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Java Source Code / Java Documentation  » 6.0 JDK Core » Collections Jar Zip Logging regex » java.util 
Source Cross Referenced  Class Diagram Java Document (Java Doc) 


        /*
         * Copyright 1999-2007 Sun Microsystems, Inc.  All Rights Reserved.
         * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
         *
         * This code is free software; you can redistribute it and/or modify it
         * under the terms of the GNU General Public License version 2 only, as
         * published by the Free Software Foundation.  Sun designates this
         * particular file as subject to the "Classpath" exception as provided
         * by Sun in the LICENSE file that accompanied this code.
         *
         * This code is distributed in the hope that it will be useful, but WITHOUT
         * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
         * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
         * version 2 for more details (a copy is included in the LICENSE file that
         * accompanied this code).
         *
         * You should have received a copy of the GNU General Public License version
         * 2 along with this work; if not, write to the Free Software Foundation,
         * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
         *
         * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
         * CA 95054 USA or visit www.sun.com if you need additional information or
         * have any questions.
         */

        package java.util;

        import java.util.Date;

        /**
         * A facility for threads to schedule tasks for future execution in a
         * background thread.  Tasks may be scheduled for one-time execution, or for
         * repeated execution at regular intervals.
         *
         * <p>Corresponding to each <tt>Timer</tt> object is a single background
         * thread that is used to execute all of the timer's tasks, sequentially.
         * Timer tasks should complete quickly.  If a timer task takes excessive time
         * to complete, it "hogs" the timer's task execution thread.  This can, in
         * turn, delay the execution of subsequent tasks, which may "bunch up" and
         * execute in rapid succession when (and if) the offending task finally
         * completes.
         *
         * <p>After the last live reference to a <tt>Timer</tt> object goes away
         * <i>and</i> all outstanding tasks have completed execution, the timer's task
         * execution thread terminates gracefully (and becomes subject to garbage
         * collection).  However, this can take arbitrarily long to occur.  By
         * default, the task execution thread does not run as a <i>daemon thread</i>,
         * so it is capable of keeping an application from terminating.  If a caller
         * wants to terminate a timer's task execution thread rapidly, the caller
         * should invoke the timer's <tt>cancel</tt> method.
         *
         * <p>If the timer's task execution thread terminates unexpectedly, for
         * example, because its <tt>stop</tt> method is invoked, any further
         * attempt to schedule a task on the timer will result in an
         * <tt>IllegalStateException</tt>, as if the timer's <tt>cancel</tt>
         * method had been invoked.
         *
         * <p>This class is thread-safe: multiple threads can share a single
         * <tt>Timer</tt> object without the need for external synchronization.
         *
         * <p>This class does <i>not</i> offer real-time guarantees: it schedules
         * tasks using the <tt>Object.wait(long)</tt> method.
         *
         * <p>Java 5.0 introduced the {@code java.util.concurrent} package and
         * one of the concurrency utilities therein is the {@link
         * java.util.concurrent.ScheduledThreadPoolExecutor
         * ScheduledThreadPoolExecutor} which is a thread pool for repeatedly
         * executing tasks at a given rate or delay.  It is effectively a more
         * versatile replacement for the {@code Timer}/{@code TimerTask}
         * combination, as it allows multiple service threads, accepts various
         * time units, and doesn't require subclassing {@code TimerTask} (just
         * implement {@code Runnable}).  Configuring {@code
         * ScheduledThreadPoolExecutor} with one thread makes it equivalent to
         * {@code Timer}.
         *
         * <p>Implementation note: This class scales to large numbers of concurrently
         * scheduled tasks (thousands should present no problem).  Internally,
         * it uses a binary heap to represent its task queue, so the cost to schedule
         * a task is O(log n), where n is the number of concurrently scheduled tasks.
         *
         * <p>Implementation note: All constructors start a timer thread.
         *
         * @author  Josh Bloch
         * @version 1.28, 06/27/07
         * @see     TimerTask
         * @see     Object#wait(long)
         * @since   1.3
         */

        public class Timer {
            /**
             * The timer task queue.  This data structure is shared with the timer
             * thread.  The timer produces tasks, via its various schedule calls,
             * and the timer thread consumes, executing timer tasks as appropriate,
             * and removing them from the queue when they're obsolete.
             */
            private TaskQueue queue = new TaskQueue();

            /**
             * The timer thread.
             */
            private TimerThread thread = new TimerThread(queue);

            /**
             * This object causes the timer's task execution thread to exit
             * gracefully when there are no live references to the Timer object and no
             * tasks in the timer queue.  It is used in preference to a finalizer on
             * Timer as such a finalizer would be susceptible to a subclass's
             * finalizer forgetting to call it.
             */
            private Object threadReaper = new Object() {
                protected void finalize() throws Throwable {
                    synchronized (queue) {
                        thread.newTasksMayBeScheduled = false;
                        queue.notify(); // In case queue is empty.
                    }
                }
            };

            /**
             * This ID is used to generate thread names.  (It could be replaced
             * by an AtomicInteger as soon as they become available.)
             */
            private static int nextSerialNumber = 0;

            private static synchronized int serialNumber() {
                return nextSerialNumber++;
            }

            /**
             * Creates a new timer.  The associated thread does <i>not</i>
             * {@linkplain Thread#setDaemon run as a daemon}.
             */
            public Timer() {
                this ("Timer-" + serialNumber());
            }

            /**
             * Creates a new timer whose associated thread may be specified to
             * {@linkplain Thread#setDaemon run as a daemon}.
             * A daemon thread is called for if the timer will be used to
             * schedule repeating "maintenance activities", which must be
             * performed as long as the application is running, but should not
             * prolong the lifetime of the application.
             *
             * @param isDaemon true if the associated thread should run as a daemon.
             */
            public Timer(boolean isDaemon) {
                this ("Timer-" + serialNumber(), isDaemon);
            }

            /**
             * Creates a new timer whose associated thread has the specified name.
             * The associated thread does <i>not</i>
             * {@linkplain Thread#setDaemon run as a daemon}.
             *
             * @param name the name of the associated thread
             * @throws NullPointerException if name is null
             * @since 1.5
             */
            public Timer(String name) {
                thread.setName(name);
                thread.start();
            }

            /**
             * Creates a new timer whose associated thread has the specified name,
             * and may be specified to
             * {@linkplain Thread#setDaemon run as a daemon}.
             *
             * @param name the name of the associated thread
             * @param isDaemon true if the associated thread should run as a daemon
             * @throws NullPointerException if name is null
             * @since 1.5
             */
            public Timer(String name, boolean isDaemon) {
                thread.setName(name);
                thread.setDaemon(isDaemon);
                thread.start();
            }

            /**
             * Schedules the specified task for execution after the specified delay.
             *
             * @param task  task to be scheduled.
             * @param delay delay in milliseconds before task is to be executed.
             * @throws IllegalArgumentException if <tt>delay</tt> is negative, or
             *         <tt>delay + System.currentTimeMillis()</tt> is negative.
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void schedule(TimerTask task, long delay) {
                if (delay < 0)
                    throw new IllegalArgumentException("Negative delay.");
                sched(task, System.currentTimeMillis() + delay, 0);
            }

            /**
             * Schedules the specified task for execution at the specified time.  If
             * the time is in the past, the task is scheduled for immediate execution.
             *
             * @param task task to be scheduled.
             * @param time time at which task is to be executed.
             * @throws IllegalArgumentException if <tt>time.getTime()</tt> is negative.
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void schedule(TimerTask task, Date time) {
                sched(task, time.getTime(), 0);
            }

            /**
             * Schedules the specified task for repeated <i>fixed-delay execution</i>,
             * beginning after the specified delay.  Subsequent executions take place
             * at approximately regular intervals separated by the specified period.
             *
             * <p>In fixed-delay execution, each execution is scheduled relative to
             * the actual execution time of the previous execution.  If an execution
             * is delayed for any reason (such as garbage collection or other
             * background activity), subsequent executions will be delayed as well.
             * In the long run, the frequency of execution will generally be slightly
             * lower than the reciprocal of the specified period (assuming the system
             * clock underlying <tt>Object.wait(long)</tt> is accurate).
             *
             * <p>Fixed-delay execution is appropriate for recurring activities
             * that require "smoothness."  In other words, it is appropriate for
             * activities where it is more important to keep the frequency accurate
             * in the short run than in the long run.  This includes most animation
             * tasks, such as blinking a cursor at regular intervals.  It also includes
             * tasks wherein regular activity is performed in response to human
             * input, such as automatically repeating a character as long as a key
             * is held down.
             *
             * @param task   task to be scheduled.
             * @param delay  delay in milliseconds before task is to be executed.
             * @param period time in milliseconds between successive task executions.
             * @throws IllegalArgumentException if {@code delay < 0}, or
             *         {@code delay + System.currentTimeMillis() < 0}, or
             *         {@code period <= 0}
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void schedule(TimerTask task, long delay, long period) {
                if (delay < 0)
                    throw new IllegalArgumentException("Negative delay.");
                if (period <= 0)
                    throw new IllegalArgumentException("Non-positive period.");
                sched(task, System.currentTimeMillis() + delay, -period);
            }

            /**
             * Schedules the specified task for repeated <i>fixed-delay execution</i>,
             * beginning at the specified time. Subsequent executions take place at
             * approximately regular intervals, separated by the specified period.
             *
             * <p>In fixed-delay execution, each execution is scheduled relative to
             * the actual execution time of the previous execution.  If an execution
             * is delayed for any reason (such as garbage collection or other
             * background activity), subsequent executions will be delayed as well.
             * In the long run, the frequency of execution will generally be slightly
             * lower than the reciprocal of the specified period (assuming the system
             * clock underlying <tt>Object.wait(long)</tt> is accurate).  As a
             * consequence of the above, if the scheduled first time is in the past,
             * it is scheduled for immediate execution.
             *
             * <p>Fixed-delay execution is appropriate for recurring activities
             * that require "smoothness."  In other words, it is appropriate for
             * activities where it is more important to keep the frequency accurate
             * in the short run than in the long run.  This includes most animation
             * tasks, such as blinking a cursor at regular intervals.  It also includes
             * tasks wherein regular activity is performed in response to human
             * input, such as automatically repeating a character as long as a key
             * is held down.
             *
             * @param task   task to be scheduled.
             * @param firstTime First time at which task is to be executed.
             * @param period time in milliseconds between successive task executions.
             * @throws IllegalArgumentException if {@code firstTime.getTime() < 0}, or
             *         {@code period <= 0}
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void schedule(TimerTask task, Date firstTime, long period) {
                if (period <= 0)
                    throw new IllegalArgumentException("Non-positive period.");
                sched(task, firstTime.getTime(), -period);
            }

            /**
             * Schedules the specified task for repeated <i>fixed-rate execution</i>,
             * beginning after the specified delay.  Subsequent executions take place
             * at approximately regular intervals, separated by the specified period.
             *
             * <p>In fixed-rate execution, each execution is scheduled relative to the
             * scheduled execution time of the initial execution.  If an execution is
             * delayed for any reason (such as garbage collection or other background
             * activity), two or more executions will occur in rapid succession to
             * "catch up."  In the long run, the frequency of execution will be
             * exactly the reciprocal of the specified period (assuming the system
             * clock underlying <tt>Object.wait(long)</tt> is accurate).
             *
             * <p>Fixed-rate execution is appropriate for recurring activities that
             * are sensitive to <i>absolute</i> time, such as ringing a chime every
             * hour on the hour, or running scheduled maintenance every day at a
             * particular time.  It is also appropriate for recurring activities
             * where the total time to perform a fixed number of executions is
             * important, such as a countdown timer that ticks once every second for
             * ten seconds.  Finally, fixed-rate execution is appropriate for
             * scheduling multiple repeating timer tasks that must remain synchronized
             * with respect to one another.
             *
             * @param task   task to be scheduled.
             * @param delay  delay in milliseconds before task is to be executed.
             * @param period time in milliseconds between successive task executions.
             * @throws IllegalArgumentException if {@code delay < 0}, or
             *         {@code delay + System.currentTimeMillis() < 0}, or
             *         {@code period <= 0}
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void scheduleAtFixedRate(TimerTask task, long delay,
                    long period) {
                if (delay < 0)
                    throw new IllegalArgumentException("Negative delay.");
                if (period <= 0)
                    throw new IllegalArgumentException("Non-positive period.");
                sched(task, System.currentTimeMillis() + delay, period);
            }

            /**
             * Schedules the specified task for repeated <i>fixed-rate execution</i>,
             * beginning at the specified time. Subsequent executions take place at
             * approximately regular intervals, separated by the specified period.
             *
             * <p>In fixed-rate execution, each execution is scheduled relative to the
             * scheduled execution time of the initial execution.  If an execution is
             * delayed for any reason (such as garbage collection or other background
             * activity), two or more executions will occur in rapid succession to
             * "catch up."  In the long run, the frequency of execution will be
             * exactly the reciprocal of the specified period (assuming the system
             * clock underlying <tt>Object.wait(long)</tt> is accurate).  As a
             * consequence of the above, if the scheduled first time is in the past,
             * then any "missed" executions will be scheduled for immediate "catch up"
             * execution.
             *
             * <p>Fixed-rate execution is appropriate for recurring activities that
             * are sensitive to <i>absolute</i> time, such as ringing a chime every
             * hour on the hour, or running scheduled maintenance every day at a
             * particular time.  It is also appropriate for recurring activities
             * where the total time to perform a fixed number of executions is
             * important, such as a countdown timer that ticks once every second for
             * ten seconds.  Finally, fixed-rate execution is appropriate for
             * scheduling multiple repeating timer tasks that must remain synchronized
             * with respect to one another.
             *
             * @param task   task to be scheduled.
             * @param firstTime First time at which task is to be executed.
             * @param period time in milliseconds between successive task executions.
             * @throws IllegalArgumentException if {@code firstTime.getTime() < 0} or
             *         {@code period <= 0}
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            public void scheduleAtFixedRate(TimerTask task, Date firstTime,
                    long period) {
                if (period <= 0)
                    throw new IllegalArgumentException("Non-positive period.");
                sched(task, firstTime.getTime(), period);
            }

            /**
             * Schedule the specified timer task for execution at the specified
             * time with the specified period, in milliseconds.  If period is
             * positive, the task is scheduled for repeated execution; if period is
             * zero, the task is scheduled for one-time execution. Time is specified
             * in Date.getTime() format.  This method checks timer state, task state,
             * and initial execution time, but not period.
             *
             * @throws IllegalArgumentException if <tt>time</tt> is negative.
             * @throws IllegalStateException if task was already scheduled or
             *         cancelled, timer was cancelled, or timer thread terminated.
             */
            private void sched(TimerTask task, long time, long period) {
                if (time < 0)
                    throw new IllegalArgumentException(
                            "Illegal execution time.");

                synchronized (queue) {
                    if (!thread.newTasksMayBeScheduled)
                        throw new IllegalStateException(
                                "Timer already cancelled.");

                    synchronized (task.lock) {
                        if (task.state != TimerTask.VIRGIN)
                            throw new IllegalStateException(
                                    "Task already scheduled or cancelled");
                        task.nextExecutionTime = time;
                        task.period = period;
                        task.state = TimerTask.SCHEDULED;
                    }

                    queue.add(task);
                    if (queue.getMin() == task)
                        queue.notify();
                }
            }

            /**
             * Terminates this timer, discarding any currently scheduled tasks.
             * Does not interfere with a currently executing task (if it exists).
             * Once a timer has been terminated, its execution thread terminates
             * gracefully, and no more tasks may be scheduled on it.
             *
             * <p>Note that calling this method from within the run method of a
             * timer task that was invoked by this timer absolutely guarantees that
             * the ongoing task execution is the last task execution that will ever
             * be performed by this timer.
             *
             * <p>This method may be called repeatedly; the second and subsequent
             * calls have no effect.
             */
            public void cancel() {
                synchronized (queue) {
                    thread.newTasksMayBeScheduled = false;
                    queue.clear();
                    queue.notify(); // In case queue was already empty.
                }
            }

            /**
             * Removes all cancelled tasks from this timer's task queue.  <i>Calling
             * this method has no effect on the behavior of the timer</i>, but
             * eliminates the references to the cancelled tasks from the queue.
             * If there are no external references to these tasks, they become
             * eligible for garbage collection.
             *
             * <p>Most programs will have no need to call this method.
             * It is designed for use by the rare application that cancels a large
             * number of tasks.  Calling this method trades time for space: the
             * runtime of the method may be proportional to n + c log n, where n
             * is the number of tasks in the queue and c is the number of cancelled
             * tasks.
             *
             * <p>Note that it is permissible to call this method from within a
             * a task scheduled on this timer.
             *
             * @return the number of tasks removed from the queue.
             * @since 1.5
             */
            public int purge() {
                int result = 0;

                synchronized (queue) {
                    for (int i = queue.size(); i > 0; i--) {
                        if (queue.get(i).state == TimerTask.CANCELLED) {
                            queue.quickRemove(i);
                            result++;
                        }
                    }

                    if (result != 0)
                        queue.heapify();
                }

                return result;
            }
        }

        /**
         * This "helper class" implements the timer's task execution thread, which
         * waits for tasks on the timer queue, executions them when they fire,
         * reschedules repeating tasks, and removes cancelled tasks and spent
         * non-repeating tasks from the queue.
         */
        class TimerThread extends Thread {
            /**
             * This flag is set to false by the reaper to inform us that there
             * are no more live references to our Timer object.  Once this flag
             * is true and there are no more tasks in our queue, there is no
             * work left for us to do, so we terminate gracefully.  Note that
             * this field is protected by queue's monitor!
             */
            boolean newTasksMayBeScheduled = true;

            /**
             * Our Timer's queue.  We store this reference in preference to
             * a reference to the Timer so the reference graph remains acyclic.
             * Otherwise, the Timer would never be garbage-collected and this
             * thread would never go away.
             */
            private TaskQueue queue;

            TimerThread(TaskQueue queue) {
                this .queue = queue;
            }

            public void run() {
                try {
                    mainLoop();
                } finally {
                    // Someone killed this Thread, behave as if Timer cancelled
                    synchronized (queue) {
                        newTasksMayBeScheduled = false;
                        queue.clear(); // Eliminate obsolete references
                    }
                }
            }

            /**
             * The main timer loop.  (See class comment.)
             */
            private void mainLoop() {
                while (true) {
                    try {
                        TimerTask task;
                        boolean taskFired;
                        synchronized (queue) {
                            // Wait for queue to become non-empty
                            while (queue.isEmpty() && newTasksMayBeScheduled)
                                queue.wait();
                            if (queue.isEmpty())
                                break; // Queue is empty and will forever remain; die

                            // Queue nonempty; look at first evt and do the right thing
                            long currentTime, executionTime;
                            task = queue.getMin();
                            synchronized (task.lock) {
                                if (task.state == TimerTask.CANCELLED) {
                                    queue.removeMin();
                                    continue; // No action required, poll queue again
                                }
                                currentTime = System.currentTimeMillis();
                                executionTime = task.nextExecutionTime;
                                if (taskFired = (executionTime <= currentTime)) {
                                    if (task.period == 0) { // Non-repeating, remove
                                        queue.removeMin();
                                        task.state = TimerTask.EXECUTED;
                                    } else { // Repeating task, reschedule
                                        queue
                                                .rescheduleMin(task.period < 0 ? currentTime
                                                        - task.period
                                                        : executionTime
                                                                + task.period);
                                    }
                                }
                            }
                            if (!taskFired) // Task hasn't yet fired; wait
                                queue.wait(executionTime - currentTime);
                        }
                        if (taskFired) // Task fired; run it, holding no locks
                            task.run();
                    } catch (InterruptedException e) {
                    }
                }
            }
        }

        /**
         * This class represents a timer task queue: a priority queue of TimerTasks,
         * ordered on nextExecutionTime.  Each Timer object has one of these, which it
         * shares with its TimerThread.  Internally this class uses a heap, which
         * offers log(n) performance for the add, removeMin and rescheduleMin
         * operations, and constant time performance for the getMin operation.
         */
        class TaskQueue {
            /**
             * Priority queue represented as a balanced binary heap: the two children
             * of queue[n] are queue[2*n] and queue[2*n+1].  The priority queue is
             * ordered on the nextExecutionTime field: The TimerTask with the lowest
             * nextExecutionTime is in queue[1] (assuming the queue is nonempty).  For
             * each node n in the heap, and each descendant of n, d,
             * n.nextExecutionTime <= d.nextExecutionTime.
             */
            private TimerTask[] queue = new TimerTask[128];

            /**
             * The number of tasks in the priority queue.  (The tasks are stored in
             * queue[1] up to queue[size]).
             */
            private int size = 0;

            /**
             * Returns the number of tasks currently on the queue.
             */
            int size() {
                return size;
            }

            /**
             * Adds a new task to the priority queue.
             */
            void add(TimerTask task) {
                // Grow backing store if necessary
                if (size + 1 == queue.length)
                    queue = Arrays.copyOf(queue, 2 * queue.length);

                queue[++size] = task;
                fixUp(size);
            }

            /**
             * Return the "head task" of the priority queue.  (The head task is an
             * task with the lowest nextExecutionTime.)
             */
            TimerTask getMin() {
                return queue[1];
            }

            /**
             * Return the ith task in the priority queue, where i ranges from 1 (the
             * head task, which is returned by getMin) to the number of tasks on the
             * queue, inclusive.
             */
            TimerTask get(int i) {
                return queue[i];
            }

            /**
             * Remove the head task from the priority queue.
             */
            void removeMin() {
                queue[1] = queue[size];
                queue[size--] = null; // Drop extra reference to prevent memory leak
                fixDown(1);
            }

            /**
             * Removes the ith element from queue without regard for maintaining
             * the heap invariant.  Recall that queue is one-based, so
             * 1 <= i <= size.
             */
            void quickRemove(int i) {
                assert i <= size;

                queue[i] = queue[size];
                queue[size--] = null; // Drop extra ref to prevent memory leak
            }

            /**
             * Sets the nextExecutionTime associated with the head task to the
             * specified value, and adjusts priority queue accordingly.
             */
            void rescheduleMin(long newTime) {
                queue[1].nextExecutionTime = newTime;
                fixDown(1);
            }

            /**
             * Returns true if the priority queue contains no elements.
             */
            boolean isEmpty() {
                return size == 0;
            }

            /**
             * Removes all elements from the priority queue.
             */
            void clear() {
                // Null out task references to prevent memory leak
                for (int i = 1; i <= size; i++)
                    queue[i] = null;

                size = 0;
            }

            /**
             * Establishes the heap invariant (described above) assuming the heap
             * satisfies the invariant except possibly for the leaf-node indexed by k
             * (which may have a nextExecutionTime less than its parent's).
             *
             * This method functions by "promoting" queue[k] up the hierarchy
             * (by swapping it with its parent) repeatedly until queue[k]'s
             * nextExecutionTime is greater than or equal to that of its parent.
             */
            private void fixUp(int k) {
                while (k > 1) {
                    int j = k >> 1;
                    if (queue[j].nextExecutionTime <= queue[k].nextExecutionTime)
                        break;
                    TimerTask tmp = queue[j];
                    queue[j] = queue[k];
                    queue[k] = tmp;
                    k = j;
                }
            }

            /**
             * Establishes the heap invariant (described above) in the subtree
             * rooted at k, which is assumed to satisfy the heap invariant except
             * possibly for node k itself (which may have a nextExecutionTime greater
             * than its children's).
             *
             * This method functions by "demoting" queue[k] down the hierarchy
             * (by swapping it with its smaller child) repeatedly until queue[k]'s
             * nextExecutionTime is less than or equal to those of its children.
             */
            private void fixDown(int k) {
                int j;
                while ((j = k << 1) <= size && j > 0) {
                    if (j < size
                            && queue[j].nextExecutionTime > queue[j + 1].nextExecutionTime)
                        j++; // j indexes smallest kid
                    if (queue[k].nextExecutionTime <= queue[j].nextExecutionTime)
                        break;
                    TimerTask tmp = queue[j];
                    queue[j] = queue[k];
                    queue[k] = tmp;
                    k = j;
                }
            }

            /**
             * Establishes the heap invariant (described above) in the entire tree,
             * assuming nothing about the order of the elements prior to the call.
             */
            void heapify() {
                for (int i = size / 2; i >= 1; i--)
                    fixDown(i);
            }
        }
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