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76 changed files with 1076 additions and 1717 deletions
406
seq.go
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406
seq.go
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package chart
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import (
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"math"
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"sort"
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"time"
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"github.com/blend/go-sdk/timeutil"
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)
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// NewSeq wraps a provider with a seq.
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func NewSeq(provider SeqProvider) Seq {
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return Seq{SeqProvider: provider}
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}
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// Seq is a utility wrapper for seq providers.
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type Seq struct {
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SeqProvider
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}
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// Values enumerates the seq into a slice.
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func (s Seq) Values() (output []float64) {
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if s.Len() == 0 {
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return
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}
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output = make([]float64, s.Len())
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for i := 0; i < s.Len(); i++ {
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output[i] = s.GetValue(i)
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}
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return
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}
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// Each applies the `mapfn` to all values in the value provider.
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func (s Seq) Each(mapfn func(int, float64)) {
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for i := 0; i < s.Len(); i++ {
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mapfn(i, s.GetValue(i))
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}
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}
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// Map applies the `mapfn` to all values in the value provider,
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// returning a new seq.
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func (s Seq) Map(mapfn func(i int, v float64) float64) Seq {
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output := make([]float64, s.Len())
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for i := 0; i < s.Len(); i++ {
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mapfn(i, s.GetValue(i))
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}
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return Seq{SeqArray(output)}
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}
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// FoldLeft collapses a seq from left to right.
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func (s Seq) FoldLeft(mapfn func(i int, v0, v float64) float64) (v0 float64) {
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if s.Len() == 0 {
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return 0
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}
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if s.Len() == 1 {
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return s.GetValue(0)
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}
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v0 = s.GetValue(0)
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for i := 1; i < s.Len(); i++ {
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v0 = mapfn(i, v0, s.GetValue(i))
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}
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return
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}
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// FoldRight collapses a seq from right to left.
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func (s Seq) FoldRight(mapfn func(i int, v0, v float64) float64) (v0 float64) {
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if s.Len() == 0 {
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return 0
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}
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if s.Len() == 1 {
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return s.GetValue(0)
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}
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v0 = s.GetValue(s.Len() - 1)
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for i := s.Len() - 2; i >= 0; i-- {
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v0 = mapfn(i, v0, s.GetValue(i))
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}
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return
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}
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// Min returns the minimum value in the seq.
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func (s Seq) Min() float64 {
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if s.Len() == 0 {
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return 0
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}
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min := s.GetValue(0)
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var value float64
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for i := 1; i < s.Len(); i++ {
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value = s.GetValue(i)
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if value < min {
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min = value
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}
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}
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return min
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}
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// Max returns the maximum value in the seq.
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func (s Seq) Max() float64 {
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if s.Len() == 0 {
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return 0
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}
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max := s.GetValue(0)
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var value float64
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for i := 1; i < s.Len(); i++ {
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value = s.GetValue(i)
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if value > max {
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max = value
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}
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}
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return max
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}
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// MinMax returns the minimum and the maximum in one pass.
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func (s Seq) MinMax() (min, max float64) {
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if s.Len() == 0 {
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return
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}
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min = s.GetValue(0)
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max = min
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var value float64
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for i := 1; i < s.Len(); i++ {
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value = s.GetValue(i)
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if value < min {
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min = value
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}
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if value > max {
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max = value
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}
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}
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return
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}
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// Sort returns the seq sorted in ascending order.
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// This fully enumerates the seq.
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func (s Seq) Sort() Seq {
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if s.Len() == 0 {
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return s
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}
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values := s.Values()
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sort.Float64s(values)
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return Seq{SeqArray(values)}
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}
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// Median returns the median or middle value in the sorted seq.
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func (s Seq) Median() (median float64) {
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l := s.Len()
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if l == 0 {
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return
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}
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sorted := s.Sort()
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if l%2 == 0 {
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v0 := sorted.GetValue(l/2 - 1)
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v1 := sorted.GetValue(l/2 + 1)
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median = (v0 + v1) / 2
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} else {
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median = float64(sorted.GetValue(l << 1))
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}
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return
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}
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// Sum adds all the elements of a series together.
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func (s Seq) Sum() (accum float64) {
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if s.Len() == 0 {
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return 0
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}
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for i := 0; i < s.Len(); i++ {
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accum += s.GetValue(i)
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}
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return
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}
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// Average returns the float average of the values in the buffer.
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func (s Seq) Average() float64 {
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if s.Len() == 0 {
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return 0
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}
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return s.Sum() / float64(s.Len())
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}
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// Variance computes the variance of the buffer.
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func (s Seq) Variance() float64 {
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if s.Len() == 0 {
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return 0
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}
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m := s.Average()
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var variance, v float64
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for i := 0; i < s.Len(); i++ {
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v = s.GetValue(i)
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variance += (v - m) * (v - m)
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}
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return variance / float64(s.Len())
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}
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// StdDev returns the standard deviation.
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func (s Seq) StdDev() float64 {
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if s.Len() == 0 {
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return 0
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}
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return math.Pow(s.Variance(), 0.5)
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}
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//Percentile finds the relative standing in a slice of floats.
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// `percent` should be given on the interval [0,1.0).
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func (s Seq) Percentile(percent float64) (percentile float64) {
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l := s.Len()
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if l == 0 {
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return 0
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}
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if percent < 0 || percent > 1.0 {
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panic("percent out of range [0.0, 1.0)")
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}
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sorted := s.Sort()
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index := percent * float64(l)
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if index == float64(int64(index)) {
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i := f64i(index)
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ci := sorted.GetValue(i - 1)
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c := sorted.GetValue(i)
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percentile = (ci + c) / 2.0
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} else {
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i := f64i(index)
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percentile = sorted.GetValue(i)
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}
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return percentile
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}
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// Normalize maps every value to the interval [0, 1.0].
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func (s Seq) Normalize() Seq {
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min, max := s.MinMax()
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delta := max - min
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output := make([]float64, s.Len())
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for i := 0; i < s.Len(); i++ {
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output[i] = (s.GetValue(i) - min) / delta
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}
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return Seq{SeqProvider: SeqArray(output)}
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}
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// SeqProvider is a provider for values for a seq.
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type SeqProvider interface {
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Len() int
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GetValue(int) float64
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}
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// SeqArray is a wrapper for an array of floats that implements `ValuesProvider`.
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type SeqArray []float64
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// Len returns the value provider length.
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func (a SeqArray) Len() int {
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return len(a)
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}
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// GetValue returns the value at a given index.
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func (a SeqArray) GetValue(index int) float64 {
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return a[index]
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}
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// SeqDays generates a seq of timestamps by day, from -days to today.
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func SeqDays(days int) []time.Time {
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var values []time.Time
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for day := days; day >= 0; day-- {
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values = append(values, time.Now().AddDate(0, 0, -day))
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}
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return values
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}
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// SeqHours returns a sequence of times by the hour for a given number of hours
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// after a given start.
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func SeqHours(start time.Time, totalHours int) []time.Time {
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times := make([]time.Time, totalHours)
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last := start
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for i := 0; i < totalHours; i++ {
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times[i] = last
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last = last.Add(time.Hour)
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}
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return times
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}
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// SeqHoursFilled adds zero values for the data bounded by the start and end of the xdata array.
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func SeqHoursFilled(xdata []time.Time, ydata []float64) ([]time.Time, []float64) {
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start, end := TimeMinMax(xdata...)
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totalHours := DiffHours(start, end)
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finalTimes := SeqHours(start, totalHours+1)
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finalValues := make([]float64, totalHours+1)
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var hoursFromStart int
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for i, xd := range xdata {
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hoursFromStart = DiffHours(start, xd)
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finalValues[hoursFromStart] = ydata[i]
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}
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return finalTimes, finalValues
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}
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// Assert types implement interfaces.
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var (
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_ SeqProvider = (*SeqTimes)(nil)
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)
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// SeqTimes are an array of times.
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// It wraps the array with methods that implement `seq.Provider`.
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type SeqTimes []time.Time
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// Array returns the times to an array.
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func (t SeqTimes) Array() []time.Time {
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return []time.Time(t)
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}
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// Len returns the length of the array.
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func (t SeqTimes) Len() int {
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return len(t)
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}
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// GetValue returns a value at an index as a time.
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func (t SeqTimes) GetValue(index int) float64 {
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return timeutil.ToFloat64(t[index])
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}
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// SeqRange returns the array values of a linear seq with a given start, end and optional step.
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func SeqRange(start, end float64) []float64 {
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return Seq{NewSeqLinear().WithStart(start).WithEnd(end).WithStep(1.0)}.Values()
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}
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// SeqRangeWithStep returns the array values of a linear seq with a given start, end and optional step.
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func SeqRangeWithStep(start, end, step float64) []float64 {
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return Seq{NewSeqLinear().WithStart(start).WithEnd(end).WithStep(step)}.Values()
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}
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// NewSeqLinear returns a new linear generator.
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func NewSeqLinear() *SeqLinear {
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return &SeqLinear{step: 1.0}
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}
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// SeqLinear is a stepwise generator.
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type SeqLinear struct {
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start float64
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end float64
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step float64
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}
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// Start returns the start value.
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func (lg SeqLinear) Start() float64 {
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return lg.start
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}
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// End returns the end value.
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func (lg SeqLinear) End() float64 {
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return lg.end
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}
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// Step returns the step value.
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func (lg SeqLinear) Step() float64 {
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return lg.step
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}
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// Len returns the number of elements in the seq.
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func (lg SeqLinear) Len() int {
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if lg.start < lg.end {
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return int((lg.end-lg.start)/lg.step) + 1
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}
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return int((lg.start-lg.end)/lg.step) + 1
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}
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// GetValue returns the value at a given index.
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func (lg SeqLinear) GetValue(index int) float64 {
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fi := float64(index)
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if lg.start < lg.end {
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return lg.start + (fi * lg.step)
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}
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return lg.start - (fi * lg.step)
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}
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// WithStart sets the start and returns the linear generator.
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func (lg *SeqLinear) WithStart(start float64) *SeqLinear {
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lg.start = start
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return lg
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}
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// WithEnd sets the end and returns the linear generator.
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func (lg *SeqLinear) WithEnd(end float64) *SeqLinear {
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lg.end = end
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return lg
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}
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// WithStep sets the step and returns the linear generator.
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func (lg *SeqLinear) WithStep(step float64) *SeqLinear {
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lg.step = step
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return lg
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}
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