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Indicator · Pine Script v6 · Own pane
Logistic Function (SIGMOID)
The sigmoid indicator applies the logistic function to a source series, transforming any real-valued input into the range between 0 and 1.
GitHub stars99on the repository
Pine versionv6current
Lines of code26
Settings2inputs
LicenceApache-2.0
Last update4 weeks ago27 Sep 2026
Add It to Your TradingView Chart
- 1Copy the scriptPress Copy script above, or the copy button on the code below.
- 2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
- 3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
- 4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.
Source Code
26 lines of Pine Script v6 from lib/numerics/sigmoid/sigmoid.pine, published under Apache-2.0. Keep the author's credit and licence lines when you reuse it.
// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Logistic Function (SIGMOID)", "SIGMOID", overlay=false, precision=6)
//@function Applies the logistic (sigmoid) function to a source series.
// Formula: S(x) = 1 / (1 + exp(-k * (x - x0)))
// Maps any real-valued input to the range (0, 1).
//@param src The source series.
//@param k The steepness factor of the sigmoid curve. Higher k means a steeper curve.
//@param x0 The x-value of the sigmoid's midpoint (where the output is 0.5).
//@returns The sigmoid transformed series, values between 0 and 1.
sigmoid(series float src, simple float k, float x0) =>
1 / (1 + math.exp(-k * (src - x0)))
// ---------- Main loop ----------
// Inputs
i_source = input.source(close, "Source")
i_steepness_k = input.float(0.5, "Steepness (k)", minval = 0.000001, step = 0.1)
// Calculation
sigmoidValue = sigmoid(i_source, i_steepness_k, ta.sma(i_source,200))
// Plot
plot(sigmoidValue, "Sigmoid", color=color.yellow, linewidth=2)
Overview
Logistic Function (SIGMOID) calculates the output using the formula S(x) = 1 / (1 + exp(-k * (x - x0))), where k is the steepness factor and x0 is the midpoint determined by the 200-period simple moving average of the source. The main setting allows adjustment of the steepness k to control the curve's slope. The script plots the transformed values in a separate pane rather than overlaying on the price chart. It serves as a mathematical transformation without generating buy or sell signals, and it does not repaint on the live bar.
- Sigmoid function
- Logistic transformation
- Steepness k
- Moving average midpoint
- Pane plot
Details
Published by
mihakralj on GitHub
Type
Indicator, Pine Script v6
Draws
Separate pane below the chart
Category
Moving averages
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.
| Setting | Type | Default | Variable |
|---|---|---|---|
| Source | source | close | i_source |
| Steepness (k) | float | 0.5 | i_steepness_k |
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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