/*
Copyright 2019 The Kubernetes 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 queueset

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

	"github.com/pkg/errors"

	"k8s.io/apimachinery/pkg/util/clock"
	"k8s.io/apimachinery/pkg/util/runtime"
	"k8s.io/apiserver/pkg/util/flowcontrol/counter"
	"k8s.io/apiserver/pkg/util/flowcontrol/debug"
	fq "k8s.io/apiserver/pkg/util/flowcontrol/fairqueuing"
	"k8s.io/apiserver/pkg/util/flowcontrol/fairqueuing/promise/lockingpromise"
	"k8s.io/apiserver/pkg/util/flowcontrol/metrics"
	"k8s.io/apiserver/pkg/util/shufflesharding"
	"k8s.io/klog/v2"
)

const nsTimeFmt = "2006-01-02 15:04:05.000000000"

// queueSetFactory implements the QueueSetFactory interface
// queueSetFactory makes QueueSet objects.
type queueSetFactory struct {
	counter counter.GoRoutineCounter
	clock   clock.PassiveClock
}

// `*queueSetCompleter` implements QueueSetCompleter.  Exactly one of
// the fields `factory` and `theSet` is non-nil.
type queueSetCompleter struct {
	factory *queueSetFactory
	obsPair metrics.TimedObserverPair
	theSet  *queueSet
	qCfg    fq.QueuingConfig
	dealer  *shufflesharding.Dealer
}

// queueSet implements the Fair Queuing for Server Requests technique
// described in this package's doc, and a pointer to one implements
// the QueueSet interface.  The clock, GoRoutineCounter, and estimated
// service time should not be changed; the fields listed after the
// lock must be accessed only while holding the lock.  The methods of
// this type follow the naming convention that the suffix "Locked"
// means the caller must hold the lock; for a method whose name does
// not end in "Locked" either acquires the lock or does not care about
// locking.
type queueSet struct {
	clock                clock.PassiveClock
	counter              counter.GoRoutineCounter
	estimatedServiceTime float64
	obsPair              metrics.TimedObserverPair

	lock sync.Mutex

	// qCfg holds the current queuing configuration.  Its
	// DesiredNumQueues may be less than the current number of queues.
	// If its DesiredNumQueues is zero then its other queuing
	// parameters retain the settings they had when DesiredNumQueues
	// was last non-zero (if ever).
	qCfg fq.QueuingConfig

	// the current dispatching configuration.
	dCfg fq.DispatchingConfig

	// If `config.DesiredNumQueues` is non-zero then dealer is not nil
	// and is good for `config`.
	dealer *shufflesharding.Dealer

	// queues may be longer than the desired number, while the excess
	// queues are still draining.
	queues []*queue

	// virtualTime is the number of virtual seconds since process startup
	virtualTime float64

	// lastRealTime is what `clock.Now()` yielded when `virtualTime` was last updated
	lastRealTime time.Time

	// robinIndex is the index of the last queue dispatched
	robinIndex int

	// totRequestsWaiting is the sum, over all the queues, of the
	// number of requests waiting in that queue
	totRequestsWaiting int

	// totRequestsExecuting is the total number of requests of this
	// queueSet that are currently executing.  That is the same as the
	// sum, over all the queues, of the number of requests executing
	// from that queue.
	totRequestsExecuting int
}

// NewQueueSetFactory creates a new QueueSetFactory object
func NewQueueSetFactory(c clock.PassiveClock, counter counter.GoRoutineCounter) fq.QueueSetFactory {
	return &queueSetFactory{
		counter: counter,
		clock:   c,
	}
}

func (qsf *queueSetFactory) BeginConstruction(qCfg fq.QueuingConfig, obsPair metrics.TimedObserverPair) (fq.QueueSetCompleter, error) {
	dealer, err := checkConfig(qCfg)
	if err != nil {
		return nil, err
	}
	return &queueSetCompleter{
		factory: qsf,
		obsPair: obsPair,
		qCfg:    qCfg,
		dealer:  dealer}, nil
}

// checkConfig returns a non-nil Dealer if the config is valid and
// calls for one, and returns a non-nil error if the given config is
// invalid.
func checkConfig(qCfg fq.QueuingConfig) (*shufflesharding.Dealer, error) {
	if qCfg.DesiredNumQueues == 0 {
		return nil, nil
	}
	dealer, err := shufflesharding.NewDealer(qCfg.DesiredNumQueues, qCfg.HandSize)
	if err != nil {
		err = errors.Wrap(err, "the QueueSetConfig implies an invalid shuffle sharding config (DesiredNumQueues is deckSize)")
	}
	return dealer, err
}

func (qsc *queueSetCompleter) Complete(dCfg fq.DispatchingConfig) fq.QueueSet {
	qs := qsc.theSet
	if qs == nil {
		qs = &queueSet{
			clock:                qsc.factory.clock,
			counter:              qsc.factory.counter,
			estimatedServiceTime: 60,
			obsPair:              qsc.obsPair,
			qCfg:                 qsc.qCfg,
			virtualTime:          0,
			lastRealTime:         qsc.factory.clock.Now(),
		}
	}
	qs.setConfiguration(qsc.qCfg, qsc.dealer, dCfg)
	return qs
}

// createQueues is a helper method for initializing an array of n queues
func createQueues(n, baseIndex int) []*queue {
	fqqueues := make([]*queue, n)
	for i := 0; i < n; i++ {
		fqqueues[i] = &queue{index: baseIndex + i, requests: make([]*request, 0)}
	}
	return fqqueues
}

func (qs *queueSet) BeginConfigChange(qCfg fq.QueuingConfig) (fq.QueueSetCompleter, error) {
	dealer, err := checkConfig(qCfg)
	if err != nil {
		return nil, err
	}
	return &queueSetCompleter{
		theSet: qs,
		qCfg:   qCfg,
		dealer: dealer}, nil
}

// SetConfiguration is used to set the configuration for a queueSet.
// Update handling for when fields are updated is handled here as well -
// eg: if DesiredNum is increased, SetConfiguration reconciles by
// adding more queues.
func (qs *queueSet) setConfiguration(qCfg fq.QueuingConfig, dealer *shufflesharding.Dealer, dCfg fq.DispatchingConfig) {
	qs.lockAndSyncTime()
	defer qs.lock.Unlock()

	if qCfg.DesiredNumQueues > 0 {
		// Adding queues is the only thing that requires immediate action
		// Removing queues is handled by omitting indexes >DesiredNum from
		// chooseQueueIndexLocked
		numQueues := len(qs.queues)
		if qCfg.DesiredNumQueues > numQueues {
			qs.queues = append(qs.queues,
				createQueues(qCfg.DesiredNumQueues-numQueues, len(qs.queues))...)
		}
	} else {
		qCfg.QueueLengthLimit = qs.qCfg.QueueLengthLimit
		qCfg.HandSize = qs.qCfg.HandSize
		qCfg.RequestWaitLimit = qs.qCfg.RequestWaitLimit
	}

	qs.qCfg = qCfg
	qs.dCfg = dCfg
	qs.dealer = dealer
	qll := qCfg.QueueLengthLimit
	if qll < 1 {
		qll = 1
	}
	qs.obsPair.RequestsWaiting.SetX1(float64(qll))
	qs.obsPair.RequestsExecuting.SetX1(float64(dCfg.ConcurrencyLimit))

	qs.dispatchAsMuchAsPossibleLocked()
}

// A decision about a request
type requestDecision int

// Values passed through a request's decision
const (
	decisionExecute requestDecision = iota
	decisionReject
	decisionCancel
)

// StartRequest begins the process of handling a request.  We take the
// approach of updating the metrics about total requests queued and
// executing at each point where there is a change in that quantity,
// because the metrics --- and only the metrics --- track that
// quantity per FlowSchema.
func (qs *queueSet) StartRequest(ctx context.Context, hashValue uint64, flowDistinguisher, fsName string, descr1, descr2 interface{}, queueNoteFn fq.QueueNoteFn) (fq.Request, bool) {
	qs.lockAndSyncTime()
	defer qs.lock.Unlock()
	var req *request

	// ========================================================================
	// Step 0:
	// Apply only concurrency limit, if zero queues desired
	if qs.qCfg.DesiredNumQueues < 1 {
		if qs.totRequestsExecuting >= qs.dCfg.ConcurrencyLimit {
			klog.V(5).Infof("QS(%s): rejecting request %q %#+v %#+v because %d are executing and the limit is %d", qs.qCfg.Name, fsName, descr1, descr2, qs.totRequestsExecuting, qs.dCfg.ConcurrencyLimit)
			metrics.AddReject(qs.qCfg.Name, fsName, "concurrency-limit")
			return nil, qs.isIdleLocked()
		}
		req = qs.dispatchSansQueueLocked(ctx, flowDistinguisher, fsName, descr1, descr2)
		return req, false
	}

	// ========================================================================
	// Step 1:
	// 1) Start with shuffle sharding, to pick a queue.
	// 2) Reject old requests that have been waiting too long
	// 3) Reject current request if there is not enough concurrency shares and
	// we are at max queue length
	// 4) If not rejected, create a request and enqueue
	req = qs.timeoutOldRequestsAndRejectOrEnqueueLocked(ctx, hashValue, flowDistinguisher, fsName, descr1, descr2, queueNoteFn)
	// req == nil means that the request was rejected - no remaining
	// concurrency shares and at max queue length already
	if req == nil {
		klog.V(5).Infof("QS(%s): rejecting request %q %#+v %#+v due to queue full", qs.qCfg.Name, fsName, descr1, descr2)
		metrics.AddReject(qs.qCfg.Name, fsName, "queue-full")
		return nil, qs.isIdleLocked()
	}

	// ========================================================================
	// Step 2:
	// The next step is to invoke the method that dequeues as much
	// as possible.
	// This method runs a loop, as long as there are non-empty
	// queues and the number currently executing is less than the
	// assured concurrency value.  The body of the loop uses the
	// fair queuing technique to pick a queue and dispatch a
	// request from that queue.
	qs.dispatchAsMuchAsPossibleLocked()

	// ========================================================================
	// Step 3:

	// Set up a relay from the context's Done channel to the world
	// of well-counted goroutines. We Are Told that every
	// request's context's Done channel gets closed by the time
	// the request is done being processed.
	doneCh := ctx.Done()

	// Retrieve the queueset configuration name while we have the lock
	// and use it in the goroutine below.
	configName := qs.qCfg.Name

	if doneCh != nil {
		qs.preCreateOrUnblockGoroutine()
		go func() {
			defer runtime.HandleCrash()
			qs.goroutineDoneOrBlocked()
			_ = <-doneCh
			// Whatever goroutine unblocked the preceding receive MUST
			// have already either (a) incremented qs.counter or (b)
			// known that said counter is not actually counting or (c)
			// known that the count does not need to be accurate.
			// BTW, the count only needs to be accurate in a test that
			// uses FakeEventClock::Run().
			klog.V(6).Infof("QS(%s): Context of request %q %#+v %#+v is Done", configName, fsName, descr1, descr2)
			qs.cancelWait(req)
			qs.goroutineDoneOrBlocked()
		}()
	}
	return req, false
}

func (req *request) NoteQueued(inQueue bool) {
	if req.queueNoteFn != nil {
		req.queueNoteFn(inQueue)
	}
}

func (req *request) Finish(execFn func()) bool {
	exec, idle := req.wait()
	if !exec {
		return idle
	}
	func() {
		defer func() {
			idle = req.qs.finishRequestAndDispatchAsMuchAsPossible(req)
		}()

		execFn()
	}()

	return idle
}

func (req *request) wait() (bool, bool) {
	qs := req.qs
	qs.lock.Lock()
	defer qs.lock.Unlock()
	if req.waitStarted {
		// This can not happen, because the client is forbidden to
		// call Wait twice on the same request
		panic(fmt.Sprintf("Multiple calls to the Wait method, QueueSet=%s, startTime=%s, descr1=%#+v, descr2=%#+v", req.qs.qCfg.Name, req.startTime, req.descr1, req.descr2))
	}
	req.waitStarted = true

	// ========================================================================
	// Step 4:
	// The final step is to wait on a decision from
	// somewhere and then act on it.
	decisionAny := req.decision.GetLocked()
	qs.syncTimeLocked()
	decision, isDecision := decisionAny.(requestDecision)
	if !isDecision {
		panic(fmt.Sprintf("QS(%s): Impossible decision %#+v (of type %T) for request %#+v %#+v", qs.qCfg.Name, decisionAny, decisionAny, req.descr1, req.descr2))
	}
	switch decision {
	case decisionReject:
		klog.V(5).Infof("QS(%s): request %#+v %#+v timed out after being enqueued\n", qs.qCfg.Name, req.descr1, req.descr2)
		metrics.AddReject(qs.qCfg.Name, req.fsName, "time-out")
		return false, qs.isIdleLocked()
	case decisionCancel:
		// TODO(aaron-prindle) add metrics for this case
		klog.V(5).Infof("QS(%s): Ejecting request %#+v %#+v from its queue", qs.qCfg.Name, req.descr1, req.descr2)
		return false, qs.isIdleLocked()
	case decisionExecute:
		klog.V(5).Infof("QS(%s): Dispatching request %#+v %#+v from its queue", qs.qCfg.Name, req.descr1, req.descr2)
		return true, false
	default:
		// This can not happen, all possible values are handled above
		panic(decision)
	}
}

func (qs *queueSet) IsIdle() bool {
	qs.lock.Lock()
	defer qs.lock.Unlock()
	return qs.isIdleLocked()
}

func (qs *queueSet) isIdleLocked() bool {
	return qs.totRequestsWaiting == 0 && qs.totRequestsExecuting == 0
}

// lockAndSyncTime acquires the lock and updates the virtual time.
// Doing them together avoids the mistake of modify some queue state
// before calling syncTimeLocked.
func (qs *queueSet) lockAndSyncTime() {
	qs.lock.Lock()
	qs.syncTimeLocked()
}

// syncTimeLocked updates the virtual time based on the assumption
// that the current state of the queues has been in effect since
// `qs.lastRealTime`.  Thus, it should be invoked after acquiring the
// lock and before modifying the state of any queue.
func (qs *queueSet) syncTimeLocked() {
	realNow := qs.clock.Now()
	timeSinceLast := realNow.Sub(qs.lastRealTime).Seconds()
	qs.lastRealTime = realNow
	qs.virtualTime += timeSinceLast * qs.getVirtualTimeRatioLocked()
}

// getVirtualTimeRatio calculates the rate at which virtual time has
// been advancing, according to the logic in `doc.go`.
func (qs *queueSet) getVirtualTimeRatioLocked() float64 {
	activeQueues := 0
	reqs := 0
	for _, queue := range qs.queues {
		reqs += queue.requestsExecuting
		if len(queue.requests) > 0 || queue.requestsExecuting > 0 {
			activeQueues++
		}
	}
	if activeQueues == 0 {
		return 0
	}
	return math.Min(float64(reqs), float64(qs.dCfg.ConcurrencyLimit)) / float64(activeQueues)
}

// timeoutOldRequestsAndRejectOrEnqueueLocked encapsulates the logic required
// to validate and enqueue a request for the queueSet/QueueSet:
// 1) Start with shuffle sharding, to pick a queue.
// 2) Reject old requests that have been waiting too long
// 3) Reject current request if there is not enough concurrency shares and
// we are at max queue length
// 4) If not rejected, create a request and enqueue
// returns the enqueud request on a successful enqueue
// returns nil in the case that there is no available concurrency or
// the queuelengthlimit has been reached
func (qs *queueSet) timeoutOldRequestsAndRejectOrEnqueueLocked(ctx context.Context, hashValue uint64, flowDistinguisher, fsName string, descr1, descr2 interface{}, queueNoteFn fq.QueueNoteFn) *request {
	//	Start with the shuffle sharding, to pick a queue.
	queueIdx := qs.chooseQueueIndexLocked(hashValue, descr1, descr2)
	queue := qs.queues[queueIdx]
	// The next step is the logic to reject requests that have been waiting too long
	qs.removeTimedOutRequestsFromQueueLocked(queue, fsName)
	// NOTE: currently timeout is only checked for each new request.  This means that there can be
	// requests that are in the queue longer than the timeout if there are no new requests
	// We prefer the simplicity over the promptness, at least for now.

	// Create a request and enqueue
	req := &request{
		qs:                qs,
		fsName:            fsName,
		flowDistinguisher: flowDistinguisher,
		ctx:               ctx,
		decision:          lockingpromise.NewWriteOnce(&qs.lock, qs.counter),
		arrivalTime:       qs.clock.Now(),
		queue:             queue,
		descr1:            descr1,
		descr2:            descr2,
		queueNoteFn:       queueNoteFn,
	}
	if ok := qs.rejectOrEnqueueLocked(req); !ok {
		return nil
	}
	metrics.ObserveQueueLength(qs.qCfg.Name, fsName, len(queue.requests))
	return req
}

// chooseQueueIndexLocked uses shuffle sharding to select a queue index
// using the given hashValue and the shuffle sharding parameters of the queueSet.
func (qs *queueSet) chooseQueueIndexLocked(hashValue uint64, descr1, descr2 interface{}) int {
	bestQueueIdx := -1
	bestQueueLen := int(math.MaxInt32)
	// the dealer uses the current desired number of queues, which is no larger than the number in `qs.queues`.
	qs.dealer.Deal(hashValue, func(queueIdx int) {
		thisLen := len(qs.queues[queueIdx].requests)
		klog.V(7).Infof("QS(%s): For request %#+v %#+v considering queue %d of length %d", qs.qCfg.Name, descr1, descr2, queueIdx, thisLen)
		if thisLen < bestQueueLen {
			bestQueueIdx, bestQueueLen = queueIdx, thisLen
		}
	})
	klog.V(6).Infof("QS(%s) at r=%s v=%.9fs: For request %#+v %#+v chose queue %d, had %d waiting & %d executing", qs.qCfg.Name, qs.clock.Now().Format(nsTimeFmt), qs.virtualTime, descr1, descr2, bestQueueIdx, bestQueueLen, qs.queues[bestQueueIdx].requestsExecuting)
	return bestQueueIdx
}

// removeTimedOutRequestsFromQueueLocked rejects old requests that have been enqueued
// past the requestWaitLimit
func (qs *queueSet) removeTimedOutRequestsFromQueueLocked(queue *queue, fsName string) {
	timeoutIdx := -1
	now := qs.clock.Now()
	reqs := queue.requests
	// reqs are sorted oldest -> newest
	// can short circuit loop (break) if oldest requests are not timing out
	// as newer requests also will not have timed out

	// now - requestWaitLimit = waitLimit
	waitLimit := now.Add(-qs.qCfg.RequestWaitLimit)
	for i, req := range reqs {
		if waitLimit.After(req.arrivalTime) {
			req.decision.SetLocked(decisionReject)
			// get index for timed out requests
			timeoutIdx = i
			metrics.AddRequestsInQueues(qs.qCfg.Name, req.fsName, -1)
			req.NoteQueued(false)
		} else {
			break
		}
	}
	// remove timed out requests from queue
	if timeoutIdx != -1 {
		// timeoutIdx + 1 to remove the last timeout req
		removeIdx := timeoutIdx + 1
		// remove all the timeout requests
		queue.requests = reqs[removeIdx:]
		// decrement the # of requestsEnqueued
		qs.totRequestsWaiting -= removeIdx
		qs.obsPair.RequestsWaiting.Add(float64(-removeIdx))
	}
}

// rejectOrEnqueueLocked rejects or enqueues the newly arrived
// request, which has been assigned to a queue.  If up against the
// queue length limit and the concurrency limit then returns false.
// Otherwise enqueues and returns true.
func (qs *queueSet) rejectOrEnqueueLocked(request *request) bool {
	queue := request.queue
	curQueueLength := len(queue.requests)
	// rejects the newly arrived request if resource criteria not met
	if qs.totRequestsExecuting >= qs.dCfg.ConcurrencyLimit &&
		curQueueLength >= qs.qCfg.QueueLengthLimit {
		return false
	}

	qs.enqueueLocked(request)
	return true
}

// enqueues a request into its queue.
func (qs *queueSet) enqueueLocked(request *request) {
	queue := request.queue
	now := qs.clock.Now()
	if len(queue.requests) == 0 && queue.requestsExecuting == 0 {
		// the queue’s virtual start time is set to the virtual time.
		queue.virtualStart = qs.virtualTime
		if klog.V(6).Enabled() {
			klog.Infof("QS(%s) at r=%s v=%.9fs: initialized queue %d virtual start time due to request %#+v %#+v", qs.qCfg.Name, now.Format(nsTimeFmt), queue.virtualStart, queue.index, request.descr1, request.descr2)
		}
	}
	queue.Enqueue(request)
	qs.totRequestsWaiting++
	metrics.AddRequestsInQueues(qs.qCfg.Name, request.fsName, 1)
	request.NoteQueued(true)
	qs.obsPair.RequestsWaiting.Add(1)
}

// dispatchAsMuchAsPossibleLocked runs a loop, as long as there
// are non-empty queues and the number currently executing is less than the
// assured concurrency value.  The body of the loop uses the fair queuing
// technique to pick a queue, dequeue the request at the head of that
// queue, increment the count of the number executing, and send true
// to the request's channel.
func (qs *queueSet) dispatchAsMuchAsPossibleLocked() {
	for qs.totRequestsWaiting != 0 && qs.totRequestsExecuting < qs.dCfg.ConcurrencyLimit {
		ok := qs.dispatchLocked()
		if !ok {
			break
		}
	}
}

func (qs *queueSet) dispatchSansQueueLocked(ctx context.Context, flowDistinguisher, fsName string, descr1, descr2 interface{}) *request {
	now := qs.clock.Now()
	req := &request{
		qs:                qs,
		fsName:            fsName,
		flowDistinguisher: flowDistinguisher,
		ctx:               ctx,
		startTime:         now,
		decision:          lockingpromise.NewWriteOnce(&qs.lock, qs.counter),
		arrivalTime:       now,
		descr1:            descr1,
		descr2:            descr2,
	}
	req.decision.SetLocked(decisionExecute)
	qs.totRequestsExecuting++
	metrics.AddRequestsExecuting(qs.qCfg.Name, fsName, 1)
	qs.obsPair.RequestsExecuting.Add(1)
	if klog.V(5).Enabled() {
		klog.Infof("QS(%s) at r=%s v=%.9fs: immediate dispatch of request %q %#+v %#+v, qs will have %d executing", qs.qCfg.Name, now.Format(nsTimeFmt), qs.virtualTime, fsName, descr1, descr2, qs.totRequestsExecuting)
	}
	return req
}

// dispatchLocked uses the Fair Queuing for Server Requests method to
// select a queue and dispatch the oldest request in that queue.  The
// return value indicates whether a request was dispatched; this will
// be false when there are no requests waiting in any queue.
func (qs *queueSet) dispatchLocked() bool {
	queue := qs.selectQueueLocked()
	if queue == nil {
		return false
	}
	request, ok := queue.Dequeue()
	if !ok { // This should never happen.  But if it does...
		return false
	}
	request.startTime = qs.clock.Now()
	// At this moment the request leaves its queue and starts
	// executing.  We do not recognize any interim state between
	// "queued" and "executing".  While that means "executing"
	// includes a little overhead from this package, this is not a
	// problem because other overhead is also included.
	qs.totRequestsWaiting--
	qs.totRequestsExecuting++
	queue.requestsExecuting++
	metrics.AddRequestsInQueues(qs.qCfg.Name, request.fsName, -1)
	request.NoteQueued(false)
	metrics.AddRequestsExecuting(qs.qCfg.Name, request.fsName, 1)
	qs.obsPair.RequestsWaiting.Add(-1)
	qs.obsPair.RequestsExecuting.Add(1)
	if klog.V(6).Enabled() {
		klog.Infof("QS(%s) at r=%s v=%.9fs: dispatching request %#+v %#+v from queue %d with virtual start time %.9fs, queue will have %d waiting & %d executing", qs.qCfg.Name, request.startTime.Format(nsTimeFmt), qs.virtualTime, request.descr1, request.descr2, queue.index, queue.virtualStart, len(queue.requests), queue.requestsExecuting)
	}
	// When a request is dequeued for service -> qs.virtualStart += G
	queue.virtualStart += qs.estimatedServiceTime
	request.decision.SetLocked(decisionExecute)
	return ok
}

// cancelWait ensures the request is not waiting.  This is only
// applicable to a request that has been assigned to a queue.
func (qs *queueSet) cancelWait(req *request) {
	qs.lock.Lock()
	defer qs.lock.Unlock()
	if req.decision.IsSetLocked() {
		// The request has already been removed from the queue
		// and so we consider its wait to be over.
		return
	}
	req.decision.SetLocked(decisionCancel)
	queue := req.queue
	// remove the request from the queue as it has timed out
	for i := range queue.requests {
		if req == queue.requests[i] {
			// remove the request
			queue.requests = append(queue.requests[:i], queue.requests[i+1:]...)
			qs.totRequestsWaiting--
			metrics.AddRequestsInQueues(qs.qCfg.Name, req.fsName, -1)
			req.NoteQueued(false)
			qs.obsPair.RequestsWaiting.Add(-1)
			break
		}
	}
	return
}

// selectQueueLocked examines the queues in round robin order and
// returns the first one of those for which the virtual finish time of
// the oldest waiting request is minimal.
func (qs *queueSet) selectQueueLocked() *queue {
	minVirtualFinish := math.Inf(1)
	var minQueue *queue
	var minIndex int
	nq := len(qs.queues)
	for range qs.queues {
		qs.robinIndex = (qs.robinIndex + 1) % nq
		queue := qs.queues[qs.robinIndex]
		if len(queue.requests) != 0 {

			currentVirtualFinish := queue.GetVirtualFinish(0, qs.estimatedServiceTime)
			if currentVirtualFinish < minVirtualFinish {
				minVirtualFinish = currentVirtualFinish
				minQueue = queue
				minIndex = qs.robinIndex
			}
		}
	}
	// we set the round robin indexing to start at the chose queue
	// for the next round.  This way the non-selected queues
	// win in the case that the virtual finish times are the same
	qs.robinIndex = minIndex
	// according to the original FQ formula:
	//
	//   Si = MAX(R(t), Fi-1)
	//
	// the virtual start (excluding the estimated cost) of the chose
	// queue should always be greater or equal to the global virtual
	// time.
	//
	// hence we're refreshing the per-queue virtual time for the chosen
	// queue here. if the last virtual start time (excluded estimated cost)
	// falls behind the global virtual time, we update the latest virtual
	// start by: <latest global virtual time> + <previously estimated cost>
	previouslyEstimatedServiceTime := float64(minQueue.requestsExecuting) * qs.estimatedServiceTime
	if qs.virtualTime > minQueue.virtualStart-previouslyEstimatedServiceTime {
		// per-queue virtual time should not fall behind the global
		minQueue.virtualStart = qs.virtualTime + previouslyEstimatedServiceTime
	}
	return minQueue
}

// finishRequestAndDispatchAsMuchAsPossible is a convenience method
// which calls finishRequest for a given request and then dispatches
// as many requests as possible.  This is all of what needs to be done
// once a request finishes execution or is canceled.  This returns a bool
// indicating whether the QueueSet is now idle.
func (qs *queueSet) finishRequestAndDispatchAsMuchAsPossible(req *request) bool {
	qs.lockAndSyncTime()
	defer qs.lock.Unlock()

	qs.finishRequestLocked(req)
	qs.dispatchAsMuchAsPossibleLocked()
	return qs.isIdleLocked()
}

// finishRequestLocked is a callback that should be used when a
// previously dispatched request has completed it's service.  This
// callback updates important state in the queueSet
func (qs *queueSet) finishRequestLocked(r *request) {
	now := qs.clock.Now()
	qs.totRequestsExecuting--
	metrics.AddRequestsExecuting(qs.qCfg.Name, r.fsName, -1)
	qs.obsPair.RequestsExecuting.Add(-1)

	if r.queue == nil {
		if klog.V(6).Enabled() {
			klog.Infof("QS(%s) at r=%s v=%.9fs: request %#+v %#+v finished, qs will have %d executing", qs.qCfg.Name, now.Format(nsTimeFmt), qs.virtualTime, r.descr1, r.descr2, qs.totRequestsExecuting)
		}
		return
	}

	S := now.Sub(r.startTime).Seconds()

	// When a request finishes being served, and the actual service time was S,
	// the queue’s virtual start time is decremented by G - S.
	r.queue.virtualStart -= qs.estimatedServiceTime - S

	// request has finished, remove from requests executing
	r.queue.requestsExecuting--

	if klog.V(6).Enabled() {
		klog.Infof("QS(%s) at r=%s v=%.9fs: request %#+v %#+v finished, adjusted queue %d virtual start time to %.9fs due to service time %.9fs, queue will have %d waiting & %d executing", qs.qCfg.Name, now.Format(nsTimeFmt), qs.virtualTime, r.descr1, r.descr2, r.queue.index, r.queue.virtualStart, S, len(r.queue.requests), r.queue.requestsExecuting)
	}

	// If there are more queues than desired and this one has no
	// requests then remove it
	if len(qs.queues) > qs.qCfg.DesiredNumQueues &&
		len(r.queue.requests) == 0 &&
		r.queue.requestsExecuting == 0 {
		qs.queues = removeQueueAndUpdateIndexes(qs.queues, r.queue.index)

		// decrement here to maintain the invariant that (qs.robinIndex+1) % numQueues
		// is the index of the next queue after the one last dispatched from
		if qs.robinIndex >= r.queue.index {
			qs.robinIndex--
		}
	}
}

// removeQueueAndUpdateIndexes uses reslicing to remove an index from a slice
// and then updates the 'index' field of the queues to be correct
func removeQueueAndUpdateIndexes(queues []*queue, index int) []*queue {
	keptQueues := append(queues[:index], queues[index+1:]...)
	for i := index; i < len(keptQueues); i++ {
		keptQueues[i].index--
	}
	return keptQueues
}

// preCreateOrUnblockGoroutine needs to be called before creating a
// goroutine associated with this queueSet or unblocking a blocked
// one, to properly update the accounting used in testing.
func (qs *queueSet) preCreateOrUnblockGoroutine() {
	qs.counter.Add(1)
}

// goroutineDoneOrBlocked needs to be called at the end of every
// goroutine associated with this queueSet or when such a goroutine is
// about to wait on some other goroutine to do something; this is to
// properly update the accounting used in testing.
func (qs *queueSet) goroutineDoneOrBlocked() {
	qs.counter.Add(-1)
}

func (qs *queueSet) UpdateObservations() {
	qs.obsPair.RequestsWaiting.Add(0)
	qs.obsPair.RequestsExecuting.Add(0)
}

func (qs *queueSet) Dump(includeRequestDetails bool) debug.QueueSetDump {
	qs.lock.Lock()
	defer qs.lock.Unlock()
	d := debug.QueueSetDump{
		Queues:    make([]debug.QueueDump, len(qs.queues)),
		Waiting:   qs.totRequestsWaiting,
		Executing: qs.totRequestsExecuting,
	}
	for i, q := range qs.queues {
		d.Queues[i] = q.dump(includeRequestDetails)
	}
	return d
}
