mirror of
https://github.com/hanzoai/traces.git
synced 2026-10-30 18:20:41 +00:00
Carles GarciaandGitHub
840fa673c1
Add tempo_metrics_generator_registry_active_series_demand_estimate that estimates the active series demand. This is especially useful when the active series reaches the max limit. It uses HyperLogLog to estimate the cardinality with only 5KB per tenant, without having to store rejected series in memory.
274 lines
8.3 KiB
Go
274 lines
8.3 KiB
Go
package hyperloglog
|
|
|
|
import (
|
|
"fmt"
|
|
"math"
|
|
)
|
|
|
|
var betaMap = map[uint8]func(float64) float64{
|
|
4: beta4,
|
|
5: beta5,
|
|
6: beta6,
|
|
7: beta7,
|
|
8: beta8,
|
|
9: beta9,
|
|
10: beta10,
|
|
11: beta11,
|
|
12: beta12,
|
|
13: beta13,
|
|
14: beta14,
|
|
15: beta15,
|
|
16: beta16,
|
|
17: beta17,
|
|
18: beta18,
|
|
}
|
|
|
|
func beta(p uint8, ez float64) float64 {
|
|
f, ok := betaMap[p]
|
|
if !ok {
|
|
panic(fmt.Sprintf("invalid precision %d", p))
|
|
}
|
|
return f(ez)
|
|
}
|
|
|
|
/*
|
|
p=4
|
|
[-0.582581413904517,-1.935300357560050,11.07932375 8035073,-22.131357446444323,22.505391846630037,-12 .000723834917984,3.220579408194167,-0.342225302271 235]
|
|
*/
|
|
func beta4(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.582581413904517*ez +
|
|
-1.935300357560050*zl +
|
|
11.079323758035073*math.Pow(zl, 2) +
|
|
-22.131357446444323*math.Pow(zl, 3) +
|
|
22.505391846630037*math.Pow(zl, 4) +
|
|
-12.000723834917984*math.Pow(zl, 5) +
|
|
3.220579408194167*math.Pow(zl, 6) +
|
|
-0.342225302271235*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=5
|
|
[-0.7518999460733967,-0.9590030077748760,5.5997371 322141607,-8.2097636999765520,6.5091254894472037,- 2.6830293734323729,0.5612891113138221,-0.046333162 2196545]
|
|
*/
|
|
func beta5(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.7518999460733967*ez +
|
|
-0.9590030077748760*zl +
|
|
5.5997371322141607*math.Pow(zl, 2) +
|
|
-8.2097636999765520*math.Pow(zl, 3) +
|
|
6.5091254894472037*math.Pow(zl, 4) +
|
|
-2.6830293734323729*math.Pow(zl, 5) +
|
|
0.5612891113138221*math.Pow(zl, 6) +
|
|
-0.0463331622196545*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=6
|
|
[29.8257900969619634,-31.3287083337725925,-10.5942 523036582283,-11.5720125689099618,3.81887543739074 92,-2.4160130328530811,0.4542208940970826,-0.05751 55452020420]
|
|
*/
|
|
func beta6(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return 29.8257900969619634*ez +
|
|
-31.3287083337725925*zl +
|
|
-10.5942523036582283*math.Pow(zl, 2) +
|
|
-11.5720125689099618*math.Pow(zl, 3) +
|
|
3.8188754373907492*math.Pow(zl, 4) +
|
|
-2.4160130328530811*math.Pow(zl, 5) +
|
|
0.4542208940970826*math.Pow(zl, 6) +
|
|
-0.0575155452020420*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=7
|
|
[2.8102921290820060,-3.9780498518175995,1.31626800 41351582,-3.9252486335805901,2.0080835753946471,-0 .7527151937556955,0.1265569894242751,-0.0109946438726240]
|
|
*/
|
|
func beta7(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return 2.8102921290820060*ez +
|
|
-3.9780498518175995*zl +
|
|
1.3162680041351582*math.Pow(zl, 2) +
|
|
-3.9252486335805901*math.Pow(zl, 3) +
|
|
2.0080835753946471*math.Pow(zl, 4) +
|
|
-0.7527151937556955*math.Pow(zl, 5) +
|
|
0.1265569894242751*math.Pow(zl, 6) +
|
|
-0.0109946438726240*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=8
|
|
[1.00633544887550519,-2.00580666405112407,1.643697 49366514117,-2.70560809940566172,1.392099802442225 98,-0.46470374272183190,0.07384282377269775,-0.00578554885254223]
|
|
*/
|
|
func beta8(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return 1.00633544887550519*ez +
|
|
-2.00580666405112407*zl +
|
|
1.64369749366514117*math.Pow(zl, 2) +
|
|
-2.70560809940566172*math.Pow(zl, 3) +
|
|
1.39209980244222598*math.Pow(zl, 4) +
|
|
-0.46470374272183190*math.Pow(zl, 5) +
|
|
0.07384282377269775*math.Pow(zl, 6) +
|
|
-0.00578554885254223*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=9
|
|
[-0.09415657458167959,-0.78130975924550528,1.71514 946750712460,-1.73711250406516338,0.86441508489048 924,-0.23819027465047218,0.03343448400269076,-0.00 207858528178157]
|
|
*/
|
|
func beta9(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.09415657458167959*ez +
|
|
-0.78130975924550528*zl +
|
|
1.71514946750712460*math.Pow(zl, 2) +
|
|
-1.73711250406516338*math.Pow(zl, 3) +
|
|
0.86441508489048924*math.Pow(zl, 4) +
|
|
-0.23819027465047218*math.Pow(zl, 5) +
|
|
0.03343448400269076*math.Pow(zl, 6) +
|
|
-0.00207858528178157*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=10
|
|
[-0.25935400670790054,-0.52598301999805808,1.48933 034925876839,-1.29642714084993571,0.62284756217221615,-0.15672326770251041,0.02054415903878563,-0.00 112488483925502]
|
|
*/
|
|
func beta10(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.25935400670790054*ez +
|
|
-0.52598301999805808*zl +
|
|
1.48933034925876839*math.Pow(zl, 2) +
|
|
-1.29642714084993571*math.Pow(zl, 3) +
|
|
0.62284756217221615*math.Pow(zl, 4) +
|
|
-0.15672326770251041*math.Pow(zl, 5) +
|
|
0.02054415903878563*math.Pow(zl, 6) +
|
|
-0.00112488483925502*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=11
|
|
[-4.32325553856025e-01,-1.08450736399632e-01,6.091 56550741120e-01,-1.65687801845180e-02,-7.958293410 87617e-02,4.71830602102918e-02,-7.81372902346934e- 03,5.84268708489995e-04]
|
|
*/
|
|
func beta11(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.432325553856025*ez +
|
|
-0.108450736399632*zl +
|
|
0.609156550741120*math.Pow(zl, 2) +
|
|
-0.0165687801845180*math.Pow(zl, 3) +
|
|
-0.0795829341087617*math.Pow(zl, 4) +
|
|
0.0471830602102918*math.Pow(zl, 5) +
|
|
-0.00781372902346934*math.Pow(zl, 6) +
|
|
0.000584268708489995*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=12
|
|
[-3.84979202588598e-01,1.83162233114364e-01,1.3039 6688841854e-01,7.04838927629266e-02,-8.95893971464 453e-03,1.13010036741605e-02,-1.94285569591290e-03 ,2.25435774024964e-04]
|
|
*/
|
|
func beta12(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.384979202588598*ez +
|
|
0.183162233114364*zl +
|
|
0.130396688841854*math.Pow(zl, 2) +
|
|
0.0704838927629266*math.Pow(zl, 3) +
|
|
-0.0089589397146453*math.Pow(zl, 4) +
|
|
0.0113010036741605*math.Pow(zl, 5) +
|
|
-0.00194285569591290*math.Pow(zl, 6) +
|
|
0.000225435774024964*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=13
|
|
[-0.41655270946462997,-0.22146677040685156,0.38862 131236999947,0.45340979746062371,-0.36264738324476 375,0.12304650053558529,-0.01701540384555510,0.001 02750367080838]
|
|
*/
|
|
func beta13(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.41655270946462997*ez +
|
|
-0.22146677040685156*zl +
|
|
0.38862131236999947*math.Pow(zl, 2) +
|
|
0.45340979746062371*math.Pow(zl, 3) +
|
|
-0.36264738324476375*math.Pow(zl, 4) +
|
|
0.12304650053558529*math.Pow(zl, 5) +
|
|
-0.01701540384555510*math.Pow(zl, 6) +
|
|
0.00102750367080838*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=14
|
|
[-3.71009760230692e-01,9.78811941207509e-03,1.8579 6293324165e-01,2.03015527328432e-01,-1.16710521803 686e-01,4.31106699492820e-02,-5.99583540511831e-03 ,4.49704299509437e-04]
|
|
*/
|
|
|
|
func beta14(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.371009760230692*ez +
|
|
0.00978811941207509*zl +
|
|
0.185796293324165*math.Pow(zl, 2) +
|
|
0.203015527328432*math.Pow(zl, 3) +
|
|
-0.116710521803686*math.Pow(zl, 4) +
|
|
0.0431106699492820*math.Pow(zl, 5) +
|
|
-0.00599583540511831*math.Pow(zl, 6) +
|
|
0.000449704299509437*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=15
|
|
[-0.38215145543875273,-0.89069400536090837,0.37602 335774678869,0.99335977440682377,-0.65577441638318 956,0.18332342129703610,-0.02241529633062872,0.001 21399789330194]
|
|
*/
|
|
func beta15(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.38215145543875273*ez +
|
|
-0.89069400536090837*zl +
|
|
0.37602335774678869*math.Pow(zl, 2) +
|
|
0.99335977440682377*math.Pow(zl, 3) +
|
|
-0.65577441638318956*math.Pow(zl, 4) +
|
|
0.18332342129703610*math.Pow(zl, 5) +
|
|
-0.02241529633062872*math.Pow(zl, 6) +
|
|
0.00121399789330194*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=16
|
|
[-0.37331876643753059,-1.41704077448122989,0.407291 84796612533,1.56152033906584164,-0.99242233534286128,0.26064681399483092,-0.03053811369682807,0.00155770210179105]
|
|
*/
|
|
func beta16(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.37331876643753059*ez +
|
|
-1.41704077448122989*zl +
|
|
0.40729184796612533*math.Pow(zl, 2) +
|
|
1.56152033906584164*math.Pow(zl, 3) +
|
|
-0.99242233534286128*math.Pow(zl, 4) +
|
|
0.26064681399483092*math.Pow(zl, 5) +
|
|
-0.03053811369682807*math.Pow(zl, 6) +
|
|
0.00155770210179105*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=17
|
|
[-0.36775502299404605,0.53831422351377967,0.769702 89278767923,0.55002583586450560,-0.745755882611469 41,0.25711835785821952,-0.03437902606864149,0.0018 5949146371616]
|
|
*/
|
|
func beta17(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.36775502299404605*ez +
|
|
0.53831422351377967*zl +
|
|
0.76970289278767923*math.Pow(zl, 2) +
|
|
0.55002583586450560*math.Pow(zl, 3) +
|
|
-0.74575588261146941*math.Pow(zl, 4) +
|
|
0.25711835785821952*math.Pow(zl, 5) +
|
|
-0.03437902606864149*math.Pow(zl, 6) +
|
|
0.00185949146371616*math.Pow(zl, 7)
|
|
}
|
|
|
|
/*
|
|
p=18
|
|
[-0.36479623325960542,0.99730412328635032,1.553543 86230081221,1.25932677198028919,-1.533259482091101 63,0.47801042200056593,-0.05951025172951174,0.0029 1076804642205]
|
|
*/
|
|
func beta18(ez float64) float64 {
|
|
zl := math.Log(ez + 1)
|
|
return -0.36479623325960542*ez +
|
|
0.99730412328635032*zl +
|
|
1.55354386230081221*math.Pow(zl, 2) +
|
|
1.25932677198028919*math.Pow(zl, 3) +
|
|
-1.53325948209110163*math.Pow(zl, 4) +
|
|
0.47801042200056593*math.Pow(zl, 5) +
|
|
-0.05951025172951174*math.Pow(zl, 6) +
|
|
0.00291076804642205*math.Pow(zl, 7)
|
|
}
|