/* Copyright � 1999 CERN - European Organization for Nuclear Research. Permission to use, copy, modify, distribute and sell this software and its documentation for any purpose is hereby granted without fee, provided that the above copyright notice appear in all copies and that both that copyright notice and this permission notice appear in supporting documentation. CERN makes no representations about the suitability of this software for any purpose. It is provided "as is" without expressed or implied warranty. */ package cern.colt.list; import cern.colt.function.IntProcedure; /** Resizable list holding <code>int</code> elements; implemented with arrays. First see the <a href="package-summary.html">package summary</a> and javadoc <a href="package-tree.html">tree view</a> to get the broad picture. */ public class IntArrayList extends AbstractIntList { /** * The array buffer into which the elements of the list are stored. * The capacity of the list is the length of this array buffer. * @serial */ protected int[] elements; /** * Constructs an empty list. */ public IntArrayList() { this(10); } /** * Constructs a list containing the specified elements. * The initial size and capacity of the list is the length of the array. * * <b>WARNING:</b> For efficiency reasons and to keep memory usage low, <b>the array is not copied</b>. * So if subsequently you modify the specified array directly via the [] operator, be sure you know what you're doing. * * @param elements the array to be backed by the the constructed list */ public IntArrayList(int[] elements) { elements(elements); } /** * Constructs an empty list with the specified initial capacity. * * @param initialCapacity the number of elements the receiver can hold without auto-expanding itself by allocating new internal memory. */ public IntArrayList(int initialCapacity) { this(new int[initialCapacity]); setSizeRaw(0); } /** * Appends the specified element to the end of this list. * * @param element element to be appended to this list. */ public void add(int element) { // overridden for performance only. if (size == elements.length) { ensureCapacity(size + 1); } elements[size++] = element; } /** * Inserts the specified element before the specified position into the receiver. * Shifts the element currently at that position (if any) and * any subsequent elements to the right. * * @param index index before which the specified element is to be inserted (must be in [0,size]). * @param element element to be inserted. * @exception IndexOutOfBoundsException index is out of range (<tt>index < 0 || index > size()</tt>). */ public void beforeInsert(int index, int element) { // overridden for performance only. if (size == index) { add(element); return; } if (index > size || index < 0) throw new IndexOutOfBoundsException("Index: "+index+", Size: "+size); ensureCapacity(size + 1); System.arraycopy(elements, index, elements, index+1, size-index); elements[index] = element; size++; } /** * Searches the receiver for the specified value using * the binary search algorithm. The receiver must <strong>must</strong> be * sorted (as by the sort method) prior to making this call. If * it is not sorted, the results are undefined: in particular, the call * may enter an infinite loop. If the receiver contains multiple elements * equal to the specified object, there is no guarantee which instance * will be found. * * @param key the value to be searched for. * @param from the leftmost search position, inclusive. * @param to the rightmost search position, inclusive. * @return index of the search key, if it is contained in the receiver; * otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>. The <i>insertion * point</i> is defined as the the point at which the value would * be inserted into the receiver: the index of the first * element greater than the key, or <tt>receiver.size()</tt>, if all * elements in the receiver are less than the specified key. Note * that this guarantees that the return value will be >= 0 if * and only if the key is found. * @see cern.colt.Sorting * @see java.util.Arrays */ public int binarySearchFromTo(int key, int from, int to) { return cern.colt.Sorting.binarySearchFromTo(this.elements,key,from,to); } /** * Returns a deep copy of the receiver. * * @return a deep copy of the receiver. */ public Object clone() { // overridden for performance only. IntArrayList clone = new IntArrayList((int[]) elements.clone()); clone.setSizeRaw(size); return clone; } /** * Returns a deep copy of the receiver; uses <code>clone()</code> and casts the result. * * @return a deep copy of the receiver. */ public IntArrayList copy() { return (IntArrayList) clone(); } /** * Sorts the specified range of the receiver into ascending numerical order. * * The sorting algorithm is a count sort. This algorithm offers guaranteed * <dt>Performance: O(Max(n,max-min+1)). * <dt>Space requirements: int[max-min+1] buffer. * <p>This algorithm is only applicable if max-min+1 is not large! * But if applicable, it usually outperforms quicksort by a factor of 3-4. * * @param from the index of the first element (inclusive) to be sorted. * @param to the index of the last element (inclusive) to be sorted. * @param min the smallest element contained in the range. * @param max the largest element contained in the range. */ protected void countSortFromTo(int from, int to, int min, int max) { if (size==0) return; checkRangeFromTo(from, to, size); final int width = (int) (max-min+1); int[] counts = new int[width]; int[] theElements = elements; for (int i=from; i<=to; ) counts[(int)(theElements[i++]-min)]++; int fromIndex = from; int val = min; for (int i=0; i<width; i++, val++) { int c = counts[i]; if (c>0) { if (c==1) theElements[fromIndex++]=val; else { int toIndex = fromIndex + c - 1; fillFromToWith(fromIndex,toIndex,val); fromIndex = toIndex + 1; } } } } /** * Returns the elements currently stored, including invalid elements between size and capacity, if any. * * <b>WARNING:</b> For efficiency reasons and to keep memory usage low, <b>the array is not copied</b>. * So if subsequently you modify the returned array directly via the [] operator, be sure you know what you're doing. * * @return the elements currently stored. */ public int[] elements() { return elements; } /** * Sets the receiver's elements to be the specified array (not a copy of it). * * The size and capacity of the list is the length of the array. * <b>WARNING:</b> For efficiency reasons and to keep memory usage low, <b>the array is not copied</b>. * So if subsequently you modify the specified array directly via the [] operator, be sure you know what you're doing. * * @param elements the new elements to be stored. * @return the receiver itself. */ public AbstractIntList elements(int[] elements) { this.elements=elements; this.size=elements.length; return this; } /** * Ensures that the receiver can hold at least the specified number of elements without needing to allocate new internal memory. * If necessary, allocates new internal memory and increases the capacity of the receiver. * * @param minCapacity the desired minimum capacity. */ public void ensureCapacity(int minCapacity) { elements = cern.colt.Arrays.ensureCapacity(elements,minCapacity); } /** * Compares the specified Object with the receiver. * Returns true if and only if the specified Object is also an ArrayList of the same type, both Lists have the * same size, and all corresponding pairs of elements in the two Lists are identical. * In other words, two Lists are defined to be equal if they contain the * same elements in the same order. * * @param otherObj the Object to be compared for equality with the receiver. * @return true if the specified Object is equal to the receiver. */ public boolean equals(Object otherObj) { //delta // overridden for performance only. if (! (otherObj instanceof IntArrayList)) return super.equals(otherObj); if (this==otherObj) return true; if (otherObj==null) return false; IntArrayList other = (IntArrayList) otherObj; if (size()!=other.size()) return false; int[] theElements = elements(); int[] otherElements = other.elements(); for (int i=size(); --i >= 0; ) { if (theElements[i] != otherElements[i]) return false; } return true; } /** * Applies a procedure to each element of the receiver, if any. * Starts at index 0, moving rightwards. * @param procedure the procedure to be applied. Stops iteration if the procedure returns <tt>false</tt>, otherwise continues. * @return <tt>false</tt> if the procedure stopped before all elements where iterated over, <tt>true</tt> otherwise. */ public boolean forEach(IntProcedure procedure) { // overridden for performance only. int[] theElements = elements; int theSize = size; for (int i=0; i<theSize;) if (! procedure.apply(theElements[i++])) return false; return true; } /** * Returns the element at the specified position in the receiver. * * @param index index of element to return. * @exception IndexOutOfBoundsException index is out of range (index * < 0 || index >= size()). */ public int get(int index) { // overridden for performance only. if (index >= size || index < 0) throw new IndexOutOfBoundsException("Index: "+index+", Size: "+size); return elements[index]; } /** * Returns the element at the specified position in the receiver; <b>WARNING:</b> Does not check preconditions. * Provided with invalid parameters this method may return invalid elements without throwing any exception! * <b>You should only use this method when you are absolutely sure that the index is within bounds.</b> * Precondition (unchecked): <tt>index >= 0 && index < size()</tt>. * * @param index index of element to return. */ public int getQuick(int index) { return elements[index]; } /** * Returns the index of the first occurrence of the specified * element. Returns <code>-1</code> if the receiver does not contain this element. * Searches between <code>from</code>, inclusive and <code>to</code>, inclusive. * Tests for identity. * * @param element element to search for. * @param from the leftmost search position, inclusive. * @param to the rightmost search position, inclusive. * @return the index of the first occurrence of the element in the receiver; returns <code>-1</code> if the element is not found. * @exception IndexOutOfBoundsException index is out of range (<tt>size()>0 && (from<0 || from>to || to>=size())</tt>). */ public int indexOfFromTo(int element, int from, int to) { // overridden for performance only. if (size==0) return -1; checkRangeFromTo(from, to, size); int[] theElements = elements; for (int i = from ; i <= to; i++) { if (element==theElements[i]) {return i;} //found } return -1; //not found } /** * Returns the index of the last occurrence of the specified * element. Returns <code>-1</code> if the receiver does not contain this element. * Searches beginning at <code>to</code>, inclusive until <code>from</code>, inclusive. * Tests for identity. * * @param element element to search for. * @param from the leftmost search position, inclusive. * @param to the rightmost search position, inclusive. * @return the index of the last occurrence of the element in the receiver; returns <code>-1</code> if the element is not found. * @exception IndexOutOfBoundsException index is out of range (<tt>size()>0 && (from<0 || from>to || to>=size())</tt>). */ public int lastIndexOfFromTo(int element, int from, int to) { // overridden for performance only. if (size==0) return -1; checkRangeFromTo(from, to, size); int[] theElements = elements; for (int i = to ; i >= from; i--) { if (element==theElements[i]) {return i;} //found } return -1; //not found } /** * Returns a new list of the part of the receiver between <code>from</code>, inclusive, and <code>to</code>, inclusive. * @param from the index of the first element (inclusive). * @param to the index of the last element (inclusive). * @return a new list * @exception IndexOutOfBoundsException index is out of range (<tt>size()>0 && (from<0 || from>to || to>=size())</tt>). */ public AbstractIntList partFromTo(int from, int to) { if (size==0) return new IntArrayList(0); checkRangeFromTo(from, to, size); int[] part = new int[to-from+1]; System.arraycopy(elements, from, part, 0, to-from+1); return new IntArrayList(part); } /** * Removes from the receiver all elements that are contained in the specified list. * Tests for identity. * * @param other the other list. * @return <code>true</code> if the receiver changed as a result of the call. */ public boolean removeAll(AbstractIntList other) { // overridden for performance only. if (! (other instanceof IntArrayList)) return super.removeAll(other); /* There are two possibilities to do the thing a) use other.indexOf(...) b) sort other, then use other.binarySearch(...) Let's try to figure out which one is faster. Let M=size, N=other.size, then a) takes O(M*N) steps b) takes O(N*logN + M*logN) steps (sorting is O(N*logN) and binarySearch is O(logN)) Hence, if N*logN + M*logN < M*N, we use b) otherwise we use a). */ if (other.size()==0) {return false;} //nothing to do int limit = other.size()-1; int j=0; int[] theElements = elements; int mySize = size(); double N=(double) other.size(); double M=(double) mySize; if ( (N+M)*cern.jet.math.Arithmetic.log2(N) < M*N ) { // it is faster to sort other before searching in it IntArrayList sortedList = (IntArrayList) other.clone(); sortedList.quickSort(); for (int i=0; i<mySize ; i++) { if (sortedList.binarySearchFromTo(theElements[i], 0, limit) < 0) theElements[j++]=theElements[i]; } } else { // it is faster to search in other without sorting for (int i=0; i<mySize ; i++) { if (other.indexOfFromTo(theElements[i], 0, limit) < 0) theElements[j++]=theElements[i]; } } boolean modified = (j!=mySize); setSize(j); return modified; } /** * Replaces a number of elements in the receiver with the same number of elements of another list. * Replaces elements in the receiver, between <code>from</code> (inclusive) and <code>to</code> (inclusive), * with elements of <code>other</code>, starting from <code>otherFrom</code> (inclusive). * * @param from the position of the first element to be replaced in the receiver * @param to the position of the last element to be replaced in the receiver * @param other list holding elements to be copied into the receiver. * @param otherFrom position of first element within other list to be copied. */ public void replaceFromToWithFrom(int from, int to, AbstractIntList other, int otherFrom) { // overridden for performance only. if (! (other instanceof IntArrayList)) { // slower super.replaceFromToWithFrom(from,to,other,otherFrom); return; } int length=to-from+1; if (length>0) { checkRangeFromTo(from, to, size()); checkRangeFromTo(otherFrom,otherFrom+length-1,other.size()); System.arraycopy(((IntArrayList) other).elements, otherFrom, elements, from, length); } } /** * Retains (keeps) only the elements in the receiver that are contained in the specified other list. * In other words, removes from the receiver all of its elements that are not contained in the * specified other list. * @param other the other list to test against. * @return <code>true</code> if the receiver changed as a result of the call. */ public boolean retainAll(AbstractIntList other) { // overridden for performance only. if (! (other instanceof IntArrayList)) return super.retainAll(other); /* There are two possibilities to do the thing a) use other.indexOf(...) b) sort other, then use other.binarySearch(...) Let's try to figure out which one is faster. Let M=size, N=other.size, then a) takes O(M*N) steps b) takes O(N*logN + M*logN) steps (sorting is O(N*logN) and binarySearch is O(logN)) Hence, if N*logN + M*logN < M*N, we use b) otherwise we use a). */ int limit = other.size()-1; int j=0; int[] theElements = elements; int mySize = size(); double N=(double) other.size(); double M=(double) mySize; if ( (N+M)*cern.jet.math.Arithmetic.log2(N) < M*N ) { // it is faster to sort other before searching in it IntArrayList sortedList = (IntArrayList) other.clone(); sortedList.quickSort(); for (int i=0; i<mySize ; i++) { if (sortedList.binarySearchFromTo(theElements[i], 0, limit) >= 0) theElements[j++]=theElements[i]; } } else { // it is faster to search in other without sorting for (int i=0; i<mySize ; i++) { if (other.indexOfFromTo(theElements[i], 0, limit) >= 0) theElements[j++]=theElements[i]; } } boolean modified = (j!=mySize); setSize(j); return modified; } /** * Reverses the elements of the receiver. * Last becomes first, second last becomes second first, and so on. */ public void reverse() { // overridden for performance only. int tmp; int limit=size/2; int j=size-1; int[] theElements = elements; for (int i=0; i<limit;) { //swap tmp=theElements[i]; theElements[i++]=theElements[j]; theElements[j--]=tmp; } } /** * Replaces the element at the specified position in the receiver with the specified element. * * @param index index of element to replace. * @param element element to be stored at the specified position. * @exception IndexOutOfBoundsException index is out of range (index * < 0 || index >= size()). */ public void set(int index, int element) { // overridden for performance only. if (index >= size || index < 0) throw new IndexOutOfBoundsException("Index: "+index+", Size: "+size); elements[index] = element; } /** * Replaces the element at the specified position in the receiver with the specified element; <b>WARNING:</b> Does not check preconditions. * Provided with invalid parameters this method may access invalid indexes without throwing any exception! * <b>You should only use this method when you are absolutely sure that the index is within bounds.</b> * Precondition (unchecked): <tt>index >= 0 && index < size()</tt>. * * @param index index of element to replace. * @param element element to be stored at the specified position. */ public void setQuick(int index, int element) { elements[index] = element; } /** * Randomly permutes the part of the receiver between <code>from</code> (inclusive) and <code>to</code> (inclusive). * @param from the index of the first element (inclusive) to be permuted. * @param to the index of the last element (inclusive) to be permuted. * @exception IndexOutOfBoundsException index is out of range (<tt>size()>0 && (from<0 || from>to || to>=size())</tt>). */ public void shuffleFromTo(int from, int to) { // overridden for performance only. if (size==0) {return;} checkRangeFromTo(from, to, size); cern.jet.random.Uniform gen = new cern.jet.random.Uniform(new cern.jet.random.engine.DRand(new java.util.Date())); int tmpElement; int[] theElements = elements; int random; for (int i=from; i<to; i++) { random = gen.nextIntFromTo(i, to); //swap(i, random) tmpElement = theElements[random]; theElements[random]=theElements[i]; theElements[i]=tmpElement; } } /** * Sorts the specified range of the receiver into ascending order. * * The sorting algorithm is dynamically chosen according to the characteristics of the data set. * Currently quicksort and countsort are considered. * Countsort is not always applicable, but if applicable, it usually outperforms quicksort by a factor of 3-4. * * <p>Best case performance: O(N). * <dt>Worst case performance: O(N^2) (a degenerated quicksort). * <dt>Best case space requirements: 0 KB. * <dt>Worst case space requirements: 40 KB. * * @param from the index of the first element (inclusive) to be sorted. * @param to the index of the last element (inclusive) to be sorted. * @exception IndexOutOfBoundsException index is out of range (<tt>size()>0 && (from<0 || from>to || to>=size())</tt>). */ public void sortFromTo(int from, int to) { /* * Computes min and max and decides on this basis. * In practice the additional overhead is very small compared to the potential gains. */ final int widthThreshold = 10000; // never consider options resulting in outrageous memory allocations. if (size==0) return; checkRangeFromTo(from, to, size); // determine minimum and maximum. int min=elements[from]; int max=elements[from]; int[] theElements = elements; for (int i=from+1; i<=to; ) { int elem = theElements[i++]; if (elem>max) max=elem; else if (elem<min) min=elem; } // try to figure out which option is fastest. double N = (double)to - (double)from + 1.0; double quickSortEstimate = N * Math.log(N)/0.6931471805599453; // O(N*log(N,base=2)) ; ln(2)=0.6931471805599453 double width = (double)max - (double)min + 1.0; double countSortEstimate = Math.max(width,N); // O(Max(width,N)) if (width < widthThreshold && countSortEstimate < quickSortEstimate) { countSortFromTo(from, to, min, max); } else { quickSortFromTo(from, to); } } /** * Trims the capacity of the receiver to be the receiver's current * size. Releases any superfluous internal memory. An application can use this operation to minimize the * storage of the receiver. */ public void trimToSize() { elements = cern.colt.Arrays.trimToCapacity(elements,size()); } }