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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Simple Moving Average (SMA)", "SMA", overlay=true)
//@function Calculates SMA using simple smoothing with compensator
//@param source Series to calculate SMA from
//@param period Lookback period - FIR window size
//@returns SMA value, calculates from first bar using available data
//@optimized Uses circular buffer and running sum for O(1) complexity
sma(series float source, simple int period) =>
if period <= 0
runtime.error("Period must be greater than 0")
int p = period
var array<float> buffer = array.new_float(p, na)
var int head = 0
var float sum = 0.0
var int count = 0
float oldest = array.get(buffer, head)
if not na(oldest)
sum -= oldest
else
count += 1
float current = nz(source)
sum += current
array.set(buffer, head, current)
head := (head + 1) % p
sum / math.max(1, count)
// ---------- Main loop ----------
// Inputs
i_period = input.int(10, "Period", minval=1)
i_source = input.source(close, "Source")
// Calculation
sma_value = sma(i_source, i_period)
// Plot
plot(sma_value, "SMA", color=color.yellow, linewidth=2)