mirror of git://gcc.gnu.org/git/gcc.git
2145 lines
54 KiB
Java
2145 lines
54 KiB
Java
/* Arrays.java -- Utility class with methods to operate on arrays
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Copyright (C) 1998, 1999, 2000 Free Software Foundation, Inc.
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This file is part of GNU Classpath.
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GNU Classpath is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2, or (at your option)
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any later version.
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GNU Classpath is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with GNU Classpath; see the file COPYING. If not, write to the
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Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA.
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As a special exception, if you link this library with other files to
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produce an executable, this library does not by itself cause the
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resulting executable to be covered by the GNU General Public License.
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This exception does not however invalidate any other reasons why the
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executable file might be covered by the GNU General Public License. */
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// TO DO:
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// ~ Fix the behaviour of sort and binarySearch as applied to float and double
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// arrays containing NaN values. See the JDC, bug ID 4143272.
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package java.util;
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/**
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* This class contains various static utility methods performing operations on
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* arrays, and a method to provide a List "view" of an array to facilitate
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* using arrays with Collection-based APIs.
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*/
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public class Arrays
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{
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/**
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* This class is non-instantiable.
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*/
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private Arrays()
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{
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}
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private static Comparator defaultComparator = new Comparator()
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{
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public int compare(Object o1, Object o2)
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{
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return ((Comparable) o1).compareTo(o2);
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}
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};
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/**
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* Perform a binary search of a byte array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(byte[]a, byte key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final byte d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of a char array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(char[]a, char key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final char d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of a double array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(double[]a, double key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final double d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of a float array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(float[]a, float key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final float d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of an int array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(int[]a, int key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final int d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of a long array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(long[]a, long key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final long d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of a short array for a key. The array must be
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* sorted (as by the sort() method) - if it is not, the behaviour of this
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* method is undefined, and may be an infinite loop. If the array contains
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* the key more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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*/
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public static int binarySearch(short[]a, short key)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final short d = a[mid];
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if (d == key)
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{
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return mid;
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}
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else if (d > key)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* This method does the work for the Object binary search methods.
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* @exception NullPointerException if the specified comparator is null.
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* @exception ClassCastException if the objects are not comparable by c.
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*/
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private static int objectSearch(Object[]a, Object key, final Comparator c)
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{
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int low = 0;
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int hi = a.length - 1;
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int mid = 0;
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while (low <= hi)
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{
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mid = (low + hi) >> 1;
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final int d = c.compare(key, a[mid]);
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if (d == 0)
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{
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return mid;
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}
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else if (d < 0)
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{
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hi = mid - 1;
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}
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else
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{
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// This gets the insertion point right on the last loop
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low = ++mid;
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}
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}
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return -mid - 1;
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}
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/**
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* Perform a binary search of an Object array for a key, using the natural
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* ordering of the elements. The array must be sorted (as by the sort()
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* method) - if it is not, the behaviour of this method is undefined, and may
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* be an infinite loop. Further, the key must be comparable with every item
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* in the array. If the array contains the key more than once, any one of
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* them may be found. Note: although the specification allows for an infinite
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* loop if the array is unsorted, it will not happen in this (JCL)
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* implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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* @exception ClassCastException if key could not be compared with one of the
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* elements of a
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* @exception NullPointerException if a null element has compareTo called
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*/
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public static int binarySearch(Object[]a, Object key)
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{
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return objectSearch(a, key, defaultComparator);
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}
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/**
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* Perform a binary search of an Object array for a key, using a supplied
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* Comparator. The array must be sorted (as by the sort() method with the
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* same Comparator) - if it is not, the behaviour of this method is
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* undefined, and may be an infinite loop. Further, the key must be
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* comparable with every item in the array. If the array contains the key
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* more than once, any one of them may be found. Note: although the
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* specification allows for an infinite loop if the array is unsorted, it
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* will not happen in this (JCL) implementation.
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*
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* @param a the array to search (must be sorted)
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* @param key the value to search for
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* @param c the comparator by which the array is sorted
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* @returns the index at which the key was found, or -n-1 if it was not
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* found, where n is the index of the first value higher than key or
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* a.length if there is no such value.
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* @exception ClassCastException if key could not be compared with one of the
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* elements of a
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*/
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public static int binarySearch(Object[]a, Object key, Comparator c)
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{
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return objectSearch(a, key, c);
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}
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/**
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* Compare two byte arrays for equality.
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*
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* @param a1 the first array to compare
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* @param a2 the second array to compare
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* @returns true if a1 and a2 are both null, or if a2 is of the same length
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* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
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*/
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public static boolean equals(byte[]a1, byte[]a2)
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{
|
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// Quick test which saves comparing elements of the same array, and also
|
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// catches the case that both are null.
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if (a1 == a2)
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{
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return true;
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}
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try
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{
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// If they're the same length, test each element
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if (a1.length == a2.length)
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{
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for (int i = 0; i < a1.length; i++)
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{
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if (a1[i] != a2[i])
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{
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return false;
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}
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|
}
|
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return true;
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|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
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|
}
|
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catch (NullPointerException e)
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{
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}
|
|
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return false;
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}
|
|
|
|
/**
|
|
* Compare two char arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(char[]a1, char[]a2)
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|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
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return true;
|
|
}
|
|
|
|
try
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|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
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{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two double arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(double[]a1, double[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
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{
|
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return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two float arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(float[]a1, float[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two long arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(long[]a1, long[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two short arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(short[]a1, short[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two boolean arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(boolean[]a1, boolean[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two int arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a2 is of the same length
|
|
* as a1, and for each 0 <= i < a1.length, a1[i] == a2[i]
|
|
*/
|
|
public static boolean equals(int[]a1, int[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (a1[i] != a2[i])
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Compare two Object arrays for equality.
|
|
*
|
|
* @param a1 the first array to compare
|
|
* @param a2 the second array to compare
|
|
* @returns true if a1 and a2 are both null, or if a1 is of the same length
|
|
* as a2, and for each 0 <= i < a.length, a1[i] == null ? a2[i] == null :
|
|
* a1[i].equals(a2[i]).
|
|
*/
|
|
public static boolean equals(Object[]a1, Object[]a2)
|
|
{
|
|
// Quick test which saves comparing elements of the same array, and also
|
|
// catches the case that both are null.
|
|
if (a1 == a2)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
try
|
|
{
|
|
// If they're the same length, test each element
|
|
if (a1.length == a2.length)
|
|
{
|
|
for (int i = 0; i < a1.length; i++)
|
|
{
|
|
if (!(a1[i] == null ? a2[i] == null : a1[i].equals(a2[i])))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// If a1 == null or a2 == null but not both then we will get a NullPointer
|
|
}
|
|
catch (NullPointerException e)
|
|
{
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a boolean value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(boolean[]a, boolean val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a boolean value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(boolean[]a, int fromIndex, int toIndex, boolean val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a byte value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(byte[]a, byte val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a byte value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(byte[]a, int fromIndex, int toIndex, byte val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a char value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(char[]a, char val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a char value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(char[]a, int fromIndex, int toIndex, char val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a double value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(double[]a, double val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a double value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(double[]a, int fromIndex, int toIndex, double val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a float value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(float[]a, float val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a float value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(float[]a, int fromIndex, int toIndex, float val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with an int value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(int[]a, int val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with an int value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(int[]a, int fromIndex, int toIndex, int val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a long value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(long[]a, long val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a long value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(long[]a, int fromIndex, int toIndex, long val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with a short value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
*/
|
|
public static void fill(short[]a, short val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with a short value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
*/
|
|
public static void fill(short[]a, int fromIndex, int toIndex, short val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Fill an array with an Object value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param val the value to fill it with
|
|
* @exception ClassCastException if val is not an instance of the element
|
|
* type of a.
|
|
*/
|
|
public static void fill(Object[]a, Object val)
|
|
{
|
|
// This implementation is slightly inefficient timewise, but the extra
|
|
// effort over inlining it is O(1) and small, and I refuse to repeat code
|
|
// if it can be helped.
|
|
fill(a, 0, a.length, val);
|
|
}
|
|
|
|
/**
|
|
* Fill a range of an array with an Object value.
|
|
*
|
|
* @param a the array to fill
|
|
* @param fromIndex the index to fill from, inclusive
|
|
* @param toIndex the index to fill to, exclusive
|
|
* @param val the value to fill with
|
|
* @exception ClassCastException if val is not an instance of the element
|
|
* type of a.
|
|
*/
|
|
public static void fill(Object[]a, int fromIndex, int toIndex, Object val)
|
|
{
|
|
for (int i = fromIndex; i < toIndex; i++)
|
|
{
|
|
a[i] = val;
|
|
}
|
|
}
|
|
|
|
// Thanks to Paul Fisher <rao@gnu.org> for finding this quicksort algorithm
|
|
// as specified by Sun and porting it to Java.
|
|
|
|
/**
|
|
* Sort a byte array into ascending order. The sort algorithm is an optimised
|
|
* quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(byte[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(byte[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static short cmp(byte i, byte j)
|
|
{
|
|
return (short) (i - j);
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, byte[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, byte[]a)
|
|
{
|
|
byte c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(byte[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
short r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, byte[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort a char array into ascending order. The sort algorithm is an optimised
|
|
* quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(char[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(char[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static int cmp(char i, char j)
|
|
{
|
|
return i - j;
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, char[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, char[]a)
|
|
{
|
|
char c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(char[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
int r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, char[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort a double array into ascending order. The sort algorithm is an
|
|
* optimised quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort. Note that this implementation, like Sun's, has undefined
|
|
* behaviour if the array contains any NaN values.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(double[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(double[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static double cmp(double i, double j)
|
|
{
|
|
return i - j;
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, double[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, double[]a)
|
|
{
|
|
double c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(double[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
double r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, double[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort a float array into ascending order. The sort algorithm is an
|
|
* optimised quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort. Note that this implementation, like Sun's, has undefined
|
|
* behaviour if the array contains any NaN values.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(float[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(float[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static float cmp(float i, float j)
|
|
{
|
|
return i - j;
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, float[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, float[]a)
|
|
{
|
|
float c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(float[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
float r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, float[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort an int array into ascending order. The sort algorithm is an optimised
|
|
* quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(int[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(int[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static long cmp(int i, int j)
|
|
{
|
|
return (long) i - (long) j;
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, int[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, int[]a)
|
|
{
|
|
int c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(int[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
long r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, int[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort a long array into ascending order. The sort algorithm is an optimised
|
|
* quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(long[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(long[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
// The "cmp" method has been removed from here and replaced with direct
|
|
// compares in situ, to avoid problems with overflow if the difference
|
|
// between two numbers is bigger than a long will hold.
|
|
// One particular change as a result is the use of r1 and r2 in qsort
|
|
|
|
private static int med3(int a, int b, int c, long[]d)
|
|
{
|
|
return d[a] < d[b] ?
|
|
(d[b] < d[c] ? b : d[a] < d[c] ? c : a)
|
|
: (d[b] > d[c] ? b : d[a] > d[c] ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, long[]a)
|
|
{
|
|
long c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(long[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && a[j - 1] > a[j]; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
long r1, r2;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r1 = a[pb]) <= (r2 = a[pv]))
|
|
{
|
|
if (r1 == r2)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r1 = a[pc]) >= (r2 = a[pv]))
|
|
{
|
|
if (r1 == r2)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, long[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* Sort a short array into ascending order. The sort algorithm is an
|
|
* optimised quicksort, as described in 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 gives nlog(n)
|
|
* performance on many arrays that would take quadratic time with a standard
|
|
* quicksort.
|
|
*
|
|
* @param a the array to sort
|
|
*/
|
|
public static void sort(short[]a)
|
|
{
|
|
qsort(a, 0, a.length);
|
|
}
|
|
|
|
public static void sort(short[] a, int fromIndex, int toIndex)
|
|
{
|
|
qsort(a, fromIndex, toIndex);
|
|
}
|
|
|
|
private static int cmp(short i, short j)
|
|
{
|
|
return i - j;
|
|
}
|
|
|
|
private static int med3(int a, int b, int c, short[]d)
|
|
{
|
|
return cmp(d[a], d[b]) < 0 ?
|
|
(cmp(d[b], d[c]) < 0 ? b : cmp(d[a], d[c]) < 0 ? c : a)
|
|
: (cmp(d[b], d[c]) > 0 ? b : cmp(d[a], d[c]) > 0 ? c : a);
|
|
}
|
|
|
|
private static void swap(int i, int j, short[]a)
|
|
{
|
|
short c = a[i];
|
|
a[i] = a[j];
|
|
a[j] = c;
|
|
}
|
|
|
|
private static void qsort(short[]a, int start, int n)
|
|
{
|
|
// use an insertion sort on small arrays
|
|
if (n < 7)
|
|
{
|
|
for (int i = start + 1; i < start + n; i++)
|
|
for (int j = i; j > 0 && cmp(a[j - 1], a[j]) > 0; j--)
|
|
swap(j, j - 1, a);
|
|
return;
|
|
}
|
|
|
|
int pm = n / 2; // small arrays, middle element
|
|
if (n > 7)
|
|
{
|
|
int pl = start;
|
|
int pn = start + n - 1;
|
|
|
|
if (n > 40)
|
|
{ // big arrays, pseudomedian of 9
|
|
int s = n / 8;
|
|
pl = med3(pl, pl + s, pl + 2 * s, a);
|
|
pm = med3(pm - s, pm, pm + s, a);
|
|
pn = med3(pn - 2 * s, pn - s, pn, a);
|
|
}
|
|
pm = med3(pl, pm, pn, a); // mid-size, med of 3
|
|
}
|
|
|
|
int pa, pb, pc, pd, pv;
|
|
int r;
|
|
|
|
pv = start;
|
|
swap(pv, pm, a);
|
|
pa = pb = start;
|
|
pc = pd = start + n - 1;
|
|
|
|
for (;;)
|
|
{
|
|
while (pb <= pc && (r = cmp(a[pb], a[pv])) <= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pa, pb, a);
|
|
pa++;
|
|
}
|
|
pb++;
|
|
}
|
|
while (pc >= pb && (r = cmp(a[pc], a[pv])) >= 0)
|
|
{
|
|
if (r == 0)
|
|
{
|
|
swap(pc, pd, a);
|
|
pd--;
|
|
}
|
|
pc--;
|
|
}
|
|
if (pb > pc)
|
|
break;
|
|
swap(pb, pc, a);
|
|
pb++;
|
|
pc--;
|
|
}
|
|
int pn = start + n;
|
|
int s;
|
|
s = Math.min(pa - start, pb - pa);
|
|
vecswap(start, pb - s, s, a);
|
|
s = Math.min(pd - pc, pn - pd - 1);
|
|
vecswap(pb, pn - s, s, a);
|
|
if ((s = pb - pa) > 1)
|
|
qsort(a, start, s);
|
|
if ((s = pd - pc) > 1)
|
|
qsort(a, pn - s, s);
|
|
}
|
|
|
|
private static void vecswap(int i, int j, int n, short[]a)
|
|
{
|
|
for (; n > 0; i++, j++, n--)
|
|
swap(i, j, a);
|
|
}
|
|
|
|
/**
|
|
* The bulk of the work for the object sort routines. In general,
|
|
* the code attempts to be simple rather than fast, the idea being
|
|
* that a good optimising JIT will be able to optimise it better
|
|
* than I can, and if I try it will make it more confusing for the
|
|
* JIT.
|
|
*/
|
|
private static void mergeSort(Object[]a, int from, int to, Comparator c)
|
|
{
|
|
// First presort the array in chunks of length 6 with insertion sort.
|
|
// mergesort would give too much overhead for this length.
|
|
for (int chunk = from; chunk < to; chunk += 6)
|
|
{
|
|
int end = Math.min(chunk + 6, to);
|
|
for (int i = chunk + 1; i < end; i++)
|
|
{
|
|
if (c.compare(a[i - 1], a[i]) > 0)
|
|
{
|
|
// not already sorted
|
|
int j = i;
|
|
Object elem = a[j];
|
|
do
|
|
{
|
|
a[j] = a[j - 1];
|
|
j--;
|
|
}
|
|
while (j > chunk && c.compare(a[j - 1], elem) > 0);
|
|
a[j] = elem;
|
|
}
|
|
}
|
|
}
|
|
|
|
int len = to - from;
|
|
// If length is smaller or equal 6 we are done.
|
|
if (len <= 6)
|
|
return;
|
|
|
|
Object[]src = a;
|
|
Object[]dest = new Object[len];
|
|
Object[]t = null; // t is used for swapping src and dest
|
|
|
|
// The difference of the fromIndex of the src and dest array.
|
|
int srcDestDiff = -from;
|
|
|
|
// The merges are done in this loop
|
|
for (int size = 6; size < len; size <<= 1)
|
|
{
|
|
for (int start = from; start < to; start += size << 1)
|
|
{
|
|
// mid ist the start of the second sublist;
|
|
// end the start of the next sublist (or end of array).
|
|
int mid = start + size;
|
|
int end = Math.min(to, mid + size);
|
|
|
|
// The second list is empty or the elements are already in
|
|
// order - no need to merge
|
|
if (mid >= end || c.compare(src[mid - 1], src[mid]) <= 0)
|
|
{
|
|
System.arraycopy(src, start,
|
|
dest, start + srcDestDiff, end - start);
|
|
|
|
// The two halves just need swapping - no need to merge
|
|
}
|
|
else if (c.compare(src[start], src[end - 1]) > 0)
|
|
{
|
|
System.arraycopy(src, start,
|
|
dest, end - size + srcDestDiff, size);
|
|
System.arraycopy(src, mid,
|
|
dest, start + srcDestDiff, end - mid);
|
|
|
|
}
|
|
else
|
|
{
|
|
// Declare a lot of variables to save repeating
|
|
// calculations. Hopefully a decent JIT will put these
|
|
// in registers and make this fast
|
|
int p1 = start;
|
|
int p2 = mid;
|
|
int i = start + srcDestDiff;
|
|
|
|
// The main merge loop; terminates as soon as either
|
|
// half is ended
|
|
while (p1 < mid && p2 < end)
|
|
{
|
|
dest[i++] =
|
|
src[c.compare(src[p1], src[p2]) <= 0 ? p1++ : p2++];
|
|
}
|
|
|
|
// Finish up by copying the remainder of whichever half
|
|
// wasn't finished.
|
|
if (p1 < mid)
|
|
System.arraycopy(src, p1, dest, i, mid - p1);
|
|
else
|
|
System.arraycopy(src, p2, dest, i, end - p2);
|
|
}
|
|
}
|
|
// swap src and dest ready for the next merge
|
|
t = src;
|
|
src = dest;
|
|
dest = t;
|
|
from += srcDestDiff;
|
|
to += srcDestDiff;
|
|
srcDestDiff = -srcDestDiff;
|
|
}
|
|
|
|
// make sure the result ends up back in the right place. Note
|
|
// that src and dest may have been swapped above, so src
|
|
// contains the sorted array.
|
|
if (src != a)
|
|
{
|
|
// Note that from == 0.
|
|
System.arraycopy(src, 0, a, srcDestDiff, to);
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Sort an array of Objects according to their natural ordering. The sort is
|
|
* guaranteed to be stable, that is, equal elements will not be reordered.
|
|
* The sort algorithm is a mergesort with the merge omitted if the last
|
|
* element of one half comes before the first element of the other half. This
|
|
* algorithm gives guaranteed O(nlog(n)) time, at the expense of making a
|
|
* copy of the array.
|
|
*
|
|
* @param a the array to be sorted
|
|
* @exception ClassCastException if any two elements are not mutually
|
|
* comparable
|
|
* @exception NullPointerException if an element is null (since
|
|
* null.compareTo cannot work)
|
|
*/
|
|
public static void sort(Object[]a)
|
|
{
|
|
mergeSort(a, 0, a.length, defaultComparator);
|
|
}
|
|
|
|
/**
|
|
* Sort an array of Objects according to a Comparator. The sort is
|
|
* guaranteed to be stable, that is, equal elements will not be reordered.
|
|
* The sort algorithm is a mergesort with the merge omitted if the last
|
|
* element of one half comes before the first element of the other half. This
|
|
* algorithm gives guaranteed O(nlog(n)) time, at the expense of making a
|
|
* copy of the array.
|
|
*
|
|
* @param a the array to be sorted
|
|
* @param c a Comparator to use in sorting the array
|
|
* @exception ClassCastException if any two elements are not mutually
|
|
* comparable by the Comparator provided
|
|
*/
|
|
public static void sort(Object[]a, Comparator c)
|
|
{
|
|
mergeSort(a, 0, a.length, c);
|
|
}
|
|
|
|
/**
|
|
* Sort an array of Objects according to their natural ordering. The sort is
|
|
* guaranteed to be stable, that is, equal elements will not be reordered.
|
|
* The sort algorithm is a mergesort with the merge omitted if the last
|
|
* element of one half comes before the first element of the other half. This
|
|
* algorithm gives guaranteed O(nlog(n)) time, at the expense of making a
|
|
* copy of the array.
|
|
*
|
|
* @param a the array to be sorted
|
|
* @param fromIndex the index of the first element to be sorted.
|
|
* @param toIndex the index of the last element to be sorted plus one.
|
|
* @exception ClassCastException if any two elements are not mutually
|
|
* comparable by the Comparator provided
|
|
* @exception ArrayIndexOutOfBoundsException, if fromIndex and toIndex
|
|
* are not in range.
|
|
* @exception IllegalArgumentException if fromIndex > toIndex
|
|
*/
|
|
public static void sort(Object[]a, int fromIndex, int toIndex)
|
|
{
|
|
if (fromIndex > toIndex)
|
|
throw new IllegalArgumentException("fromIndex " + fromIndex
|
|
+ " > toIndex " + toIndex);
|
|
mergeSort(a, fromIndex, toIndex, defaultComparator);
|
|
}
|
|
|
|
/**
|
|
* Sort an array of Objects according to a Comparator. The sort is
|
|
* guaranteed to be stable, that is, equal elements will not be reordered.
|
|
* The sort algorithm is a mergesort with the merge omitted if the last
|
|
* element of one half comes before the first element of the other half. This
|
|
* algorithm gives guaranteed O(nlog(n)) time, at the expense of making a
|
|
* copy of the array.
|
|
*
|
|
* @param a the array to be sorted
|
|
* @param fromIndex the index of the first element to be sorted.
|
|
* @param toIndex the index of the last element to be sorted plus one.
|
|
* @param c a Comparator to use in sorting the array
|
|
* @exception ClassCastException if any two elements are not mutually
|
|
* comparable by the Comparator provided
|
|
* @exception ArrayIndexOutOfBoundsException, if fromIndex and toIndex
|
|
* are not in range.
|
|
* @exception IllegalArgumentException if fromIndex > toIndex
|
|
*/
|
|
public static void sort(Object[]a, int fromIndex, int toIndex, Comparator c)
|
|
{
|
|
if (fromIndex > toIndex)
|
|
throw new IllegalArgumentException("fromIndex " + fromIndex
|
|
+ " > toIndex " + toIndex);
|
|
mergeSort(a, fromIndex, toIndex, c);
|
|
}
|
|
|
|
/**
|
|
* Returns a list "view" of the specified array. This method is intended to
|
|
* make it easy to use the Collections API with existing array-based APIs and
|
|
* programs.
|
|
*
|
|
* @param a the array to return a view of
|
|
* @returns a fixed-size list, changes to which "write through" to the array
|
|
*/
|
|
public static List asList(final Object[]a)
|
|
{
|
|
if (a == null)
|
|
{
|
|
throw new NullPointerException();
|
|
}
|
|
|
|
return new ListImpl(a);
|
|
}
|
|
|
|
|
|
/**
|
|
* Inner class used by asList(Object[]) to provide a list interface
|
|
* to an array. The methods are all simple enough to be self documenting.
|
|
* Note: When Sun fully specify serialized forms, this class will have to
|
|
* be renamed.
|
|
*/
|
|
private static class ListImpl extends AbstractList
|
|
{
|
|
ListImpl(Object[]a)
|
|
{
|
|
this.a = a;
|
|
}
|
|
|
|
public Object get(int index)
|
|
{
|
|
return a[index];
|
|
}
|
|
|
|
public int size()
|
|
{
|
|
return a.length;
|
|
}
|
|
|
|
public Object set(int index, Object element)
|
|
{
|
|
Object old = a[index];
|
|
a[index] = element;
|
|
return old;
|
|
}
|
|
|
|
private Object[] a;
|
|
}
|
|
}
|