jdk/src/share/classes/java/util/Arrays.java
changeset 2 90ce3da70b43
child 51 6fe31bc95bbc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/jdk/src/share/classes/java/util/Arrays.java	Sat Dec 01 00:00:00 2007 +0000
@@ -0,0 +1,4191 @@
+/*
+ * Copyright 1997-2007 Sun Microsystems, Inc.  All Rights Reserved.
+ * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
+ *
+ * This code is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 only, as
+ * published by the Free Software Foundation.  Sun designates this
+ * particular file as subject to the "Classpath" exception as provided
+ * by Sun in the LICENSE file that accompanied this code.
+ *
+ * This code is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+ * version 2 for more details (a copy is included in the LICENSE file that
+ * accompanied this code).
+ *
+ * You should have received a copy of the GNU General Public License version
+ * 2 along with this work; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
+ *
+ * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
+ * CA 95054 USA or visit www.sun.com if you need additional information or
+ * have any questions.
+ */
+
+package java.util;
+
+import java.lang.reflect.*;
+
+/**
+ * This class contains various methods for manipulating arrays (such as
+ * sorting and searching).  This class also contains a static factory
+ * that allows arrays to be viewed as lists.
+ *
+ * <p>The methods in this class all throw a <tt>NullPointerException</tt> if
+ * the specified array reference is null, except where noted.
+ *
+ * <p>The documentation for the methods contained in this class includes
+ * briefs description of the <i>implementations</i>.  Such descriptions should
+ * be regarded as <i>implementation notes</i>, rather than parts of the
+ * <i>specification</i>.  Implementors should feel free to substitute other
+ * algorithms, so long as the specification itself is adhered to.  (For
+ * example, the algorithm used by <tt>sort(Object[])</tt> does not have to be
+ * a mergesort, but it does have to be <i>stable</i>.)
+ *
+ * <p>This class is a member of the
+ * <a href="{@docRoot}/../technotes/guides/collections/index.html">
+ * Java Collections Framework</a>.
+ *
+ * @author  Josh Bloch
+ * @author  Neal Gafter
+ * @author  John Rose
+ * @since   1.2
+ */
+
+public class Arrays {
+    // Suppresses default constructor, ensuring non-instantiability.
+    private Arrays() {
+    }
+
+    // Sorting
+
+    /**
+     * Sorts the specified array of longs into ascending numerical order.
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(long[] a) {
+        sort1(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of longs into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
+     *
+     * <p>The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     * <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(long[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort1(a, fromIndex, toIndex-fromIndex);
+    }
+
+    /**
+     * Sorts the specified array of ints into ascending numerical order.
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(int[] a) {
+        sort1(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of ints into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
+     *
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(int[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort1(a, fromIndex, toIndex-fromIndex);
+    }
+
+    /**
+     * Sorts the specified array of shorts into ascending numerical order.
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(short[] a) {
+        sort1(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of shorts into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
+     *
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(short[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort1(a, fromIndex, toIndex-fromIndex);
+    }
+
+    /**
+     * Sorts the specified array of chars into ascending numerical order.
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(char[] a) {
+        sort1(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of chars into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
+     *
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(char[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort1(a, fromIndex, toIndex-fromIndex);
+    }
+
+    /**
+     * Sorts the specified array of bytes into ascending numerical order.
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(byte[] a) {
+        sort1(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of bytes into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
+     *
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(byte[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort1(a, fromIndex, toIndex-fromIndex);
+    }
+
+    /**
+     * Sorts the specified array of doubles into ascending numerical order.
+     * <p>
+     * The <code>&lt;</code> relation does not provide a total order on
+     * all floating-point values; although they are distinct numbers
+     * <code>-0.0 == 0.0</code> is <code>true</code> and a NaN value
+     * compares neither less than, greater than, nor equal to any
+     * floating-point value, even itself.  To allow the sort to
+     * proceed, instead of using the <code>&lt;</code> relation to
+     * determine ascending numerical order, this method uses the total
+     * order imposed by {@link Double#compareTo}.  This ordering
+     * differs from the <code>&lt;</code> relation in that
+     * <code>-0.0</code> is treated as less than <code>0.0</code> and
+     * NaN is considered greater than any other floating-point value.
+     * For the purposes of sorting, all NaN values are considered
+     * equivalent and equal.
+     * <p>
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(double[] a) {
+        sort2(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of doubles into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
+     * <p>
+     * The <code>&lt;</code> relation does not provide a total order on
+     * all floating-point values; although they are distinct numbers
+     * <code>-0.0 == 0.0</code> is <code>true</code> and a NaN value
+     * compares neither less than, greater than, nor equal to any
+     * floating-point value, even itself.  To allow the sort to
+     * proceed, instead of using the <code>&lt;</code> relation to
+     * determine ascending numerical order, this method uses the total
+     * order imposed by {@link Double#compareTo}.  This ordering
+     * differs from the <code>&lt;</code> relation in that
+     * <code>-0.0</code> is treated as less than <code>0.0</code> and
+     * NaN is considered greater than any other floating-point value.
+     * For the purposes of sorting, all NaN values are considered
+     * equivalent and equal.
+     * <p>
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(double[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort2(a, fromIndex, toIndex);
+    }
+
+    /**
+     * Sorts the specified array of floats into ascending numerical order.
+     * <p>
+     * The <code>&lt;</code> relation does not provide a total order on
+     * all floating-point values; although they are distinct numbers
+     * <code>-0.0f == 0.0f</code> is <code>true</code> and a NaN value
+     * compares neither less than, greater than, nor equal to any
+     * floating-point value, even itself.  To allow the sort to
+     * proceed, instead of using the <code>&lt;</code> relation to
+     * determine ascending numerical order, this method uses the total
+     * order imposed by {@link Float#compareTo}.  This ordering
+     * differs from the <code>&lt;</code> relation in that
+     * <code>-0.0f</code> is treated as less than <code>0.0f</code> and
+     * NaN is considered greater than any other floating-point value.
+     * For the purposes of sorting, all NaN values are considered
+     * equivalent and equal.
+     * <p>
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     */
+    public static void sort(float[] a) {
+        sort2(a, 0, a.length);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of floats into
+     * ascending numerical order.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
+     * <p>
+     * The <code>&lt;</code> relation does not provide a total order on
+     * all floating-point values; although they are distinct numbers
+     * <code>-0.0f == 0.0f</code> is <code>true</code> and a NaN value
+     * compares neither less than, greater than, nor equal to any
+     * floating-point value, even itself.  To allow the sort to
+     * proceed, instead of using the <code>&lt;</code> relation to
+     * determine ascending numerical order, this method uses the total
+     * order imposed by {@link Float#compareTo}.  This ordering
+     * differs from the <code>&lt;</code> relation in that
+     * <code>-0.0f</code> is treated as less than <code>0.0f</code> and
+     * NaN is considered greater than any other floating-point value.
+     * For the purposes of sorting, all NaN values are considered
+     * equivalent and equal.
+     * <p>
+     * The sorting algorithm is a tuned quicksort, adapted from Jon
+     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
+     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
+     * 1993).  This algorithm offers n*log(n) performance on many data sets
+     * that cause other quicksorts to degrade to quadratic performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void sort(float[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        sort2(a, fromIndex, toIndex);
+    }
+
+    private static void sort2(double a[], int fromIndex, int toIndex) {
+        final long NEG_ZERO_BITS = Double.doubleToLongBits(-0.0d);
+        /*
+         * The sort is done in three phases to avoid the expense of using
+         * NaN and -0.0 aware comparisons during the main sort.
+         */
+
+        /*
+         * Preprocessing phase:  Move any NaN's to end of array, count the
+         * number of -0.0's, and turn them into 0.0's.
+         */
+        int numNegZeros = 0;
+        int i = fromIndex, n = toIndex;
+        while(i < n) {
+            if (a[i] != a[i]) {
+                swap(a, i, --n);
+            } else {
+                if (a[i]==0 && Double.doubleToLongBits(a[i])==NEG_ZERO_BITS) {
+                    a[i] = 0.0d;
+                    numNegZeros++;
+                }
+                i++;
+            }
+        }
+
+        // Main sort phase: quicksort everything but the NaN's
+        sort1(a, fromIndex, n-fromIndex);
+
+        // Postprocessing phase: change 0.0's to -0.0's as required
+        if (numNegZeros != 0) {
+            int j = binarySearch0(a, fromIndex, n, 0.0d); // posn of ANY zero
+            do {
+                j--;
+            } while (j>=fromIndex && a[j]==0.0d);
+
+            // j is now one less than the index of the FIRST zero
+            for (int k=0; k<numNegZeros; k++)
+                a[++j] = -0.0d;
+        }
+    }
+
+
+    private static void sort2(float a[], int fromIndex, int toIndex) {
+        final int NEG_ZERO_BITS = Float.floatToIntBits(-0.0f);
+        /*
+         * The sort is done in three phases to avoid the expense of using
+         * NaN and -0.0 aware comparisons during the main sort.
+         */
+
+        /*
+         * Preprocessing phase:  Move any NaN's to end of array, count the
+         * number of -0.0's, and turn them into 0.0's.
+         */
+        int numNegZeros = 0;
+        int i = fromIndex, n = toIndex;
+        while(i < n) {
+            if (a[i] != a[i]) {
+                swap(a, i, --n);
+            } else {
+                if (a[i]==0 && Float.floatToIntBits(a[i])==NEG_ZERO_BITS) {
+                    a[i] = 0.0f;
+                    numNegZeros++;
+                }
+                i++;
+            }
+        }
+
+        // Main sort phase: quicksort everything but the NaN's
+        sort1(a, fromIndex, n-fromIndex);
+
+        // Postprocessing phase: change 0.0's to -0.0's as required
+        if (numNegZeros != 0) {
+            int j = binarySearch0(a, fromIndex, n, 0.0f); // posn of ANY zero
+            do {
+                j--;
+            } while (j>=fromIndex && a[j]==0.0f);
+
+            // j is now one less than the index of the FIRST zero
+            for (int k=0; k<numNegZeros; k++)
+                a[++j] = -0.0f;
+        }
+    }
+
+
+    /*
+     * The code for each of the seven primitive types is largely identical.
+     * C'est la vie.
+     */
+
+    /**
+     * Sorts the specified sub-array of longs into ascending order.
+     */
+    private static void sort1(long x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        long v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(long x[], int a, int b) {
+        long t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(long x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed longs.
+     */
+    private static int med3(long x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+    /**
+     * Sorts the specified sub-array of integers into ascending order.
+     */
+    private static void sort1(int x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        int v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(int x[], int a, int b) {
+        int t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(int x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed integers.
+     */
+    private static int med3(int x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+    /**
+     * Sorts the specified sub-array of shorts into ascending order.
+     */
+    private static void sort1(short x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        short v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(short x[], int a, int b) {
+        short t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(short x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed shorts.
+     */
+    private static int med3(short x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+
+    /**
+     * Sorts the specified sub-array of chars into ascending order.
+     */
+    private static void sort1(char x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        char v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(char x[], int a, int b) {
+        char t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(char x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed chars.
+     */
+    private static int med3(char x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+
+    /**
+     * Sorts the specified sub-array of bytes into ascending order.
+     */
+    private static void sort1(byte x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        byte v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(byte x[], int a, int b) {
+        byte t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(byte x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed bytes.
+     */
+    private static int med3(byte x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+
+    /**
+     * Sorts the specified sub-array of doubles into ascending order.
+     */
+    private static void sort1(double x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        double v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(double x[], int a, int b) {
+        double t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(double x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed doubles.
+     */
+    private static int med3(double x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+
+    /**
+     * Sorts the specified sub-array of floats into ascending order.
+     */
+    private static void sort1(float x[], int off, int len) {
+        // Insertion sort on smallest arrays
+        if (len < 7) {
+            for (int i=off; i<len+off; i++)
+                for (int j=i; j>off && x[j-1]>x[j]; j--)
+                    swap(x, j, j-1);
+            return;
+        }
+
+        // Choose a partition element, v
+        int m = off + (len >> 1);       // Small arrays, middle element
+        if (len > 7) {
+            int l = off;
+            int n = off + len - 1;
+            if (len > 40) {        // Big arrays, pseudomedian of 9
+                int s = len/8;
+                l = med3(x, l,     l+s, l+2*s);
+                m = med3(x, m-s,   m,   m+s);
+                n = med3(x, n-2*s, n-s, n);
+            }
+            m = med3(x, l, m, n); // Mid-size, med of 3
+        }
+        float v = x[m];
+
+        // Establish Invariant: v* (<v)* (>v)* v*
+        int a = off, b = a, c = off + len - 1, d = c;
+        while(true) {
+            while (b <= c && x[b] <= v) {
+                if (x[b] == v)
+                    swap(x, a++, b);
+                b++;
+            }
+            while (c >= b && x[c] >= v) {
+                if (x[c] == v)
+                    swap(x, c, d--);
+                c--;
+            }
+            if (b > c)
+                break;
+            swap(x, b++, c--);
+        }
+
+        // Swap partition elements back to middle
+        int s, n = off + len;
+        s = Math.min(a-off, b-a  );  vecswap(x, off, b-s, s);
+        s = Math.min(d-c,   n-d-1);  vecswap(x, b,   n-s, s);
+
+        // Recursively sort non-partition-elements
+        if ((s = b-a) > 1)
+            sort1(x, off, s);
+        if ((s = d-c) > 1)
+            sort1(x, n-s, s);
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(float x[], int a, int b) {
+        float t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
+     */
+    private static void vecswap(float x[], int a, int b, int n) {
+        for (int i=0; i<n; i++, a++, b++)
+            swap(x, a, b);
+    }
+
+    /**
+     * Returns the index of the median of the three indexed floats.
+     */
+    private static int med3(float x[], int a, int b, int c) {
+        return (x[a] < x[b] ?
+                (x[b] < x[c] ? b : x[a] < x[c] ? c : a) :
+                (x[b] > x[c] ? b : x[a] > x[c] ? c : a));
+    }
+
+
+    /**
+     * Sorts the specified array of objects into ascending order, according to
+     * the {@linkplain Comparable natural ordering}
+     * of its elements.  All elements in the array
+     * must implement the {@link Comparable} interface.  Furthermore, all
+     * elements in the array must be <i>mutually comparable</i> (that is,
+     * <tt>e1.compareTo(e2)</tt> must not throw a <tt>ClassCastException</tt>
+     * for any elements <tt>e1</tt> and <tt>e2</tt> in the array).<p>
+     *
+     * This sort is guaranteed to be <i>stable</i>:  equal elements will
+     * not be reordered as a result of the sort.<p>
+     *
+     * The sorting algorithm is a modified mergesort (in which the merge is
+     * omitted if the highest element in the low sublist is less than the
+     * lowest element in the high sublist).  This algorithm offers guaranteed
+     * n*log(n) performance.
+     *
+     * @param a the array to be sorted
+     * @throws  ClassCastException if the array contains elements that are not
+     *          <i>mutually comparable</i> (for example, strings and integers).
+     */
+    public static void sort(Object[] a) {
+        Object[] aux = (Object[])a.clone();
+        mergeSort(aux, a, 0, a.length, 0);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of objects into
+     * ascending order, according to the
+     * {@linkplain Comparable natural ordering} of its
+     * elements.  The range to be sorted extends from index
+     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
+     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)  All
+     * elements in this range must implement the {@link Comparable}
+     * interface.  Furthermore, all elements in this range must be <i>mutually
+     * comparable</i> (that is, <tt>e1.compareTo(e2)</tt> must not throw a
+     * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
+     * <tt>e2</tt> in the array).<p>
+     *
+     * This sort is guaranteed to be <i>stable</i>:  equal elements will
+     * not be reordered as a result of the sort.<p>
+     *
+     * The sorting algorithm is a modified mergesort (in which the merge is
+     * omitted if the highest element in the low sublist is less than the
+     * lowest element in the high sublist).  This algorithm offers guaranteed
+     * n*log(n) performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     * @throws    ClassCastException if the array contains elements that are
+     *            not <i>mutually comparable</i> (for example, strings and
+     *            integers).
+     */
+    public static void sort(Object[] a, int fromIndex, int toIndex) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        Object[] aux = copyOfRange(a, fromIndex, toIndex);
+        mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
+    }
+
+    /**
+     * Tuning parameter: list size at or below which insertion sort will be
+     * used in preference to mergesort or quicksort.
+     */
+    private static final int INSERTIONSORT_THRESHOLD = 7;
+
+    /**
+     * Src is the source array that starts at index 0
+     * Dest is the (possibly larger) array destination with a possible offset
+     * low is the index in dest to start sorting
+     * high is the end index in dest to end sorting
+     * off is the offset to generate corresponding low, high in src
+     */
+    private static void mergeSort(Object[] src,
+                                  Object[] dest,
+                                  int low,
+                                  int high,
+                                  int off) {
+        int length = high - low;
+
+        // Insertion sort on smallest arrays
+        if (length < INSERTIONSORT_THRESHOLD) {
+            for (int i=low; i<high; i++)
+                for (int j=i; j>low &&
+                         ((Comparable) dest[j-1]).compareTo(dest[j])>0; j--)
+                    swap(dest, j, j-1);
+            return;
+        }
+
+        // Recursively sort halves of dest into src
+        int destLow  = low;
+        int destHigh = high;
+        low  += off;
+        high += off;
+        int mid = (low + high) >>> 1;
+        mergeSort(dest, src, low, mid, -off);
+        mergeSort(dest, src, mid, high, -off);
+
+        // If list is already sorted, just copy from src to dest.  This is an
+        // optimization that results in faster sorts for nearly ordered lists.
+        if (((Comparable)src[mid-1]).compareTo(src[mid]) <= 0) {
+            System.arraycopy(src, low, dest, destLow, length);
+            return;
+        }
+
+        // Merge sorted halves (now in src) into dest
+        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
+            if (q >= high || p < mid && ((Comparable)src[p]).compareTo(src[q])<=0)
+                dest[i] = src[p++];
+            else
+                dest[i] = src[q++];
+        }
+    }
+
+    /**
+     * Swaps x[a] with x[b].
+     */
+    private static void swap(Object[] x, int a, int b) {
+        Object t = x[a];
+        x[a] = x[b];
+        x[b] = t;
+    }
+
+    /**
+     * Sorts the specified array of objects according to the order induced by
+     * the specified comparator.  All elements in the array must be
+     * <i>mutually comparable</i> by the specified comparator (that is,
+     * <tt>c.compare(e1, e2)</tt> must not throw a <tt>ClassCastException</tt>
+     * for any elements <tt>e1</tt> and <tt>e2</tt> in the array).<p>
+     *
+     * This sort is guaranteed to be <i>stable</i>:  equal elements will
+     * not be reordered as a result of the sort.<p>
+     *
+     * The sorting algorithm is a modified mergesort (in which the merge is
+     * omitted if the highest element in the low sublist is less than the
+     * lowest element in the high sublist).  This algorithm offers guaranteed
+     * n*log(n) performance.
+     *
+     * @param a the array to be sorted
+     * @param c the comparator to determine the order of the array.  A
+     *        <tt>null</tt> value indicates that the elements'
+     *        {@linkplain Comparable natural ordering} should be used.
+     * @throws  ClassCastException if the array contains elements that are
+     *          not <i>mutually comparable</i> using the specified comparator.
+     */
+    public static <T> void sort(T[] a, Comparator<? super T> c) {
+        T[] aux = (T[])a.clone();
+        if (c==null)
+            mergeSort(aux, a, 0, a.length, 0);
+        else
+            mergeSort(aux, a, 0, a.length, 0, c);
+    }
+
+    /**
+     * Sorts the specified range of the specified array of objects according
+     * to the order induced by the specified comparator.  The range to be
+     * sorted extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be sorted is empty.)  All elements in the range must be
+     * <i>mutually comparable</i> by the specified comparator (that is,
+     * <tt>c.compare(e1, e2)</tt> must not throw a <tt>ClassCastException</tt>
+     * for any elements <tt>e1</tt> and <tt>e2</tt> in the range).<p>
+     *
+     * This sort is guaranteed to be <i>stable</i>:  equal elements will
+     * not be reordered as a result of the sort.<p>
+     *
+     * The sorting algorithm is a modified mergesort (in which the merge is
+     * omitted if the highest element in the low sublist is less than the
+     * lowest element in the high sublist).  This algorithm offers guaranteed
+     * n*log(n) performance.
+     *
+     * @param a the array to be sorted
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        sorted
+     * @param toIndex the index of the last element (exclusive) to be sorted
+     * @param c the comparator to determine the order of the array.  A
+     *        <tt>null</tt> value indicates that the elements'
+     *        {@linkplain Comparable natural ordering} should be used.
+     * @throws ClassCastException if the array contains elements that are not
+     *         <i>mutually comparable</i> using the specified comparator.
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static <T> void sort(T[] a, int fromIndex, int toIndex,
+                                Comparator<? super T> c) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        T[] aux = (T[])copyOfRange(a, fromIndex, toIndex);
+        if (c==null)
+            mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
+        else
+            mergeSort(aux, a, fromIndex, toIndex, -fromIndex, c);
+    }
+
+    /**
+     * Src is the source array that starts at index 0
+     * Dest is the (possibly larger) array destination with a possible offset
+     * low is the index in dest to start sorting
+     * high is the end index in dest to end sorting
+     * off is the offset into src corresponding to low in dest
+     */
+    private static void mergeSort(Object[] src,
+                                  Object[] dest,
+                                  int low, int high, int off,
+                                  Comparator c) {
+        int length = high - low;
+
+        // Insertion sort on smallest arrays
+        if (length < INSERTIONSORT_THRESHOLD) {
+            for (int i=low; i<high; i++)
+                for (int j=i; j>low && c.compare(dest[j-1], dest[j])>0; j--)
+                    swap(dest, j, j-1);
+            return;
+        }
+
+        // Recursively sort halves of dest into src
+        int destLow  = low;
+        int destHigh = high;
+        low  += off;
+        high += off;
+        int mid = (low + high) >>> 1;
+        mergeSort(dest, src, low, mid, -off, c);
+        mergeSort(dest, src, mid, high, -off, c);
+
+        // If list is already sorted, just copy from src to dest.  This is an
+        // optimization that results in faster sorts for nearly ordered lists.
+        if (c.compare(src[mid-1], src[mid]) <= 0) {
+           System.arraycopy(src, low, dest, destLow, length);
+           return;
+        }
+
+        // Merge sorted halves (now in src) into dest
+        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
+            if (q >= high || p < mid && c.compare(src[p], src[q]) <= 0)
+                dest[i] = src[p++];
+            else
+                dest[i] = src[q++];
+        }
+    }
+
+    /**
+     * Check that fromIndex and toIndex are in range, and throw an
+     * appropriate exception if they aren't.
+     */
+    private static void rangeCheck(int arrayLen, int fromIndex, int toIndex) {
+        if (fromIndex > toIndex)
+            throw new IllegalArgumentException("fromIndex(" + fromIndex +
+                       ") > toIndex(" + toIndex+")");
+        if (fromIndex < 0)
+            throw new ArrayIndexOutOfBoundsException(fromIndex);
+        if (toIndex > arrayLen)
+            throw new ArrayIndexOutOfBoundsException(toIndex);
+    }
+
+    // Searching
+
+    /**
+     * Searches the specified array of longs for the specified value using the
+     * binary search algorithm.  The array must be sorted (as
+     * by the {@link #sort(long[])} method) prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(long[] a, long key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of longs for the specified value using the
+     * binary search algorithm.
+     * The range must be sorted (as
+     * by the {@link #sort(long[], int, int)} method)
+     * prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(long[] a, int fromIndex, int toIndex,
+                                   long key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(long[] a, int fromIndex, int toIndex,
+                                     long key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            long midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;
+            else if (midVal > key)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of ints for the specified value using the
+     * binary search algorithm.  The array must be sorted (as
+     * by the {@link #sort(int[])} method) prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(int[] a, int key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of ints for the specified value using the
+     * binary search algorithm.
+     * The range must be sorted (as
+     * by the {@link #sort(int[], int, int)} method)
+     * prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(int[] a, int fromIndex, int toIndex,
+                                   int key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(int[] a, int fromIndex, int toIndex,
+                                     int key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            int midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;
+            else if (midVal > key)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of shorts for the specified value using
+     * the binary search algorithm.  The array must be sorted
+     * (as by the {@link #sort(short[])} method) prior to making this call.  If
+     * it is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(short[] a, short key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of shorts for the specified value using
+     * the binary search algorithm.
+     * The range must be sorted
+     * (as by the {@link #sort(short[], int, int)} method)
+     * prior to making this call.  If
+     * it is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(short[] a, int fromIndex, int toIndex,
+                                   short key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(short[] a, int fromIndex, int toIndex,
+                                     short key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            short midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;
+            else if (midVal > key)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of chars for the specified value using the
+     * binary search algorithm.  The array must be sorted (as
+     * by the {@link #sort(char[])} method) prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(char[] a, char key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of chars for the specified value using the
+     * binary search algorithm.
+     * The range must be sorted (as
+     * by the {@link #sort(char[], int, int)} method)
+     * prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(char[] a, int fromIndex, int toIndex,
+                                   char key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(char[] a, int fromIndex, int toIndex,
+                                     char key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            char midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;
+            else if (midVal > key)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of bytes for the specified value using the
+     * binary search algorithm.  The array must be sorted (as
+     * by the {@link #sort(byte[])} method) prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(byte[] a, byte key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of bytes for the specified value using the
+     * binary search algorithm.
+     * The range must be sorted (as
+     * by the {@link #sort(byte[], int, int)} method)
+     * prior to making this call.  If it
+     * is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(byte[] a, int fromIndex, int toIndex,
+                                   byte key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(byte[] a, int fromIndex, int toIndex,
+                                     byte key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            byte midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;
+            else if (midVal > key)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of doubles for the specified value using
+     * the binary search algorithm.  The array must be sorted
+     * (as by the {@link #sort(double[])} method) prior to making this call.
+     * If it is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.  This method considers all NaN values to be
+     * equivalent and equal.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(double[] a, double key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of doubles for the specified value using
+     * the binary search algorithm.
+     * The range must be sorted
+     * (as by the {@link #sort(double[], int, int)} method)
+     * prior to making this call.
+     * If it is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.  This method considers all NaN values to be
+     * equivalent and equal.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(double[] a, int fromIndex, int toIndex,
+                                   double key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(double[] a, int fromIndex, int toIndex,
+                                     double key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            double midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;  // Neither val is NaN, thisVal is smaller
+            else if (midVal > key)
+                high = mid - 1; // Neither val is NaN, thisVal is larger
+            else {
+                long midBits = Double.doubleToLongBits(midVal);
+                long keyBits = Double.doubleToLongBits(key);
+                if (midBits == keyBits)     // Values are equal
+                    return mid;             // Key found
+                else if (midBits < keyBits) // (-0.0, 0.0) or (!NaN, NaN)
+                    low = mid + 1;
+                else                        // (0.0, -0.0) or (NaN, !NaN)
+                    high = mid - 1;
+            }
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array of floats for the specified value using
+     * the binary search algorithm.  The array must be sorted
+     * (as by the {@link #sort(float[])} method) prior to making this call.  If
+     * it is not sorted, the results are undefined.  If the array contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.  This method considers all NaN values to be
+     * equivalent and equal.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     */
+    public static int binarySearch(float[] a, float key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array of floats for the specified value using
+     * the binary search algorithm.
+     * The range must be sorted
+     * (as by the {@link #sort(float[], int, int)} method)
+     * prior to making this call.  If
+     * it is not sorted, the results are undefined.  If the range contains
+     * multiple elements with the specified value, there is no guarantee which
+     * one will be found.  This method considers all NaN values to be
+     * equivalent and equal.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(float[] a, int fromIndex, int toIndex,
+                                   float key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(float[] a, int fromIndex, int toIndex,
+                                     float key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            float midVal = a[mid];
+
+            if (midVal < key)
+                low = mid + 1;  // Neither val is NaN, thisVal is smaller
+            else if (midVal > key)
+                high = mid - 1; // Neither val is NaN, thisVal is larger
+            else {
+                int midBits = Float.floatToIntBits(midVal);
+                int keyBits = Float.floatToIntBits(key);
+                if (midBits == keyBits)     // Values are equal
+                    return mid;             // Key found
+                else if (midBits < keyBits) // (-0.0, 0.0) or (!NaN, NaN)
+                    low = mid + 1;
+                else                        // (0.0, -0.0) or (NaN, !NaN)
+                    high = mid - 1;
+            }
+        }
+        return -(low + 1);  // key not found.
+    }
+
+
+    /**
+     * Searches the specified array for the specified object using the binary
+     * search algorithm.  The array must be sorted into ascending order
+     * according to the
+     * {@linkplain Comparable natural ordering}
+     * of its elements (as by the
+     * {@link #sort(Object[])} method) prior to making this call.
+     * If it is not sorted, the results are undefined.
+     * (If the array contains elements that are not mutually comparable (for
+     * example, strings and integers), it <i>cannot</i> be sorted according
+     * to the natural ordering of its elements, hence results are undefined.)
+     * If the array contains multiple
+     * elements equal to the specified object, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws ClassCastException if the search key is not comparable to the
+     *         elements of the array.
+     */
+    public static int binarySearch(Object[] a, Object key) {
+        return binarySearch0(a, 0, a.length, key);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array for the specified object using the binary
+     * search algorithm.
+     * The range must be sorted into ascending order
+     * according to the
+     * {@linkplain Comparable natural ordering}
+     * of its elements (as by the
+     * {@link #sort(Object[], int, int)} method) prior to making this
+     * call.  If it is not sorted, the results are undefined.
+     * (If the range contains elements that are not mutually comparable (for
+     * example, strings and integers), it <i>cannot</i> be sorted according
+     * to the natural ordering of its elements, hence results are undefined.)
+     * If the range contains multiple
+     * elements equal to the specified object, there is no guarantee which
+     * one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws ClassCastException if the search key is not comparable to the
+     *         elements of the array within the specified range.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static int binarySearch(Object[] a, int fromIndex, int toIndex,
+                                   Object key) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key);
+    }
+
+    // Like public version, but without range checks.
+    private static int binarySearch0(Object[] a, int fromIndex, int toIndex,
+                                     Object key) {
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            Comparable midVal = (Comparable)a[mid];
+            int cmp = midVal.compareTo(key);
+
+            if (cmp < 0)
+                low = mid + 1;
+            else if (cmp > 0)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+    /**
+     * Searches the specified array for the specified object using the binary
+     * search algorithm.  The array must be sorted into ascending order
+     * according to the specified comparator (as by the
+     * {@link #sort(Object[], Comparator) sort(T[], Comparator)}
+     * method) prior to making this call.  If it is
+     * not sorted, the results are undefined.
+     * If the array contains multiple
+     * elements equal to the specified object, there is no guarantee which one
+     * will be found.
+     *
+     * @param a the array to be searched
+     * @param key the value to be searched for
+     * @param c the comparator by which the array is ordered.  A
+     *        <tt>null</tt> value indicates that the elements'
+     *        {@linkplain Comparable natural ordering} should be used.
+     * @return index of the search key, if it is contained in the array;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element greater than the key, or <tt>a.length</tt> if all
+     *         elements in the array are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws ClassCastException if the array contains elements that are not
+     *         <i>mutually comparable</i> using the specified comparator,
+     *         or the search key is not comparable to the
+     *         elements of the array using this comparator.
+     */
+    public static <T> int binarySearch(T[] a, T key, Comparator<? super T> c) {
+        return binarySearch0(a, 0, a.length, key, c);
+    }
+
+    /**
+     * Searches a range of
+     * the specified array for the specified object using the binary
+     * search algorithm.
+     * The range must be sorted into ascending order
+     * according to the specified comparator (as by the
+     * {@link #sort(Object[], int, int, Comparator)
+     * sort(T[], int, int, Comparator)}
+     * method) prior to making this call.
+     * If it is not sorted, the results are undefined.
+     * If the range contains multiple elements equal to the specified object,
+     * there is no guarantee which one will be found.
+     *
+     * @param a the array to be searched
+     * @param fromIndex the index of the first element (inclusive) to be
+     *          searched
+     * @param toIndex the index of the last element (exclusive) to be searched
+     * @param key the value to be searched for
+     * @param c the comparator by which the array is ordered.  A
+     *        <tt>null</tt> value indicates that the elements'
+     *        {@linkplain Comparable natural ordering} should be used.
+     * @return index of the search key, if it is contained in the array
+     *         within the specified range;
+     *         otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
+     *         <i>insertion point</i> is defined as the point at which the
+     *         key would be inserted into the array: the index of the first
+     *         element in the range greater than the key,
+     *         or <tt>toIndex</tt> if all
+     *         elements in the range are less than the specified key.  Note
+     *         that this guarantees that the return value will be &gt;= 0 if
+     *         and only if the key is found.
+     * @throws ClassCastException if the range contains elements that are not
+     *         <i>mutually comparable</i> using the specified comparator,
+     *         or the search key is not comparable to the
+     *         elements in the range using this comparator.
+     * @throws IllegalArgumentException
+     *         if {@code fromIndex > toIndex}
+     * @throws ArrayIndexOutOfBoundsException
+     *         if {@code fromIndex < 0 or toIndex > a.length}
+     * @since 1.6
+     */
+    public static <T> int binarySearch(T[] a, int fromIndex, int toIndex,
+                                       T key, Comparator<? super T> c) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        return binarySearch0(a, fromIndex, toIndex, key, c);
+    }
+
+    // Like public version, but without range checks.
+    private static <T> int binarySearch0(T[] a, int fromIndex, int toIndex,
+                                         T key, Comparator<? super T> c) {
+        if (c == null) {
+            return binarySearch0(a, fromIndex, toIndex, key);
+        }
+        int low = fromIndex;
+        int high = toIndex - 1;
+
+        while (low <= high) {
+            int mid = (low + high) >>> 1;
+            T midVal = a[mid];
+            int cmp = c.compare(midVal, key);
+
+            if (cmp < 0)
+                low = mid + 1;
+            else if (cmp > 0)
+                high = mid - 1;
+            else
+                return mid; // key found
+        }
+        return -(low + 1);  // key not found.
+    }
+
+
+    // Equality Testing
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of longs are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(long[] a, long[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of ints are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(int[] a, int[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of shorts are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(short[] a, short a2[]) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of chars are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(char[] a, char[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of bytes are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(byte[] a, byte[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of booleans are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(boolean[] a, boolean[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (a[i] != a2[i])
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of doubles are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * Two doubles <tt>d1</tt> and <tt>d2</tt> are considered equal if:
+     * <pre>    <tt>new Double(d1).equals(new Double(d2))</tt></pre>
+     * (Unlike the <tt>==</tt> operator, this method considers
+     * <tt>NaN</tt> equals to itself, and 0.0d unequal to -0.0d.)
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     * @see Double#equals(Object)
+     */
+    public static boolean equals(double[] a, double[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (Double.doubleToLongBits(a[i])!=Double.doubleToLongBits(a2[i]))
+                return false;
+
+        return true;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of floats are
+     * <i>equal</i> to one another.  Two arrays are considered equal if both
+     * arrays contain the same number of elements, and all corresponding pairs
+     * of elements in the two arrays are equal.  In other words, two arrays
+     * are equal if they contain the same elements in the same order.  Also,
+     * two array references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * Two floats <tt>f1</tt> and <tt>f2</tt> are considered equal if:
+     * <pre>    <tt>new Float(f1).equals(new Float(f2))</tt></pre>
+     * (Unlike the <tt>==</tt> operator, this method considers
+     * <tt>NaN</tt> equals to itself, and 0.0f unequal to -0.0f.)
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     * @see Float#equals(Object)
+     */
+    public static boolean equals(float[] a, float[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++)
+            if (Float.floatToIntBits(a[i])!=Float.floatToIntBits(a2[i]))
+                return false;
+
+        return true;
+    }
+
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays of Objects are
+     * <i>equal</i> to one another.  The two arrays are considered equal if
+     * both arrays contain the same number of elements, and all corresponding
+     * pairs of elements in the two arrays are equal.  Two objects <tt>e1</tt>
+     * and <tt>e2</tt> are considered <i>equal</i> if <tt>(e1==null ? e2==null
+     * : e1.equals(e2))</tt>.  In other words, the two arrays are equal if
+     * they contain the same elements in the same order.  Also, two array
+     * references are considered equal if both are <tt>null</tt>.<p>
+     *
+     * @param a one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     */
+    public static boolean equals(Object[] a, Object[] a2) {
+        if (a==a2)
+            return true;
+        if (a==null || a2==null)
+            return false;
+
+        int length = a.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i=0; i<length; i++) {
+            Object o1 = a[i];
+            Object o2 = a2[i];
+            if (!(o1==null ? o2==null : o1.equals(o2)))
+                return false;
+        }
+
+        return true;
+    }
+
+
+    // Filling
+
+    /**
+     * Assigns the specified long value to each element of the specified array
+     * of longs.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(long[] a, long val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified long value to each element of the specified
+     * range of the specified array of longs.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(long[] a, int fromIndex, int toIndex, long val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified int value to each element of the specified array
+     * of ints.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(int[] a, int val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified int value to each element of the specified
+     * range of the specified array of ints.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(int[] a, int fromIndex, int toIndex, int val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified short value to each element of the specified array
+     * of shorts.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(short[] a, short val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified short value to each element of the specified
+     * range of the specified array of shorts.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(short[] a, int fromIndex, int toIndex, short val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified char value to each element of the specified array
+     * of chars.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(char[] a, char val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified char value to each element of the specified
+     * range of the specified array of chars.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(char[] a, int fromIndex, int toIndex, char val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified byte value to each element of the specified array
+     * of bytes.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(byte[] a, byte val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified byte value to each element of the specified
+     * range of the specified array of bytes.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(byte[] a, int fromIndex, int toIndex, byte val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified boolean value to each element of the specified
+     * array of booleans.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(boolean[] a, boolean val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified boolean value to each element of the specified
+     * range of the specified array of booleans.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(boolean[] a, int fromIndex, int toIndex,
+                            boolean val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified double value to each element of the specified
+     * array of doubles.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(double[] a, double val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified double value to each element of the specified
+     * range of the specified array of doubles.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(double[] a, int fromIndex, int toIndex,double val){
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified float value to each element of the specified array
+     * of floats.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     */
+    public static void fill(float[] a, float val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified float value to each element of the specified
+     * range of the specified array of floats.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     */
+    public static void fill(float[] a, int fromIndex, int toIndex, float val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified Object reference to each element of the specified
+     * array of Objects.
+     *
+     * @param a the array to be filled
+     * @param val the value to be stored in all elements of the array
+     * @throws ArrayStoreException if the specified value is not of a
+     *         runtime type that can be stored in the specified array
+     */
+    public static void fill(Object[] a, Object val) {
+        for (int i = 0, len = a.length; i < len; i++)
+            a[i] = val;
+    }
+
+    /**
+     * Assigns the specified Object reference to each element of the specified
+     * range of the specified array of Objects.  The range to be filled
+     * extends from index <tt>fromIndex</tt>, inclusive, to index
+     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
+     * range to be filled is empty.)
+     *
+     * @param a the array to be filled
+     * @param fromIndex the index of the first element (inclusive) to be
+     *        filled with the specified value
+     * @param toIndex the index of the last element (exclusive) to be
+     *        filled with the specified value
+     * @param val the value to be stored in all elements of the array
+     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
+     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
+     *         <tt>toIndex &gt; a.length</tt>
+     * @throws ArrayStoreException if the specified value is not of a
+     *         runtime type that can be stored in the specified array
+     */
+    public static void fill(Object[] a, int fromIndex, int toIndex, Object val) {
+        rangeCheck(a.length, fromIndex, toIndex);
+        for (int i = fromIndex; i < toIndex; i++)
+            a[i] = val;
+    }
+
+
+    // Cloning
+    /**
+     * Copies the specified array, truncating or padding with nulls (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>null</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     * The resulting array is of exactly the same class as the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with nulls
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static <T> T[] copyOf(T[] original, int newLength) {
+        return (T[]) copyOf(original, newLength, original.getClass());
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with nulls (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>null</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     * The resulting array is of the class <tt>newType</tt>.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @param newType the class of the copy to be returned
+     * @return a copy of the original array, truncated or padded with nulls
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @throws ArrayStoreException if an element copied from
+     *     <tt>original</tt> is not of a runtime type that can be stored in
+     *     an array of class <tt>newType</tt>
+     * @since 1.6
+     */
+    public static <T,U> T[] copyOf(U[] original, int newLength, Class<? extends T[]> newType) {
+        T[] copy = ((Object)newType == (Object)Object[].class)
+            ? (T[]) new Object[newLength]
+            : (T[]) Array.newInstance(newType.getComponentType(), newLength);
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>(byte)0</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static byte[] copyOf(byte[] original, int newLength) {
+        byte[] copy = new byte[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>(short)0</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static short[] copyOf(short[] original, int newLength) {
+        short[] copy = new short[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>0</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static int[] copyOf(int[] original, int newLength) {
+        int[] copy = new int[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>0L</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static long[] copyOf(long[] original, int newLength) {
+        long[] copy = new long[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with null characters (if necessary)
+     * so the copy has the specified length.  For all indices that are valid
+     * in both the original array and the copy, the two arrays will contain
+     * identical values.  For any indices that are valid in the copy but not
+     * the original, the copy will contain <tt>'\\u000'</tt>.  Such indices
+     * will exist if and only if the specified length is greater than that of
+     * the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with null characters
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static char[] copyOf(char[] original, int newLength) {
+        char[] copy = new char[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>0f</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static float[] copyOf(float[] original, int newLength) {
+        float[] copy = new float[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with zeros (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>0d</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with zeros
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static double[] copyOf(double[] original, int newLength) {
+        double[] copy = new double[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified array, truncating or padding with <tt>false</tt> (if necessary)
+     * so the copy has the specified length.  For all indices that are
+     * valid in both the original array and the copy, the two arrays will
+     * contain identical values.  For any indices that are valid in the
+     * copy but not the original, the copy will contain <tt>false</tt>.
+     * Such indices will exist if and only if the specified length
+     * is greater than that of the original array.
+     *
+     * @param original the array to be copied
+     * @param newLength the length of the copy to be returned
+     * @return a copy of the original array, truncated or padded with false elements
+     *     to obtain the specified length
+     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static boolean[] copyOf(boolean[] original, int newLength) {
+        boolean[] copy = new boolean[newLength];
+        System.arraycopy(original, 0, copy, 0,
+                         Math.min(original.length, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>null</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     * <p>
+     * The resulting array is of exactly the same class as the original array.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with nulls to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static <T> T[] copyOfRange(T[] original, int from, int to) {
+        return copyOfRange(original, from, to, (Class<T[]>) original.getClass());
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>null</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     * The resulting array is of the class <tt>newType</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @param newType the class of the copy to be returned
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with nulls to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @throws ArrayStoreException if an element copied from
+     *     <tt>original</tt> is not of a runtime type that can be stored in
+     *     an array of class <tt>newType</tt>.
+     * @since 1.6
+     */
+    public static <T,U> T[] copyOfRange(U[] original, int from, int to, Class<? extends T[]> newType) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        T[] copy = ((Object)newType == (Object)Object[].class)
+            ? (T[]) new Object[newLength]
+            : (T[]) Array.newInstance(newType.getComponentType(), newLength);
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>(byte)0</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static byte[] copyOfRange(byte[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        byte[] copy = new byte[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>(short)0</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static short[] copyOfRange(short[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        short[] copy = new short[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>0</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static int[] copyOfRange(int[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        int[] copy = new int[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>0L</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static long[] copyOfRange(long[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        long[] copy = new long[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>'\\u000'</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with null characters to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static char[] copyOfRange(char[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        char[] copy = new char[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>0f</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static float[] copyOfRange(float[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        float[] copy = new float[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>0d</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with zeros to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static double[] copyOfRange(double[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        double[] copy = new double[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+    /**
+     * Copies the specified range of the specified array into a new array.
+     * The initial index of the range (<tt>from</tt>) must lie between zero
+     * and <tt>original.length</tt>, inclusive.  The value at
+     * <tt>original[from]</tt> is placed into the initial element of the copy
+     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
+     * Values from subsequent elements in the original array are placed into
+     * subsequent elements in the copy.  The final index of the range
+     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
+     * may be greater than <tt>original.length</tt>, in which case
+     * <tt>false</tt> is placed in all elements of the copy whose index is
+     * greater than or equal to <tt>original.length - from</tt>.  The length
+     * of the returned array will be <tt>to - from</tt>.
+     *
+     * @param original the array from which a range is to be copied
+     * @param from the initial index of the range to be copied, inclusive
+     * @param to the final index of the range to be copied, exclusive.
+     *     (This index may lie outside the array.)
+     * @return a new array containing the specified range from the original array,
+     *     truncated or padded with false elements to obtain the required length
+     * @throws ArrayIndexOutOfBoundsException if {@code from < 0}
+     *     or {@code from > original.length}
+     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
+     * @throws NullPointerException if <tt>original</tt> is null
+     * @since 1.6
+     */
+    public static boolean[] copyOfRange(boolean[] original, int from, int to) {
+        int newLength = to - from;
+        if (newLength < 0)
+            throw new IllegalArgumentException(from + " > " + to);
+        boolean[] copy = new boolean[newLength];
+        System.arraycopy(original, from, copy, 0,
+                         Math.min(original.length - from, newLength));
+        return copy;
+    }
+
+
+    // Misc
+
+    /**
+     * Returns a fixed-size list backed by the specified array.  (Changes to
+     * the returned list "write through" to the array.)  This method acts
+     * as bridge between array-based and collection-based APIs, in
+     * combination with {@link Collection#toArray}.  The returned list is
+     * serializable and implements {@link RandomAccess}.
+     *
+     * <p>This method also provides a convenient way to create a fixed-size
+     * list initialized to contain several elements:
+     * <pre>
+     *     List&lt;String&gt; stooges = Arrays.asList("Larry", "Moe", "Curly");
+     * </pre>
+     *
+     * @param a the array by which the list will be backed
+     * @return a list view of the specified array
+     */
+    public static <T> List<T> asList(T... a) {
+        return new ArrayList<T>(a);
+    }
+
+    /**
+     * @serial include
+     */
+    private static class ArrayList<E> extends AbstractList<E>
+        implements RandomAccess, java.io.Serializable
+    {
+        private static final long serialVersionUID = -2764017481108945198L;
+        private final E[] a;
+
+        ArrayList(E[] array) {
+            if (array==null)
+                throw new NullPointerException();
+            a = array;
+        }
+
+        public int size() {
+            return a.length;
+        }
+
+        public Object[] toArray() {
+            return a.clone();
+        }
+
+        public <T> T[] toArray(T[] a) {
+            int size = size();
+            if (a.length < size)
+                return Arrays.copyOf(this.a, size,
+                                     (Class<? extends T[]>) a.getClass());
+            System.arraycopy(this.a, 0, a, 0, size);
+            if (a.length > size)
+                a[size] = null;
+            return a;
+        }
+
+        public E get(int index) {
+            return a[index];
+        }
+
+        public E set(int index, E element) {
+            E oldValue = a[index];
+            a[index] = element;
+            return oldValue;
+        }
+
+        public int indexOf(Object o) {
+            if (o==null) {
+                for (int i=0; i<a.length; i++)
+                    if (a[i]==null)
+                        return i;
+            } else {
+                for (int i=0; i<a.length; i++)
+                    if (o.equals(a[i]))
+                        return i;
+            }
+            return -1;
+        }
+
+        public boolean contains(Object o) {
+            return indexOf(o) != -1;
+        }
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>long</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Long}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(long a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (long element : a) {
+            int elementHash = (int)(element ^ (element >>> 32));
+            result = 31 * result + elementHash;
+        }
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two non-null <tt>int</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Integer}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(int a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (int element : a)
+            result = 31 * result + element;
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>short</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Short}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(short a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (short element : a)
+            result = 31 * result + element;
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>char</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Character}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(char a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (char element : a)
+            result = 31 * result + element;
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>byte</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Byte}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(byte a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (byte element : a)
+            result = 31 * result + element;
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>boolean</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Boolean}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(boolean a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (boolean element : a)
+            result = 31 * result + (element ? 1231 : 1237);
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>float</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Float}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(float a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (float element : a)
+            result = 31 * result + Float.floatToIntBits(element);
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.
+     * For any two <tt>double</tt> arrays <tt>a</tt> and <tt>b</tt>
+     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is the same value that would be
+     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
+     * method on a {@link List} containing a sequence of {@link Double}
+     * instances representing the elements of <tt>a</tt> in the same order.
+     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
+     *
+     * @param a the array whose hash value to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @since 1.5
+     */
+    public static int hashCode(double a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+        for (double element : a) {
+            long bits = Double.doubleToLongBits(element);
+            result = 31 * result + (int)(bits ^ (bits >>> 32));
+        }
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the contents of the specified array.  If
+     * the array contains other arrays as elements, the hash code is based on
+     * their identities rather than their contents.  It is therefore
+     * acceptable to invoke this method on an array that contains itself as an
+     * element,  either directly or indirectly through one or more levels of
+     * arrays.
+     *
+     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
+     * <tt>Arrays.equals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
+     *
+     * <p>The value returned by this method is equal to the value that would
+     * be returned by <tt>Arrays.asList(a).hashCode()</tt>, unless <tt>a</tt>
+     * is <tt>null</tt>, in which case <tt>0</tt> is returned.
+     *
+     * @param a the array whose content-based hash code to compute
+     * @return a content-based hash code for <tt>a</tt>
+     * @see #deepHashCode(Object[])
+     * @since 1.5
+     */
+    public static int hashCode(Object a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+
+        for (Object element : a)
+            result = 31 * result + (element == null ? 0 : element.hashCode());
+
+        return result;
+    }
+
+    /**
+     * Returns a hash code based on the "deep contents" of the specified
+     * array.  If the array contains other arrays as elements, the
+     * hash code is based on their contents and so on, ad infinitum.
+     * It is therefore unacceptable to invoke this method on an array that
+     * contains itself as an element, either directly or indirectly through
+     * one or more levels of arrays.  The behavior of such an invocation is
+     * undefined.
+     *
+     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
+     * <tt>Arrays.deepEquals(a, b)</tt>, it is also the case that
+     * <tt>Arrays.deepHashCode(a) == Arrays.deepHashCode(b)</tt>.
+     *
+     * <p>The computation of the value returned by this method is similar to
+     * that of the value returned by {@link List#hashCode()} on a list
+     * containing the same elements as <tt>a</tt> in the same order, with one
+     * difference: If an element <tt>e</tt> of <tt>a</tt> is itself an array,
+     * its hash code is computed not by calling <tt>e.hashCode()</tt>, but as
+     * by calling the appropriate overloading of <tt>Arrays.hashCode(e)</tt>
+     * if <tt>e</tt> is an array of a primitive type, or as by calling
+     * <tt>Arrays.deepHashCode(e)</tt> recursively if <tt>e</tt> is an array
+     * of a reference type.  If <tt>a</tt> is <tt>null</tt>, this method
+     * returns 0.
+     *
+     * @param a the array whose deep-content-based hash code to compute
+     * @return a deep-content-based hash code for <tt>a</tt>
+     * @see #hashCode(Object[])
+     * @since 1.5
+     */
+    public static int deepHashCode(Object a[]) {
+        if (a == null)
+            return 0;
+
+        int result = 1;
+
+        for (Object element : a) {
+            int elementHash = 0;
+            if (element instanceof Object[])
+                elementHash = deepHashCode((Object[]) element);
+            else if (element instanceof byte[])
+                elementHash = hashCode((byte[]) element);
+            else if (element instanceof short[])
+                elementHash = hashCode((short[]) element);
+            else if (element instanceof int[])
+                elementHash = hashCode((int[]) element);
+            else if (element instanceof long[])
+                elementHash = hashCode((long[]) element);
+            else if (element instanceof char[])
+                elementHash = hashCode((char[]) element);
+            else if (element instanceof float[])
+                elementHash = hashCode((float[]) element);
+            else if (element instanceof double[])
+                elementHash = hashCode((double[]) element);
+            else if (element instanceof boolean[])
+                elementHash = hashCode((boolean[]) element);
+            else if (element != null)
+                elementHash = element.hashCode();
+
+            result = 31 * result + elementHash;
+        }
+
+        return result;
+    }
+
+    /**
+     * Returns <tt>true</tt> if the two specified arrays are <i>deeply
+     * equal</i> to one another.  Unlike the {@link #equals(Object[],Object[])}
+     * method, this method is appropriate for use with nested arrays of
+     * arbitrary depth.
+     *
+     * <p>Two array references are considered deeply equal if both
+     * are <tt>null</tt>, or if they refer to arrays that contain the same
+     * number of elements and all corresponding pairs of elements in the two
+     * arrays are deeply equal.
+     *
+     * <p>Two possibly <tt>null</tt> elements <tt>e1</tt> and <tt>e2</tt> are
+     * deeply equal if any of the following conditions hold:
+     * <ul>
+     *    <li> <tt>e1</tt> and <tt>e2</tt> are both arrays of object reference
+     *         types, and <tt>Arrays.deepEquals(e1, e2) would return true</tt>
+     *    <li> <tt>e1</tt> and <tt>e2</tt> are arrays of the same primitive
+     *         type, and the appropriate overloading of
+     *         <tt>Arrays.equals(e1, e2)</tt> would return true.
+     *    <li> <tt>e1 == e2</tt>
+     *    <li> <tt>e1.equals(e2)</tt> would return true.
+     * </ul>
+     * Note that this definition permits <tt>null</tt> elements at any depth.
+     *
+     * <p>If either of the specified arrays contain themselves as elements
+     * either directly or indirectly through one or more levels of arrays,
+     * the behavior of this method is undefined.
+     *
+     * @param a1 one array to be tested for equality
+     * @param a2 the other array to be tested for equality
+     * @return <tt>true</tt> if the two arrays are equal
+     * @see #equals(Object[],Object[])
+     * @since 1.5
+     */
+    public static boolean deepEquals(Object[] a1, Object[] a2) {
+        if (a1 == a2)
+            return true;
+        if (a1 == null || a2==null)
+            return false;
+        int length = a1.length;
+        if (a2.length != length)
+            return false;
+
+        for (int i = 0; i < length; i++) {
+            Object e1 = a1[i];
+            Object e2 = a2[i];
+
+            if (e1 == e2)
+                continue;
+            if (e1 == null)
+                return false;
+
+            // Figure out whether the two elements are equal
+            boolean eq;
+            if (e1 instanceof Object[] && e2 instanceof Object[])
+                eq = deepEquals ((Object[]) e1, (Object[]) e2);
+            else if (e1 instanceof byte[] && e2 instanceof byte[])
+                eq = equals((byte[]) e1, (byte[]) e2);
+            else if (e1 instanceof short[] && e2 instanceof short[])
+                eq = equals((short[]) e1, (short[]) e2);
+            else if (e1 instanceof int[] && e2 instanceof int[])
+                eq = equals((int[]) e1, (int[]) e2);
+            else if (e1 instanceof long[] && e2 instanceof long[])
+                eq = equals((long[]) e1, (long[]) e2);
+            else if (e1 instanceof char[] && e2 instanceof char[])
+                eq = equals((char[]) e1, (char[]) e2);
+            else if (e1 instanceof float[] && e2 instanceof float[])
+                eq = equals((float[]) e1, (float[]) e2);
+            else if (e1 instanceof double[] && e2 instanceof double[])
+                eq = equals((double[]) e1, (double[]) e2);
+            else if (e1 instanceof boolean[] && e2 instanceof boolean[])
+                eq = equals((boolean[]) e1, (boolean[]) e2);
+            else
+                eq = e1.equals(e2);
+
+            if (!eq)
+                return false;
+        }
+        return true;
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(long)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(long[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(int)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt> is
+     * <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(int[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(short)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(short[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(char)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(char[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements
+     * are separated by the characters <tt>", "</tt> (a comma followed
+     * by a space).  Elements are converted to strings as by
+     * <tt>String.valueOf(byte)</tt>.  Returns <tt>"null"</tt> if
+     * <tt>a</tt> is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(byte[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(boolean)</tt>.  Returns <tt>"null"</tt> if
+     * <tt>a</tt> is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(boolean[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(float)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(float[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * The string representation consists of a list of the array's elements,
+     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
+     * separated by the characters <tt>", "</tt> (a comma followed by a
+     * space).  Elements are converted to strings as by
+     * <tt>String.valueOf(double)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @since 1.5
+     */
+    public static String toString(double[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(a[i]);
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the contents of the specified array.
+     * If the array contains other arrays as elements, they are converted to
+     * strings by the {@link Object#toString} method inherited from
+     * <tt>Object</tt>, which describes their <i>identities</i> rather than
+     * their contents.
+     *
+     * <p>The value returned by this method is equal to the value that would
+     * be returned by <tt>Arrays.asList(a).toString()</tt>, unless <tt>a</tt>
+     * is <tt>null</tt>, in which case <tt>"null"</tt> is returned.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @see #deepToString(Object[])
+     * @since 1.5
+     */
+    public static String toString(Object[] a) {
+        if (a == null)
+            return "null";
+        int iMax = a.length - 1;
+        if (iMax == -1)
+            return "[]";
+
+        StringBuilder b = new StringBuilder();
+        b.append('[');
+        for (int i = 0; ; i++) {
+            b.append(String.valueOf(a[i]));
+            if (i == iMax)
+                return b.append(']').toString();
+            b.append(", ");
+        }
+    }
+
+    /**
+     * Returns a string representation of the "deep contents" of the specified
+     * array.  If the array contains other arrays as elements, the string
+     * representation contains their contents and so on.  This method is
+     * designed for converting multidimensional arrays to strings.
+     *
+     * <p>The string representation consists of a list of the array's
+     * elements, enclosed in square brackets (<tt>"[]"</tt>).  Adjacent
+     * elements are separated by the characters <tt>", "</tt> (a comma
+     * followed by a space).  Elements are converted to strings as by
+     * <tt>String.valueOf(Object)</tt>, unless they are themselves
+     * arrays.
+     *
+     * <p>If an element <tt>e</tt> is an array of a primitive type, it is
+     * converted to a string as by invoking the appropriate overloading of
+     * <tt>Arrays.toString(e)</tt>.  If an element <tt>e</tt> is an array of a
+     * reference type, it is converted to a string as by invoking
+     * this method recursively.
+     *
+     * <p>To avoid infinite recursion, if the specified array contains itself
+     * as an element, or contains an indirect reference to itself through one
+     * or more levels of arrays, the self-reference is converted to the string
+     * <tt>"[...]"</tt>.  For example, an array containing only a reference
+     * to itself would be rendered as <tt>"[[...]]"</tt>.
+     *
+     * <p>This method returns <tt>"null"</tt> if the specified array
+     * is <tt>null</tt>.
+     *
+     * @param a the array whose string representation to return
+     * @return a string representation of <tt>a</tt>
+     * @see #toString(Object[])
+     * @since 1.5
+     */
+    public static String deepToString(Object[] a) {
+        if (a == null)
+            return "null";
+
+        int bufLen = 20 * a.length;
+        if (a.length != 0 && bufLen <= 0)
+            bufLen = Integer.MAX_VALUE;
+        StringBuilder buf = new StringBuilder(bufLen);
+        deepToString(a, buf, new HashSet());
+        return buf.toString();
+    }
+
+    private static void deepToString(Object[] a, StringBuilder buf,
+                                     Set<Object[]> dejaVu) {
+        if (a == null) {
+            buf.append("null");
+            return;
+        }
+        int iMax = a.length - 1;
+        if (iMax == -1) {
+            buf.append("[]");
+            return;
+        }
+
+        dejaVu.add(a);
+        buf.append('[');
+        for (int i = 0; ; i++) {
+
+            Object element = a[i];
+            if (element == null) {
+                buf.append("null");
+            } else {
+                Class eClass = element.getClass();
+
+                if (eClass.isArray()) {
+                    if (eClass == byte[].class)
+                        buf.append(toString((byte[]) element));
+                    else if (eClass == short[].class)
+                        buf.append(toString((short[]) element));
+                    else if (eClass == int[].class)
+                        buf.append(toString((int[]) element));
+                    else if (eClass == long[].class)
+                        buf.append(toString((long[]) element));
+                    else if (eClass == char[].class)
+                        buf.append(toString((char[]) element));
+                    else if (eClass == float[].class)
+                        buf.append(toString((float[]) element));
+                    else if (eClass == double[].class)
+                        buf.append(toString((double[]) element));
+                    else if (eClass == boolean[].class)
+                        buf.append(toString((boolean[]) element));
+                    else { // element is an array of object references
+                        if (dejaVu.contains(element))
+                            buf.append("[...]");
+                        else
+                            deepToString((Object[])element, buf, dejaVu);
+                    }
+                } else {  // element is non-null and not an array
+                    buf.append(element.toString());
+                }
+            }
+            if (i == iMax)
+                break;
+            buf.append(", ");
+        }
+        buf.append(']');
+        dejaVu.remove(a);
+    }
+}