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//! Minus Directional Movement (-DM), Wilder-smoothed.
use crate::error::{Error, Result};
use crate::indicators::adx::directional_movement;
use crate::ohlcv::Candle;
use crate::traits::Indicator;
/// Wilder's Minus Directional Movement (`MINUS_DM`).
///
/// The raw minus directional movement of a bar is `max(low_prev − low, 0)` when
/// the down-move exceeds the up-move `high − high_prev`, and `0` otherwise. This
/// indicator returns the Wilder-smoothed running total of that raw `-DM` over
/// `period` bars, the same accumulation that feeds [`Adx`](crate::Adx) and
/// [`MinusDi`](crate::MinusDi).
///
/// The first `period` raw values seed the sum; from then on each update applies
/// the Wilder recursion `smoothed − smoothed / period + raw`. Because a bar's
/// directional movement needs the previous bar, the first value is emitted after
/// `period + 1` candles.
///
/// # Example
///
/// ```
/// use wickra_core::{Candle, Indicator, MinusDm};
///
/// let mut indicator = MinusDm::new(5).unwrap();
/// let mut last = None;
/// for i in 0..40 {
/// let base = 100.0 - f64::from(i);
/// let candle =
/// Candle::new(base, base + 2.0, base - 2.0, base - 1.0, 10.0, i64::from(i)).unwrap();
/// last = indicator.update(candle);
/// }
/// assert!(last.is_some());
/// ```
#[derive(Debug, Clone)]
pub struct MinusDm {
period: usize,
prev: Option<Candle>,
seed: f64,
seed_count: usize,
smooth: Option<f64>,
}
impl MinusDm {
/// # 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: None,
seed: 0.0,
seed_count: 0,
smooth: None,
})
}
/// Configured period.
pub const fn period(&self) -> usize {
self.period
}
}
impl Indicator for MinusDm {
type Input = Candle;
type Output = f64;
fn update(&mut self, candle: Candle) -> Option<f64> {
let Some(prev) = self.prev else {
self.prev = Some(candle);
return None;
};
self.prev = Some(candle);
let (_, minus_dm) = directional_movement(&prev, &candle);
let n = self.period as f64;
if let Some(s) = self.smooth {
let s_new = s - s / n + minus_dm;
self.smooth = Some(s_new);
return Some(s_new);
}
self.seed += minus_dm;
self.seed_count += 1;
if self.seed_count < self.period {
return None;
}
self.smooth = Some(self.seed);
Some(self.seed)
}
fn reset(&mut self) {
self.prev = None;
self.seed = 0.0;
self.seed_count = 0;
self.smooth = None;
}
fn warmup_period(&self) -> usize {
self.period
}
fn is_ready(&self) -> bool {
self.smooth.is_some()
}
fn name(&self) -> &'static str {
"MINUS_DM"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
/// Candle with explicit high/low; open and close are pinned to `cl`.
fn c(h: f64, l: f64, cl: f64) -> Candle {
Candle::new(cl, h, l, cl, 1.0, 0).unwrap()
}
#[test]
fn rejects_zero_period() {
assert!(matches!(MinusDm::new(0), Err(Error::PeriodZero)));
}
#[test]
fn accessors_report_config() {
let dm = MinusDm::new(7).unwrap();
assert_eq!(dm.period(), 7);
assert_eq!(dm.name(), "MINUS_DM");
assert_eq!(dm.warmup_period(), 7);
assert!(!dm.is_ready());
}
#[test]
fn seeds_then_smooths_a_constant_minus_dm() {
// Low falls by 1 each bar (down = +1); high falls by 0.5 each bar, so the
// up-move is negative and -DM equals the down-move (1.0) on every bar.
let candles: Vec<Candle> = (0..5)
.map(|i| {
c(
20.0 - 0.5 * f64::from(i),
18.0 - f64::from(i),
19.0 - f64::from(i),
)
})
.collect();
let mut dm = MinusDm::new(3).unwrap();
let out: Vec<Option<f64>> = dm.batch(&candles);
assert_eq!(out[0], None);
assert_eq!(out[1], None);
assert_eq!(out[2], None);
// Seed = sum of three unit -DM values.
assert_relative_eq!(out[3].unwrap(), 3.0, epsilon = 1e-12);
// Wilder step: 3 - 3/3 + 1 = 3.
assert_relative_eq!(out[4].unwrap(), 3.0, epsilon = 1e-12);
assert!(dm.is_ready());
}
#[test]
fn up_moves_contribute_zero() {
// Strict uptrend: lows rise, so every raw -DM is zero.
let candles: Vec<Candle> = (0..6)
.map(|i| c(20.0 + f64::from(i), 5.0 + f64::from(i), 12.0 + f64::from(i)))
.collect();
let mut dm = MinusDm::new(3).unwrap();
let last = dm.batch(&candles).into_iter().flatten().last().unwrap();
assert_relative_eq!(last, 0.0, epsilon = 1e-12);
}
#[test]
fn reset_restores_initial_state() {
let candles: Vec<Candle> = (0..5)
.map(|i| {
c(
20.0 - 0.5 * f64::from(i),
18.0 - f64::from(i),
19.0 - f64::from(i),
)
})
.collect();
let mut dm = MinusDm::new(3).unwrap();
let _ = dm.batch(&candles);
assert!(dm.is_ready());
dm.reset();
assert!(!dm.is_ready());
assert_eq!(dm.update(candles[0]), None);
}
}