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wickra/docs/wiki/indicators/trend-directional/Indicator-ChoppinessIndex.md
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kingchenc d2f99efd78 F13c: restructure the indicator catalogue into eight families
The original taxonomy was four classical families plus a statistics group,
with the F1-F12 expansion slotted in as sub-categories. This regroups the
whole 71-indicator catalogue into eight top-level families, each with at
least five members:

  Moving Averages (12), Momentum Oscillators (13), Trend & Directional (9),
  Price Oscillators (5), Volatility & Bands (12), Trailing Stops (5),
  Volume (9), Price Statistics (7).

- Wiki: docs/wiki/indicators/ reorganised into eight family folders; all 71
  indicator pages moved with `git mv`. Every internal cross-link is
  normalised to `../<family>/Indicator-X.md`, each page's `Family` field is
  set to its new family, and two pre-existing `../Indicator-Chaining.md`
  links (should have been `../../`) are corrected. A link check confirms
  every relative wiki link resolves.
- Indicators-Overview.md fully rewritten around the eight families;
  Home.md indicator reference and the README family table follow suit.
- Warmup-Periods.md gains the eight F13 indicators; CHANGELOG records the
  46-indicator expansion (25 -> 71) and the eight-family taxonomy.
- Tests: Node indicators.test.js and Python test_new_indicators.py cover
  all eight new indicators (Node 91/91, Python 117/117 green).

cargo fmt + clippy (core/wickra/data/wasm/node) clean; 508 core tests,
25 data tests and 74 doctests green.
2026-05-22 21:21:56 +02:00

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# ChoppinessIndex
> Choppiness Index — is the market trending or just chopping sideways?
## Quick reference
| Field | Value |
|-------|-------|
| Family | Trend & Directional |
| Input type | `Candle` (uses `high`, `low`, `close`) |
| Output type | `f64` |
| Output range | `[0, 100]` (typical) |
| Default parameters | `period = 14` (Python) |
| Warmup period | `period` |
| Interpretation | High = choppy/ranging, low = trending; `61.8` / `38.2` thresholds. |
## Formula
```
CI = 100 · log10( Σ(TR, n) / (highest_high(n) lowest_low(n)) ) / log10(n)
```
The ratio compares the distance price *actually travelled* (the summed true
range) with the *net ground it covered* (the high-low span of the window). A
clean trend travels almost exactly its span, so the ratio is near `1` and `CI`
near `0`; a choppy market criss-crosses far more than its span, so the ratio
is large and `CI` climbs toward `100`. The conventional reading is `CI > 61.8`
ranging, `CI < 38.2` trending.
## Parameters
`period` — the lookback window. Must be at least `2` (the `log10(period)`
denominator is zero for `period == 1`). The Python binding defaults it to `14`.
## Inputs / Outputs
From `crates/wickra-core/src/indicators/choppiness_index.rs`:
```rust
impl Indicator for ChoppinessIndex {
type Input = Candle;
type Output = f64;
// update(&mut self, input: Candle) -> Option<f64>
}
```
`ChoppinessIndex` is a **candle-input** indicator that reads `high`, `low` and
`close` (the close drives the true range across bar gaps). Python's streaming
`update` accepts a 6-tuple or a dict; the batch helper takes `high`, `low`,
`close` numpy arrays. Node and WASM expose `update(high, low, close)` and the
matching `batch`.
## Warmup
`ChoppinessIndex::new(14).warmup_period() == 14`. The first value lands once
the window holds a full `period` bars.
## Edge cases
- **Flat window.** A window with `high == low` everywhere has a zero span;
`CI` is defined as `100` (maximal choppiness).
- **Steady trend.** A one-directional march reads well below `50`.
- **`period < 2`.** Rejected at construction.
- **Reset.** `ci.reset()` clears the true-range and high/low windows.
## Examples
### Rust
```rust
use wickra::{BatchExt, Candle, Indicator, ChoppinessIndex};
fn main() -> Result<(), Box<dyn std::error::Error>> {
let mut ci = ChoppinessIndex::new(2)?;
// Two H=11 L=9 C=10 bars: ΣTR = 4, span = 2 -> CI = 100·log10(2)/log10(2).
let out = ci.batch(&[
Candle::new(10.0, 11.0, 9.0, 10.0, 1.0, 0)?,
Candle::new(10.0, 11.0, 9.0, 10.0, 1.0, 1)?,
]);
println!("{:?}", out);
Ok(())
}
```
Output:
```
[None, Some(100.0)]
```
### Python
```python
import numpy as np
import wickra as ta
ci = ta.ChoppinessIndex(2)
high = np.array([11.0, 11.0])
low = np.array([9.0, 9.0])
close = np.array([10.0, 10.0])
print(ci.batch(high, low, close))
```
Output:
```
[ nan 100.]
```
### Node
```javascript
const ta = require('wickra');
const ci = new ta.ChoppinessIndex(2);
console.log(ci.batch([11, 11], [9, 9], [10, 10]));
```
Output:
```
[ NaN, 100 ]
```
## Interpretation
The Choppiness Index is not directional — it does not say *which way* price is
going, only *whether* it is going anywhere. Use it as a regime filter: above
`61.8` favour mean-reversion / range tactics; below `38.2` favour
trend-following. It pairs naturally with a directional indicator that picks
the side once a trend is confirmed.
## Common pitfalls
- **Expecting a direction.** It has none — combine it with a trend indicator.
- **Tiny periods.** `period = 2` is allowed but noisy; `14` is conventional.
## References
E. W. Dreiss' Choppiness Index; the summed-true-range formulation here is the
standard one.
## See also
- [Indicator-VerticalHorizontalFilter.md](../trend-directional/Indicator-VerticalHorizontalFilter.md)
— the same trending-vs-ranging question on an inverted scale.
- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.