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kingchenc 6643f7a81d F13b: add True Range, Chaikin Volatility, Z-Score and Linear Regression Angle
Second half of the eight indicators that fill out the new family taxonomy.

- Rust core: true_range.rs (TrueRange — the raw single-bar volatility ATR
  averages), chaikin_volatility.rs (ChaikinVolatility — rate of change of a
  smoothed high-low spread), z_score.rs (ZScore — price normalised against
  its rolling mean and standard deviation) and linreg_angle.rs (LinRegAngle
  — the rolling regression slope as a degree angle). Each with a full
  Indicator impl, runnable doctest and reference / property / warmup /
  reset / batch==streaming tests.
- Python / Node / WASM: classes wired through all three bindings (ZScore
  and LinRegAngle ride the scalar macros where possible) plus .pyi stubs
  and __init__.py / __all__ entries.
- Wiki: four new Indicator-*.md pages.

The eight-family taxonomy restructure (Overview / Home / README / folder
layout) lands next in F13c.

cargo fmt + clippy (core/wickra/data/wasm/node) clean; 508 core tests,
25 data tests and 74 doctests green.
2026-05-22 21:06:36 +02:00

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# ChaikinVolatility
> Chaikin Volatility — the rate of change of a smoothed high-low spread;
> is the trading range widening or narrowing?
## Quick reference
| Field | Value |
|-------|-------|
| Family | Volatility & Bands |
| Input type | `Candle` (uses `high`, `low`) |
| Output type | `f64` |
| Output range | unbounded around zero (percent) |
| Default parameters | `ema_period = 10`, `roc_period = 10` (Python) |
| Warmup period | `ema_period + roc_period` |
| Interpretation | Positive = ranges expanding, negative = ranges contracting. |
## Formula
```
spread_t = high_t low_t
smoothed_t = EMA(spread, ema_period)_t
ChaikinVol = 100 · (smoothed_t smoothed_{troc_period}) / smoothed_{troc_period}
```
Marc Chaikin's volatility measure tracks not the *level* of the trading range
but how fast it is *widening or narrowing*. The bar's high-low spread is
EMA-smoothed, then run through a rate-of-change: a rising value means ranges
are expanding (often near a market top, as fear spikes), a falling value means
they are contracting (a quiet, complacent market). The classic configuration
smooths the spread with a `10`-period EMA and takes its `10`-period rate of
change.
## Parameters
- `ema_period` — the EMA that smooths the high-low spread (`10`).
- `roc_period` — the rate-of-change lookback over the smoothed spread (`10`).
`ChaikinVolatility::classic()` returns the `(10, 10)` configuration.
## Inputs / Outputs
From `crates/wickra-core/src/indicators/chaikin_volatility.rs`:
```rust
impl Indicator for ChaikinVolatility {
type Input = Candle;
type Output = f64;
// update(&mut self, input: Candle) -> Option<f64>
}
```
`ChaikinVolatility` is a **candle-input** indicator that reads `high` and
`low`. Python's streaming `update` accepts a 6-tuple or a dict; the batch
helper takes `high`, `low` numpy arrays. Node and WASM expose
`update(high, low)` and the matching `batch`.
## Warmup
`ChaikinVolatility::classic().warmup_period() == 20`. The EMA emits at candle
`ema_period`; the rate-of-change then needs `roc_period` more smoothed values.
## Edge cases
- **Constant range.** A constant high-low spread smooths to a constant EMA,
whose rate of change is `0`.
- **Expanding range.** A monotonically widening range reads positive.
- **Reset.** `cv.reset()` clears the inner EMA and ROC.
## Examples
### Rust
```rust
use wickra::{BatchExt, Candle, Indicator, ChaikinVolatility};
fn main() -> Result<(), Box<dyn std::error::Error>> {
let mut cv = ChaikinVolatility::new(10, 10)?;
// A constant 2-wide range -> constant EMA -> zero rate of change.
let candles: Vec<Candle> = (0..40)
.map(|i| {
let base = 100.0 + f64::from(i);
Candle::new(base, base + 1.0, base - 1.0, base, 1.0, i).unwrap()
})
.collect();
println!("{:?}", cv.batch(&candles).last().unwrap());
Ok(())
}
```
Output:
```
Some(0.0)
```
### Python
```python
import numpy as np
import wickra as ta
cv = ta.ChaikinVolatility(10, 10)
n = 40
base = np.arange(n, dtype=float) + 100.0
print(cv.batch(base + 1.0, base - 1.0)[-1])
```
Output:
```
0.0
```
### Node
```javascript
const ta = require('wickra');
const cv = new ta.ChaikinVolatility(10, 10);
const base = Array.from({ length: 40 }, (_, i) => 100 + i);
const out = cv.batch(base.map((b) => b + 1), base.map((b) => b - 1));
console.log(out[out.length - 1]);
```
Output:
```
0
```
## Interpretation
A rising Chaikin Volatility warns that ranges are expanding fast — Chaikin
associated sharp rises with market tops, where panic widens bars. A low or
falling reading is the calm, range-contracting market that often precedes a
move. It complements [`Atr`](Indicator-Atr.md): ATR gives the level of
volatility, Chaikin Volatility gives its momentum.
## Common pitfalls
- **Reading it as a volatility level.** It is a *rate of change* — zero means
steady ranges, not zero volatility.
- **Feeding it scalar prices.** It needs the `high`/`low` bar.
## References
Marc Chaikin's Chaikin Volatility; the EMA-of-spread rate-of-change definition
here is the standard one.
## See also
- [Indicator-Atr.md](Indicator-Atr.md) — the level of per-bar volatility.
- [Indicator-TrueRange.md](Indicator-TrueRange.md) — raw single-bar range.
- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.