mirror of
https://github.com/mihakralj/QuanTAlib.git
synced 2026-07-27 17:27:43 +00:00
51 lines
1.9 KiB
Plaintext
51 lines
1.9 KiB
Plaintext
// Licensed under the Apache License, Version 2.0
|
|
// © mihakralj
|
|
//@version=6
|
|
indicator("Bollinger Bands (BBANDS)", "BBANDS", overlay=true)
|
|
|
|
//@function Calculates Bollinger Bands with adjustable period and multiplier
|
|
//@param source Series to calculate Bollinger Bands from
|
|
//@param period Lookback period for calculations
|
|
//@param multiplier Standard deviation multiplier for band width
|
|
//@returns tuple with [middle, upper, lower] band values
|
|
//@optimized Uses circular buffer with running sums, O(1) complexity per bar
|
|
bbands(series float source, simple int period, simple float multiplier) =>
|
|
if period <= 0 or multiplier <= 0.0
|
|
runtime.error("Period and multiplier must be greater than 0")
|
|
var int p = math.max(1, period)
|
|
var int head = 0
|
|
var int count = 0
|
|
var array<float> buffer = array.new_float(p, na)
|
|
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 current_val = nz(source)
|
|
sum += current_val
|
|
sumSq += current_val * current_val
|
|
count += 1
|
|
array.set(buffer, head, current_val)
|
|
head := (head + 1) % p
|
|
float basis = nz(sum / count, source)
|
|
float dev = count > 1 ? multiplier * math.sqrt(math.max(0.0, sumSq / count - basis * basis)) : 0.0
|
|
[basis, basis + dev, basis - dev]
|
|
|
|
// ---------- Main loop ----------
|
|
|
|
// Inputs
|
|
i_period = input.int(20, "Period", minval=1)
|
|
i_source = input.source(close, "Source")
|
|
i_multiplier = input.float(2.0, "StdDev Multiplier", minval=0.001)
|
|
|
|
// Calculation
|
|
[basis, upper, lower] = bbands(i_source, i_period, i_multiplier)
|
|
|
|
// Plot
|
|
plot(basis, "Basis", color=color.yellow, linewidth=2)
|
|
p1 = plot(upper, "Upper", color=color.yellow, linewidth=2)
|
|
p2 = plot(lower, "Lower", color=color.yellow, linewidth=2)
|
|
fill(p1, p2, color=color.new(color.blue, 90), title="Band Fill")
|