use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct YangZhangVolatility {
name: String,
period: usize,
prev_close: Option<f64>,
overnight: VecDeque<f64>,
open_close: VecDeque<f64>,
rs: VecDeque<f64>,
}
impl YangZhangVolatility {
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,
prev_close: None,
overnight: VecDeque::with_capacity(period),
open_close: VecDeque::with_capacity(period),
rs: VecDeque::with_capacity(period),
})
}
fn variance(data: &VecDeque<f64>) -> f64 {
let n = data.len() as f64;
if n < 2.0 {
return 0.0;
}
let mean = data.iter().sum::<f64>() / n;
data.iter().map(|x| (x - mean).powi(2)).sum::<f64>() / (n - 1.0)
}
}
impl Signal for YangZhangVolatility {
fn name(&self) -> &str {
&self.name
}
fn update(&mut self, bar: &BarInput) -> Result<SignalValue, FinError> {
use rust_decimal::prelude::ToPrimitive;
let h = bar.high.to_f64().unwrap_or(0.0);
let l = bar.low.to_f64().unwrap_or(0.0);
let c = bar.close.to_f64().unwrap_or(0.0);
let o = bar.open.to_f64().unwrap_or(0.0);
if h <= 0.0 || l <= 0.0 || c <= 0.0 || o <= 0.0 {
return Ok(SignalValue::Unavailable);
}
let Some(pc) = self.prev_close else {
self.prev_close = Some(c);
return Ok(SignalValue::Unavailable);
};
if pc > 0.0 {
self.overnight.push_back((o / pc).ln());
if self.overnight.len() > self.period {
self.overnight.pop_front();
}
}
if o > 0.0 {
self.open_close.push_back((c / o).ln());
if self.open_close.len() > self.period {
self.open_close.pop_front();
}
}
let rs_val = (h / c).ln() * (h / o).ln() + (l / c).ln() * (l / o).ln();
self.rs.push_back(rs_val.max(0.0));
if self.rs.len() > self.period {
self.rs.pop_front();
}
self.prev_close = Some(c);
if self.overnight.len() < self.period
|| self.open_close.len() < self.period
|| self.rs.len() < self.period
{
return Ok(SignalValue::Unavailable);
}
let n = self.period as f64;
let k = 0.34 / (1.34 + (n + 1.0) / (n - 1.0));
let var_o = Self::variance(&self.overnight);
let var_c = Self::variance(&self.open_close);
let var_rs = self.rs.iter().sum::<f64>() / n;
let var_yz = (var_o + k * var_c + (1.0 - k) * var_rs).max(0.0);
let sigma = var_yz.sqrt();
Decimal::try_from(sigma)
.map(SignalValue::Scalar)
.map_err(|_| FinError::ArithmeticOverflow)
}
fn is_ready(&self) -> bool {
self.overnight.len() >= self.period
&& self.open_close.len() >= self.period
&& self.rs.len() >= self.period
}
fn period(&self) -> usize {
self.period
}
fn reset(&mut self) {
self.prev_close = None;
self.overnight.clear();
self.open_close.clear();
self.rs.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(o: &str, h: &str, l: &str, c: &str) -> OhlcvBar {
OhlcvBar {
symbol: Symbol::new("X").unwrap(),
open: Price::new(o.parse().unwrap()).unwrap(),
high: Price::new(h.parse().unwrap()).unwrap(),
low: Price::new(l.parse().unwrap()).unwrap(),
close: Price::new(c.parse().unwrap()).unwrap(),
volume: Quantity::zero(),
ts_open: NanoTimestamp::new(0),
ts_close: NanoTimestamp::new(1),
tick_count: 1,
}
}
#[test]
fn test_period_too_small_fails() {
assert!(matches!(
YangZhangVolatility::new("yz", 1),
Err(FinError::InvalidPeriod(1))
));
assert!(matches!(
YangZhangVolatility::new("yz", 0),
Err(FinError::InvalidPeriod(0))
));
}
#[test]
fn test_unavailable_before_period() {
let mut yz = YangZhangVolatility::new("yz", 3).unwrap();
for _ in 0..3 {
let v = yz.update_bar(&bar("10", "12", "9", "11")).unwrap();
assert_eq!(v, SignalValue::Unavailable);
}
}
#[test]
fn test_ready_after_period_plus_one() {
let mut yz = YangZhangVolatility::new("yz", 3).unwrap();
for _ in 0..4 {
yz.update_bar(&bar("10", "12", "9", "11")).unwrap();
}
assert!(yz.is_ready());
}
#[test]
fn test_sigma_non_negative() {
let mut yz = YangZhangVolatility::new("yz", 3).unwrap();
for _ in 0..5 {
yz.update_bar(&bar("10", "12", "9", "11")).unwrap();
}
let v = yz.update_bar(&bar("10", "12", "9", "11")).unwrap();
if let SignalValue::Scalar(s) = v {
assert!(s >= dec!(0));
} else {
panic!("expected scalar");
}
}
#[test]
fn test_reset_clears_state() {
let mut yz = YangZhangVolatility::new("yz", 3).unwrap();
for _ in 0..5 {
yz.update_bar(&bar("10", "12", "9", "11")).unwrap();
}
assert!(yz.is_ready());
yz.reset();
assert!(!yz.is_ready());
assert!(yz.prev_close.is_none());
}
#[test]
fn test_wider_range_larger_vol() {
let mut narrow = YangZhangVolatility::new("yz", 3).unwrap();
let mut wide = YangZhangVolatility::new("yz", 3).unwrap();
for _ in 0..5 {
narrow.update_bar(&bar("100", "102", "98", "101")).unwrap();
wide.update_bar(&bar("100", "120", "80", "101")).unwrap();
}
let nv = match narrow.update_bar(&bar("100", "102", "98", "101")).unwrap() {
SignalValue::Scalar(v) => v,
_ => panic!("expected scalar"),
};
let wv = match wide.update_bar(&bar("100", "120", "80", "101")).unwrap() {
SignalValue::Scalar(v) => v,
_ => panic!("expected scalar"),
};
assert!(wv > nv);
}
}