OPEN-SOURCE SCRIPT
META: Kahan Summation (Scripting Exercise)

I was curious to see what Pine uses to accumulate numbers. It looks like it uses the simple "add em up" approach, rather than a compensated summation. This means that especially for large numbers, there is an inherent error amount.
This script implements the Kahan Summation Algorithm, also known as compensated summation.
en.wikipedia.org/wiki/Kahan_summation_algorithm
This is part 2 of my study into the builtin stdev function. I think this is why it differs so much from the simple two-pass solution.

This script implements the Kahan Summation Algorithm, also known as compensated summation.
en.wikipedia.org/wiki/Kahan_summation_algorithm
This is part 2 of my study into the builtin stdev function. I think this is why it differs so much from the simple two-pass solution.

Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
For quick access on a chart, add this script to your favorites — learn more here.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
For quick access on a chart, add this script to your favorites — learn more here.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.