From 4dfd54f6994f2cb0b237c3302f16be5d4de8755b Mon Sep 17 00:00:00 2001 From: Hao Zhang Date: Thu, 25 Dec 2025 13:54:10 +0800 Subject: [PATCH] Implement atsds-egg. --- egg/atsds_egg/index.mts | 259 ++ egg/jest.config.mjs | 8 + egg/package-lock.json | 7239 +++++++++++++++++++++++++++++++++++++ egg/package.json | 42 + egg/rollup.config.mjs | 27 + egg/tests/test_egraph.mjs | 226 ++ egg/tsconfig.json | 11 + 7 files changed, 7812 insertions(+) create mode 100644 egg/atsds_egg/index.mts create mode 100644 egg/jest.config.mjs create mode 100644 egg/package-lock.json create mode 100644 egg/package.json create mode 100644 egg/rollup.config.mjs create mode 100644 egg/tests/test_egraph.mjs create mode 100644 egg/tsconfig.json diff --git a/egg/atsds_egg/index.mts b/egg/atsds_egg/index.mts new file mode 100644 index 00000000..28ee461e --- /dev/null +++ b/egg/atsds_egg/index.mts @@ -0,0 +1,259 @@ +/** + * E-Graph implementation for atsds (TypeScript version) + * E-Graph (Equality Graph) for representing equivalence classes of terms. + */ + +import { List, type Term } from "atsds"; + +// Branded type for EClassId to ensure type safety, even though it's a number at runtime. +export type EClassId = number & { __brand: "EClassId" }; + +class DefaultMap extends Map { + constructor(private readonly factory: () => V) { + super(); + } + + get(key: K): V { + if (!this.has(key)) { + this.set(key, this.factory()); + } + return super.get(key)!; + } +} + +class UnionFind { + /** + * Union-find data structure for managing disjoint sets. + */ + public parent: Map; + + constructor() { + this.parent = new Map(); + } + + /** + * Find the canonical representative of x's set with path compression. + * @param x - The element to find. + * @returns The canonical representative of x's set. + */ + find(x: T): T { + if (!this.parent.has(x)) { + this.parent.set(x, x); + } + if (this.parent.get(x) !== x) { + this.parent.set(x, this.find(this.parent.get(x)!)); + } + return this.parent.get(x)!; + } + + /** + * Union two sets and return the canonical representative. + * @param a - The first element. + * @param b - The second element. + * @returns The canonical representative of the merged set. + */ + union(a: T, b: T): T { + const ra = this.find(a); + const rb = this.find(b); + if (ra !== rb) { + this.parent.set(rb, ra); + } + return ra; + } +} + +/** + * ENode - Node in the E-Graph with an operator and children. + */ +class ENode { + /** + * @param op - The operator + * @param children - The children E-class IDs + */ + constructor( + public op: string, + public children: EClassId[], + ) {} + + /** + * Canonicalize children using the find function. + * @param find - Function to find the canonical E-class ID. + * @returns A new ENode with canonicalized children. + */ + canonicalize(find: (id: EClassId) => EClassId): ENode { + return new ENode( + this.op, + this.children.map((c) => find(c)), + ); + } + + /** + * Get a string key representation for this ENode for use in Maps/Objects. + * @returns A unique string representation of this ENode. + */ + key(): string { + return `${this.op}(${this.children.join(",")})`; + } +} + +/** + * EGraph - E-Graph for representing equivalence classes of terms. + */ +class EGraph { + private next_id: number = 0; + private hashcons: Map = new Map(); + private unionfind: UnionFind = new UnionFind(); + private classes: DefaultMap> = new DefaultMap(() => new Set()); + private parents: DefaultMap> = new DefaultMap(() => new Set()); + private worklist: Set = new Set(); + + /** + * Generate a fresh E-class ID. + * @returns A new E-class ID. + */ + private freshId(): EClassId { + const eid = this.next_id as EClassId; + this.next_id += 1; + return eid; + } + + /** + * Find the canonical representative of an E-class. + * @param eclass - The E-class ID to find. + * @returns The canonical E-class ID. + */ + find(eclass: EClassId): EClassId { + return this.unionfind.find(eclass); + } + + /** + * Add a term to the E-Graph and return its E-class ID. + * @param term - An atsds Term to add to the E-Graph. + * @returns The E-class ID for the added term. + */ + add(term: Term): EClassId { + const enode = this.termToEnode(term); + return this.addEnode(enode); + } + + /** + * Convert an atsds Term to an ENode. + * @param term - The Term to convert. + * @returns The converted ENode. + */ + private termToEnode(term: Term): ENode { + const inner = term.term(); + + if (inner instanceof List) { + const children: EClassId[] = []; + for (let i = 0; i < inner.length(); i++) { + const childTerm = inner.getitem(i); + const childId = this.add(childTerm); + children.push(childId); + } + return new ENode("()", children); + } else { + return new ENode(term.toString(), []); + } + } + + /** + * Add an ENode to the E-Graph. + * @param enode - The ENode to add. + * @returns The E-class ID for the added ENode. + */ + private addEnode(enode: ENode): EClassId { + enode = enode.canonicalize(this.find.bind(this)); + + const enodeKey = enode.key(); + const entry = this.hashcons.get(enodeKey); + if (entry) { + return this.find(entry[1]); + } + + const eid = this.freshId(); + + this.hashcons.set(enodeKey, [enode, eid]); + this.unionfind.parent.set(eid, eid); + this.classes.get(eid).add(enode); + + for (const c of enode.children) { + this.parents.get(c).add([enode, eid]); + } + + return eid; + } + + /** + * Merge two E-classes and defer congruence restoration. + * @param a - The first E-class ID to merge. + * @param b - The second E-class ID to merge. + * @returns The canonical E-class ID of the merged class. + */ + merge(a: EClassId, b: EClassId): EClassId { + const ra = this.find(a); + const rb = this.find(b); + if (ra === rb) { + return ra; + } + + const r = this.unionfind.union(ra, rb); + + for (const node of this.classes.get(rb)) { + this.classes.get(r).add(node); + } + this.classes.delete(rb); + + for (const item of this.parents.get(rb)) { + this.parents.get(r).add(item); + } + this.parents.delete(rb); + + this.worklist.add(r); + + return r; + } + + /** + * Restore congruence by processing the worklist. + */ + rebuild(): void { + while (this.worklist.size > 0) { + const todo = new Set(Array.from(this.worklist).map((e) => this.find(e))); + this.worklist.clear(); + + for (const eclass of todo) { + this.repair(eclass); + } + } + } + + /** + * Restore congruence for a single E-class. + */ + private repair(eclass: EClassId): void { + const newParents = new Map(); + + for (const [pnode, peclass] of this.parents.get(eclass)) { + this.hashcons.delete(pnode.key()); + + const canon = pnode.canonicalize(this.find.bind(this)); + const canonKey = canon.key(); + const canonicalPeclass = this.find(peclass); + + if (newParents.has(canonKey)) { + this.merge(canonicalPeclass, newParents.get(canonKey)![1]); + } else { + newParents.set(canonKey, [canon, canonicalPeclass]); + this.hashcons.set(canonKey, [canon, canonicalPeclass]); + } + } + + this.parents.get(eclass).clear(); + for (const [_, entry] of newParents) { + this.parents.get(eclass).add(entry); + } + } +} + +export { DefaultMap, UnionFind, ENode, EGraph }; diff --git a/egg/jest.config.mjs b/egg/jest.config.mjs new file mode 100644 index 00000000..a3532ff0 --- /dev/null +++ b/egg/jest.config.mjs @@ -0,0 +1,8 @@ +export default { + testMatch: ["/tests/test_*.mjs"], + collectCoverage: true, + extensionsToTreatAsEsm: [".mts"], + transform: { + "^.+\\.m?tsx?$": ["ts-jest", {}], + }, +}; diff --git a/egg/package-lock.json b/egg/package-lock.json new file mode 100644 index 00000000..ad805a9d --- /dev/null +++ b/egg/package-lock.json @@ -0,0 +1,7239 @@ +{ + "name": "atsds-egg", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "atsds-egg", + "license": "AGPL-3.0-or-later", + "dependencies": { + "atsds": "^0.0.11" + }, + "devDependencies": { + "@rollup/plugin-terser": "^0.4.4", + "@rollup/plugin-typescript": "^12.3.0", + "@types/jest": "^30.0.0", + "cross-env": "^10.1.0", + "jest": "^30.2.0", + "npm-run-all": "^4.1.5", + 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"files": [ + "dist/index.d.mts", + "dist/index.mjs" + ], + "scripts": { + "build": "rollup --config rollup.config.mjs", + "test": "cross-env NODE_OPTIONS='$NODE_OPTIONS --experimental-vm-modules' jest --config=jest.config.mjs", + "all": "run-s build test" + }, + "dependencies": { + "atsds": "^0.0.11" + }, + "devDependencies": { + "@rollup/plugin-terser": "^0.4.4", + "@rollup/plugin-typescript": "^12.3.0", + "@types/jest": "^30.0.0", + "cross-env": "^10.1.0", + "jest": "^30.2.0", + "npm-run-all": "^4.1.5", + "rollup": "^4.54.0", + "rollup-plugin-dts": "^6.3.0", + "ts-jest": "^29.4.6", + "tslib": "^2.8.1", + "typescript": "^5.9.3" + } +} diff --git a/egg/rollup.config.mjs b/egg/rollup.config.mjs new file mode 100644 index 00000000..dacd6eec --- /dev/null +++ b/egg/rollup.config.mjs @@ -0,0 +1,27 @@ +import terser from "@rollup/plugin-terser"; +import typescript from "@rollup/plugin-typescript"; +import { dts } from "rollup-plugin-dts"; + +export default [ + { + input: "atsds_egg/index.mts", + output: [ + { + file: "dist/index.mjs", + format: "es", + }, + ], + external: ["atsds"], + plugins: [typescript(), terser()], + }, + { + input: "atsds_egg/index.mts", + output: [ + { + file: "dist/index.d.mts", + format: "es", + }, + ], + plugins: [dts()], + }, +]; diff --git a/egg/tests/test_egraph.mjs b/egg/tests/test_egraph.mjs new file mode 100644 index 00000000..b5f92760 --- /dev/null +++ b/egg/tests/test_egraph.mjs @@ -0,0 +1,226 @@ +/** + * Tests for the EGraph implementation in atsds-egg + */ +import { Term } from "atsds"; +import { EGraph, ENode, UnionFind } from "../dist/index.mjs"; + +test("unionfind_basic", () => { + const uf = new UnionFind(); + const a = 0; + const b = 1; + + expect(uf.find(a)).toBe(a); + expect(uf.find(b)).toBe(b); + + uf.union(a, b); + expect(uf.find(a)).toBe(uf.find(b)); +}); + +test("unionfind_path_compression", () => { + const uf = new UnionFind(); + const a = 0; + const b = 1; + const c = 2; + + uf.union(a, b); + uf.union(b, c); + + expect(uf.find(a)).toBe(uf.find(c)); +}); + +test("enode_creation", () => { + const a = 0; + const b = 1; + const node = new ENode("+", [a, b]); + + expect(node.op).toBe("+"); + expect(node.children).toEqual([a, b]); +}); + +test("enode_canonicalize", () => { + const uf = new UnionFind(); + const a = 0; + const b = 1; + const c = 2; + const d = 3; + + uf.union(a, c); + uf.union(d, b); + + const node = new ENode("+", [a, b]); + const canon = node.canonicalize(uf.find.bind(uf)); + + expect(canon.children[0]).toBe(uf.find(a)); + expect(canon.children[1]).toBe(uf.find(b)); +}); + +test("enode_key", () => { + const a = 0; + const b = 1; + const node1 = new ENode("+", [a, b]); + const node2 = new ENode("+", [a, b]); + + expect(node1.key()).toBe(node2.key()); +}); + +test("egraph_add_item", () => { + const eg = new EGraph(); + const x = eg.add(new Term("x")); + + expect(typeof x).toBe("number"); + expect(eg.find(x)).toBe(x); +}); + +test("egraph_add_variable", () => { + const eg = new EGraph(); + const x = eg.add(new Term("`x")); + + expect(typeof x).toBe("number"); + expect(eg.find(x)).toBe(x); +}); + +test("egraph_add_list", () => { + const eg = new EGraph(); + const lst = eg.add(new Term("(a b c)")); + + expect(typeof lst).toBe("number"); + expect(eg.find(lst)).toBe(lst); +}); + +test("egraph_add_same_term_twice", () => { + const eg = new EGraph(); + const x1 = eg.add(new Term("x")); + const x2 = eg.add(new Term("x")); + + expect(x1).toBe(x2); +}); + +test("egraph_add_compound_term", () => { + const eg = new EGraph(); + const a = eg.add(new Term("a")); + const x = eg.add(new Term("x")); + const ax = eg.add(new Term("(+ a x)")); + + expect(eg.find(a)).toBe(a); + expect(eg.find(x)).toBe(x); + expect(eg.find(ax)).toBe(ax); +}); + +test("egraph_merge_simple", () => { + const eg = new EGraph(); + const a = eg.add(new Term("a")); + const b = eg.add(new Term("b")); + + expect(eg.find(a)).not.toBe(eg.find(b)); + + eg.merge(a, b); + + expect(eg.find(a)).toBe(eg.find(b)); +}); + +test("egraph_merge_idempotent", () => { + const eg = new EGraph(); + const a = eg.add(new Term("a")); + const b = eg.add(new Term("b")); + + const r1 = eg.merge(a, b); + const r2 = eg.merge(a, b); + + expect(r1).toBe(r2); +}); + +test("egraph_congruence", () => { + const eg = new EGraph(); + + const ax = eg.add(new Term("(+ a x)")); + const bx = eg.add(new Term("(+ b x)")); + + expect(eg.find(ax)).not.toBe(eg.find(bx)); + + const a = eg.add(new Term("a")); + const b = eg.add(new Term("b")); + + eg.merge(a, b); + eg.rebuild(); + + expect(eg.find(ax)).toBe(eg.find(bx)); +}); + +test("egraph_congruence_nested", () => { + const eg = new EGraph(); + + const acc = eg.add(new Term("(g (f a x) c x)")); + const bcc = eg.add(new Term("(g (f b x) d x)")); + + const a = eg.add(new Term("a")); + const b = eg.add(new Term("b")); + const c = eg.add(new Term("c")); + const d = eg.add(new Term("d")); + + eg.merge(a, b); + eg.merge(c, d); + eg.rebuild(); + + expect(eg.find(acc)).toBe(eg.find(bcc)); +}); + +test("egraph_multiple_merges", () => { + const eg = new EGraph(); + + const a = eg.add(new Term("a")); + const b = eg.add(new Term("b")); + const c = eg.add(new Term("c")); + + eg.merge(a, b); + eg.merge(b, c); + + expect(eg.find(a)).toBe(eg.find(c)); +}); + +test("egraph_immediate_congruence", () => { + const eg = new EGraph(); + const a = eg.add(new Term("a")); + + expect(eg.find(a)).toBe(a); +}); + +test("egraph_mixed_terms", () => { + const eg = new EGraph(); + + const item = eg.add(new Term("item")); + const varTerm = eg.add(new Term("`var")); + const lst = eg.add(new Term("(item `var)")); + + expect(typeof item).toBe("number"); + expect(typeof varTerm).toBe("number"); + expect(typeof lst).toBe("number"); +}); + +test("egraph_empty_list", () => { + const eg = new EGraph(); + + const empty = eg.add(new Term("()")); + + expect(typeof empty).toBe("number"); + expect(eg.find(empty)).toBe(empty); +}); + +test("egraph_nested_lists", () => { + const eg = new EGraph(); + + const inner = eg.add(new Term("(a b)")); + const outer = eg.add(new Term("((a b) c)")); + + expect(typeof inner).toBe("number"); + expect(typeof outer).toBe("number"); +}); + +test("egraph_hashcons", () => { + const eg = new EGraph(); + + const ab1 = eg.add(new Term("(f a b)")); + const ab2 = eg.add(new Term("(f a b)")); + + expect(ab1).toBe(ab2); + expect(eg.classes.size).toBe(4); +}); diff --git a/egg/tsconfig.json b/egg/tsconfig.json new file mode 100644 index 00000000..c39de7b5 --- /dev/null +++ b/egg/tsconfig.json @@ -0,0 +1,11 @@ +{ + "compilerOptions": { + "target": "esnext", + "module": "esnext", + "strict": true, + "esModuleInterop": true, + "isolatedModules": true, + "skipLibCheck": true + }, + "include": ["atsds_egg/*"] +}