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ferro-ta/crates/ferro_ta_core/src/volatility.rs
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2026-03-23 23:34:28 +05:30
//! Volatility indicators.
/// Average True Range — Wilder smoothed (TA-Lib compatible).
///
/// Seeds ATR with SMA of TR[1..=timeperiod] (bar 0 is skipped, matching TA-Lib).
/// First valid output is at index `timeperiod`; indices 0..timeperiod are NaN.
/// TR is computed on-the-fly (no separate tr Vec allocation).
pub fn atr(high: &[f64], low: &[f64], close: &[f64], timeperiod: usize) -> Vec<f64> {
let n = high.len();
let mut result = vec![f64::NAN; n];
if n <= timeperiod || timeperiod < 1 {
return result;
}
// Seed: SMA of TR[1..=timeperiod] (TA-Lib skips TR[0]).
// Compute TR on-the-fly to avoid a separate Vec allocation.
let mut seed = 0.0_f64;
for i in 1..=timeperiod {
let hl = high[i] - low[i];
let hpc = (high[i] - close[i - 1]).abs();
let lpc = (low[i] - close[i - 1]).abs();
seed += hl.max(hpc).max(lpc);
}
seed /= timeperiod as f64;
result[timeperiod] = seed;
let p = timeperiod as f64;
for i in (timeperiod + 1)..n {
let hl = high[i] - low[i];
let hpc = (high[i] - close[i - 1]).abs();
let lpc = (low[i] - close[i - 1]).abs();
let tr = hl.max(hpc).max(lpc);
result[i] = (result[i - 1] * (p - 1.0) + tr) / p;
}
result
}
/// True Range — max(H-L, |H-Cprev|, |L-Cprev|).
pub fn trange(high: &[f64], low: &[f64], close: &[f64]) -> Vec<f64> {
let n = high.len();
let mut result = vec![f64::NAN; n];
if n == 0 {
return result;
}
result[0] = high[0] - low[0];
for i in 1..n {
let hl = high[i] - low[i];
let hpc = (high[i] - close[i - 1]).abs();
let lpc = (low[i] - close[i - 1]).abs();
result[i] = hl.max(hpc).max(lpc);
}
result
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn atr_nonnegative() {
let h = vec![2.0, 3.0, 4.0, 5.0, 6.0];
let l = vec![1.0, 2.0, 3.0, 4.0, 5.0];
let c = vec![1.5, 2.5, 3.5, 4.5, 5.5];
let result = atr(&h, &l, &c, 3);
for v in result.iter().filter(|v| !v.is_nan()) {
assert!(*v >= 0.0);
}
}
}