# Functions Allowing Series As Length - PineCoders FAQ

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Pinescript requires many of its built-in functions to use a simple int as their period length, which entails the period length cannot vary during the script's execution. These functions allow using a series int or series float for their period length, which means it can vary on each bar.

The functions shared in this script include:
• Rolling sum: Sum( src ,p)
• Simple moving average: Sma( src ,p)
• Rolling variance: Variance( src ,p)
• Rolling standard deviation: Stdev( src ,p)
• Rolling covariance: Covariance(x,y,p)
• Rolling correlation: Correlation(x,y,p)

If p is a float then it is rounded to the nearest int.

How to Use the Script
Most of the functions in the script are dependent on the Sma function. The Correlation function uses the Covariance and Stdev functions. Be sure you include all the required functions in your script.

Make sure the series you use as the length argument is greater than 0, else the functions will return na. When using a series as length argument, the following error might appear:
`Pine cannot determine the referencing length of a series. Try using max_bars_back in the study or strategy function.`
This can be frequent if you use barssince(condition) where condition is a relatively rare event. You can fix it by including max_bars_back=5000 in your study declaration statement as follows:
`study("Title",overlay=true,max_bars_back=5000)`

Example
The chart shows the Sma, Stdev, Covariance and Correlation functions. The Sma uses the closing price as input and bars as period length where:

`bars = barssince(change(security(syminfo.tickerid,"D",close[1],lookahead=true)))`

The Stdev uses the closing price as input and bars + 9 as period length. The Covariance and Correlation use the closing price as x and bar_index as y, with bars + 9 as period length.
Notas de Lançamento: Updated Comments
Notas de Lançamento: - Added the linearly weighted moving average as Wma and the least squares moving average as Lsma.
Notas de Lançamento: - Added Ema function
- Added Atr function
Script de código aberto

No verdadeiro espírito TradingView, o autor deste script o publicou com código aberto, para que os traders possam compreendê-lo e verificá-lo. Um brinde ao autor! Você pode usá-lo gratuitamente, mas a reutilização deste código em uma publicação é regida pelas Regras da Casa. Você pode favoritá-lo para utilizá-lo em um gráfico.

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## Comentários

Thanks for the New Years present!
Gr, JD,
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Thanks Alex and LucF! This is great!
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Great examples, thanks @PineCoders. And better late then never, best wishes and luck in 2020, cheers!
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Very elegant:
Sum(src,p) => a = cum(src), a - a****
-------------------------------------------------------------------
Sum(src,p) =>
a = cum(src) //This is the total accumulative
a - a*** //this the total a minus a from past to p period
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Thank you, this is really nice! Do you have any suggestion for the atr?
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BobAndrews
@BobAndrews, It's possible, I'll update the script soon with an Atr function.
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alexgrover
@alexgrover, that's awesome!
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BobAndrews
@BobAndrews, Done ^^
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alexgrover
@alexgrover, the Atr-Function is beautiful, thanks again! 😍
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good
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