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/*
 * Copyright (C) 2012 The Guava Authors
 *
 * 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 com.google.common.util.concurrent;

import com.google.common.annotations.Beta;
import com.google.common.annotations.VisibleForTesting;
import com.google.common.base.Preconditions;
import com.google.common.base.Ticker;

import java.util.concurrent.TimeUnit;

import javax.annotation.concurrent.ThreadSafe;

/**
 * A rate limiter. Conceptually, a rate limiter distributes permits at a
 * configurable rate. Each {@link #acquire()} blocks if necessary until a permit is
 * available, and then takes it. Once acquired, permits need not be released.
 *
 * 

Rate limiters are often used to restrict the rate at which some * physical or logical resource is accessed. This is in contrast to {@link * java.util.concurrent.Semaphore} which restricts the number of concurrent * accesses instead of the rate (note though that concurrency and rate are closely related, * e.g. see Little's Law). * *

A {@code RateLimiter} is defined primarily by the rate at which permits * are issued. Absent additional configuration, permits will be distributed at a * fixed rate, defined in terms of permits per second. Permits will be distributed * smoothly, with the delay between individual permits being adjusted to ensure * that the configured rate is maintained. * *

It is possible to configure a {@code RateLimiter} to have a warmup * period during which time the permits issued each second steadily increases until * it hits the stable rate. * *

As an example, imagine that we have a list of tasks to execute, but we don't want to * submit more than 2 per second: *

  {@code
 *  final RateLimiter rateLimiter = RateLimiter.create(2.0); // rate is "2 permits per second"
 *  void submitTasks(List tasks, Executor executor) {
 *    for (Runnable task : tasks) {
 *      rateLimiter.acquire(); // may wait
 *      executor.execute(task);
 *    }
 *  }
 *}
* *

As another example, imagine that we produce a stream of data, and we want to cap it * at 5kb per second. This could be accomplished by requiring a permit per byte, and specifying * a rate of 5000 permits per second: *

  {@code
 *  final RateLimiter rateLimiter = RateLimiter.create(5000.0); // rate = 5000 permits per second
 *  void submitPacket(byte[] packet) {
 *    rateLimiter.acquire(packet.length);
 *    networkService.send(packet);
 *  }
 *}
* *

It is important to note that the number of permits requested never * affect the throttling of the request itself (an invocation to {@code acquire(1)} * and an invocation to {@code acquire(1000)} will result in exactly the same throttling, if any), * but it affects the throttling of the next request. I.e., if an expensive task * arrives at an idle RateLimiter, it will be granted immediately, but it is the next * request that will experience extra throttling, thus paying for the cost of the expensive * task. * *

Note: {@code RateLimiter} does not provide fairness guarantees. * * @author Dimitris Andreou * @since 13.0 */ // TODO(user): switch to nano precision. A natural unit of cost is "bytes", and a micro precision // would mean a maximum rate of "1MB/s", which might be small in some cases. @ThreadSafe @Beta public abstract class RateLimiter { /* * How is the RateLimiter designed, and why? * * The primary feature of a RateLimiter is its "stable rate", the maximum rate that * is should allow at normal conditions. This is enforced by "throttling" incoming * requests as needed, i.e. compute, for an incoming request, the appropriate throttle time, * and make the calling thread wait as much. * * The simplest way to maintain a rate of QPS is to keep the timestamp of the last * granted request, and ensure that (1/QPS) seconds have elapsed since then. For example, * for a rate of QPS=5 (5 tokens per second), if we ensure that a request isn't granted * earlier than 200ms after the the last one, then we achieve the intended rate. * If a request comes and the last request was granted only 100ms ago, then we wait for * another 100ms. At this rate, serving 15 fresh permits (i.e. for an acquire(15) request) * naturally takes 3 seconds. * * It is important to realize that such a RateLimiter has a very superficial memory * of the past: it only remembers the last request. What if the RateLimiter was unused for * a long period of time, then a request arrived and was immediately granted? * This RateLimiter would immediately forget about that past underutilization. This may * result in either underutilization or overflow, depending on the real world consequences * of not using the expected rate. * * Past underutilization could mean that excess resources are available. Then, the RateLimiter * should speed up for a while, to take advantage of these resources. This is important * when the rate is applied to networking (limiting bandwidth), where past underutilization * typically translates to "almost empty buffers", which can be filled immediately. * * On the other hand, past underutilization could mean that "the server responsible for * handling the request has become less ready for future requests", i.e. its caches become * stale, and requests become more likely to trigger expensive operations (a more extreme * case of this example is when a server has just booted, and it is mostly busy with getting * itself up to speed). * * To deal with such scenarios, we add an extra dimension, that of "past underutilization", * modeled by "storedPermits" variable. This variable is zero when there is no * underutilization, and it can grow up to maxStoredPermits, for sufficiently large * underutilization. So, the requested permits, by an invocation acquire(permits), * are served from: * - stored permits (if available) * - fresh permits (for any remaining permits) * * How this works is best explained with an example: * * For a RateLimiter that produces 1 token per second, every second * that goes by with the RateLimiter being unused, we increase storedPermits by 1. * Say we leave the RateLimiter unused for 10 seconds (i.e., we expected a request at time * X, but we are at time X + 10 seconds before a request actually arrives; this is * also related to the point made in the last paragraph), thus storedPermits * becomes 10.0 (assuming maxStoredPermits >= 10.0). At that point, a request of acquire(3) * arrives. We serve this request out of storedPermits, and reduce that to 7.0 (how this is * translated to throttling time is discussed later). Immediately after, assume that an * acquire(10) request arriving. We serve the request partly from storedPermits, * using all the remaining 7.0 permits, and the remaining 3.0, we serve them by fresh permits * produced by the rate limiter. * * We already know how much time it takes to serve 3 fresh permits: if the rate is * "1 token per second", then this will take 3 seconds. But what does it mean to serve 7 * stored permits? As explained above, there is no unique answer. If we are primarily * interested to deal with underutilization, then we want stored permits to be given out * /faster/ than fresh ones, because underutilization = free resources for the taking. * If we are primarily interested to deal with overflow, then stored permits could * be given out /slower/ than fresh ones. Thus, we require a (different in each case) * function that translates storedPermits to throtting time. * * This role is played by storedPermitsToWaitTime(double storedPermits, double permitsToTake). * The underlying model is a continuous function mapping storedPermits * (from 0.0 to maxStoredPermits) onto the 1/rate (i.e. intervals) that is effective at the given * storedPermits. "storedPermits" essentially measure unused time; we spend unused time * buying/storing permits. Rate is "permits / time", thus "1 / rate = time / permits". * Thus, "1/rate" (time / permits) times "permits" gives time, i.e., integrals on this * function (which is what storedPermitsToWaitTime() computes) correspond to minimum intervals * between subsequent requests, for the specified number of requested permits. * * Here is an example of storedPermitsToWaitTime: * If storedPermits == 10.0, and we want 3 permits, we take them from storedPermits, * reducing them to 7.0, and compute the throttling for these as a call to * storedPermitsToWaitTime(storedPermits = 10.0, permitsToTake = 3.0), which will * evaluate the integral of the function from 7.0 to 10.0. * * Using integrals guarantees that the effect of a single acquire(3) is equivalent * to { acquire(1); acquire(1); acquire(1); }, or { acquire(2); acquire(1); }, etc, * since the integral of the function in [7.0, 10.0] is equivalent to the sum of the * integrals of [7.0, 8.0], [8.0, 9.0], [9.0, 10.0] (and so on), no matter * what the function is. This guarantees that we handle correctly requests of varying weight * (permits), /no matter/ what the actual function is - so we can tweak the latter freely. * (The only requirement, obviously, is that we can compute its integrals). * * Note well that if, for this function, we chose a horizontal line, at height of exactly * (1/QPS), then the effect of the function is non-existent: we serve storedPermits at * exactly the same cost as fresh ones (1/QPS is the cost for each). We use this trick later. * * If we pick a function that goes /below/ that horizontal line, it means that we reduce * the area of the function, thus time. Thus, the RateLimiter becomes /faster/ after a * period of underutilization. If, on the other hand, we pick a function that * goes /above/ that horizontal line, then it means that the area (time) is increased, * thus storedPermits are more costly than fresh permits, thus the RateLimiter becomes * /slower/ after a period of underutilization. * * Last, but not least: consider a RateLimiter with rate of 1 permit per second, currently * completely unused, and an expensive acquire(100) request comes. It would be nonsensical * to just wait for 100 seconds, and /then/ start the actual task. Why wait without doing * anything? A much better approach is to /allow/ the request right away (as if it was an * acquire(1) request instead), and postpone /subsequent/ requests as needed. In this version, * we allow starting the task immediately, and postpone by 100 seconds future requests, * thus we allow for work to get done in the meantime instead of waiting idly. * * This has important consequences: it means that the RateLimiter doesn't remember the time * of the _last_ request, but it remembers the (expected) time of the _next_ request. This * also enables us to tell immediately (see tryAcquire(timeout)) whether a particular * timeout is enough to get us to the point of the next scheduling time, since we always * maintain that. And what we mean by "an unused RateLimiter" is also defined by that * notion: when we observe that the "expected arrival time of the next request" is actually * in the past, then the difference (now - past) is the amount of time that the RateLimiter * was formally unused, and it is that amount of time which we translate to storedPermits. * (We increase storedPermits with the amount of permits that would have been produced * in that idle time). So, if rate == 1 permit per second, and arrivals come exactly * one second after the previous, then storedPermits is _never_ increased -- we would only * increase it for arrivals _later_ than the expected one second. */ /** * Creates a {@code RateLimiter} with the specified stable throughput, given as * "permits per second" (commonly referred to as QPS, queries per second). * *

The returned {@code RateLimiter} ensures that on average no more than {@code * permitsPerSecond} are issued during any given second, with sustained requests * being smoothly spread over each second. When the incoming request rate exceeds * {@code permitsPerSecond} the rate limiter will release one permit every {@code * (1.0 / permitsPerSecond)} seconds. When the rate limiter is unused, * bursts of up to {@code permitsPerSecond} permits will be allowed, with subsequent * requests being smoothly limited at the stable rate of {@code permitsPerSecond}. * * @param permitsPerSecond the rate of the returned {@code RateLimiter}, measured in * how many permits become available per second. */ public static RateLimiter create(double permitsPerSecond) { return create(SleepingTicker.SYSTEM_TICKER, permitsPerSecond); } @VisibleForTesting static RateLimiter create(SleepingTicker ticker, double permitsPerSecond) { RateLimiter rateLimiter = new Bursty(ticker); rateLimiter.setRate(permitsPerSecond); return rateLimiter; } /** * Creates a {@code RateLimiter} with the specified stable throughput, given as * "permits per second" (commonly referred to as QPS, queries per second), and a * warmup period, during which the {@code RateLimiter} smoothly ramps up its rate, * until it reaches its maximum rate at the end of the period (as long as there are enough * requests to saturate it). Similarly, if the {@code RateLimiter} is left unused for * a duration of {@code warmupPeriod}, it will gradually return to its "cold" state, * i.e. it will go through the same warming up process as when it was first created. * *

The returned {@code RateLimiter} is intended for cases where the resource that actually * fulfils the requests (e.g., a remote server) needs "warmup" time, rather than * being immediately accessed at the stable (maximum) rate. * *

The returned {@code RateLimiter} starts in a "cold" state (i.e. the warmup period * will follow), and if it is left unused for long enough, it will return to that state. * * @param permitsPerSecond the rate of the returned {@code RateLimiter}, measured in * how many permits become available per second * @param warmupPeriod the duration of the period where the {@code RateLimiter} ramps up its * rate, before reaching its stable (maximum) rate * @param unit the time unit of the warmupPeriod argument */ // TODO(user): add a burst size of 1-second-worth of permits, as in the metronome? public static RateLimiter create(double permitsPerSecond, long warmupPeriod, TimeUnit unit) { return create(SleepingTicker.SYSTEM_TICKER, permitsPerSecond, warmupPeriod, unit); } @VisibleForTesting static RateLimiter create( SleepingTicker ticker, double permitsPerSecond, long warmupPeriod, TimeUnit timeUnit) { RateLimiter rateLimiter = new WarmingUp(ticker, warmupPeriod, timeUnit); rateLimiter.setRate(permitsPerSecond); return rateLimiter; } @VisibleForTesting static RateLimiter createBursty( SleepingTicker ticker, double permitsPerSecond, int maxBurstSize) { Bursty rateLimiter = new Bursty(ticker); rateLimiter.setRate(permitsPerSecond); rateLimiter.maxPermits = maxBurstSize; return rateLimiter; } /** * The underlying timer; used both to measure elapsed time and sleep as necessary. A separate * object to facilitate testing. */ private final SleepingTicker ticker; /** * The timestamp when the RateLimiter was created; used to avoid possible overflow/time-wrapping * errors. */ private final long offsetNanos; /** * The currently stored permits. */ double storedPermits; /** * The maximum number of stored permits. */ double maxPermits; /** * The interval between two unit requests, at our stable rate. E.g., a stable rate of 5 permits * per second has a stable interval of 200ms. */ volatile double stableIntervalMicros; private final Object mutex = new Object(); /** * The time when the next request (no matter its size) will be granted. After granting a request, * this is pushed further in the future. Large requests push this further than small requests. */ private long nextFreeTicketMicros = 0L; // could be either in the past or future private RateLimiter(SleepingTicker ticker) { this.ticker = ticker; this.offsetNanos = ticker.read(); } /** * Updates the stable rate of this {@code RateLimiter}, that is, the * {@code permitsPerSecond} argument provided in the factory method that * constructed the {@code RateLimiter}. Currently throttled threads will not * be awakened as a result of this invocation, thus they do not observe the new rate; * only subsequent requests will. * *

Note though that, since each request repays (by waiting, if necessary) the cost * of the previous request, this means that the very next request * after an invocation to {@code setRate} will not be affected by the new rate; * it will pay the cost of the previous request, which is in terms of the previous rate. * *

The behavior of the {@code RateLimiter} is not modified in any other way, * e.g. if the {@code RateLimiter} was configured with a warmup period of 20 seconds, * it still has a warmup period of 20 seconds after this method invocation. * * @param permitsPerSecond the new stable rate of this {@code RateLimiter}. */ public final void setRate(double permitsPerSecond) { Preconditions.checkArgument(permitsPerSecond > 0.0 && !Double.isNaN(permitsPerSecond), "rate must be positive"); synchronized (mutex) { resync(readSafeMicros()); double stableIntervalMicros = TimeUnit.SECONDS.toMicros(1L) / permitsPerSecond; this.stableIntervalMicros = stableIntervalMicros; doSetRate(permitsPerSecond, stableIntervalMicros); } } abstract void doSetRate(double permitsPerSecond, double stableIntervalMicros); /** * Returns the stable rate (as {@code permits per seconds}) with which this * {@code RateLimiter} is configured with. The initial value of this is the same as * the {@code permitsPerSecond} argument passed in the factory method that produced * this {@code RateLimiter}, and it is only updated after invocations * to {@linkplain #setRate}. */ public final double getRate() { return TimeUnit.SECONDS.toMicros(1L) / stableIntervalMicros; } /** * Acquires a permit from this {@code RateLimiter}, blocking until the request can be granted. * *

This method is equivalent to {@code acquire(1)}. */ public void acquire() { acquire(1); } /** * Acquires the given number of permits from this {@code RateLimiter}, blocking until the * request be granted. * * @param permits the number of permits to acquire */ public void acquire(int permits) { checkPermits(permits); long microsToWait; synchronized (mutex) { microsToWait = reserveNextTicket(permits, readSafeMicros()); } ticker.sleepMicrosUninterruptibly(microsToWait); } /** * Acquires a permit from this {@code RateLimiter} if it can be obtained * without exceeding the specified {@code timeout}, or returns {@code false} * immediately (without waiting) if the permit would not have been granted * before the timeout expired. * *

This method is equivalent to {@code tryAcquire(1, timeout, unit)}. * * @param timeout the maximum time to wait for the permit * @param unit the time unit of the timeout argument * @return {@code true} if the permit was acquired, {@code false} otherwise */ public boolean tryAcquire(long timeout, TimeUnit unit) { return tryAcquire(1, timeout, unit); } /** * Acquires permits from this {@link RateLimiter} if it can be acquired immediately without delay. * *

* This method is equivalent to {@code tryAcquire(permits, 0, anyUnit)}. * * @param permits the number of permits to acquire * @return {@code true} if the permits were acquired, {@code false} otherwise * @since 14.0 */ public boolean tryAcquire(int permits) { return tryAcquire(permits, 0, TimeUnit.MICROSECONDS); } /** * Acquires a permit from this {@link RateLimiter} if it can be acquired immediately without * delay. * *

* This method is equivalent to {@code tryAcquire(1)}. * * @return {@code true} if the permit was acquired, {@code false} otherwise * @since 14.0 */ public boolean tryAcquire() { return tryAcquire(1, 0, TimeUnit.MICROSECONDS); } /** * Acquires the given number of permits from this {@code RateLimiter} if it can be obtained * without exceeding the specified {@code timeout}, or returns {@code false} * immediately (without waiting) if the permits would not have been granted * before the timeout expired. * * @param permits the number of permits to acquire * @param timeout the maximum time to wait for the permits * @param unit the time unit of the timeout argument * @return {@code true} if the permits were acquired, {@code false} otherwise */ public boolean tryAcquire(int permits, long timeout, TimeUnit unit) { long timeoutMicros = unit.toMicros(timeout); checkPermits(permits); long microsToWait; synchronized (mutex) { long nowMicros = readSafeMicros(); if (nextFreeTicketMicros > nowMicros + timeoutMicros) { return false; } else { microsToWait = reserveNextTicket(permits, nowMicros); } } ticker.sleepMicrosUninterruptibly(microsToWait); return true; } private static void checkPermits(int permits) { Preconditions.checkArgument(permits > 0, "Requested permits must be positive"); } /** * Reserves next ticket and returns the wait time that the caller must wait for. */ private long reserveNextTicket(double requiredPermits, long nowMicros) { resync(nowMicros); long microsToNextFreeTicket = nextFreeTicketMicros - nowMicros; double storedPermitsToSpend = Math.min(requiredPermits, this.storedPermits); double freshPermits = requiredPermits - storedPermitsToSpend; long waitMicros = storedPermitsToWaitTime(this.storedPermits, storedPermitsToSpend) + (long) (freshPermits * stableIntervalMicros); this.nextFreeTicketMicros = nextFreeTicketMicros + waitMicros; this.storedPermits -= storedPermitsToSpend; return microsToNextFreeTicket; } /** * Translates a specified portion of our currently stored permits which we want to * spend/acquire, into a throttling time. Conceptually, this evaluates the integral * of the underlying function we use, for the range of * [(storedPermits - permitsToTake), storedPermits]. * * This always holds: {@code 0 <= permitsToTake <= storedPermits} */ abstract long storedPermitsToWaitTime(double storedPermits, double permitsToTake); private void resync(long nowMicros) { // if nextFreeTicket is in the past, resync to now if (nowMicros > nextFreeTicketMicros) { storedPermits = Math.min(maxPermits, storedPermits + (nowMicros - nextFreeTicketMicros) / stableIntervalMicros); nextFreeTicketMicros = nowMicros; } } private long readSafeMicros() { return TimeUnit.NANOSECONDS.toMicros(ticker.read() - offsetNanos); } @Override public String toString() { return String.format("RateLimiter[stableRate=%3.1fqps]", 1000000.0 / stableIntervalMicros); } /** * This implements the following function: * * ^ throttling * | * 3*stable + / * interval | /. * (cold) | / . * | / . <-- "warmup period" is the area of the trapezoid between * 2*stable + / . halfPermits and maxPermits * interval | / . * | / . * | / . * stable +----------/ WARM . } * interval | . UP . } <-- this rectangle (from 0 to maxPermits, and * | . PERIOD. } height == stableInterval) defines the cooldown period, * | . . } and we want cooldownPeriod == warmupPeriod * |---------------------------------> storedPermits * (halfPermits) (maxPermits) * * Before going into the details of this particular function, let's keep in mind the basics: * 1) The state of the RateLimiter (storedPermits) is a vertical line in this figure. * 2) When the RateLimiter is not used, this goes right (up to maxPermits) * 3) When the RateLimiter is used, this goes left (down to zero), since if we have storedPermits, * we serve from those first * 4) When _unused_, we go right at the same speed (rate)! I.e., if our rate is * 2 permits per second, and 3 unused seconds pass, we will always save 6 permits * (no matter what our initial position was), up to maxPermits. * If we invert the rate, we get the "stableInterval" (interval between two requests * in a perfectly spaced out sequence of requests of the given rate). Thus, if you * want to see "how much time it will take to go from X storedPermits to X+K storedPermits?", * the answer is always stableInterval * K. In the same example, for 2 permits per second, * stableInterval is 500ms. Thus to go from X storedPermits to X+6 storedPermits, we * require 6 * 500ms = 3 seconds. * * In short, the time it takes to move to the right (save K permits) is equal to the * rectangle of width == K and height == stableInterval. * 4) When _used_, the time it takes, as explained in the introductory class note, is * equal to the integral of our function, between X permits and X-K permits, assuming * we want to spend K saved permits. * * In summary, the time it takes to move to the left (spend K permits), is equal to the * area of the function of width == K. * * Let's dive into this function now: * * When we have storedPermits <= halfPermits (the left portion of the function), then * we spend them at the exact same rate that * fresh permits would be generated anyway (that rate is 1/stableInterval). We size * this area to be equal to _half_ the specified warmup period. Why we need this? * And why half? We'll explain shortly below (after explaining the second part). * * Stored permits that are beyond halfPermits, are mapped to an ascending line, that goes * from stableInterval to 3 * stableInterval. The average height for that part is * 2 * stableInterval, and is sized appropriately to have an area _equal_ to the * specified warmup period. Thus, by point (4) above, it takes "warmupPeriod" amount of time * to go from maxPermits to halfPermits. * * BUT, by point (3) above, it only takes "warmupPeriod / 2" amount of time to return back * to maxPermits, from halfPermits! (Because the trapezoid has double the area of the rectangle * of height stableInterval and equivalent width). We decided that the "cooldown period" * time should be equivalent to "warmup period", thus a fully saturated RateLimiter * (with zero stored permits, serving only fresh ones) can go to a fully unsaturated * (with storedPermits == maxPermits) in the same amount of time it takes for a fully * unsaturated RateLimiter to return to the stableInterval -- which happens in halfPermits, * since beyond that point, we use a horizontal line of "stableInterval" height, simulating * the regular rate. * * Thus, we have figured all dimensions of this shape, to give all the desired * properties: * - the width is warmupPeriod / stableInterval, to make cooldownPeriod == warmupPeriod * - the slope starts at the middle, and goes from stableInterval to 3*stableInterval so * to have halfPermits being spend in double the usual time (half the rate), while their * respective rate is steadily ramping up */ private static class WarmingUp extends RateLimiter { final long warmupPeriodMicros; /** * The slope of the line from the stable interval (when permits == 0), to the cold interval * (when permits == maxPermits) */ private double slope; private double halfPermits; WarmingUp(SleepingTicker ticker, long warmupPeriod, TimeUnit timeUnit) { super(ticker); this.warmupPeriodMicros = timeUnit.toMicros(warmupPeriod); } @Override void doSetRate(double permitsPerSecond, double stableIntervalMicros) { double oldMaxPermits = maxPermits; maxPermits = warmupPeriodMicros / stableIntervalMicros; halfPermits = maxPermits / 2.0; // Stable interval is x, cold is 3x, so on average it's 2x. Double the time -> halve the rate double coldIntervalMicros = stableIntervalMicros * 3.0; slope = (coldIntervalMicros - stableIntervalMicros) / halfPermits; if (oldMaxPermits == Double.POSITIVE_INFINITY) { // if we don't special-case this, we would get storedPermits == NaN, below storedPermits = 0.0; } else { storedPermits = (oldMaxPermits == 0.0) ? maxPermits // initial state is cold : storedPermits * maxPermits / oldMaxPermits; } } @Override long storedPermitsToWaitTime(double storedPermits, double permitsToTake) { double availablePermitsAboveHalf = storedPermits - halfPermits; long micros = 0; // measuring the integral on the right part of the function (the climbing line) if (availablePermitsAboveHalf > 0.0) { double permitsAboveHalfToTake = Math.min(availablePermitsAboveHalf, permitsToTake); micros = (long) (permitsAboveHalfToTake * (permitsToTime(availablePermitsAboveHalf) + permitsToTime(availablePermitsAboveHalf - permitsAboveHalfToTake)) / 2.0); permitsToTake -= permitsAboveHalfToTake; } // measuring the integral on the left part of the function (the horizontal line) micros += (stableIntervalMicros * permitsToTake); return micros; } private double permitsToTime(double permits) { return stableIntervalMicros + permits * slope; } } /** * This implements a trivial function, where storedPermits are translated to * zero throttling - thus, a client gets an infinite speedup for permits acquired out * of the storedPermits pool. This is also used for the special case of the "metronome", * where the width of the function is also zero; maxStoredPermits is zero, thus * storedPermits and permitsToTake are always zero as well. Such a RateLimiter can * not save permits when unused, thus all permits it serves are fresh, using the * designated rate. */ private static class Bursty extends RateLimiter { Bursty(SleepingTicker ticker) { super(ticker); } @Override void doSetRate(double permitsPerSecond, double stableIntervalMicros) { double oldMaxPermits = this.maxPermits; /* * We allow the equivalent work of up to one second to be granted with zero waiting, if the * rate limiter has been unused for as much. This is to avoid potentially producing tiny * wait interval between subsequent requests for sufficiently large rates, which would * unnecessarily overconstrain the thread scheduler. */ maxPermits = permitsPerSecond; // one second worth of permits storedPermits = (oldMaxPermits == 0.0) ? 0.0 // initial state : storedPermits * maxPermits / oldMaxPermits; } @Override long storedPermitsToWaitTime(double storedPermits, double permitsToTake) { return 0L; } } @VisibleForTesting static abstract class SleepingTicker extends Ticker { abstract void sleepMicrosUninterruptibly(long micros); static final SleepingTicker SYSTEM_TICKER = new SleepingTicker() { @Override public long read() { return systemTicker().read(); } @Override public void sleepMicrosUninterruptibly(long micros) { if (micros > 0) { Uninterruptibles.sleepUninterruptibly(micros, TimeUnit.MICROSECONDS); } } }; } }





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