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https://github.com/ethereum/go-ethereum.git
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metrics: update EWMA rates synchronously
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parent
5b3e3cd2be
commit
67fa9bdda2
2 changed files with 109 additions and 102 deletions
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@ -3,7 +3,6 @@ package metrics
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import (
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"math"
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"sync"
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"sync/atomic"
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"time"
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)
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@ -11,32 +10,30 @@ type EWMASnapshot interface {
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Rate() float64
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}
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// EWMAs continuously calculate an exponentially-weighted moving average
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// based on an outside source of clock ticks.
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// EWMAs calculate an exponentially-weighted moving average.
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type EWMA interface {
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Snapshot() EWMASnapshot
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Tick()
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Update(int64)
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}
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// NewEWMA constructs a new EWMA with the given alpha.
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func NewEWMA(alpha float64) EWMA {
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return &StandardEWMA{alpha: alpha}
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// NewEWMA constructs a new EWMA with the given alpha and sampling period.
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func NewEWMA(alpha float64, period time.Duration) EWMA {
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return &StandardEWMA{alpha: alpha, period: period, ts: time.Now()}
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}
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// NewEWMA1 constructs a new EWMA for a one-minute moving average.
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func NewEWMA1() EWMA {
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return NewEWMA(1 - math.Exp(-5.0/60.0/1))
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return NewEWMA(1-math.Exp(-5.0/60.0/1), 5*time.Second)
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}
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// NewEWMA5 constructs a new EWMA for a five-minute moving average.
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func NewEWMA5() EWMA {
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return NewEWMA(1 - math.Exp(-5.0/60.0/5))
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return NewEWMA(1-math.Exp(-5.0/60.0/5), 5*time.Second)
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}
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// NewEWMA15 constructs a new EWMA for a fifteen-minute moving average.
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func NewEWMA15() EWMA {
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return NewEWMA(1 - math.Exp(-5.0/60.0/15))
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return NewEWMA(1-math.Exp(-5.0/60.0/15), 5*time.Second)
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}
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// ewmaSnapshot is a read-only copy of another EWMA.
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@ -50,62 +47,65 @@ func (a ewmaSnapshot) Rate() float64 { return float64(a) }
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type NilEWMA struct{}
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func (NilEWMA) Snapshot() EWMASnapshot { return (*emptySnapshot)(nil) }
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func (NilEWMA) Tick() {}
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func (NilEWMA) Update(n int64) {}
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// StandardEWMA is the standard implementation of an EWMA and tracks the number
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// of uncounted events and processes them on each tick. It uses the
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// sync/atomic package to manage uncounted events.
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// StandardEWMA is the standard implementation of an EWMA.
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type StandardEWMA struct {
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uncounted atomic.Int64
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uncounted int64
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alpha float64
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rate atomic.Uint64
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init atomic.Bool
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period time.Duration
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ewma float64
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ts time.Time
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init bool
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mutex sync.Mutex
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}
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// Snapshot returns a read-only copy of the EWMA.
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func (a *StandardEWMA) Snapshot() EWMASnapshot {
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r := math.Float64frombits(a.rate.Load()) * float64(time.Second)
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return ewmaSnapshot(r)
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return ewmaSnapshot(a.rate())
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}
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// Tick ticks the clock to update the moving average. It assumes it is called
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// every five seconds.
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func (a *StandardEWMA) Tick() {
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// Optimization to avoid mutex locking in the hot-path.
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if a.init.Load() {
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a.updateRate(a.fetchInstantRate())
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return
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}
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// Slow-path: this is only needed on the first Tick() and preserves transactional updating
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// of init and rate in the else block. The first conditional is needed below because
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// a different thread could have set a.init = 1 between the time of the first atomic load and when
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// the lock was acquired.
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// rate returns the moving average rate of events per second.
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func (a *StandardEWMA) rate() float64 {
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a.mutex.Lock()
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if a.init.Load() {
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// The fetchInstantRate() uses atomic loading, which is unnecessary in this critical section
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// but again, this section is only invoked on the first successful Tick() operation.
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a.updateRate(a.fetchInstantRate())
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} else {
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a.init.Store(true)
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a.rate.Store(math.Float64bits(a.fetchInstantRate()))
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defer a.mutex.Unlock()
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if time.Since(a.ts)/a.period < 1 {
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return a.ewma * float64(time.Second)
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}
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a.mutex.Unlock()
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a.updateRate()
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return a.ewma * float64(time.Second)
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}
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func (a *StandardEWMA) fetchInstantRate() float64 {
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count := a.uncounted.Swap(0)
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return float64(count) / float64(5*time.Second)
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}
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func (a *StandardEWMA) updateRate() {
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periods := time.Since(a.ts) / a.period
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rate := float64(a.uncounted) / float64(a.period)
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func (a *StandardEWMA) updateRate(instantRate float64) {
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currentRate := math.Float64frombits(a.rate.Load())
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currentRate += a.alpha * (instantRate - currentRate)
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a.rate.Store(math.Float64bits(currentRate))
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a.ewma = a.alpha*(rate) + (1-a.alpha)*a.ewma
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a.ts = a.ts.Add(a.period)
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a.uncounted = 0
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periods -= 1
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if !a.init {
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a.ewma = rate
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a.init = true
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}
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a.ewma = math.Pow(1-a.alpha, float64(periods)) * a.ewma
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a.ts = a.ts.Add(periods * a.period) //nolint:durationcheck
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}
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// Update adds n uncounted events.
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func (a *StandardEWMA) Update(n int64) {
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a.uncounted.Add(n)
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a.mutex.Lock()
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defer a.mutex.Unlock()
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if time.Since(a.ts)/a.period < 1 {
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a.uncounted += n
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return
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}
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a.updateRate()
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}
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// used to elapse time in unit tests.
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func (a *StandardEWMA) addToTimestamp(d time.Duration) {
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a.ts = a.ts.Add(d)
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}
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@ -2,17 +2,17 @@ package metrics
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import (
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"math"
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"math/rand"
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"sync"
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"testing"
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"time"
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)
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const epsilon = 0.0000000000000001
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func BenchmarkEWMA(b *testing.B) {
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a := NewEWMA1()
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b.ResetTimer()
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for i := 0; i < b.N; i++ {
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a.Update(1)
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a.Tick()
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}
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}
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@ -23,67 +23,74 @@ func BenchmarkEWMAParallel(b *testing.B) {
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b.RunParallel(func(pb *testing.PB) {
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for pb.Next() {
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a.Update(1)
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a.Tick()
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}
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})
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}
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func TestEWMA1(t *testing.T) {
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// exercise race detector.
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func TestEWMAConcurrency(t *testing.T) {
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a := NewEWMA1()
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a.Update(3)
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a.Tick()
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for i, want := range []float64{0.6,
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0.22072766470286553, 0.08120116994196772, 0.029872241020718428,
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0.01098938333324054, 0.004042768199451294, 0.0014872513059998212,
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0.0005471291793327122, 0.00020127757674150815, 7.404588245200814e-05,
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2.7239957857491083e-05, 1.0021020474147462e-05, 3.6865274119969525e-06,
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1.3561976441886433e-06, 4.989172314621449e-07, 1.8354139230109722e-07,
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} {
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if rate := a.Snapshot().Rate(); math.Abs(want-rate) > epsilon {
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t.Errorf("%d minute a.Snapshot().Rate(): %f != %v\n", i, want, rate)
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wg := &sync.WaitGroup{}
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for i := 0; i < 100; i++ {
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wg.Add(1)
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go func(ewma EWMA, wg *sync.WaitGroup) {
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a.Update(rand.Int63())
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wg.Done()
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}(a, wg)
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}
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elapseMinute(a)
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wg.Wait()
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}
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func testEWMA(t *testing.T, alpha float64) {
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r := rand.New(rand.NewSource(time.Now().Unix()))
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a := NewEWMA(alpha, time.Second)
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// Base case.
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if rate := a.Snapshot().Rate(); rate != 0 {
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t.Errorf("(A) Base Case a.rate(): 0 != %v\n", rate)
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}
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a.Update(10)
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if rate := a.Snapshot().Rate(); rate != 0 {
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t.Errorf("(B) Base Case a.rate(): 0 != %v\n", rate)
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}
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// Recursive case.
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for i := 0; i < 100; i++ {
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rnd := r.Int63n(1000) + 1
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td, _ := NewEWMA(alpha, time.Second).(*StandardEWMA)
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td.Update(10)
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td.addToTimestamp(-time.Duration(rnd) * time.Second)
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expect := math.Pow(1-alpha, float64(rnd-1)) * 10.00
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if rate := td.rate(); math.Abs(rate-expect) > 0.001 {
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t.Fatalf("(A) Recursive Case a.rate(): %v != %v\n",
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expect, rate)
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}
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expect = alpha*25 + (1-alpha)*expect
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td.Update(25)
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td.addToTimestamp(-1e9)
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if rate := td.Snapshot().Rate(); math.Abs(rate-expect) > 0.001 {
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t.Fatalf("(B) Recursive Case a.rate(): %v != %v\n",
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expect, rate)
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}
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}
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}
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func TestEWMA1(t *testing.T) {
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// 1-minute moving average.
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testEWMA(t, 1-math.Exp(-5.0/60.0/1))
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}
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func TestEWMA5(t *testing.T) {
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a := NewEWMA5()
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a.Update(3)
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a.Tick()
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for i, want := range []float64{
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0.6, 0.49123845184678905, 0.4021920276213837, 0.32928698165641596,
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0.269597378470333, 0.2207276647028654, 0.18071652714732128,
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0.14795817836496392, 0.12113791079679326, 0.09917933293295193,
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0.08120116994196763, 0.06648189501740036, 0.05443077197364752,
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0.04456414692860035, 0.03648603757513079, 0.0298722410207183831020718428,
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} {
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if rate := a.Snapshot().Rate(); math.Abs(want-rate) > epsilon {
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t.Errorf("%d minute a.Snapshot().Rate(): %f != %v\n", i, want, rate)
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}
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elapseMinute(a)
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}
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// 5-minute moving average.
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testEWMA(t, 1-math.Exp(-5.0/60.0/5))
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}
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func TestEWMA15(t *testing.T) {
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a := NewEWMA15()
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a.Update(3)
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a.Tick()
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for i, want := range []float64{
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0.6, 0.5613041910189706, 0.5251039914257684, 0.4912384518467888184678905,
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0.459557003018789, 0.4299187863442732, 0.4021920276213831,
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0.37625345116383313, 0.3519877317060185, 0.3292869816564153165641596,
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0.3080502714195546, 0.2881831806538789, 0.26959737847033216,
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0.2522102307052083, 0.23594443252115815, 0.2207276647028646247028654470286553,
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} {
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if rate := a.Snapshot().Rate(); math.Abs(want-rate) > epsilon {
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t.Errorf("%d minute a.Snapshot().Rate(): %f != %v\n", i, want, rate)
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}
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elapseMinute(a)
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}
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}
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func elapseMinute(a EWMA) {
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for i := 0; i < 12; i++ {
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a.Tick()
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}
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// 15-minute moving average.
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testEWMA(t, 1-math.Exp(-5.0/60.0/15))
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}
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