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/*
* Copyright (C) 2002-2022 Sebastiano Vigna
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package it.unimi.dsi.fastutil.doubles;
import java.util.Collection;
import java.util.Comparator;
import java.util.Iterator;
import java.util.SortedSet;
import java.util.NoSuchElementException;
/** A type-specific AVL tree set with a fast, small-footprint implementation.
*
* The iterators provided by this class are type-specific {@link
* it.unimi.dsi.fastutil.BidirectionalIterator bidirectional iterators}.
* Moreover, the iterator returned by {@code iterator()} can be safely cast
* to a type-specific {@linkplain java.util.ListIterator list iterator}.
*/
public class DoubleAVLTreeSet extends AbstractDoubleSortedSet implements java.io.Serializable, Cloneable, DoubleSortedSet {
/** A reference to the root entry. */
protected transient Entry tree;
/** Number of elements in this set. */
protected int count;
/** The entry of the first element of this set. */
protected transient Entry firstEntry;
/** The entry of the last element of this set. */
protected transient Entry lastEntry;
/** This set's comparator, as provided in the constructor. */
protected Comparator storedComparator;
/** This set's actual comparator; it may differ from {@link #storedComparator} because it is
always a type-specific comparator, so it could be derived from the former by wrapping. */
protected transient DoubleComparator actualComparator;
private static final long serialVersionUID = -7046029254386353130L;
{
allocatePaths();
}
/** Creates a new empty tree set.
*/
public DoubleAVLTreeSet() {
tree = null;
count = 0;
}
/** Generates the comparator that will be actually used.
*
*
When a given {@link Comparator} is specified and stored in {@link
* #storedComparator}, we must check whether it is type-specific. If it is
* so, we can used directly, and we store it in {@link #actualComparator}. Otherwise,
* we adapt it using a helper static method.
*/
private void setActualComparator() {
actualComparator = DoubleComparators.asDoubleComparator(storedComparator);
}
/** Creates a new empty tree set with the given comparator.
*
* @param c a {@link Comparator} (even better, a type-specific comparator).
*/
public DoubleAVLTreeSet(final Comparator c) {
this();
storedComparator = c;
setActualComparator();
}
/** Creates a new tree set copying a given set.
*
* @param c a collection to be copied into the new tree set.
*/
public DoubleAVLTreeSet(final Collection c) {
this();
addAll(c);
}
/** Creates a new tree set copying a given sorted set (and its {@link Comparator}).
*
* @param s a {@link SortedSet} to be copied into the new tree set.
*/
public DoubleAVLTreeSet(final SortedSet s) {
this(s.comparator());
addAll(s);
}
/** Creates a new tree set copying a given type-specific collection.
*
* @param c a type-specific collection to be copied into the new tree set.
*/
public DoubleAVLTreeSet(final DoubleCollection c) {
this();
addAll(c);
}
/** Creates a new tree set copying a given type-specific sorted set (and its {@link Comparator}).
*
* @param s a type-specific sorted set to be copied into the new tree set.
*/
public DoubleAVLTreeSet(final DoubleSortedSet s) {
this(s.comparator());
addAll(s);
}
/** Creates a new tree set using elements provided by a type-specific iterator.
*
* @param i a type-specific iterator whose elements will fill the set.
*/
public DoubleAVLTreeSet(final DoubleIterator i) {
while(i.hasNext()) add(i.nextDouble());
}
/** Creates a new tree set using elements provided by an iterator.
*
* @param i an iterator whose elements will fill the set.
*/
public DoubleAVLTreeSet(final Iterator i) {
this(DoubleIterators.asDoubleIterator(i));
}
/** Creates a new tree set and fills it with the elements of a given array using a given {@link Comparator}.
*
* @param a an array whose elements will be used to fill the set.
* @param offset the first element to use.
* @param length the number of elements to use.
* @param c a {@link Comparator} (even better, a type-specific comparator).
*/
public DoubleAVLTreeSet(final double[] a, final int offset, final int length, final Comparator c) {
this(c);
DoubleArrays.ensureOffsetLength(a, offset, length);
for(int i = 0; i < length; i++) add(a[offset + i]);
}
/** Creates a new tree set and fills it with the elements of a given array.
*
* @param a an array whose elements will be used to fill the set.
* @param offset the first element to use.
* @param length the number of elements to use.
*/
public DoubleAVLTreeSet(final double[] a, final int offset, final int length) {
this(a, offset, length, null);
}
/** Creates a new tree set copying the elements of an array.
*
* @param a an array to be copied into the new tree set.
*/
public DoubleAVLTreeSet(final double[] a) {
this();
int i = a.length;
while(i-- != 0) add(a[i]);
}
/** Creates a new tree set copying the elements of an array using a given {@link Comparator}.
*
* @param a an array to be copied into the new tree set.
* @param c a {@link Comparator} (even better, a type-specific comparator).
*/
public DoubleAVLTreeSet(final double[] a, final Comparator c) {
this(c);
int i = a.length;
while(i-- != 0) add(a[i]);
}
/*
* The following methods implements some basic building blocks used by
* all accessors. They are (and should be maintained) identical to those used in AVLTreeMap.drv.
*
* The add()/remove() code is derived from Ben Pfaff's GNU libavl
* (https://adtinfo.org/). If you want to understand what's
* going on, you should have a look at the literate code contained therein
* first.
*/
/** Compares two keys in the right way.
*
* This method uses the {@link #actualComparator} if it is non-{@code null}.
* Otherwise, it resorts to primitive type comparisons or to {@link Comparable#compareTo(Object) compareTo()}.
*
* @param k1 the first key.
* @param k2 the second key.
* @return a number smaller than, equal to or greater than 0, as usual
* (i.e., when k1 < k2, k1 = k2 or k1 > k2, respectively).
*/
final int compare(final double k1, final double k2) {
return actualComparator == null ? ( Double.compare((k1),(k2)) ) : actualComparator.compare(k1, k2);
}
/** Returns the entry corresponding to the given key, if it is in the tree; {@code null}, otherwise.
*
* @param k the key to search for.
* @return the corresponding entry, or {@code null} if no entry with the given key exists.
*/
private Entry findKey(final double k) {
Entry e = tree;
int cmp;
while (e != null && (cmp = compare(k, e.key)) != 0)
e = cmp < 0 ? e.left() : e.right();
return e;
}
/** Locates a key.
*
* @param k a key.
* @return the last entry on a search for the given key; this will be
* the given key, if it present; otherwise, it will be either the smallest greater key or the greatest smaller key.
*/
final Entry locateKey(final double k) {
Entry e = tree, last = tree;
int cmp = 0;
while (e != null && (cmp = compare(k, e.key)) != 0) {
last = e;
e = cmp < 0 ? e.left() : e.right();
}
return cmp == 0 ? e : last;
}
/** This vector remembers the path followed during the current insertion. It suffices for
about 232 entries. */
private transient boolean dirPath[];
private void allocatePaths() {
dirPath = new boolean[48];
}
@Override
public boolean add(final double k) {
if (tree == null) { // The case of the empty tree is treated separately.
count++;
tree = lastEntry = firstEntry = new Entry (k);
}
else {
Entry p = tree, q = null, y = tree, z = null, e = null, w = null;
int cmp, i = 0;
while(true) {
if ((cmp = compare(k, p.key)) == 0) return false;
if (p.balance() != 0) {
i = 0;
z = q;
y = p;
}
if (dirPath[i++] = cmp > 0) {
if (p.succ()) {
count++;
e = new Entry (k);
if (p.right == null) lastEntry = e;
e.left = p;
e.right = p.right;
p.right(e);
break;
}
q = p;
p = p.right;
}
else {
if (p.pred()) {
count++;
e = new Entry (k);
if (p.left == null) firstEntry = e;
e.right = p;
e.left = p.left;
p.left(e);
break;
}
q = p;
p = p.left;
}
}
p = y;
i = 0;
while(p != e) {
if (dirPath[i]) p.incBalance();
else p.decBalance();
p = dirPath[i++] ? p.right : p.left;
}
if (y.balance() == -2) {
Entry x = y.left;
if (x.balance() == -1) {
w = x;
if (x.succ()) {
x.succ(false);
y.pred(x);
}
else y.left = x.right;
x.right = y;
x.balance(0);
y.balance(0);
}
else {
assert x.balance() == 1;
w = x.right;
x.right = w.left;
w.left = x;
y.left = w.right;
w.right = y;
if (w.balance() == -1) {
x.balance(0);
y.balance(1);
}
else if (w.balance() == 0) {
x.balance(0);
y.balance(0);
}
else {
x.balance(-1);
y.balance(0);
}
w.balance(0);
if (w.pred()) {
x.succ(w);
w.pred(false);
}
if (w.succ()) {
y.pred(w);
w.succ(false);
}
}
}
else if (y.balance() == +2) {
Entry x = y.right;
if (x.balance() == 1) {
w = x;
if (x.pred()) {
x.pred(false);
y.succ(x);
}
else y.right = x.left;
x.left = y;
x.balance(0);
y.balance(0);
}
else {
assert x.balance() == -1;
w = x.left;
x.left = w.right;
w.right = x;
y.right = w.left;
w.left = y;
if (w.balance() == 1) {
x.balance(0);
y.balance(-1);
}
else if (w.balance() == 0) {
x.balance(0);
y.balance(0);
}
else {
x.balance(1);
y.balance(0);
}
w.balance(0);
if (w.pred()) {
y.succ(w);
w.pred(false);
}
if (w.succ()) {
x.pred(w);
w.succ(false);
}
}
}
else return true;
if (z == null) tree = w;
else {
if (z.left == y) z.left = w;
else z.right = w;
}
}
return true;
}
/** Finds the parent of an entry.
*
* @param e a node of the tree.
* @return the parent of the given node, or {@code null} for the root.
*/
private Entry parent(final Entry e) {
if (e == tree) return null;
Entry x, y, p;
x = y = e;
while(true) {
if (y.succ()) {
p = y.right;
if (p == null || p.left != e) {
while(! x.pred()) x = x.left;
p = x.left;
}
return p;
}
else if (x.pred()) {
p = x.left;
if (p == null || p.right != e) {
while(! y.succ()) y = y.right;
p = y.right;
}
return p;
}
x = x.left;
y = y.right;
}
}
@Override
public boolean remove(final double k) {
if (tree == null) return false;
int cmp;
Entry p = tree, q = null;
boolean dir = false;
final double kk = k;
while(true) {
if ((cmp = compare(kk, p.key)) == 0) break;
else if (dir = cmp > 0) {
q = p;
if ((p = p.right()) == null) return false;
}
else {
q = p;
if ((p = p.left()) == null) return false;
}
}
if (p.left == null) firstEntry = p.next();
if (p.right == null) lastEntry = p.prev();
if (p.succ()) {
if (p.pred()) {
if (q != null) {
if (dir) q.succ(p.right);
else q.pred(p.left);
}
else tree = dir ? p.right : p.left;
}
else {
p.prev().right = p.right;
if (q != null) {
if (dir) q.right = p.left;
else q.left = p.left;
}
else tree = p.left;
}
}
else {
Entry r = p.right;
if (r.pred()) {
r.left = p.left;
r.pred(p.pred());
if (! r.pred()) r.prev().right = r;
if (q != null) {
if (dir) q.right = r;
else q.left = r;
}
else tree = r;
r.balance(p.balance());
q = r;
dir = true;
}
else {
Entry s;
while(true) {
s = r.left;
if (s.pred()) break;
r = s;
}
if (s.succ()) r.pred(s);
else r.left = s.right;
s.left = p.left;
if (! p.pred()) {
p.prev().right = s;
s.pred(false);
}
s.right = p.right;
s.succ(false);
if (q != null) {
if (dir) q.right = s;
else q.left = s;
}
else tree = s;
s.balance(p.balance());
q = r;
dir = false;
}
}
Entry y;
while(q != null) {
y = q;
q = parent(y);
if (! dir) {
dir = q != null && q.left != y;
y.incBalance();
if (y.balance() == 1) break;
else if (y.balance() == 2) {
Entry x = y.right;
assert x != null;
if (x.balance() == -1) {
Entry w;
assert x.balance() == -1;
w = x.left;
x.left = w.right;
w.right = x;
y.right = w.left;
w.left = y;
if (w.balance() == 1) {
x.balance(0);
y.balance(-1);
}
else if (w.balance() == 0) {
x.balance(0);
y.balance(0);
}
else {
assert w.balance() == -1;
x.balance(1);
y.balance(0);
}
w.balance(0);
if (w.pred()) {
y.succ(w);
w.pred(false);
}
if (w.succ()) {
x.pred(w);
w.succ(false);
}
if (q != null) {
if (dir) q.right = w;
else q.left = w;
}
else tree = w;
}
else {
if (q != null) {
if (dir) q.right = x;
else q.left = x;
}
else tree = x;
if (x.balance() == 0) {
y.right = x.left;
x.left = y;
x.balance(-1);
y.balance(+1);
break;
}
assert x.balance() == 1;
if (x.pred()) {
y.succ(true);
x.pred(false);
}
else y.right = x.left;
x.left = y;
y.balance(0);
x.balance(0);
}
}
}
else {
dir = q != null && q.left != y;
y.decBalance();
if (y.balance() == -1) break;
else if (y.balance() == -2) {
Entry x = y.left;
assert x != null;
if (x.balance() == 1) {
Entry w;
assert x.balance() == 1;
w = x.right;
x.right = w.left;
w.left = x;
y.left = w.right;
w.right = y;
if (w.balance() == -1) {
x.balance(0);
y.balance(1);
}
else if (w.balance() == 0) {
x.balance(0);
y.balance(0);
}
else {
assert w.balance() == 1;
x.balance(-1);
y.balance(0);
}
w.balance(0);
if (w.pred()) {
x.succ(w);
w.pred(false);
}
if (w.succ()) {
y.pred(w);
w.succ(false);
}
if (q != null) {
if (dir) q.right = w;
else q.left = w;
}
else tree = w;
}
else {
if (q != null) {
if (dir) q.right = x;
else q.left = x;
}
else tree = x;
if (x.balance() == 0) {
y.left = x.right;
x.right = y;
x.balance(+1);
y.balance(-1);
break;
}
assert x.balance() == -1;
if (x.succ()) {
y.pred(true);
x.succ(false);
}
else y.left = x.right;
x.right = y;
y.balance(0);
x.balance(0);
}
}
}
}
count--;
return true;
}
@Override
public boolean contains(final double k) {
return findKey( k) != null;
}
@Override
public void clear() {
count = 0;
tree = null;
firstEntry = lastEntry = null;
}
/** This class represent an entry in a tree set.
*
*
We use the only "metadata", i.e., {@link Entry#info}, to store
* information about balance, predecessor status and successor status.
*
*
Note that since the class is recursive, it can be
* considered equivalently a tree.
*/
private static final class Entry implements Cloneable {
/** If the bit in this mask is true, {@link #right} points to a successor. */
private static final int SUCC_MASK = 1 << 31;
/** If the bit in this mask is true, {@link #left} points to a predecessor. */
private static final int PRED_MASK = 1 << 30;
/** The bits in this mask hold the node balance info. You can get it just by casting to byte. */
private static final int BALANCE_MASK = 0xFF;
/** The key of this entry. */
double key;
/** The pointers to the left and right subtrees. */
Entry left, right;
/** This integers holds different information in different bits (see {@link #SUCC_MASK}, {@link #PRED_MASK} and {@link #BALANCE_MASK}). */
int info;
Entry() {}
/** Creates a new entry with the given key.
*
* @param k a key.
*/
Entry(final double k) {
this.key = k;
info = SUCC_MASK | PRED_MASK;
}
/** Returns the left subtree.
*
* @return the left subtree ({@code null} if the left
* subtree is empty).
*/
Entry left() {
return (info & PRED_MASK) != 0 ? null : left;
}
/** Returns the right subtree.
*
* @return the right subtree ({@code null} if the right
* subtree is empty).
*/
Entry right() {
return (info & SUCC_MASK) != 0 ? null : right;
}
/** Checks whether the left pointer is really a predecessor.
* @return true if the left pointer is a predecessor.
*/
boolean pred() {
return (info & PRED_MASK) != 0;
}
/** Checks whether the right pointer is really a successor.
* @return true if the right pointer is a successor.
*/
boolean succ() {
return (info & SUCC_MASK) != 0;
}
/** Sets whether the left pointer is really a predecessor.
* @param pred if true then the left pointer will be considered a predecessor.
*/
void pred(final boolean pred) {
if (pred) info |= PRED_MASK;
else info &= ~PRED_MASK;
}
/** Sets whether the right pointer is really a successor.
* @param succ if true then the right pointer will be considered a successor.
*/
void succ(final boolean succ) {
if (succ) info |= SUCC_MASK;
else info &= ~SUCC_MASK;
}
/** Sets the left pointer to a predecessor.
* @param pred the predecessr.
*/
void pred(final Entry pred) {
info |= PRED_MASK;
left = pred;
}
/** Sets the right pointer to a successor.
* @param succ the successor.
*/
void succ(final Entry succ) {
info |= SUCC_MASK;
right = succ;
}
/** Sets the left pointer to the given subtree.
* @param left the new left subtree.
*/
void left(final Entry left) {
info &= ~PRED_MASK;
this.left = left;
}
/** Sets the right pointer to the given subtree.
* @param right the new right subtree.
*/
void right(final Entry right) {
info &= ~SUCC_MASK;
this.right = right;
}
/** Returns the current level of the node.
* @return the current level of this node.
*/
int balance() {
return (byte)info;
}
/** Sets the level of this node.
* @param level the new level of this node.
*/
void balance(int level) {
info &= ~BALANCE_MASK;
info |= (level & BALANCE_MASK);
}
/** Increments the level of this node. */
void incBalance() {
info = info & ~BALANCE_MASK | ((byte)info + 1) & 0xFF;
}
/** Decrements the level of this node. */
protected void decBalance() {
info = info & ~BALANCE_MASK | ((byte)info - 1) & 0xFF;
}
/** Computes the next entry in the set order.
*
* @return the next entry ({@code null}) if this is the last entry).
*/
Entry next() {
Entry next = this.right;
if ((info & SUCC_MASK) == 0) while ((next.info & PRED_MASK) == 0) next = next.left;
return next;
}
/** Computes the previous entry in the set order.
*
* @return the previous entry ({@code null}) if this is the first entry).
*/
Entry prev() {
Entry prev = this.left;
if ((info & PRED_MASK) == 0) while ((prev.info & SUCC_MASK) == 0) prev = prev.right;
return prev;
}
@Override
public Entry clone() {
Entry c;
try {
c = (Entry )super.clone();
}
catch(CloneNotSupportedException cantHappen) {
throw new InternalError();
}
c.key = key;
c.info = info;
return c;
}
@Override
public boolean equals(final Object o) {
if (!(o instanceof Entry)) return false;
Entry e = (Entry )o;
return ( Double.doubleToLongBits(key) == Double.doubleToLongBits(e.key) );
}
@Override
public int hashCode() {
return it.unimi.dsi.fastutil.HashCommon.double2int(key);
}
@Override
public String toString() {
return String.valueOf(key);
}
/*
public void prettyPrint() {
prettyPrint(0);
}
public void prettyPrint(int level) {
if (pred()) {
for (int i = 0; i < level; i++)
System.err.print(" ");
System.err.println("pred: " + left);
}
else if (left != null)
left.prettyPrint(level +1);
for (int i = 0; i < level; i++)
System.err.print(" ");
System.err.println(key + " (" + level() + ")");
if (succ()) {
for (int i = 0; i < level; i++)
System.err.print(" ");
System.err.println("succ: " + right);
}
else if (right != null)
right.prettyPrint(level + 1);
}
*/
}
/*
public void prettyPrint() {
System.err.println("size: " + count);
if (tree != null) tree.prettyPrint();
}
*/
@Override
public int size() {
return count;
}
@Override
public boolean isEmpty() {
return count == 0;
}
@Override
public double firstDouble() {
if (tree == null) throw new NoSuchElementException();
return firstEntry.key;
}
@Override
public double lastDouble() {
if (tree == null) throw new NoSuchElementException();
return lastEntry.key;
}
/** An iterator on the whole range.
*
*
This class can iterate in both directions on a threaded tree.
*/
private class SetIterator implements DoubleListIterator {
/** The entry that will be returned by the next call to {@link java.util.ListIterator#previous()} (or {@code null} if no previous entry exists). */
Entry prev;
/** The entry that will be returned by the next call to {@link java.util.ListIterator#next()} (or {@code null} if no next entry exists). */
Entry next;
/** The last entry that was returned (or {@code null} if we did not iterate or used {@link #remove()}). */
Entry curr;
/** The current index (in the sense of a {@link java.util.ListIterator}). Note that this value is not meaningful when this {@link SetIterator} has been created using the nonempty constructor.*/
int index = 0;
SetIterator() {
next = firstEntry;
}
SetIterator(final double k) {
if ((next = locateKey(k)) != null) {
if (compare(next.key, k) <= 0) {
prev = next;
next = next.next();
}
else prev = next.prev();
}
}
@Override
public boolean hasNext() { return next != null; }
@Override
public boolean hasPrevious() { return prev != null; }
void updateNext() { next = next.next(); }
Entry nextEntry() {
if (! hasNext()) throw new NoSuchElementException();
curr = prev = next;
index++;
updateNext();
return curr;
}
@Override
public double nextDouble() { return nextEntry().key; }
@Override
public double previousDouble() { return previousEntry().key; }
void updatePrevious() { prev = prev.prev(); }
Entry previousEntry() {
if (! hasPrevious()) throw new NoSuchElementException();
curr = next = prev;
index--;
updatePrevious();
return curr;
}
@Override
public int nextIndex() { return index; }
@Override
public int previousIndex() { return index - 1; }
@Override
public void remove() {
if (curr == null) throw new IllegalStateException();
/* If the last operation was a next(), we are removing an entry that preceeds
the current index, and thus we must decrement it. */
if (curr == prev) index--;
next = prev = curr;
updatePrevious();
updateNext();
DoubleAVLTreeSet.this.remove(curr.key);
curr = null;
}
@Override
public void jump(final double fromElement) {
if ((next = locateKey(fromElement)) != null) {
if (compare(next.key, fromElement) <= 0) {
prev = next;
next = next.next();
}
else prev = next.prev();
}
}
}
@Override
public DoubleBidirectionalIterator iterator() { return new SetIterator(); }
@Override
public DoubleBidirectionalIterator iterator(final double from) { return new SetIterator(from); }
@Override
public DoubleComparator comparator() { return actualComparator; }
@Override
public DoubleSortedSet headSet(final double to) { return new Subset((0), true, to, false); }
@Override
public DoubleSortedSet tailSet(final double from) { return new Subset(from, false, (0), true); }
@Override
public DoubleSortedSet subSet(final double from, final double to) { return new Subset(from, false, to, false); }
/** A subset with given range.
*
*
This class represents a subset. One has to specify the left/right
* limits (which can be set to -∞ or ∞). Since the subset is a
* view on the set, at a given moment it could happen that the limits of
* the range are not any longer in the main set. Thus, things such as
* {@link java.util.SortedSet#first()} or {@link java.util.SortedSet#size()} must be always computed
* on-the-fly.
*/
private final class Subset extends AbstractDoubleSortedSet implements java.io.Serializable, DoubleSortedSet {
private static final long serialVersionUID = -7046029254386353129L;
/** The start of the subset range, unless {@link #bottom} is true. */
double from;
/** The end of the subset range, unless {@link #top} is true. */
double to;
/** If true, the subset range starts from -∞. */
boolean bottom;
/** If true, the subset range goes to ∞. */
boolean top;
/** Creates a new subset with given key range.
*
* @param from the start of the subset range.
* @param bottom if true, the first parameter is ignored and the range starts from -∞.
* @param to the end of the subset range.
* @param top if true, the third parameter is ignored and the range goes to ∞.
*/
public Subset(final double from, final boolean bottom, final double to, final boolean top) {
if (! bottom && ! top && DoubleAVLTreeSet.this.compare(from, to) > 0) throw new IllegalArgumentException("Start element (" + from + ") is larger than end element (" + to + ")");
this.from = from;
this.bottom = bottom;
this.to = to;
this.top = top;
}
@Override
public void clear() {
final SubsetIterator i = new SubsetIterator();
while(i.hasNext()) {
i.nextDouble();
i.remove();
}
}
/** Checks whether a key is in the subset range.
* @param k a key.
* @return true if is the key is in the subset range.
*/
final boolean in(final double k) {
return (bottom || DoubleAVLTreeSet.this.compare(k, from) >= 0) &&
(top || DoubleAVLTreeSet.this.compare(k, to) < 0);
}
@Override
public boolean contains(final double k) {
return in( k) && DoubleAVLTreeSet.this.contains(k);
}
@Override
public boolean add(final double k) {
if (! in(k)) throw new IllegalArgumentException("Element (" + k + ") out of range [" + (bottom ? "-" : String.valueOf(from)) + ", " + (top ? "-" : String.valueOf(to)) + ")");
return DoubleAVLTreeSet.this.add(k);
}
@Override
public boolean remove(final double k) {
if (! in( k)) return false;
return DoubleAVLTreeSet.this.remove(k);
}
@Override
public int size() {
final SubsetIterator i = new SubsetIterator();
int n = 0;
while(i.hasNext()) {
n++;
i.nextDouble();
}
return n;
}
@Override
public boolean isEmpty() { return ! new SubsetIterator().hasNext(); }
@Override
public DoubleComparator comparator() { return actualComparator; }
@Override
public DoubleBidirectionalIterator iterator() { return new SubsetIterator(); }
@Override
public DoubleBidirectionalIterator iterator(final double from) { return new SubsetIterator(from); }
@Override
public DoubleSortedSet headSet(final double to) {
if (top) return new Subset(from, bottom, to, false);
return compare(to, this.to) < 0 ? new Subset(from, bottom, to, false) : this;
}
@Override
public DoubleSortedSet tailSet(final double from) {
if (bottom) return new Subset(from, false, to, top);
return compare(from, this.from) > 0 ? new Subset(from, false, to, top) : this;
}
@Override
public DoubleSortedSet subSet(double from, double to) {
if (top && bottom) return new Subset(from, false, to, false);
if (! top) to = compare(to, this.to) < 0 ? to : this.to;
if (! bottom) from = compare(from, this.from) > 0 ? from : this.from;
if (! top && ! bottom && from == this.from && to == this.to) return this;
return new Subset(from, false, to, false);
}
/** Locates the first entry.
*
* @return the first entry of this subset, or {@code null} if the subset is empty.
*/
public DoubleAVLTreeSet.Entry firstEntry() {
if (tree == null) return null;
// If this subset goes to -infinity, we return the main set first entry; otherwise, we locate the start of the set.
DoubleAVLTreeSet.Entry e;
if (bottom) e = firstEntry;
else {
e = locateKey(from);
// If we find either the start or something greater we're OK.
if (compare(e.key, from) < 0) e = e.next();
}
// Finally, if this subset doesn't go to infinity, we check that the resulting key isn't greater than the end.
if (e == null || ! top && compare(e.key, to) >= 0) return null;
return e;
}
/** Locates the last entry.
*
* @return the last entry of this subset, or {@code null} if the subset is empty.
*/
public DoubleAVLTreeSet.Entry lastEntry() {
if (tree == null) return null;
// If this subset goes to infinity, we return the main set last entry; otherwise, we locate the end of the set.
DoubleAVLTreeSet.Entry e;
if (top) e = lastEntry;
else {
e = locateKey(to);
// If we find something smaller than the end we're OK.
if (compare(e.key, to) >= 0) e = e.prev();
}
// Finally, if this subset doesn't go to -infinity, we check that the resulting key isn't smaller than the start.
if (e == null || ! bottom && compare(e.key, from) < 0) return null;
return e;
}
@Override
public double firstDouble() {
DoubleAVLTreeSet.Entry e = firstEntry();
if (e == null) throw new NoSuchElementException();
return e.key;
}
@Override
public double lastDouble() {
DoubleAVLTreeSet.Entry e = lastEntry();
if (e == null) throw new NoSuchElementException();
return e.key;
}
/** An iterator for subranges.
*
*
This class inherits from {@link SetIterator}, but overrides the methods that
* update the pointer after a {@link java.util.ListIterator#next()} or {@link java.util.ListIterator#previous()}. If we would
* move out of the range of the subset we just overwrite the next or previous
* entry with {@code null}.
*/
private final class SubsetIterator extends SetIterator {
SubsetIterator() {
next = firstEntry();
}
SubsetIterator(final double k) {
this();
if (next != null) {
if (! bottom && compare(k, next.key) < 0) prev = null;
else if (! top && compare(k, (prev = lastEntry()).key) >= 0) next = null;
else {
next = locateKey(k);
if (compare(next.key, k) <= 0) {
prev = next;
next = next.next();
}
else prev = next.prev();
}
}
}
@Override
void updatePrevious() {
prev = prev.prev();
if (! bottom && prev != null && DoubleAVLTreeSet.this.compare(prev.key, from) < 0) prev = null;
}
@Override
void updateNext() {
next = next.next();
if (! top && next != null && DoubleAVLTreeSet.this.compare(next.key, to) >= 0) next = null;
}
@Override
public void jump(final double fromElement) {
next = firstEntry();
if (next != null) {
if (! bottom && compare(fromElement, next.key) < 0) prev = null;
else if (! top && compare(fromElement, (prev = lastEntry()).key) >= 0) next = null;
else {
next = locateKey(fromElement);
if (compare(next.key, fromElement) <= 0) {
prev = next;
next = next.next();
}
else prev = next.prev();
}
}
}
}
}
/** Returns a deep copy of this tree set.
*
*
This method performs a deep copy of this tree set; the data stored in the
* set, however, is not cloned. Note that this makes a difference only for object keys.
*
* @return a deep copy of this tree set.
*/
@Override
public Object clone() {
DoubleAVLTreeSet c;
try {
c = (DoubleAVLTreeSet )super.clone();
}
catch(CloneNotSupportedException cantHappen) {
throw new InternalError();
}
c.allocatePaths();
if (count != 0) {
// Also this apparently unfathomable code is derived from GNU libavl.
Entry e, p, q, rp = new Entry (), rq = new Entry ();
p = rp;
rp.left(tree);
q = rq;
rq.pred(null);
while(true) {
if (! p.pred()) {
e = p.left.clone();
e.pred(q.left);
e.succ(q);
q.left(e);
p = p.left;
q = q.left;
}
else {
while(p.succ()) {
p = p.right;
if (p == null) {
q.right = null;
c.tree = rq.left;
c.firstEntry = c.tree;
while(c.firstEntry.left != null) c.firstEntry = c.firstEntry.left;
c.lastEntry = c.tree;
while(c.lastEntry.right != null) c.lastEntry = c.lastEntry.right;
return c;
}
q = q.right;
}
p = p.right;
q = q.right;
}
if (! p.succ()) {
e = p.right.clone();
e.succ(q.right);
e.pred(q);
q.right(e);
}
}
}
return c;
}
private void writeObject(java.io.ObjectOutputStream s) throws java.io.IOException {
int n = count;
SetIterator i = new SetIterator();
s.defaultWriteObject();
while(n-- != 0) s.writeDouble(i.nextDouble());
}
/** Reads the given number of entries from the input stream, returning the corresponding tree.
*
* @param s the input stream.
* @param n the (positive) number of entries to read.
* @param pred the entry containing the key that preceeds the first key in the tree.
* @param succ the entry containing the key that follows the last key in the tree.
*/
private Entry readTree(final java.io.ObjectInputStream s, final int n, final Entry pred, final Entry succ) throws java.io.IOException, ClassNotFoundException {
if (n == 1) {
final Entry top = new Entry ( s.readDouble());
top.pred(pred);
top.succ(succ);
return top;
}
if (n == 2) {
/* We handle separately this case so that recursion will
*always* be on nonempty subtrees. */
final Entry top = new Entry ( s.readDouble());
top.right(new Entry ( s.readDouble()));
top.right.pred(top);
top.balance(1);
top.pred(pred);
top.right.succ(succ);
return top;
}
// The right subtree is the largest one.
final int rightN = n / 2, leftN = n - rightN - 1;
final Entry top = new Entry ();
top.left(readTree(s, leftN, pred, top));
top.key = s.readDouble();
top.right(readTree(s, rightN, top, succ));
if (n == (n & -n)) top.balance(1); // Quick test for determining whether n is a power of 2.
return top;
}
private void readObject(java.io.ObjectInputStream s) throws java.io.IOException, ClassNotFoundException {
s.defaultReadObject();
/* The storedComparator is now correctly set, but we must restore
on-the-fly the actualComparator. */
setActualComparator();
allocatePaths();
if (count != 0) {
tree = readTree(s, count, null, null);
Entry e;
e = tree;
while(e.left() != null) e = e.left();
firstEntry = e;
e = tree;
while(e.right() != null) e = e.right();
lastEntry = e;
}
}
}