# Average Directional Index Rating (ADXR)

`D07-F02-A09` · Technical Indicators → Trend Systems · archetype `series-transform` · difficulty 2/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/technical-indicators/trend-systems/average-directional-index-rating-adxr/
Agent skill: `npx skills add IslamBaraka90/Fintech-Algorithms-Library` — https://docs.thefintechbuilder.com/guides/agent-skill/

## Install and import

```bash
npm install fintech-algorithms
```

```ts
import { averageDirectionalIndexRatingAdxr } from "fintech-algorithms/technical-indicators/trend-systems/average-directional-index-rating-adxr";
```

## Signature

```ts
averageDirectionalIndexRatingAdxr(input)
```

Runs the Wilder directional-movement system over the bars and returns the smoothed `plus_di`, `minus_di` and `adx` lines together with `adxr`, the average of the current `adx` and the `adx` from `period` bars earlier.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `TopicInput` | yes | `bars` is the OHLCV series, validated for finite prices, strictly increasing `timestamp`, a single adjustment `basis`, non-negative `volume`, and a high and low that bracket the other prices. From `parameters` this topic reads only `period` (integer, minimum 2, default 14), which drives the Wilder smoothing of true range and directional movement and also sets the ADXR lookback. |

## Returns

`TopicResult`

`series` and `latest` carry `plus_di`, `minus_di`, `adx` and `adxr`. Each line has its own warm-up, so the four do not start on the same bar.

## Warm-up

The first `period bars (14 by default)` positions are `null`. With the default period every series is null through index 13. `plus_di` and `minus_di` first resolve at index 14, so `ready_at` is 14; `adx` starts at index 27 and `adxr` at index 41, and both stay null until then.

## Errors

- When `parameters.period` is present but is not an integer of at least 2 — throws Error
- When `bars` is empty, or a bar has a non-finite price, a negative volume, a timestamp not greater than the previous one, or a high below its open, low, or close — throws Error

## Complexity

Time `O(n)`, space `O(n)`.

## Worked example

Captured by running this function on the input its own test provides. Real output of real code — but not asserted against a published figure.

### Input

`input`:

```json
{
  "bars": [
    {
      "timestamp": "2024-01-02",
      "basis": "synthetic-unadjusted",
      "open": 100,
      "high": 101.45,
      "low": 98.695,
      "close": 100,
      "volume": 750000,
      "benchmark": 200
    },
    {
      "timestamp": "2024-01-03",
      "basis": "synthetic-unadjusted",
      "open": 101.49111452,
      "high": 103.38381693,
      "low": 100.05480022,
      "close": 101.78791214,
      "volume": 795117,
      "benchmark": 200.56326135
    },
    {
      "timestamp": "2024-01-04",
      "basis": "synthetic-unadjusted",
      "open": 102.45519048,
      "high": 104.6701838,
      "low": 100.91147007,
      "close": 102.9549389,
      "volume": 840234,
      "benchmark": 201.11020913
    }
  ],
  "parameters": {}
}
```

### Call

```ts
averageDirectionalIndexRatingAdxr(input)
```

### Returns

object with 9 fields: topic_id, title, state, ready, ready_at, series, latest, parameters, …

```json
{
  "topic_id": "D07-F02-A09",
  "title": "Average Directional Index Rating (ADXR)",
  "state": "calculated",
  "ready": true,
  "ready_at": 14,
  "series": {
    "plus_di": [null, null, null, null, null, null],
    "minus_di": [null, null, null, null, null, null],
    "adx": [null, null, null, null, null, null],
    "adxr": [null, null, null, null, null, null]
  },
  "latest": {
    "plus_di": 7.883000058107942,
    "minus_di": 17.582637107405173,
    "adx": 21.37786648985954,
    "adxr": 21.42643518653003
  },
  "parameters": {},
  "diagnostics": {
    "causal": true,
    "input_count": 96
  }
}
```

## Verification and provenance

Tier: **verified** (via E).

The worked example below is the figure published in this algorithm's article, replayed and asserted by the test suite on every build. The arithmetic cannot drift without the build failing.

Both tiers guarantee the signature. Full explanation: https://docs.thefintechbuilder.com/guides/verification/

Generated from the docs.json payload shipped inside fintech-algorithms@0.13.0.
The signature and parameter list are checked against the compiled implementation at build time,
so a description that contradicts the code fails the build rather than reaching this file.

## Links

- Article (how it works, step by step): https://thefintechbuilder.com/technical-indicators/trend-systems/average-directional-index-rating-adxr/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/technical-indicators/trend-systems/average-directional-index-rating-adxr/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/technical-indicators/llms.txt