// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Rogers-Satchell Volatility (RSV)", "RSV", overlay=false)

//@function Calculates Rogers-Satchell Volatility.
//@param length The lookback period for the SMA smoothing of the Rogers-Satchell variance. Default is 20.
//@param annualize Boolean to indicate if the volatility should be annualized. Default is true.
//@param annualPeriods Number of periods in a year for annualization. Default is 252 for daily data.
//@returns float The Rogers-Satchell Volatility value.
rsv(simple int length, simple bool annualize = true, simple int annualPeriods = 252) =>
    float h = math.max(high, 0.0000001)
    float l = math.max(low, 0.0000001)
    float o = math.max(open, 0.0000001)
    float c = math.max(close, 0.0000001)
    float term1 = math.log(h / o)
    float term2 = math.log(h / c)
    float term3 = math.log(l / o)
    float term4 = math.log(l / c)
    float rs_variance_period = (term1 * term2) + (term3 * term4)
    float smoothed_rs_variance = ta.sma(rs_variance_period, length)
    float volatility_period = math.sqrt(math.max(0.0, smoothed_rs_variance))
    float final_volatility = volatility_period
    if annualize and not na(final_volatility)
        final_volatility := final_volatility * math.sqrt(float(annualPeriods))
    final_volatility

// ---------- Main loop ----------
// Inputs
i_length_rsv = input.int(20, "Length", minval=1, tooltip="Lookback period for SMA smoothing of Rogers-Satchell variance.")
i_annualize_rsv = input.bool(true, "Annualize Volatility", tooltip="Annualize the Rogers-Satchell Volatility output.")
i_annualPeriods_rsv = input.int(252, "Annual Periods", minval=1, tooltip="Number of periods in a year for annualization (e.g., 252 for daily, 52 for weekly).")

// Calculation
rsvValue = rsv(i_length_rsv, i_annualize_rsv, i_annualPeriods_rsv)

// Plot
plot(rsvValue, "RSV", color=color.yellow, linewidth=2)