# Highest-High and Lowest-Low Primitives

`D08-F07-A01` · Geometric Chart Patterns → Market Structure, Breakouts, and Regimes · archetype `record-transform` · difficulty 2/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/geometric-chart-patterns/market-structure-breakouts-and-regimes/highest-high-and-lowest-low-primitives/
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 { highestHighAndLowestLowPrimitives } from "fintech-algorithms/geometric-chart-patterns/market-structure-breakouts-and-regimes/highest-high-and-lowest-low-primitives";
```

## Signature

```ts
highestHighAndLowestLowPrimitives(input)
```

The two rolling extremes every breakout rule is built on: the highest high and lowest low over a window of `period` bars ending at, and including, the current bar.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `TopicInput` | yes | `bars` is the required OHLCV history, strictly ordered by `timestamp` and on a single adjustment basis. `parameters.period` (default `20`, integer of at least 2) sets the window length. |

## Returns

`TopicResult`

`series` and `latest` carry `highest` and `lowest`. The warm-up is `period - 1` bars because the window includes the current bar, so with the default `ready_at` is 19 - one bar earlier than the breakout topics that exclude it.

## Warm-up

The first `period - 1 bars (19 by default)` positions are `null`. The window spans indices i-period+1 through i inclusive, so index `period - 1` is the first with a full window.

## Errors

- When `period` is supplied as a non-integer or as a value below 2 — throws Error
- When a bar's `high` or `low` is not a finite number — throws Error

## Complexity

Time `O(n × period)`, 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
highestHighAndLowestLowPrimitives(input)
```

### Returns

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

```json
{
  "topic_id": "D08-F07-A01",
  "title": "Highest-High and Lowest-Low Primitives",
  "state": "calculated",
  "ready": true,
  "ready_at": 19,
  "series": {
    "highest": [null, null, null, null, null, null],
    "lowest": [null, null, null, null, null, null]
  },
  "latest": {
    "highest": 109.83623682,
    "lowest": 98.68874251
  },
  "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/geometric-chart-patterns/market-structure-breakouts-and-regimes/highest-high-and-lowest-low-primitives/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/geometric-chart-patterns/market-structure-breakouts-and-regimes/highest-high-and-lowest-low-primitives/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/geometric-chart-patterns/llms.txt