2026-05-21 17:50:45 +02:00
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//! Moving Average Convergence Divergence (MACD).
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use crate::error::{Error, Result};
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use crate::indicators::ema::Ema;
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use crate::traits::Indicator;
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/// MACD output: the three classic series at a given step.
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#[derive(Debug, Clone, Copy, PartialEq)]
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pub struct MacdOutput {
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/// Fast EMA − slow EMA.
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pub macd: f64,
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/// EMA of `macd` over the signal period.
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pub signal: f64,
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/// `macd − signal`.
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pub histogram: f64,
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}
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/// MACD = EMA(fast) − EMA(slow), with a signal EMA on top.
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///
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/// Standard parameters are `fast = 12`, `slow = 26`, `signal = 9`. The signal EMA
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/// is seeded from the first `signal` raw MACD values, so the first full
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/// [`MacdOutput`] is emitted after `slow + signal − 1` inputs (assuming the
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/// slow EMA seeded by then).
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2026-05-22 16:41:43 +02:00
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///
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/// # Example
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///
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/// ```
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/// use wickra_core::{Indicator, MacdIndicator};
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///
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/// let mut indicator = MacdIndicator::new(3, 6, 3).unwrap();
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/// let mut last = None;
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/// for i in 0..80 {
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/// last = indicator.update(100.0 + f64::from(i));
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/// }
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/// assert!(last.is_some());
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/// ```
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2026-05-21 17:50:45 +02:00
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#[derive(Debug, Clone)]
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pub struct MacdIndicator {
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fast: Ema,
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slow: Ema,
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signal_ema: Ema,
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fast_period: usize,
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slow_period: usize,
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signal_period: usize,
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last: Option<MacdOutput>,
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}
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impl MacdIndicator {
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/// Construct a MACD with the given periods.
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///
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/// # Errors
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///
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/// Returns [`Error::PeriodZero`] if any period is zero, and
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/// [`Error::InvalidPeriod`] if `fast >= slow`.
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pub fn new(fast: usize, slow: usize, signal: usize) -> Result<Self> {
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if fast == 0 || slow == 0 || signal == 0 {
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return Err(Error::PeriodZero);
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}
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if fast >= slow {
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return Err(Error::InvalidPeriod {
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message: "fast period must be strictly less than slow period",
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});
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}
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Ok(Self {
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fast: Ema::new(fast)?,
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slow: Ema::new(slow)?,
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signal_ema: Ema::new(signal)?,
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fast_period: fast,
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slow_period: slow,
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signal_period: signal,
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last: None,
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})
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}
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/// Default `(12, 26, 9)` configuration, matching every classical chart package.
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pub fn classic() -> Self {
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Self::new(12, 26, 9).expect("classic MACD periods are valid")
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}
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/// Configured periods as `(fast, slow, signal)`.
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pub const fn periods(&self) -> (usize, usize, usize) {
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(self.fast_period, self.slow_period, self.signal_period)
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}
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/// Most recent fully-computed output if available.
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pub const fn value(&self) -> Option<MacdOutput> {
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self.last
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}
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}
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impl Indicator for MacdIndicator {
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type Input = f64;
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type Output = MacdOutput;
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fn update(&mut self, input: f64) -> Option<MacdOutput> {
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if !input.is_finite() {
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return self.last;
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}
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let fast = self.fast.update(input);
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let slow = self.slow.update(input);
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match (fast, slow) {
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(Some(f), Some(s)) => {
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let macd = f - s;
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let signal = self.signal_ema.update(macd)?;
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let out = MacdOutput {
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macd,
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signal,
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histogram: macd - signal,
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};
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self.last = Some(out);
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Some(out)
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}
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_ => None,
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}
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}
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fn reset(&mut self) {
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self.fast.reset();
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self.slow.reset();
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self.signal_ema.reset();
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self.last = None;
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}
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fn warmup_period(&self) -> usize {
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// Slow EMA needs `slow` inputs to seed; signal EMA needs another `signal - 1`.
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self.slow_period + self.signal_period - 1
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}
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fn is_ready(&self) -> bool {
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self.last.is_some()
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}
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fn name(&self) -> &'static str {
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"MACD"
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}
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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use crate::traits::BatchExt;
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use approx::assert_relative_eq;
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#[test]
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fn rejects_fast_geq_slow() {
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assert!(matches!(
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MacdIndicator::new(26, 12, 9),
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Err(Error::InvalidPeriod { .. })
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));
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assert!(matches!(
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MacdIndicator::new(12, 12, 9),
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Err(Error::InvalidPeriod { .. })
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));
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}
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#[test]
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fn rejects_zero_periods() {
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assert!(matches!(
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MacdIndicator::new(0, 26, 9),
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Err(Error::PeriodZero)
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));
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assert!(matches!(
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MacdIndicator::new(12, 0, 9),
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Err(Error::PeriodZero)
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));
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assert!(matches!(
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MacdIndicator::new(12, 26, 0),
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Err(Error::PeriodZero)
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));
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}
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#[test]
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fn first_emission_matches_warmup_period() {
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let prices: Vec<f64> = (1..=60).map(f64::from).collect();
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let mut macd = MacdIndicator::classic();
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let out = macd.batch(&prices);
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let warmup = macd.warmup_period();
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// Indices 0..warmup-1 are None, index warmup-1 might be Some or might still need
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// the signal EMA's seeding. Our warmup_period is the index at which the first
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// signal value appears: slow + signal - 1.
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for x in out.iter().take(warmup - 1) {
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assert!(x.is_none(), "expected None within warmup");
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}
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assert!(
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out[warmup - 1].is_some(),
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"expected first emission at warmup_period - 1 ({warmup} idx)"
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);
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}
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#[test]
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fn histogram_equals_macd_minus_signal() {
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let prices: Vec<f64> = (1..=80).map(|i| f64::from(i) * 0.5).collect();
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let mut macd = MacdIndicator::classic();
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for v in macd.batch(&prices).into_iter().flatten() {
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assert_relative_eq!(v.histogram, v.macd - v.signal, epsilon = 1e-12);
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}
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}
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#[test]
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fn constant_series_yields_zero_macd_eventually() {
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let mut macd = MacdIndicator::classic();
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let out = macd.batch(&[100.0_f64; 200]);
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// Both EMAs converge to 100, so MACD must approach 0.
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let last = out.iter().rev().flatten().next().expect("emits a value");
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assert_relative_eq!(last.macd, 0.0, epsilon = 1e-9);
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assert_relative_eq!(last.signal, 0.0, epsilon = 1e-9);
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assert_relative_eq!(last.histogram, 0.0, epsilon = 1e-9);
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}
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#[test]
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fn rising_series_macd_positive_then_signal_catches_up() {
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let prices: Vec<f64> = (1..=200).map(f64::from).collect();
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let mut macd = MacdIndicator::classic();
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let out = macd.batch(&prices);
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let last = out.iter().rev().flatten().next().unwrap();
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assert!(last.macd > 0.0, "rising series must yield positive MACD");
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}
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#[test]
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fn batch_equals_streaming() {
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let prices: Vec<f64> = (1..=100)
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.map(|i| (f64::from(i) * 0.4).cos() * 10.0)
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.collect();
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let mut a = MacdIndicator::classic();
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let mut b = MacdIndicator::classic();
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assert_eq!(
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a.batch(&prices),
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prices.iter().map(|p| b.update(*p)).collect::<Vec<_>>()
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);
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}
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#[test]
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fn reset_clears_state() {
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let mut macd = MacdIndicator::classic();
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macd.batch(&(1..=80).map(f64::from).collect::<Vec<_>>());
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assert!(macd.is_ready());
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macd.reset();
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assert!(!macd.is_ready());
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assert_eq!(macd.update(1.0), None);
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}
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2026-05-22 03:34:19 +02:00
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#[test]
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fn ignores_non_finite_input() {
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let mut macd = MacdIndicator::classic();
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macd.batch(&(1..=80).map(f64::from).collect::<Vec<_>>());
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let before = macd.value();
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assert!(before.is_some());
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// Non-finite inputs return the last value without advancing any EMA.
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assert_eq!(macd.update(f64::NAN), before);
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assert_eq!(macd.update(f64::INFINITY), before);
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assert_eq!(macd.value(), before);
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}
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2026-05-21 17:50:45 +02:00
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}
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