Indicator · Pine Script v6 · Own pane

Mean Arctangent Absolute Percentage Error

by mihakralj

This indicator calculates the Mean Arctangent Absolute Percentage Error between two data series over a specified rolling window.

View on GitHub

GitHub stars99on the repository
Pine versionv6current
Lines of code36
Settings3inputs
LicenceApache-2.0
Last update4 weeks ago27 Sep 2026

Add It to Your TradingView Chart

  1. 1Copy the scriptPress Copy script above, or the copy button on the code below.
  2. 2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
  3. 3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
  4. 4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.

Source Code

36 lines of Pine Script v6 from lib/errors/maape/maape.pine, published under Apache-2.0. Keep the author's credit and licence lines when you reuse it.

maape.pine
// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Mean Arctangent Absolute Percentage Error", "MAAPE", overlay=false, format=format.percent)

//@function Calculates Mean Arctangent Absolute Percentage Error
//@param   actual Series of actual values
//@param   predicted Series of predicted/forecast values
//@param   length Rolling window for averaging
//@returns MAAPE value (0 to ~1.5708)
maape(series float actual, series float predicted, simple int length) =>
    float epsilon = 1e-10

    // Compute arctangent percentage error for current bar
    float absActual = math.abs(nz(actual, 0.0))
    float absError = math.abs(nz(actual, 0.0) - nz(predicted, 0.0))
    float atanError = absActual > epsilon ? math.atan(absError / absActual) : math.pi / 2.0

    // Rolling mean of arctangent errors
    float result = ta.sma(atanError, length)
    result

// ---------- Main loop ----------

// Inputs
i_length = input.int(14, "Length", minval=1)
i_actual = input.source(close, "Actual")
i_predicted = input.source(open, "Predicted")

// Calculation
maape_value = maape(i_actual, i_predicted, i_length)

// Plot
plot(maape_value, "MAAPE", color=color.yellow, linewidth=2)
hline(0, "Zero", color=color.gray, linestyle=hline.style_dotted)
hline(math.pi / 2.0, "Max (π/2)", color=color.red, linestyle=hline.style_dotted)

Overview

Mean Arctangent Absolute Percentage Error evaluates the absolute difference between an actual source and a predicted source, scaling errors via the arctangent function. The script plots the resulting error line in a separate pane alongside reference levels at zero and maximum values. Input settings allow users to adjust the rolling length as well as the price sources for both inputs. The script serves purely as a measurement tool and does not generate trading signals.

Details

Published by

mihakralj on GitHub

Type

Indicator, Pine Script v6

Draws

Separate pane below the chart

Markets

Any symbol

Timeframes

Any timeframe

Risk Notes

No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.

Topics

algorithmic-tradingcsharpdotnetpinescriptpythonquantitative-financesimdta-libtechnical-analysistechnical-indicators

Settings

The inputs you can change from the gear icon on the chart. Defaults are the author's.

SettingTypeDefaultVariable
Lengthint14i_length
Actualsourceclosei_actual
Predictedsourceopeni_predicted
Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.

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