use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct Zscore {
name: String,
period: usize,
window: VecDeque<Decimal>,
}
impl Zscore {
pub fn new(name: impl Into<String>, period: usize) -> Result<Self, FinError> {
if period == 0 {
return Err(FinError::InvalidPeriod(period));
}
Ok(Self {
name: name.into(),
period,
window: VecDeque::with_capacity(period),
})
}
}
impl Signal for Zscore {
fn name(&self) -> &str {
&self.name
}
fn update(&mut self, bar: &BarInput) -> Result<SignalValue, FinError> {
self.window.push_back(bar.close);
if self.window.len() > self.period {
self.window.pop_front();
}
if self.window.len() < self.period {
return Ok(SignalValue::Unavailable);
}
#[allow(clippy::cast_possible_truncation)]
let n = Decimal::from(self.period as u32);
let sum: Decimal = self.window.iter().copied().sum();
let mean = sum / n;
let variance: Decimal = self.window
.iter()
.map(|&x| {
let diff = x - mean;
diff * diff
})
.sum::<Decimal>()
/ n;
use rust_decimal::prelude::ToPrimitive;
let variance_f = variance.to_f64().unwrap_or(0.0);
if variance_f <= 0.0 {
return Ok(SignalValue::Unavailable);
}
let std_dev = Decimal::try_from(variance_f.sqrt()).unwrap_or(Decimal::ONE);
if std_dev.is_zero() {
return Ok(SignalValue::Unavailable);
}
let z = (bar.close - mean)
.checked_div(std_dev)
.ok_or(FinError::ArithmeticOverflow)?;
Ok(SignalValue::Scalar(z))
}
fn is_ready(&self) -> bool {
self.window.len() >= self.period
}
fn period(&self) -> usize {
self.period
}
fn reset(&mut self) {
self.window.clear();
}
}
#[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(c: &str) -> OhlcvBar {
let p = Price::new(c.parse().unwrap()).unwrap();
OhlcvBar {
symbol: Symbol::new("X").unwrap(),
open: p, high: p, low: p, close: p,
volume: Quantity::zero(),
ts_open: NanoTimestamp::new(0),
ts_close: NanoTimestamp::new(1),
tick_count: 1,
}
}
#[test]
fn test_zscore_zero_period_fails() {
assert!(Zscore::new("z", 0).is_err());
}
#[test]
fn test_zscore_unavailable_before_warmup() {
let mut z = Zscore::new("z3", 3).unwrap();
assert_eq!(z.update_bar(&bar("100")).unwrap(), SignalValue::Unavailable);
assert_eq!(z.update_bar(&bar("101")).unwrap(), SignalValue::Unavailable);
assert!(!z.is_ready());
}
#[test]
fn test_zscore_constant_prices_unavailable() {
let mut z = Zscore::new("z3", 3).unwrap();
for _ in 0..5 {
z.update_bar(&bar("100")).unwrap();
}
assert!(z.is_ready()); let v = z.update_bar(&bar("100")).unwrap();
assert_eq!(v, SignalValue::Unavailable);
}
#[test]
fn test_zscore_high_value_is_positive() {
let mut z = Zscore::new("z3", 3).unwrap();
z.update_bar(&bar("100")).unwrap();
z.update_bar(&bar("100")).unwrap();
let v = z.update_bar(&bar("110")).unwrap();
if let SignalValue::Scalar(val) = v {
assert!(val > dec!(0), "high close should give positive z-score: {val}");
} else {
panic!("expected Scalar");
}
}
#[test]
fn test_zscore_low_value_is_negative() {
let mut z = Zscore::new("z3", 3).unwrap();
z.update_bar(&bar("110")).unwrap();
z.update_bar(&bar("110")).unwrap();
let v = z.update_bar(&bar("100")).unwrap();
if let SignalValue::Scalar(val) = v {
assert!(val < dec!(0), "low close should give negative z-score: {val}");
} else {
panic!("expected Scalar");
}
}
#[test]
fn test_zscore_reset_clears_state() {
let mut z = Zscore::new("z3", 3).unwrap();
for p in &["100", "110", "120"] {
z.update_bar(&bar(p)).unwrap();
}
assert!(z.is_ready());
z.reset();
assert!(!z.is_ready());
assert_eq!(z.update_bar(&bar("100")).unwrap(), SignalValue::Unavailable);
}
}