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derivative() function

content/flux/v0/stdlib/universe/derivative.md

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derivative() computes the rate of change per unit of time between subsequent non-null records.

The function assumes rows are ordered by the _time.

Output tables

The output table schema will be the same as the input table. For each input table with n rows, derivative() outputs a table with n - 1 rows.

Function type signature
js
(
    <-tables: stream[A],
    ?columns: [string],
    ?initialZero: bool,
    ?nonNegative: bool,
    ?timeColumn: string,
    ?unit: duration,
) => stream[B] where A: Record, B: Record

{{% caption %}} For more information, see Function type signatures. {{% /caption %}}

Parameters

unit

Time duration used to calculate the derivative. Default is 1s.

nonNegative

Disallow negative derivative values. Default is false.

When true, if a value is less than the previous value, the function assumes the previous value should have been a zero.

columns

List of columns to operate on. Default is ["_value"].

timeColumn

Column containing time values to use in the calculation. Default is _time.

initialZero

Use zero (0) as the initial value in the derivative calculation when the subsequent value is less than the previous value and nonNegative is true. Default is false.

tables

Input data. Default is piped-forward data (<-).

Examples

Calculate the non-negative rate of change per second

js
import "sampledata"

sampledata.int()
    |> derivative(nonNegative: true)

{{< expand-wrapper >}} {{% expand "View example input and output" %}}

Input data

_time_value*tag
2021-01-01T00:00:00Z-2t1
2021-01-01T00:00:10Z10t1
2021-01-01T00:00:20Z7t1
2021-01-01T00:00:30Z17t1
2021-01-01T00:00:40Z15t1
2021-01-01T00:00:50Z4t1
_time_value*tag
2021-01-01T00:00:00Z19t2
2021-01-01T00:00:10Z4t2
2021-01-01T00:00:20Z-3t2
2021-01-01T00:00:30Z19t2
2021-01-01T00:00:40Z13t2
2021-01-01T00:00:50Z1t2

Output data

_time_value*tag
2021-01-01T00:00:10Z1.2t1
2021-01-01T00:00:20Zt1
2021-01-01T00:00:30Z1t1
2021-01-01T00:00:40Zt1
2021-01-01T00:00:50Zt1
_time_value*tag
2021-01-01T00:00:10Zt2
2021-01-01T00:00:20Zt2
2021-01-01T00:00:30Z2.2t2
2021-01-01T00:00:40Zt2
2021-01-01T00:00:50Zt2

{{% /expand %}} {{< /expand-wrapper >}}

Calculate the rate of change per second with null values

js
import "sampledata"

sampledata.int(includeNull: true)
    |> derivative()

{{< expand-wrapper >}} {{% expand "View example input and output" %}}

Input data

_time_value*tag
2021-01-01T00:00:00Z-2t1
2021-01-01T00:00:10Zt1
2021-01-01T00:00:20Z7t1
2021-01-01T00:00:30Zt1
2021-01-01T00:00:40Zt1
2021-01-01T00:00:50Z4t1
_time_value*tag
2021-01-01T00:00:00Zt2
2021-01-01T00:00:10Z4t2
2021-01-01T00:00:20Z-3t2
2021-01-01T00:00:30Z19t2
2021-01-01T00:00:40Zt2
2021-01-01T00:00:50Z1t2

Output data

_time_value*tag
2021-01-01T00:00:10Zt1
2021-01-01T00:00:20Z0.45t1
2021-01-01T00:00:30Zt1
2021-01-01T00:00:40Zt1
2021-01-01T00:00:50Z-0.1t1
_time_value*tag
2021-01-01T00:00:10Zt2
2021-01-01T00:00:20Z-0.7t2
2021-01-01T00:00:30Z2.2t2
2021-01-01T00:00:40Zt2
2021-01-01T00:00:50Z-0.9t2

{{% /expand %}} {{< /expand-wrapper >}}