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wickra/crates/wickra-core/src/indicators/atr.rs
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//! Average True Range (Wilder).
use crate::error::{Error, Result};
use crate::ohlcv::Candle;
use crate::traits::Indicator;
/// Average True Range with Wilder smoothing.
///
/// The first emitted value, by convention, appears after `period` candles: the
/// first `period 1` true-range values seed the Wilder average alongside the
/// `period`-th, then the smoothed update begins.
///
/// # Example
///
/// ```
/// use wickra_core::{Candle, Indicator, Atr};
///
/// let mut indicator = Atr::new(5).unwrap();
/// let mut last = None;
/// for i in 0..80 {
/// let base = 100.0 + f64::from(i);
/// let candle =
/// Candle::new(base, base + 2.0, base - 2.0, base + 1.0, 10.0, i64::from(i)).unwrap();
/// last = indicator.update(candle);
/// }
/// assert!(last.is_some());
/// ```
#[derive(Debug, Clone)]
pub struct Atr {
period: usize,
prev_close: Option<f64>,
seed_buf: Vec<f64>,
avg: Option<f64>,
}
impl Atr {
/// Construct an ATR with the given Wilder period.
///
/// # Errors
///
/// Returns [`Error::PeriodZero`] if `period == 0`.
pub fn new(period: usize) -> Result<Self> {
if period == 0 {
return Err(Error::PeriodZero);
}
Ok(Self {
period,
prev_close: None,
seed_buf: Vec::with_capacity(period),
avg: None,
})
}
/// Configured period.
pub const fn period(&self) -> usize {
self.period
}
/// Current value if available.
pub const fn value(&self) -> Option<f64> {
self.avg
}
}
impl Indicator for Atr {
type Input = Candle;
type Output = f64;
fn update(&mut self, candle: Candle) -> Option<f64> {
let tr = candle.true_range(self.prev_close);
self.prev_close = Some(candle.close);
if let Some(avg) = self.avg {
let n = self.period as f64;
let new_avg = avg.mul_add(n - 1.0, tr) / n;
self.avg = Some(new_avg);
return Some(new_avg);
}
self.seed_buf.push(tr);
if self.seed_buf.len() == self.period {
let seed = self.seed_buf.iter().copied().sum::<f64>() / self.period as f64;
self.avg = Some(seed);
return Some(seed);
}
None
}
fn reset(&mut self) {
self.prev_close = None;
self.seed_buf.clear();
self.avg = None;
}
fn warmup_period(&self) -> usize {
self.period
}
fn is_ready(&self) -> bool {
self.avg.is_some()
}
fn name(&self) -> &'static str {
"ATR"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
fn c(h: f64, l: f64, cl: f64) -> Candle {
// ts/open/volume don't affect ATR; use safe placeholders.
Candle::new(cl, h, l, cl, 1.0, 0).unwrap()
}
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/// Independent reference: Wilder ATR computed straight from the definition.
fn atr_naive(hlc: &[(f64, f64, f64)], period: usize) -> Vec<Option<f64>> {
let n = period as f64;
let mut out = Vec::with_capacity(hlc.len());
let mut trs: Vec<f64> = Vec::new();
let mut avg: Option<f64> = None;
let mut prev_close: Option<f64> = None;
for &(h, l, cl) in hlc {
let tr = match prev_close {
None => h - l,
Some(pc) => (h - l).max((h - pc).abs()).max((l - pc).abs()),
};
prev_close = Some(cl);
if let Some(a) = avg {
let na = (a * (n - 1.0) + tr) / n;
avg = Some(na);
out.push(Some(na));
} else {
trs.push(tr);
if trs.len() == period {
avg = Some(trs.iter().sum::<f64>() / n);
out.push(avg);
} else {
out.push(None);
}
}
}
out
}
#[test]
fn rejects_zero_period() {
assert!(matches!(Atr::new(0), Err(Error::PeriodZero)));
}
#[test]
fn warmup_emits_on_period_th_candle() {
let candles = vec![
c(2.0, 1.0, 1.5),
c(3.0, 2.0, 2.5),
c(4.0, 3.0, 3.5),
c(5.0, 4.0, 4.5),
c(6.0, 5.0, 5.5),
];
let mut atr = Atr::new(3).unwrap();
let out = atr.batch(&candles);
assert!(out[0].is_none());
assert!(out[1].is_none());
assert!(out[2].is_some());
assert!(out[3].is_some());
}
#[test]
fn constant_range_yields_constant_atr() {
// Every candle has H=11, L=9, C=10 -> TR=2 (no gaps).
let candles: Vec<Candle> = (0..30).map(|_| c(11.0, 9.0, 10.0)).collect();
let mut atr = Atr::new(14).unwrap();
let out = atr.batch(&candles);
for v in out.iter().skip(13).flatten() {
assert_relative_eq!(*v, 2.0, epsilon = 1e-12);
}
}
#[test]
fn gap_up_uses_high_minus_prev_close() {
// Previous close 5, current candle H=10 L=9 C=9.5 -> TR = max(1, 5, 4) = 5.
let candles = vec![
c(6.0, 4.0, 5.0), // prev close = 5
c(10.0, 9.0, 9.5), // TR = 5
];
let mut atr = Atr::new(2).unwrap();
let out = atr.batch(&candles);
// Seed window covers TR_1 and TR_2. TR_1 = H1-L1 = 2 (no prev close). TR_2 = 5.
// Seed = (2+5)/2 = 3.5
assert_relative_eq!(out[1].unwrap(), 3.5, epsilon = 1e-12);
}
#[test]
fn batch_equals_streaming() {
let candles: Vec<Candle> = (0..40)
.map(|i| {
let mid = f64::from(i) + 10.0;
c(mid + 0.5, mid - 0.5, mid)
})
.collect();
let mut a = Atr::new(14).unwrap();
let mut b = Atr::new(14).unwrap();
assert_eq!(
a.batch(&candles),
candles.iter().map(|x| b.update(*x)).collect::<Vec<_>>()
);
}
#[test]
fn reset_clears_state() {
let candles: Vec<Candle> = (0..20).map(|_| c(11.0, 9.0, 10.0)).collect();
let mut atr = Atr::new(5).unwrap();
atr.batch(&candles);
assert!(atr.is_ready());
atr.reset();
assert!(!atr.is_ready());
assert_eq!(atr.update(candles[0]), None);
}
#[test]
fn never_negative() {
let candles: Vec<Candle> = (0..200)
.map(|i| {
let base = 100.0 + (f64::from(i) * 0.3).sin() * 5.0;
c(base + 1.0, base - 1.0, base)
})
.collect();
let mut atr = Atr::new(14).unwrap();
for v in atr.batch(&candles).into_iter().flatten() {
assert!(v >= 0.0, "ATR must be non-negative: {v}");
}
}
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proptest::proptest! {
#![proptest_config(proptest::test_runner::Config::with_cases(48))]
#[test]
fn atr_matches_naive(
period in 1usize..15,
bars in proptest::collection::vec(
(10.0_f64..1000.0, 0.0_f64..50.0, 0.0_f64..1.0),
0..120,
),
) {
// bars: (low, range, close_fraction) -> a valid OHLC candle.
let hlc: Vec<(f64, f64, f64)> = bars
.iter()
.map(|&(low, range, frac)| (low + range, low, low + range * frac))
.collect();
let candles: Vec<Candle> = hlc.iter().map(|&(h, l, cl)| c(h, l, cl)).collect();
let mut atr = Atr::new(period).unwrap();
let got = atr.batch(&candles);
let want = atr_naive(&hlc, period);
proptest::prop_assert_eq!(got.len(), want.len());
for (g, w) in got.iter().zip(want.iter()) {
match (g, w) {
(None, None) => {}
(Some(a), Some(b)) => proptest::prop_assert!(
(a - b).abs() <= 1e-9 * a.abs().max(1.0),
"got={a} want={b}"
),
_ => proptest::prop_assert!(false, "warmup mismatch"),
}
}
}
}
}