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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Chande Forecast Oscillator (CFO)", "CFO", overlay=false)
//@function Chande Forecast Oscillator - measures percentage difference between price and forecasted price
//@param source Price data to analyze
//@param period Number of bars for linear regression calculation
//@returns Oscillator value showing forecast error percentage
//@optimized O(1) complexity using incremental sumXY maintenance
cfo(series float source, simple int period) =>
if period <= 0
runtime.error("Period must be greater than 0")
if period > 5000
runtime.error("Period exceeds maximum of 5000")
var int count = 0
var int head = 0
var float sumY = 0.0
var float sumXY = 0.0
var array<float> buffer = array.new_float(period, na)
if na(source)
na
else
float oldest = array.get(buffer, head)
if not na(oldest)
sumY -= oldest
sumXY -= sumY
sumXY += (period - 1) * source
else
sumXY += count * source
count += 1
sumY += source
array.set(buffer, head, source)
head := (head + 1) % period
if count < period
na
else
float sumX = period * (period - 1) / 2
float sumX2 = period * (period - 1) * (2 * period - 1) / 6
float denomX = period * sumX2 - sumX * sumX
float slope = (period * sumXY - sumX * sumY) / denomX
float intercept = (sumY - slope * sumX) / period
float tsf = intercept + slope * (period - 1)
float result = source == 0.0 ? na : 100.0 * (source - tsf) / source
result
// ---------- Main loop ----------
i_period = input.int(14, "Period", minval=1, maxval=5000)
i_source = input.source(close, "Source")
result = cfo(i_source, i_period)
plot(result, "CFO", color=color.yellow, linewidth=2)
hline(0, "Zero Line", color=color.gray, linestyle=hline.style_dotted)