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// Copyright 2023 LiveKit, Inc.
//
// 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 connectionquality
import (
"fmt"
"math"
"sync"
"time"
"github.com/livekit/protocol/livekit"
"github.com/livekit/protocol/logger"
"github.com/livekit/protocol/utils"
"go.uber.org/zap/zapcore"
)
const (
MaxMOS = float32(4.5)
MinMOS = float32(1.0)
cMaxScore = float64(100.0)
cMinScore = float64(30.0)
cIncreaseFactor = float64(0.4) // slower increase, i. e. when score is recovering move up slower -> conservative
cDecreaseFactor = float64(0.8) // faster decrease, i. e. when score is dropping move down faster -> aggressive to be responsive to quality drops
cDistanceWeight = float64(35.0) // each spatial layer missed drops a quality level
cUnmuteTimeThreshold = float64(0.5)
cPPSQuantization = float64(2)
cPPSMinReadings = 10
cModeCalculationInterval = 2 * time.Minute
)
var (
qualityTransitionScore = map[livekit.ConnectionQuality]float64{
livekit.ConnectionQuality_GOOD: 80,
livekit.ConnectionQuality_POOR: 40,
livekit.ConnectionQuality_LOST: 20,
}
)
// ------------------------------------------
type windowStat struct {
startedAt time.Time
duration time.Duration
packets uint32
packetsPadding uint32
packetsLost uint32
packetsMissing uint32
packetsOutOfOrder uint32
bytes uint64
rttMax uint32
jitterMax float64
lastRTCPAt time.Time
}
func (w *windowStat) calculatePacketScore(aplw float64, includeRTT bool, includeJitter bool) float64 {
// this is based on simplified E-model based on packet loss, rtt, jitter as
// outlined at https://www.pingman.com/kb/article/how-is-mos-calculated-in-pingplotter-pro-50.html.
effectiveDelay := 0.0
// discount the dependent factors if dependency indicated.
// for example,
// 1. in the up stream, RTT cannot be measured without RTCP-XR, it is using down stream RTT.
// 2. in the down stream, up stream jitter affects it. although jitter can be adjusted to account for up stream
// jitter, this lever can be used to discount jitter in scoring.
if includeRTT {
effectiveDelay += float64(w.rttMax) / 2.0
}
if includeJitter {
effectiveDelay += (w.jitterMax * 2.0) / 1000.0
}
delayEffect := effectiveDelay / 40.0
if effectiveDelay > 160.0 {
delayEffect = (effectiveDelay - 120.0) / 10.0
}
// discount out-of-order packets from loss to deal with a scenario like
// 1. up stream has loss
// 2. down stream forwards with loss/hole in sequence number
// 3. down stream client reports a certain number of loss via RTCP RR
// 4. while processing that RTCP RR, up stream could have retransmitted missing packets
// 5. those retransmitted packets are forwarded,
// - server's view: it has forwarded those packets
// - client's view: it had not seen those packets when sending RTCP RR
// so those retransmitted packets appear like down stream loss to server.
//
// retransmitted packets would have arrived out-of-order. So, discounting them
// will account for it.
//
// Note that packets can arrive out-of-order in the upstream during regular
// streaming as well, i. e. without loss + NACK + retransmit. Those will be
// discounted too. And that will skew the real loss. For example, let
// us say that 40 out of 100 packets were reported lost by down stream.
// These could be real losses. In the same window, 40 packets could have been
// delivered out-of-order by the up stream, thus cancelling out the real loss.
// But, those situations should be rare and is a compromise for not letting
// up stream loss penalise down stream.
actualLost := w.packetsLost - w.packetsMissing - w.packetsOutOfOrder
if int32(actualLost) < 0 {
actualLost = 0
}
var lossEffect float64
if w.packets+w.packetsPadding > 0 {
lossEffect = float64(actualLost) * 100.0 / float64(w.packets+w.packetsPadding)
}
lossEffect *= aplw
score := cMaxScore - delayEffect - lossEffect
if score < 0.0 {
score = 0.0
}
return score
}
func (w *windowStat) calculateBitrateScore(expectedBits int64, isEnabled bool) float64 {
if expectedBits == 0 || !isEnabled {
// unsupported mode OR all layers stopped
return cMaxScore
}
var score float64
if w.bytes != 0 {
// using the ratio of expectedBits / actualBits
// the quality inflection points are approximately
// GOOD at ~2.7x, POOR at ~20.1x
score = cMaxScore - 20*math.Log(float64(expectedBits)/float64(w.bytes*8))
if score > cMaxScore {
score = cMaxScore
}
if score < 0.0 {
score = 0.0
}
}
return score
}
func (w *windowStat) String() string {
return fmt.Sprintf("start: %+v, dur: %+v, p: %d, pp: %d, pl: %d, pm: %d, pooo: %d, b: %d, rtt: %d, jitter: %0.2f, lastRTCP: %+v",
w.startedAt,
w.duration,
w.packets,
w.packetsPadding,
w.packetsLost,
w.packetsMissing,
w.packetsOutOfOrder,
w.bytes,
w.rttMax,
w.jitterMax,
w.lastRTCPAt,
)
}
func (w *windowStat) MarshalLogObject(e zapcore.ObjectEncoder) error {
if w == nil {
return nil
}
e.AddTime("startedAt", w.startedAt)
e.AddString("duration", w.duration.String())
e.AddUint32("packets", w.packets)
e.AddUint32("packetsPadding", w.packetsPadding)
e.AddUint32("packetsLost", w.packetsLost)
e.AddUint32("packetsMissing", w.packetsMissing)
e.AddUint32("packetsOutOfOrder", w.packetsOutOfOrder)
e.AddUint64("bytes", w.bytes)
e.AddUint32("rttMax", w.rttMax)
e.AddFloat64("jitterMax", w.jitterMax)
e.AddTime("lastRTCPAt", w.lastRTCPAt)
return nil
}
// ------------------------------------------
type qualityScorerParams struct {
IncludeRTT bool
IncludeJitter bool
EnableBitrateScore bool
Logger logger.Logger
}
type qualityScorer struct {
params qualityScorerParams
lock sync.RWMutex
lastUpdateAt time.Time
packetLossWeight float64
score float64
stat windowStat
mutedAt time.Time
unmutedAt time.Time
layerMutedAt time.Time
layerUnmutedAt time.Time
pausedAt time.Time
resumedAt time.Time
ppsHistogram [250]int
numPPSReadings int
ppsMode int
modeCalculatedAt time.Time
aggregateBitrate *utils.TimedAggregator[int64]
layerDistance *utils.TimedAggregator[float64]
}
func newQualityScorer(params qualityScorerParams) *qualityScorer {
return &qualityScorer{
params: params,
score: cMaxScore,
aggregateBitrate: utils.NewTimedAggregator[int64](utils.TimedAggregatorParams{
CapNegativeValues: true,
}),
layerDistance: utils.NewTimedAggregator[float64](utils.TimedAggregatorParams{
CapNegativeValues: true,
}),
modeCalculatedAt: time.Now().Add(-cModeCalculationInterval),
}
}
func (q *qualityScorer) startAtLocked(packetLossWeight float64, at time.Time) {
q.packetLossWeight = packetLossWeight
q.lastUpdateAt = at
}
func (q *qualityScorer) StartAt(packetLossWeight float64, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.startAtLocked(packetLossWeight, at)
}
func (q *qualityScorer) Start(packetLossWeight float64) {
q.lock.Lock()
defer q.lock.Unlock()
q.startAtLocked(packetLossWeight, time.Now())
}
func (q *qualityScorer) UpdatePacketLossWeight(packetLossWeight float64) {
q.lock.Lock()
defer q.lock.Unlock()
q.packetLossWeight = packetLossWeight
}
func (q *qualityScorer) updateMuteAtLocked(isMuted bool, at time.Time) {
if isMuted {
q.mutedAt = at
// muting when LOST should not push quality to EXCELLENT
if q.score != qualityTransitionScore[livekit.ConnectionQuality_LOST] {
q.score = cMaxScore
}
} else {
q.unmutedAt = at
}
}
func (q *qualityScorer) UpdateMuteAt(isMuted bool, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateMuteAtLocked(isMuted, at)
}
func (q *qualityScorer) UpdateMute(isMuted bool) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateMuteAtLocked(isMuted, time.Now())
}
func (q *qualityScorer) addBitrateTransitionAtLocked(bitrate int64, at time.Time) {
q.aggregateBitrate.AddSampleAt(bitrate, at)
}
func (q *qualityScorer) AddBitrateTransitionAt(bitrate int64, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.addBitrateTransitionAtLocked(bitrate, at)
}
func (q *qualityScorer) AddBitrateTransition(bitrate int64) {
q.lock.Lock()
defer q.lock.Unlock()
q.addBitrateTransitionAtLocked(bitrate, time.Now())
}
func (q *qualityScorer) updateLayerMuteAtLocked(isMuted bool, at time.Time) {
if isMuted {
if !q.isLayerMuted() {
q.aggregateBitrate.Reset()
q.layerDistance.Reset()
q.layerMutedAt = at
q.score = cMaxScore
}
} else {
if q.isLayerMuted() {
q.layerUnmutedAt = at
}
}
}
func (q *qualityScorer) UpdateLayerMuteAt(isMuted bool, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateLayerMuteAtLocked(isMuted, at)
}
func (q *qualityScorer) UpdateLayerMute(isMuted bool) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateLayerMuteAtLocked(isMuted, time.Now())
}
func (q *qualityScorer) updatePauseAtLocked(isPaused bool, at time.Time) {
if isPaused {
if !q.isPaused() {
q.aggregateBitrate.Reset()
q.layerDistance.Reset()
q.pausedAt = at
q.score = cMinScore
}
} else {
if q.isPaused() {
q.resumedAt = at
}
}
}
func (q *qualityScorer) UpdatePauseAt(isPaused bool, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.updatePauseAtLocked(isPaused, at)
}
func (q *qualityScorer) UpdatePause(isPaused bool) {
q.lock.Lock()
defer q.lock.Unlock()
q.updatePauseAtLocked(isPaused, time.Now())
}
func (q *qualityScorer) addLayerTransitionAtLocked(distance float64, at time.Time) {
q.layerDistance.AddSampleAt(distance, at)
}
func (q *qualityScorer) AddLayerTransitionAt(distance float64, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.addLayerTransitionAtLocked(distance, at)
}
func (q *qualityScorer) AddLayerTransition(distance float64) {
q.lock.Lock()
defer q.lock.Unlock()
q.addLayerTransitionAtLocked(distance, time.Now())
}
func (q *qualityScorer) updateAtLocked(stat *windowStat, at time.Time) {
// always update transitions
expectedBits, _, err := q.aggregateBitrate.GetAggregateAndRestartAt(at)
if err != nil {
q.params.Logger.Warnw("error getting expected bitrate", err)
}
expectedDistance, err := q.layerDistance.GetAverageAndRestartAt(at)
if err != nil {
q.params.Logger.Warnw("error getting expected distance", err)
}
// nothing to do when muted or not unmuted for long enough
// NOTE: it is possible that unmute -> mute -> unmute transition happens in the
// same analysis window. On a transition to mute, quality is immediately moved
// EXCELLENT for responsiveness. On an unmute, the entire window data is
// considered (as long as enough time has passed since unmute).
//
// Similarly, when paused (possibly due to congestion), score is immediately
// set to cMinScore for responsiveness. The layer transition is reset.
// On a resume, quality climbs back up using normal operation.
if q.isMuted() || !q.isUnmutedEnough(at) || q.isLayerMuted() || q.isPaused() {
q.lastUpdateAt = at
return
}
aplw := q.getAdjustedPacketLossWeight(stat)
reason := "none"
var score, packetScore, bitrateScore, layerScore float64
if stat.packets+stat.packetsPadding == 0 {
if !stat.lastRTCPAt.IsZero() && at.Sub(stat.lastRTCPAt) > stat.duration {
reason = "rtcp"
score = qualityTransitionScore[livekit.ConnectionQuality_LOST]
} else {
reason = "dry"
score = qualityTransitionScore[livekit.ConnectionQuality_POOR]
}
} else {
packetScore = stat.calculatePacketScore(aplw, q.params.IncludeRTT, q.params.IncludeJitter)
bitrateScore = stat.calculateBitrateScore(expectedBits, q.params.EnableBitrateScore)
layerScore = math.Max(math.Min(cMaxScore, cMaxScore-(expectedDistance*cDistanceWeight)), 0.0)
minScore := math.Min(packetScore, bitrateScore)
minScore = math.Min(minScore, layerScore)
switch {
case packetScore == minScore:
reason = "packet"
score = packetScore
case bitrateScore == minScore:
reason = "bitrate"
score = bitrateScore
case layerScore == minScore:
reason = "layer"
score = layerScore
}
factor := cIncreaseFactor
if score < q.score {
factor = cDecreaseFactor
}
score = factor*score + (1.0-factor)*q.score
if score < cMinScore {
// lower bound to prevent score from becoming very small values due to extreme conditions.
// Without a lower bound, it can get so low that it takes a long time to climb back to
// better quality even under excellent conditions.
score = cMinScore
}
}
prevCQ := scoreToConnectionQuality(q.score)
currCQ := scoreToConnectionQuality(score)
ulgr := q.params.Logger.WithUnlikelyValues(
"reason", reason,
"prevScore", q.score,
"prevQuality", prevCQ,
"prevStat", &q.stat,
"score", score,
"packetScore", packetScore,
"layerScore", layerScore,
"bitrateScore", bitrateScore,
"quality", currCQ,
"stat", stat,
"packetLossWeight", q.packetLossWeight,
"adjustedPacketLossWeight", aplw,
"modePPS", q.ppsMode*int(cPPSQuantization),
"expectedBits", expectedBits,
"expectedDistance", expectedDistance,
)
switch {
case utils.IsConnectionQualityLower(prevCQ, currCQ):
ulgr.Debugw("quality drop")
case utils.IsConnectionQualityHigher(prevCQ, currCQ):
ulgr.Debugw("quality rise")
default:
packets := stat.packets + stat.packetsPadding
lost := stat.packetsLost - stat.packetsMissing - stat.packetsOutOfOrder
if int32(lost) < 0 {
lost = 0
}
if packets != 0 && lost*100/packets > 10 {
ulgr.Debugw("quality hold - high loss")
}
}
q.score = score
q.stat = *stat
q.lastUpdateAt = at
}
func (q *qualityScorer) UpdateAt(stat *windowStat, at time.Time) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateAtLocked(stat, at)
}
func (q *qualityScorer) Update(stat *windowStat) {
q.lock.Lock()
defer q.lock.Unlock()
q.updateAtLocked(stat, time.Now())
}
func (q *qualityScorer) isMuted() bool {
return !q.mutedAt.IsZero() && (q.unmutedAt.IsZero() || q.mutedAt.After(q.unmutedAt))
}
func (q *qualityScorer) isUnmutedEnough(at time.Time) bool {
var sinceUnmute time.Duration
if q.unmutedAt.IsZero() {
sinceUnmute = at.Sub(q.lastUpdateAt)
} else {
sinceUnmute = at.Sub(q.unmutedAt)
}
var sinceLayerUnmute time.Duration
if q.layerUnmutedAt.IsZero() {
sinceLayerUnmute = at.Sub(q.lastUpdateAt)
} else {
sinceLayerUnmute = at.Sub(q.layerUnmutedAt)
}
validDuration := min(sinceLayerUnmute, sinceUnmute)
sinceLastUpdate := at.Sub(q.lastUpdateAt)
return validDuration.Seconds()/sinceLastUpdate.Seconds() > cUnmuteTimeThreshold
}
func (q *qualityScorer) isLayerMuted() bool {
return !q.layerMutedAt.IsZero() && (q.layerUnmutedAt.IsZero() || q.layerMutedAt.After(q.layerUnmutedAt))
}
func (q *qualityScorer) isPaused() bool {
return !q.pausedAt.IsZero() && (q.resumedAt.IsZero() || q.pausedAt.After(q.resumedAt))
}
func (q *qualityScorer) getAdjustedPacketLossWeight(stat *windowStat) float64 {
if stat == nil || stat.duration <= 0 {
return q.packetLossWeight
}
// packet loss is weighted by comparing against mode of packet rate seen.
// this is to handle situations like DTX in audio and variable bit rate tracks like screen share.
// and the effect of loss is not pronounced in those scenarios (audio silence, static screen share).
// for example, DTX typically uses only 5% of packets of full packet rate. at that rate,
// packet loss weight is reduced to ~22% of configured weight (i. e. sqrt(0.05) * configured weight)
pps := float64(stat.packets) / stat.duration.Seconds()
ppsQuantized := int(pps/cPPSQuantization + 0.5)
if ppsQuantized < len(q.ppsHistogram)-1 {
q.ppsHistogram[ppsQuantized]++
} else {
q.ppsHistogram[len(q.ppsHistogram)-1]++
}
q.numPPSReadings++
// calculate mode sparingly, do it under the following conditions
// 1. minimum number of readings available (AND)
// 2. enough time has elapsed since last calculation
if q.numPPSReadings > cPPSMinReadings && time.Since(q.modeCalculatedAt) > cModeCalculationInterval {
q.ppsMode = 0
for i := range len(q.ppsHistogram) {
if q.ppsHistogram[i] > q.ppsMode {
q.ppsMode = i
}
}
q.modeCalculatedAt = time.Now()
q.params.Logger.Debugw("updating pps mode", "expected", stat.packets, "duration", stat.duration.Seconds(), "pps", pps, "ppsMode", q.ppsMode)
}
if q.ppsMode == 0 || q.ppsMode == len(q.ppsHistogram)-1 {
return q.packetLossWeight
}
packetRatio := pps / (float64(q.ppsMode) * cPPSQuantization)
if packetRatio > 1.0 {
packetRatio = 1.0
}
return math.Sqrt(packetRatio) * q.packetLossWeight
}
func (q *qualityScorer) GetScoreAndQuality() (float32, livekit.ConnectionQuality) {
q.lock.RLock()
defer q.lock.RUnlock()
return float32(q.score), scoreToConnectionQuality(q.score)
}
func (q *qualityScorer) GetMOSAndQuality() (float32, livekit.ConnectionQuality) {
q.lock.RLock()
defer q.lock.RUnlock()
return scoreToMOS(q.score), scoreToConnectionQuality(q.score)
}
// ------------------------------------------
func scoreToConnectionQuality(score float64) livekit.ConnectionQuality {
// R-factor -> livekit.ConnectionQuality scale mapping roughly based on
// https://www.itu.int/ITU-T/2005-2008/com12/emodelv1/tut.htm
//
// As there are only three levels in livekit.ConnectionQuality scale,
// using a larger range for middling quality. Empirical evidence suggests
// that a score of 60 does not correspond to `POOR` quality. Repair
// mechanisms and use of algorithms like de-jittering makes the experience
// better even under harsh conditions.
if score > qualityTransitionScore[livekit.ConnectionQuality_GOOD] {
return livekit.ConnectionQuality_EXCELLENT
}
if score > qualityTransitionScore[livekit.ConnectionQuality_POOR] {
return livekit.ConnectionQuality_GOOD
}
if score > qualityTransitionScore[livekit.ConnectionQuality_LOST] {
return livekit.ConnectionQuality_POOR
}
return livekit.ConnectionQuality_LOST
}
// ------------------------------------------
func scoreToMOS(score float64) float32 {
if score <= 0.0 {
return 1.0
}
if score >= 100.0 {
return 4.5
}
return float32(1.0 + 0.035*score + (0.000007 * score * (score - 60.0) * (100.0 - score)))
}
// ------------------------------------------