, fromIndex, toIndex);
1977        for (int i = fromIndex; i < toIndex; i++)
1978            a[i] = val;
1979    }
1980
1981    /**
1982     * Assigns the specified char value to each element of the specified array
1983     * of chars.
1984     *
1985     * @param a the array to be filled
1986     * @param val the value to be stored in all elements of the array
1987     */
1988    public static void fill(char[] a, char val) {
1989        for (int i = 0, len = a.length; i < len; i++)
1990            a[i] = val;
1991    }
1992
1993    /**
1994     * Assigns the specified char value to each element of the specified
1995     * range of the specified array of chars.  The range to be filled
1996     * extends from index <tt>fromIndex</tt>, inclusive, to index
1997     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
1998     * range to be filled is empty.)
1999     *
2000     * @param a the array to be filled
2001     * @param fromIndex the index of the first element (inclusive) to be
2002     *        filled with the specified value
2003     * @param toIndex the index of the last element (exclusive) to be
2004     *        filled with the specified value
2005     * @param val the value to be stored in all elements of the array
2006     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2007     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2008     *         <tt>toIndex &gt; a.length</tt>
2009     */
2010    public static void fill(char[] a, int fromIndex, int toIndex, char val) {
2011        rangeCheck(a.length, fromIndex, toIndex);
2012        for (int i = fromIndex; i < toIndex; i++)
2013            a[i] = val;
2014    }
2015
2016    /**
2017     * Assigns the specified byte value to each element of the specified array
2018     * of bytes.
2019     *
2020     * @param a the array to be filled
2021     * @param val the value to be stored in all elements of the array
2022     */
2023    public static void fill(byte[] a, byte val) {
2024        for (int i = 0, len = a.length; i < len; i++)
2025            a[i] = val;
2026    }
2027
2028    /**
2029     * Assigns the specified byte value to each element of the specified
2030     * range of the specified array of bytes.  The range to be filled
2031     * extends from index <tt>fromIndex</tt>, inclusive, to index
2032     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
2033     * range to be filled is empty.)
2034     *
2035     * @param a the array to be filled
2036     * @param fromIndex the index of the first element (inclusive) to be
2037     *        filled with the specified value
2038     * @param toIndex the index of the last element (exclusive) to be
2039     *        filled with the specified value
2040     * @param val the value to be stored in all elements of the array
2041     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2042     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2043     *         <tt>toIndex &gt; a.length</tt>
2044     */
2045    public static void fill(byte[] a, int fromIndex, int toIndex, byte val) {
2046        rangeCheck(a.length, fromIndex, toIndex);
2047        for (int i = fromIndex; i < toIndex; i++)
2048            a[i] = val;
2049    }
2050
2051    /**
2052     * Assigns the specified boolean value to each element of the specified
2053     * array of booleans.
2054     *
2055     * @param a the array to be filled
2056     * @param val the value to be stored in all elements of the array
2057     */
2058    public static void fill(boolean[] a, boolean val) {
2059        for (int i = 0, len = a.length; i < len; i++)
2060            a[i] = val;
2061    }
2062
2063    /**
2064     * Assigns the specified boolean value to each element of the specified
2065     * range of the specified array of booleans.  The range to be filled
2066     * extends from index <tt>fromIndex</tt>, inclusive, to index
2067     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
2068     * range to be filled is empty.)
2069     *
2070     * @param a the array to be filled
2071     * @param fromIndex the index of the first element (inclusive) to be
2072     *        filled with the specified value
2073     * @param toIndex the index of the last element (exclusive) to be
2074     *        filled with the specified value
2075     * @param val the value to be stored in all elements of the array
2076     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2077     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2078     *         <tt>toIndex &gt; a.length</tt>
2079     */
2080    public static void fill(boolean[] a, int fromIndex, int toIndex,
2081                            boolean val) {
2082        rangeCheck(a.length, fromIndex, toIndex);
2083        for (int i = fromIndex; i < toIndex; i++)
2084            a[i] = val;
2085    }
2086
2087    /**
2088     * Assigns the specified double value to each element of the specified
2089     * array of doubles.
2090     *
2091     * @param a the array to be filled
2092     * @param val the value to be stored in all elements of the array
2093     */
2094    public static void fill(double[] a, double val) {
2095        for (int i = 0, len = a.length; i < len; i++)
2096            a[i] = val;
2097    }
2098
2099    /**
2100     * Assigns the specified double value to each element of the specified
2101     * range of the specified array of doubles.  The range to be filled
2102     * extends from index <tt>fromIndex</tt>, inclusive, to index
2103     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
2104     * range to be filled is empty.)
2105     *
2106     * @param a the array to be filled
2107     * @param fromIndex the index of the first element (inclusive) to be
2108     *        filled with the specified value
2109     * @param toIndex the index of the last element (exclusive) to be
2110     *        filled with the specified value
2111     * @param val the value to be stored in all elements of the array
2112     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2113     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2114     *         <tt>toIndex &gt; a.length</tt>
2115     */
2116    public static void fill(double[] a, int fromIndex, int toIndex,double val){
2117        rangeCheck(a.length, fromIndex, toIndex);
2118        for (int i = fromIndex; i < toIndex; i++)
2119            a[i] = val;
2120    }
2121
2122    /**
2123     * Assigns the specified float value to each element of the specified array
2124     * of floats.
2125     *
2126     * @param a the array to be filled
2127     * @param val the value to be stored in all elements of the array
2128     */
2129    public static void fill(float[] a, float val) {
2130        for (int i = 0, len = a.length; i < len; i++)
2131            a[i] = val;
2132    }
2133
2134    /**
2135     * Assigns the specified float value to each element of the specified
2136     * range of the specified array of floats.  The range to be filled
2137     * extends from index <tt>fromIndex</tt>, inclusive, to index
2138     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
2139     * range to be filled is empty.)
2140     *
2141     * @param a the array to be filled
2142     * @param fromIndex the index of the first element (inclusive) to be
2143     *        filled with the specified value
2144     * @param toIndex the index of the last element (exclusive) to be
2145     *        filled with the specified value
2146     * @param val the value to be stored in all elements of the array
2147     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2148     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2149     *         <tt>toIndex &gt; a.length</tt>
2150     */
2151    public static void fill(float[] a, int fromIndex, int toIndex, float val) {
2152        rangeCheck(a.length, fromIndex, toIndex);
2153        for (int i = fromIndex; i < toIndex; i++)
2154            a[i] = val;
2155    }
2156
2157    /**
2158     * Assigns the specified Object reference to each element of the specified
2159     * array of Objects.
2160     *
2161     * @param a the array to be filled
2162     * @param val the value to be stored in all elements of the array
2163     * @throws ArrayStoreException if the specified value is not of a
2164     *         runtime type that can be stored in the specified array
2165     */
2166    public static void fill(Object[] a, Object val) {
2167        for (int i = 0, len = a.length; i < len; i++)
2168            a[i] = val;
2169    }
2170
2171    /**
2172     * Assigns the specified Object reference to each element of the specified
2173     * range of the specified array of Objects.  The range to be filled
2174     * extends from index <tt>fromIndex</tt>, inclusive, to index
2175     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
2176     * range to be filled is empty.)
2177     *
2178     * @param a the array to be filled
2179     * @param fromIndex the index of the first element (inclusive) to be
2180     *        filled with the specified value
2181     * @param toIndex the index of the last element (exclusive) to be
2182     *        filled with the specified value
2183     * @param val the value to be stored in all elements of the array
2184     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
2185     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
2186     *         <tt>toIndex &gt; a.length</tt>
2187     * @throws ArrayStoreException if the specified value is not of a
2188     *         runtime type that can be stored in the specified array
2189     */
2190    public static void fill(Object[] a, int fromIndex, int toIndex, Object val) {
2191        rangeCheck(a.length, fromIndex, toIndex);
2192        for (int i = fromIndex; i < toIndex; i++)
2193            a[i] = val;
2194    }
2195
2196    // Cloning
2197
2198    /**
2199     * Copies the specified array, truncating or padding with nulls (if necessary)
2200     * so the copy has the specified length.  For all indices that are
2201     * valid in both the original array and the copy, the two arrays will
2202     * contain identical values.  For any indices that are valid in the
2203     * copy but not the original, the copy will contain <tt>null</tt>.
2204     * Such indices will exist if and only if the specified length
2205     * is greater than that of the original array.
2206     * The resulting array is of exactly the same class as the original array.
2207     *
2208     * @param original the array to be copied
2209     * @param newLength the length of the copy to be returned
2210     * @return a copy of the original array, truncated or padded with nulls
2211     *     to obtain the specified length
2212     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2213     * @throws NullPointerException if <tt>original</tt> is null
2214     * @since 1.6
2215     */
2216    public static <T> T[] copyOf(T[] original, int newLength) {
2217        return (T[]) copyOf(original, newLength, original.getClass());
2218    }
2219
2220    /**
2221     * Copies the specified array, truncating or padding with nulls (if necessary)
2222     * so the copy has the specified length.  For all indices that are
2223     * valid in both the original array and the copy, the two arrays will
2224     * contain identical values.  For any indices that are valid in the
2225     * copy but not the original, the copy will contain <tt>null</tt>.
2226     * Such indices will exist if and only if the specified length
2227     * is greater than that of the original array.
2228     * The resulting array is of the class <tt>newType</tt>.
2229     *
2230     * @param original the array to be copied
2231     * @param newLength the length of the copy to be returned
2232     * @param newType the class of the copy to be returned
2233     * @return a copy of the original array, truncated or padded with nulls
2234     *     to obtain the specified length
2235     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2236     * @throws NullPointerException if <tt>original</tt> is null
2237     * @throws ArrayStoreException if an element copied from
2238     *     <tt>original</tt> is not of a runtime type that can be stored in
2239     *     an array of class <tt>newType</tt>
2240     * @since 1.6
2241     */
2242    public static <T,U> T[] copyOf(U[] original, int newLength, Class<? extends T[]> newType) {
2243        T[] copy = ((Object)newType == (Object)Object[].class)
2244            ? (T[]) new Object[newLength]
2245            : (T[]) Array.newInstance(newType.getComponentType(), newLength);
2246        System.arraycopy(original, 0, copy, 0,
2247                         Math.min(original.length, newLength));
2248        return copy;
2249    }
2250
2251    /**
2252     * Copies the specified array, truncating or padding with zeros (if necessary)
2253     * so the copy has the specified length.  For all indices that are
2254     * valid in both the original array and the copy, the two arrays will
2255     * contain identical values.  For any indices that are valid in the
2256     * copy but not the original, the copy will contain <tt>(byte)0</tt>.
2257     * Such indices will exist if and only if the specified length
2258     * is greater than that of the original array.
2259     *
2260     * @param original the array to be copied
2261     * @param newLength the length of the copy to be returned
2262     * @return a copy of the original array, truncated or padded with zeros
2263     *     to obtain the specified length
2264     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2265     * @throws NullPointerException if <tt>original</tt> is null
2266     * @since 1.6
2267     */
2268    public static byte[] copyOf(byte[] original, int newLength) {
2269        byte[] copy = new byte[newLength];
2270        System.arraycopy(original, 0, copy, 0,
2271                         Math.min(original.length, newLength));
2272        return copy;
2273    }
2274
2275    /**
2276     * Copies the specified array, truncating or padding with zeros (if necessary)
2277     * so the copy has the specified length.  For all indices that are
2278     * valid in both the original array and the copy, the two arrays will
2279     * contain identical values.  For any indices that are valid in the
2280     * copy but not the original, the copy will contain <tt>(short)0</tt>.
2281     * Such indices will exist if and only if the specified length
2282     * is greater than that of the original array.
2283     *
2284     * @param original the array to be copied
2285     * @param newLength the length of the copy to be returned
2286     * @return a copy of the original array, truncated or padded with zeros
2287     *     to obtain the specified length
2288     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2289     * @throws NullPointerException if <tt>original</tt> is null
2290     * @since 1.6
2291     */
2292    public static short[] copyOf(short[] original, int newLength) {
2293        short[] copy = new short[newLength];
2294        System.arraycopy(original, 0, copy, 0,
2295                         Math.min(original.length, newLength));
2296        return copy;
2297    }
2298
2299    /**
2300     * Copies the specified array, truncating or padding with zeros (if necessary)
2301     * so the copy has the specified length.  For all indices that are
2302     * valid in both the original array and the copy, the two arrays will
2303     * contain identical values.  For any indices that are valid in the
2304     * copy but not the original, the copy will contain <tt>0</tt>.
2305     * Such indices will exist if and only if the specified length
2306     * is greater than that of the original array.
2307     *
2308     * @param original the array to be copied
2309     * @param newLength the length of the copy to be returned
2310     * @return a copy of the original array, truncated or padded with zeros
2311     *     to obtain the specified length
2312     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2313     * @throws NullPointerException if <tt>original</tt> is null
2314     * @since 1.6
2315     */
2316    public static int[] copyOf(int[] original, int newLength) {
2317        int[] copy = new int[newLength];
2318        System.arraycopy(original, 0, copy, 0,
2319                         Math.min(original.length, newLength));
2320        return copy;
2321    }
2322
2323    /**
2324     * Copies the specified array, truncating or padding with zeros (if necessary)
2325     * so the copy has the specified length.  For all indices that are
2326     * valid in both the original array and the copy, the two arrays will
2327     * contain identical values.  For any indices that are valid in the
2328     * copy but not the original, the copy will contain <tt>0L</tt>.
2329     * Such indices will exist if and only if the specified length
2330     * is greater than that of the original array.
2331     *
2332     * @param original the array to be copied
2333     * @param newLength the length of the copy to be returned
2334     * @return a copy of the original array, truncated or padded with zeros
2335     *     to obtain the specified length
2336     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2337     * @throws NullPointerException if <tt>original</tt> is null
2338     * @since 1.6
2339     */
2340    public static long[] copyOf(long[] original, int newLength) {
2341        long[] copy = new long[newLength];
2342        System.arraycopy(original, 0, copy, 0,
2343                         Math.min(original.length, newLength));
2344        return copy;
2345    }
2346
2347    /**
2348     * Copies the specified array, truncating or padding with null characters (if necessary)
2349     * so the copy has the specified length.  For all indices that are valid
2350     * in both the original array and the copy, the two arrays will contain
2351     * identical values.  For any indices that are valid in the copy but not
2352     * the original, the copy will contain <tt>'\\u000'</tt>.  Such indices
2353     * will exist if and only if the specified length is greater than that of
2354     * the original array.
2355     *
2356     * @param original the array to be copied
2357     * @param newLength the length of the copy to be returned
2358     * @return a copy of the original array, truncated or padded with null characters
2359     *     to obtain the specified length
2360     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2361     * @throws NullPointerException if <tt>original</tt> is null
2362     * @since 1.6
2363     */
2364    public static char[] copyOf(char[] original, int newLength) {
2365        char[] copy = new char[newLength];
2366        System.arraycopy(original, 0, copy, 0,
2367                         Math.min(original.length, newLength));
2368        return copy;
2369    }
2370
2371    /**
2372     * Copies the specified array, truncating or padding with zeros (if necessary)
2373     * so the copy has the specified length.  For all indices that are
2374     * valid in both the original array and the copy, the two arrays will
2375     * contain identical values.  For any indices that are valid in the
2376     * copy but not the original, the copy will contain <tt>0f</tt>.
2377     * Such indices will exist if and only if the specified length
2378     * is greater than that of the original array.
2379     *
2380     * @param original the array to be copied
2381     * @param newLength the length of the copy to be returned
2382     * @return a copy of the original array, truncated or padded with zeros
2383     *     to obtain the specified length
2384     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2385     * @throws NullPointerException if <tt>original</tt> is null
2386     * @since 1.6
2387     */
2388    public static float[] copyOf(float[] original, int newLength) {
2389        float[] copy = new float[newLength];
2390        System.arraycopy(original, 0, copy, 0,
2391                         Math.min(original.length, newLength));
2392        return copy;
2393    }
2394
2395    /**
2396     * Copies the specified array, truncating or padding with zeros (if necessary)
2397     * so the copy has the specified length.  For all indices that are
2398     * valid in both the original array and the copy, the two arrays will
2399     * contain identical values.  For any indices that are valid in the
2400     * copy but not the original, the copy will contain <tt>0d</tt>.
2401     * Such indices will exist if and only if the specified length
2402     * is greater than that of the original array.
2403     *
2404     * @param original the array to be copied
2405     * @param newLength the length of the copy to be returned
2406     * @return a copy of the original array, truncated or padded with zeros
2407     *     to obtain the specified length
2408     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2409     * @throws NullPointerException if <tt>original</tt> is null
2410     * @since 1.6
2411     */
2412    public static double[] copyOf(double[] original, int newLength) {
2413        double[] copy = new double[newLength];
2414        System.arraycopy(original, 0, copy, 0,
2415                         Math.min(original.length, newLength));
2416        return copy;
2417    }
2418
2419    /**
2420     * Copies the specified array, truncating or padding with <tt>false</tt> (if necessary)
2421     * so the copy has the specified length.  For all indices that are
2422     * valid in both the original array and the copy, the two arrays will
2423     * contain identical values.  For any indices that are valid in the
2424     * copy but not the original, the copy will contain <tt>false</tt>.
2425     * Such indices will exist if and only if the specified length
2426     * is greater than that of the original array.
2427     *
2428     * @param original the array to be copied
2429     * @param newLength the length of the copy to be returned
2430     * @return a copy of the original array, truncated or padded with false elements
2431     *     to obtain the specified length
2432     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
2433     * @throws NullPointerException if <tt>original</tt> is null
2434     * @since 1.6
2435     */
2436    public static boolean[] copyOf(boolean[] original, int newLength) {
2437        boolean[] copy = new boolean[newLength];
2438        System.arraycopy(original, 0, copy, 0,
2439                         Math.min(original.length, newLength));
2440        return copy;
2441    }
2442
2443    /**
2444     * Copies the specified range of the specified array into a new array.
2445     * The initial index of the range (<tt>from</tt>) must lie between zero
2446     * and <tt>original.length</tt>, inclusive.  The value at
2447     * <tt>original[from]</tt> is placed into the initial element of the copy
2448     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2449     * Values from subsequent elements in the original array are placed into
2450     * subsequent elements in the copy.  The final index of the range
2451     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2452     * may be greater than <tt>original.length</tt>, in which case
2453     * <tt>null</tt> is placed in all elements of the copy whose index is
2454     * greater than or equal to <tt>original.length - from</tt>.  The length
2455     * of the returned array will be <tt>to - from</tt>.
2456     * <p>
2457     * The resulting array is of exactly the same class as the original array.
2458     *
2459     * @param original the array from which a range is to be copied
2460     * @param from the initial index of the range to be copied, inclusive
2461     * @param to the final index of the range to be copied, exclusive.
2462     *     (This index may lie outside the array.)
2463     * @return a new array containing the specified range from the original array,
2464     *     truncated or padded with nulls to obtain the required length
2465     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2466     *     or {@code from > original.length}
2467     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2468     * @throws NullPointerException if <tt>original</tt> is null
2469     * @since 1.6
2470     */
2471    public static <T> T[] copyOfRange(T[] original, int from, int to) {
2472        return copyOfRange(original, from, to, (Class<T[]>) original.getClass());
2473    }
2474
2475    /**
2476     * Copies the specified range of the specified array into a new array.
2477     * The initial index of the range (<tt>from</tt>) must lie between zero
2478     * and <tt>original.length</tt>, inclusive.  The value at
2479     * <tt>original[from]</tt> is placed into the initial element of the copy
2480     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2481     * Values from subsequent elements in the original array are placed into
2482     * subsequent elements in the copy.  The final index of the range
2483     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2484     * may be greater than <tt>original.length</tt>, in which case
2485     * <tt>null</tt> is placed in all elements of the copy whose index is
2486     * greater than or equal to <tt>original.length - from</tt>.  The length
2487     * of the returned array will be <tt>to - from</tt>.
2488     * The resulting array is of the class <tt>newType</tt>.
2489     *
2490     * @param original the array from which a range is to be copied
2491     * @param from the initial index of the range to be copied, inclusive
2492     * @param to the final index of the range to be copied, exclusive.
2493     *     (This index may lie outside the array.)
2494     * @param newType the class of the copy to be returned
2495     * @return a new array containing the specified range from the original array,
2496     *     truncated or padded with nulls to obtain the required length
2497     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2498     *     or {@code from > original.length}
2499     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2500     * @throws NullPointerException if <tt>original</tt> is null
2501     * @throws ArrayStoreException if an element copied from
2502     *     <tt>original</tt> is not of a runtime type that can be stored in
2503     *     an array of class <tt>newType</tt>.
2504     * @since 1.6
2505     */
2506    public static <T,U> T[] copyOfRange(U[] original, int from, int to, Class<? extends T[]> newType) {
2507        int newLength = to - from;
2508        if (newLength < 0)
2509            throw new IllegalArgumentException(from + " > " + to);
2510        T[] copy = ((Object)newType == (Object)Object[].class)
2511            ? (T[]) new Object[newLength]
2512            : (T[]) Array.newInstance(newType.getComponentType(), newLength);
2513        System.arraycopy(original, from, copy, 0,
2514                         Math.min(original.length - from, newLength));
2515        return copy;
2516    }
2517
2518    /**
2519     * Copies the specified range of the specified array into a new array.
2520     * The initial index of the range (<tt>from</tt>) must lie between zero
2521     * and <tt>original.length</tt>, inclusive.  The value at
2522     * <tt>original[from]</tt> is placed into the initial element of the copy
2523     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2524     * Values from subsequent elements in the original array are placed into
2525     * subsequent elements in the copy.  The final index of the range
2526     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2527     * may be greater than <tt>original.length</tt>, in which case
2528     * <tt>(byte)0</tt> is placed in all elements of the copy whose index is
2529     * greater than or equal to <tt>original.length - from</tt>.  The length
2530     * of the returned array will be <tt>to - from</tt>.
2531     *
2532     * @param original the array from which a range is to be copied
2533     * @param from the initial index of the range to be copied, inclusive
2534     * @param to the final index of the range to be copied, exclusive.
2535     *     (This index may lie outside the array.)
2536     * @return a new array containing the specified range from the original array,
2537     *     truncated or padded with zeros to obtain the required length
2538     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2539     *     or {@code from > original.length}
2540     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2541     * @throws NullPointerException if <tt>original</tt> is null
2542     * @since 1.6
2543     */
2544    public static byte[] copyOfRange(byte[] original, int from, int to) {
2545        int newLength = to - from;
2546        if (newLength < 0)
2547            throw new IllegalArgumentException(from + " > " + to);
2548        byte[] copy = new byte[newLength];
2549        System.arraycopy(original, from, copy, 0,
2550                         Math.min(original.length - from, newLength));
2551        return copy;
2552    }
2553
2554    /**
2555     * Copies the specified range of the specified array into a new array.
2556     * The initial index of the range (<tt>from</tt>) must lie between zero
2557     * and <tt>original.length</tt>, inclusive.  The value at
2558     * <tt>original[from]</tt> is placed into the initial element of the copy
2559     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2560     * Values from subsequent elements in the original array are placed into
2561     * subsequent elements in the copy.  The final index of the range
2562     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2563     * may be greater than <tt>original.length</tt>, in which case
2564     * <tt>(short)0</tt> is placed in all elements of the copy whose index is
2565     * greater than or equal to <tt>original.length - from</tt>.  The length
2566     * of the returned array will be <tt>to - from</tt>.
2567     *
2568     * @param original the array from which a range is to be copied
2569     * @param from the initial index of the range to be copied, inclusive
2570     * @param to the final index of the range to be copied, exclusive.
2571     *     (This index may lie outside the array.)
2572     * @return a new array containing the specified range from the original array,
2573     *     truncated or padded with zeros to obtain the required length
2574     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2575     *     or {@code from > original.length}
2576     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2577     * @throws NullPointerException if <tt>original</tt> is null
2578     * @since 1.6
2579     */
2580    public static short[] copyOfRange(short[] original, int from, int to) {
2581        int newLength = to - from;
2582        if (newLength < 0)
2583            throw new IllegalArgumentException(from + " > " + to);
2584        short[] copy = new short[newLength];
2585        System.arraycopy(original, from, copy, 0,
2586                         Math.min(original.length - from, newLength));
2587        return copy;
2588    }
2589
2590    /**
2591     * Copies the specified range of the specified array into a new array.
2592     * The initial index of the range (<tt>from</tt>) must lie between zero
2593     * and <tt>original.length</tt>, inclusive.  The value at
2594     * <tt>original[from]</tt> is placed into the initial element of the copy
2595     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2596     * Values from subsequent elements in the original array are placed into
2597     * subsequent elements in the copy.  The final index of the range
2598     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2599     * may be greater than <tt>original.length</tt>, in which case
2600     * <tt>0</tt> is placed in all elements of the copy whose index is
2601     * greater than or equal to <tt>original.length - from</tt>.  The length
2602     * of the returned array will be <tt>to - from</tt>.
2603     *
2604     * @param original the array from which a range is to be copied
2605     * @param from the initial index of the range to be copied, inclusive
2606     * @param to the final index of the range to be copied, exclusive.
2607     *     (This index may lie outside the array.)
2608     * @return a new array containing the specified range from the original array,
2609     *     truncated or padded with zeros to obtain the required length
2610     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2611     *     or {@code from > original.length}
2612     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2613     * @throws NullPointerException if <tt>original</tt> is null
2614     * @since 1.6
2615     */
2616    public static int[] copyOfRange(int[] original, int from, int to) {
2617        int newLength = to - from;
2618        if (newLength < 0)
2619            throw new IllegalArgumentException(from + " > " + to);
2620        int[] copy = new int[newLength];
2621        System.arraycopy(original, from, copy, 0,
2622                         Math.min(original.length - from, newLength));
2623        return copy;
2624    }
2625
2626    /**
2627     * Copies the specified range of the specified array into a new array.
2628     * The initial index of the range (<tt>from</tt>) must lie between zero
2629     * and <tt>original.length</tt>, inclusive.  The value at
2630     * <tt>original[from]</tt> is placed into the initial element of the copy
2631     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2632     * Values from subsequent elements in the original array are placed into
2633     * subsequent elements in the copy.  The final index of the range
2634     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2635     * may be greater than <tt>original.length</tt>, in which case
2636     * <tt>0L</tt> is placed in all elements of the copy whose index is
2637     * greater than or equal to <tt>original.length - from</tt>.  The length
2638     * of the returned array will be <tt>to - from</tt>.
2639     *
2640     * @param original the array from which a range is to be copied
2641     * @param from the initial index of the range to be copied, inclusive
2642     * @param to the final index of the range to be copied, exclusive.
2643     *     (This index may lie outside the array.)
2644     * @return a new array containing the specified range from the original array,
2645     *     truncated or padded with zeros to obtain the required length
2646     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2647     *     or {@code from > original.length}
2648     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2649     * @throws NullPointerException if <tt>original</tt> is null
2650     * @since 1.6
2651     */
2652    public static long[] copyOfRange(long[] original, int from, int to) {
2653        int newLength = to - from;
2654        if (newLength < 0)
2655            throw new IllegalArgumentException(from + " > " + to);
2656        long[] copy = new long[newLength];
2657        System.arraycopy(original, from, copy, 0,
2658                         Math.min(original.length - from, newLength));
2659        return copy;
2660    }
2661
2662    /**
2663     * Copies the specified range of the specified array into a new array.
2664     * The initial index of the range (<tt>from</tt>) must lie between zero
2665     * and <tt>original.length</tt>, inclusive.  The value at
2666     * <tt>original[from]</tt> is placed into the initial element of the copy
2667     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2668     * Values from subsequent elements in the original array are placed into
2669     * subsequent elements in the copy.  The final index of the range
2670     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2671     * may be greater than <tt>original.length</tt>, in which case
2672     * <tt>'\\u000'</tt> is placed in all elements of the copy whose index is
2673     * greater than or equal to <tt>original.length - from</tt>.  The length
2674     * of the returned array will be <tt>to - from</tt>.
2675     *
2676     * @param original the array from which a range is to be copied
2677     * @param from the initial index of the range to be copied, inclusive
2678     * @param to the final index of the range to be copied, exclusive.
2679     *     (This index may lie outside the array.)
2680     * @return a new array containing the specified range from the original array,
2681     *     truncated or padded with null characters to obtain the required length
2682     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2683     *     or {@code from > original.length}
2684     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2685     * @throws NullPointerException if <tt>original</tt> is null
2686     * @since 1.6
2687     */
2688    public static char[] copyOfRange(char[] original, int from, int to) {
2689        int newLength = to - from;
2690        if (newLength < 0)
2691            throw new IllegalArgumentException(from + " > " + to);
2692        char[] copy = new char[newLength];
2693        System.arraycopy(original, from, copy, 0,
2694                         Math.min(original.length - from, newLength));
2695        return copy;
2696    }
2697
2698    /**
2699     * Copies the specified range of the specified array into a new array.
2700     * The initial index of the range (<tt>from</tt>) must lie between zero
2701     * and <tt>original.length</tt>, inclusive.  The value at
2702     * <tt>original[from]</tt> is placed into the initial element of the copy
2703     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2704     * Values from subsequent elements in the original array are placed into
2705     * subsequent elements in the copy.  The final index of the range
2706     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2707     * may be greater than <tt>original.length</tt>, in which case
2708     * <tt>0f</tt> is placed in all elements of the copy whose index is
2709     * greater than or equal to <tt>original.length - from</tt>.  The length
2710     * of the returned array will be <tt>to - from</tt>.
2711     *
2712     * @param original the array from which a range is to be copied
2713     * @param from the initial index of the range to be copied, inclusive
2714     * @param to the final index of the range to be copied, exclusive.
2715     *     (This index may lie outside the array.)
2716     * @return a new array containing the specified range from the original array,
2717     *     truncated or padded with zeros to obtain the required length
2718     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2719     *     or {@code from > original.length}
2720     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2721     * @throws NullPointerException if <tt>original</tt> is null
2722     * @since 1.6
2723     */
2724    public static float[] copyOfRange(float[] original, int from, int to) {
2725        int newLength = to - from;
2726        if (newLength < 0)
2727            throw new IllegalArgumentException(from + " > " + to);
2728        float[] copy = new float[newLength];
2729        System.arraycopy(original, from, copy, 0,
2730                         Math.min(original.length - from, newLength));
2731        return copy;
2732    }
2733
2734    /**
2735     * Copies the specified range of the specified array into a new array.
2736     * The initial index of the range (<tt>from</tt>) must lie between zero
2737     * and <tt>original.length</tt>, inclusive.  The value at
2738     * <tt>original[from]</tt> is placed into the initial element of the copy
2739     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2740     * Values from subsequent elements in the original array are placed into
2741     * subsequent elements in the copy.  The final index of the range
2742     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2743     * may be greater than <tt>original.length</tt>, in which case
2744     * <tt>0d</tt> is placed in all elements of the copy whose index is
2745     * greater than or equal to <tt>original.length - from</tt>.  The length
2746     * of the returned array will be <tt>to - from</tt>.
2747     *
2748     * @param original the array from which a range is to be copied
2749     * @param from the initial index of the range to be copied, inclusive
2750     * @param to the final index of the range to be copied, exclusive.
2751     *     (This index may lie outside the array.)
2752     * @return a new array containing the specified range from the original array,
2753     *     truncated or padded with zeros to obtain the required length
2754     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2755     *     or {@code from > original.length}
2756     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2757     * @throws NullPointerException if <tt>original</tt> is null
2758     * @since 1.6
2759     */
2760    public static double[] copyOfRange(double[] original, int from, int to) {
2761        int newLength = to - from;
2762        if (newLength < 0)
2763            throw new IllegalArgumentException(from + " > " + to);
2764        double[] copy = new double[newLength];
2765        System.arraycopy(original, from, copy, 0,
2766                         Math.min(original.length - from, newLength));
2767        return copy;
2768    }
2769
2770    /**
2771     * Copies the specified range of the specified array into a new array.
2772     * The initial index of the range (<tt>from</tt>) must lie between zero
2773     * and <tt>original.length</tt>, inclusive.  The value at
2774     * <tt>original[from]</tt> is placed into the initial element of the copy
2775     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
2776     * Values from subsequent elements in the original array are placed into
2777     * subsequent elements in the copy.  The final index of the range
2778     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
2779     * may be greater than <tt>original.length</tt>, in which case
2780     * <tt>false</tt> is placed in all elements of the copy whose index is
2781     * greater than or equal to <tt>original.length - from</tt>.  The length
2782     * of the returned array will be <tt>to - from</tt>.
2783     *
2784     * @param original the array from which a range is to be copied
2785     * @param from the initial index of the range to be copied, inclusive
2786     * @param to the final index of the range to be copied, exclusive.
2787     *     (This index may lie outside the array.)
2788     * @return a new array containing the specified range from the original array,
2789     *     truncated or padded with false elements to obtain the required length
2790     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
2791     *     or {@code from > original.length}
2792     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
2793     * @throws NullPointerException if <tt>original</tt> is null
2794     * @since 1.6
2795     */
2796    public static boolean[] copyOfRange(boolean[] original, int from, int to) {
2797        int newLength = to - from;
2798        if (newLength < 0)
2799            throw new IllegalArgumentException(from + " > " + to);
2800        boolean[] copy = new boolean[newLength];
2801        System.arraycopy(original, from, copy, 0,
2802                         Math.min(original.length - from, newLength));
2803        return copy;
2804    }
2805
2806    // Misc
2807
2808    /**
2809     * Returns a fixed-size list backed by the specified array.  (Changes to
2810     * the returned list "write through" to the array.)  This method acts
2811     * as bridge between array-based and collection-based APIs, in
2812     * combination with {@link Collection#toArray}.  The returned list is
2813     * serializable and implements {@link RandomAccess}.
2814     *
2815     * <p>This method also provides a convenient way to create a fixed-size
2816     * list initialized to contain several elements:
2817     * <pre>
2818     *     List&lt;String&gt; stooges = Arrays.asList("Larry", "Moe", "Curly");
2819     * </pre>
2820     *
2821     * @param a the array by which the list will be backed
2822     * @return a list view of the specified array
2823     */
2824    @SafeVarargs
2825    public static <T> List<T> asList(T... a) {
2826        return new ArrayList<>(a);
2827    }
2828
2829    /**
2830     * @serial include
2831     */
2832    private static class ArrayList<E> extends AbstractList<E>
2833        implements RandomAccess, java.io.Serializable
2834    {
2835        private static final long serialVersionUID = -2764017481108945198L;
2836        private final E[] a;
2837
2838        ArrayList(E[] array) {
2839            if (array==null)
2840                throw new NullPointerException();
2841            a = array;
2842        }
2843
2844        public int size() {
2845            return a.length;
2846        }
2847
2848        public Object[] toArray() {
2849            return a.clone();
2850        }
2851
2852        public <T> T[] toArray(T[] a) {
2853            int size = size();
2854            if (a.length < size)
2855                return Arrays.copyOf(this.a, size,
2856                                     (Class<? extends T[]>) a.getClass());
2857            System.arraycopy(this.a, 0, a, 0, size);
2858            if (a.length > size)
2859                a[size] = null;
2860            return a;
2861        }
2862
2863        public E get(int index) {
2864            return a[index];
2865        }
2866
2867        public E set(int index, E element) {
2868            E oldValue = a[index];
2869            a[index] = element;
2870            return oldValue;
2871        }
2872
2873        public int indexOf(Object o) {
2874            if (o==null) {
2875                for (int i=0; i<a.length; i++)
2876                    if (a[i]==null)
2877                        return i;
2878            } else {
2879                for (int i=0; i<a.length; i++)
2880                    if (o.equals(a[i]))
2881                        return i;
2882            }
2883            return -1;
2884        }
2885
2886        public boolean contains(Object o) {
2887            return indexOf(o) != -1;
2888        }
2889    }
2890
2891    /**
2892     * Returns a hash code based on the contents of the specified array.
2893     * For any two <tt>long</tt> arrays <tt>a</tt> and <tt>b</tt>
2894     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
2895     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
2896     *
2897     * <p>The value returned by this method is the same value that would be
2898     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
2899     * method on a {@link List} containing a sequence of {@link Long}
2900     * instances representing the elements of <tt>a</tt> in the same order.
2901     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
2902     *
2903     * @param a the array whose hash value to compute
2904     * @return a content-based hash code for <tt>a</tt>
2905     * @since 1.5
2906     */
2907    public static int hashCode(long a[]) {
2908        if (a == null)
2909            return 0;
2910
2911        int result = 1;
2912        for (long element : a) {
2913            int elementHash = (int)(element ^ (element >>> 32));
2914            result = 31 * result + elementHash;
2915        }
2916
2917        return result;
2918    }
2919
2920    /**
2921     * Returns a hash code based on the contents of the specified array.
2922     * For any two non-null <tt>int</tt> arrays <tt>a</tt> and <tt>b</tt>
2923     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
2924     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
2925     *
2926     * <p>The value returned by this method is the same value that would be
2927     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
2928     * method on a {@link List} containing a sequence of {@link Integer}
2929     * instances representing the elements of <tt>a</tt> in the same order.
2930     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
2931     *
2932     * @param a the array whose hash value to compute
2933     * @return a content-based hash code for <tt>a</tt>
2934     * @since 1.5
2935     */
2936    public static int hashCode(int a[]) {
2937        if (a == null)
2938            return 0;
2939
2940        int result = 1;
2941        for (int element : a)
2942            result = 31 * result + element;
2943
2944        return result;
2945    }
2946
2947    /**
2948     * Returns a hash code based on the contents of the specified array.
2949     * For any two <tt>short</tt> arrays <tt>a</tt> and <tt>b</tt>
2950     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
2951     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
2952     *
2953     * <p>The value returned by this method is the same value that would be
2954     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
2955     * method on a {@link List} containing a sequence of {@link Short}
2956     * instances representing the elements of <tt>a</tt> in the same order.
2957     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
2958     *
2959     * @param a the array whose hash value to compute
2960     * @return a content-based hash code for <tt>a</tt>
2961     * @since 1.5
2962     */
2963    public static int hashCode(short a[]) {
2964        if (a == null)
2965            return 0;
2966
2967        int result = 1;
2968        for (short element : a)
2969            result = 31 * result + element;
2970
2971        return result;
2972    }
2973
2974    /**
2975     * Returns a hash code based on the contents of the specified array.
2976     * For any two <tt>char</tt> arrays <tt>a</tt> and <tt>b</tt>
2977     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
2978     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
2979     *
2980     * <p>The value returned by this method is the same value that would be
2981     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
2982     * method on a {@link List} containing a sequence of {@link Character}
2983     * instances representing the elements of <tt>a</tt> in the same order.
2984     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
2985     *
2986     * @param a the array whose hash value to compute
2987     * @return a content-based hash code for <tt>a</tt>
2988     * @since 1.5
2989     */
2990    public static int hashCode(char a[]) {
2991        if (a == null)
2992            return 0;
2993
2994        int result = 1;
2995        for (char element : a)
2996            result = 31 * result + element;
2997
2998        return result;
2999    }
3000
3001    /**
3002     * Returns a hash code based on the contents of the specified array.
3003     * For any two <tt>byte</tt> arrays <tt>a</tt> and <tt>b</tt>
3004     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
3005     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
3006     *
3007     * <p>The value returned by this method is the same value that would be
3008     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
3009     * method on a {@link List} containing a sequence of {@link Byte}
3010     * instances representing the elements of <tt>a</tt> in the same order.
3011     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
3012     *
3013     * @param a the array whose hash value to compute
3014     * @return a content-based hash code for <tt>a</tt>
3015     * @since 1.5
3016     */
3017    public static int hashCode(byte a[]) {
3018        if (a == null)
3019            return 0;
3020
3021        int result = 1;
3022        for (byte element : a)
3023            result = 31 * result + element;
3024
3025        return result;
3026    }
3027
3028    /**
3029     * Returns a hash code based on the contents of the specified array.
3030     * For any two <tt>boolean</tt> arrays <tt>a</tt> and <tt>b</tt>
3031     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
3032     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
3033     *
3034     * <p>The value returned by this method is the same value that would be
3035     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
3036     * method on a {@link List} containing a sequence of {@link Boolean}
3037     * instances representing the elements of <tt>a</tt> in the same order.
3038     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
3039     *
3040     * @param a the array whose hash value to compute
3041     * @return a content-based hash code for <tt>a</tt>
3042     * @since 1.5
3043     */
3044    public static int hashCode(boolean a[]) {
3045        if (a == null)
3046            return 0;
3047
3048        int result = 1;
3049        for (boolean element : a)
3050            result = 31 * result + (element ? 1231 : 1237);
3051
3052        return result;
3053    }
3054
3055    /**
3056     * Returns a hash code based on the contents of the specified array.
3057     * For any two <tt>float</tt> arrays <tt>a</tt> and <tt>b</tt>
3058     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
3059     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
3060     *
3061     * <p>The value returned by this method is the same value that would be
3062     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
3063     * method on a {@link List} containing a sequence of {@link Float}
3064     * instances representing the elements of <tt>a</tt> in the same order.
3065     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
3066     *
3067     * @param a the array whose hash value to compute
3068     * @return a content-based hash code for <tt>a</tt>
3069     * @since 1.5
3070     */
3071    public static int hashCode(float a[]) {
3072        if (a == null)
3073            return 0;
3074
3075        int result = 1;
3076        for (float element : a)
3077            result = 31 * result + Float.floatToIntBits(element);
3078
3079        return result;
3080    }
3081
3082    /**
3083     * Returns a hash code based on the contents of the specified array.
3084     * For any two <tt>double</tt> arrays <tt>a</tt> and <tt>b</tt>
3085     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
3086     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
3087     *
3088     * <p>The value returned by this method is the same value that would be
3089     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
3090     * method on a {@link List} containing a sequence of {@link Double}
3091     * instances representing the elements of <tt>a</tt> in the same order.
3092     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
3093     *
3094     * @param a the array whose hash value to compute
3095     * @return a content-based hash code for <tt>a</tt>
3096     * @since 1.5
3097     */
3098    public static int hashCode(double a[]) {
3099        if (a == null)
3100            return 0;
3101
3102        int result = 1;
3103        for (double element : a) {
3104            long bits = Double.doubleToLongBits(element);
3105            result = 31 * result + (int)(bits ^ (bits >>> 32));
3106        }
3107        return result;
3108    }
3109
3110    /**
3111     * Returns a hash code based on the contents of the specified array.  If
3112     * the array contains other arrays as elements, the hash code is based on
3113     * their identities rather than their contents.  It is therefore
3114     * acceptable to invoke this method on an array that contains itself as an
3115     * element,  either directly or indirectly through one or more levels of
3116     * arrays.
3117     *
3118     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
3119     * <tt>Arrays.equals(a, b)</tt>, it is also the case that
3120     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
3121     *
3122     * <p>The value returned by this method is equal to the value that would
3123     * be returned by <tt>Arrays.asList(a).hashCode()</tt>, unless <tt>a</tt>
3124     * is <tt>null</tt>, in which case <tt>0</tt> is returned.
3125     *
3126     * @param a the array whose content-based hash code to compute
3127     * @return a content-based hash code for <tt>a</tt>
3128     * @see #deepHashCode(Object[])
3129     * @since 1.5
3130     */
3131    public static int hashCode(Object a[]) {
3132        if (a == null)
3133            return 0;
3134
3135        int result = 1;
3136
3137        for (Object element : a)
3138            result = 31 * result + (element == null ? 0 : element.hashCode());
3139
3140        return result;
3141    }
3142
3143    /**
3144     * Returns a hash code based on the "deep contents" of the specified
3145     * array.  If the array contains other arrays as elements, the
3146     * hash code is based on their contents and so on, ad infinitum.
3147     * It is therefore unacceptable to invoke this method on an array that
3148     * contains itself as an element, either directly or indirectly through
3149     * one or more levels of arrays.  The behavior of such an invocation is
3150     * undefined.
3151     *
3152     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
3153     * <tt>Arrays.deepEquals(a, b)</tt>, it is also the case that
3154     * <tt>Arrays.deepHashCode(a) == Arrays.deepHashCode(b)</tt>.
3155     *
3156     * <p>The computation of the value returned by this method is similar to
3157     * that of the value returned by {@link List#hashCode()} on a list
3158     * containing the same elements as <tt>a</tt> in the same order, with one
3159     * difference: If an element <tt>e</tt> of <tt>a</tt> is itself an array,
3160     * its hash code is computed not by calling <tt>e.hashCode()</tt>, but as
3161     * by calling the appropriate overloading of <tt>Arrays.hashCode(e)</tt>
3162     * if <tt>e</tt> is an array of a primitive type, or as by calling
3163     * <tt>Arrays.deepHashCode(e)</tt> recursively if <tt>e</tt> is an array
3164     * of a reference type.  If <tt>a</tt> is <tt>null</tt>, this method
3165     * returns 0.
3166     *
3167     * @param a the array whose deep-content-based hash code to compute
3168     * @return a deep-content-based hash code for <tt>a</tt>
3169     * @see #hashCode(Object[])
3170     * @since 1.5
3171     */
3172    public static int deepHashCode(Object a[]) {
3173        if (a == null)
3174            return 0;
3175
3176        int result = 1;
3177
3178        for (Object element : a) {
3179            int elementHash = 0;
3180            if (element != null) {
3181                Class<?> cl = element.getClass().getComponentType();
3182                if (cl == null)
3183                    elementHash = element.hashCode();
3184                else if (element instanceof Object[])
3185                    elementHash = deepHashCode((Object[]) element);
3186                else if (cl == byte.class)
3187                    elementHash = hashCode((byte[]) element);
3188                else if (cl == short.class)
3189                    elementHash = hashCode((short[]) element);
3190                else if (cl == int.class)
3191                    elementHash = hashCode((int[]) element);
3192                else if (cl == long.class)
3193                    elementHash = hashCode((long[]) element);
3194                else if (cl == char.class)
3195                    elementHash = hashCode((char[]) element);
3196                else if (cl == float.class)
3197                    elementHash = hashCode((float[]) element);
3198                else if (cl == double.class)
3199                    elementHash = hashCode((double[]) element);
3200                else if (cl == boolean.class)
3201                    elementHash = hashCode((boolean[]) element);
3202                else
3203                    elementHash = element.hashCode();
3204            }
3205            result = 31 * result + elementHash;
3206        }
3207
3208        return result;
3209    }
3210
3211    /**
3212     * Returns <tt>true</tt> if the two specified arrays are <i>deeply
3213     * equal</i> to one another.  Unlike the {@link #equals(Object[],Object[])}
3214     * method, this method is appropriate for use with nested arrays of
3215     * arbitrary depth.
3216     *
3217     * <p>Two array references are considered deeply equal if both
3218     * are <tt>null</tt>, or if they refer to arrays that contain the same
3219     * number of elements and all corresponding pairs of elements in the two
3220     * arrays are deeply equal.
3221     *
3222     * <p>Two possibly <tt>null</tt> elements <tt>e1</tt> and <tt>e2</tt> are
3223     * deeply equal if any of the following conditions hold:
3224     * <ul>
3225     *    <li> <tt>e1</tt> and <tt>e2</tt> are both arrays of object reference
3226     *         types, and <tt>Arrays.deepEquals(e1, e2) would return true</tt>
3227     *    <li> <tt>e1</tt> and <tt>e2</tt> are arrays of the same primitive
3228     *         type, and the appropriate overloading of
3229     *         <tt>Arrays.equals(e1, e2)</tt> would return true.
3230     *    <li> <tt>e1 == e2</tt>
3231     *    <li> <tt>e1.equals(e2)</tt> would return true.
3232     * </ul>
3233     * Note that this definition permits <tt>null</tt> elements at any depth.
3234     *
3235     * <p>If either of the specified arrays contain themselves as elements
3236     * either directly or indirectly through one or more levels of arrays,
3237     * the behavior of this method is undefined.
3238     *
3239     * @param a1 one array to be tested for equality
3240     * @param a2 the other array to be tested for equality
3241     * @return <tt>true</tt> if the two arrays are equal
3242     * @see #equals(Object[],Object[])
3243     * @see Objects#deepEquals(Object, Object)
3244     * @since 1.5
3245     */
3246    public static boolean deepEquals(Object[] a1, Object[] a2) {
3247        if (a1 == a2)
3248            return true;
3249        if (a1 == null || a2==null)
3250            return false;
3251        int length = a1.length;
3252        if (a2.length != length)
3253            return false;
3254
3255        for (int i = 0; i < length; i++) {
3256            Object e1 = a1[i];
3257            Object e2 = a2[i];
3258
3259            if (e1 == e2)
3260                continue;
3261            if (e1 == null || e2 == null)
3262                return false;
3263
3264            // Figure out whether the two elements are equal
3265            boolean eq = deepEquals0(e1, e2);
3266
3267            if (!eq)
3268                return false;
3269        }
3270        return true;
3271    }
3272
3273    static boolean deepEquals0(Object e1, Object e2) {
3274        Class<?> cl1 = e1.getClass().getComponentType();
3275        Class<?> cl2 = e2.getClass().getComponentType();
3276
3277        if (cl1 != cl2) {
3278            return false;
3279        }
3280        if (e1 instanceof Object[])
3281            return deepEquals ((Object[]) e1, (Object[]) e2);
3282        else if (cl1 == byte.class)
3283            return equals((byte[]) e1, (byte[]) e2);
3284        else if (cl1 == short.class)
3285            return equals((short[]) e1, (short[]) e2);
3286        else if (cl1 == int.class)
3287            return equals((int[]) e1, (int[]) e2);
3288        else if (cl1 == long.class)
3289            return equals((long[]) e1, (long[]) e2);
3290        else if (cl1 == char.class)
3291            return equals((char[]) e1, (char[]) e2);
3292        else if (cl1 == float.class)
3293            return equals((float[]) e1, (float[]) e2);
3294        else if (cl1 == double.class)
3295            return equals((double[]) e1, (double[]) e2);
3296        else if (cl1 == boolean.class)
3297            return equals((boolean[]) e1, (boolean[]) e2);
3298        else
3299            return e1.equals(e2);
3300    }
3301
3302    /**
3303     * Returns a string representation of the contents of the specified array.
3304     * The string representation consists of a list of the array's elements,
3305     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3306     * separated by the characters <tt>", "</tt> (a comma followed by a
3307     * space).  Elements are converted to strings as by
3308     * <tt>String.valueOf(long)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
3309     * is <tt>null</tt>.
3310     *
3311     * @param a the array whose string representation to return
3312     * @return a string representation of <tt>a</tt>
3313     * @since 1.5
3314     */
3315    public static String toString(long[] a) {
3316        if (a == null)
3317            return "null";
3318        int iMax = a.length - 1;
3319        if (iMax == -1)
3320            return "[]";
3321
3322        StringBuilder b = new StringBuilder();
3323        b.append('[');
3324        for (int i = 0; ; i++) {
3325            b.append(a[i]);
3326            if (i == iMax)
3327                return b.append(']').toString();
3328            b.append(", ");
3329        }
3330    }
3331
3332    /**
3333     * Returns a string representation of the contents of the specified array.
3334     * The string representation consists of a list of the array's elements,
3335     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3336     * separated by the characters <tt>", "</tt> (a comma followed by a
3337     * space).  Elements are converted to strings as by
3338     * <tt>String.valueOf(int)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt> is
3339     * <tt>null</tt>.
3340     *
3341     * @param a the array whose string representation to return
3342     * @return a string representation of <tt>a</tt>
3343     * @since 1.5
3344     */
3345    public static String toString(int[] a) {
3346        if (a == null)
3347            return "null";
3348        int iMax = a.length - 1;
3349        if (iMax == -1)
3350            return "[]";
3351
3352        StringBuilder b = new StringBuilder();
3353        b.append('[');
3354        for (int i = 0; ; i++) {
3355            b.append(a[i]);
3356            if (i == iMax)
3357                return b.append(']').toString();
3358            b.append(", ");
3359        }
3360    }
3361
3362    /**
3363     * Returns a string representation of the contents of the specified array.
3364     * The string representation consists of a list of the array's elements,
3365     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3366     * separated by the characters <tt>", "</tt> (a comma followed by a
3367     * space).  Elements are converted to strings as by
3368     * <tt>String.valueOf(short)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
3369     * is <tt>null</tt>.
3370     *
3371     * @param a the array whose string representation to return
3372     * @return a string representation of <tt>a</tt>
3373     * @since 1.5
3374     */
3375    public static String toString(short[] a) {
3376        if (a == null)
3377            return "null";
3378        int iMax = a.length - 1;
3379        if (iMax == -1)
3380            return "[]";
3381
3382        StringBuilder b = new StringBuilder();
3383        b.append('[');
3384        for (int i = 0; ; i++) {
3385            b.append(a[i]);
3386            if (i == iMax)
3387                return b.append(']').toString();
3388            b.append(", ");
3389        }
3390    }
3391
3392    /**
3393     * Returns a string representation of the contents of the specified array.
3394     * The string representation consists of a list of the array's elements,
3395     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3396     * separated by the characters <tt>", "</tt> (a comma followed by a
3397     * space).  Elements are converted to strings as by
3398     * <tt>String.valueOf(char)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
3399     * is <tt>null</tt>.
3400     *
3401     * @param a the array whose string representation to return
3402     * @return a string representation of <tt>a</tt>
3403     * @since 1.5
3404     */
3405    public static String toString(char[] a) {
3406        if (a == null)
3407            return "null";
3408        int iMax = a.length - 1;
3409        if (iMax == -1)
3410            return "[]";
3411
3412        StringBuilder b = new StringBuilder();
3413        b.append('[');
3414        for (int i = 0; ; i++) {
3415            b.append(a[i]);
3416            if (i == iMax)
3417                return b.append(']').toString();
3418            b.append(", ");
3419        }
3420    }
3421
3422    /**
3423     * Returns a string representation of the contents of the specified array.
3424     * The string representation consists of a list of the array's elements,
3425     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements
3426     * are separated by the characters <tt>", "</tt> (a comma followed
3427     * by a space).  Elements are converted to strings as by
3428     * <tt>String.valueOf(byte)</tt>.  Returns <tt>"null"</tt> if
3429     * <tt>a</tt> is <tt>null</tt>.
3430     *
3431     * @param a the array whose string representation to return
3432     * @return a string representation of <tt>a</tt>
3433     * @since 1.5
3434     */
3435    public static String toString(byte[] a) {
3436        if (a == null)
3437            return "null";
3438        int iMax = a.length - 1;
3439        if (iMax == -1)
3440            return "[]";
3441
3442        StringBuilder b = new StringBuilder();
3443        b.append('[');
3444        for (int i = 0; ; i++) {
3445            b.append(a[i]);
3446            if (i == iMax)
3447                return b.append(']').toString();
3448            b.append(", ");
3449        }
3450    }
3451
3452    /**
3453     * Returns a string representation of the contents of the specified array.
3454     * The string representation consists of a list of the array's elements,
3455     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3456     * separated by the characters <tt>", "</tt> (a comma followed by a
3457     * space).  Elements are converted to strings as by
3458     * <tt>String.valueOf(boolean)</tt>.  Returns <tt>"null"</tt> if
3459     * <tt>a</tt> is <tt>null</tt>.
3460     *
3461     * @param a the array whose string representation to return
3462     * @return a string representation of <tt>a</tt>
3463     * @since 1.5
3464     */
3465    public static String toString(boolean[] a) {
3466        if (a == null)
3467            return "null";
3468        int iMax = a.length - 1;
3469        if (iMax == -1)
3470            return "[]";
3471
3472        StringBuilder b = new StringBuilder();
3473        b.append('[');
3474        for (int i = 0; ; i++) {
3475            b.append(a[i]);
3476            if (i == iMax)
3477                return b.append(']').toString();
3478            b.append(", ");
3479        }
3480    }
3481
3482    /**
3483     * Returns a string representation of the contents of the specified array.
3484     * The string representation consists of a list of the array's elements,
3485     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3486     * separated by the characters <tt>", "</tt> (a comma followed by a
3487     * space).  Elements are converted to strings as by
3488     * <tt>String.valueOf(float)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
3489     * is <tt>null</tt>.
3490     *
3491     * @param a the array whose string representation to return
3492     * @return a string representation of <tt>a</tt>
3493     * @since 1.5
3494     */
3495    public static String toString(float[] a) {
3496        if (a == null)
3497            return "null";
3498
3499        int iMax = a.length - 1;
3500        if (iMax == -1)
3501            return "[]";
3502
3503        StringBuilder b = new StringBuilder();
3504        b.append('[');
3505        for (int i = 0; ; i++) {
3506            b.append(a[i]);
3507            if (i == iMax)
3508                return b.append(']').toString();
3509            b.append(", ");
3510        }
3511    }
3512
3513    /**
3514     * Returns a string representation of the contents of the specified array.
3515     * The string representation consists of a list of the array's elements,
3516     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
3517     * separated by the characters <tt>", "</tt> (a comma followed by a
3518     * space).  Elements are converted to strings as by
3519     * <tt>String.valueOf(double)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
3520     * is <tt>null</tt>.
3521     *
3522     * @param a the array whose string representation to return
3523     * @return a string representation of <tt>a</tt>
3524     * @since 1.5
3525     */
3526    public static String toString(double[] a) {
3527        if (a == null)
3528            return "null";
3529        int iMax = a.length - 1;
3530        if (iMax == -1)
3531            return "[]";
3532
3533        StringBuilder b = new StringBuilder();
3534        b.append('[');
3535        for (int i = 0; ; i++) {
3536            b.append(a[i]);
3537            if (i == iMax)
3538                return b.append(']').toString();
3539            b.append(", ");
3540        }
3541    }
3542
3543    /**
3544     * Returns a string representation of the contents of the specified array.
3545     * If the array contains other arrays as elements, they are converted to
3546     * strings by the {@link Object#toString} method inherited from
3547     * <tt>Object</tt>, which describes their <i>identities</i> rather than
3548     * their contents.
3549     *
3550     * <p>The value returned by this method is equal to the value that would
3551     * be returned by <tt>Arrays.asList(a).toString()</tt>, unless <tt>a</tt>
3552     * is <tt>null</tt>, in which case <tt>"null"</tt> is returned.
3553     *
3554     * @param a the array whose string representation to return
3555     * @return a string representation of <tt>a</tt>
3556     * @see #deepToString(Object[])
3557     * @since 1.5
3558     */
3559    public static String toString(Object[] a) {
3560        if (a == null)
3561            return "null";
3562
3563        int iMax = a.length - 1;
3564        if (iMax == -1)
3565            return "[]";
3566
3567        StringBuilder b = new StringBuilder();
3568        b.append('[');
3569        for (int i = 0; ; i++) {
3570            b.append(String.valueOf(a[i]));
3571            if (i == iMax)
3572                return b.append(']').toString();
3573            b.append(", ");
3574        }
3575    }
3576
3577    /**
3578     * Returns a string representation of the "deep contents" of the specified
3579     * array.  If the array contains other arrays as elements, the string
3580     * representation contains their contents and so on.  This method is
3581     * designed for converting multidimensional arrays to strings.
3582     *
3583     * <p>The string representation consists of a list of the array's
3584     * elements, enclosed in square brackets (<tt>"[]"</tt>).  Adjacent
3585     * elements are separated by the characters <tt>", "</tt> (a comma
3586     * followed by a space).  Elements are converted to strings as by
3587     * <tt>String.valueOf(Object)</tt>, unless they are themselves
3588     * arrays.
3589     *
3590     * <p>If an element <tt>e</tt> is an array of a primitive type, it is
3591     * converted to a string as by invoking the appropriate overloading of
3592     * <tt>Arrays.toString(e)</tt>.  If an element <tt>e</tt> is an array of a
3593     * reference type, it is converted to a string as by invoking
3594     * this method recursively.
3595     *
3596     * <p>To avoid infinite recursion, if the specified array contains itself
3597     * as an element, or contains an indirect reference to itself through one
3598     * or more levels of arrays, the self-reference is converted to the string
3599     * <tt>"[...]"</tt>.  For example, an array containing only a reference
3600     * to itself would be rendered as <tt>"[[...]]"</tt>.
3601     *
3602     * <p>This method returns <tt>"null"</tt> if the specified array
3603     * is <tt>null</tt>.
3604     *
3605     * @param a the array whose string representation to return
3606     * @return a string representation of <tt>a</tt>
3607     * @see #toString(Object[])
3608     * @since 1.5
3609     */
3610    public static String deepToString(Object[] a) {
3611        if (a == null)
3612            return "null";
3613
3614        int bufLen = 20 * a.length;
3615        if (a.length != 0 && bufLen <= 0)
3616            bufLen = Integer.MAX_VALUE;
3617        StringBuilder buf = new StringBuilder(bufLen);
3618        deepToString(a, buf, new HashSet<Object[]>());
3619        return buf.toString();
3620    }
3621
3622    private static void deepToString(Object[] a, StringBuilder buf,
3623                                     Set<Object[]> dejaVu) {
3624        if (a == null) {
3625            buf.append("null");
3626            return;
3627        }
3628        int iMax = a.length - 1;
3629        if (iMax == -1) {
3630            buf.append("[]");
3631            return;
3632        }
3633
3634        dejaVu.add(a);
3635        buf.append('[');
3636        for (int i = 0; ; i++) {
3637
3638            Object element = a[i];
3639            if (element == null) {
3640                buf.append("null");
3641            } else {
3642                Class eClass = element.getClass();
3643
3644                if (eClass.isArray()) {
3645                    if (eClass == byte[].class)
3646                        buf.append(toString((byte[]) element));
3647                    else if (eClass == short[].class)
3648                        buf.append(toString((short[]) element));
3649                    else if (eClass == int[].class)
3650                        buf.append(toString((int[]) element));
3651                    else if (eClass == long[].class)
3652                        buf.append(toString((long[]) element));
3653                    else if (eClass == char[].class)
3654                        buf.append(toString((char[]) element));
3655                    else if (eClass == float[].class)
3656                        buf.append(toString((float[]) element));
3657                    else if (eClass == double[].class)
3658                        buf.append(toString((double[]) element));
3659                    else if (eClass == boolean[].class)
3660                        buf.append(toString((boolean[]) element));
3661                    else { // element is an array of object references
3662                        if (dejaVu.contains(element))
3663                            buf.append("[...]");
3664                        else
3665                            deepToString((Object[])element, buf, dejaVu);
3666                    }
3667                } else {  // element is non-null and not an array
3668                    buf.append(element.toString());
3669                }
3670            }
3671            if (i == iMax)
3672                break;
3673            buf.append(", ");
3674        }
3675        buf.append(']');
3676        dejaVu.remove(a);
3677    }
3678
3679    /**
3680     * Checks that the range described by {@code offset} and {@code count} doesn't exceed
3681     * {@code arrayLength}.
3682     *
3683     * Android changed.
3684     * @hide
3685     */
3686    public static void checkOffsetAndCount(int arrayLength, int offset, int count) {
3687        if ((offset | count) < 0 || offset > arrayLength || arrayLength - offset < count) {
3688            throw new ArrayIndexOutOfBoundsException(arrayLength, offset,
3689                    count);
3690        }
3691    }
3692}
3693