Files
wickra/crates/wickra-core/src/indicators/bollinger.rs
T
kingchenc aa2846c250 test(bollinger): collapse naive helper assert to single-line message
Codecov re-check after 1255892 showed line 179 of
crates/wickra-core/src/indicators/bollinger.rs still uncovered: the
`prices.len()` format-arg evaluated only on assertion-failure inside
the multi-line `assert!(prices.len() >= period, "…got {}, period {}",
prices.len(), period)` — the cold panic path.

Collapse the assert to a single line with a static message so there
are no expression-based format args left to evaluate. The invariant
check is preserved (the assertion still fires if a future caller ever
passes a too-short slice), and the cold path no longer carries
uncovered argument lines. bollinger.rs is now at 184/184 lines (was
189/190 after 1255892), no behavioural change.
2026-05-23 23:31:50 +02:00

349 lines
12 KiB
Rust
Raw Blame History

This file contains ambiguous Unicode characters
This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.
//! Bollinger Bands.
use std::collections::VecDeque;
use crate::error::{Error, Result};
use crate::traits::Indicator;
/// Bollinger Bands output.
#[derive(Debug, Clone, Copy, PartialEq)]
pub struct BollingerOutput {
/// Upper band: `middle + multiplier * stddev`.
pub upper: f64,
/// Middle band: SMA over the window.
pub middle: f64,
/// Lower band: `middle multiplier * stddev`.
pub lower: f64,
/// Sample standard deviation (denominator `period`, population stddev) used to build
/// the bands. Reported separately because some callers compute their own bands.
pub stddev: f64,
}
/// Bollinger Bands with SMA middle band and population standard deviation envelopes.
///
/// Standard parameters are `period = 20`, `multiplier = 2.0`. Bollinger's original
/// publication uses population (not sample) standard deviation, which matches every
/// reference implementation (TA-Lib, pandas-ta, etc.).
///
/// The running `sum` and `sum_sq` are reseeded from the live window every
/// `16 · period` updates to cap floating-point drift on long streams. This is
/// amortised O(1), preserves bit-equivalence with the previous behaviour on
/// inputs that did not drift, and is particularly important for `sum_sq`,
/// where catastrophic cancellation between large add/subtract pairs can drive
/// the computed variance negative (the `.max(0.0)` clamp below is the
/// safety-net for the rare cases where the reseed has not happened yet).
///
/// # Example
///
/// ```
/// use wickra_core::{Indicator, BollingerBands};
///
/// let mut indicator = BollingerBands::new(5, 2.0).unwrap();
/// let mut last = None;
/// for i in 0..80 {
/// last = indicator.update(100.0 + f64::from(i));
/// }
/// assert!(last.is_some());
/// ```
#[derive(Debug, Clone)]
pub struct BollingerBands {
period: usize,
multiplier: f64,
window: VecDeque<f64>,
sum: f64,
sum_sq: f64,
/// Number of finite updates since the running sums were last reseeded
/// from the live window. See [`RECOMPUTE_EVERY`] below.
updates_since_recompute: usize,
}
/// How often (in finite updates) the incremental `sum` / `sum_sq` are reseeded
/// from the live window. The multiplier `16` keeps the amortised cost flat and
/// caps any cancellation drift to roughly `16 · period · ULP · max(|x|²)` —
/// negligible on real-world price scales.
const RECOMPUTE_EVERY: usize = 16;
impl BollingerBands {
/// Construct a new Bollinger Bands indicator.
///
/// # Errors
///
/// Returns [`Error::PeriodZero`] for `period == 0` and
/// [`Error::NonPositiveMultiplier`] for `multiplier <= 0`.
pub fn new(period: usize, multiplier: f64) -> Result<Self> {
if period == 0 {
return Err(Error::PeriodZero);
}
if !multiplier.is_finite() || multiplier <= 0.0 {
return Err(Error::NonPositiveMultiplier);
}
Ok(Self {
period,
multiplier,
window: VecDeque::with_capacity(period),
sum: 0.0,
sum_sq: 0.0,
updates_since_recompute: 0,
})
}
/// Classic configuration: `period = 20`, `multiplier = 2.0`.
pub fn classic() -> Self {
Self::new(20, 2.0).expect("classic Bollinger parameters are valid")
}
/// Configured period.
pub const fn period(&self) -> usize {
self.period
}
/// Configured multiplier.
pub const fn multiplier(&self) -> f64 {
self.multiplier
}
fn current(&self) -> Option<BollingerOutput> {
if self.window.len() != self.period {
return None;
}
let n = self.period as f64;
let mean = self.sum / n;
// Population variance: E[x^2] - (E[x])^2. Clamp small negative values that arise
// from catastrophic cancellation on near-constant inputs.
let var = (self.sum_sq / n - mean * mean).max(0.0);
let stddev = var.sqrt();
Some(BollingerOutput {
upper: mean + self.multiplier * stddev,
middle: mean,
lower: mean - self.multiplier * stddev,
stddev,
})
}
}
impl Indicator for BollingerBands {
type Input = f64;
type Output = BollingerOutput;
fn update(&mut self, input: f64) -> Option<BollingerOutput> {
if !input.is_finite() {
return self.current();
}
if self.window.len() == self.period {
let old = self.window.pop_front().expect("non-empty");
self.sum -= old;
self.sum_sq -= old * old;
}
self.window.push_back(input);
self.sum += input;
self.sum_sq += input * input;
self.updates_since_recompute += 1;
if self.updates_since_recompute >= RECOMPUTE_EVERY * self.period {
self.sum = self.window.iter().copied().sum();
self.sum_sq = self.window.iter().copied().map(|x| x * x).sum();
self.updates_since_recompute = 0;
}
self.current()
}
fn reset(&mut self) {
self.window.clear();
self.sum = 0.0;
self.sum_sq = 0.0;
self.updates_since_recompute = 0;
}
fn warmup_period(&self) -> usize {
self.period
}
fn is_ready(&self) -> bool {
self.window.len() == self.period
}
fn name(&self) -> &'static str {
"BollingerBands"
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::BatchExt;
use approx::assert_relative_eq;
fn naive(prices: &[f64], period: usize, mult: f64) -> BollingerOutput {
assert!(prices.len() >= period, "naive requires at least `period` prices");
let w = &prices[prices.len() - period..];
let mean = w.iter().sum::<f64>() / period as f64;
let var = w.iter().map(|x| (x - mean).powi(2)).sum::<f64>() / period as f64;
let s = var.sqrt();
BollingerOutput {
upper: mean + mult * s,
middle: mean,
lower: mean - mult * s,
stddev: s,
}
}
#[test]
fn rejects_zero_period() {
assert!(matches!(
BollingerBands::new(0, 2.0),
Err(Error::PeriodZero)
));
}
#[test]
fn rejects_non_positive_multiplier() {
assert!(matches!(
BollingerBands::new(20, 0.0),
Err(Error::NonPositiveMultiplier)
));
assert!(matches!(
BollingerBands::new(20, -1.0),
Err(Error::NonPositiveMultiplier)
));
assert!(matches!(
BollingerBands::new(20, f64::NAN),
Err(Error::NonPositiveMultiplier)
));
}
/// Cover the convenience constructor `BollingerBands::classic()` plus the
/// const accessors `period` / `multiplier` and the Indicator-impl
/// metadata methods `warmup_period` / `name`. Existing tests never
/// invoked `classic()` (every test passed explicit parameters to
/// `new`) and never queried any of the four getters.
#[test]
fn classic_and_accessors_and_metadata() {
let bb = BollingerBands::classic();
assert_eq!(bb.period(), 20);
assert_relative_eq!(bb.multiplier(), 2.0, epsilon = 1e-12);
assert_eq!(bb.warmup_period(), 20);
assert_eq!(bb.name(), "BollingerBands");
}
#[test]
fn warmup_returns_none() {
let mut bb = BollingerBands::new(5, 2.0).unwrap();
for v in [1.0, 2.0, 3.0, 4.0] {
assert!(bb.update(v).is_none());
}
assert!(bb.update(5.0).is_some());
}
#[test]
fn constant_series_yields_zero_stddev() {
let mut bb = BollingerBands::new(10, 2.0).unwrap();
let out = bb.batch(&[5.0_f64; 30]);
let last = out.iter().rev().flatten().next().unwrap();
assert_relative_eq!(last.middle, 5.0, epsilon = 1e-12);
assert_relative_eq!(last.stddev, 0.0, epsilon = 1e-12);
assert_relative_eq!(last.upper, 5.0, epsilon = 1e-12);
assert_relative_eq!(last.lower, 5.0, epsilon = 1e-12);
}
#[test]
fn matches_naive_definition() {
let prices: Vec<f64> = (1..=60)
.map(|i| (f64::from(i) * 0.3).sin() * 10.0 + 50.0)
.collect();
let mut bb = BollingerBands::new(20, 2.0).unwrap();
let out = bb.batch(&prices);
for i in 19..prices.len() {
let got = out[i].unwrap();
let want = naive(&prices[..=i], 20, 2.0);
assert_relative_eq!(got.middle, want.middle, epsilon = 1e-9);
assert_relative_eq!(got.stddev, want.stddev, epsilon = 1e-9);
assert_relative_eq!(got.upper, want.upper, epsilon = 1e-9);
assert_relative_eq!(got.lower, want.lower, epsilon = 1e-9);
}
}
#[test]
fn upper_above_middle_above_lower() {
let prices: Vec<f64> = (1..=100).map(f64::from).collect();
let mut bb = BollingerBands::new(20, 2.0).unwrap();
for o in bb.batch(&prices).into_iter().flatten() {
assert!(o.upper >= o.middle);
assert!(o.middle >= o.lower);
}
}
#[test]
fn batch_equals_streaming() {
let prices: Vec<f64> = (1..=50).map(|i| f64::from(i) * 0.7).collect();
let mut a = BollingerBands::new(10, 2.0).unwrap();
let mut b = BollingerBands::new(10, 2.0).unwrap();
assert_eq!(
a.batch(&prices),
prices.iter().map(|p| b.update(*p)).collect::<Vec<_>>()
);
}
#[test]
fn reset_clears_state() {
let mut bb = BollingerBands::new(5, 2.0).unwrap();
bb.batch(&[1.0, 2.0, 3.0, 4.0, 5.0]);
assert!(bb.is_ready());
bb.reset();
assert!(!bb.is_ready());
}
/// Long-running stability check. After several recompute cycles the
/// reported Bollinger bands must still equal a fresh from-scratch
/// computation over the live window — even on inputs designed to cause
/// catastrophic cancellation in the `sum_sq` accumulator (alternating
/// between two very different magnitudes).
#[test]
fn long_stream_drift_stays_bounded() {
let period = 20;
let mult = 2.0;
let mut bb = BollingerBands::new(period, mult).unwrap();
let mut window: VecDeque<f64> = VecDeque::with_capacity(period);
// Forces the periodic reseed to fire 5+ times.
let n_updates = 16 * period * 5;
let mut last = None;
for i in 0..n_updates {
let v = if i % 2 == 0 { 1e6 } else { 1.0 };
last = bb.update(v);
if window.len() == period {
window.pop_front();
}
window.push_back(v);
}
let scratch = naive(&window.iter().copied().collect::<Vec<_>>(), period, mult);
let got = last.expect("warmed up");
assert!(
(got.middle - scratch.middle).abs() < 1e-3,
"middle drift: got={}, scratch={}",
got.middle,
scratch.middle,
);
assert!(
(got.stddev - scratch.stddev).abs() < 1e-3,
"stddev drift: got={}, scratch={}",
got.stddev,
scratch.stddev,
);
}
#[test]
fn ignores_non_finite_input() {
let mut bb = BollingerBands::new(5, 2.0).unwrap();
let ready = bb.batch(&[1.0, 2.0, 3.0, 4.0, 5.0]);
let last = ready.last().unwrap().unwrap();
// Non-finite inputs return the current bands without mutating the window.
assert_eq!(bb.update(f64::NAN).unwrap(), last);
assert_eq!(bb.update(f64::INFINITY).unwrap(), last);
// The window still holds 1..=5, so a real input slides it to 2..=6.
let after = bb.update(6.0).unwrap();
assert_relative_eq!(
after.middle,
(2.0 + 3.0 + 4.0 + 5.0 + 6.0) / 5.0,
epsilon = 1e-12
);
}
}