From 97c8747ba20be6a1fb826d016614c1765feaeefd Mon Sep 17 00:00:00 2001 From: Luma Date: Sun, 11 Feb 2024 21:36:07 +0900 Subject: [PATCH] major: initial --- .eslintignore | 3 + .eslintrc.cjs | 39 + .github/workflows/ci.yml | 24 + .gitignore | 2 + .prettierignore | 4 + CC0-LICENSE | 121 + MIT-LICENSE | 21 + README.md | 15 + package-lock.json | 8393 ++++++++++++++++++++++++++++++++++++++ package.json | 42 + release.config.cjs | 20 + src/base.ts | 9 + src/field.ts | 107 + src/group.ts | 78 + src/linear-algebra.ts | 43 + src/main.ts | 5 + src/rational.ts | 89 + tsconfig.build.json | 4 + tsconfig.json | 15 + 19 files changed, 9034 insertions(+) create mode 100644 .eslintignore create mode 100644 .eslintrc.cjs create mode 100644 .github/workflows/ci.yml create mode 100644 .gitignore create mode 100644 .prettierignore create mode 100644 CC0-LICENSE create mode 100644 MIT-LICENSE create mode 100644 README.md create mode 100644 package-lock.json create mode 100644 package.json create mode 100644 release.config.cjs create mode 100644 src/base.ts create mode 100644 src/field.ts create mode 100644 src/group.ts create mode 100644 src/linear-algebra.ts create mode 100644 src/main.ts create mode 100644 src/rational.ts create mode 100644 tsconfig.build.json create mode 100644 tsconfig.json diff --git a/.eslintignore b/.eslintignore new file mode 100644 index 0000000..379f57a --- /dev/null +++ b/.eslintignore @@ -0,0 +1,3 @@ +node_modules/ +/examples/ +/dist/ diff --git a/.eslintrc.cjs b/.eslintrc.cjs new file mode 100644 index 0000000..9bfaa4b --- /dev/null +++ b/.eslintrc.cjs @@ -0,0 +1,39 @@ +/* eslint-env node */ +module.exports = { + root: true, + overrides: [ + { + files: ["*.ts"], + extends: [ + "eslint:recommended", + "plugin:@typescript-eslint/recommended-type-checked", + ], + parser: "@typescript-eslint/parser", + plugins: ["@typescript-eslint"], + parserOptions: { + project: true, + tsconfigRootDir: __dirname, + }, + rules: { + "@typescript-eslint/no-explicit-any": "off", + "@typescript-eslint/no-unsafe-argument": "off", + "@typescript-eslint/no-unsafe-return": "off", + "@typescript-eslint/no-unsafe-member-access": "off", + "@typescript-eslint/no-unsafe-assignment": "off", + "@typescript-eslint/no-unsafe-call": "off", + "@typescript-eslint/require-await": "off", + "@typescript-eslint/no-unused-vars": [ + "error", + { argsIgnorePattern: "^_", varsIgnorePattern: "^_" }, + ], + }, + }, + { + files: ["*.cjs"], + extends: ["eslint:recommended"], + env: { + node: true, + }, + }, + ], +}; diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml new file mode 100644 index 0000000..f83f9cd --- /dev/null +++ b/.github/workflows/ci.yml @@ -0,0 +1,24 @@ +on: + push: + branches: + - main + - release + pull_request: +jobs: + ci: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-node@v4 + with: + node-version: 20 + cache: npm + - run: npm ci + - run: npm run lint + - run: npm run test + - run: npm run typecheck + - run: npm run build + - run: npx -q --no-install semantic-release + env: + GITHUB_TOKEN: ${{ github.token }} + NPM_TOKEN: ${{ secrets.NPM_TOKEN }} diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..1156ada --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +node_modules/ +/dist/ diff --git a/.prettierignore b/.prettierignore new file mode 100644 index 0000000..fb1da79 --- /dev/null +++ b/.prettierignore @@ -0,0 +1,4 @@ +node_modules/ +/examples/ +/dist/ +*.json diff --git a/CC0-LICENSE b/CC0-LICENSE new file mode 100644 index 0000000..0e259d4 --- /dev/null +++ b/CC0-LICENSE @@ -0,0 +1,121 @@ +Creative Commons Legal Code + +CC0 1.0 Universal + + CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE + LEGAL SERVICES. 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Affirmer understands and acknowledges that Creative Commons is not a + party to this document and has no duty or obligation with respect to + this CC0 or use of the Work. diff --git a/MIT-LICENSE b/MIT-LICENSE new file mode 100644 index 0000000..338979a --- /dev/null +++ b/MIT-LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2024 Luma + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/README.md b/README.md new file mode 100644 index 0000000..7878c22 --- /dev/null +++ b/README.md @@ -0,0 +1,15 @@ +# @luma-dev/mathkit.ts + +## ライセンス + +[MIT](https://github.com/luma-dev/mathkit.ts?tab=MIT-2-ov-file)と[CC0](https://github.com/luma-dev/mathkit.ts?tab=CC0-1.0-1-ov-file)でライセンスされています + +## インストール + +```bash +npm i @luma-dev/mathkit.ts +``` + +## 使い方 + +そのうち書くかも diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000..c6926a9 --- /dev/null +++ b/package-lock.json @@ -0,0 +1,8393 @@ +{ + "name": "@luma-dev/mathkit.ts", + "version": "0.0.0-dev", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "@luma-dev/mathkit.ts", + "version": 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--watch", + "test": "vitest" + }, + "keywords": [], + "author": "Luma ", + "license": "CC0-1.0", + "devDependencies": { + "@types/node": "^20.11.4", + "@typescript-eslint/eslint-plugin": "^6.20.0", + "eslint": "^8.56.0", + "prettier": "^3.2.4", + "semantic-release": "^23.0.0", + "shx": "^0.3.4", + "typescript": "^5.3.3", + "vitest": "^1.2.0" + }, + "engines": { + "node": ">=20", + "npm": ">=10" + }, + "packageManager": "npm@10.3.0+sha256.ec92e7332e3f7aef6feb2b3c9585fde534cd56905cf26e77debc69e4e2b44892", + "publishConfig": { + "access": "public" + } +} diff --git a/release.config.cjs b/release.config.cjs new file mode 100644 index 0000000..6eabd7b --- /dev/null +++ b/release.config.cjs @@ -0,0 +1,20 @@ +/** + * @type {import('semantic-release').GlobalConfig} + */ +module.exports = { + branches: ["main"], + plugins: [ + "@semantic-release/npm", + "@semantic-release/github", + [ + "@semantic-release/commit-analyzer", + { + releaseRules: [ + { type: "major", release: "major" }, + { type: "minor", release: "minor" }, + { type: "patch", release: "patch" }, + ], + }, + ], + ], +}; diff --git a/src/base.ts b/src/base.ts new file mode 100644 index 0000000..db1f706 --- /dev/null +++ b/src/base.ts @@ -0,0 +1,9 @@ +export interface Prove { + readonly "@proved": true; +} + +export const asProved = (..._proves: Prove[]): Prove => { + return { + "@proved": true, + }; +}; diff --git a/src/field.ts b/src/field.ts new file mode 100644 index 0000000..306123f --- /dev/null +++ b/src/field.ts @@ -0,0 +1,107 @@ +import type { Prove } from "./base.js"; +import { asProved } from "./base.js"; +import type { GroupProtocol } from "./group.js"; +import { numberGroup, numberMultGroup } from "./group.js"; + +// 体 (field) +export interface FieldProtocol { + readonly "@isAddAssociative": Prove; + readonly "@isAddCommutative": Prove; + Add(t1: T, t2: T): T; + AddInverse(t: T): T; + readonly "@isMultDistributive": Prove; + Mult(t: T, u: T): T; + readonly "@isMultAssociative": Prove; + readonly "@isMultCommutative": Prove; + MultAdd(u1: T, u2: T): T; + MultInverse(u: T): T; + Zero(): T; + One(): T; + AddEq(t1: T, t2: T): boolean; + MultEq(u1: T, u2: T): boolean; +} +export interface FieldUtil { + IsZero(t: T): boolean; + IsOne(u: T): boolean; + OfNat(n: bigint): T; + Pow(t: T, n: bigint): T; +} + +export const fieldUtil = (field: FieldProtocol): FieldUtil => { + return { + IsZero(t): boolean { + return field.AddEq(field.Zero(), t); + }, + IsOne(u): boolean { + return field.MultEq(field.One(), u); + }, + OfNat(n): T { + let m = n; + let neg = false; + if (m < 0n) { + m = -m; + neg = true; + } + let r = field.Zero(); + let p = field.One(); + while (m > 0n) { + if (m % 2n === 1n) { + r = field.Add(r, p); + } + p = field.Add(p, p); + m /= 2n; + } + return neg ? field.AddInverse(r) : r; + }, + Pow(t, n): T { + let m = n; + let neg = false; + if (m < 0n) { + m = -m; + neg = true; + } + let r = field.One(); + let p = t; + while (m > 0n) { + if (m % 2n === 1n) { + r = field.Mult(r, p); + } + p = field.Mult(p, p); + m /= 2n; + } + return neg ? field.MultInverse(r) : r; + }, + }; +}; + +export const createField = ( + mod: GroupProtocol, + mult: GroupProtocol, + act: FieldProtocol["Mult"], + actIsDistributive: Prove, +): FieldProtocol => { + return { + "@isAddAssociative": mod["@isAssociative"], + "@isAddCommutative": mod["@isCommutative"], + Add: mod.Add.bind(mod), + AddInverse: mod.Inverse.bind(mod), + "@isMultDistributive": actIsDistributive, + Mult: act, + "@isMultAssociative": mult["@isAssociative"], + "@isMultCommutative": mult["@isCommutative"], + MultAdd: mult.Add.bind(mult), + MultInverse: mult.Inverse.bind(mult), + Zero: mod.Zero.bind(mod), + One: mult.Zero.bind(mult), + AddEq: mod.Eq.bind(mod), + MultEq: mult.Eq.bind(mult), + }; +}; + +export const unsafeNumberField = () => + createField( + numberGroup(), + numberMultGroup(), + (t, u) => t * u, + asProved(/* 実際はfieldではない */), + ); diff --git a/src/group.ts b/src/group.ts new file mode 100644 index 0000000..da50190 --- /dev/null +++ b/src/group.ts @@ -0,0 +1,78 @@ +import type { Prove } from "./base.js"; +import { asProved } from "./base.js"; + +// 群 (group) +export interface GroupProtocol { + readonly "@isAssociative": Prove; + readonly "@isCommutative": Prove; + Add(t1: T, t2: T): T; + Inverse(t: T): T; + Zero(): T; + Eq(t1: T, t2: T): boolean; +} +export interface GroupUtil { + IsZero(t: T): boolean; +} + +export const groupUtil = (group: GroupProtocol): GroupUtil => { + return { + IsZero(t): boolean { + return group.Eq(group.Zero(), t); + }, + }; +}; + +export const numberGroup = (): GroupProtocol => { + return { + "@isAssociative": asProved(/* */), + "@isCommutative": asProved(/* */), + Add(n1, n2) { + return n1 + n2; + }, + Inverse(n) { + return -n; + }, + Zero() { + return 0; + }, + Eq(n1: number, n2: number) { + return n1 === n2; + }, + }; +}; + +export const numberMultGroup = (): GroupProtocol => { + return { + "@isAssociative": asProved(/**/), + "@isCommutative": asProved(/**/), + Add(n1, n2) { + return n1 * n2; + }, + Inverse(n) { + return 1 / n; + }, + Zero() { + return 1; + }, + Eq(n1, n2) { + return n1 === n2; + }, + }; +}; + +// export const bigintGroup = (): GroupProtocol => { +// return { +// Add(n1, n2) { +// return n1 * n2; +// }, +// Inverse(n) { +// return -n; +// }, +// Zero() { +// return 1n; +// }, +// Eq(n1, n2) { +// return n1 === n2; +// }, +// }; +// }; diff --git a/src/linear-algebra.ts b/src/linear-algebra.ts new file mode 100644 index 0000000..3f6d6f0 --- /dev/null +++ b/src/linear-algebra.ts @@ -0,0 +1,43 @@ +export class Vector { + constructor(public readonly data: readonly T[]) {} + get length(): number { + return this.data.length; + } + get(i: number): T { + const e = this.data[i]; + if (e === undefined) throw new Error(`Out of range index access: ${i}`); + return e; + } + map(fn: (v: T, i: number) => U): Vector { + return new Vector(this.data.map(fn)); + } + set(i: number, v: T): Vector { + return new Vector(this.data.map((vv, ii) => (ii === i ? v : vv))); + } +} + +export type MatMapperFn = (v: T, y: number, x: number) => U; +export class Matrix extends Vector> { + constructor(data: readonly Vector[]) { + super(data); + } + matGet(y: number, x: number): T { + return this.get(y).get(x); + } + matMap(fn: MatMapperFn): Matrix { + return new Matrix( + this.data.map((row, y) => row.map((v, x) => fn(v, y, x))), + ); + } + matSet(y: number, x: number, v: T): Matrix { + return new Matrix( + this.data.map((row, yy) => (yy === y ? row.set(x, v) : row)), + ); + } + row(i: number): Vector { + return new Vector(this.get(i).data); + } + column(j: number): Vector { + return new Vector(this.data.map((row) => row.get(j))); + } +} diff --git a/src/main.ts b/src/main.ts new file mode 100644 index 0000000..9ece9d3 --- /dev/null +++ b/src/main.ts @@ -0,0 +1,5 @@ +export * from "./base.js"; +export * from "./field.js"; +export * from "./group.js"; +export * from "./linear-algebra.js"; +export * from "./rational.js"; diff --git a/src/rational.ts b/src/rational.ts new file mode 100644 index 0000000..2a438fb --- /dev/null +++ b/src/rational.ts @@ -0,0 +1,89 @@ +import { asProved } from "./base.js"; +import type { FieldProtocol } from "./field.js"; +import { unsafeNumberField, fieldUtil } from "./field.js"; + +export interface Rational { + // 分子 + readonly numer: T; + // 分母 + readonly denom: T; +} + +export interface RationalField extends FieldProtocol> {} + +export const createRationalField = ( + field: FieldProtocol, +): RationalField => { + const Eq = (op1: Rational, op2: Rational): boolean => { + // a/b = c/d <=> ad = bc + return field.AddEq( + field.Mult(op1.numer, op2.denom), + field.Mult(op1.denom, op2.numer), + ); + }; + const isAddAssociative = asProved(); + const isAddCommutative = asProved(); + const Add = (op1: Rational, op2: Rational): Rational => { + // a/b + c/d = (ad+bc)/bd + return { + numer: field.Add( + field.Mult(op1.numer, op2.denom), + field.Mult(op1.denom, op2.numer), + ), + denom: field.Mult(op1.denom, op2.denom), + }; + }; + return { + "@isAddAssociative": isAddAssociative, + "@isAddCommutative": isAddCommutative, + Add, + AddInverse: (op1: Rational): Rational => { + return { + numer: field.AddInverse(op1.numer), + denom: op1.denom, + }; + }, + "@isMultDistributive": asProved(), + Mult: (op1: Rational, op2: Rational): Rational => { + // a/b * c/d = ac/bd + return { + numer: field.Mult(op1.numer, op2.numer), + denom: field.Mult(op1.denom, op2.denom), + }; + }, + "@isMultAssociative": isAddAssociative, + "@isMultCommutative": isAddCommutative, + MultAdd: Add, + MultInverse: (op1: Rational): Rational => { + if (fieldUtil(field).IsZero(op1.denom)) + throw new Error("no inverse of zero"); + // a/b^-1 = b/a + return { + numer: op1.denom, + denom: op1.numer, + }; + }, + Zero: (): Rational => { + return { + numer: field.Zero(), + denom: field.One(), + }; + }, + One: (): Rational => { + return { + numer: field.One(), + denom: field.One(), + }; + }, + AddEq: Eq, + MultEq: Eq, + }; +}; + +export type UnsafeNumberRational = Rational; +export const unsafeNumberRational = () => + createRationalField(unsafeNumberField()); +export const numberToRational = (n: number): UnsafeNumberRational => ({ + numer: n, + denom: 1, +}); diff --git a/tsconfig.build.json b/tsconfig.build.json new file mode 100644 index 0000000..b90fc83 --- /dev/null +++ b/tsconfig.build.json @@ -0,0 +1,4 @@ +{ + "extends": "./tsconfig.json", + "include": ["src"] +} diff --git a/tsconfig.json b/tsconfig.json new file mode 100644 index 0000000..8d3fd33 --- /dev/null +++ b/tsconfig.json @@ -0,0 +1,15 @@ +{ + "compilerOptions": { + "strict": true, + "module": "NodeNext", + "moduleResolution": "NodeNext", + "noUncheckedIndexedAccess": true, + "skipLibCheck": true, + "target": "ES2022", + "outDir": "dist", + "declaration": true, + "jsx": "react-jsx", + "incremental": true + }, + "include": ["**/*.ts"] +}