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+ +BASE85.encodeBigInt(2n ** 128n - 1); +// '=r54lj&NUUO~Hi%c2ym0' + +BASE85.decodeBigInt("=r54lj&NUUO~Hi%c2ym0").toString(16); +// 'ffffffffffffffffffffffffffffffff' + +// define a custom base impl +const ternary = defBase("012"); + +ternary.encode(12345678) +// '212020020002100' + +ternary.decode("212020020002100"); +// 12345678 +``` + +## Authors + +Karsten Schmidt + +If this project contributes to an academic publication, please cite it as: + +```bibtex +@misc{thing-base-n, + title = "@thi.ng/base-n", + author = "Karsten Schmidt", + note = "https://thi.ng/base-n", + year = 2017 +} +``` + +## License + +© 2017 - 2021 Karsten Schmidt // Apache Software License 2.0 diff --git a/packages/base-n/api-extractor.json b/packages/base-n/api-extractor.json new file mode 100644 index 0000000000..94972e6bed --- /dev/null +++ b/packages/base-n/api-extractor.json @@ -0,0 +1,3 @@ +{ + "extends": "../../api-extractor.json" +} diff --git a/packages/base-n/package.json b/packages/base-n/package.json new file mode 100644 index 0000000000..234e825389 --- /dev/null +++ b/packages/base-n/package.json @@ -0,0 +1,67 @@ +{ + "name": "@thi.ng/base-n", + "version": "0.0.1", + "description": "Arbitrary base-n encoding/decoding with presets for base32/36/58/62/64/85 and support for bigints", + "module": "./index.js", + "main": "./lib/index.js", + "umd:main": "./lib/index.umd.js", + "typings": "./index.d.ts", + "repository": { + "type": "git", + "url": "https://github.com/thi-ng/umbrella.git" + }, + "homepage": "https://github.com/thi-ng/umbrella/tree/master/packages/base-n#readme", + "funding": [ + { + "type": "github", + "url": "https://github.com/sponsors/postspectacular" + }, + { + "type": "patreon", + "url": "https://patreon.com/thing_umbrella" + } + ], + "author": "Karsten Schmidt ", + "license": "Apache-2.0", + "scripts": { + "build": "yarn clean && yarn build:es6 && node ../../scripts/bundle-module", + "build:release": "yarn clean && yarn build:es6 && node ../../scripts/bundle-module all", + "build:es6": "tsc --declaration", + "build:test": "rimraf build && tsc -p test/tsconfig.json", + "build:check": "tsc --isolatedModules --noEmit", + "test": "mocha test", + "cover": "nyc mocha test && nyc report --reporter=lcov", + "clean": "rimraf *.js *.d.ts *.map .nyc_output build coverage doc lib", + "doc:readme": "ts-node -P ../../tools/tsconfig.json ../../tools/src/readme.ts", + "doc:ae": "mkdir -p .ae/doc .ae/temp && node_modules/.bin/api-extractor run --local --verbose", + "doc": "node_modules/.bin/typedoc --out doc --theme ../../tools/doc/typedoc-theme src/index.ts", + "pub": "yarn build:release && yarn publish --access public" + }, + "devDependencies": { + "@istanbuljs/nyc-config-typescript": "^1.0.1", + "@microsoft/api-extractor": "^7.12.1", + "@types/mocha": "^8.2.0", + "@types/node": "^14.14.14", + "mocha": "^8.2.1", + "nyc": "^15.1.0", + "ts-node": "^9.1.1", + "typedoc": "^0.20.4", + "typescript": "^4.1.3" + }, + "files": [ + "*.js", + "*.d.ts", + "lib" + ], + "keywords": [ + "typescript" + ], + "publishConfig": { + "access": "public" + }, + "sideEffects": false, + "thi.ng": { + "status": "beta", + "year": 2017 + } +} diff --git a/packages/base-n/src/32.ts b/packages/base-n/src/32.ts new file mode 100644 index 0000000000..0a2e131451 --- /dev/null +++ b/packages/base-n/src/32.ts @@ -0,0 +1,17 @@ +import { defBase } from "./base"; + +/** + * Digits: A-Z 2-7 + * + * @remarks + * Reference: https://tools.ietf.org/html/rfc4648 + */ +export const BASE32_RFC4648 = defBase("ABCDEFGHIJKLMNOPQRSTUVWXYZ234567"); + +/** + * Digits: 0-9 A-V + * + * @remarks + * Reference: https://en.wikipedia.org/wiki/Base32#base32hex + */ +export const BASE32_HEX = defBase("0123456789ABCDEFGHIJKLMNOPQRSTUV"); diff --git a/packages/base-n/src/36.ts b/packages/base-n/src/36.ts new file mode 100644 index 0000000000..99f02821ae --- /dev/null +++ b/packages/base-n/src/36.ts @@ -0,0 +1,11 @@ +import { defBase } from "./base"; + +export const B36_CHARS = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + +/** + * Digits: 0-9 A-Z + * + * @remarks + * Reference: https://en.wikipedia.org/wiki/Base36 + */ +export const BASE36 = defBase(B36_CHARS); diff --git a/packages/base-n/src/58.ts b/packages/base-n/src/58.ts new file mode 100644 index 0000000000..70ae485c16 --- /dev/null +++ b/packages/base-n/src/58.ts @@ -0,0 +1,9 @@ +import { defBase } from "./base"; + +export const B58_CHARS = + "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz"; + +/** + * Reference: https://en.wikipedia.org/wiki/Binary-to-text_encoding + */ +export const BASE58 = defBase(B58_CHARS); diff --git a/packages/base-n/src/62.ts b/packages/base-n/src/62.ts new file mode 100644 index 0000000000..e88f53535f --- /dev/null +++ b/packages/base-n/src/62.ts @@ -0,0 +1,12 @@ +import { B36_CHARS } from "./36"; +import { defBase } from "./base"; + +export const B62_CHARS = B36_CHARS + "abcdefghijklmnopqrstuvwxyz"; + +/** + * Digits: 0-9 A-Z a-z + * + * @remarks + * Reference: https://en.wikipedia.org/wiki/Base62 + */ +export const BASE62 = defBase(B62_CHARS); diff --git a/packages/base-n/src/64.ts b/packages/base-n/src/64.ts new file mode 100644 index 0000000000..4a55b453a2 --- /dev/null +++ b/packages/base-n/src/64.ts @@ -0,0 +1,12 @@ +import { B62_CHARS } from "./62"; +import { defBase } from "./base"; + +export const B64_CHARS = B62_CHARS + "+/"; + +/** + * Digits: 0-9 A-Z a-z + / + * + * @remarks + * Reference: https://en.wikipedia.org/wiki/Base64 + */ +export const BASE64 = defBase(B64_CHARS); diff --git a/packages/base-n/src/85.ts b/packages/base-n/src/85.ts new file mode 100644 index 0000000000..64f0ab28b2 --- /dev/null +++ b/packages/base-n/src/85.ts @@ -0,0 +1,9 @@ +import { B62_CHARS } from "./62"; +import { defBase } from "./base"; + +const B85_CHARS = B62_CHARS + "!#$%&()*+-;<=>?@^_`{|}~"; + +/** + * Reference: https://en.wikipedia.org/wiki/Ascii85 + */ +export const BASE85 = defBase(B85_CHARS); diff --git a/packages/base-n/src/api.ts b/packages/base-n/src/api.ts new file mode 100644 index 0000000000..ca1f6f51a5 --- /dev/null +++ b/packages/base-n/src/api.ts @@ -0,0 +1,28 @@ +export interface IBase { + /** + * Encodes `x` into a baseN encoded string. `x` MUST be < 2^53. Use + * `encodeBigInt()` for arbitrary values. + * + * @param x + */ + encode(x: number): string; + /** + * Encodes bigint `x` into a baseN encoded string. + * + * @param x + */ + encodeBigInt(x: bigint): string; + /** + * Decodes baseN encoded string `x` into a numeric value. Assumes the + * resulting `x` will be < 2^53. Use `decodeBigInt()` for arbitrary values. + * + * @param x + */ + decode(x: string): number; + /** + * Decodes baseN encoded string `x` into a bigint value. + * + * @param x + */ + decodeBigInt(x: string): bigint; +} diff --git a/packages/base-n/src/base.ts b/packages/base-n/src/base.ts new file mode 100644 index 0000000000..a60720b371 --- /dev/null +++ b/packages/base-n/src/base.ts @@ -0,0 +1,63 @@ +import type { IBase } from "./api"; + +export const defBase = (chars: string) => new BaseN(chars); + +export class BaseN implements IBase { + readonly N: number; + readonly index: Record; + + constructor(public readonly base: string) { + this.N = base.length; + this.index = [...base].reduce( + (acc, x, i) => ((acc[x] = i), acc), + >{} + ); + } + + encode(x: number) { + const { base, N } = this; + if (x === 0) return base[0]; + let res = ""; + while (x > 0) { + res = base[x % N] + res; + x = (x / N) | 0; + } + return res; + } + + encodeBigInt(x: bigint) { + if (x < BigInt(2 ** 53)) return this.encode(Number(x)); + const { base, N } = this; + if (x === BigInt(0)) return base[0]; + const NN = BigInt(N); + let res = ""; + while (x > 0) { + res = base[Number(x % NN)] + res; + x /= NN; + } + return res; + } + + decode(x: string) { + const { index, N } = this; + let res = 0; + for (let n = x.length - 1, i = 0; i <= n; i++) { + res += index[x[i]] * N ** (n - i); + } + return res; + } + + decodeBigInt(x: string): bigint { + const { index, N } = this; + const NN = BigInt(N); + let res = BigInt(0); + for (let n = x.length - 1, i = 0; i <= n; i++) { + res += BigInt(index[x[i]]) * NN ** BigInt(n - i); + } + return res; + } + + validate(x: string) { + return new RegExp(`^[${this.base}]+$`).test(x); + } +} diff --git a/packages/base-n/src/index.ts b/packages/base-n/src/index.ts new file mode 100644 index 0000000000..15bde395a5 --- /dev/null +++ b/packages/base-n/src/index.ts @@ -0,0 +1,9 @@ +export * from "./api"; +export * from "./base"; + +export * from "./32"; +export * from "./36"; +export * from "./58"; +export * from "./62"; +export * from "./64"; +export * from "./85"; diff --git a/packages/base-n/test/index.ts b/packages/base-n/test/index.ts new file mode 100644 index 0000000000..2a0d89cd04 --- /dev/null +++ b/packages/base-n/test/index.ts @@ -0,0 +1,37 @@ +import * as assert from "assert"; +import { + BASE32_HEX, + BASE32_RFC4648, + BASE36, + BASE58, + BASE64, + BASE85, +} from "../src"; + +describe("base-n", () => { + it("roundtrip", () => { + const X = BigInt(2) ** BigInt(128) - BigInt(1); + + // prettier-ignore + assert.strictEqual(BASE32_RFC4648.encodeBigInt(X), "H7777777777777777777777777"); + // prettier-ignore + assert.strictEqual(BASE32_RFC4648.decodeBigInt("H7777777777777777777777777"), X); + + // prettier-ignore + assert.strictEqual(BASE32_HEX.encodeBigInt(X), "7VVVVVVVVVVVVVVVVVVVVVVVVV"); + // prettier-ignore + assert.strictEqual(BASE32_HEX.decodeBigInt("7VVVVVVVVVVVVVVVVVVVVVVVVV"), X); + + assert.strictEqual(BASE36.encodeBigInt(X), "F5LXX1ZZ5PNORYNQGLHZMSP33"); + assert.strictEqual(BASE36.decodeBigInt("F5LXX1ZZ5PNORYNQGLHZMSP33"), X); + + assert.strictEqual(BASE58.encodeBigInt(X), "YcVfxkQb6JRzqk5kF2tNLv"); + assert.strictEqual(BASE58.decodeBigInt("YcVfxkQb6JRzqk5kF2tNLv"), X); + + assert.strictEqual(BASE64.encodeBigInt(X), "3/////////////////////"); + assert.strictEqual(BASE64.decodeBigInt("3/////////////////////"), X); + + assert.strictEqual(BASE85.encodeBigInt(X), "=r54lj&NUUO~Hi%c2ym0"); + assert.strictEqual(BASE85.decodeBigInt("=r54lj&NUUO~Hi%c2ym0"), X); + }); +}); diff --git a/packages/base-n/test/tsconfig.json b/packages/base-n/test/tsconfig.json new file mode 100644 index 0000000000..f6e63560dd --- /dev/null +++ b/packages/base-n/test/tsconfig.json @@ -0,0 +1,11 @@ +{ + "extends": "../../../tsconfig.json", + "compilerOptions": { + "outDir": "../build", + "module": "commonjs" + }, + "include": [ + "./**/*.ts", + "../src/**/*.ts" + ] +} diff --git a/packages/base-n/tpl.readme.md b/packages/base-n/tpl.readme.md new file mode 100644 index 0000000000..4319daa09e --- /dev/null +++ b/packages/base-n/tpl.readme.md @@ -0,0 +1,67 @@ +# ${pkg.banner} + +[![npm version](https://img.shields.io/npm/v/${pkg.name}.svg)](https://www.npmjs.com/package/${pkg.name}) +![npm downloads](https://img.shields.io/npm/dm/${pkg.name}.svg) +[![Twitter Follow](https://img.shields.io/twitter/follow/thing_umbrella.svg?style=flat-square&label=twitter)](https://twitter.com/thing_umbrella) + +This project is part of the +[@thi.ng/umbrella](https://github.com/thi-ng/umbrella/) monorepo. + + + +## About + +${pkg.description} + +${status} + +${supportPackages} + +${relatedPackages} + +${blogPosts} + +## Installation + +${pkg.install} + +${pkg.size} + +## Dependencies + +${pkg.deps} + +${examples} + +## API + +${docLink} + +```ts +import { BASE85, defBase } from "@thi.ng/base-n"; + +BASE85.encodeBigInt(2n ** 128n - 1); +// '=r54lj&NUUO~Hi%c2ym0' + +BASE85.decodeBigInt("=r54lj&NUUO~Hi%c2ym0").toString(16); +// 'ffffffffffffffffffffffffffffffff' + +// define a custom base impl +const ternary = defBase("012"); + +ternary.encode(12345678) +// '212020020002100' + +ternary.decode("212020020002100"); +// 12345678 +``` + +## Authors + +${authors} + +${pkg.cite} + +## License + +© ${copyright} // ${license} diff --git a/packages/base-n/tsconfig.json b/packages/base-n/tsconfig.json new file mode 100644 index 0000000000..bd6481a5a6 --- /dev/null +++ b/packages/base-n/tsconfig.json @@ -0,0 +1,9 @@ +{ + "extends": "../../tsconfig.json", + "compilerOptions": { + "outDir": "." + }, + "include": [ + "./src/**/*.ts" + ] +}