use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct LinearDeviation {
name: String,
period: usize,
history: VecDeque<Decimal>,
}
impl LinearDeviation {
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,
history: VecDeque::with_capacity(period),
})
}
}
impl Signal for LinearDeviation {
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 = self.period as i64;
let sum_x = Decimal::from(n * (n - 1) / 2);
let sum_x2 = Decimal::from(n * (n - 1) * (2 * n - 1) / 6);
let sum_y: Decimal = self.history.iter().sum();
let sum_xy: Decimal = self.history.iter().enumerate()
.map(|(i, &y)| Decimal::from(i as i64) * y)
.sum();
let n_dec = Decimal::from(n);
let denom = n_dec * sum_x2 - sum_x * sum_x;
if denom.is_zero() {
return Ok(SignalValue::Unavailable);
}
let slope = (n_dec * sum_xy - sum_x * sum_y)
.checked_div(denom)
.ok_or(FinError::ArithmeticOverflow)?;
let intercept = (sum_y - slope * sum_x)
.checked_div(n_dec)
.ok_or(FinError::ArithmeticOverflow)?;
let x_last = Decimal::from(n - 1);
let linreg_val = slope * x_last + intercept;
let close = bar.close;
if close.is_zero() {
return Ok(SignalValue::Unavailable);
}
let dev = (close - linreg_val)
.checked_div(close)
.ok_or(FinError::ArithmeticOverflow)?
* Decimal::from(100u32);
Ok(SignalValue::Scalar(dev))
}
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(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_ld_invalid_period() {
assert!(LinearDeviation::new("l", 0).is_err());
assert!(LinearDeviation::new("l", 1).is_err());
}
#[test]
fn test_ld_unavailable_early() {
let mut ld = LinearDeviation::new("l", 3).unwrap();
assert_eq!(ld.update_bar(&bar("100")).unwrap(), SignalValue::Unavailable);
assert_eq!(ld.update_bar(&bar("101")).unwrap(), SignalValue::Unavailable);
}
#[test]
fn test_ld_perfectly_on_line_is_zero() {
let mut ld = LinearDeviation::new("l", 3).unwrap();
ld.update_bar(&bar("100")).unwrap();
ld.update_bar(&bar("101")).unwrap();
if let SignalValue::Scalar(v) = ld.update_bar(&bar("102")).unwrap() {
assert!(v.abs() < dec!(0.001), "on-line deviation should be ~0: {v}");
} else { panic!("expected Scalar"); }
}
#[test]
fn test_ld_above_line_positive() {
let mut ld = LinearDeviation::new("l", 3).unwrap();
ld.update_bar(&bar("100")).unwrap();
ld.update_bar(&bar("100")).unwrap();
if let SignalValue::Scalar(v) = ld.update_bar(&bar("110")).unwrap() {
assert!(v > dec!(0), "above line → positive deviation: {v}");
} else { panic!("expected Scalar"); }
}
#[test]
fn test_ld_below_line_negative() {
let mut ld = LinearDeviation::new("l", 3).unwrap();
ld.update_bar(&bar("100")).unwrap();
ld.update_bar(&bar("100")).unwrap();
if let SignalValue::Scalar(v) = ld.update_bar(&bar("90")).unwrap() {
assert!(v < dec!(0), "below line → negative deviation: {v}");
} else { panic!("expected Scalar"); }
}
#[test]
fn test_ld_reset() {
let mut ld = LinearDeviation::new("l", 3).unwrap();
for p in &["100", "101", "102"] { ld.update_bar(&bar(p)).unwrap(); }
assert!(ld.is_ready());
ld.reset();
assert!(!ld.is_ready());
}
}