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/**
 * 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 io.streamnative.pulsar.handlers.kop.utils.timer;

import io.streamnative.pulsar.handlers.kop.utils.timer.TimerTaskList.TimerTaskEntry;
import java.util.List;
import java.util.concurrent.DelayQueue;
import java.util.concurrent.atomic.AtomicInteger;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

/**
 * Hierarchical Timing Wheels
 *
 * 

A simple timing wheel is a circular list of buckets of timer tasks. Let u be the time unit. * A timing wheel with size n has n buckets and can hold timer tasks in n * u time interval. * Each bucket holds timer tasks that fall into the corresponding time range. At the beginning, * the first bucket holds tasks for [0, u), the second bucket holds tasks for [u, 2u), …, * the n-th bucket for [u * (n -1), u * n). Every interval of time unit u, the timer ticks and * moved to the next bucket then expire all timer tasks in it. So, the timer never insert a task * into the bucket for the current time since it is already expired. The timer immediately runs * the expired task. The emptied bucket is then available for the next round, so if the current * bucket is for the time t, it becomes the bucket for [t + u * n, t + (n + 1) * u) after a tick. * A timing wheel has O(1) cost for insert/delete (start-timer/stop-timer) whereas priority queue * based timers, such as java.util.concurrent.DelayQueue and java.util.Timer, have O(log n) * insert/delete cost. * *

A major drawback of a simple timing wheel is that it assumes that a timer request is within * the time interval of n * u from the current time. If a timer request is out of this interval, * it is an overflow. A hierarchical timing wheel deals with such overflows. It is a hierarchically * organized timing wheels. The lowest level has the finest time resolution. As moving up the * hierarchy, time resolutions become coarser. If the resolution of a wheel at one level is u and * the size is n, the resolution of the next level should be n * u. At each level overflows are * delegated to the wheel in one level higher. When the wheel in the higher level ticks, it reinsert * timer tasks to the lower level. An overflow wheel can be created on-demand. When a bucket in an * overflow bucket expires, all tasks in it are reinserted into the timer recursively. The tasks * are then moved to the finer grain wheels or be executed. The insert (start-timer) cost is O(m) * where m is the number of wheels, which is usually very small compared to the number of requests * in the system, and the delete (stop-timer) cost is still O(1). * *

Example * Let's say that u is 1 and n is 3. If the start time is c, * then the buckets at different levels are: * *

* level buckets * 1 [c,c] [c+1,c+1] [c+2,c+2] * 2 [c,c+2] [c+3,c+5] [c+6,c+8] * 3 [c,c+8] [c+9,c+17] [c+18,c+26] *

* *

The bucket expiration is at the time of bucket beginning. * So at time = c+1, buckets [c,c], [c,c+2] and [c,c+8] are expired. * Level 1's clock moves to c+1, and [c+3,c+3] is created. * Level 2 and level3's clock stay at c since their clocks move in unit of 3 and 9, respectively. * So, no new buckets are created in level 2 and 3. * *

Note that bucket [c,c+2] in level 2 won't receive any task since that range is already covered in level 1. * The same is true for the bucket [c,c+8] in level 3 since its range is covered in level 2. * This is a bit wasteful, but simplifies the implementation. * *

* 1 [c+1,c+1] [c+2,c+2] [c+3,c+3] * 2 [c,c+2] [c+3,c+5] [c+6,c+8] * 3 [c,c+8] [c+9,c+17] [c+18,c+26] *

* *

At time = c+2, [c+1,c+1] is newly expired. * Level 1 moves to c+2, and [c+4,c+4] is created, * *

* 1 [c+2,c+2] [c+3,c+3] [c+4,c+4] * 2 [c,c+2] [c+3,c+5] [c+6,c+8] * 3 [c,c+8] [c+9,c+17] [c+18,c+18] *

* *

* At time = c+3, [c+2,c+2] is newly expired. * Level 2 moves to c+3, and [c+5,c+5] and [c+9,c+11] are created. * Level 3 stay at c. *

* *

* 1 [c+3,c+3] [c+4,c+4] [c+5,c+5] * 2 [c+3,c+5] [c+6,c+8] [c+9,c+11] * 3 [c,c+8] [c+9,c+17] [c+8,c+11] *

* *

The hierarchical timing wheels works especially well when operations are completed before they time out. * Even when everything times out, it still has advantageous when there are many items in the timer. * Its insert cost (including reinsert) and delete cost are O(m) and O(1), respectively while priority * queue based timers takes O(log N) for both insert and delete where N is the number of items in the queue. * *

This class is not thread-safe. There should not be any add calls while advanceClock is executing. * It is caller's responsibility to enforce it. Simultaneous add calls are thread-safe. * *

Note: this is the implementation from Kafka. */ class TimingWheel { private final long tickMs; private final int wheelSize; private final long startMs; private final AtomicInteger taskCounter; private final DelayQueue queue; private final long interval; private final List buckets; private long currentTime; // overflowWheel can potentially be updated and read by two concurrent threads through add(). // Therefore, it needs to be volatile due to the issue of Double-Checked Locking pattern with JVM private volatile TimingWheel overflowWheel = null; public TimingWheel( long tickMs, int wheelSize, long startMs, AtomicInteger taskCounter, DelayQueue queue ) { this.tickMs = tickMs; this.wheelSize = wheelSize; this.startMs = startMs; this.taskCounter = taskCounter; this.queue = queue; this.interval = tickMs * wheelSize; this.buckets = IntStream.range(0, wheelSize) .mapToObj(i -> new TimerTaskList(taskCounter)) .collect(Collectors.toList()); this.currentTime = startMs - (startMs % tickMs); // rounding down to multiple of tickMs } private synchronized void addOverflowWheel() { if (null == overflowWheel) { overflowWheel = new TimingWheel( interval, wheelSize, currentTime, taskCounter, queue ); } } public boolean add(TimerTaskEntry timerTaskEntry) { final long expiration = timerTaskEntry.expirationMs(); if (timerTaskEntry.cancelled()) { // cancelled return false; } else if (expiration < currentTime + tickMs) { // Already expired return false; } else if (expiration < currentTime + interval) { // Put in its own bucket final long virtualId = expiration / tickMs; TimerTaskList bucket = buckets.get( (int) (virtualId % (long) wheelSize) ); bucket.add(timerTaskEntry); // Set the bucket expiration time if (bucket.setExpiration(virtualId * tickMs)) { // The bucket needs to be enqueued because it was an expired bucket // We only need to enqueue the bucket when its expiration time has changed, i.e. the wheel has advanced // and the previous buckets gets reused; further calls to set the expiration within the same wheel cycle // will pass in the same value and hence return false, thus the bucket with the same expiration will not // be enqueued multiple times. queue.offer(bucket); } return true; } else { // Out of the interval. Put it into the parent timer if (null == overflowWheel) { addOverflowWheel(); } return overflowWheel.add(timerTaskEntry); } } // Try to advance the clock public void advanceClock(long timeMs) { if (timeMs >= currentTime + tickMs) { currentTime = timeMs - (timeMs % tickMs); // Try to advance the clock of the overflow wheel if present if (null != overflowWheel) { overflowWheel.advanceClock(currentTime); } } } }





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