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//! Rolling Omega Ratio — gain-to-loss ratio above a threshold.
use std::collections::VecDeque;
use crate::error::{Error, Result};
use crate::traits::Indicator;
/// Rolling Omega Ratio.
///
/// Over the trailing window of `period` returns and a target `threshold`:
///
/// ```text
/// gains = Σ max(0, r − threshold)
/// losses = Σ max(0, threshold − r)
/// Omega = gains / losses
/// ```
///
/// Omega expresses how many units of "above-threshold" return the strategy
/// produces per unit of "below-threshold" shortfall. By construction `Omega
/// ≥ 0`; a window where every return clears the threshold has zero losses and
/// the indicator returns `f64::INFINITY` (in keeping with the standard
/// definition). The Sharpe Ratio collapses risk into a single second-moment
/// number; Omega keeps the full shape of the loss tail.
///
/// Each `update` is O(period) because the partial sums are recomputed across
/// the window — adequate for typical backtest windows (`period ≤ 252`).
///
/// # Example
///
/// ```
/// use wickra_core::{Indicator, OmegaRatio};
///
/// let mut o = OmegaRatio::new(20, 0.0).unwrap();
/// let mut last = None;
/// for i in 0..40 {
/// last = o.update((f64::from(i) * 0.2).sin() * 0.01);
/// }
/// assert!(last.is_some());
/// ```
#[derive(Debug, Clone)]
pub struct OmegaRatio {
period: usize,
threshold: f64,
window: VecDeque<f64>,
}
impl OmegaRatio {
/// Construct a new rolling Omega Ratio.
///
/// # Errors
/// Returns [`Error::PeriodZero`] if `period == 0`.
pub fn new(period: usize, threshold: f64) -> Result<Self> {
if period == 0 {
return Err(Error::PeriodZero);
}
Ok(Self {
period,
threshold,
window: VecDeque::with_capacity(period),
})
}
/// Configured window length.
pub const fn period(&self) -> usize {
self.period
}
/// Configured threshold (per-period).
pub const fn threshold(&self) -> f64 {
self.threshold
}
}
impl Indicator for OmegaRatio {
type Input = f64;
type Output = f64;
fn update(&mut self, input: f64) -> Option<f64> {
if !input.is_finite() {
return None;
}
if self.window.len() == self.period {
self.window.pop_front();
}
self.window.push_back(input);
if self.window.len() < self.period {
return None;
}
let mut gains = 0.0_f64;
let mut losses = 0.0_f64;
for &r in &self.window {
let d = r - self.threshold;
if d >= 0.0 {
gains += d;
} else {
losses += -d;
}
}
if losses == 0.0 {
return Some(if gains == 0.0 { 0.0 } else { f64::INFINITY });
}
Some(gains / losses)
}
fn reset(&mut self) {
self.window.clear();
}
fn warmup_period(&self) -> usize {
self.period
}
fn is_ready(&self) -> bool {
self.window.len() == self.period
}
fn name(&self) -> &'static str {
"OmegaRatio"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
#[test]
fn rejects_zero_period() {
assert!(matches!(OmegaRatio::new(0, 0.0), Err(Error::PeriodZero)));
}
#[test]
fn accessors_and_metadata() {
let o = OmegaRatio::new(10, 0.001).unwrap();
assert_eq!(o.period(), 10);
assert_relative_eq!(o.threshold(), 0.001, epsilon = 1e-12);
assert_eq!(o.name(), "OmegaRatio");
assert_eq!(o.warmup_period(), 10);
}
#[test]
fn all_above_threshold_yields_infinity() {
let mut o = OmegaRatio::new(4, 0.0).unwrap();
let out = o.batch(&[0.01, 0.02, 0.03, 0.04]);
assert!(out[3].unwrap().is_infinite());
}
#[test]
fn flat_at_threshold_yields_zero() {
// Every return equals threshold -> gains = losses = 0 -> 0 by
// convention.
let mut o = OmegaRatio::new(4, 0.01).unwrap();
let out = o.batch(&[0.01; 4]);
assert_eq!(out[3], Some(0.0));
}
#[test]
fn reference_value() {
// returns = [-0.02, 0.01, -0.01, 0.03], threshold = 0.
// gains = 0.01 + 0.03 = 0.04
// losses = 0.02 + 0.01 = 0.03
// Omega = 0.04 / 0.03 ≈ 1.3333...
let mut o = OmegaRatio::new(4, 0.0).unwrap();
let out = o.batch(&[-0.02, 0.01, -0.01, 0.03]);
assert_relative_eq!(out[3].unwrap(), 0.04 / 0.03, epsilon = 1e-9);
}
#[test]
fn ignores_non_finite_input() {
let mut o = OmegaRatio::new(3, 0.0).unwrap();
assert_eq!(o.update(f64::NAN), None);
assert_eq!(o.update(f64::INFINITY), None);
}
#[test]
fn reset_clears_state() {
let mut o = OmegaRatio::new(3, 0.0).unwrap();
o.batch(&[0.01, -0.02, 0.005]);
assert!(o.is_ready());
o.reset();
assert!(!o.is_ready());
assert_eq!(o.update(0.01), None);
}
#[test]
fn batch_equals_streaming() {
let returns: Vec<f64> = (0..50).map(|i| (f64::from(i) * 0.4).sin() * 0.01).collect();
let batch = OmegaRatio::new(10, 0.0).unwrap().batch(&returns);
let mut s = OmegaRatio::new(10, 0.0).unwrap();
let streamed: Vec<_> = returns.iter().map(|r| s.update(*r)).collect();
assert_eq!(batch, streamed);
}
}