package timeseries import "math" func (ts TimeSeries) SimpleMovingAverage(n int) TimeSeries { if ts.Len() == 0 { return ts } sma := NewTimeSeries() // It's not possible to calculate MA if n greater than number of points n = int(math.Min(float64(ts.Len()), float64(n))) // It's not a most performant way to caclulate MA, but since it's most straightforward, it's easy to read. // Should work fine on relatively small n, which is 90% of cases. Another way is caclulate window average, then add // next point ( (window sum + point value) / (count + 1) ) and remove the first one. for i := n; i < ts.Len(); i++ { windowEdgeRight := i windowCount := 0 var windowSum float64 = 0 for j := 0; j < n; j++ { point := ts[i-j] if point.Value != nil { windowSum += *point.Value windowCount++ } } if windowCount > 0 { windowAvg := windowSum / float64(windowCount) sma = append(sma, TimePoint{Time: ts[windowEdgeRight].Time, Value: &windowAvg}) } else { sma = append(sma, TimePoint{Time: ts[windowEdgeRight].Time, Value: nil}) } } return sma } func (ts TimeSeries) ExponentialMovingAverage(an float64) TimeSeries { if ts.Len() == 0 { return ts } // It's not possible to calculate MA if n greater than number of points an = math.Min(float64(ts.Len()), an) // alpha coefficient should be between 0 and 1. If provided n <= 1, then use it as alpha directly. Otherwise, it's a // number of points in the window and alpha calculted from this information. var a float64 var n int ema := []TimePoint{ts[0]} emaPrev := *ts[0].Value var emaCurrent float64 if an > 1 { // Calculate a from window size a = 2 / (an + 1) n = int(an) // Initial window, use simple moving average windowCount := 0 var windowSum float64 = 0 for i := n; i > 0; i-- { point := ts[n-i] if point.Value != nil { windowSum += *point.Value windowCount++ } } if windowCount > 0 { windowAvg := windowSum / float64(windowCount) // Actually, we should set timestamp from datapoints[n-1] and start calculation of EMA from n. // But in order to start EMA from first point (not from Nth) we should expand time range and request N additional // points outside left side of range. We can't do that, so this trick is used for pretty view of first N points. // We calculate AVG for first N points, but then start from 2nd point, not from Nth. In general, it means we // assume that previous N values (0-N, 0-(N-1), ..., 0-1) have the same average value as a first N values. ema[0] = TimePoint{Time: ts[0].Time, Value: &windowAvg} emaPrev = windowAvg n = 1 } } else { // Use predefined a and start from 1st point (use it as initial EMA value) a = an n = 1 } for i := n; i < ts.Len(); i++ { point := ts[i] if point.Value != nil { emaCurrent = a*(*point.Value) + (1-a)*emaPrev emaPrev = emaCurrent value := emaCurrent ema = append(ema, TimePoint{Time: point.Time, Value: &value}) } else { ema = append(ema, TimePoint{Time: point.Time, Value: nil}) } } return ema }