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Indicator · Pine Script v6 · Own pane
Two-Argument Arctangent (ATAN2)
This indicator calculates the two-argument arctangent function to compute the angle in radians between the positive x-axis and a point defined by two inputs.
GitHub stars47on the repository
Pine versionv6current
Lines of code45
Settings2inputs
LicenceMIT
Last update8 months ago28 Feb 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
45 lines of Pine Script v6 from indicators/numerics/atan2.pine, published under MIT. Keep the author's credit and licence lines when you reuse it.
// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Two-Argument Arctangent (ATAN2)", "ATAN2", overlay=false, precision=6)
//@function Calculates the two-argument arctangent (atan2) with proper quadrant handling.
// Formula: atan2(y, x) returns the angle θ in radians from the positive x-axis to the point (x, y)
// Output range: (-π, π]
// Handles all four quadrants correctly, avoiding the ambiguity of atan(y/x)
//@param y The y-coordinate (opposite side)
//@param x The x-coordinate (adjacent side)
//@returns The angle in radians from -π to π
atan2(series float y, series float x) =>
if y == 0.0 and x == 0.0
runtime.error("atan2: Both y and x cannot be zero")
ay = math.abs(y)
ax = math.abs(x)
angle = 0.0
if ax > ay
angle := math.atan(ay / ax)
else
angle := (math.pi / 2.0) - math.atan(ax / ay)
if x < 0.0
angle := math.pi - angle
if y < 0.0
angle := -angle
angle
// ---------- Main loop ----------
// Inputs
i_y = input.source(high - low, "Y (Numerator)")
i_x = input.source((high + low) / 2.0, "X (Denominator)")
// Calculation
atan2Value = atan2(i_y, i_x)
// Plot
plot(atan2Value, "ATAN2", color=color.yellow, linewidth=2)
hline(0, "Zero", color=color.gray)
hline(1.5708, "π/2", color=color.new(color.gray, 70))
hline(-1.5708, "-π/2", color=color.new(color.gray, 70))
hline(3.1416, "π", color=color.new(color.gray, 70))
hline(-3.1416, "-π", color=color.new(color.gray, 70))
Overview
Two-Argument Arctangent (ATAN2) handles all four quadrants correctly, bounding results between negative pi and positive pi. The user can configure both the numerator and denominator sources, which default to candle range and midpoint. It plots the resulting angle in a separate pane alongside horizontal reference lines at zero, half pi, and full pi levels.
- Four-quadrant arctangent calculation
- Radian output range from negative pi to pi
- Customizable numerator and denominator inputs
- Horizontal reference lines for key radian angles
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
pinescriptpinescript-indicatorstechnical-analysistradingview-indicators
Settings
The inputs you can change from the gear icon on the chart. Defaults are the author's.
| Setting | Type | Default | Variable |
|---|---|---|---|
| Y (Numerator) | source | high - low | i_y |
| X (Denominator) | source | (high + low) / 2.0 | i_x |
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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