Pine Script Absolute Value: How to Use math.abs() in TradingView

Syntax and behavior of math.abs() in Pine Script v6

The math.abs() function operates on both simple scalars and dynamic series values. It is widely applied in technical indicators to measure divergence width, bar range size, and stop distances where the direction of the price offset is irrelevant.

Complete Pine Script v6 indicator using absolute value

The following script computes the absolute distance between price and an exponential moving average, then divides by the magnitude of price to express a non-negative percentage distance. It cannot distinguish above-EMA from below-EMA moves or establish overbought/oversold conditions. A zero or missing denominator returns na.

//@version=6
indicator("Absolute Distance Oscillator [v6]", overlay = false)

// Input settings
int maLength = input.int(20, "Moving Average Length", minval = 1)
float thresholdPercent = input.float(1.5, "Stretch Threshold (%)", minval = 0.1)

// Calculations
float maValue = ta.ema(close, maLength)
float rawDistance = close - maValue
float absoluteDistance = math.abs(rawDistance)
float percentDistance = not na(close) and close != 0 ? (absoluteDistance / math.abs(close)) * 100.0 : na

// Color assignment based on threshold breach
color plotColor = percentDistance > thresholdPercent ? color.red : color.teal

// Visual output
plot(percentDistance, "Absolute Distance %", color = plotColor, linewidth = 2)
hline(thresholdPercent, "Stretch Line", color = color.gray, linestyle = hline.style_dashed)
hline(0.0, "Zero Line", color = color.gray)

Common mistakes when calculating absolute value

Traders and developers frequently encounter subtle calculation errors when dealing with numeric signs in Pine Script:

• Namespace omission: The old built-in abs() name is not available as that built-in in v5/v6. Use math.abs() rather than expecting only a compiler warning.
• Handling na returns: A missing numeric input produces a missing result. Use an explicit numeric type for an na literal. Replacing missing data with zero changes the calculation and is appropriate only when zero is the intended fallback.
• Directional loss: Absolute value removes sign data. If your strategy logic requires knowing whether price is above or below an EMA, retain the raw difference alongside the absolute distance.
• Series type compatibility: math.abs() accepts both integers and floats, returning the same numeric type as the provided argument.

When to use math.abs() vs math.max() or math.min()

While math.abs() extracts raw magnitude, related math functions serve distinct mathematical purposes in strategy development:

• math.abs(x - y): Measures the absolute distance between two levels regardless of which is higher.
• math.max(x, y): Returns the greater value. Taking the maximum of an existing long stop and a new candidate prevents that stop level from decreasing; it does not guarantee a fill at that price.
• math.min(x, y): Returns the lesser value. It can cap a calculated value or prevent a short-position stop from increasing when used with the previous stop.