@petamoriken/float16

What is @petamoriken/float16?

@petamoriken/float16 is an npm package that provides utilities for handling 16-bit floating-point numbers (half-precision). It allows for conversion between 16-bit floats and other numeric types, as well as arithmetic operations on 16-bit floats.

What are @petamoriken/float16's main functionalities?

Conversion from 32-bit float to 16-bit float

This feature allows you to convert a 32-bit floating-point number to a 16-bit floating-point number. The code sample demonstrates converting the 32-bit float value 1.5 to its 16-bit float representation.

const { float32ToFloat16 } = require('@petamoriken/float16');
const float32 = 1.5;
const float16 = float32ToFloat16(float32);
console.log(float16); // Output: 15360

Conversion from 16-bit float to 32-bit float

This feature allows you to convert a 16-bit floating-point number back to a 32-bit floating-point number. The code sample demonstrates converting the 16-bit float value 15360 back to its 32-bit float representation.

const { float16ToFloat32 } = require('@petamoriken/float16');
const float16 = 15360;
const float32 = float16ToFloat32(float16);
console.log(float32); // Output: 1.5

Arithmetic operations on 16-bit floats

This feature provides basic arithmetic operations (addition, subtraction, multiplication, and division) on 16-bit floating-point numbers. The code sample demonstrates these operations using two 16-bit float values representing 1.5.

const { addFloat16, subFloat16, mulFloat16, divFloat16 } = require('@petamoriken/float16');
const a = 15360; // 1.5 in 16-bit float
const b = 15360; // 1.5 in 16-bit float
console.log(addFloat16(a, b)); // Output: 16384 (3.0 in 16-bit float)
console.log(subFloat16(a, b)); // Output: 0 (0.0 in 16-bit float)
console.log(mulFloat16(a, b)); // Output: 15872 (2.25 in 16-bit float)
console.log(divFloat16(a, b)); // Output: 15360 (1.0 in 16-bit float)

Other packages similar to @petamoriken/float16

float16

The 'float16' package provides similar functionality for handling 16-bit floating-point numbers. It includes methods for converting between 16-bit and 32-bit floats, as well as arithmetic operations. However, it may have a different API and performance characteristics compared to @petamoriken/float16.

README

float16

IEEE 754 half-precision floating-point for JavaScript
See the archive of the ES Discuss Float16Array topic for details

Install

Node.js

npm install @petamoriken/float16

yarn add @petamoriken/float16

Bun

bun add @petamoriken/float16

Import

Node.js, Bun or Bundler (webpack, rollup.js, esbuild, etc)

// ES Modules
import {
  Float16Array, isFloat16Array, isTypedArray,
  getFloat16, setFloat16,
  hfround,
} from "@petamoriken/float16";

// CommonJS
const {
  Float16Array, isFloat16Array, isTypedArray,
  getFloat16, setFloat16,
  hfround,
} = require("@petamoriken/float16");

Deno

You can get modules from the deno.land/x hosting service.

import {
  Float16Array, isFloat16Array, isTypedArray,
  getFloat16, setFloat16,
  hfround,
} from "https://deno.land/x/float16/mod.ts";

Browser

Deliver a browser/float16.mjs or browser/float16.js file in the npm package from your Web server with the JavaScript Content-Type HTTP header.

<!-- Module Scripts -->
<script type="module">
  import {
    Float16Array, isFloat16Array, isTypedArray,
    getFloat16, setFloat16,
    hfround,
  } from "DEST/TO/float16.mjs";
</script>

<!-- Classic Scripts -->
<script src="DEST/TO/float16.js"></script>
<script>
  const {
    Float16Array, isFloat16Array, isTypedArray,
    getFloat16, setFloat16,
    hfround,
  } = float16;
</script>

Or, you can use jsDelivr CDN.

<!-- Module Scripts -->
<script type="module">
  import {
    Float16Array, isFloat16Array, isTypedArray,
    getFloat16, setFloat16,
    hfround,
  } from "https://cdn.jsdelivr.net/npm/@petamoriken/float16/+esm";
</script>

<!-- Classic Scripts -->
<script src="https://cdn.jsdelivr.net/npm/@petamoriken/float16/browser/float16.min.js"></script>
<script>
  const {
    Float16Array, isFloat16Array, isTypedArray,
    getFloat16, setFloat16,
    hfround,
  } = float16;
</script>

Support engines

This package only requires ES2015 features and does not use environment-dependent features (except for inspect/), so you can use it without any problems. It works fine with the current officially supported versions of Node.js.

Float16Array implemented by Proxy and Reflect, so IE11 is never supported even if you use polyfills.

Pre-transpiled JavaScript files (CommonJS, IIFE)

lib/ and browser/ directories in the npm package have JavaScript files already transpiled, and they have been tested automatically in the following environments:

• Node.js: Active LTS
• Firefox: last 2 versions and ESR
• Chrome: last 2 versions
• Edge: last 2 versions
• Safari: last 2 versions

API

Float16Array

Float16Array is similar to TypedArray such as Float32Array (MDN).

const array = new Float16Array([1.0, 1.1, 1.2, 1.3]);
for (const value of array) {
  // 1, 1.099609375, 1.19921875, 1.2998046875
  console.log(value);
}

// Float16Array(4) [ 2, 2.19921875, 2.3984375, 2.599609375 ]
array.map((value) => value * 2);

isFloat16Array

isFloat16Array is a utility function to check whether the value given as an argument is an instance of Float16Array or not.

const buffer = new ArrayBuffer(256);

// true
isFloat16Array(new Float16Array(buffer));

// false
isFloat16Array(new Float32Array(buffer));
isFloat16Array(new Uint16Array(buffer));
isFloat16Array(new DataView(buffer));

isTypedArray

isTypedArray is a utility function to check whether the value given as an argument is an instance of a type of TypedArray or not. Unlike util.types.isTypedArray in Node.js, this returns true for Float16Array.

const buffer = new ArrayBuffer(256);

// true
isTypedArray(new Float16Array(buffer));
isTypedArray(new Float32Array(buffer));
isTypedArray(new Uint16Array(buffer));

// false
isTypedArray(new DataView(buffer));

getFloat16, setFloat16

getFloat16 and setFloat16 are similar to DataView methods such as DataView#getFloat32 (MDN) and DataView#setFloat32 (MDN).

declare function getFloat16(view: DataView, byteOffset: number, littleEndian?: boolean): number;
declare function setFloat16(view: DataView, byteOffset: number, value: number, littleEndian?: boolean): void;

const buffer = new ArrayBuffer(256);
const view = new DataView(buffer);

view.setUint16(0, 0x1234);
getFloat16(view, 0); // 0.0007572174072265625

// You can append methods to DataView instance
view.getFloat16 = (...args) => getFloat16(view, ...args);
view.setFloat16 = (...args) => setFloat16(view, ...args);

view.getFloat16(0); // 0.0007572174072265625

view.setFloat16(0, Math.PI, true);
view.getFloat16(0, true); // 3.140625

hfround

hfround is similar to Math.fround (MDN). This function returns nearest half-precision float representation of a number.

declare function hfround(x: number): number;

Math.fround(1.337); // 1.3370000123977661
hfround(1.337); // 1.3369140625

Float16Array limitations (edge cases)

Float16Array has some limitations, because it is impossible to completely reproduce the behavior of TypedArray. Be careful when checking if it is a TypedArray or not by using ArrayBuffer.isView, and when using Web standards such as structuredClone and WebGL.

Built-in functions

Built-in TypedArray objects use "internal slots" for built-in methods. Some limitations exist because the Proxy object can't trap internal slots (explanation).

This package isn't polyfill, in other words, it doesn't change native global functions and static/prototype methods.

E.g. ArrayBuffer.isView is the butlt-in method that checks if it has the [[ViewedArrayBuffer]] internal slot. It returns false for Proxy object such as Float16Array instance.

ArrayBuffer.isView(new Float32Array(10)); // true
ArrayBuffer.isView(new Float16Array(10)); // false

The structured clone algorithm (Web Workers, IndexedDB, etc)

The structured clone algorithm copies complex JavaScript objects. It is used internally when invoking structuredClone(), to transfer data between Web Workers via postMessage(), storing objects with IndexedDB, or copying objects for other APIs (MDN).

It can't clone Proxy object such as Float16Array instance, you need to convert it to Uint16Array or deal with ArrayBuffer directly.

const array = new Float16Array([1.0, 1.1, 1.2]);
const cloned = structuredClone({ buffer: array.buffer });

WebGL

WebGL requires Uint16Array for buffer or texture data whose types are gl.HALF_FLOAT (WebGL 2) or ext.HALF_FLOAT_OES (WebGL 1 extension). Do not apply the Float16Array object directly to gl.bufferData or gl.texImage2D etc.

// WebGL 2 example
const vertices = new Float16Array([
  -0.5, -0.5,  0,
   0.5, -0.5,  0,
   0.5,  0.5,  0,
]);

const buffer = gl.createBuffer();
gl.bindBuffer(gl.ARRAY_BUFFER, buffer);

// wrap in Uint16Array
gl.bufferData(gl.ARRAY_BUFFER, new Uint16Array(vertices.buffer), gl.STATIC_DRAW);
gl.vertexAttribPointer(location, 3, gl.HALF_FLOAT, false, 0, 0);

gl.bindBuffer(gl.ARRAY_BUFFER, null);
gl.enableVertexAttribArray(location);

Others

See JSDoc comments in src/Float16Array.mjs for details. If you don't write hacky code, you shouldn't have any problems.

Float16Array custom inspection

Provides custom inspection for Node.js and Deno, which makes the results of console.log more readable.

Node.js

// ES Modules
import { Float16Array } from "@petamoriken/float16";
import { customInspect } from "@petamoriken/float16/inspect";

Float16Array.prototype[Symbol.for("nodejs.util.inspect.custom")] = customInspect;

// CommonJS
const { Float16Array } = require("@petamoriken/float16");
const { customInspect } = require("@petamoriken/float16/inspect");

Float16Array.prototype[Symbol.for("nodejs.util.inspect.custom")] = customInspect;

Deno

import { Float16Array } from "https://deno.land/x/float16/mod.ts";
import { customInspect } from "https://deno.land/x/float16/inspect.ts";

// deno-lint-ignore no-explicit-any
(Float16Array.prototype as any)[Symbol.for("Deno.customInspect")] = customInspect;

Development

Manual build and test

Manual build

First, download devDependencies.

yarn

Build lib/, browser/ files.

yarn run build

Build docs/ files (for browser test).

yarn run docs

Test

First, download devDependencies.

yarn

Node.js test

NODE_ENV=test yarn build:lib
yarn test

Browser test

NODE_ENV=test yarn build:browser
yarn docs

Access docs/test/index.html with browsers.

You can access current test page (power-assert version) in master branch.

License

MIT License

This software contains productions that are distributed under the Apache 2.0 License. Specifically, index.d.ts is modified from the original TypeScript lib files.