use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct StdDev {
name: String,
period: usize,
history: VecDeque<Decimal>,
}
impl StdDev {
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,
history: VecDeque::with_capacity(period),
})
}
}
fn decimal_sqrt(n: Decimal) -> Decimal {
if n.is_zero() {
return Decimal::ZERO;
}
let mut x = n;
for _ in 0..20 {
let next = (x + n / x) / Decimal::TWO;
let diff = if next > x { next - x } else { x - next };
x = next;
if diff < Decimal::new(1, 10) {
break;
}
}
x
}
impl Signal for StdDev {
fn name(&self) -> &str {
&self.name
}
fn update(&mut self, bar: &BarInput) -> Result<SignalValue, FinError> {
self.history.push_back(bar.close);
if self.history.len() > self.period {
self.history.pop_front();
}
if self.history.len() < self.period {
return Ok(SignalValue::Unavailable);
}
let n_dec = Decimal::from(self.period as u64);
let mean: Decimal = self.history.iter().copied().sum::<Decimal>() / n_dec;
let variance: Decimal = self
.history
.iter()
.map(|v| { let d = *v - mean; d * d })
.sum::<Decimal>()
/ n_dec;
Ok(SignalValue::Scalar(decimal_sqrt(variance)))
}
fn is_ready(&self) -> bool {
self.history.len() >= self.period
}
fn period(&self) -> usize {
self.period
}
fn reset(&mut self) {
self.history.clear();
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::ohlcv::OhlcvBar;
use crate::types::{NanoTimestamp, Price, Quantity, Symbol};
use rust_decimal_macros::dec;
fn bar(close: &str) -> OhlcvBar {
let p = Price::new(close.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_stddev_period_0_error() {
assert!(StdDev::new("sd", 0).is_err());
}
#[test]
fn test_stddev_unavailable_before_period() {
let mut sd = StdDev::new("sd3", 3).unwrap();
assert_eq!(sd.update_bar(&bar("100")).unwrap(), SignalValue::Unavailable);
assert_eq!(sd.update_bar(&bar("110")).unwrap(), SignalValue::Unavailable);
assert!(sd.update_bar(&bar("120")).unwrap().is_scalar());
}
#[test]
fn test_stddev_constant_prices_is_zero() {
let mut sd = StdDev::new("sd3", 3).unwrap();
sd.update_bar(&bar("100")).unwrap();
sd.update_bar(&bar("100")).unwrap();
let v = sd.update_bar(&bar("100")).unwrap();
assert_eq!(v, SignalValue::Scalar(dec!(0)));
}
#[test]
fn test_stddev_reset_clears_state() {
let mut sd = StdDev::new("sd2", 2).unwrap();
sd.update_bar(&bar("100")).unwrap();
sd.update_bar(&bar("110")).unwrap();
assert!(sd.is_ready());
sd.reset();
assert!(!sd.is_ready());
assert_eq!(sd.update_bar(&bar("100")).unwrap(), SignalValue::Unavailable);
}
#[test]
fn test_stddev_positive_for_varying_prices() {
let mut sd = StdDev::new("sd3", 3).unwrap();
sd.update_bar(&bar("90")).unwrap();
sd.update_bar(&bar("100")).unwrap();
let v = sd.update_bar(&bar("110")).unwrap();
match v {
SignalValue::Scalar(d) => assert!(d > dec!(0), "stddev should be positive"),
_ => panic!("expected Scalar"),
}
}
}