2026-05-22 18:09:10 +02:00
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//! Percentage Price Oscillator.
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use crate::error::{Error, Result};
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use crate::traits::Indicator;
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use super::Ema;
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/// Percentage Price Oscillator — MACD expressed as a percentage.
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///
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/// PPO is the gap between a fast and a slow EMA, divided by the slow EMA and
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/// scaled to a percentage:
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///
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/// ```text
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/// PPO = 100 · (EMA_fast − EMA_slow) / EMA_slow
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/// ```
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///
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/// Dividing by the slow EMA makes PPO **scale-free**: a `PPO` of `1.5` means
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/// "the fast EMA is 1.5 % above the slow EMA" on any instrument, so PPO
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/// readings *are* comparable across assets — unlike the raw price-unit
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/// [`MacdIndicator`](crate::MacdIndicator). The classic PPO **signal line** is
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/// a 9-period EMA of this PPO line; compose it with [`Chain`](crate::Chain)
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/// and an [`Ema`] if you need it.
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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, Ppo};
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///
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/// let mut indicator = Ppo::new(12, 26).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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#[derive(Debug, Clone)]
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pub struct Ppo {
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fast: usize,
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slow: usize,
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ema_fast: Ema,
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ema_slow: Ema,
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current: Option<f64>,
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}
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impl Ppo {
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/// Construct a new PPO with the `fast` and `slow` EMA periods.
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///
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/// # Errors
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///
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/// Returns [`Error::PeriodZero`] if either period is `0`, or
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/// [`Error::InvalidPeriod`] if `fast >= slow`.
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pub fn new(fast: usize, slow: usize) -> Result<Self> {
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if fast == 0 || slow == 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: "PPO fast period must be < slow period",
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});
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}
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Ok(Self {
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fast,
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slow,
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ema_fast: Ema::new(fast)?,
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ema_slow: Ema::new(slow)?,
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current: None,
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})
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}
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/// The `(fast, slow)` periods.
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pub const fn periods(&self) -> (usize, usize) {
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(self.fast, self.slow)
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}
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/// Current value if available.
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pub const fn value(&self) -> Option<f64> {
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self.current
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}
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}
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impl Indicator for Ppo {
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type Input = f64;
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type Output = f64;
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fn update(&mut self, input: f64) -> Option<f64> {
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if !input.is_finite() {
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// Non-finite input is ignored; the EMAs are not advanced.
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return self.current;
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}
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let fast = self.ema_fast.update(input);
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let slow = self.ema_slow.update(input);
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match (fast, slow) {
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(Some(f), Some(s)) => {
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let ppo = if s == 0.0 {
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// Undefined ratio against a zero slow EMA: report flat.
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0.0
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} else {
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100.0 * (f - s) / s
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};
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self.current = Some(ppo);
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Some(ppo)
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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.ema_fast.reset();
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self.ema_slow.reset();
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self.current = None;
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}
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fn warmup_period(&self) -> usize {
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// The slow EMA is the last to seed.
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self.slow
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}
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fn is_ready(&self) -> bool {
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self.current.is_some()
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}
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fn name(&self) -> &'static str {
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"PPO"
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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 new_rejects_zero_period() {
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assert!(matches!(Ppo::new(0, 26), Err(Error::PeriodZero)));
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assert!(matches!(Ppo::new(12, 0), Err(Error::PeriodZero)));
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}
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#[test]
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fn new_rejects_fast_not_less_than_slow() {
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assert!(matches!(Ppo::new(26, 12), Err(Error::InvalidPeriod { .. })));
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assert!(matches!(Ppo::new(12, 12), Err(Error::InvalidPeriod { .. })));
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}
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2026-05-24 00:46:56 +02:00
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/// Cover the const accessors `periods` / `value` (lines 71-78) and the
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/// Indicator-impl `name` body (122-124). `warmup_period` is already
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/// covered by `first_emission_at_warmup_period`.
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#[test]
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fn accessors_and_metadata() {
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let mut ppo = Ppo::new(12, 26).unwrap();
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assert_eq!(ppo.periods(), (12, 26));
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assert_eq!(ppo.name(), "PPO");
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assert_eq!(ppo.value(), None);
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for i in 1..=26 {
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ppo.update(f64::from(i));
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}
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assert!(ppo.value().is_some());
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}
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/// Cover the `s == 0.0` defensive branch (line 96). PPO divides by
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/// the slow EMA; existing tests use prices ≈ 100, so the slow EMA
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/// is never 0. Feed a stream of zeros — both EMAs converge to 0.0
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/// and the indicator must emit exactly 0.0 (flat-momentum fallback)
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/// rather than NaN.
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#[test]
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fn zero_slow_ema_yields_zero_ppo() {
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let mut ppo = Ppo::new(3, 6).unwrap();
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let out = ppo.batch(&[0.0_f64; 20]);
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let last = out.into_iter().flatten().last().expect("emits");
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assert_eq!(last, 0.0);
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}
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2026-05-22 18:09:10 +02:00
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#[test]
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fn first_emission_at_warmup_period() {
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let mut ppo = Ppo::new(3, 6).unwrap();
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assert_eq!(ppo.warmup_period(), 6);
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let out = ppo.batch(&(1..=30).map(f64::from).collect::<Vec<_>>());
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for v in out.iter().take(5) {
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assert!(v.is_none());
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}
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assert!(out[5].is_some());
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}
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#[test]
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fn constant_series_yields_zero() {
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// Both EMAs converge to the constant, so their gap is zero.
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let mut ppo = Ppo::new(3, 6).unwrap();
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let out = ppo.batch(&[100.0; 60]);
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for v in out.iter().skip(5).flatten() {
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assert_relative_eq!(*v, 0.0, epsilon = 1e-9);
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}
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}
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#[test]
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fn uptrend_is_positive() {
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// In a rising series the fast EMA leads the slow EMA, so PPO > 0.
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let mut ppo = Ppo::new(5, 12).unwrap();
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let out = ppo.batch(&(1..=80).map(f64::from).collect::<Vec<_>>());
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let last = out.iter().rev().flatten().next().unwrap();
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assert!(*last > 0.0, "uptrend PPO should be positive, got {last}");
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}
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#[test]
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fn ignores_non_finite_input() {
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let mut ppo = Ppo::new(3, 6).unwrap();
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let out = ppo.batch(&(1..=30).map(f64::from).collect::<Vec<_>>());
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let last = *out.last().unwrap();
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assert!(last.is_some());
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assert_eq!(ppo.update(f64::NAN), last);
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assert_eq!(ppo.update(f64::INFINITY), last);
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}
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#[test]
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fn reset_clears_state() {
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let mut ppo = Ppo::new(3, 6).unwrap();
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ppo.batch(&(1..=30).map(f64::from).collect::<Vec<_>>());
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assert!(ppo.is_ready());
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ppo.reset();
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assert!(!ppo.is_ready());
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assert_eq!(ppo.update(1.0), None);
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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..=120)
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.map(|i| 100.0 + (f64::from(i) * 0.25).sin() * 9.0)
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.collect();
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let batch = Ppo::new(12, 26).unwrap().batch(&prices);
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let mut b = Ppo::new(12, 26).unwrap();
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let streamed: Vec<_> = prices.iter().map(|p| b.update(*p)).collect();
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assert_eq!(batch, streamed);
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}
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}
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