use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::prelude::ToPrimitive;
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct TrueRangeZScore {
name: String,
period: usize,
window: VecDeque<Decimal>,
sum: Decimal,
sum_sq: Decimal,
prev_close: Option<Decimal>,
}
impl TrueRangeZScore {
pub fn new(name: impl Into<String>, period: usize) -> Result<Self, FinError> {
if period < 2 {
return Err(FinError::InvalidPeriod(period));
}
Ok(Self {
name: name.into(),
period,
window: VecDeque::with_capacity(period),
sum: Decimal::ZERO,
sum_sq: Decimal::ZERO,
prev_close: None,
})
}
}
impl Signal for TrueRangeZScore {
fn name(&self) -> &str { &self.name }
fn period(&self) -> usize { self.period }
fn is_ready(&self) -> bool { self.window.len() >= self.period }
fn update(&mut self, bar: &BarInput) -> Result<SignalValue, FinError> {
let tr = bar.true_range(self.prev_close);
self.prev_close = Some(bar.close);
self.sum += tr;
self.sum_sq += tr * tr;
self.window.push_back(tr);
if self.window.len() > self.period {
let removed = self.window.pop_front().unwrap();
self.sum -= removed;
self.sum_sq -= removed * removed;
}
if self.window.len() < self.period {
return Ok(SignalValue::Unavailable);
}
let n = Decimal::from(self.period as u32);
let mean = self.sum
.checked_div(n)
.ok_or(FinError::ArithmeticOverflow)?;
let mean_sq = self.sum_sq
.checked_div(n)
.ok_or(FinError::ArithmeticOverflow)?;
let variance = (mean_sq - mean * mean).max(Decimal::ZERO);
let std_f64 = variance.to_f64().unwrap_or(0.0).sqrt();
if std_f64 <= 0.0 {
return Ok(SignalValue::Unavailable);
}
let tr_f64 = tr.to_f64().unwrap_or(0.0);
let mean_f64 = mean.to_f64().unwrap_or(0.0);
let z = (tr_f64 - mean_f64) / std_f64;
Ok(SignalValue::Scalar(
Decimal::try_from(z).unwrap_or(Decimal::ZERO),
))
}
fn reset(&mut self) {
self.window.clear();
self.sum = Decimal::ZERO;
self.sum_sq = Decimal::ZERO;
self.prev_close = None;
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::ohlcv::OhlcvBar;
use crate::signals::Signal;
use crate::types::{NanoTimestamp, Price, Quantity, Symbol};
use rust_decimal_macros::dec;
fn bar(h: &str, l: &str, c: &str) -> OhlcvBar {
let hp = Price::new(h.parse().unwrap()).unwrap();
let lp = Price::new(l.parse().unwrap()).unwrap();
let cp = Price::new(c.parse().unwrap()).unwrap();
OhlcvBar {
symbol: Symbol::new("X").unwrap(),
open: lp, high: hp, low: lp, close: cp,
volume: Quantity::zero(),
ts_open: NanoTimestamp::new(0),
ts_close: NanoTimestamp::new(1),
tick_count: 1,
}
}
#[test]
fn test_trz_invalid_period() {
assert!(TrueRangeZScore::new("trz", 0).is_err());
assert!(TrueRangeZScore::new("trz", 1).is_err());
}
#[test]
fn test_trz_unavailable_during_warmup() {
let mut s = TrueRangeZScore::new("trz", 3).unwrap();
assert_eq!(s.update_bar(&bar("105","95","100")).unwrap(), SignalValue::Unavailable);
assert_eq!(s.update_bar(&bar("106","94","100")).unwrap(), SignalValue::Unavailable);
assert!(!s.is_ready());
}
#[test]
fn test_trz_large_bar_gives_positive_z() {
let mut s = TrueRangeZScore::new("trz", 3).unwrap();
s.update_bar(&bar("105","95","100")).unwrap(); s.update_bar(&bar("106","96","101")).unwrap(); s.update_bar(&bar("107","97","102")).unwrap(); let mut s2 = TrueRangeZScore::new("trz", 3).unwrap();
s2.update_bar(&bar("105","95","100")).unwrap(); s2.update_bar(&bar("108","94","101")).unwrap(); s2.update_bar(&bar("106","98","102")).unwrap(); if let SignalValue::Scalar(z) = s2.update_bar(&bar("130","80","100")).unwrap() {
assert!(z > dec!(0), "large spike bar gives positive z: {z}");
} else {
panic!("expected Scalar");
}
}
#[test]
fn test_trz_small_bar_gives_negative_z() {
let mut s = TrueRangeZScore::new("trz", 3).unwrap();
s.update_bar(&bar("110","90","100")).unwrap(); s.update_bar(&bar("115","85","100")).unwrap(); if let SignalValue::Scalar(z) = s.update_bar(&bar("102","98","100")).unwrap() {
assert!(z < dec!(0), "tiny bar gives negative z: {z}");
} else {
panic!("expected Scalar");
}
}
#[test]
fn test_trz_reset() {
let mut s = TrueRangeZScore::new("trz", 3).unwrap();
for (h, l, c) in &[("110","90","100"),("115","85","105"),("112","92","108")] {
s.update_bar(&bar(h, l, c)).unwrap();
}
assert!(s.is_ready());
s.reset();
assert!(!s.is_ready());
}
}