# @aryth/norm

> A math util library

Latest version **0.7.8** (published 2025-03-23) · MIT license · 0 weekly downloads

## Install

```sh
npm install @aryth/norm
pnpm add @aryth/norm
yarn add @aryth/norm
bun add @aryth/norm
```

## Health

**Score 40/100 (D)** — status: stable.

Positive: esm support; no vulnerabilities.

Warnings: low downloads; no types; pre 1.0.

Negative: stale.

## Facts

| | |
|---|---|
| Version | 0.7.8 |
| Published | 2025-03-23 |
| First published | 2025-03-19 |
| Weekly downloads | 0 |
| License | MIT |
| TypeScript types | none |
| Module format | ESM |
| Node | >=22.0.0 |
| Dependencies | 1 |
| Unpacked size | 8.2 KB |
| Known vulnerabilities | 0 |
| Install scripts | no |
| GitHub stars | 0 |
| Author | Hoyeung Wong |
| Maintainers | hoyeung |
| Keywords | math, numeric, analysis |

## Links

- npm: https://www.npmjs.com/package/@aryth/norm
- Repository: https://github.com/gadge/aryth
- Homepage: https://github.com/hoyeungw/aryth#readme
- Issues: https://github.com/hoyeungw/aryth
- npm.io page: https://npm.io/package/@aryth/norm

## Dependencies (1)

- [@typen/nullish](https://npm.io/package/@typen/nullish.md) ^0.2.0

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## Recent versions

- 0.7.8 (latest) — 2025-03-23
- 0.7.7 — 2025-03-19

## README

# @aryth/norm

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[//]: <> (Shields)

[badge-npm-version]: https://flat.badgen.net/npm/v/@aryth/norm

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[//]: <> (Link)

[url-npm]: https://npmjs.org/package/@aryth/norm

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[url-github]: https://github.com/hoyeungw/aryth

##### Math util library

#### Features

#### Install

```console
$ npm install @aryth/norm
```

#### Usage

```js
```

#### Norm Definition

R0 = 3.442619855899: This is the start of the tail region of the normal distribution. It's the x-coordinate beyond which
the algorithm handles the "tail" of the distribution specially. This value is chosen so that the tail can be efficiently
sampled.

R1 = 1.0 / R0: This is simply the reciprocal of R0, used in the tail sampling portion of the algorithm.

R0S = exp(-0.5 * R0 * R0): This represents the height of the normal probability density function at the point R0. It's
the y-coordinate of the normal curve at the tail cutoff point.

VN = 9.91256303526217e-3: This constant represents the volume of the base rectangle in the norm structure. It's a
carefully chosen value that makes the algorithm efficient.

M1 = 2147483648.0: This is 2^31, the maximum value that can be represented in a 32-bit signed integer. It's used as a
scaling factor to convert between floating-point and integer representations.

N2P32 = -0x100000000: This is -2^32, used in the uniform normom number generator (norm() method). It helps scale the
output of the xorshift() function to produce numbers in the [0,1] range.

#### Meta

[LICENSE (MIT)](LICENSE)

---
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