F13a: add Accelerator Oscillator, Balance of Power, Choppiness Index and Vertical Horizontal Filter
First half of the eight indicators that fill out the new family taxonomy. - Rust core: accelerator_oscillator.rs (AcceleratorOscillator — AO minus a short SMA of itself), balance_of_power.rs (BalanceOfPower — per-bar (close-open)/(high-low)), choppiness_index.rs (ChoppinessIndex — summed true range over the high-low span, log-scaled) and vertical_horizontal_filter.rs (VerticalHorizontalFilter — net move over total move). 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 (BalanceOfPower carries an explicit open column; VHF rides the scalar macros) 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 in F13c once F13b's four indicators are in. cargo fmt + clippy (core/wickra/data/wasm/node) clean; 481 core tests, 25 data tests and 70 doctests green.
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# AcceleratorOscillator
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> Accelerator Oscillator (AC) — Bill Williams' measure of how fast
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> momentum itself is changing.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Price Oscillators |
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| Input type | `Candle` (uses `high`, `low`) |
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| Output type | `f64` |
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| Output range | unbounded around zero |
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| Default parameters | `ao_fast = 5`, `ao_slow = 34`, `signal_period = 5` (Python) |
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| Warmup period | `ao_slow + signal_period − 1` |
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| Interpretation | Acceleration of momentum; zero-line crossings lead the Awesome Oscillator. |
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## Formula
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```
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AO = SMA(median, ao_fast) − SMA(median, ao_slow) (the Awesome Oscillator)
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AC = AO − SMA(AO, signal_period)
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```
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Where the [`AwesomeOscillator`](Indicator-AwesomeOscillator.md) measures
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momentum, the Accelerator measures the *change* in momentum — it is the AO
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minus a short moving average of itself. Because acceleration leads speed, the
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`AC` tends to turn before the `AO` does. Bill Williams' classic configuration
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is the `(5, 34)` AO with a `5`-period signal average.
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## Parameters
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- `ao_fast`, `ao_slow` — the underlying Awesome Oscillator periods (`5`, `34`).
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- `signal_period` — the moving average of the AO subtracted from it (`5`).
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`AcceleratorOscillator::classic()` returns the `(5, 34, 5)` configuration.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/accelerator_oscillator.rs`:
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```rust
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impl Indicator for AcceleratorOscillator {
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type Input = Candle;
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type Output = f64;
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// update(&mut self, input: Candle) -> Option<f64>
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}
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```
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It is a **candle-input** indicator — the inner Awesome Oscillator reads the
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median price `(high + low) / 2`. Python's streaming `update` accepts a 6-tuple
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or a dict; the batch helper takes `high`, `low` numpy arrays. Node and WASM
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expose `update(high, low)` and the matching `batch`.
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## Warmup
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`AcceleratorOscillator::classic().warmup_period() == 38`. The AO first emits at
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candle `ao_slow`; the signal average then needs `signal_period` AO values.
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## Edge cases
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- **Flat market.** A flat series gives `AO = 0`, so `AC = 0` throughout.
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- **`ao_fast >= ao_slow`.** Rejected at construction.
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- **Reset.** `ac.reset()` clears the AO and the signal average.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Candle, Indicator, AcceleratorOscillator};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut ac = AcceleratorOscillator::classic();
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let candles: Vec<Candle> = (0..60)
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.map(|i| Candle::new(10.0, 11.0, 9.0, 10.0, 1.0, i).unwrap())
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.collect();
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println!("{:?}", ac.batch(&candles).last().unwrap());
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Ok(())
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}
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```
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Output:
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```
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Some(0.0)
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```
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A flat market produces a flat AO and therefore a zero Accelerator.
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### Python
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```python
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import numpy as np
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import wickra as ta
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ac = ta.AcceleratorOscillator(5, 34, 5)
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n = 60
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print(ac.batch(np.full(n, 11.0), np.full(n, 9.0))[-1])
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```
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Output:
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```
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0.0
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```
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### Node
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```javascript
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const ta = require('wickra');
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const ac = new ta.AcceleratorOscillator(5, 34, 5);
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const out = ac.batch(Array(60).fill(11), Array(60).fill(9));
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console.log(out[out.length - 1]);
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```
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Output:
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```
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0
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```
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## Interpretation
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Trade the Accelerator like a momentum-acceleration gauge: bars rising above
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the zero line mean momentum is building, bars falling below mean it is fading.
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Because it leads the Awesome Oscillator, a colour change in the AC is an early
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warning that the AO — and price momentum — is about to turn.
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## Common pitfalls
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- **Reading the level.** Only the sign and the slope matter; the magnitude
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scales with the instrument.
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- **Feeding it scalar prices.** It needs the `high`/`low` bar.
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## References
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Bill Williams' Accelerator Oscillator, from *Trading Chaos*.
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## See also
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- [Indicator-AwesomeOscillator.md](Indicator-AwesomeOscillator.md) — the
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momentum oscillator the Accelerator is built on.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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# BalanceOfPower
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> Balance of Power (BOP) — where the bar closed within its range relative
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> to where it opened.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Price Oscillators |
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| Input type | `Candle` (uses `open`, `high`, `low`, `close`) |
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| Output type | `f64` |
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| Output range | `[−1, +1]` |
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| Default parameters | none (no parameters) |
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| Warmup period | `1` |
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| Interpretation | Intrabar buyer/seller control; `+1` buyers, `−1` sellers. |
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## Formula
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```
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BOP = (close − open) / (high − low)
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```
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Balance of Power asks a single question per bar: did buyers or sellers win it?
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A bar that opened on its low and closed on its high scores `+1` (buyers in
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total control); the mirror image scores `−1`. It is a stateless per-bar
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reading. A zero-range bar carries no information and yields `0`.
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## Parameters
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`BalanceOfPower` takes **no parameters** — `BalanceOfPower::new()` in Rust,
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`wickra.BalanceOfPower()` in Python, `new ta.BalanceOfPower()` in Node.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/balance_of_power.rs`:
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```rust
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impl Indicator for BalanceOfPower {
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type Input = Candle;
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type Output = f64;
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// update(&mut self, input: Candle) -> Option<f64>
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}
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```
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`BalanceOfPower` is a **candle-input** indicator that reads all four of
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`open`, `high`, `low`, `close`. Python's streaming `update` accepts a 6-tuple
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or a dict; the batch helper takes `open`, `high`, `low`, `close` numpy arrays.
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Node and WASM expose `update(open, high, low, close)` and the matching
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`batch`.
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## Warmup
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`BalanceOfPower::new().warmup_period() == 1`. It is a stateless per-bar
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transform — it emits a value from the very first candle.
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## Edge cases
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- **Zero-range bar.** `high == low` yields `0` instead of dividing by zero.
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- **Close on high, open on low.** Scores exactly `+1`.
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- **Reset.** `bop.reset()` only clears the `is_ready` flag.
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## Examples
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### Rust
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```rust
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use wickra::{Candle, Indicator, BalanceOfPower};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut bop = BalanceOfPower::new();
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// open 10, high 14, low 10, close 12 -> (12 - 10) / (14 - 10) = 0.5.
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let v = bop.update(Candle::new(10.0, 14.0, 10.0, 12.0, 1.0, 0)?);
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println!("{:?}", v);
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Ok(())
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}
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```
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Output:
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```
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Some(0.5)
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```
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### Python
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```python
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import numpy as np
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import wickra as ta
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bop = ta.BalanceOfPower()
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print(bop.batch(
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np.array([10.0]), np.array([14.0]), np.array([10.0]), np.array([12.0])
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))
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```
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Output:
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```
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[0.5]
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```
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### Node
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```javascript
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const ta = require('wickra');
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const bop = new ta.BalanceOfPower();
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console.log(bop.batch([10], [14], [10], [12]));
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```
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Output:
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```
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[ 0.5 ]
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```
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## Interpretation
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A BOP holding above zero says buyers are consistently winning the bars — a
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healthy uptrend; below zero is the seller's mirror. Because the raw per-bar
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value is noisy, it is commonly smoothed with a short moving average before
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trading the zero-line crossings, or read for divergence against price.
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## Common pitfalls
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- **Using the raw value as a trend signal.** Per-bar BOP whipsaws; smooth it.
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- **Feeding it scalar prices.** It needs the full OHLC bar — including `open`.
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## References
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Balance of Power, popularised by Igor Livshin; the `(close − open) /
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(high − low)` definition is the standard one.
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## See also
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- [Indicator-AwesomeOscillator.md](Indicator-AwesomeOscillator.md) — another
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Bill Williams-era price oscillator.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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# ChoppinessIndex
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> Choppiness Index — is the market trending or just chopping sideways?
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Trend & Directional |
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| Input type | `Candle` (uses `high`, `low`, `close`) |
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| Output type | `f64` |
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| Output range | `[0, 100]` (typical) |
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| Default parameters | `period = 14` (Python) |
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| Warmup period | `period` |
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| Interpretation | High = choppy/ranging, low = trending; `61.8` / `38.2` thresholds. |
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## Formula
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```
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CI = 100 · log10( Σ(TR, n) / (highest_high(n) − lowest_low(n)) ) / log10(n)
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```
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The ratio compares the distance price *actually travelled* (the summed true
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range) with the *net ground it covered* (the high-low span of the window). A
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clean trend travels almost exactly its span, so the ratio is near `1` and `CI`
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near `0`; a choppy market criss-crosses far more than its span, so the ratio
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is large and `CI` climbs toward `100`. The conventional reading is `CI > 61.8`
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ranging, `CI < 38.2` trending.
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## Parameters
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`period` — the lookback window. Must be at least `2` (the `log10(period)`
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denominator is zero for `period == 1`). The Python binding defaults it to `14`.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/choppiness_index.rs`:
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```rust
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impl Indicator for ChoppinessIndex {
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type Input = Candle;
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type Output = f64;
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// update(&mut self, input: Candle) -> Option<f64>
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}
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```
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`ChoppinessIndex` is a **candle-input** indicator that reads `high`, `low` and
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`close` (the close drives the true range across bar gaps). Python's streaming
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`update` accepts a 6-tuple or a dict; the batch helper takes `high`, `low`,
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`close` numpy arrays. Node and WASM expose `update(high, low, close)` and the
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matching `batch`.
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## Warmup
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`ChoppinessIndex::new(14).warmup_period() == 14`. The first value lands once
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the window holds a full `period` bars.
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## Edge cases
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- **Flat window.** A window with `high == low` everywhere has a zero span;
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`CI` is defined as `100` (maximal choppiness).
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- **Steady trend.** A one-directional march reads well below `50`.
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- **`period < 2`.** Rejected at construction.
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- **Reset.** `ci.reset()` clears the true-range and high/low windows.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Candle, Indicator, ChoppinessIndex};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut ci = ChoppinessIndex::new(2)?;
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// Two H=11 L=9 C=10 bars: ΣTR = 4, span = 2 -> CI = 100·log10(2)/log10(2).
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let out = ci.batch(&[
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Candle::new(10.0, 11.0, 9.0, 10.0, 1.0, 0)?,
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Candle::new(10.0, 11.0, 9.0, 10.0, 1.0, 1)?,
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]);
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println!("{:?}", out);
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Ok(())
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}
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```
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Output:
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```
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[None, Some(100.0)]
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```
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### Python
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```python
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import numpy as np
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import wickra as ta
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ci = ta.ChoppinessIndex(2)
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high = np.array([11.0, 11.0])
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low = np.array([9.0, 9.0])
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close = np.array([10.0, 10.0])
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print(ci.batch(high, low, close))
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```
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Output:
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```
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[ nan 100.]
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```
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### Node
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```javascript
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const ta = require('wickra');
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const ci = new ta.ChoppinessIndex(2);
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console.log(ci.batch([11, 11], [9, 9], [10, 10]));
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```
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Output:
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```
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[ NaN, 100 ]
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```
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## Interpretation
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The Choppiness Index is not directional — it does not say *which way* price is
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going, only *whether* it is going anywhere. Use it as a regime filter: above
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`61.8` favour mean-reversion / range tactics; below `38.2` favour
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trend-following. It pairs naturally with a directional indicator that picks
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the side once a trend is confirmed.
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## Common pitfalls
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- **Expecting a direction.** It has none — combine it with a trend indicator.
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- **Tiny periods.** `period = 2` is allowed but noisy; `14` is conventional.
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## References
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E. W. Dreiss' Choppiness Index; the summed-true-range formulation here is the
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standard one.
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## See also
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- [Indicator-VerticalHorizontalFilter.md](Indicator-VerticalHorizontalFilter.md)
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— the same trending-vs-ranging question on an inverted scale.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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@@ -0,0 +1,140 @@
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# VerticalHorizontalFilter
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> Vertical Horizontal Filter (VHF) — net distance covered divided by total
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> distance walked; a trend-versus-range gauge.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Trend & Directional |
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| Input type | `f64` (close price) |
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| Output type | `f64` |
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| Output range | `[0, 1]` |
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| Default parameters | `period = 28` (Python) |
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| Warmup period | `period + 1` |
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| Interpretation | Near `1` = trending, near `0` = choppy. |
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## Formula
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```
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VHF = (highest_close(n) − lowest_close(n)) / Σ|close − close_prev|(n)
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```
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The numerator is the *net* distance price covered over the window; the
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denominator is the *total* distance it walked. Their ratio lives in `[0, 1]`:
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a clean trend walks almost only in its net direction, so `VHF` approaches `1`;
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a choppy market doubles back constantly, inflating the denominator and pushing
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`VHF` toward `0`. It answers the same question as the
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[`ChoppinessIndex`](Indicator-ChoppinessIndex.md) on an inverted scale.
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## Parameters
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`period` — the lookback window. The Python binding defaults it to `28`; the
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Rust and Node constructors require it explicitly.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/vertical_horizontal_filter.rs`:
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```rust
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impl Indicator for VerticalHorizontalFilter {
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type Input = f64;
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type Output = f64;
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// update(&mut self, input: f64) -> Option<f64>
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}
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```
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`VerticalHorizontalFilter` is a **scalar** indicator: it consumes one `f64`
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close per step. Because `Input = f64` it can sit inside a
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[`Chain`](../../Indicator-Chaining.md).
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||||
## Warmup
|
||||
|
||||
`VerticalHorizontalFilter::new(28).warmup_period() == 29`. The high/low window
|
||||
fills at `period` closes, but the `period`-th difference needs one extra input
|
||||
because the first close has nothing to diff against.
|
||||
|
||||
## Edge cases
|
||||
|
||||
- **Flat series.** A window that walked nowhere has a zero denominator; `VHF`
|
||||
is defined as `0`.
|
||||
- **Pure trend.** A series rising by a fixed step reads `(period − 1) / period`.
|
||||
- **Choppy series.** An oscillating series reads near `0`.
|
||||
- **Reset.** `vhf.reset()` clears the close and difference windows.
|
||||
|
||||
## Examples
|
||||
|
||||
### Rust
|
||||
|
||||
```rust
|
||||
use wickra::{BatchExt, Indicator, VerticalHorizontalFilter};
|
||||
|
||||
fn main() -> Result<(), Box<dyn std::error::Error>> {
|
||||
let mut vhf = VerticalHorizontalFilter::new(5)?;
|
||||
// Closes 1..6: each diff is 1 (Σ = 5), the 5-close span is 4 -> 4/5.
|
||||
let out = vhf.batch(&[1.0, 2.0, 3.0, 4.0, 5.0, 6.0]);
|
||||
println!("{:?}", out);
|
||||
Ok(())
|
||||
}
|
||||
```
|
||||
|
||||
Output:
|
||||
|
||||
```
|
||||
[None, None, None, None, None, Some(0.8)]
|
||||
```
|
||||
|
||||
### Python
|
||||
|
||||
```python
|
||||
import numpy as np
|
||||
import wickra as ta
|
||||
|
||||
vhf = ta.VerticalHorizontalFilter(5)
|
||||
print(vhf.batch(np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0])))
|
||||
```
|
||||
|
||||
Output:
|
||||
|
||||
```
|
||||
[ nan nan nan nan nan 0.8]
|
||||
```
|
||||
|
||||
### Node
|
||||
|
||||
```javascript
|
||||
const ta = require('wickra');
|
||||
const vhf = new ta.VerticalHorizontalFilter(5);
|
||||
console.log(vhf.batch([1, 2, 3, 4, 5, 6]));
|
||||
```
|
||||
|
||||
Output:
|
||||
|
||||
```
|
||||
[ NaN, NaN, NaN, NaN, NaN, 0.8 ]
|
||||
```
|
||||
|
||||
## Interpretation
|
||||
|
||||
Use the VHF as a regime filter: a high, rising VHF says a trend is in force —
|
||||
favour trend-following entries; a low VHF says price is ranging — favour
|
||||
mean-reversion. A VHF turning down from a high level is an early hint the
|
||||
trend is losing its grip.
|
||||
|
||||
## Common pitfalls
|
||||
|
||||
- **Expecting a direction.** Like the Choppiness Index it is non-directional —
|
||||
pair it with a trend indicator.
|
||||
- **Reading a single bar.** It is a regime gauge; read its level and slope.
|
||||
|
||||
## References
|
||||
|
||||
Adam White's Vertical Horizontal Filter; the net-over-total formulation here
|
||||
is the standard one.
|
||||
|
||||
## See also
|
||||
|
||||
- [Indicator-ChoppinessIndex.md](Indicator-ChoppinessIndex.md) — the same
|
||||
trending-vs-ranging question on an inverted `[0, 100]` scale.
|
||||
- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
|
||||
Reference in New Issue
Block a user