104 lines
4.5 KiB
TypeScript
104 lines
4.5 KiB
TypeScript
/**
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* Community detection tests (vision §1, DECIDED 2026-09-13) — pure
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* structural Louvain over follows+supports, deterministic via seed.
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* Assertions are on SHAPE and MEMBER SETS, never community indices
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* (indices reshuffle; member sets are what labelings key to).
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*/
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import { strict as assert } from "node:assert";
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import { describe, test } from "node:test";
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import { detectCommunities } from "../src/core/clusters.ts";
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import type { Community } from "../src/core/clusters.ts";
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const ids = (n: number, prefix = "n") => [...Array(n).keys()].map((i) => `${prefix}${i}`);
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/** A clique on the given ids. */
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const clique = (nodeIds: string[]) =>
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nodeIds.flatMap((a, i) => nodeIds.slice(i + 1).map((b) => ({ from: a, to: b })));
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describe("detectCommunities", () => {
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test("two dense cliques joined by a single bridge split into two communities", () => {
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const left = ids(4, "L");
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const right = ids(4, "R");
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const bridge = { from: "L0", to: "R0" };
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const result = detectCommunities([...left, ...right].map((id) => ({ id })), [...clique(left), ...clique(right), bridge]);
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assert.equal(result.communities.length, 2);
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assert.equal(result.modularity > 0.3, true);
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// Member sets, not order: the two big communities are exactly the cliques.
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const big = result.communities.filter((c) => c.members.length === 4);
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assert.deepEqual(big.map((c) => c.members.sort()).sort(), [left.slice().sort(), right.slice().sort()]);
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});
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test("deterministic: same graph, same seed → identical partition", () => {
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const nodes = ids(10).map((id) => ({ id }));
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const edges = [...clique(ids(5)), ...clique(ids(5, "n").slice().reverse().slice(0, 5)), { from: "n0", to: "n9" }];
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const a = detectCommunities(nodes, edges);
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const b = detectCommunities(nodes, edges);
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assert.deepEqual(a.communities, b.communities);
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assert.equal(a.modularity, b.modularity);
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});
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test("no edges: every node is its own singleton community", () => {
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const result = detectCommunities(ids(3).map((id) => ({ id })), []);
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assert.equal(result.communities.length, 3);
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for (const c of result.communities) assert.equal(c.members.length, 1);
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assert.equal(result.modularity, 0);
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});
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test("empty graph: zero communities", () => {
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assert.deepEqual(detectCommunities([], []), { communities: [], modularity: 0 });
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});
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test("duplicate and reversed pairs collapse to one edge (undirected, unweighted)", () => {
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const nodes = ["a", "b", "c"].map((id) => ({ id }));
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// follows a→b AND supports b→a — same pair twice, both directions.
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const result = detectCommunities(nodes, [
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{ from: "a", to: "b" },
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{ from: "b", to: "a" },
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{ from: "b", to: "c" },
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]);
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assert.equal(result.communities.length, 1);
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assert.deepEqual(result.communities[0].members.sort(), ["a", "b", "c"]);
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});
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test("self-loops and unknown-endpoint edges are skipped defensively", () => {
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const nodes = ["a", "b"].map((id) => ({ id }));
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const result = detectCommunities(nodes, [
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{ from: "a", to: "a" }, // self-loop
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{ from: "a", to: "ghost" }, // dangling
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{ from: "ghost1", to: "ghost2" },
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{ from: "a", to: "b" }, // the one real edge
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]);
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assert.equal(result.communities.length, 1);
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assert.deepEqual(result.communities[0].members.sort(), ["a", "b"]);
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});
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test("members are sorted; communities ordered by size then id", () => {
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const left = ids(4, "L");
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const right = ids(4, "R");
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const result = detectCommunities(
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[...left, ...right, "iso"].map((id) => ({ id })),
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[...clique(left), ...clique(right), { from: "L0", to: "R0" }],
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);
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for (const c of result.communities as Community[]) {
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const sorted = c.members.slice().sort();
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assert.deepEqual(c.members, sorted);
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}
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// iso (isolated) is last: size 1 < 4.
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const last = result.communities[result.communities.length - 1];
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assert.deepEqual(last.members, ["iso"]);
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});
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test("seed override changes nothing structurally but stays deterministic", () => {
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const nodes = ids(8).map((id) => ({ id }));
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const edges = [...clique(["n0", "n1", "n2", "n3"]), ...clique(["n4", "n5", "n6", "n7"]), { from: "n0", to: "n4" }];
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const a = detectCommunities(nodes, edges, { seed: "one" });
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const b = detectCommunities(nodes, edges, { seed: "one" });
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const c = detectCommunities(nodes, edges, { seed: "two" });
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assert.deepEqual(a.communities, b.communities);
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// A different seed partitions the same graph into member sets that
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// may or may not coincide — but both runs are 2 communities here,
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// because the structure dominates.
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assert.equal(c.communities.length, 2);
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});
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});
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