package indicator import ( "math" "github.com/c9s/bbgo/pkg/datatype/floats" "github.com/c9s/bbgo/pkg/types" ) // Refer: https://tradingview.com/script/aDymGrFx-Drift-Study-Inspired-by-Monte-Carlo-Simulations-with-BM-KL/ // Brownian Motion's drift factor // could be used in Monte Carlo Simulations // //go:generate callbackgen -type WeightedDrift type WeightedDrift struct { types.SeriesBase types.IntervalWindow chng *types.Queue Values floats.Slice MA types.UpdatableSeriesExtend Weight *types.Queue LastValue float64 UpdateCallbacks []func(value float64) } func (inc *WeightedDrift) Update(value float64, weight float64) { if weight == 0 { inc.LastValue = value return } if inc.chng == nil { inc.SeriesBase.Series = inc if inc.MA == nil { inc.MA = &SMA{IntervalWindow: types.IntervalWindow{Interval: inc.Interval, Window: inc.Window}} } inc.Weight = types.NewQueue(inc.Window) inc.chng = types.NewQueue(inc.Window) inc.LastValue = value inc.Weight.Update(weight) return } inc.Weight.Update(weight) base := inc.Weight.Lowest(inc.Window) multiplier := int(weight / base) var chng float64 if value == 0 { chng = 0 } else { chng = math.Log(value/inc.LastValue) / weight * base inc.LastValue = value } for i := 0; i < multiplier; i++ { inc.MA.Update(chng) inc.chng.Update(chng) } if inc.chng.Length() >= inc.Window { stdev := types.Stdev(inc.chng, inc.Window) drift := inc.MA.Last(0) - stdev*stdev*0.5 inc.Values.Push(drift) } } // Assume that MA is SMA func (inc *WeightedDrift) ZeroPoint() float64 { window := float64(inc.Window) stdev := types.Stdev(inc.chng, inc.Window) chng := inc.chng.Index(inc.Window - 1) /*b := -2 * inc.MA.Last() - 2 c := window * stdev * stdev - chng * chng + 2 * chng * (inc.MA.Last() + 1) - 2 * inc.MA.Last() * window root := math.Sqrt(b*b - 4*c) K1 := (-b + root)/2 K2 := (-b - root)/2 N1 := math.Exp(K1) * inc.LastValue N2 := math.Exp(K2) * inc.LastValue if math.Abs(inc.LastValue-N1) < math.Abs(inc.LastValue-N2) { return N1 } else { return N2 }*/ return inc.LastValue * math.Exp(window*(0.5*stdev*stdev)+chng-inc.MA.Last(0)*window) } func (inc *WeightedDrift) Clone() (out *WeightedDrift) { out = &WeightedDrift{ IntervalWindow: inc.IntervalWindow, chng: inc.chng.Clone(), Values: inc.Values[:], MA: types.Clone(inc.MA), Weight: inc.Weight.Clone(), LastValue: inc.LastValue, } out.SeriesBase.Series = out return out } func (inc *WeightedDrift) TestUpdate(value float64, weight float64) *WeightedDrift { out := inc.Clone() out.Update(value, weight) return out } func (inc *WeightedDrift) Index(i int) float64 { return inc.Last(i) } func (inc *WeightedDrift) Last(i int) float64 { return inc.Values.Last(i) } func (inc *WeightedDrift) Length() int { if inc.Values == nil { return 0 } return inc.Values.Length() } var _ types.SeriesExtend = &Drift{} func (inc *WeightedDrift) PushK(k types.KLine) { inc.Update(k.Close.Float64(), k.Volume.Abs().Float64()) } func (inc *WeightedDrift) CalculateAndUpdate(allKLines []types.KLine) { if inc.chng == nil { for _, k := range allKLines { inc.PushK(k) inc.EmitUpdate(inc.Last(0)) } } else { k := allKLines[len(allKLines)-1] inc.PushK(k) inc.EmitUpdate(inc.Last(0)) } } func (inc *WeightedDrift) handleKLineWindowUpdate(interval types.Interval, window types.KLineWindow) { if inc.Interval != interval { return } inc.CalculateAndUpdate(window) } func (inc *WeightedDrift) Bind(updater KLineWindowUpdater) { updater.OnKLineWindowUpdate(inc.handleKLineWindowUpdate) }