/** * Community detection tests (vision §1, DECIDED 2026-09-13) — pure * structural Louvain over follows+supports, deterministic via seed. * Assertions are on SHAPE and MEMBER SETS, never community indices * (indices reshuffle; member sets are what labelings key to). */ import { strict as assert } from "node:assert"; import { describe, test } from "node:test"; import { detectCommunities, matchClusterLabelings, MIN_CLUSTER_SIZE } from "../src/core/clusters.ts"; import { clusterHue } from "../components/cluster-geometry.ts"; import type { Community } from "../src/core/clusters.ts"; import type { ClusterLabeling } from "../src/core/contracts.ts"; const ids = (n: number, prefix = "n") => [...Array(n).keys()].map((i) => `${prefix}${i}`); /** A clique on the given ids. */ const clique = (nodeIds: string[]) => nodeIds.flatMap((a, i) => nodeIds.slice(i + 1).map((b) => ({ from: a, to: b }))); const labeling = (id: string, core: string[], createdAt = "2026-09-01T00:00:00.000Z"): ClusterLabeling => ({ id, label: `label-${id}`, core, createdAt, }); describe("matchClusterLabelings", () => { test("claims a labeling while at least half its core survives in the community", () => { const community: Community = { members: ["a", "b", "c", "d", "e"] }; const records = [labeling("clu_1", ["a", "b", "x", "y"])]; // 2 of 4 survive — exactly half const [claim] = matchClusterLabelings([community], records); assert.equal(claim?.id, "clu_1"); // One fewer survivor: under half → relabel. const [dead] = matchClusterLabelings([{ members: ["a", "c", "d", "e", "f"] }], records); assert.equal(dead, null); }); test("single successor: a split core keeps its label in only one community", () => { const records = [labeling("clu_1", ["a", "b", "c", "d"])]; const left: Community = { members: ["a", "b", "z"] }; // 2 of 4 — half const right: Community = { members: ["c", "d", "w"] }; // 2 of 4 — half // Tie: larger overlap wins; equal → both eligible, greedy takes first come. const claims = matchClusterLabelings([left, right], records); const claimed = claims.filter((c) => c !== null); assert.equal(claimed.length, 1); assert.equal(claimed[0]?.id, "clu_1"); }); test("greedy: the best-overlapping community wins the record", () => { const records = [labeling("clu_1", ["a", "b", "c", "d"])]; const weak: Community = { members: ["a", "b", "q", "r", "s"] }; // 2/4 const strong: Community = { members: ["a", "b", "c", "x", "y"] }; // 3/4 const claims = matchClusterLabelings([weak, strong], records); assert.equal(claims[0], null); assert.equal(claims[1]?.id, "clu_1"); }); test("one record per community; newest record breaks ties", () => { const oldR = labeling("clu_old", ["a", "b"], "2026-09-01T00:00:00.000Z"); const newR = labeling("clu_new", ["a", "b"], "2026-09-02T00:00:00.000Z"); const community: Community = { members: ["a", "b", "c"] }; const [claim] = matchClusterLabelings([community], [oldR, newR]); assert.equal(claim?.id, "clu_new"); }); test("no labelings: every community unclaimed; empty communities array ok", () => { assert.deepEqual(matchClusterLabelings([{ members: ["a", "b"] }], []), [null]); assert.deepEqual(matchClusterLabelings([], [labeling("clu_1", ["a"])]), []); }); test("MIN_CLUSTER_SIZE is 3 (the render/naming threshold)", () => { assert.equal(MIN_CLUSTER_SIZE, 3); }); }); describe("clusterHue", () => { test("is stable per id and spreads", () => { // Same id → same hue, always; different ids → usually different hues. assert.equal(clusterHue("cluster-a"), clusterHue("cluster-a")); const hues = new Set(); for (let i = 0; i < 40; i++) hues.add(clusterHue(`cluster-${i}`)); assert.ok(hues.size > 20, `expected spread, got ${hues.size} distinct hues for 40 ids`); for (const h of hues) assert.ok(h >= 0 && h < 360); }); }); describe("detectCommunities", () => { test("two dense cliques joined by a single bridge split into two communities", () => { const left = ids(4, "L"); const right = ids(4, "R"); const bridge = { from: "L0", to: "R0" }; const result = detectCommunities([...left, ...right].map((id) => ({ id })), [...clique(left), ...clique(right), bridge]); assert.equal(result.communities.length, 2); assert.equal(result.modularity > 0.3, true); // Member sets, not order: the two big communities are exactly the cliques. const big = result.communities.filter((c) => c.members.length === 4); assert.deepEqual(big.map((c) => c.members.sort()).sort(), [left.slice().sort(), right.slice().sort()]); }); test("deterministic: same graph, same seed → identical partition", () => { const nodes = ids(10).map((id) => ({ id })); const edges = [...clique(ids(5)), ...clique(ids(5, "n").slice().reverse().slice(0, 5)), { from: "n0", to: "n9" }]; const a = detectCommunities(nodes, edges); const b = detectCommunities(nodes, edges); assert.deepEqual(a.communities, b.communities); assert.equal(a.modularity, b.modularity); }); test("no edges: every node is its own singleton community", () => { const result = detectCommunities(ids(3).map((id) => ({ id })), []); assert.equal(result.communities.length, 3); for (const c of result.communities) assert.equal(c.members.length, 1); assert.equal(result.modularity, 0); }); test("empty graph: zero communities", () => { assert.deepEqual(detectCommunities([], []), { communities: [], modularity: 0 }); }); test("duplicate and reversed pairs collapse to one edge (undirected, unweighted)", () => { const nodes = ["a", "b", "c"].map((id) => ({ id })); // follows a→b AND supports b→a — same pair twice, both directions. const result = detectCommunities(nodes, [ { from: "a", to: "b" }, { from: "b", to: "a" }, { from: "b", to: "c" }, ]); assert.equal(result.communities.length, 1); assert.deepEqual(result.communities[0]!.members.sort(), ["a", "b", "c"]); }); test("self-loops and unknown-endpoint edges are skipped defensively", () => { const nodes = ["a", "b"].map((id) => ({ id })); const result = detectCommunities(nodes, [ { from: "a", to: "a" }, // self-loop { from: "a", to: "ghost" }, // dangling { from: "ghost1", to: "ghost2" }, { from: "a", to: "b" }, // the one real edge ]); assert.equal(result.communities.length, 1); assert.deepEqual(result.communities[0]!.members.sort(), ["a", "b"]); }); test("members are sorted; communities ordered by size then id", () => { const left = ids(4, "L"); const right = ids(4, "R"); const result = detectCommunities( [...left, ...right, "iso"].map((id) => ({ id })), [...clique(left), ...clique(right), { from: "L0", to: "R0" }], ); for (const c of result.communities as Community[]) { const sorted = c.members.slice().sort(); assert.deepEqual(c.members, sorted); } // iso (isolated) is last: size 1 < 4. const last = result.communities[result.communities.length - 1]!; assert.deepEqual(last.members, ["iso"]); }); test("seed override changes nothing structurally but stays deterministic", () => { const nodes = ids(8).map((id) => ({ id })); const edges = [...clique(["n0", "n1", "n2", "n3"]), ...clique(["n4", "n5", "n6", "n7"]), { from: "n0", to: "n4" }]; const a = detectCommunities(nodes, edges, { seed: "one" }); const b = detectCommunities(nodes, edges, { seed: "one" }); const c = detectCommunities(nodes, edges, { seed: "two" }); assert.deepEqual(a.communities, b.communities); // A different seed partitions the same graph into member sets that // may or may not coincide — but both runs are 2 communities here, // because the structure dominates. assert.equal(c.communities.length, 2); }); });