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    1   /*
    2    * Copyright 1999-2007 Sun Microsystems, Inc.  All Rights Reserved.
    3    * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
    4    *
    5    * This code is free software; you can redistribute it and/or modify it
    6    * under the terms of the GNU General Public License version 2 only, as
    7    * published by the Free Software Foundation.  Sun designates this
    8    * particular file as subject to the "Classpath" exception as provided
    9    * by Sun in the LICENSE file that accompanied this code.
   10    *
   11    * This code is distributed in the hope that it will be useful, but WITHOUT
   12    * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
   13    * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
   14    * version 2 for more details (a copy is included in the LICENSE file that
   15    * accompanied this code).
   16    *
   17    * You should have received a copy of the GNU General Public License version
   18    * 2 along with this work; if not, write to the Free Software Foundation,
   19    * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
   20    *
   21    * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
   22    * CA 95054 USA or visit www.sun.com if you need additional information or
   23    * have any questions.
   24    */
   25   
   26   package java.util;
   27   import java.util.Date;
   28   
   29   /**
   30    * A facility for threads to schedule tasks for future execution in a
   31    * background thread.  Tasks may be scheduled for one-time execution, or for
   32    * repeated execution at regular intervals.
   33    *
   34    * <p>Corresponding to each <tt>Timer</tt> object is a single background
   35    * thread that is used to execute all of the timer's tasks, sequentially.
   36    * Timer tasks should complete quickly.  If a timer task takes excessive time
   37    * to complete, it "hogs" the timer's task execution thread.  This can, in
   38    * turn, delay the execution of subsequent tasks, which may "bunch up" and
   39    * execute in rapid succession when (and if) the offending task finally
   40    * completes.
   41    *
   42    * <p>After the last live reference to a <tt>Timer</tt> object goes away
   43    * <i>and</i> all outstanding tasks have completed execution, the timer's task
   44    * execution thread terminates gracefully (and becomes subject to garbage
   45    * collection).  However, this can take arbitrarily long to occur.  By
   46    * default, the task execution thread does not run as a <i>daemon thread</i>,
   47    * so it is capable of keeping an application from terminating.  If a caller
   48    * wants to terminate a timer's task execution thread rapidly, the caller
   49    * should invoke the timer's <tt>cancel</tt> method.
   50    *
   51    * <p>If the timer's task execution thread terminates unexpectedly, for
   52    * example, because its <tt>stop</tt> method is invoked, any further
   53    * attempt to schedule a task on the timer will result in an
   54    * <tt>IllegalStateException</tt>, as if the timer's <tt>cancel</tt>
   55    * method had been invoked.
   56    *
   57    * <p>This class is thread-safe: multiple threads can share a single
   58    * <tt>Timer</tt> object without the need for external synchronization.
   59    *
   60    * <p>This class does <i>not</i> offer real-time guarantees: it schedules
   61    * tasks using the <tt>Object.wait(long)</tt> method.
   62    *
   63    * <p>Java 5.0 introduced the {@code java.util.concurrent} package and
   64    * one of the concurrency utilities therein is the {@link
   65    * java.util.concurrent.ScheduledThreadPoolExecutor
   66    * ScheduledThreadPoolExecutor} which is a thread pool for repeatedly
   67    * executing tasks at a given rate or delay.  It is effectively a more
   68    * versatile replacement for the {@code Timer}/{@code TimerTask}
   69    * combination, as it allows multiple service threads, accepts various
   70    * time units, and doesn't require subclassing {@code TimerTask} (just
   71    * implement {@code Runnable}).  Configuring {@code
   72    * ScheduledThreadPoolExecutor} with one thread makes it equivalent to
   73    * {@code Timer}.
   74    *
   75    * <p>Implementation note: This class scales to large numbers of concurrently
   76    * scheduled tasks (thousands should present no problem).  Internally,
   77    * it uses a binary heap to represent its task queue, so the cost to schedule
   78    * a task is O(log n), where n is the number of concurrently scheduled tasks.
   79    *
   80    * <p>Implementation note: All constructors start a timer thread.
   81    *
   82    * @author  Josh Bloch
   83    * @see     TimerTask
   84    * @see     Object#wait(long)
   85    * @since   1.3
   86    */
   87   
   88   public class Timer {
   89       /**
   90        * The timer task queue.  This data structure is shared with the timer
   91        * thread.  The timer produces tasks, via its various schedule calls,
   92        * and the timer thread consumes, executing timer tasks as appropriate,
   93        * and removing them from the queue when they're obsolete.
   94        */
   95       private TaskQueue queue = new TaskQueue();
   96   
   97       /**
   98        * The timer thread.
   99        */
  100       private TimerThread thread = new TimerThread(queue);
  101   
  102       /**
  103        * This object causes the timer's task execution thread to exit
  104        * gracefully when there are no live references to the Timer object and no
  105        * tasks in the timer queue.  It is used in preference to a finalizer on
  106        * Timer as such a finalizer would be susceptible to a subclass's
  107        * finalizer forgetting to call it.
  108        */
  109       private Object threadReaper = new Object() {
  110           protected void finalize() throws Throwable {
  111               synchronized(queue) {
  112                   thread.newTasksMayBeScheduled = false;
  113                   queue.notify(); // In case queue is empty.
  114               }
  115           }
  116       };
  117   
  118       /**
  119        * This ID is used to generate thread names.  (It could be replaced
  120        * by an AtomicInteger as soon as they become available.)
  121        */
  122       private static int nextSerialNumber = 0;
  123       private static synchronized int serialNumber() {
  124           return nextSerialNumber++;
  125       }
  126   
  127       /**
  128        * Creates a new timer.  The associated thread does <i>not</i>
  129        * {@linkplain Thread#setDaemon run as a daemon}.
  130        */
  131       public Timer() {
  132           this("Timer-" + serialNumber());
  133       }
  134   
  135       /**
  136        * Creates a new timer whose associated thread may be specified to
  137        * {@linkplain Thread#setDaemon run as a daemon}.
  138        * A daemon thread is called for if the timer will be used to
  139        * schedule repeating "maintenance activities", which must be
  140        * performed as long as the application is running, but should not
  141        * prolong the lifetime of the application.
  142        *
  143        * @param isDaemon true if the associated thread should run as a daemon.
  144        */
  145       public Timer(boolean isDaemon) {
  146           this("Timer-" + serialNumber(), isDaemon);
  147       }
  148   
  149       /**
  150        * Creates a new timer whose associated thread has the specified name.
  151        * The associated thread does <i>not</i>
  152        * {@linkplain Thread#setDaemon run as a daemon}.
  153        *
  154        * @param name the name of the associated thread
  155        * @throws NullPointerException if {@code name} is null
  156        * @since 1.5
  157        */
  158       public Timer(String name) {
  159           thread.setName(name);
  160           thread.start();
  161       }
  162   
  163       /**
  164        * Creates a new timer whose associated thread has the specified name,
  165        * and may be specified to
  166        * {@linkplain Thread#setDaemon run as a daemon}.
  167        *
  168        * @param name the name of the associated thread
  169        * @param isDaemon true if the associated thread should run as a daemon
  170        * @throws NullPointerException if {@code name} is null
  171        * @since 1.5
  172        */
  173       public Timer(String name, boolean isDaemon) {
  174           thread.setName(name);
  175           thread.setDaemon(isDaemon);
  176           thread.start();
  177       }
  178   
  179       /**
  180        * Schedules the specified task for execution after the specified delay.
  181        *
  182        * @param task  task to be scheduled.
  183        * @param delay delay in milliseconds before task is to be executed.
  184        * @throws IllegalArgumentException if <tt>delay</tt> is negative, or
  185        *         <tt>delay + System.currentTimeMillis()</tt> is negative.
  186        * @throws IllegalStateException if task was already scheduled or
  187        *         cancelled, timer was cancelled, or timer thread terminated.
  188        * @throws NullPointerException if {@code task} is null
  189        */
  190       public void schedule(TimerTask task, long delay) {
  191           if (delay < 0)
  192               throw new IllegalArgumentException("Negative delay.");
  193           sched(task, System.currentTimeMillis()+delay, 0);
  194       }
  195   
  196       /**
  197        * Schedules the specified task for execution at the specified time.  If
  198        * the time is in the past, the task is scheduled for immediate execution.
  199        *
  200        * @param task task to be scheduled.
  201        * @param time time at which task is to be executed.
  202        * @throws IllegalArgumentException if <tt>time.getTime()</tt> is negative.
  203        * @throws IllegalStateException if task was already scheduled or
  204        *         cancelled, timer was cancelled, or timer thread terminated.
  205        * @throws NullPointerException if {@code task} or {@code time} is null
  206        */
  207       public void schedule(TimerTask task, Date time) {
  208           sched(task, time.getTime(), 0);
  209       }
  210   
  211       /**
  212        * Schedules the specified task for repeated <i>fixed-delay execution</i>,
  213        * beginning after the specified delay.  Subsequent executions take place
  214        * at approximately regular intervals separated by the specified period.
  215        *
  216        * <p>In fixed-delay execution, each execution is scheduled relative to
  217        * the actual execution time of the previous execution.  If an execution
  218        * is delayed for any reason (such as garbage collection or other
  219        * background activity), subsequent executions will be delayed as well.
  220        * In the long run, the frequency of execution will generally be slightly
  221        * lower than the reciprocal of the specified period (assuming the system
  222        * clock underlying <tt>Object.wait(long)</tt> is accurate).
  223        *
  224        * <p>Fixed-delay execution is appropriate for recurring activities
  225        * that require "smoothness."  In other words, it is appropriate for
  226        * activities where it is more important to keep the frequency accurate
  227        * in the short run than in the long run.  This includes most animation
  228        * tasks, such as blinking a cursor at regular intervals.  It also includes
  229        * tasks wherein regular activity is performed in response to human
  230        * input, such as automatically repeating a character as long as a key
  231        * is held down.
  232        *
  233        * @param task   task to be scheduled.
  234        * @param delay  delay in milliseconds before task is to be executed.
  235        * @param period time in milliseconds between successive task executions.
  236        * @throws IllegalArgumentException if {@code delay < 0}, or
  237        *         {@code delay + System.currentTimeMillis() < 0}, or
  238        *         {@code period <= 0}
  239        * @throws IllegalStateException if task was already scheduled or
  240        *         cancelled, timer was cancelled, or timer thread terminated.
  241        * @throws NullPointerException if {@code task} is null
  242        */
  243       public void schedule(TimerTask task, long delay, long period) {
  244           if (delay < 0)
  245               throw new IllegalArgumentException("Negative delay.");
  246           if (period <= 0)
  247               throw new IllegalArgumentException("Non-positive period.");
  248           sched(task, System.currentTimeMillis()+delay, -period);
  249       }
  250   
  251       /**
  252        * Schedules the specified task for repeated <i>fixed-delay execution</i>,
  253        * beginning at the specified time. Subsequent executions take place at
  254        * approximately regular intervals, separated by the specified period.
  255        *
  256        * <p>In fixed-delay execution, each execution is scheduled relative to
  257        * the actual execution time of the previous execution.  If an execution
  258        * is delayed for any reason (such as garbage collection or other
  259        * background activity), subsequent executions will be delayed as well.
  260        * In the long run, the frequency of execution will generally be slightly
  261        * lower than the reciprocal of the specified period (assuming the system
  262        * clock underlying <tt>Object.wait(long)</tt> is accurate).  As a
  263        * consequence of the above, if the scheduled first time is in the past,
  264        * it is scheduled for immediate execution.
  265        *
  266        * <p>Fixed-delay execution is appropriate for recurring activities
  267        * that require "smoothness."  In other words, it is appropriate for
  268        * activities where it is more important to keep the frequency accurate
  269        * in the short run than in the long run.  This includes most animation
  270        * tasks, such as blinking a cursor at regular intervals.  It also includes
  271        * tasks wherein regular activity is performed in response to human
  272        * input, such as automatically repeating a character as long as a key
  273        * is held down.
  274        *
  275        * @param task   task to be scheduled.
  276        * @param firstTime First time at which task is to be executed.
  277        * @param period time in milliseconds between successive task executions.
  278        * @throws IllegalArgumentException if {@code firstTime.getTime() < 0}, or
  279        *         {@code period <= 0}
  280        * @throws IllegalStateException if task was already scheduled or
  281        *         cancelled, timer was cancelled, or timer thread terminated.
  282        * @throws NullPointerException if {@code task} or {@code firstTime} is null
  283        */
  284       public void schedule(TimerTask task, Date firstTime, long period) {
  285           if (period <= 0)
  286               throw new IllegalArgumentException("Non-positive period.");
  287           sched(task, firstTime.getTime(), -period);
  288       }
  289   
  290       /**
  291        * Schedules the specified task for repeated <i>fixed-rate execution</i>,
  292        * beginning after the specified delay.  Subsequent executions take place
  293        * at approximately regular intervals, separated by the specified period.
  294        *
  295        * <p>In fixed-rate execution, each execution is scheduled relative to the
  296        * scheduled execution time of the initial execution.  If an execution is
  297        * delayed for any reason (such as garbage collection or other background
  298        * activity), two or more executions will occur in rapid succession to
  299        * "catch up."  In the long run, the frequency of execution will be
  300        * exactly the reciprocal of the specified period (assuming the system
  301        * clock underlying <tt>Object.wait(long)</tt> is accurate).
  302        *
  303        * <p>Fixed-rate execution is appropriate for recurring activities that
  304        * are sensitive to <i>absolute</i> time, such as ringing a chime every
  305        * hour on the hour, or running scheduled maintenance every day at a
  306        * particular time.  It is also appropriate for recurring activities
  307        * where the total time to perform a fixed number of executions is
  308        * important, such as a countdown timer that ticks once every second for
  309        * ten seconds.  Finally, fixed-rate execution is appropriate for
  310        * scheduling multiple repeating timer tasks that must remain synchronized
  311        * with respect to one another.
  312        *
  313        * @param task   task to be scheduled.
  314        * @param delay  delay in milliseconds before task is to be executed.
  315        * @param period time in milliseconds between successive task executions.
  316        * @throws IllegalArgumentException if {@code delay < 0}, or
  317        *         {@code delay + System.currentTimeMillis() < 0}, or
  318        *         {@code period <= 0}
  319        * @throws IllegalStateException if task was already scheduled or
  320        *         cancelled, timer was cancelled, or timer thread terminated.
  321        * @throws NullPointerException if {@code task} is null
  322        */
  323       public void scheduleAtFixedRate(TimerTask task, long delay, long period) {
  324           if (delay < 0)
  325               throw new IllegalArgumentException("Negative delay.");
  326           if (period <= 0)
  327               throw new IllegalArgumentException("Non-positive period.");
  328           sched(task, System.currentTimeMillis()+delay, period);
  329       }
  330   
  331       /**
  332        * Schedules the specified task for repeated <i>fixed-rate execution</i>,
  333        * beginning at the specified time. Subsequent executions take place at
  334        * approximately regular intervals, separated by the specified period.
  335        *
  336        * <p>In fixed-rate execution, each execution is scheduled relative to the
  337        * scheduled execution time of the initial execution.  If an execution is
  338        * delayed for any reason (such as garbage collection or other background
  339        * activity), two or more executions will occur in rapid succession to
  340        * "catch up."  In the long run, the frequency of execution will be
  341        * exactly the reciprocal of the specified period (assuming the system
  342        * clock underlying <tt>Object.wait(long)</tt> is accurate).  As a
  343        * consequence of the above, if the scheduled first time is in the past,
  344        * then any "missed" executions will be scheduled for immediate "catch up"
  345        * execution.
  346        *
  347        * <p>Fixed-rate execution is appropriate for recurring activities that
  348        * are sensitive to <i>absolute</i> time, such as ringing a chime every
  349        * hour on the hour, or running scheduled maintenance every day at a
  350        * particular time.  It is also appropriate for recurring activities
  351        * where the total time to perform a fixed number of executions is
  352        * important, such as a countdown timer that ticks once every second for
  353        * ten seconds.  Finally, fixed-rate execution is appropriate for
  354        * scheduling multiple repeating timer tasks that must remain synchronized
  355        * with respect to one another.
  356        *
  357        * @param task   task to be scheduled.
  358        * @param firstTime First time at which task is to be executed.
  359        * @param period time in milliseconds between successive task executions.
  360        * @throws IllegalArgumentException if {@code firstTime.getTime() < 0} or
  361        *         {@code period <= 0}
  362        * @throws IllegalStateException if task was already scheduled or
  363        *         cancelled, timer was cancelled, or timer thread terminated.
  364        * @throws NullPointerException if {@code task} or {@code firstTime} is null
  365        */
  366       public void scheduleAtFixedRate(TimerTask task, Date firstTime,
  367                                       long period) {
  368           if (period <= 0)
  369               throw new IllegalArgumentException("Non-positive period.");
  370           sched(task, firstTime.getTime(), period);
  371       }
  372   
  373       /**
  374        * Schedule the specified timer task for execution at the specified
  375        * time with the specified period, in milliseconds.  If period is
  376        * positive, the task is scheduled for repeated execution; if period is
  377        * zero, the task is scheduled for one-time execution. Time is specified
  378        * in Date.getTime() format.  This method checks timer state, task state,
  379        * and initial execution time, but not period.
  380        *
  381        * @throws IllegalArgumentException if <tt>time</tt> is negative.
  382        * @throws IllegalStateException if task was already scheduled or
  383        *         cancelled, timer was cancelled, or timer thread terminated.
  384        * @throws NullPointerException if {@code task} is null
  385        */
  386       private void sched(TimerTask task, long time, long period) {
  387           if (time < 0)
  388               throw new IllegalArgumentException("Illegal execution time.");
  389   
  390           synchronized(queue) {
  391               if (!thread.newTasksMayBeScheduled)
  392                   throw new IllegalStateException("Timer already cancelled.");
  393   
  394               synchronized(task.lock) {
  395                   if (task.state != TimerTask.VIRGIN)
  396                       throw new IllegalStateException(
  397                           "Task already scheduled or cancelled");
  398                   task.nextExecutionTime = time;
  399                   task.period = period;
  400                   task.state = TimerTask.SCHEDULED;
  401               }
  402   
  403               queue.add(task);
  404               if (queue.getMin() == task)
  405                   queue.notify();
  406           }
  407       }
  408   
  409       /**
  410        * Terminates this timer, discarding any currently scheduled tasks.
  411        * Does not interfere with a currently executing task (if it exists).
  412        * Once a timer has been terminated, its execution thread terminates
  413        * gracefully, and no more tasks may be scheduled on it.
  414        *
  415        * <p>Note that calling this method from within the run method of a
  416        * timer task that was invoked by this timer absolutely guarantees that
  417        * the ongoing task execution is the last task execution that will ever
  418        * be performed by this timer.
  419        *
  420        * <p>This method may be called repeatedly; the second and subsequent
  421        * calls have no effect.
  422        */
  423       public void cancel() {
  424           synchronized(queue) {
  425               thread.newTasksMayBeScheduled = false;
  426               queue.clear();
  427               queue.notify();  // In case queue was already empty.
  428           }
  429       }
  430   
  431       /**
  432        * Removes all cancelled tasks from this timer's task queue.  <i>Calling
  433        * this method has no effect on the behavior of the timer</i>, but
  434        * eliminates the references to the cancelled tasks from the queue.
  435        * If there are no external references to these tasks, they become
  436        * eligible for garbage collection.
  437        *
  438        * <p>Most programs will have no need to call this method.
  439        * It is designed for use by the rare application that cancels a large
  440        * number of tasks.  Calling this method trades time for space: the
  441        * runtime of the method may be proportional to n + c log n, where n
  442        * is the number of tasks in the queue and c is the number of cancelled
  443        * tasks.
  444        *
  445        * <p>Note that it is permissible to call this method from within a
  446        * a task scheduled on this timer.
  447        *
  448        * @return the number of tasks removed from the queue.
  449        * @since 1.5
  450        */
  451        public int purge() {
  452            int result = 0;
  453   
  454            synchronized(queue) {
  455                for (int i = queue.size(); i > 0; i--) {
  456                    if (queue.get(i).state == TimerTask.CANCELLED) {
  457                        queue.quickRemove(i);
  458                        result++;
  459                    }
  460                }
  461   
  462                if (result != 0)
  463                    queue.heapify();
  464            }
  465   
  466            return result;
  467        }
  468   }
  469   
  470   /**
  471    * This "helper class" implements the timer's task execution thread, which
  472    * waits for tasks on the timer queue, executions them when they fire,
  473    * reschedules repeating tasks, and removes cancelled tasks and spent
  474    * non-repeating tasks from the queue.
  475    */
  476   class TimerThread extends Thread {
  477       /**
  478        * This flag is set to false by the reaper to inform us that there
  479        * are no more live references to our Timer object.  Once this flag
  480        * is true and there are no more tasks in our queue, there is no
  481        * work left for us to do, so we terminate gracefully.  Note that
  482        * this field is protected by queue's monitor!
  483        */
  484       boolean newTasksMayBeScheduled = true;
  485   
  486       /**
  487        * Our Timer's queue.  We store this reference in preference to
  488        * a reference to the Timer so the reference graph remains acyclic.
  489        * Otherwise, the Timer would never be garbage-collected and this
  490        * thread would never go away.
  491        */
  492       private TaskQueue queue;
  493   
  494       TimerThread(TaskQueue queue) {
  495           this.queue = queue;
  496       }
  497   
  498       public void run() {
  499           try {
  500               mainLoop();
  501           } finally {
  502               // Someone killed this Thread, behave as if Timer cancelled
  503               synchronized(queue) {
  504                   newTasksMayBeScheduled = false;
  505                   queue.clear();  // Eliminate obsolete references
  506               }
  507           }
  508       }
  509   
  510       /**
  511        * The main timer loop.  (See class comment.)
  512        */
  513       private void mainLoop() {
  514           while (true) {
  515               try {
  516                   TimerTask task;
  517                   boolean taskFired;
  518                   synchronized(queue) {
  519                       // Wait for queue to become non-empty
  520                       while (queue.isEmpty() && newTasksMayBeScheduled)
  521                           queue.wait();
  522                       if (queue.isEmpty())
  523                           break; // Queue is empty and will forever remain; die
  524   
  525                       // Queue nonempty; look at first evt and do the right thing
  526                       long currentTime, executionTime;
  527                       task = queue.getMin();
  528                       synchronized(task.lock) {
  529                           if (task.state == TimerTask.CANCELLED) {
  530                               queue.removeMin();
  531                               continue;  // No action required, poll queue again
  532                           }
  533                           currentTime = System.currentTimeMillis();
  534                           executionTime = task.nextExecutionTime;
  535                           if (taskFired = (executionTime<=currentTime)) {
  536                               if (task.period == 0) { // Non-repeating, remove
  537                                   queue.removeMin();
  538                                   task.state = TimerTask.EXECUTED;
  539                               } else { // Repeating task, reschedule
  540                                   queue.rescheduleMin(
  541                                     task.period<0 ? currentTime   - task.period
  542                                                   : executionTime + task.period);
  543                               }
  544                           }
  545                       }
  546                       if (!taskFired) // Task hasn't yet fired; wait
  547                           queue.wait(executionTime - currentTime);
  548                   }
  549                   if (taskFired)  // Task fired; run it, holding no locks
  550                       task.run();
  551               } catch(InterruptedException e) {
  552               }
  553           }
  554       }
  555   }
  556   
  557   /**
  558    * This class represents a timer task queue: a priority queue of TimerTasks,
  559    * ordered on nextExecutionTime.  Each Timer object has one of these, which it
  560    * shares with its TimerThread.  Internally this class uses a heap, which
  561    * offers log(n) performance for the add, removeMin and rescheduleMin
  562    * operations, and constant time performance for the getMin operation.
  563    */
  564   class TaskQueue {
  565       /**
  566        * Priority queue represented as a balanced binary heap: the two children
  567        * of queue[n] are queue[2*n] and queue[2*n+1].  The priority queue is
  568        * ordered on the nextExecutionTime field: The TimerTask with the lowest
  569        * nextExecutionTime is in queue[1] (assuming the queue is nonempty).  For
  570        * each node n in the heap, and each descendant of n, d,
  571        * n.nextExecutionTime <= d.nextExecutionTime.
  572        */
  573       private TimerTask[] queue = new TimerTask[128];
  574   
  575       /**
  576        * The number of tasks in the priority queue.  (The tasks are stored in
  577        * queue[1] up to queue[size]).
  578        */
  579       private int size = 0;
  580   
  581       /**
  582        * Returns the number of tasks currently on the queue.
  583        */
  584       int size() {
  585           return size;
  586       }
  587   
  588       /**
  589        * Adds a new task to the priority queue.
  590        */
  591       void add(TimerTask task) {
  592           // Grow backing store if necessary
  593           if (size + 1 == queue.length)
  594               queue = Arrays.copyOf(queue, 2*queue.length);
  595   
  596           queue[++size] = task;
  597           fixUp(size);
  598       }
  599   
  600       /**
  601        * Return the "head task" of the priority queue.  (The head task is an
  602        * task with the lowest nextExecutionTime.)
  603        */
  604       TimerTask getMin() {
  605           return queue[1];
  606       }
  607   
  608       /**
  609        * Return the ith task in the priority queue, where i ranges from 1 (the
  610        * head task, which is returned by getMin) to the number of tasks on the
  611        * queue, inclusive.
  612        */
  613       TimerTask get(int i) {
  614           return queue[i];
  615       }
  616   
  617       /**
  618        * Remove the head task from the priority queue.
  619        */
  620       void removeMin() {
  621           queue[1] = queue[size];
  622           queue[size--] = null;  // Drop extra reference to prevent memory leak
  623           fixDown(1);
  624       }
  625   
  626       /**
  627        * Removes the ith element from queue without regard for maintaining
  628        * the heap invariant.  Recall that queue is one-based, so
  629        * 1 <= i <= size.
  630        */
  631       void quickRemove(int i) {
  632           assert i <= size;
  633   
  634           queue[i] = queue[size];
  635           queue[size--] = null;  // Drop extra ref to prevent memory leak
  636       }
  637   
  638       /**
  639        * Sets the nextExecutionTime associated with the head task to the
  640        * specified value, and adjusts priority queue accordingly.
  641        */
  642       void rescheduleMin(long newTime) {
  643           queue[1].nextExecutionTime = newTime;
  644           fixDown(1);
  645       }
  646   
  647       /**
  648        * Returns true if the priority queue contains no elements.
  649        */
  650       boolean isEmpty() {
  651           return size==0;
  652       }
  653   
  654       /**
  655        * Removes all elements from the priority queue.
  656        */
  657       void clear() {
  658           // Null out task references to prevent memory leak
  659           for (int i=1; i<=size; i++)
  660               queue[i] = null;
  661   
  662           size = 0;
  663       }
  664   
  665       /**
  666        * Establishes the heap invariant (described above) assuming the heap
  667        * satisfies the invariant except possibly for the leaf-node indexed by k
  668        * (which may have a nextExecutionTime less than its parent's).
  669        *
  670        * This method functions by "promoting" queue[k] up the hierarchy
  671        * (by swapping it with its parent) repeatedly until queue[k]'s
  672        * nextExecutionTime is greater than or equal to that of its parent.
  673        */
  674       private void fixUp(int k) {
  675           while (k > 1) {
  676               int j = k >> 1;
  677               if (queue[j].nextExecutionTime <= queue[k].nextExecutionTime)
  678                   break;
  679               TimerTask tmp = queue[j];  queue[j] = queue[k]; queue[k] = tmp;
  680               k = j;
  681           }
  682       }
  683   
  684       /**
  685        * Establishes the heap invariant (described above) in the subtree
  686        * rooted at k, which is assumed to satisfy the heap invariant except
  687        * possibly for node k itself (which may have a nextExecutionTime greater
  688        * than its children's).
  689        *
  690        * This method functions by "demoting" queue[k] down the hierarchy
  691        * (by swapping it with its smaller child) repeatedly until queue[k]'s
  692        * nextExecutionTime is less than or equal to those of its children.
  693        */
  694       private void fixDown(int k) {
  695           int j;
  696           while ((j = k << 1) <= size && j > 0) {
  697               if (j < size &&
  698                   queue[j].nextExecutionTime > queue[j+1].nextExecutionTime)
  699                   j++; // j indexes smallest kid
  700               if (queue[k].nextExecutionTime <= queue[j].nextExecutionTime)
  701                   break;
  702               TimerTask tmp = queue[j];  queue[j] = queue[k]; queue[k] = tmp;
  703               k = j;
  704           }
  705       }
  706   
  707       /**
  708        * Establishes the heap invariant (described above) in the entire tree,
  709        * assuming nothing about the order of the elements prior to the call.
  710        */
  711       void heapify() {
  712           for (int i = size/2; i >= 1; i--)
  713               fixDown(i);
  714       }
  715   }

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