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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Average True Range (ATR)", "ATR", overlay=false)
//@function Calculates the Average True Range (ATR)
//@param length The period length for the ATR calculation.
//@returns The ATR value.
//@optimized Beta precomputation for RMA warmup compensation
atr(simple int length) =>
var float prevClose = close
float tr1 = high - low
float tr2 = math.abs(high - prevClose)
float tr3 = math.abs(low - prevClose)
float trueRange = math.max(tr1, tr2, tr3)
prevClose := close
float alpha = 1.0 / float(length)
float beta = 1.0 - alpha
var float EPSILON = 1e-10
var float raw_rma = 0.0
var float e = 1.0
if not na(trueRange)
raw_rma := (raw_rma * (length - 1) + trueRange) / length
e *= beta
e > EPSILON ? raw_rma / (1.0 - e) : raw_rma
else
na
// ---------- Main loop ----------
// Inputs
i_length = input.int(14, "Length", minval=1, tooltip="Number of bars used for the ATR calculation")
// Calculation
atrValue = atr(i_length)
// Plot
plot(atrValue, "ATR", color=color.yellow, linewidth=2)