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QuanTAlib/lib/statistics/stddev/stddev.pine
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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Standard Deviation (STDDEV)", "STDDEV", overlay=false)
//@function Calculates the standard deviation using a single pass with a circular buffer.
//@param src {series float} Source series.
//@param len {int} Lookback length. `len` > 0.
//@returns {series float} Standard deviation of `src` for `len` bars back. Returns `na` if not enough data.
stddev(series float src, int len) =>
if len <= 0
runtime.error("Period must be greater than 0")
var int p = math.max(1, len)
var array<float> buffer = array.new_float(p, na)
var int head = 0, var int count = 0
var float sum = 0.0, var float sumSq = 0.0
float oldest = array.get(buffer, head)
if not na(oldest)
sum -= oldest
sumSq -= oldest * oldest
count -= 1
float val = nz(src)
sum += val
sumSq += val * val
count += 1
array.set(buffer, head, val)
head := (head + 1) % p
count > 1 ? math.sqrt(math.max(0.0, (sumSq / count) - math.pow(sum / count, 2))) : 0.0
// ---------- Main loop ----------
// Inputs
i_period = input.int(14, "Period", minval=1) // Default period 14
i_source = input.source(close, "Source")
// Calculation
stddev_value = stddev(i_source, i_period)
// Plot
plot(stddev_value, "StdDev", color=color.yellow, linewidth=2) // Changed color