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// Copyright 2015 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Package rate 基于令牌桶算法实现了一个速率限制器。
// Package rate provides a rate limiter.
package rate

import (
	"context"
	"fmt"
	"math"
	"sync"
	"time"
)

//  Limit 定义事件发生的最大速率,代表每秒事件发生的次数。0表示事件不会发生

// Limit defines the maximum frequency of some events.
// Limit is represented as number of events per second.
// A zero Limit allows no events.
type Limit float64

// Inf 代表没有速率限制,始终允许事件发生
// Inf is the infinite rate limit; it allows all events (even if burst is zero).
const Inf = Limit(math.MaxFloat64)

// Every 把事件发生的最小时间间隔转换为Limit变量
// 比如interval=5s,表示5s一次,每秒的速率为1/5=0.2
// Every converts a minimum time interval between events to a Limit.
func Every(interval time.Duration) Limit {
	if interval <= 0 {
		return Inf
	}
	return 1 / Limit(interval.Seconds())
}

// Limiter 控制事件发生的频率。实现了一个大小为b,初始为满,每秒填充r个令牌的令牌桶。
// 在随便一个很大的时间间隔内,Limiter限制令牌的产生速率为每秒r个令牌,同时发生的事件数量为b个。
// 如果r==Inf(预定的的值,代表无限制的速率),Limiter忽略同时发生的事件数量b的值。
// 零值的Limiter是一个有效Limiter,但是会拒绝任何事件的发生。使用NewLimiter创建非零值的Limiter
// Limiter有三个主要的方法,Allow、Reserve、Wait。大多数调用都应该使用Wait。
// 这三个方法每次都只消费一个令牌。他们的不同之处在于当令牌桶里没有令牌时不同行为:
// 如果令牌桶里没有令牌,Allow返回false
// 如果令牌桶里没有令牌,Reserve返回

// A Limiter controls how frequently events are allowed to happen.
// It implements a "token bucket" of size b, initially full and refilled
// at rate r tokens per second.
// Informally, in any large enough time interval, the Limiter limits the
// rate to r tokens per second, with a maximum burst size of b events.
// As a special case, if r == Inf (the infinite rate), b is ignored.
// See https://en.wikipedia.org/wiki/Token_bucket for more about token buckets.
//
// The zero value is a valid Limiter, but it will reject all events.
// Use NewLimiter to create non-zero Limiters.
//
// Limiter has three main methods, Allow, Reserve, and Wait.
// Most callers should use Wait.
//
// Each of the three methods consumes a single token.
// They differ in their behavior when no token is available.
// If no token is available, Allow returns false.
// If no token is available, Reserve returns a reservation for a future token
// and the amount of time the caller must wait before using it.
// If no token is available, Wait blocks until one can be obtained
// or its associated context.Context is canceled.
//
// The methods AllowN, ReserveN, and WaitN consume n tokens.
type Limiter struct {
	mu     sync.Mutex
	limit  Limit   // 放入桶中的token的产生速率
	burst  int     // 同一时刻支持的最大突发事件的数量,也是令牌桶的最大容量
	tokens float64 // token的数量 使用float64类型是因为指定时间内产生的令牌数量可能不是整数个
	// last字段是tokens字段最后一次更新的时间
	// last is the last time the limiter's tokens field was updated
	last time.Time
	// lastEvent 上一个事件发生的时间
	// lastEvent is the latest time of a rate-limited event (past or future)
	lastEvent time.Time
}

// Limit returns the maximum overall event rate.
func (lim *Limiter) Limit() Limit {
	lim.mu.Lock()
	defer lim.mu.Unlock()
	return lim.limit
}

// Burst returns the maximum burst size. Burst is the maximum number of tokens
// that can be consumed in a single call to Allow, Reserve, or Wait, so higher
// Burst values allow more events to happen at once.
// A zero Burst allows no events, unless limit == Inf.
func (lim *Limiter) Burst() int {
	lim.mu.Lock()
	defer lim.mu.Unlock()
	return lim.burst
}

//
// NewLimiter returns a new Limiter that allows events up to rate r and permits
// bursts of at most b tokens.
func NewLimiter(r Limit, b int) *Limiter {
	return &Limiter{
		limit: r,
		burst: b,
	}
}

// Allow 判断是否允许发生一个事件
// Allow is shorthand for AllowN(time.Now(), 1).
func (lim *Limiter) Allow() bool {
	return lim.AllowN(time.Now(), 1)
}

// AllowN reports whether n events may happen at time now.
// Use this method if you intend to drop / skip events that exceed the rate limit.
// Otherwise use Reserve or Wait.
func (lim *Limiter) AllowN(now time.Time, n int) bool {
	return lim.reserveN(now, n, 0).ok
}

// Reservation 保存在一定时间延迟后Limiter允许执行的事件信息。
// Reservation可以被取消,取消后Limiter可以执行剩下的事件。

// A Reservation holds information about events that are permitted by a Limiter to 
// happen after a delay.
// A Reservation may be canceled, which may enable the Limiter to permit additional events.
type Reservation struct {
	ok        bool      // 令牌桶是否可以提供需要的令牌数量
	lim       *Limiter  // Limiter本省
	tokens    int       // 预定的令牌数量
	timeToAct time.Time // 令牌桶可以提供满足需要的令牌数量的时间
	// 预订时的限制速率,后续可以改变
	// This is the Limit at reservation time, it can change later.
	limit Limit
}

// OK returns whether the limiter can provide the requested number of tokens
// within the maximum wait time.  If OK is false, Delay returns InfDuration, and
// Cancel does nothing.
func (r *Reservation) OK() bool {
	return r.ok
}

// Delay is shorthand for DelayFrom(time.Now()).
func (r *Reservation) Delay() time.Duration {
	return r.DelayFrom(time.Now())
}

// InfDuration is the duration returned by Delay when a Reservation is not OK.
const InfDuration = time.Duration(1<<63 - 1)

// DelayFrom 返回满足预定条件前预定持有者必须要等待的时间。
// 0表示立刻可以满足。InfDuration表示限流器在最大的等待时间内无法满足此次预订的令牌数量。
// DelayFrom returns the duration for which the reservation holder must wait
// before taking the reserved action.  Zero duration means act immediately.
// InfDuration means the limiter cannot grant the tokens requested in this
// Reservation within the maximum wait time.
func (r *Reservation) DelayFrom(now time.Time) time.Duration {
	if !r.ok {
		return InfDuration
	}
	delay := r.timeToAct.Sub(now)
	if delay < 0 {
		return 0
	}
	return delay
}

// Cancel is shorthand for CancelAt(time.Now()).
func (r *Reservation) Cancel() {
	r.CancelAt(time.Now())
	return
}

// CancelAt 表示预订持有者将不会继续保留预订的令牌,并且尽可能的弥补此次预订对速率限制的影响,
// 因为一些预订的令牌可能已经被使用。
// CancelAt indicates that the reservation holder will not perform the reserved action
// and reverses the effects of this Reservation on the rate limit as much as possible,
// considering that other reservations may have already been made.
func (r *Reservation) CancelAt(now time.Time) {
	if !r.ok { // 预订失败的不需用操作
		return
	}

	r.lim.mu.Lock()
	defer r.lim.mu.Unlock()

	// 速率无限制、令牌数量为0、已过预定等待时间的无需操作
	if r.lim.limit == Inf || r.tokens == 0 || r.timeToAct.Before(now) {
		return
	}

	// 先计算取消后last和tokens的值

	// 计算需要恢复的令牌
	// r.lim.lastEvent的值是返回Reservation对象时的值
	// r.timeToAct是此次满足预定条件时事件发生的时间
	// lastEvent始终是大于等于(也就是等于或晚于)timeToAct
	// r.lim.lastEvent-r.timeToAct表示从前一个事件发生的时间到此次预订成功后事件发生
	// 的时间之间的差值,然后计算在这个时间段产生了多少令牌,即已经消耗掉的令牌数量,
	// 这些令牌不需要恢复

	// calculate tokens to restore
	// The duration between lim.lastEvent and r.timeToAct tells us how many tokens were reserved
	// after r was obtained. These tokens should not be restored.
	restoreTokens := float64(r.tokens) - r.limit.tokensFromDuration(r.lim.lastEvent.Sub(r.timeToAct))
	if restoreTokens <= 0 {
		return
	}

	// 计算lim上一次修改令牌数量后到现在应该产生的令牌的数量
	// advance time to now
	now, _, tokens := r.lim.advance(now)
	// calculate new number of tokens
	tokens += restoreTokens                            // 当前的令牌数量
	if burst := float64(r.lim.burst); tokens > burst { // 限制不超过最大令牌数量
		tokens = burst
	}

	// update state
	r.lim.last = now
	r.lim.tokens = tokens

	// 计算取消后lastEvent的值
	// 相等说明预约成功后没有任何事件发生,即没到预约事件发生的时间
	// 把reserveN函数里修改的lastEvent还原为reserveN调用前的上一个事件发生的时间,
	// 即上次调用reserveN函数并且预订成功时lastEvent的值,此次预订成功时事件发生的
	// 时间减去该值就是产生此次预订的令牌数量所消耗的时间。
	// 所以前一个事件的时间=此次预订成功事件发生的时间-产生此次预订的令牌数量的时间
	// reserveN函数timeToAct的计算反操作
	if r.timeToAct == r.lim.lastEvent {
		prevEvent := r.timeToAct.Add(r.limit.durationFromTokens(float64(-r.tokens)))
		if !prevEvent.Before(now) {
			r.lim.lastEvent = prevEvent
		}
	}

	return
}

// Reserve is shorthand for ReserveN(time.Now(), 1).
func (lim *Limiter) Reserve() *Reservation {
	return lim.ReserveN(time.Now(), 1)
}

// ReserveN returns a Reservation that indicates how long the caller must wait before 
// n events happen.
// The Limiter takes this Reservation into account when allowing future events.
// The returned Reservation’s OK() method returns false if n exceeds the Limiter's burst size.
// Usage example:
//   r := lim.ReserveN(time.Now(), 1)
//   if !r.OK() {
//     // Not allowed to act! Did you remember to set lim.burst to be > 0 ?
//     return
//   }
//   time.Sleep(r.Delay())
//   Act()
// Use this method if you wish to wait and slow down in accordance with the rate limit without
// dropping events.
// If you need to respect a deadline or cancel the delay, use Wait instead.
// To drop or skip events exceeding rate limit, use Allow instead.
func (lim *Limiter) ReserveN(now time.Time, n int) *Reservation {
	r := lim.reserveN(now, n, InfDuration)
	return &r
}

// Wait is shorthand for WaitN(ctx, 1).
func (lim *Limiter) Wait(ctx context.Context) (err error) {
	return lim.WaitN(ctx, 1)
}

// WaitN blocks until lim permits n events to happen.
// It returns an error if n exceeds the Limiter's burst size, the Context is
// canceled, or the expected wait time exceeds the Context's Deadline.
// The burst limit is ignored if the rate limit is Inf.
func (lim *Limiter) WaitN(ctx context.Context, n int) (err error) {
	lim.mu.Lock()
	burst := lim.burst
	limit := lim.limit
	lim.mu.Unlock()

	// 等待的令牌数量为什么不可以超过最大令牌数量?
	// 限流器是不阻塞的,只计算当前是否可满足需要的令牌数量,如果超过最大值,必定要等待一段时间
	if n > burst && limit != Inf {
		return fmt.Errorf("rate: Wait(n=%d) exceeds limiter's burst %d", n, burst)
	}
	// Check if ctx is already cancelled
	select {
	case <-ctx.Done():
		return ctx.Err()
	default:
	}

	// 等待时间不能超过context的截止时间
	// Determine wait limit
	now := time.Now()
	waitLimit := InfDuration
	if deadline, ok := ctx.Deadline(); ok {
		waitLimit = deadline.Sub(now)
	}

	// 预定指定数量的令牌
	// Reserve
	r := lim.reserveN(now, n, waitLimit)
	if !r.ok {
		return fmt.Errorf("rate: Wait(n=%d) would exceed context deadline", n)
	}
	// Wait if necessary
	delay := r.DelayFrom(now)
	if delay == 0 {
		return nil
	}
	t := time.NewTimer(delay)
	defer t.Stop()
	select {
	case <-t.C:
		// We can proceed.
		return nil
	case <-ctx.Done():
		// 如果在满足预订条件前,context取消了,就取消此次预订。
		// Context was canceled before we could proceed.  Cancel the
		// reservation, which may permit other events to proceed sooner.
		r.Cancel()
		return ctx.Err()
	}
}

// SetLimit is shorthand for SetLimitAt(time.Now(), newLimit).
func (lim *Limiter) SetLimit(newLimit Limit) {
	lim.SetLimitAt(time.Now(), newLimit)
}

// SetLimitAt 修改Limit的速率值。在SetLimitAt调用前使用Reserve或者Wait预定的并且还未发生的Reservation
// 可能不会使用到新的速率和新的桶大小。

// SetLimitAt sets a new Limit for the limiter. The new Limit, and Burst, may be violated
// or underutilized by those which reserved (using Reserve or Wait) but did not yet act
// before SetLimitAt was called.
func (lim *Limiter) SetLimitAt(now time.Time, newLimit Limit) {
	lim.mu.Lock()
	defer lim.mu.Unlock()

	now, _, tokens := lim.advance(now)

	lim.last = now
	lim.tokens = tokens
	lim.limit = newLimit
}

// SetBurst is shorthand for SetBurstAt(time.Now(), newBurst).
func (lim *Limiter) SetBurst(newBurst int) {
	lim.SetBurstAt(time.Now(), newBurst)
}

// SetBurstAt 设置Limiter的值,也就是令牌桶的大小

// SetBurstAt sets a new burst size for the limiter.
func (lim *Limiter) SetBurstAt(now time.Time, newBurst int) {
	lim.mu.Lock()
	defer lim.mu.Unlock()

	// 修改的同时更新一下当前时间桶内的令牌数量
	now, _, tokens := lim.advance(now)

	lim.last = now
	lim.tokens = tokens
	lim.burst = newBurst
}

// reserveN是AllowN, ReserveN和WaitN方法的辅助方法
// maxFutureReserve 指定最大的等待时间
// reserveN返回Reservation类型的值而不是指针,这样其他函数调用时不会在堆上
// 分配内存(一个指针变量大小的内存)

// reserveN is a helper method for AllowN, ReserveN, and WaitN.
// maxFutureReserve specifies the maximum reservation wait duration allowed.
// reserveN returns Reservation, not *Reservation, to avoid allocation in AllowN and WaitN.
func (lim *Limiter) reserveN(now time.Time, n int, maxFutureReserve time.Duration) Reservation {
	lim.mu.Lock()

	// 如果速率无限制,返回true,要多少有多少
	if lim.limit == Inf {
		lim.mu.Unlock()
		return Reservation{
			ok:        true,
			lim:       lim,
			tokens:    n,
			timeToAct: now,
		}
	}

	// 计算从上一次令牌变化到当前时间令牌的数量
	now, last, tokens := lim.advance(now)

	// 计算满足预订请求后还剩余的令牌数量
	// Calculate the remaining number of tokens resulting from the request.
	tokens -= float64(n)

	// 计算预订指定的令牌数量需要等待的时间,如果tokens大于0,表示不用等待。
	// 如果tokens小于0,则需要等待产生tokens个令牌的时间
	// Calculate the wait duration
	var waitDuration time.Duration
	if tokens < 0 {
		waitDuration = lim.limit.durationFromTokens(-tokens)
	}

	// 如果需要的令牌数量大于令牌桶的最大容量,必定是不能一次满足的
	// 如果等待时间大于最大等待时间,说明在最大等待时间内无法满足需要的令牌数量
	// Decide result
	ok := n <= lim.burst && waitDuration <= maxFutureReserve

	// Prepare reservation
	r := Reservation{
		ok:    ok,
		lim:   lim,
		limit: lim.limit,
	}
	if ok { // 如果可以提供需要的令牌数量
		r.tokens = n                        // 记录预订的令牌数量
		// timetoaction 记录满足所有需要的令牌数量时的时间,也即是满足后事件发生的时间
		r.timeToAct = now.Add(waitDuration) 
	}

	// Update state
	if ok {
		lim.last = now              // 桶内令牌数量的改变时间
		lim.tokens = tokens         // 当前桶内的令牌数量
		lim.lastEvent = r.timeToAct // 满足预订需求后事件发生的时间
	} else {
		lim.last = last // 如果预订满足不了,则只记录最后一次token数量变化的时间
	}

	lim.mu.Unlock()
	return r
}

// advance 计算并返回在经过的时间内lim的变化结果值(token数量的变化、更新时间)
// lim保持不变,调用advance函数时lim需要持有锁

// advance calculates and returns an updated state for lim resulting from the passage of time.
// lim is not changed.
// advance requires that lim.mu is held.
func (lim *Limiter) advance(now time.Time) (newNow time.Time, newLast time.Time, newTokens float64) {
	// 如果计算的时间早于最后一次令牌修改的时间
	last := lim.last
	if now.Before(last) {
		last = now
	}

	// 计算剩下的token产生所需要的最大时间
	// 当last是一个很久之前的时间时,避免使下面的delta变量溢出
	// Avoid making delta overflow below when last is very old.
	maxElapsed := lim.limit.durationFromTokens(float64(lim.burst) - lim.tokens)
	elapsed := now.Sub(last) // 时间段
	if elapsed > maxElapsed {
		elapsed = maxElapsed
	}

	// 计算在elapsed时间段内产生的token数量
	// Calculate the new number of tokens, due to time that passed.
	delta := lim.limit.tokensFromDuration(elapsed)
	tokens := lim.tokens + delta
	if burst := float64(lim.burst); tokens > burst { // token数量最大不超过burst
		tokens = burst
	}

	return now, last, tokens
}

// durationFromTokens 是个单位转换函数,计算以每秒limit个token的速率产生tokens个token的时间。
// tokens支持负值

// durationFromTokens is a unit conversion function from the number of tokens to the duration
// of time it takes to accumulate them at a rate of limit tokens per second.
func (limit Limit) durationFromTokens(tokens float64) time.Duration {
	seconds := tokens / float64(limit)
	return time.Nanosecond * time.Duration(1e9*seconds)
}

// tokensFromDuration 是个单位转换函数,计算在指定的时间隔间内以每秒limit个token的速率
// 产生的token数量。

// tokensFromDuration is a unit conversion function from a time duration to the number of tokens
// which could be accumulated during that duration at a rate of limit tokens per second.
func (limit Limit) tokensFromDuration(d time.Duration) float64 {
	// Split the integer and fractional parts ourself to minimize rounding errors.
	// See golang.org/issues/34861.
	sec := float64(d/time.Second) * float64(limit)
	nsec := float64(d%time.Second) * float64(limit)
	return sec + nsec/1e9
}

参考资料

Golang 限流器 time/rate 实现剖析
Golang 限流器 time/rate 使用介绍
不得不了解系列之限流
How to handle API rate limits: Do your integrations work at scale?
Golang rate 无法延迟重排的 BUG