#!/usr/bin/env node /* * contraction.test.mjs — the CH construction core gates (C1–C7). * ------------------------------------------------------------------ * RED first (plan 08.1-01 task 1): every case fails while * routing/src/contraction.ts does not exist (lazy-import pattern — * each case reports its own ERR_MODULE_NOT_FOUND, the landmark.test.mjs * precedent this suite replaces). * * The module under test is the ONE contraction authority (the * single-authority law): build-time node ordering + contraction + * overlay-only witness search + shortcut emission, deterministic and * pure. The case index: * * C1 total order — ranks are distinct and cover exactly [0, N) * (a tie would drop legitimate upward edges — * research Pitfall 9) * C2 shortcut weights — every emitted shortcut's seconds equal the * sum of the weights of the two edges it * replaced (f32 round-trip tolerance) * C3 upward shortcuts — rank(from) > rank(via) and rank(to) > * rank(via) for every shortcut (the query's * strict uphill law depends on it) * C4 hand fixture — a 3-node bidirectional path yields the * LITERAL expected contraction order and * shortcut set (never a tautology — research * Pitfall 10) * C5 overlay witness — the witness search sees ONLY the overlay * graph: a previously contracted node cannot * witness a shortcut, so the shortcut that * keeps the hierarchy distance-preserving IS * emitted (the #1 correctness trap — research * Pitfall 1) * C6 explosion tripwire — a budget-miss cascade above * CH_SHORTCUT_EXPLOSION_RATIO * nodeCount * fails loud, naming the ratio and the * measured count; a healthy graph passes * C7 determinism — two calls on identical input produce * byte-identical rank and shortcut arrays * * Run: npm run routing:test (exit 0 = all green) */ import { strict as assert } from "node:assert"; import { test } from "./harness.mjs"; // Lazy module load — missing module => per-case ERR_MODULE_NOT_FOUND (RED). let contractionPromise = null; function loadContraction() { if (!contractionPromise) contractionPromise = import("../src/contraction.ts"); return contractionPromise; } /* ————— hand-built fixtures (hand-computed expectations) ————— */ /** * Two independent overlay gadgets (nodes 0-3 and 4-7), the C5 shape at * two weight classes (1+1 and 2+3). Hand-traced: inside each gadget ALL * four priorities tie at −2 → the id order contracts the bypass first * (its own pair is witnessed by the then-alive u → no shortcut), then u * — whose pair has lost its only witness to the contraction → the * shortcut a→b (via u) MUST be emitted. Result: exactly two shortcuts, * 2→3 (w2, via 1) and 6→7 (w5, via 5) — a non-trivial invariant-sweep * fixture for C1/C2/C3/C7. */ function pairsInput() { return { nodeCount: 8, edges: [ { from: 2, to: 1, seconds: 1, flags: 0 }, // a -> u (gadget A) { from: 1, to: 3, seconds: 1, flags: 0 }, // u -> b { from: 2, to: 0, seconds: 1, flags: 0 }, // a -> c { from: 0, to: 3, seconds: 1, flags: 0 }, // c -> b { from: 6, to: 5, seconds: 2, flags: 0 }, // a -> u (gadget B) { from: 5, to: 7, seconds: 3, flags: 0 }, // u -> b { from: 6, to: 4, seconds: 2, flags: 0 }, // a -> c { from: 4, to: 7, seconds: 3, flags: 0 }, // c -> b ], }; } /** * C4's hand fixture: a 3-node bidirectional star — the MID node has id 0, * the two endpoints ids 1 and 2, all four edges unit weight. * HAND-COMPUTED under the plan's exact algorithm: every node's priority * ties at −2 (the mid: 2 shortcuts would be added − 4 incident edges; * an endpoint: 0 pairs − its 2 mirror edges), so the tie-break contracts * the mid (id 0) FIRST. Its pairs (1,2) and (2,1) have no overlay * witness (the endpoints' only edges ride the mid), so BOTH shortcuts * are emitted with weight 1+1 = 2. The endpoints then contract free * (their only edges are dead; deletedNeighbours = 1 each). Literal * expectation below — never a tautology (research Pitfall 10). */ function handInput() { return { nodeCount: 3, edges: [ { from: 0, to: 1, seconds: 1, flags: 0 }, { from: 1, to: 0, seconds: 1, flags: 0 }, { from: 0, to: 2, seconds: 1, flags: 0 }, { from: 2, to: 0, seconds: 1, flags: 0 }, ], }; } /** * C5's hand fixture: the overlay-witness law. Nodes: 0 = the bypass c, * 1 = the mid node u, 2 = the witness source a, 3 = the target b. Edges: * a→u→b (1+1) and a→c→b (1+1). ALL four priorities tie at −2 → the id * order contracts the bypass (node 0) FIRST: its own pair (a,b) is * witnessed by the then-alive u → no shortcut. When u (node 1) pops, its * pair (a=2, b=3) had a witness ONLY through the bypass — now CONTRACTED * — so the overlay search cannot traverse it and the shortcut a→b * (via u, weight 2) MUST be emitted. On the ORIGINAL graph the a→c→b * path still exists; a witness search that leaked out of the overlay * would find it and silently drop the required shortcut — the exact #1 * trap, and the emitted shortcut is what keeps the hierarchy * distance-preserving. */ function overlayInput() { return { nodeCount: 4, edges: [ { from: 2, to: 1, seconds: 1, flags: 0 }, // a -> u { from: 1, to: 3, seconds: 1, flags: 0 }, // u -> b { from: 2, to: 0, seconds: 1, flags: 0 }, // a -> c { from: 0, to: 3, seconds: 1, flags: 0 }, // c -> b ], }; } /** * C6's explosion fixture (9 nodes, 40 edges): node 0 is the BYPASS hub, * node 1 the BURST hub, nodes 2..8 the seven Y nodes; both hubs ride * every Y with weight 1 in both directions, and the Y nodes carry a * weight-100 ring (never on a cheapest path — pure degree ballast). * HAND-TRACED under the plan's exact algorithm: the two hubs tie at * priority −14 (42 pairs, all witnessed by the OTHER hub — 0 shortcuts — * minus 14 incident edges) and the Y nodes sit at −6, so the tie-break * contracts the bypass (id 0) FIRST. Its own 42 pairs are witnessed by * the still-alive burst hub → no shortcuts. The burst hub's pop then * recomputes against the overlay: its witness (the bypass) is DEAD, the * weight-100 ring exceeds every candidate bound → all 7×6 = 42 pairs * emit shortcuts (2 each, via the burst hub) — 42 > 4×9 = 36 → the * tripwire MUST fail loud. (The Y nodes then witness each other through * the fresh shortcuts — no further growth — but the count already blew * the guard.) */ function explosionInput() { const edges = []; for (let y = 2; y <= 8; y++) { edges.push({ from: 0, to: y, seconds: 1, flags: 0 }); edges.push({ from: y, to: 0, seconds: 1, flags: 0 }); edges.push({ from: 1, to: y, seconds: 1, flags: 0 }); edges.push({ from: y, to: 1, seconds: 1, flags: 0 }); } for (let y = 2; y < 8; y++) { edges.push({ from: y, to: y + 1, seconds: 100, flags: 0 }); edges.push({ from: y + 1, to: y, seconds: 100, flags: 0 }); } return { nodeCount: 9, edges }; } /** Min seconds over the ORIGINAL traversable (bit0-clear) edges u->v. */ function minTraversableSeconds(input, from, to) { let best = Infinity; for (const e of input.edges) { if (e.from === from && e.to === to && (e.flags & 1) === 0 && e.seconds < best) { best = e.seconds; } } return best; } /* ————— C1–C7 ————— */ test("C1 total order — ranks are distinct and cover exactly [0, nodeCount)", async () => { const { contractGraph, CH_LAMBDA_DELETED_NEIGHBOURS } = await loadContraction(); assert.equal(CH_LAMBDA_DELETED_NEIGHBOURS, 1, "the λ constant is the named export"); const input = pairsInput(); const result = contractGraph(input); assert.ok(result.rank instanceof Uint32Array, "rank is a Uint32Array"); assert.equal(result.rank.length, input.nodeCount, "one rank per node"); const seen = new Set(result.rank); assert.equal(seen.size, input.nodeCount, "ranks are DISTINCT (a tie drops upward edges — Pitfall 9)"); for (const r of result.rank) { assert.ok(Number.isInteger(r) && r >= 0 && r < input.nodeCount, `rank ${r} in [0, ${input.nodeCount})`); } // stats travel with the result (the build prints them — D-08/D-09) assert.equal(typeof result.stats.shortcutCount, "number"); assert.equal(typeof result.stats.ratioPerNode, "number"); assert.equal(typeof result.stats.witnessSearches, "number"); assert.equal(typeof result.stats.witnessBudgetHits, "number"); assert.equal(result.stats.shortcutCount, result.shortcutTarget.length, "stats agree with the CSR"); assert.ok( Math.abs(result.stats.ratioPerNode - result.stats.shortcutCount / input.nodeCount) < 1e-12, "ratioPerNode is shortcuts / nodeCount", ); }); test("C2 shortcut weights — every shortcut's seconds equal the sum of the two edges it replaced", async () => { const { contractGraph } = await loadContraction(); const input = pairsInput(); const result = contractGraph(input); assert.ok(result.shortcutTarget.length > 0, "the chain fixture emits at least one shortcut"); for (let u = 0; u < input.nodeCount; u++) { for (let s = result.shortcutStart[u]; s < result.shortcutStart[u + 1]; s++) { const to = result.shortcutTarget[s]; const via = result.shortcutVia[s]; const w1 = minTraversableSeconds(input, u, via); const w2 = minTraversableSeconds(input, via, to); assert.ok( Number.isFinite(w1) && Number.isFinite(w2), `shortcut ${u}->${to} (via ${via}): both constituent edges exist in the input`, ); assert.ok( Math.abs(result.shortcutSeconds[s] - (w1 + w2)) < 1e-6, `shortcut ${u}->${to}: ${result.shortcutSeconds[s]} === ${w1} + ${w2} (f32 tolerance)`, ); } } }); test("C3 upward shortcuts — rank(from) > rank(via) and rank(to) > rank(via) for every shortcut", async () => { const { contractGraph } = await loadContraction(); const input = pairsInput(); const result = contractGraph(input); assert.ok(result.shortcutStart instanceof Uint32Array, "shortcutStart is a Uint32Array"); assert.equal(result.shortcutStart.length, input.nodeCount + 1, "CSR row pointers: N+1 entries"); for (let u = 0; u < input.nodeCount; u++) { for (let s = result.shortcutStart[u]; s < result.shortcutStart[u + 1]; s++) { const to = result.shortcutTarget[s]; const via = result.shortcutVia[s]; assert.ok( result.rank[u] > result.rank[via], `shortcut ${u}->${to}: rank(from)=${result.rank[u]} > rank(via)=${result.rank[via]}`, ); assert.ok( result.rank[to] > result.rank[via], `shortcut ${u}->${to}: rank(to)=${result.rank[to]} > rank(via)=${result.rank[via]}`, ); } } }); test("C4 hand fixture — the 3-node star yields its literal contraction order and shortcut set", async () => { const { contractGraph } = await loadContraction(); const result = contractGraph(handInput()); // Literal rank (hand-computed in handInput's doc comment): the mid node // (id 0) contracts first on the priority tie; endpoints follow by id. assert.deepEqual([...result.rank], [0, 1, 2], "rank: the mid node first, then endpoints by id"); // Literal shortcut set: 1->2 (via 0, w2) and 2->1 (via 0, w2). assert.deepEqual([...result.shortcutStart], [0, 0, 1, 2], "CSR: node 0 has 0, node 1 has 1, node 2 has 1"); assert.deepEqual([...result.shortcutTarget], [2, 1], "targets: 1->2 and 2->1"); assert.deepEqual([...result.shortcutSeconds], [2, 2], "unit weights sum to 2"); assert.deepEqual([...result.shortcutVia], [0, 0], "both shortcuts ride the contracted mid node"); assert.equal(result.stats.shortcutCount, 2); }); test("C5 overlay witness law — a contracted node cannot witness a shortcut (the #1 trap)", async () => { const { contractGraph } = await loadContraction(); const result = contractGraph(overlayInput()); // Hand-traced (overlayInput's doc comment): the bypass (node 0) // contracts first; when the mid node u (node 1) contracts, its pair // (a=2 -> b=3) has NO overlay witness left (the bypass is contracted), // so the shortcut 2->3 (via 1) MUST be emitted — the emitted shortcut // is exactly what keeps the overlay distance-preserving. const found = []; for (let u = 0; u < 4; u++) { for (let s = result.shortcutStart[u]; s < result.shortcutStart[u + 1]; s++) { found.push({ from: u, to: result.shortcutTarget[s], seconds: result.shortcutSeconds[s], via: result.shortcutVia[s] }); } } assert.equal(found.length, 1, `exactly the one required shortcut was emitted (got ${JSON.stringify(found)})`); assert.equal(found[0].from, 2, "shortcut source is a"); assert.equal(found[0].to, 3, "shortcut target is b"); assert.equal(found[0].via, 1, "via is the contracted mid node u"); assert.ok(Math.abs(found[0].seconds - 2) < 1e-6, "weight is the 1+1 sum"); }); test("C6 explosion tripwire — fails loud above CH_SHORTCUT_EXPLOSION_RATIO * nodeCount; a healthy graph passes", async () => { const { contractGraph, CH_SHORTCUT_EXPLOSION_RATIO, CH_WPS_MAX_SETTLED, CH_WPS_SETTLED_PER_DEGREE } = await loadContraction(); assert.equal(CH_SHORTCUT_EXPLOSION_RATIO, 4, "the tripwire ratio is the named constant"); assert.equal(CH_WPS_MAX_SETTLED, 60, "the witness settle budget floor is the named constant"); assert.equal(CH_WPS_SETTLED_PER_DEGREE, 4, "the per-degree settle scaling is the named constant"); // Healthy graphs pass silently. assert.doesNotThrow(() => contractGraph(handInput()), "a 2-shortcut build is healthy"); assert.doesNotThrow(() => contractGraph(pairsInput()), "the two-gadget build is healthy"); // The hand-traced cascade: 42 shortcuts on 9 nodes (4×9 = 36) — the // message names the ratio and the measured count. assert.throws( () => contractGraph(explosionInput()), (err) => { assert.ok(err instanceof Error, "the tripwire throws an Error"); assert.match(err.message, /shortcut explosion/, "the message names the failure"); assert.match(err.message, /42/, "the message names the measured shortcut count"); assert.match(err.message, /4/, "the message names the ratio"); return true; }, "the budget-miss cascade fails loud above the ratio", ); }); test("C7 determinism — identical input yields byte-identical rank and shortcut arrays", async () => { const { contractGraph } = await loadContraction(); const a = contractGraph(pairsInput()); const b = contractGraph(pairsInput()); assert.deepEqual([...a.rank], [...b.rank], "ranks identical"); assert.deepEqual([...a.shortcutStart], [...b.shortcutStart], "CSR pointers identical"); assert.deepEqual([...a.shortcutTarget], [...b.shortcutTarget], "targets identical"); assert.deepEqual([...a.shortcutSeconds], [...b.shortcutSeconds], "seconds identical"); assert.deepEqual([...a.shortcutVia], [...b.shortcutVia], "via identical"); assert.equal(a.stats.witnessSearches, b.stats.witnessSearches, "even the stats are deterministic"); // The oneway bit0 law: a blocked mirror edge is never relaxed — dropping // the traversable direction changes the result; the FLAGGED one does not. const withBlocked = { nodeCount: 3, edges: [ { from: 0, to: 1, seconds: 1, flags: 0 }, { from: 1, to: 0, seconds: 1, flags: 1 }, // bit0: stored, NEVER relaxed { from: 1, to: 2, seconds: 1, flags: 0 }, { from: 2, to: 1, seconds: 1, flags: 0 }, ], }; const blocked = contractGraph(withBlocked); // 1->0 is blocked, so node 0 has no in-edge: contracting 1 emits only 0->2. assert.deepEqual([...blocked.shortcutStart], [0, 1, 1, 1], "only node 0's shortcut exists"); assert.deepEqual([...blocked.shortcutTarget], [2], "0->2 via 1"); assert.deepEqual([...blocked.shortcutVia], [1]); assert.equal(blocked.stats.shortcutCount, 1, "the bit0 edge was never relaxed"); });