F9: add Accumulation/Distribution Line and Volume-Price Trend
Completes the F9 family (Cumulative volume) end to end: - Rust core: adl.rs (Accumulation/Distribution Line — cumulative range-weighted volume) and vpt.rs (Volume-Price Trend — cumulative volume scaled by percentage price change). Each with a full Indicator impl, runnable doctest and reference / cumulative-property / warmup / reset / batch==streaming tests. - Python: PyAdl / PyVolumePriceTrend PyO3 classes + module registration + .pyi stubs (no parameters, like OBV/VWAP). - Node: explicit AdlNode and VolumePriceTrendNode; index.d.ts and index.js updated. - WASM: WasmAdl and WasmVolumePriceTrend. - Wiki: Indicator-Adl.md and Indicator-VolumePriceTrend.md plus rows in Indicators-Overview.md and entries in Home.md. cargo fmt + clippy (core/wickra/data/wasm/node) clean; 373 core tests, 25 data tests and 53 doctests green.
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# ADL
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> Accumulation/Distribution Line — a cumulative volume-flow line that
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> weights each bar's volume by where its close fell within the range.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Volume |
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| Sub-category | Cumulative |
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| Input type | `Candle` (uses `high`, `low`, `close`, `volume`) |
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| Output type | `f64` |
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| Output range | unbounded (drifts with cumulative volume) |
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| Default parameters | none (no parameters) |
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| Warmup period | `1` |
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| Interpretation | Running buying/selling pressure; slope and divergence matter. |
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## Formula
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```
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MFM_t = ((close − low) − (high − close)) / (high − low) (money-flow multiplier, −1..+1)
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MFV_t = MFM_t · volume_t (money-flow volume)
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ADL_t = ADL_{t−1} + MFV_t
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```
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The money-flow multiplier asks *where in the bar's range did price
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close?* A close on the high gives `+1` (full accumulation), on the low
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`−1` (full distribution), in the middle `0`. Scaling by volume and
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running the cumulative total gives a line whose **slope** reflects
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sustained buying or selling pressure. A bar with `high == low` carries no
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positional information and contributes `0`.
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## Parameters
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`ADL` takes **no parameters** — `Adl::new()` in Rust, `wickra.ADL()` in
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Python, `new ta.ADL()` in Node.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/adl.rs`:
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```rust
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impl Indicator for Adl {
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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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`ADL` is a **candle-input** indicator: it reads `high`, `low`, `close` and
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`volume`. In Python the streaming `update` accepts a 6-tuple or a dict;
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the batch helper takes `high`, `low`, `close`, `volume` numpy arrays. Node
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and WASM expose `update(high, low, close, volume)` and the matching
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`batch`.
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## Warmup
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`Adl::new().warmup_period() == 1`. ADL is cumulative — it emits a value
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from the very first candle.
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## Edge cases
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- **Zero-range bar.** A bar with `high == low` contributes `0` to the line
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(`zero_range_bar_contributes_nothing` pins this).
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- **Close at the high.** Every bar closing on its high has `MFM = +1`, so
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ADL grows by exactly `volume` each bar
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(`close_at_high_accumulates_full_volume` pins this).
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- **Candle validation.** `Candle::new` rejects invalid bars upstream.
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- **Reset.** `adl.reset()` returns the running total to `0`.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Candle, Indicator, Adl};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut adl = Adl::new();
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let out = adl.batch(&[
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Candle::new(8.0, 10.0, 8.0, 10.0, 100.0, 0)?, // close at high
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Candle::new(10.0, 12.0, 8.0, 9.0, 200.0, 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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[Some(100.0), Some(0.0)]
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```
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Bar 1 closes at its high (`MFM = +1`), adding `+100`. Bar 2 has
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`MFM = ((9−8)−(12−9))/4 = −0.5`, adding `−100`, so the line returns to
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`0`. This matches the `reference_values` test in
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`crates/wickra-core/src/indicators/adl.rs`.
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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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adl = ta.ADL()
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high = np.array([10.0, 12.0])
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low = np.array([8.0, 8.0])
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close = np.array([10.0, 9.0])
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volume = np.array([100.0, 200.0])
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print(adl.batch(high, low, close, volume))
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```
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Output:
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```
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[100. 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 adl = new ta.ADL();
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console.log(adl.batch([10, 12], [8, 8], [10, 9], [100, 200]));
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```
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Output:
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```
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[ 100, 0 ]
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```
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## Interpretation
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`Adl` is read by slope and by divergence, never by absolute level (the
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total drifts arbitrarily with cumulative volume). A rising ADL confirms
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that an up-move is backed by accumulation; a *falling* ADL while price
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rises is a bearish divergence — the rally is not being bought into.
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[`ChaikinOscillator`](Indicator-ChaikinOscillator.md) is the standard way
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to turn the ADL into a bounded, tradeable oscillator.
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## Common pitfalls
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- **Reading the absolute value.** Only the slope and divergences are
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meaningful; the level depends on where you started the stream.
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- **Feeding it scalar prices.** It needs the full OHLCV bar.
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## References
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Marc Chaikin's Accumulation/Distribution Line; the money-flow-multiplier
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formulation here matches the standard definition (StockCharts, TA-Lib's
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`AD`).
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## See also
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- [Indicator-Obv.md](Indicator-Obv.md) — cumulative *signed* volume.
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- [Indicator-ChaikinOscillator.md](Indicator-ChaikinOscillator.md) — an
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oscillator built on the ADL.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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