VictoriaMetrics/app/vmselect/promql/rollup.go

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package promql
import (
"flag"
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"fmt"
"math"
"strings"
"sync"
"github.com/VictoriaMetrics/VictoriaMetrics/lib/decimal"
"github.com/VictoriaMetrics/VictoriaMetrics/lib/logger"
"github.com/VictoriaMetrics/VictoriaMetrics/lib/metricsql"
"github.com/VictoriaMetrics/VictoriaMetrics/lib/storage"
"github.com/VictoriaMetrics/metrics"
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"github.com/valyala/histogram"
)
var maxStalenessInterval = flag.Duration("search.maxStalenessInterval", 0, "The maximum interval for staleness calculations. "+
"By default it is automatically calculated from the median interval between samples. This flag can be useful for tuning "+
"Prometheus data model closer to Influx-style data model. See https://prometheus.io/docs/prometheus/latest/querying/basics/#staleness for details")
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var rollupFuncs = map[string]newRollupFunc{
// Standard rollup funcs from PromQL.
// See funcs accepting range-vector on https://prometheus.io/docs/prometheus/latest/querying/functions/ .
"changes": newRollupFuncOneArg(rollupChanges),
"delta": newRollupFuncOneArg(rollupDelta),
"deriv": newRollupFuncOneArg(rollupDerivSlow),
"deriv_fast": newRollupFuncOneArg(rollupDerivFast),
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"holt_winters": newRollupHoltWinters,
"idelta": newRollupFuncOneArg(rollupIdelta),
"increase": newRollupFuncOneArg(rollupIncrease), // + rollupFuncsRemoveCounterResets
"irate": newRollupFuncOneArg(rollupIderiv), // + rollupFuncsRemoveCounterResets
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"predict_linear": newRollupPredictLinear,
"rate": newRollupFuncOneArg(rollupDerivFast), // + rollupFuncsRemoveCounterResets
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"resets": newRollupFuncOneArg(rollupResets),
"avg_over_time": newRollupFuncOneArg(rollupAvg),
"min_over_time": newRollupFuncOneArg(rollupMin),
"max_over_time": newRollupFuncOneArg(rollupMax),
"sum_over_time": newRollupFuncOneArg(rollupSum),
"count_over_time": newRollupFuncOneArg(rollupCount),
"quantile_over_time": newRollupQuantile,
"stddev_over_time": newRollupFuncOneArg(rollupStddev),
"stdvar_over_time": newRollupFuncOneArg(rollupStdvar),
"absent_over_time": newRollupFuncOneArg(rollupAbsent),
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// Additional rollup funcs.
"default_rollup": newRollupFuncOneArg(rollupDefault), // default rollup func
"range_over_time": newRollupFuncOneArg(rollupRange),
"sum2_over_time": newRollupFuncOneArg(rollupSum2),
"geomean_over_time": newRollupFuncOneArg(rollupGeomean),
"first_over_time": newRollupFuncOneArg(rollupFirst),
"last_over_time": newRollupFuncOneArg(rollupLast),
"distinct_over_time": newRollupFuncOneArg(rollupDistinct),
"increases_over_time": newRollupFuncOneArg(rollupIncreases),
"decreases_over_time": newRollupFuncOneArg(rollupDecreases),
"integrate": newRollupFuncOneArg(rollupIntegrate),
"ideriv": newRollupFuncOneArg(rollupIderiv),
"lifetime": newRollupFuncOneArg(rollupLifetime),
"lag": newRollupFuncOneArg(rollupLag),
"scrape_interval": newRollupFuncOneArg(rollupScrapeInterval),
"tmin_over_time": newRollupFuncOneArg(rollupTmin),
"tmax_over_time": newRollupFuncOneArg(rollupTmax),
"share_le_over_time": newRollupShareLE,
"share_gt_over_time": newRollupShareGT,
"histogram_over_time": newRollupFuncOneArg(rollupHistogram),
"rollup": newRollupFuncOneArg(rollupFake),
"rollup_rate": newRollupFuncOneArg(rollupFake), // + rollupFuncsRemoveCounterResets
"rollup_deriv": newRollupFuncOneArg(rollupFake),
"rollup_delta": newRollupFuncOneArg(rollupFake),
"rollup_increase": newRollupFuncOneArg(rollupFake), // + rollupFuncsRemoveCounterResets
"rollup_candlestick": newRollupFuncOneArg(rollupFake),
"aggr_over_time": newRollupFuncTwoArgs(rollupFake),
"hoeffding_bound_upper": newRollupHoeffdingBoundUpper,
"hoeffding_bound_lower": newRollupHoeffdingBoundLower,
}
// rollupAggrFuncs are functions that can be passed to `aggr_over_time()`
var rollupAggrFuncs = map[string]rollupFunc{
// Standard rollup funcs from PromQL.
"changes": rollupChanges,
"delta": rollupDelta,
"deriv": rollupDerivSlow,
"deriv_fast": rollupDerivFast,
"idelta": rollupIdelta,
"increase": rollupIncrease, // + rollupFuncsRemoveCounterResets
"irate": rollupIderiv, // + rollupFuncsRemoveCounterResets
"rate": rollupDerivFast, // + rollupFuncsRemoveCounterResets
"resets": rollupResets,
"avg_over_time": rollupAvg,
"min_over_time": rollupMin,
"max_over_time": rollupMax,
"sum_over_time": rollupSum,
"count_over_time": rollupCount,
"stddev_over_time": rollupStddev,
"stdvar_over_time": rollupStdvar,
"absent_over_time": rollupAbsent,
// Additional rollup funcs.
"range_over_time": rollupRange,
"sum2_over_time": rollupSum2,
"geomean_over_time": rollupGeomean,
"first_over_time": rollupFirst,
"last_over_time": rollupLast,
"distinct_over_time": rollupDistinct,
"increases_over_time": rollupIncreases,
"decreases_over_time": rollupDecreases,
"integrate": rollupIntegrate,
"ideriv": rollupIderiv,
"lifetime": rollupLifetime,
"lag": rollupLag,
"scrape_interval": rollupScrapeInterval,
"tmin_over_time": rollupTmin,
"tmax_over_time": rollupTmax,
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}
var rollupFuncsCannotAdjustWindow = map[string]bool{
"changes": true,
"delta": true,
"holt_winters": true,
"idelta": true,
"increase": true,
"predict_linear": true,
"resets": true,
"sum_over_time": true,
"count_over_time": true,
"quantile_over_time": true,
"stddev_over_time": true,
"stdvar_over_time": true,
"absent_over_time": true,
"sum2_over_time": true,
"geomean_over_time": true,
"distinct_over_time": true,
"increases_over_time": true,
"decreases_over_time": true,
"integrate": true,
}
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var rollupFuncsRemoveCounterResets = map[string]bool{
"increase": true,
"irate": true,
"rate": true,
"rollup_rate": true,
"rollup_increase": true,
}
var rollupFuncsKeepMetricGroup = map[string]bool{
"default_rollup": true,
"avg_over_time": true,
"min_over_time": true,
"max_over_time": true,
"quantile_over_time": true,
"rollup": true,
"geomean_over_time": true,
"hoeffding_bound_lower": true,
"hoeffding_bound_upper": true,
"first_over_time": true,
"last_over_time": true,
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}
func getRollupAggrFuncNames(expr metricsql.Expr) ([]string, error) {
afe, ok := expr.(*metricsql.AggrFuncExpr)
if ok {
// This is for incremental aggregate function case:
//
// sum(aggr_over_time(...))
//
// See aggr_incremental.go for details.
expr = afe.Args[0]
}
fe, ok := expr.(*metricsql.FuncExpr)
if !ok {
logger.Panicf("BUG: unexpected expression; want metricsql.FuncExpr; got %T; value: %s", expr, expr.AppendString(nil))
}
if fe.Name != "aggr_over_time" {
logger.Panicf("BUG: unexpected function name: %q; want `aggr_over_time`", fe.Name)
}
if len(fe.Args) != 2 {
return nil, fmt.Errorf("unexpected number of args to aggr_over_time(); got %d; want %d", len(fe.Args), 2)
}
arg := fe.Args[0]
var aggrFuncNames []string
if se, ok := arg.(*metricsql.StringExpr); ok {
aggrFuncNames = append(aggrFuncNames, se.S)
} else {
fe, ok := arg.(*metricsql.FuncExpr)
if !ok || fe.Name != "" {
return nil, fmt.Errorf("%s cannot be passed to aggr_over_time(); expecting quoted aggregate function name or a list of quoted aggregate function names",
arg.AppendString(nil))
}
for _, e := range fe.Args {
se, ok := e.(*metricsql.StringExpr)
if !ok {
return nil, fmt.Errorf("%s cannot be passed here; expecting quoted aggregate function name", e.AppendString(nil))
}
aggrFuncNames = append(aggrFuncNames, se.S)
}
}
if len(aggrFuncNames) == 0 {
return nil, fmt.Errorf("aggr_over_time() must contain at least a single aggregate function name")
}
for _, s := range aggrFuncNames {
if rollupAggrFuncs[s] == nil {
return nil, fmt.Errorf("%q cannot be used in `aggr_over_time` function; expecting quoted aggregate function name", s)
}
}
return aggrFuncNames, nil
}
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func getRollupArgIdx(funcName string) int {
funcName = strings.ToLower(funcName)
if rollupFuncs[funcName] == nil {
logger.Panicf("BUG: getRollupArgIdx is called for non-rollup func %q", funcName)
}
switch funcName {
case "quantile_over_time", "aggr_over_time",
"hoeffding_bound_lower", "hoeffding_bound_upper":
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return 1
default:
return 0
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}
}
func getRollupConfigs(name string, rf rollupFunc, expr metricsql.Expr, start, end, step, window int64, lookbackDelta int64, sharedTimestamps []int64) (
func(values []float64, timestamps []int64), []*rollupConfig, error) {
preFunc := func(values []float64, timestamps []int64) {}
if rollupFuncsRemoveCounterResets[name] {
preFunc = func(values []float64, timestamps []int64) {
removeCounterResets(values)
}
}
newRollupConfig := func(rf rollupFunc, tagValue string) *rollupConfig {
return &rollupConfig{
TagValue: tagValue,
Func: rf,
Start: start,
End: end,
Step: step,
Window: window,
MayAdjustWindow: !rollupFuncsCannotAdjustWindow[name],
LookbackDelta: lookbackDelta,
Timestamps: sharedTimestamps,
}
}
appendRollupConfigs := func(dst []*rollupConfig) []*rollupConfig {
dst = append(dst, newRollupConfig(rollupMin, "min"))
dst = append(dst, newRollupConfig(rollupMax, "max"))
dst = append(dst, newRollupConfig(rollupAvg, "avg"))
return dst
}
var rcs []*rollupConfig
switch name {
case "rollup":
rcs = appendRollupConfigs(rcs)
case "rollup_rate", "rollup_deriv":
preFuncPrev := preFunc
preFunc = func(values []float64, timestamps []int64) {
preFuncPrev(values, timestamps)
derivValues(values, timestamps)
}
rcs = appendRollupConfigs(rcs)
case "rollup_increase", "rollup_delta":
preFuncPrev := preFunc
preFunc = func(values []float64, timestamps []int64) {
preFuncPrev(values, timestamps)
deltaValues(values)
}
rcs = appendRollupConfigs(rcs)
case "rollup_candlestick":
rcs = append(rcs, newRollupConfig(rollupOpen, "open"))
rcs = append(rcs, newRollupConfig(rollupClose, "close"))
rcs = append(rcs, newRollupConfig(rollupLow, "low"))
rcs = append(rcs, newRollupConfig(rollupHigh, "high"))
case "aggr_over_time":
aggrFuncNames, err := getRollupAggrFuncNames(expr)
if err != nil {
return nil, nil, fmt.Errorf("invalid args to %s: %s", expr.AppendString(nil), err)
}
for _, aggrFuncName := range aggrFuncNames {
if rollupFuncsRemoveCounterResets[aggrFuncName] {
// There is no need to save the previous preFunc, since it is either empty or the same.
preFunc = func(values []float64, timestamps []int64) {
removeCounterResets(values)
}
}
rf := rollupAggrFuncs[aggrFuncName]
rcs = append(rcs, newRollupConfig(rf, aggrFuncName))
}
default:
rcs = append(rcs, newRollupConfig(rf, ""))
}
return preFunc, rcs, nil
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}
func getRollupFunc(funcName string) newRollupFunc {
funcName = strings.ToLower(funcName)
return rollupFuncs[funcName]
}
type rollupFuncArg struct {
prevValue float64
prevTimestamp int64
values []float64
timestamps []int64
currTimestamp int64
idx int
step int64
// Real previous value even if it is located too far from the current window.
// It matches prevValue if prevValue is not nan.
realPrevValue float64
tsm *timeseriesMap
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}
func (rfa *rollupFuncArg) reset() {
rfa.prevValue = 0
rfa.prevTimestamp = 0
rfa.values = nil
rfa.timestamps = nil
rfa.currTimestamp = 0
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rfa.idx = 0
rfa.step = 0
rfa.realPrevValue = nan
rfa.tsm = nil
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}
// rollupFunc must return rollup value for the given rfa.
//
// prevValue may be nan, values and timestamps may be empty.
type rollupFunc func(rfa *rollupFuncArg) float64
type rollupConfig struct {
// This tag value must be added to "rollup" tag if non-empty.
TagValue string
Func rollupFunc
Start int64
End int64
Step int64
Window int64
// Whether window may be adjusted to 2 x interval between data points.
// This is needed for functions which have dt in the denominator
// such as rate, deriv, etc.
// Without the adjustement their value would jump in unexpected directions
// when using window smaller than 2 x scrape_interval.
MayAdjustWindow bool
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Timestamps []int64
// LoookbackDelta is the analog to `-query.lookback-delta` from Prometheus world.
LookbackDelta int64
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}
var (
nan = math.NaN()
inf = math.Inf(1)
)
// The maximum interval without previous rows.
const maxSilenceInterval = 5 * 60 * 1000
type timeseriesMap struct {
origin *timeseries
labelName string
h metrics.Histogram
m map[string]*timeseries
}
func newTimeseriesMap(funcName string, sharedTimestamps []int64, mnSrc *storage.MetricName) *timeseriesMap {
if funcName != "histogram_over_time" {
return nil
}
values := make([]float64, len(sharedTimestamps))
for i := range values {
values[i] = nan
}
var origin timeseries
origin.MetricName.CopyFrom(mnSrc)
origin.MetricName.ResetMetricGroup()
origin.Timestamps = sharedTimestamps
origin.Values = values
return &timeseriesMap{
origin: &origin,
labelName: "vmrange",
m: make(map[string]*timeseries),
}
}
func (tsm *timeseriesMap) AppendTimeseriesTo(dst []*timeseries) []*timeseries {
for _, ts := range tsm.m {
dst = append(dst, ts)
}
return dst
}
func (tsm *timeseriesMap) GetOrCreateTimeseries(labelValue string) *timeseries {
ts := tsm.m[labelValue]
if ts != nil {
return ts
}
ts = &timeseries{}
ts.CopyFromShallowTimestamps(tsm.origin)
ts.MetricName.RemoveTag(tsm.labelName)
ts.MetricName.AddTag(tsm.labelName, labelValue)
tsm.m[labelValue] = ts
return ts
}
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// Do calculates rollups for the given timestamps and values, appends
// them to dstValues and returns results.
//
// rc.Timestamps are used as timestamps for dstValues.
//
// timestamps must cover time range [rc.Start - rc.Window - maxSilenceInterval ... rc.End].
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//
// Do cannot be called from concurrent goroutines.
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func (rc *rollupConfig) Do(dstValues []float64, values []float64, timestamps []int64) []float64 {
return rc.doInternal(dstValues, nil, values, timestamps)
}
// DoTimeseriesMap calculates rollups for the given timestamps and values and puts them to tsm.
func (rc *rollupConfig) DoTimeseriesMap(tsm *timeseriesMap, values []float64, timestamps []int64) {
ts := getTimeseries()
ts.Values = rc.doInternal(ts.Values[:0], tsm, values, timestamps)
putTimeseries(ts)
}
func (rc *rollupConfig) doInternal(dstValues []float64, tsm *timeseriesMap, values []float64, timestamps []int64) []float64 {
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// Sanity checks.
if rc.Step <= 0 {
logger.Panicf("BUG: Step must be bigger than 0; got %d", rc.Step)
}
if rc.Start > rc.End {
logger.Panicf("BUG: Start cannot exceed End; got %d vs %d", rc.Start, rc.End)
}
if rc.Window < 0 {
logger.Panicf("BUG: Window must be non-negative; got %d", rc.Window)
}
if err := ValidateMaxPointsPerTimeseries(rc.Start, rc.End, rc.Step); err != nil {
logger.Panicf("BUG: %s; this must be validated before the call to rollupConfig.Do", err)
}
// Extend dstValues in order to remove mallocs below.
dstValues = decimal.ExtendFloat64sCapacity(dstValues, len(rc.Timestamps))
scrapeInterval := getScrapeInterval(timestamps)
if *maxStalenessInterval > 0 {
if si := maxStalenessInterval.Milliseconds(); scrapeInterval > si {
scrapeInterval = si
}
}
maxPrevInterval := getMaxPrevInterval(scrapeInterval)
if rc.LookbackDelta > 0 && maxPrevInterval > rc.LookbackDelta {
maxPrevInterval = rc.LookbackDelta
}
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window := rc.Window
if window <= 0 {
window = rc.Step
}
if rc.MayAdjustWindow && window < maxPrevInterval {
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window = maxPrevInterval
}
rfa := getRollupFuncArg()
rfa.idx = 0
rfa.step = rc.Step
rfa.realPrevValue = nan
rfa.tsm = tsm
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i := 0
j := 0
ni := 0
nj := 0
for _, tEnd := range rc.Timestamps {
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tStart := tEnd - window
ni = seekFirstTimestampIdxAfter(timestamps[i:], tStart, ni)
i += ni
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if j < i {
j = i
}
nj = seekFirstTimestampIdxAfter(timestamps[j:], tEnd, nj)
j += nj
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rfa.prevValue = nan
rfa.prevTimestamp = tStart - maxPrevInterval
if i < len(timestamps) && i > 0 && timestamps[i-1] > rfa.prevTimestamp {
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rfa.prevValue = values[i-1]
rfa.prevTimestamp = timestamps[i-1]
}
rfa.values = values[i:j]
rfa.timestamps = timestamps[i:j]
rfa.currTimestamp = tEnd
if i > 0 {
rfa.realPrevValue = values[i-1]
}
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value := rc.Func(rfa)
rfa.idx++
dstValues = append(dstValues, value)
}
putRollupFuncArg(rfa)
return dstValues
}
func seekFirstTimestampIdxAfter(timestamps []int64, seekTimestamp int64, nHint int) int {
if len(timestamps) == 0 || timestamps[0] > seekTimestamp {
return 0
}
startIdx := nHint - 2
if startIdx < 0 {
startIdx = 0
}
if startIdx >= len(timestamps) {
startIdx = len(timestamps) - 1
}
endIdx := nHint + 2
if endIdx > len(timestamps) {
endIdx = len(timestamps)
}
if startIdx > 0 && timestamps[startIdx] <= seekTimestamp {
timestamps = timestamps[startIdx:]
endIdx -= startIdx
} else {
startIdx = 0
}
if endIdx < len(timestamps) && timestamps[endIdx] > seekTimestamp {
timestamps = timestamps[:endIdx]
}
if len(timestamps) < 16 {
// Fast path: the number of timestamps to search is small, so scan them all.
for i, timestamp := range timestamps {
if timestamp > seekTimestamp {
return startIdx + i
}
}
return startIdx + len(timestamps)
}
// Slow path: too big len(timestamps), so use binary search.
i := binarySearchInt64(timestamps, seekTimestamp+1)
return startIdx + int(i)
}
func binarySearchInt64(a []int64, v int64) uint {
// Copy-pasted sort.Search from https://golang.org/src/sort/search.go?s=2246:2286#L49
i, j := uint(0), uint(len(a))
for i < j {
h := (i + j) >> 1
if h < uint(len(a)) && a[h] < v {
i = h + 1
} else {
j = h
}
}
return i
}
func getScrapeInterval(timestamps []int64) int64 {
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if len(timestamps) < 2 {
return int64(maxSilenceInterval)
}
// Estimate scrape interval as 0.6 quantile for the first 100 intervals.
h := histogram.GetFast()
tsPrev := timestamps[0]
timestamps = timestamps[1:]
if len(timestamps) > 100 {
timestamps = timestamps[:100]
}
for _, ts := range timestamps {
h.Update(float64(ts - tsPrev))
tsPrev = ts
}
scrapeInterval := int64(h.Quantile(0.6))
histogram.PutFast(h)
if scrapeInterval <= 0 {
return int64(maxSilenceInterval)
}
return scrapeInterval
}
func getMaxPrevInterval(scrapeInterval int64) int64 {
// Increase scrapeInterval more for smaller scrape intervals in order to hide possible gaps
// when high jitter is present.
// See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/139 .
if scrapeInterval <= 2*1000 {
return scrapeInterval + 4*scrapeInterval
}
if scrapeInterval <= 4*1000 {
return scrapeInterval + 2*scrapeInterval
}
if scrapeInterval <= 8*1000 {
return scrapeInterval + scrapeInterval
}
if scrapeInterval <= 16*1000 {
return scrapeInterval + scrapeInterval/2
}
if scrapeInterval <= 32*1000 {
return scrapeInterval + scrapeInterval/4
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}
return scrapeInterval + scrapeInterval/8
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}
func removeCounterResets(values []float64) {
// There is no need in handling NaNs here, since they are impossible
// on values from vmstorage.
if len(values) == 0 {
return
}
var correction float64
prevValue := values[0]
for i, v := range values {
d := v - prevValue
if d < 0 {
if (-d * 8) < prevValue {
// This is likely jitter from `Prometheus HA pairs`.
// Just substitute v with prevValue.
v = prevValue
} else {
correction += prevValue
}
}
prevValue = v
values[i] = v + correction
}
}
func deltaValues(values []float64) {
// There is no need in handling NaNs here, since they are impossible
// on values from vmstorage.
if len(values) == 0 {
return
}
prevDelta := float64(0)
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prevValue := values[0]
for i, v := range values[1:] {
prevDelta = v - prevValue
values[i] = prevDelta
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prevValue = v
}
values[len(values)-1] = prevDelta
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}
func derivValues(values []float64, timestamps []int64) {
// There is no need in handling NaNs here, since they are impossible
// on values from vmstorage.
if len(values) == 0 {
return
}
prevDeriv := float64(0)
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prevValue := values[0]
prevTs := timestamps[0]
for i, v := range values[1:] {
ts := timestamps[i+1]
if ts == prevTs {
// Use the previous value for duplicate timestamps.
values[i] = prevDeriv
continue
}
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dt := float64(ts-prevTs) * 1e-3
prevDeriv = (v - prevValue) / dt
values[i] = prevDeriv
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prevValue = v
prevTs = ts
}
values[len(values)-1] = prevDeriv
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}
type newRollupFunc func(args []interface{}) (rollupFunc, error)
func newRollupFuncOneArg(rf rollupFunc) newRollupFunc {
return func(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 1); err != nil {
return nil, err
}
return rf, nil
}
}
func newRollupFuncTwoArgs(rf rollupFunc) newRollupFunc {
return func(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
return rf, nil
}
}
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func newRollupHoltWinters(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 3); err != nil {
return nil, err
}
sfs, err := getScalar(args[1], 1)
if err != nil {
return nil, err
}
tfs, err := getScalar(args[2], 2)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return rfa.prevValue
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}
sf := sfs[rfa.idx]
if sf <= 0 || sf >= 1 {
return nan
}
tf := tfs[rfa.idx]
if tf <= 0 || tf >= 1 {
return nan
}
// See https://en.wikipedia.org/wiki/Exponential_smoothing#Double_exponential_smoothing .
// TODO: determine whether this shit really works.
s0 := rfa.prevValue
if math.IsNaN(s0) {
s0 = values[0]
values = values[1:]
if len(values) == 0 {
return s0
}
}
b0 := values[0] - s0
for _, v := range values {
s1 := sf*v + (1-sf)*(s0+b0)
b1 := tf*(s1-s0) + (1-tf)*b0
s0 = s1
b0 = b1
}
return s0
}
return rf, nil
}
func newRollupPredictLinear(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
secs, err := getScalar(args[1], 1)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
v, k := linearRegression(rfa)
if math.IsNaN(v) {
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return nan
}
sec := secs[rfa.idx]
return v + k*sec
}
return rf, nil
}
func linearRegression(rfa *rollupFuncArg) (float64, float64) {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
if len(values) == 0 {
return rfa.prevValue, 0
}
// See https://en.wikipedia.org/wiki/Simple_linear_regression#Numerical_example
tFirst := rfa.prevTimestamp
vSum := rfa.prevValue
tSum := float64(0)
tvSum := float64(0)
ttSum := float64(0)
n := 1.0
if math.IsNaN(rfa.prevValue) {
tFirst = timestamps[0]
vSum = 0
n = 0
}
for i, v := range values {
dt := float64(timestamps[i]-tFirst) * 1e-3
vSum += v
tSum += dt
tvSum += dt * v
ttSum += dt * dt
}
n += float64(len(values))
if n == 1 {
return vSum, 0
}
k := (n*tvSum - tSum*vSum) / (n*ttSum - tSum*tSum)
v := (vSum - k*tSum) / n
// Adjust v to the last timestamp on the given time range.
v += k * (float64(timestamps[len(timestamps)-1]-tFirst) * 1e-3)
return v, k
}
func newRollupShareLE(args []interface{}) (rollupFunc, error) {
return newRollupShareFilter(args, countFilterLE)
}
func countFilterLE(values []float64, le float64) int {
n := 0
for _, v := range values {
if v <= le {
n++
}
}
return n
}
func newRollupShareGT(args []interface{}) (rollupFunc, error) {
return newRollupShareFilter(args, countFilterGT)
}
func countFilterGT(values []float64, gt float64) int {
n := 0
for _, v := range values {
if v > gt {
n++
}
}
return n
}
func newRollupShareFilter(args []interface{}, countFilter func(values []float64, limit float64) int) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
limits, err := getScalar(args[1], 1)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return nan
}
limit := limits[rfa.idx]
n := countFilter(values, limit)
return float64(n) / float64(len(values))
}
return rf, nil
}
func newRollupHoeffdingBoundLower(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
phis, err := getScalar(args[0], 0)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
bound, avg := rollupHoeffdingBoundInternal(rfa, phis)
return avg - bound
}
return rf, nil
}
func newRollupHoeffdingBoundUpper(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
phis, err := getScalar(args[0], 0)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
bound, avg := rollupHoeffdingBoundInternal(rfa, phis)
return avg + bound
}
return rf, nil
}
func rollupHoeffdingBoundInternal(rfa *rollupFuncArg, phis []float64) (float64, float64) {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return nan, nan
}
if len(values) == 1 {
return 0, values[0]
}
vMax := rollupMax(rfa)
vMin := rollupMin(rfa)
vAvg := rollupAvg(rfa)
vRange := vMax - vMin
if vRange <= 0 {
return 0, vAvg
}
phi := phis[rfa.idx]
if phi >= 1 {
return inf, vAvg
}
if phi <= 0 {
return 0, vAvg
}
// See https://en.wikipedia.org/wiki/Hoeffding%27s_inequality
// and https://www.youtube.com/watch?v=6UwcqiNsZ8U&feature=youtu.be&t=1237
bound := vRange * math.Sqrt(math.Log(1/(1-phi))/(2*float64(len(values))))
return bound, vAvg
}
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func newRollupQuantile(args []interface{}) (rollupFunc, error) {
if err := expectRollupArgsNum(args, 2); err != nil {
return nil, err
}
phis, err := getScalar(args[0], 0)
if err != nil {
return nil, err
}
rf := func(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return rfa.prevValue
}
if len(values) == 1 {
// Fast path - only a single value.
return values[0]
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}
hf := histogram.GetFast()
for _, v := range values {
hf.Update(v)
}
phi := phis[rfa.idx]
qv := hf.Quantile(phi)
histogram.PutFast(hf)
return qv
}
return rf, nil
}
func rollupHistogram(rfa *rollupFuncArg) float64 {
values := rfa.values
tsm := rfa.tsm
tsm.h.Reset()
for _, v := range values {
tsm.h.Update(v)
}
idx := rfa.idx
tsm.h.VisitNonZeroBuckets(func(vmrange string, count uint64) {
ts := tsm.GetOrCreateTimeseries(vmrange)
ts.Values[idx] = float64(count)
})
return nan
}
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func rollupAvg(rfa *rollupFuncArg) float64 {
// Do not use `Rapid calculation methods` at https://en.wikipedia.org/wiki/Standard_deviation,
// since it is slower and has no significant benefits in precision.
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
// Do not take into account rfa.prevValue, since it may lead
// to inconsistent results comparing to Prometheus on broken time series
// with irregular data points.
return nan
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}
var sum float64
for _, v := range values {
sum += v
}
return sum / float64(len(values))
}
func rollupMin(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
// Do not take into account rfa.prevValue, since it may lead
// to inconsistent results comparing to Prometheus on broken time series
// with irregular data points.
return nan
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}
minValue := values[0]
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for _, v := range values {
if v < minValue {
minValue = v
}
}
return minValue
}
func rollupMax(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
// Do not take into account rfa.prevValue, since it may lead
// to inconsistent results comparing to Prometheus on broken time series
// with irregular data points.
return nan
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}
maxValue := values[0]
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for _, v := range values {
if v > maxValue {
maxValue = v
}
}
return maxValue
}
func rollupTmin(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
if len(values) == 0 {
return nan
}
minValue := values[0]
minTimestamp := timestamps[0]
for i, v := range values {
if v < minValue {
minValue = v
minTimestamp = timestamps[i]
}
}
return float64(minTimestamp) * 1e-3
}
func rollupTmax(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
if len(values) == 0 {
return nan
}
maxValue := values[0]
maxTimestamp := timestamps[0]
for i, v := range values {
if v > maxValue {
maxValue = v
maxTimestamp = timestamps[i]
}
}
return float64(maxTimestamp) * 1e-3
}
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func rollupSum(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
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}
var sum float64
for _, v := range values {
sum += v
}
return sum
}
func rollupRange(rfa *rollupFuncArg) float64 {
max := rollupMax(rfa)
min := rollupMin(rfa)
return max - min
}
func rollupSum2(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return rfa.prevValue * rfa.prevValue
}
var sum2 float64
for _, v := range values {
sum2 += v * v
}
return sum2
}
func rollupGeomean(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
return rfa.prevValue
}
p := 1.0
for _, v := range values {
p *= v
}
return math.Pow(p, 1/float64(len(values)))
}
func rollupAbsent(rfa *rollupFuncArg) float64 {
if len(rfa.values) == 0 {
return 1
}
return nan
}
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func rollupCount(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
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}
return float64(len(values))
}
func rollupStddev(rfa *rollupFuncArg) float64 {
stdvar := rollupStdvar(rfa)
return math.Sqrt(stdvar)
}
func rollupStdvar(rfa *rollupFuncArg) float64 {
// See `Rapid calculation methods` at https://en.wikipedia.org/wiki/Standard_deviation
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
}
if len(values) == 1 {
// Fast path.
return values[0]
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}
var avg float64
var count float64
var q float64
for _, v := range values {
count++
avgNew := avg + (v-avg)/count
q += (v - avg) * (v - avgNew)
avg = avgNew
}
return q / count
}
func rollupDelta(rfa *rollupFuncArg) float64 {
return rollupDeltaInternal(rfa, false)
}
func rollupIncrease(rfa *rollupFuncArg) float64 {
return rollupDeltaInternal(rfa, true)
}
func rollupDeltaInternal(rfa *rollupFuncArg, canUseRealPrevValue bool) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
prevValue := rfa.prevValue
if math.IsNaN(prevValue) {
if len(values) == 0 {
return nan
}
// Assume that the previous non-existing value was 0
// only if the first value is quite small.
// This should prevent from improper increase() results for os-level counters
// such as cpu time or bytes sent over the network interface.
// These counters may start long ago before the first value appears in the db.
if values[0] < 1e6 {
prevValue = 0
if canUseRealPrevValue && !math.IsNaN(rfa.realPrevValue) {
prevValue = rfa.realPrevValue
}
} else {
prevValue = values[0]
}
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}
if len(values) == 0 {
// Assume that the value didn't change on the given interval.
return 0
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}
return values[len(values)-1] - prevValue
}
func rollupIdelta(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
// Assume that the value didn't change on the given interval.
return 0
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}
lastValue := values[len(values)-1]
values = values[:len(values)-1]
if len(values) == 0 {
prevValue := rfa.prevValue
if math.IsNaN(prevValue) {
// Assume that the previous non-existing value was 0.
return lastValue
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}
return lastValue - prevValue
}
return lastValue - values[len(values)-1]
}
func rollupDerivSlow(rfa *rollupFuncArg) float64 {
// Use linear regression like Prometheus does.
// See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/73
_, k := linearRegression(rfa)
return k
}
func rollupDerivFast(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
prevValue := rfa.prevValue
prevTimestamp := rfa.prevTimestamp
if math.IsNaN(prevValue) {
if len(values) == 0 {
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return nan
}
if len(values) == 1 {
// It is impossible to determine the duration during which the value changed
// from 0 to the current value.
// The following attempts didn't work well:
// - using scrape interval as the duration. It fails on Prometheus restarts when it
// skips scraping for the counter. This results in too high rate() value for the first point
// after Prometheus restarts.
// - using window or step as the duration. It results in too small rate() values for the first
// points of time series.
//
// So just return nan
return nan
}
prevValue = values[0]
prevTimestamp = timestamps[0]
} else if len(values) == 0 {
// Assume that the value didn't change on the given interval.
return 0
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}
vEnd := values[len(values)-1]
tEnd := timestamps[len(timestamps)-1]
dv := vEnd - prevValue
dt := float64(tEnd-prevTimestamp) * 1e-3
return dv / dt
}
func rollupIderiv(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
if len(values) < 2 {
if len(values) == 0 {
return nan
}
if math.IsNaN(rfa.prevValue) {
// It is impossible to determine the duration during which the value changed
// from 0 to the current value.
// The following attempts didn't work well:
// - using scrape interval as the duration. It fails on Prometheus restarts when it
// skips scraping for the counter. This results in too high rate() value for the first point
// after Prometheus restarts.
// - using window or step as the duration. It results in too small rate() values for the first
// points of time series.
//
// So just return nan
return nan
}
return (values[0] - rfa.prevValue) / (float64(timestamps[0]-rfa.prevTimestamp) * 1e-3)
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}
vEnd := values[len(values)-1]
tEnd := timestamps[len(timestamps)-1]
values = values[:len(values)-1]
timestamps = timestamps[:len(timestamps)-1]
// Skip data points with duplicate timestamps.
for len(timestamps) > 0 && timestamps[len(timestamps)-1] >= tEnd {
timestamps = timestamps[:len(timestamps)-1]
}
var tStart int64
var vStart float64
if len(timestamps) == 0 {
if math.IsNaN(rfa.prevValue) {
return 0
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}
tStart = rfa.prevTimestamp
vStart = rfa.prevValue
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} else {
tStart = timestamps[len(timestamps)-1]
vStart = values[len(timestamps)-1]
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}
dv := vEnd - vStart
dt := tEnd - tStart
return dv / (float64(dt) * 1e-3)
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}
func rollupLifetime(rfa *rollupFuncArg) float64 {
// Calculate the duration between the first and the last data points.
timestamps := rfa.timestamps
if math.IsNaN(rfa.prevValue) {
if len(timestamps) < 2 {
return nan
}
return float64(timestamps[len(timestamps)-1]-timestamps[0]) * 1e-3
}
if len(timestamps) == 0 {
return nan
}
return float64(timestamps[len(timestamps)-1]-rfa.prevTimestamp) * 1e-3
}
func rollupLag(rfa *rollupFuncArg) float64 {
// Calculate the duration between the current timestamp and the last data point.
timestamps := rfa.timestamps
if len(timestamps) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return float64(rfa.currTimestamp-rfa.prevTimestamp) * 1e-3
}
return float64(rfa.currTimestamp-timestamps[len(timestamps)-1]) * 1e-3
}
func rollupScrapeInterval(rfa *rollupFuncArg) float64 {
// Calculate the average interval between data points.
timestamps := rfa.timestamps
if math.IsNaN(rfa.prevValue) {
if len(timestamps) < 2 {
return nan
}
return float64(timestamps[len(timestamps)-1]-timestamps[0]) * 1e-3 / float64(len(timestamps)-1)
}
if len(timestamps) == 0 {
return nan
}
return (float64(timestamps[len(timestamps)-1]-rfa.prevTimestamp) * 1e-3) / float64(len(timestamps))
}
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func rollupChanges(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
prevValue := rfa.prevValue
n := 0
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if math.IsNaN(prevValue) {
if len(values) == 0 {
return nan
}
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prevValue = values[0]
values = values[1:]
n++
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}
for _, v := range values {
if v != prevValue {
n++
prevValue = v
}
}
return float64(n)
}
func rollupIncreases(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
}
prevValue := rfa.prevValue
if math.IsNaN(prevValue) {
prevValue = values[0]
values = values[1:]
}
if len(values) == 0 {
return 0
}
n := 0
for _, v := range values {
if v > prevValue {
n++
}
prevValue = v
}
return float64(n)
}
// `decreases_over_time` logic is the same as `resets` logic.
var rollupDecreases = rollupResets
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func rollupResets(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
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}
prevValue := rfa.prevValue
if math.IsNaN(prevValue) {
prevValue = values[0]
values = values[1:]
}
if len(values) == 0 {
return 0
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}
n := 0
for _, v := range values {
if v < prevValue {
n++
}
prevValue = v
}
return float64(n)
}
// getCandlestickValues returns a subset of rfa.values suitable for rollup_candlestick
//
// See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/309 for details.
func getCandlestickValues(rfa *rollupFuncArg) []float64 {
currTimestamp := rfa.currTimestamp
timestamps := rfa.timestamps
for len(timestamps) > 0 && timestamps[len(timestamps)-1] >= currTimestamp {
timestamps = timestamps[:len(timestamps)-1]
}
if len(timestamps) == 0 {
return nil
}
return rfa.values[:len(timestamps)]
}
func getFirstValueForCandlestick(rfa *rollupFuncArg) float64 {
if rfa.prevTimestamp+rfa.step >= rfa.currTimestamp {
return rfa.prevValue
}
return nan
}
func rollupOpen(rfa *rollupFuncArg) float64 {
v := getFirstValueForCandlestick(rfa)
if !math.IsNaN(v) {
return v
}
values := getCandlestickValues(rfa)
if len(values) == 0 {
return nan
}
return values[0]
}
func rollupClose(rfa *rollupFuncArg) float64 {
values := getCandlestickValues(rfa)
if len(values) == 0 {
return getFirstValueForCandlestick(rfa)
}
return values[len(values)-1]
}
func rollupHigh(rfa *rollupFuncArg) float64 {
values := getCandlestickValues(rfa)
max := getFirstValueForCandlestick(rfa)
if math.IsNaN(max) {
if len(values) == 0 {
return nan
}
max = values[0]
values = values[1:]
}
for _, v := range values {
if v > max {
max = v
}
}
return max
}
func rollupLow(rfa *rollupFuncArg) float64 {
values := getCandlestickValues(rfa)
min := getFirstValueForCandlestick(rfa)
if math.IsNaN(min) {
if len(values) == 0 {
return nan
}
min = values[0]
values = values[1:]
}
for _, v := range values {
if v < min {
min = v
}
}
return min
}
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func rollupFirst(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
// Do not take into account rfa.prevValue, since it may lead
// to inconsistent results comparing to Prometheus on broken time series
// with irregular data points.
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return nan
}
return values[0]
}
var rollupDefault = rollupLast
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func rollupLast(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
// Do not take into account rfa.prevValue, since it may lead
// to inconsistent results comparing to Prometheus on broken time series
// with irregular data points.
return nan
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}
return values[len(values)-1]
}
func rollupDistinct(rfa *rollupFuncArg) float64 {
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
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}
m := make(map[float64]struct{})
for _, v := range values {
m[v] = struct{}{}
}
return float64(len(m))
}
func rollupIntegrate(rfa *rollupFuncArg) float64 {
prevTimestamp := rfa.prevTimestamp
// There is no need in handling NaNs here, since they must be cleaned up
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// before calling rollup funcs.
values := rfa.values
timestamps := rfa.timestamps
if len(values) == 0 {
if math.IsNaN(rfa.prevValue) {
return nan
}
return 0
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}
prevValue := rfa.prevValue
if math.IsNaN(prevValue) {
prevValue = values[0]
prevTimestamp = timestamps[0]
values = values[1:]
timestamps = timestamps[1:]
}
if len(values) == 0 {
return 0
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}
var sum float64
for i, v := range values {
timestamp := timestamps[i]
dt := float64(timestamp-prevTimestamp) * 1e-3
sum += 0.5 * (v + prevValue) * dt
prevTimestamp = timestamp
prevValue = v
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}
return sum
}
func rollupFake(rfa *rollupFuncArg) float64 {
logger.Panicf("BUG: rollupFake shouldn't be called")
return 0
}
func getScalar(arg interface{}, argNum int) ([]float64, error) {
ts, ok := arg.([]*timeseries)
if !ok {
return nil, fmt.Errorf(`unexpected type for arg #%d; got %T; want %T`, argNum+1, arg, ts)
}
if len(ts) != 1 {
return nil, fmt.Errorf(`arg #%d must contain a single timeseries; got %d timeseries`, argNum+1, len(ts))
}
return ts[0].Values, nil
}
func getString(tss []*timeseries, argNum int) (string, error) {
if len(tss) != 1 {
return "", fmt.Errorf(`arg #%d must contain a single timeseries; got %d timeseries`, argNum+1, len(tss))
}
ts := tss[0]
for _, v := range ts.Values {
if !math.IsNaN(v) {
return "", fmt.Errorf(`arg #%d contains non-string timeseries`, argNum+1)
}
}
return string(ts.MetricName.MetricGroup), nil
}
func expectRollupArgsNum(args []interface{}, expectedNum int) error {
if len(args) == expectedNum {
return nil
}
return fmt.Errorf(`unexpected number of args; got %d; want %d`, len(args), expectedNum)
}
func getRollupFuncArg() *rollupFuncArg {
v := rfaPool.Get()
if v == nil {
return &rollupFuncArg{}
}
return v.(*rollupFuncArg)
}
func putRollupFuncArg(rfa *rollupFuncArg) {
rfa.reset()
rfaPool.Put(rfa)
}
var rfaPool sync.Pool