F4: add StochRSI and Ultimate Oscillator
Completes the F4 family (Stochastic oscillators) end to end: - Rust core: stoch_rsi.rs (Stochastic Oscillator applied to the RSI series, bounded [0,100]) and ultimate_oscillator.rs (Larry Williams' weighted three-timeframe buying-pressure oscillator). Each with a full Indicator impl, runnable doctest and reference / saturation / bounds / warmup / reset / batch==streaming tests. - Python: PyStochRsi / PyUltimateOscillator PyO3 classes + module registration + .pyi stubs (defaults StochRSI=(14,14), UO=(7,14,28)). - Node: explicit StochRsiNode and UltimateOscillatorNode; index.d.ts and index.js updated. - WASM: WasmStochRsi via the scalar macro, explicit WasmUltimateOscillator. - Wiki: Indicator-StochRsi.md and Indicator-UltimateOscillator.md plus rows in Indicators-Overview.md and entries in Home.md. cargo fmt + clippy (core/wickra/data/wasm/node) clean; 278 core tests, 25 data tests and 39 doctests green.
This commit is contained in:
@@ -102,6 +102,8 @@ Rust / Python / Node examples. They are grouped by family, mirroring the
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- [Indicator-Cmo.md](indicators/momentum/Indicator-Cmo.md)
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- [Indicator-Tsi.md](indicators/momentum/Indicator-Tsi.md)
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- [Indicator-Pmo.md](indicators/momentum/Indicator-Pmo.md)
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- [Indicator-StochRsi.md](indicators/momentum/Indicator-StochRsi.md)
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- [Indicator-UltimateOscillator.md](indicators/momentum/Indicator-UltimateOscillator.md)
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**Volatility** — envelope width and per-bar dispersion measures.
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@@ -1,6 +1,6 @@
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# Indicators Overview
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Wickra ships 34 indicators, organised in source under the four classical
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Wickra ships 36 indicators, organised in source under the four classical
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families — trend, momentum, volatility, volume — that map directly to the
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directory structure of `crates/wickra-core/src/indicators/`. The same family
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labels are used here, plus a second-level grouping that reflects how the
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@@ -84,6 +84,8 @@ mental model, though the exact thresholds differ in the literature.
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| `Stochastic` | `%K = (close − low_n)/(high_n − low_n) × 100`, smoothed into `%D`. | `Candle` | `(k, d)` | each in `[0, 100]` | `(k_period=14, d_period=3)` (Python) | `k_period + d_period − 1` | [Indicator-Stochastic.md](indicators/momentum/Indicator-Stochastic.md) |
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| `Mfi` | "Volume-weighted RSI": Wilder smoothing of money-flow ratios. | `Candle` | `f64` | `[0, 100]` | `period = 14` (Python) | `period` | [Indicator-Mfi.md](indicators/momentum/Indicator-Mfi.md) |
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| `Aroon` | Bars-since-high and bars-since-low scaled to `[0, 100]`. | `Candle` | `(up, down)` | each in `[0, 100]` | `period = 14` (Python) | `period + 1` | [Indicator-Aroon.md](indicators/momentum/Indicator-Aroon.md) |
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| `StochRsi` | Stochastic Oscillator applied to the RSI series; sharpens RSI extremes. | `f64` | `f64` | `[0, 100]` | `(rsi_period=14, stoch_period=14)` (Python) | `rsi_period + stoch_period` | [Indicator-StochRsi.md](indicators/momentum/Indicator-StochRsi.md) |
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| `UltimateOscillator` | Larry Williams' weighted three-timeframe buying-pressure oscillator. | `Candle` | `f64` | `[0, 100]` | `(short=7, mid=14, long=28)` (Python) | `max(short,mid,long) + 1` | [Indicator-UltimateOscillator.md](indicators/momentum/Indicator-UltimateOscillator.md) |
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### Unbounded oscillators
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@@ -0,0 +1,165 @@
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# StochRSI
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> Stochastic RSI — the Stochastic Oscillator formula applied to the RSI
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> series, sharpening RSI's overbought/oversold turns.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Momentum |
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| Sub-category | Bounded oscillators (0 … 100) |
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| Input type | `f64` (single close) |
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| Output type | `f64` |
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| Output range | `[0, 100]` |
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| Default parameters | `(rsi_period = 14, stoch_period = 14)` (Python) |
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| Warmup period | `rsi_period + stoch_period` |
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| Interpretation | Where RSI sits in its own recent range; near `0`/`100` = extremes. |
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## Formula
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```
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RSI_t = Rsi(rsi_period) of price
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StochRSI = 100 · (RSI_t − min(RSI, stoch_period)) / (max(RSI, …) − min(RSI, …))
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```
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RSI rarely visits its `0`/`100` extremes — it spends most of its life
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bunched around the middle. StochRSI re-normalises it: it asks where the
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*current* RSI sits within its own high/low range over the last
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`stoch_period` bars. The result swings the full `[0, 100]` width far more
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often than raw RSI, so reversals are easier to spot.
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## Parameters
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| Name | Type | Default | Valid range | Description |
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|----------------|---------|---------------|-------------|-------------|
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| `rsi_period` | `usize` | `14` (Python) | `>= 1` | Period of the underlying RSI. `0` errors with `Error::PeriodZero`. |
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| `stoch_period` | `usize` | `14` (Python) | `>= 1` | Lookback for the high/low range of RSI. `0` errors with `Error::PeriodZero`. |
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The Python binding defaults the pair to `(14, 14)` via
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`#[pyo3(signature = (rsi_period=14, stoch_period=14))]`. Node and WASM
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take both explicitly. The `periods` property returns
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`(rsi_period, stoch_period)`.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/stoch_rsi.rs`:
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```rust
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impl Indicator for StochRsi {
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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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A single `f64` close in, an `Option<f64>` out. Python maps this to
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`float | None` / `numpy.ndarray` (NaN warmup); Node to `number | null` /
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`Array<number>` (NaN warmup).
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## Warmup
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`StochRsi::new(rsi_period, stoch_period).warmup_period()
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== rsi_period + stoch_period`. The inner RSI emits its first value on
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input `rsi_period + 1`; the stochastic window then needs `stoch_period`
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RSI values, so the first non-`None` output lands on input
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`rsi_period + stoch_period`.
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## Edge cases
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- **Flat RSI window.** When every RSI value in the window is equal — for
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example a constant price (RSI pinned at `50`) or a pure trend (RSI
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pinned at `100`) — the range is zero and StochRSI reports the neutral
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`50.0` (`flat_rsi_window_yields_50` and `pure_uptrend_yields_50` pin
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this).
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- **Bounds.** The output is always within `[0, 100]`
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(`output_stays_within_0_100` pins this).
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- **NaN / infinity inputs.** Non-finite inputs are silently dropped; the
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RSI and the window are not advanced.
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- **Reset.** `stoch_rsi.reset()` clears the inner RSI and the window.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Indicator, StochRsi};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut sr = StochRsi::new(14, 14)?;
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let prices: Vec<f64> = (1..=60)
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.map(|i| 100.0 + (f64::from(i) * 0.3).sin() * 10.0)
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.collect();
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let out = sr.batch(&prices);
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println!("warmup_period = {}", sr.warmup_period());
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println!("ready values: {}", out.iter().flatten().count());
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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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warmup_period = 28
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ready values: 33
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```
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The first 27 inputs return `None`; from input 28 onward every output is a
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defined `[0, 100]` value.
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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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sr = ta.StochRSI() # (rsi_period=14, stoch_period=14)
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prices = np.full(40, 100.0) # constant series
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print(sr.batch(prices)[-1]) # flat RSI window -> neutral 50
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```
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Output:
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```
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50.0
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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 sr = new ta.StochRSI(14, 14);
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const prices = Array.from({ length: 60 }, (_, i) => 100 + Math.sin(i * 0.3) * 10);
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console.log('warmupPeriod:', sr.warmupPeriod());
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```
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## Interpretation
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`StochRsi` is read like any `[0, 100]` oscillator, but with tighter
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thresholds because it saturates so readily: above `80` is overbought,
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below `20` oversold, and the `50` line is the midpoint. Because it is two
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oscillators deep, it is *fast and noisy* — excellent for spotting
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short-term turns, poor as a standalone trend filter. Many traders smooth
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it further (an SMA of StochRSI) and trade the crossover.
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## Common pitfalls
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- **Using it as a trend filter.** `StochRsi` whipsaws; confirm with a
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slower indicator before acting on a raw threshold cross.
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- **Forgetting the stacked warmup.** Warmup is `rsi_period + stoch_period`
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— for the default `(14, 14)` that is 28 bars.
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- **Expecting raw-RSI values.** `StochRsi` is a *position within range*,
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not RSI itself; the two are not interchangeable.
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## References
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Tushar Chande and Stanley Kroll, *The New Technical Trader* (1994). The
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implementation is the standard Stochastic-of-RSI; the flat-window
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convention (`50`) matches this library's [`Stochastic`](Indicator-Stochastic.md).
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## See also
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- [Indicator-Rsi.md](Indicator-Rsi.md) — the underlying oscillator.
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- [Indicator-Stochastic.md](Indicator-Stochastic.md) — the same formula on
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price instead of RSI.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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@@ -0,0 +1,179 @@
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# UltimateOscillator
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> Ultimate Oscillator — Larry Williams' momentum oscillator that blends
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> three lookback periods into one bounded `[0, 100]` reading.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Momentum |
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| Sub-category | Bounded oscillators (0 … 100) |
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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]` |
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| Default parameters | `(short = 7, mid = 14, long = 28)` (Python) |
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| Warmup period | `max(short, mid, long) + 1` |
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| Interpretation | Weighted three-timeframe buying pressure; `50` is neutral. |
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## Formula
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```
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true_low_t = min(low_t, close_{t−1})
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BP_t = close_t − true_low_t (buying pressure)
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TR_t = max(high_t, close_{t−1}) − true_low_t (true range)
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avg_n = Σ BP over n / Σ TR over n
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UO = 100 · (4·avg_short + 2·avg_mid + avg_long) / 7
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```
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A single-timeframe momentum oscillator can show false divergences when
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its lookback does not match the swing being measured. The Ultimate
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Oscillator averages buying pressure over *three* windows and weights the
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fastest (`4×`) above the medium (`2×`) and slow (`1×`), which damps those
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false signals while keeping the response quick.
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## Parameters
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| Name | Type | Default | Valid range | Description |
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|---------|---------|---------------|-------------|-------------|
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| `short` | `usize` | `7` (Python) | `>= 1` | Fast lookback (weight `4`). `0` errors with `Error::PeriodZero`. |
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| `mid` | `usize` | `14` (Python) | `>= 1` | Medium lookback (weight `2`). |
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| `long` | `usize` | `28` (Python) | `>= 1` | Slow lookback (weight `1`). |
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The Python binding defaults the trio to `(7, 14, 28)` via
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`#[pyo3(signature = (short=7, mid=14, long=28))]`. Node and WASM take all
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three explicitly. The `periods` property returns `(short, mid, long)`.
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`UltimateOscillator::classic()` is the conventional `(7, 14, 28)`.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/ultimate_oscillator.rs`:
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```rust
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impl Indicator for UltimateOscillator {
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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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`UltimateOscillator` is a **candle-input** indicator: it reads `high`,
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`low` and `close`. In Python the streaming `update` accepts a 6-tuple or
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a dict; the batch helper takes `high`, `low`, `close` numpy arrays. Node
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and WASM expose `update(high, low, close)` and `batch(high, low, close)`.
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## Warmup
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`warmup_period() == max(short, mid, long) + 1`. The first bar has no
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previous close, so the first `BP`/`TR` pair forms on bar 2; the longest
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window must then fill, so the first non-`None` output lands on input
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`max(short, mid, long) + 1`.
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## Edge cases
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- **Pure uptrend.** Bars that each close higher have `BP == TR`, so every
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ratio is `1` and UO saturates at `100`
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(`pure_uptrend_saturates_at_100` pins this).
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- **Pure downtrend.** Bars that each close lower have `BP == 0`, so UO is
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`0` (`pure_downtrend_saturates_at_0` pins this).
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- **Flat market.** Identical bars have zero true range; each window
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contributes the neutral ratio `0.5`, so UO reads `50`
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(`flat_market_reads_50` pins this).
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- **Bounds.** The output is always within `[0, 100]`
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(`output_stays_within_0_100` pins this).
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- **Candle validation.** `Candle::new` rejects NaN/infinite fields, so
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`update` never sees an invalid bar.
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- **Reset.** `uo.reset()` clears the previous close, the rolling window
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and all six running sums.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Candle, Indicator, UltimateOscillator};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut uo = UltimateOscillator::classic(); // (7, 14, 28)
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// 30 flat candles, each closing one tick higher than the last.
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let candles: Vec<Candle> = (0..40)
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.map(|i| {
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let p = 100.0 + f64::from(i);
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Candle::new(p, p, p, p, 1.0, i64::from(i)).unwrap()
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})
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.collect();
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let out = uo.batch(&candles);
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println!("warmup_period = {}", uo.warmup_period());
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println!("last = {:?}", out.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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warmup_period = 29
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last = Some(100.0)
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```
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Every bar closes higher with `BP == TR`, so UO saturates at `100`. This
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matches the `pure_uptrend_saturates_at_100` test in
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`crates/wickra-core/src/indicators/ultimate_oscillator.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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uo = ta.UltimateOscillator() # (7, 14, 28)
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high = np.full(40, 100.0)
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low = np.full(40, 100.0)
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close = np.full(40, 100.0) # perfectly flat market
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print(uo.batch(high, low, close)[-1])
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```
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Output:
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```
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50.0
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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 uo = new ta.UltimateOscillator(7, 14, 28);
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const flat = Array.from({ length: 40 }, () => 100);
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console.log(uo.batch(flat, flat, flat).at(-1)); // 50
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```
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## Interpretation
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`UltimateOscillator` is read with the usual overbought/oversold lens —
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above `70` is stretched, below `30` is washed out — but Larry Williams'
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canonical signal is *divergence with confirmation*: price makes a new
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extreme while UO does not, then UO breaks the level of the divergence.
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The three-timeframe blend makes those divergences more reliable than a
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single-period oscillator.
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## Common pitfalls
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- **Feeding it scalar prices.** It needs `high`/`low`/`close`; it takes a
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`Candle`, not an `f64`.
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- **Reordering the periods.** The `4 / 2 / 1` weights assume `short` is
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the fastest window — keep `short < mid < long`. Any positive periods
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are accepted, but mis-ordering them inverts the intended weighting.
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## References
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Larry Williams, "The Ultimate Oscillator", *Technical Analysis of Stocks
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& Commodities* (1985). The buying-pressure / true-range definition and the
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`4 / 2 / 1` weighting follow Williams' original.
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## See also
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- [Indicator-Stochastic.md](Indicator-Stochastic.md) — single-timeframe
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bounded oscillator.
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- [Indicator-Rsi.md](Indicator-Rsi.md) — the canonical momentum oscillator.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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Reference in New Issue
Block a user