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//! Dynamic Momentum Index (Chande's volatility-adaptive RSI).
use std::collections::VecDeque;
use crate::error::{Error, Result};
use crate::indicators::sma::Sma;
use crate::indicators::std_dev::StdDev;
use crate::traits::Indicator;
// Chande's definitional constants.
const STD_PERIOD: usize = 5; // volatility window
const STD_AVG_PERIOD: usize = 10; // smoothing of the volatility
const MIN_PERIOD: usize = 5; // fastest RSI lookback
const MAX_PERIOD: usize = 30; // slowest RSI lookback
/// Dynamic Momentum Index — Tushar Chande's RSI whose lookback shrinks in
/// volatile markets and lengthens in calm ones.
///
/// A standard RSI uses a fixed period; the DMI varies it from the recent
/// volatility so the oscillator stays responsive when the market is fast and
/// smooth when it is quiet:
///
/// ```text
/// vol = StdDev(close, 5)
/// vol_avg = SMA(vol, 10)
/// Vi = vol / vol_avg (volatility index)
/// td = clamp(round(period / Vi), 5, 30) (dynamic lookback)
/// avg_gain, avg_loss = simple means of the last `td` price changes
/// DMI = 100 * avg_gain / (avg_gain + avg_loss)
/// ```
///
/// High volatility (`Vi > 1`) shortens `td` toward `5` (faster); low volatility
/// lengthens it toward `30` (slower). The averages of gains and losses are
/// simple means over the last `td` changes (not Wilder-smoothed), recomputed as
/// the window length flexes. Output is bounded in `[0, 100]`; a flat market
/// returns the neutral `50`.
///
/// The first value lands after `MAX_PERIOD + 1 = 31` inputs, so the change
/// buffer always holds enough history for any dynamic lookback up to `30`.
///
/// # Example
///
/// ```
/// use wickra_core::{DynamicMomentumIndex, Indicator};
///
/// let mut dmi = DynamicMomentumIndex::new(14).unwrap();
/// let mut last = None;
/// for i in 0..80 {
/// last = dmi.update(100.0 + (f64::from(i) * 0.2).sin() * 5.0);
/// }
/// assert!(last.is_some());
/// ```
#[derive(Debug, Clone)]
pub struct DynamicMomentumIndex {
period: usize,
vol: StdDev,
vol_avg: Sma,
prev_close: Option<f64>,
/// The last `MAX_PERIOD` price changes, oldest at the front.
changes: VecDeque<f64>,
last_vol_avg: Option<f64>,
last_value: Option<f64>,
}
impl DynamicMomentumIndex {
/// Construct a DMI with the given base RSI period (Chande uses 14).
///
/// # Errors
///
/// Returns [`Error::PeriodZero`] if `period == 0`.
pub fn new(period: usize) -> Result<Self> {
if period == 0 {
return Err(Error::PeriodZero);
}
Ok(Self {
period,
vol: StdDev::new(STD_PERIOD)?,
vol_avg: Sma::new(STD_AVG_PERIOD)?,
prev_close: None,
changes: VecDeque::with_capacity(MAX_PERIOD),
last_vol_avg: None,
last_value: None,
})
}
/// Configured base period.
pub const fn period(&self) -> usize {
self.period
}
/// Current value if available.
pub const fn value(&self) -> Option<f64> {
self.last_value
}
/// Dynamic lookback for the current volatility, clamped to `[5, 30]`.
fn dynamic_period(&self, vol: f64, vol_avg: f64) -> usize {
if vol_avg <= 0.0 || vol <= 0.0 {
// No measurable volatility -> slowest (calmest) lookback.
return MAX_PERIOD;
}
let vi = vol / vol_avg;
let td = (self.period as f64 / vi).round();
// td is finite and positive here; clamp into the valid band.
(td as usize).clamp(MIN_PERIOD, MAX_PERIOD)
}
}
impl Indicator for DynamicMomentumIndex {
type Input = f64;
type Output = f64;
fn update(&mut self, input: f64) -> Option<f64> {
if !input.is_finite() {
return self.last_value;
}
// Track the smoothed volatility on every close.
if let Some(v) = self.vol.update(input) {
self.last_vol_avg = self.vol_avg.update(v);
}
// Record the price change.
if let Some(prev) = self.prev_close {
let change = input - prev;
if self.changes.len() == MAX_PERIOD {
self.changes.pop_front();
}
self.changes.push_back(change);
}
self.prev_close = Some(input);
let vol = self.vol.value()?;
let vol_avg = self.last_vol_avg?;
if self.changes.len() < MAX_PERIOD {
return None;
}
let td = self.dynamic_period(vol, vol_avg);
// Average gains and losses over the last `td` changes.
let mut sum_gain = 0.0;
let mut sum_loss = 0.0;
for &c in self.changes.iter().skip(MAX_PERIOD - td) {
if c > 0.0 {
sum_gain += c;
} else if c < 0.0 {
sum_loss -= c;
}
}
let denom = sum_gain + sum_loss;
let v = if denom == 0.0 {
50.0
} else {
// Ratio first, then scale, so `100 * g / g` cannot round above 100.
100.0 * (sum_gain / denom)
};
self.last_value = Some(v);
Some(v)
}
fn reset(&mut self) {
self.vol.reset();
self.vol_avg.reset();
self.prev_close = None;
self.changes.clear();
self.last_vol_avg = None;
self.last_value = None;
}
fn warmup_period(&self) -> usize {
// The change buffer (MAX_PERIOD changes => MAX_PERIOD + 1 inputs) is the
// binding constraint; the volatility chain (5 + 10 - 1 = 14) is shorter.
MAX_PERIOD + 1
}
fn is_ready(&self) -> bool {
self.last_value.is_some()
}
fn name(&self) -> &'static str {
"DynamicMomentumIndex"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
#[test]
fn rejects_zero_period() {
assert!(matches!(
DynamicMomentumIndex::new(0),
Err(Error::PeriodZero)
));
}
/// Cover the const accessors `period` + `value` and the Indicator-impl
/// `warmup_period` + `name`.
#[test]
fn accessors_and_metadata() {
let dmi = DynamicMomentumIndex::new(14).unwrap();
assert_eq!(dmi.period(), 14);
assert_eq!(dmi.value(), None);
assert_eq!(dmi.warmup_period(), 31);
assert_eq!(dmi.name(), "DynamicMomentumIndex");
}
#[test]
fn first_emission_matches_warmup_period() {
let prices: Vec<f64> = (0..50)
.map(|i| 100.0 + (f64::from(i) * 0.4).sin() * 6.0)
.collect();
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
let out = dmi.batch(&prices);
for (i, v) in out.iter().enumerate().take(30) {
assert!(v.is_none(), "index {i} must be None during warmup");
}
assert!(out[30].is_some(), "first value at warmup_period - 1 = 30");
}
#[test]
fn pure_uptrend_is_one_hundred() {
// Every change positive -> avg_loss 0 -> 100, regardless of dynamic period.
let prices: Vec<f64> = (1..=60).map(f64::from).collect();
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
let last = dmi.batch(&prices).into_iter().flatten().last().unwrap();
assert_relative_eq!(last, 100.0, epsilon = 1e-9);
}
#[test]
fn flat_market_is_neutral() {
// Constant prices: no volatility (dynamic period -> max) and no changes
// -> neutral 50.
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
let last = dmi.batch(&[42.0; 50]).into_iter().flatten().last().unwrap();
assert_relative_eq!(last, 50.0, epsilon = 1e-12);
}
#[test]
fn output_stays_in_range() {
let prices: Vec<f64> = (0..120)
.map(|i| 100.0 + (f64::from(i) * 0.3).sin() * 10.0 + (f64::from(i) * 0.07).cos() * 4.0)
.collect();
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
for v in dmi.batch(&prices).into_iter().flatten() {
assert!((0.0..=100.0).contains(&v), "DMI {v} left [0, 100]");
}
}
#[test]
fn high_volatility_shortens_period() {
let dmi = DynamicMomentumIndex::new(14).unwrap();
// Vi = 2 (vol twice its average) -> td = round(14 / 2) = 7.
assert_eq!(dmi.dynamic_period(2.0, 1.0), 7);
// Vi = 0.5 (calm) -> td = round(14 / 0.5) = 28.
assert_eq!(dmi.dynamic_period(0.5, 1.0), 28);
// Extreme calm clamps to MAX_PERIOD; extreme volatility clamps to MIN.
assert_eq!(dmi.dynamic_period(0.1, 1.0), MAX_PERIOD);
assert_eq!(dmi.dynamic_period(100.0, 1.0), MIN_PERIOD);
// Zero volatility -> slowest lookback.
assert_eq!(dmi.dynamic_period(0.0, 1.0), MAX_PERIOD);
assert_eq!(dmi.dynamic_period(1.0, 0.0), MAX_PERIOD);
}
#[test]
fn ignores_non_finite_input() {
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
let ready = dmi
.batch(&(0..40).map(|i| 100.0 + f64::from(i)).collect::<Vec<_>>())
.into_iter()
.flatten()
.last()
.unwrap();
assert_eq!(dmi.update(f64::NAN), Some(ready));
assert_eq!(dmi.update(f64::INFINITY), Some(ready));
}
#[test]
fn reset_clears_state() {
let mut dmi = DynamicMomentumIndex::new(14).unwrap();
dmi.batch(&(0..40).map(|i| 100.0 + f64::from(i)).collect::<Vec<_>>());
assert!(dmi.is_ready());
dmi.reset();
assert!(!dmi.is_ready());
assert_eq!(dmi.update(1.0), None);
}
#[test]
fn batch_equals_streaming() {
let prices: Vec<f64> = (0..80)
.map(|i| 50.0 + (f64::from(i) * 0.5).sin() * 10.0)
.collect();
let mut a = DynamicMomentumIndex::new(14).unwrap();
let mut b = DynamicMomentumIndex::new(14).unwrap();
assert_eq!(
a.batch(&prices),
prices.iter().map(|p| b.update(*p)).collect::<Vec<_>>()
);
}
}