use crate::bar_indicators::statistics::cointegration_proxy::CointegrationProxy;
use crate::bar_indicators::indicator_value::IndicatorValue;
#[derive(Clone)]
pub struct EngleGrangerProxy {
inner: CointegrationProxy,
pub t_stat: f64,
pub p_proxy: f64,
}
impl EngleGrangerProxy {
pub fn new(window: usize) -> Self {
Self {
inner: CointegrationProxy::new(window),
t_stat: 0.0,
p_proxy: 1.0,
}
}
#[inline]
pub fn reset(&mut self) {
self.inner.reset();
self.t_stat = 0.0;
self.p_proxy = 1.0;
}
#[inline]
pub fn is_ready(&self) -> bool {
self.inner.is_ready()
}
pub fn value(&self) -> IndicatorValue {
IndicatorValue::Single(self.p_proxy)
}
pub fn update_bar(&mut self, open: f64, high: f64, low: f64, close: f64, volume: f64) -> f64 {
let (_phi, t) = self.inner.update_bar(open, high, low, close, volume);
self.t_stat = t;
self.p_proxy = 1.0 - Self::normal_cdf(t);
self.p_proxy
}
#[inline]
fn normal_cdf(x: f64) -> f64 {
0.5 * (1.0 + Self::erf(x / std::f64::consts::SQRT_2))
}
#[inline]
fn erf(x: f64) -> f64 {
let a1 = 0.254829592;
let a2 = -0.284496736;
let a3 = 1.421413741;
let a4 = -1.453152027;
let a5 = 1.061405429;
let p = 0.3275911;
let sign = if x < 0.0 { -1.0 } else { 1.0 };
let x = x.abs();
let t = 1.0 / (1.0 + p * x);
let y = 1.0 - (((((a5 * t + a4) * t) + a3) * t + a2) * t + a1) * t * (-x * x).exp();
sign * y
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_engle_granger_proxy_creation() {
let egp = EngleGrangerProxy::new(50);
assert!(!egp.is_ready());
assert_eq!(egp.t_stat, 0.0);
assert_eq!(egp.p_proxy, 1.0);
}
#[test]
fn test_engle_granger_proxy_warmup() {
let mut egp = EngleGrangerProxy::new(50);
for i in 0..60 {
let price = 100.0 + (i as f64 * 0.1).sin() * 5.0;
egp.update_bar(price, price + 1.0, price - 1.0, price, 1000.0);
}
assert!(egp.is_ready());
}
#[test]
fn test_engle_granger_proxy_range() {
let mut egp = EngleGrangerProxy::new(50);
for i in 0..60 {
let price = 100.0 + (i as f64 * 0.2).sin() * 10.0;
let value = egp.update_bar(price, price + 1.0, price - 1.0, price, 1000.0);
assert!(value >= 0.0 && value <= 1.0, "P-proxy should be in [0, 1]");
}
}
#[test]
fn test_engle_granger_proxy_reset() {
let mut egp = EngleGrangerProxy::new(50);
for i in 0..60 {
egp.update_bar(100.0 + i as f64, 101.0, 99.0, 100.0 + i as f64, 1000.0);
}
egp.reset();
assert!(!egp.is_ready());
assert_eq!(egp.t_stat, 0.0);
assert_eq!(egp.p_proxy, 1.0);
}
}