2026-05-22 17:53:46 +02:00
|
|
|
|
//! Chande Momentum Oscillator.
|
|
|
|
|
|
|
|
|
|
|
|
use std::collections::VecDeque;
|
|
|
|
|
|
|
|
|
|
|
|
use crate::error::{Error, Result};
|
|
|
|
|
|
use crate::traits::Indicator;
|
|
|
|
|
|
|
|
|
|
|
|
/// Chande Momentum Oscillator — Tushar Chande's bounded momentum gauge.
|
|
|
|
|
|
///
|
|
|
|
|
|
/// Over the last `period` price *changes* it sums the gains and the losses
|
|
|
|
|
|
/// separately and reports:
|
|
|
|
|
|
///
|
|
|
|
|
|
/// ```text
|
|
|
|
|
|
/// CMO = 100 · (Σ gains − Σ losses) / (Σ gains + Σ losses)
|
|
|
|
|
|
/// ```
|
|
|
|
|
|
///
|
|
|
|
|
|
/// The result is bounded in `[−100, 100]`: `+100` is a window of pure gains,
|
|
|
|
|
|
/// `−100` a window of pure losses, `0` a perfect balance. Unlike RSI the sums
|
|
|
|
|
|
/// are *unsmoothed* — every change in the window carries equal weight — so CMO
|
|
|
|
|
|
/// reacts faster and swings wider.
|
|
|
|
|
|
///
|
|
|
|
|
|
/// # Example
|
|
|
|
|
|
///
|
|
|
|
|
|
/// ```
|
|
|
|
|
|
/// use wickra_core::{Indicator, Cmo};
|
|
|
|
|
|
///
|
|
|
|
|
|
/// let mut indicator = Cmo::new(14).unwrap();
|
|
|
|
|
|
/// let mut last = None;
|
|
|
|
|
|
/// for i in 0..80 {
|
|
|
|
|
|
/// last = indicator.update(100.0 + f64::from(i));
|
|
|
|
|
|
/// }
|
|
|
|
|
|
/// assert_eq!(last, Some(100.0)); // pure uptrend saturates at +100
|
|
|
|
|
|
/// ```
|
|
|
|
|
|
#[derive(Debug, Clone)]
|
|
|
|
|
|
pub struct Cmo {
|
|
|
|
|
|
period: usize,
|
|
|
|
|
|
prev_price: Option<f64>,
|
|
|
|
|
|
/// Rolling window of `(gain, loss)` pairs, oldest at the front.
|
|
|
|
|
|
window: VecDeque<(f64, f64)>,
|
|
|
|
|
|
sum_gain: f64,
|
|
|
|
|
|
sum_loss: f64,
|
|
|
|
|
|
current: Option<f64>,
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
impl Cmo {
|
|
|
|
|
|
/// Construct a new CMO with the given period.
|
|
|
|
|
|
///
|
|
|
|
|
|
/// # Errors
|
|
|
|
|
|
///
|
|
|
|
|
|
/// Returns [`Error::PeriodZero`] if `period == 0`.
|
|
|
|
|
|
pub fn new(period: usize) -> Result<Self> {
|
|
|
|
|
|
if period == 0 {
|
|
|
|
|
|
return Err(Error::PeriodZero);
|
|
|
|
|
|
}
|
|
|
|
|
|
Ok(Self {
|
|
|
|
|
|
period,
|
|
|
|
|
|
prev_price: None,
|
|
|
|
|
|
window: VecDeque::with_capacity(period),
|
|
|
|
|
|
sum_gain: 0.0,
|
|
|
|
|
|
sum_loss: 0.0,
|
|
|
|
|
|
current: None,
|
|
|
|
|
|
})
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/// Configured period.
|
|
|
|
|
|
pub const fn period(&self) -> usize {
|
|
|
|
|
|
self.period
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/// Current value if available.
|
|
|
|
|
|
pub const fn value(&self) -> Option<f64> {
|
|
|
|
|
|
self.current
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
impl Indicator for Cmo {
|
|
|
|
|
|
type Input = f64;
|
|
|
|
|
|
type Output = f64;
|
|
|
|
|
|
|
|
|
|
|
|
fn update(&mut self, input: f64) -> Option<f64> {
|
|
|
|
|
|
if !input.is_finite() {
|
|
|
|
|
|
// Non-finite input is ignored; state is left untouched.
|
|
|
|
|
|
return self.current;
|
|
|
|
|
|
}
|
|
|
|
|
|
let Some(prev) = self.prev_price else {
|
|
|
|
|
|
self.prev_price = Some(input);
|
|
|
|
|
|
return None;
|
|
|
|
|
|
};
|
|
|
|
|
|
self.prev_price = Some(input);
|
|
|
|
|
|
|
|
|
|
|
|
let change = input - prev;
|
|
|
|
|
|
let gain = change.max(0.0);
|
|
|
|
|
|
let loss = (-change).max(0.0);
|
|
|
|
|
|
|
|
|
|
|
|
if self.window.len() == self.period {
|
|
|
|
|
|
let (old_gain, old_loss) = self.window.pop_front().expect("window is non-empty");
|
|
|
|
|
|
self.sum_gain -= old_gain;
|
|
|
|
|
|
self.sum_loss -= old_loss;
|
|
|
|
|
|
}
|
|
|
|
|
|
self.window.push_back((gain, loss));
|
|
|
|
|
|
self.sum_gain += gain;
|
|
|
|
|
|
self.sum_loss += loss;
|
|
|
|
|
|
|
|
|
|
|
|
if self.window.len() < self.period {
|
|
|
|
|
|
return None;
|
|
|
|
|
|
}
|
|
|
|
|
|
let denom = self.sum_gain + self.sum_loss;
|
|
|
|
|
|
let cmo = if denom == 0.0 {
|
|
|
|
|
|
// A flat window (no gains and no losses): momentum is exactly zero.
|
|
|
|
|
|
0.0
|
|
|
|
|
|
} else {
|
|
|
|
|
|
100.0 * (self.sum_gain - self.sum_loss) / denom
|
|
|
|
|
|
};
|
|
|
|
|
|
self.current = Some(cmo);
|
|
|
|
|
|
Some(cmo)
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
fn reset(&mut self) {
|
|
|
|
|
|
self.prev_price = None;
|
|
|
|
|
|
self.window.clear();
|
|
|
|
|
|
self.sum_gain = 0.0;
|
|
|
|
|
|
self.sum_loss = 0.0;
|
|
|
|
|
|
self.current = None;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
fn warmup_period(&self) -> usize {
|
|
|
|
|
|
self.period + 1
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
fn is_ready(&self) -> bool {
|
|
|
|
|
|
self.current.is_some()
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
fn name(&self) -> &'static str {
|
|
|
|
|
|
"CMO"
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[cfg(test)]
|
|
|
|
|
|
mod tests {
|
|
|
|
|
|
use super::*;
|
|
|
|
|
|
use crate::traits::BatchExt;
|
|
|
|
|
|
use approx::assert_relative_eq;
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn new_rejects_zero_period() {
|
|
|
|
|
|
assert!(matches!(Cmo::new(0), Err(Error::PeriodZero)));
|
|
|
|
|
|
}
|
|
|
|
|
|
|
2026-05-24 00:47:01 +02:00
|
|
|
|
/// Cover the const accessors `period` / `value` (66-73) and the
|
|
|
|
|
|
/// Indicator-impl `name` body (134-136). Existing tests inspect
|
|
|
|
|
|
/// CMO output but never query the metadata.
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn accessors_and_metadata() {
|
|
|
|
|
|
let mut cmo = Cmo::new(14).unwrap();
|
|
|
|
|
|
assert_eq!(cmo.period(), 14);
|
|
|
|
|
|
assert_eq!(cmo.name(), "CMO");
|
|
|
|
|
|
assert_eq!(cmo.value(), None);
|
|
|
|
|
|
for i in 1..=15 {
|
|
|
|
|
|
cmo.update(f64::from(i));
|
|
|
|
|
|
}
|
|
|
|
|
|
assert!(cmo.value().is_some());
|
|
|
|
|
|
}
|
|
|
|
|
|
|
2026-05-22 17:53:46 +02:00
|
|
|
|
#[test]
|
|
|
|
|
|
fn reference_value() {
|
|
|
|
|
|
// CMO(3) over [10, 11, 10, 12]: changes +1, −1, +2.
|
|
|
|
|
|
// Σgain = 3, Σloss = 1 -> 100·(3−1)/(3+1) = 50.
|
|
|
|
|
|
let mut cmo = Cmo::new(3).unwrap();
|
|
|
|
|
|
let out = cmo.batch(&[10.0, 11.0, 10.0, 12.0]);
|
|
|
|
|
|
assert_eq!(cmo.warmup_period(), 4);
|
|
|
|
|
|
assert_eq!(out[0], None);
|
|
|
|
|
|
assert_eq!(out[2], None);
|
|
|
|
|
|
assert_relative_eq!(out[3].unwrap(), 50.0, epsilon = 1e-12);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn pure_uptrend_saturates_at_plus_100() {
|
|
|
|
|
|
let mut cmo = Cmo::new(5).unwrap();
|
|
|
|
|
|
let out = cmo.batch(&(1..=20).map(f64::from).collect::<Vec<_>>());
|
|
|
|
|
|
for v in out.iter().skip(6).flatten() {
|
|
|
|
|
|
assert_relative_eq!(*v, 100.0, epsilon = 1e-12);
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn pure_downtrend_saturates_at_minus_100() {
|
|
|
|
|
|
let mut cmo = Cmo::new(5).unwrap();
|
|
|
|
|
|
let out = cmo.batch(&(1..=20).rev().map(f64::from).collect::<Vec<_>>());
|
|
|
|
|
|
for v in out.iter().skip(6).flatten() {
|
|
|
|
|
|
assert_relative_eq!(*v, -100.0, epsilon = 1e-12);
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn constant_series_yields_zero() {
|
|
|
|
|
|
let mut cmo = Cmo::new(5).unwrap();
|
|
|
|
|
|
let out = cmo.batch(&[42.0; 20]);
|
|
|
|
|
|
for v in out.iter().skip(6).flatten() {
|
|
|
|
|
|
assert_relative_eq!(*v, 0.0, epsilon = 1e-12);
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn ignores_non_finite_input() {
|
|
|
|
|
|
let mut cmo = Cmo::new(3).unwrap();
|
|
|
|
|
|
let out = cmo.batch(&[10.0, 11.0, 10.0, 12.0]);
|
|
|
|
|
|
let ready = out[3].expect("CMO(3) ready after four inputs");
|
|
|
|
|
|
assert_eq!(cmo.update(f64::NAN), Some(ready));
|
|
|
|
|
|
assert_eq!(cmo.update(f64::INFINITY), Some(ready));
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn reset_clears_state() {
|
|
|
|
|
|
let mut cmo = Cmo::new(3).unwrap();
|
|
|
|
|
|
cmo.batch(&[10.0, 11.0, 12.0, 13.0, 14.0]);
|
|
|
|
|
|
assert!(cmo.is_ready());
|
|
|
|
|
|
cmo.reset();
|
|
|
|
|
|
assert!(!cmo.is_ready());
|
|
|
|
|
|
assert_eq!(cmo.update(10.0), None);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#[test]
|
|
|
|
|
|
fn batch_equals_streaming() {
|
|
|
|
|
|
let prices: Vec<f64> = (1..=60)
|
|
|
|
|
|
.map(|i| 100.0 + (f64::from(i) * 0.4).sin() * 6.0)
|
|
|
|
|
|
.collect();
|
|
|
|
|
|
let batch = Cmo::new(9).unwrap().batch(&prices);
|
|
|
|
|
|
let mut b = Cmo::new(9).unwrap();
|
|
|
|
|
|
let streamed: Vec<_> = prices.iter().map(|p| b.update(*p)).collect();
|
|
|
|
|
|
assert_eq!(batch, streamed);
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|