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- // Copyright 2015 The Prometheus Authors
- // Licensed under the Apache License, Version 2.0 (the "License");
- // you may not use this file except in compliance with the License.
- // You may obtain a copy of the License at
- //
- // http://www.apache.org/licenses/LICENSE-2.0
- //
- // Unless required by applicable law or agreed to in writing, software
- // distributed under the License is distributed on an "AS IS" BASIS,
- // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- // See the License for the specific language governing permissions and
- // limitations under the License.
- package promql
- import (
- "math"
- )
- // Function represents a function of the expression language and is
- // used by function nodes.
- type Function struct {
- Name string
- ArgTypes []ValueType
- Variadic int
- ReturnType ValueType
- }
- // Calculate the trend value at the given index i in raw data d.
- // This is somewhat analogous to the slope of the trend at the given index.
- // The argument "s" is the set of computed smoothed values.
- // The argument "b" is the set of computed trend factors.
- // The argument "d" is the set of raw input values.
- func calcTrendValue(i int, sf, tf, s0, s1, b float64) float64 {
- if i == 0 {
- return b
- }
- x := tf * (s1 - s0)
- y := (1 - tf) * b
- return x + y
- }
- // linearRegression performs a least-square linear regression analysis on the
- // provided SamplePairs. It returns the slope, and the intercept value at the
- // provided time.
- func linearRegression(samples []Point, interceptTime int64) (slope, intercept float64) {
- var (
- n float64
- sumX, sumY float64
- sumXY, sumX2 float64
- )
- for _, sample := range samples {
- x := float64(sample.T-interceptTime) / 1e3
- n += 1.0
- sumY += sample.V
- sumX += x
- sumXY += x * sample.V
- sumX2 += x * x
- }
- covXY := sumXY - sumX*sumY/n
- varX := sumX2 - sumX*sumX/n
- slope = covXY / varX
- intercept = sumY/n - slope*sumX/n
- return slope, intercept
- }
- var functions = map[string]*Function{
- "abs": {
- Name: "abs",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "absent": {
- Name: "absent",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "avg_over_time": {
- Name: "avg_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "ceil": {
- Name: "ceil",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "changes": {
- Name: "changes",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "clamp_max": {
- Name: "clamp_max",
- ArgTypes: []ValueType{ValueTypeVector, ValueTypeScalar},
- ReturnType: ValueTypeVector,
- },
- "clamp_min": {
- Name: "clamp_min",
- ArgTypes: []ValueType{ValueTypeVector, ValueTypeScalar},
- ReturnType: ValueTypeVector,
- },
- "count_over_time": {
- Name: "count_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "days_in_month": {
- Name: "days_in_month",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "day_of_month": {
- Name: "day_of_month",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "day_of_week": {
- Name: "day_of_week",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "delta": {
- Name: "delta",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "deriv": {
- Name: "deriv",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "exp": {
- Name: "exp",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "floor": {
- Name: "floor",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "histogram_quantile": {
- Name: "histogram_quantile",
- ArgTypes: []ValueType{ValueTypeScalar, ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "holt_winters": {
- Name: "holt_winters",
- ArgTypes: []ValueType{ValueTypeMatrix, ValueTypeScalar, ValueTypeScalar},
- ReturnType: ValueTypeVector,
- },
- "hour": {
- Name: "hour",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "idelta": {
- Name: "idelta",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "increase": {
- Name: "increase",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "irate": {
- Name: "irate",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "label_replace": {
- Name: "label_replace",
- ArgTypes: []ValueType{ValueTypeVector, ValueTypeString, ValueTypeString, ValueTypeString, ValueTypeString},
- ReturnType: ValueTypeVector,
- },
- "label_join": {
- Name: "label_join",
- ArgTypes: []ValueType{ValueTypeVector, ValueTypeString, ValueTypeString, ValueTypeString},
- Variadic: -1,
- ReturnType: ValueTypeVector,
- },
- "ln": {
- Name: "ln",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "log10": {
- Name: "log10",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "log2": {
- Name: "log2",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "max_over_time": {
- Name: "max_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "min_over_time": {
- Name: "min_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "minute": {
- Name: "minute",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "month": {
- Name: "month",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "predict_linear": {
- Name: "predict_linear",
- ArgTypes: []ValueType{ValueTypeMatrix, ValueTypeScalar},
- ReturnType: ValueTypeVector,
- },
- "quantile_over_time": {
- Name: "quantile_over_time",
- ArgTypes: []ValueType{ValueTypeScalar, ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "rate": {
- Name: "rate",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "resets": {
- Name: "resets",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "round": {
- Name: "round",
- ArgTypes: []ValueType{ValueTypeVector, ValueTypeScalar},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- "scalar": {
- Name: "scalar",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeScalar,
- },
- "sort": {
- Name: "sort",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "sort_desc": {
- Name: "sort_desc",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "sqrt": {
- Name: "sqrt",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "stddev_over_time": {
- Name: "stddev_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "stdvar_over_time": {
- Name: "stdvar_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "sum_over_time": {
- Name: "sum_over_time",
- ArgTypes: []ValueType{ValueTypeMatrix},
- ReturnType: ValueTypeVector,
- },
- "time": {
- Name: "time",
- ArgTypes: []ValueType{},
- ReturnType: ValueTypeScalar,
- },
- "timestamp": {
- Name: "timestamp",
- ArgTypes: []ValueType{ValueTypeVector},
- ReturnType: ValueTypeVector,
- },
- "vector": {
- Name: "vector",
- ArgTypes: []ValueType{ValueTypeScalar},
- ReturnType: ValueTypeVector,
- },
- "year": {
- Name: "year",
- ArgTypes: []ValueType{ValueTypeVector},
- Variadic: 1,
- ReturnType: ValueTypeVector,
- },
- }
- // getFunction returns a predefined Function object for the given name.
- func getFunction(name string) (*Function, bool) {
- function, ok := functions[name]
- return function, ok
- }
- type vectorByValueHeap Vector
- func (s vectorByValueHeap) Len() int {
- return len(s)
- }
- func (s vectorByValueHeap) Less(i, j int) bool {
- if math.IsNaN(s[i].V) {
- return true
- }
- return s[i].V < s[j].V
- }
- func (s vectorByValueHeap) Swap(i, j int) {
- s[i], s[j] = s[j], s[i]
- }
- func (s *vectorByValueHeap) Push(x interface{}) {
- *s = append(*s, *(x.(*Sample)))
- }
- func (s *vectorByValueHeap) Pop() interface{} {
- old := *s
- n := len(old)
- el := old[n-1]
- *s = old[0 : n-1]
- return el
- }
- type vectorByReverseValueHeap Vector
- func (s vectorByReverseValueHeap) Len() int {
- return len(s)
- }
- func (s vectorByReverseValueHeap) Less(i, j int) bool {
- if math.IsNaN(s[i].V) {
- return true
- }
- return s[i].V > s[j].V
- }
- func (s vectorByReverseValueHeap) Swap(i, j int) {
- s[i], s[j] = s[j], s[i]
- }
- func (s *vectorByReverseValueHeap) Push(x interface{}) {
- *s = append(*s, *(x.(*Sample)))
- }
- func (s *vectorByReverseValueHeap) Pop() interface{} {
- old := *s
- n := len(old)
- el := old[n-1]
- *s = old[0 : n-1]
- return el
- }
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