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//! Fractal Chaos Bands (Bill Williams Fractals).
use std::collections::VecDeque;
use crate::error::{Error, Result};
use crate::ohlcv::Candle;
use crate::traits::Indicator;
/// Fractal Chaos Bands output.
#[derive(Debug, Clone, Copy, PartialEq)]
pub struct FractalChaosBandsOutput {
/// Upper band: high of the most recent confirmed fractal high.
pub upper: f64,
/// Lower band: low of the most recent confirmed fractal low.
pub lower: f64,
}
/// Fractal Chaos Bands: a step-function envelope of the most recent Bill
/// Williams fractal highs and lows.
///
/// A bar is a **fractal high** when its high is the maximum of the window
/// `[i − k, …, i + k]`. A **fractal low** is defined symmetrically on lows.
/// The bands hold the high (low) of the latest confirmed fractal high (low),
/// stepping outwards whenever a new fractal forms and otherwise staying flat:
///
/// ```text
/// confirmation_lag = k // the centre bar is known only k bars later
/// upper = high of the most recent confirmed fractal high
/// lower = low of the most recent confirmed fractal low
/// ```
///
/// `k = 2` (5-bar fractals) is the canonical Williams setting and matches the
/// "Fractal Chaos Bands" oscillator shipped with several chart vendors. With
/// `k` bars of look-ahead, every band update reflects price `k` bars ago —
/// strict streaming preserves this lag rather than peeking into the future.
///
/// # Example
///
/// ```
/// use wickra_core::{Candle, FractalChaosBands, Indicator};
///
/// let mut indicator = FractalChaosBands::new(2).unwrap();
/// let mut last = None;
/// for i in 0..30 {
/// let base = 100.0 + (f64::from(i) * 0.5).sin() * 5.0;
/// let candle =
/// Candle::new(base, base + 1.0, base - 1.0, base, 10.0, i64::from(i)).unwrap();
/// last = indicator.update(candle);
/// }
/// // Confirmation requires `2k + 1` bars plus at least one fractal of each
/// // kind, so `last` may legitimately be `None` on a single sweep without
/// // both a peak and a trough in the window.
/// let _ = last;
/// ```
#[derive(Debug, Clone)]
pub struct FractalChaosBands {
k: usize,
window: VecDeque<Candle>,
last_upper: Option<f64>,
last_lower: Option<f64>,
}
impl FractalChaosBands {
/// Construct a new Fractal Chaos Bands indicator with the given fractal
/// half-width `k` (a bar is a fractal high if its high exceeds the highs
/// of the `k` bars on either side; canonical `k = 2`).
///
/// # Errors
/// Returns [`Error::PeriodZero`] if `k == 0` (a single bar is always its
/// own trivial fractal).
pub fn new(k: usize) -> Result<Self> {
if k == 0 {
return Err(Error::PeriodZero);
}
Ok(Self {
k,
window: VecDeque::with_capacity(2 * k + 1),
last_upper: None,
last_lower: None,
})
}
/// Canonical Bill Williams configuration: `k = 2` (5-bar fractals).
pub fn classic() -> Self {
Self::new(2).expect("classic Fractal Chaos Bands parameters are valid")
}
/// Configured half-width `k`.
pub const fn k(&self) -> usize {
self.k
}
}
impl Indicator for FractalChaosBands {
type Input = Candle;
type Output = FractalChaosBandsOutput;
fn update(&mut self, candle: Candle) -> Option<FractalChaosBandsOutput> {
let window_len = 2 * self.k + 1;
if self.window.len() == window_len {
self.window.pop_front();
}
self.window.push_back(candle);
if self.window.len() < window_len {
return None;
}
// The centre bar is at index `k`. Strictly compare against the `k`
// bars on either side: `>` for the high and `<` for the low (a ties-
// included pattern would fire on flat tops/bottoms, against Williams'
// intent).
let center = &self.window[self.k];
let mut is_high = true;
let mut is_low = true;
for (i, c) in self.window.iter().enumerate() {
if i == self.k {
continue;
}
if c.high >= center.high {
is_high = false;
}
if c.low <= center.low {
is_low = false;
}
}
if is_high {
self.last_upper = Some(center.high);
}
if is_low {
self.last_lower = Some(center.low);
}
// Both bands must have been seen at least once before we can emit.
match (self.last_upper, self.last_lower) {
(Some(u), Some(l)) => Some(FractalChaosBandsOutput { upper: u, lower: l }),
_ => None,
}
}
fn reset(&mut self) {
self.window.clear();
self.last_upper = None;
self.last_lower = None;
}
fn warmup_period(&self) -> usize {
2 * self.k + 1
}
fn is_ready(&self) -> bool {
self.last_upper.is_some() && self.last_lower.is_some()
}
fn name(&self) -> &'static str {
"FractalChaosBands"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
fn c(h: f64, l: f64, cl: f64) -> Candle {
Candle::new(cl, h, l, cl, 1.0, 0).unwrap()
}
#[test]
fn rejects_zero_k() {
assert!(matches!(FractalChaosBands::new(0), Err(Error::PeriodZero)));
}
#[test]
fn accessors_and_metadata() {
let f = FractalChaosBands::classic();
assert_eq!(f.k(), 2);
assert_eq!(f.warmup_period(), 5);
assert_eq!(f.name(), "FractalChaosBands");
}
/// Detect a single peak and a single trough with `k = 2`.
/// Bars (high, low, close): (1,1,1), (2,2,2), (5,3,4), (3,1,2),
/// (2,2,2), (1,1,1), (2,2,2), (5,3,4).
/// Indices: 0..7. The peak at i=2 is `>` its 2 neighbours on each side
/// (after index 4 lands). The trough at i=3 is `<` its 2 neighbours on
/// each side (after index 5 lands). Both bands first emit on index 5.
#[test]
fn detects_simple_peak_and_trough() {
let candles = vec![
c(1.0, 1.0, 1.0),
c(2.0, 2.0, 2.0),
c(5.0, 3.0, 4.0), // peak: high 5 is the max of neighbouring 4
c(3.0, 0.5, 1.0), // trough: low 0.5 is the min
c(2.0, 2.0, 2.0),
c(1.0, 1.0, 1.0),
c(2.0, 2.0, 2.0),
];
let mut f = FractalChaosBands::new(2).unwrap();
let out = f.batch(&candles);
// Bars 0..4 are warmup or single-band only — both bands haven't been
// confirmed yet.
for v in out.iter().take(5) {
assert!(v.is_none());
}
// Bar 5 confirms the trough at i=3 (low 0.5); the peak at i=2 was
// confirmed by bar 4 (centre 2, look-ahead 2 → index 4). So index 5
// is the first bar with *both* upper and lower set.
let v = out[5].unwrap();
assert_relative_eq!(v.upper, 5.0, epsilon = 1e-12);
assert_relative_eq!(v.lower, 0.5, epsilon = 1e-12);
}
/// In a flat market no bar is strictly higher (or lower) than its
/// neighbours, so no fractal ever confirms and the indicator never emits.
#[test]
fn flat_market_never_emits() {
let candles: Vec<Candle> = (0..30).map(|_| c(10.0, 10.0, 10.0)).collect();
let mut f = FractalChaosBands::new(2).unwrap();
for v in f.batch(&candles) {
assert!(v.is_none());
}
}
#[test]
fn batch_equals_streaming() {
let candles: Vec<Candle> = (0..40)
.map(|i| {
let m = 100.0 + (f64::from(i) * 0.5).sin() * 3.0;
c(m + 1.0, m - 1.0, m)
})
.collect();
let mut a = FractalChaosBands::new(2).unwrap();
let mut b = FractalChaosBands::new(2).unwrap();
assert_eq!(
a.batch(&candles),
candles.iter().map(|x| b.update(*x)).collect::<Vec<_>>()
);
}
#[test]
fn reset_clears_state() {
let candles = vec![
c(1.0, 1.0, 1.0),
c(2.0, 2.0, 2.0),
c(5.0, 3.0, 4.0),
c(3.0, 0.5, 1.0),
c(2.0, 2.0, 2.0),
c(1.0, 1.0, 1.0),
c(2.0, 2.0, 2.0),
];
let mut f = FractalChaosBands::new(2).unwrap();
f.batch(&candles);
assert!(f.is_ready());
f.reset();
assert!(!f.is_ready());
assert_eq!(f.update(candles[0]), None);
}
#[test]
fn upper_above_lower_when_both_set() {
let candles: Vec<Candle> = (0..60)
.map(|i| {
let m = 100.0 + (f64::from(i) * 0.4).sin() * 5.0;
c(m + 1.0, m - 1.0, m)
})
.collect();
let mut f = FractalChaosBands::new(2).unwrap();
for o in f.batch(&candles).into_iter().flatten() {
assert!(o.upper >= o.lower);
}
}
}