araharah-executor
5b7a1300c2
farthestPointAnchors + landmarkTables + landmarkCoverage over the ĉ metric: edge weights floor-quantized once (Math.floor(seconds/q)), exact integer Dijkstras (Int32 labels, binary heap, lazy deletion), 0xFFFF sentinel, 65000-quantum loud overflow. Traversal law mirrors astar.ts verbatim: bit0 edges never relaxed in EITHER direction. Test-vector corrections caught at GREEN (expectations were wrong, implementation was right): - L4: rows index by anchor POSITION (row-major [l*N+v]), not node id - L6: the c-metric farthest node from corner 0 is interior node 18 (297q: interior hops cost 2x perimeter), not corner 24 (264q) — verified against an independent brute-force Dijkstra
218 lines
9.9 KiB
JavaScript
218 lines
9.9 KiB
JavaScript
#!/usr/bin/env node
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/*
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* landmark.test.mjs — the pure landmark compute core gates (L1–L6).
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* ------------------------------------------------------------------
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* RED first (plan 08-02 task 1): every case fails while
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* routing/src/landmark.ts does not exist (lazy-import pattern — each
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* case reports its own ERR_MODULE_NOT_FOUND).
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*
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* The ALT preprocessing core (research Pattern 2): distances live in the
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* ĉ metric — edge weights floor-quantized ONCE to fixed 0.1 s units —
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* and every table cell is an EXACT integer Dijkstra result. Hand-computed
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* expectations below; JS arithmetic is deterministic so the pinned quanta
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* (verified: floor(2.55/0.1)=25, floor(3/0.1)=30, floor(1.5/0.1)=15,
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* grid perimeter hop=33, interior hop=66) are stable.
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*
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* L1 anchors — farthestPointAnchors: deterministic, degree>=2
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* filtered, well-spread on the 5-node path
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* L2 quantum exactness — 2.55 s edge -> 25 quanta; two edges -> 50
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* exactly (integer arithmetic, no float drift)
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* L3 sentinel + self — unreachable pairs -> 0xFFFF; the landmark's
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* own cell = 0 (oneway chain + isolated node)
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* L4 asymmetry — to/from rows differ on a oneway graph
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* L5 overflow throws — any label > 65000 quanta throws, naming the
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* distance and the fix (raise landmarkQuantumS)
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* L6 5x5 grid shape — anchors [0, 18] (interior node 18 is the ĉ
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* farthest at 297 quanta); coverage 1.0
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*
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* Run: npm run routing:test (exit 0 = all green)
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*/
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import { strict as assert } from "node:assert";
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import { test } from "./harness.mjs";
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let landmarkPromise = null;
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function loadLandmark() {
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if (!landmarkPromise) landmarkPromise = import("../src/landmark.ts");
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return landmarkPromise;
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}
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/* ————— hand-built vectors ————— */
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/** 5-node path 0-1-2-3-4, two-way, 3.0 s per edge (30 quanta @ 0.1). */
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function pathInput() {
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const edges = [];
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for (let u = 0; u < 4; u++) {
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edges.push({ from: u, to: u + 1, seconds: 3, flags: 0 });
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edges.push({ from: u + 1, to: u, seconds: 3, flags: 0 });
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}
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return { nodeCount: 5, edges, quantumS: 0.1 };
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}
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/** Oneway chain 0->1->2 (bit0 mirrors) + isolated node 3, 1.5 s/edge. */
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function onewayInput() {
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return {
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nodeCount: 4,
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edges: [
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{ from: 0, to: 1, seconds: 1.5, flags: 0 },
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{ from: 1, to: 0, seconds: 1.5, flags: 1 }, // blocked mirror
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{ from: 1, to: 2, seconds: 1.5, flags: 0 },
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{ from: 2, to: 1, seconds: 1.5, flags: 1 }, // blocked mirror
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],
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quantumS: 0.1,
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};
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}
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/** The fixture builder's exact 5x5 grid shape (25 nodes, 80 edge entries,
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* perimeter 60 km/h / interior 30 km/h, one oneway mirror at 3->2). */
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async function gridInput() {
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const { haversineM } = await import("../src/geo.ts");
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const GRID = 5;
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const lat = [];
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const lng = [];
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for (let r = 0; r < GRID; r++) {
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for (let c = 0; c < GRID; c++) {
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lat.push((3150000 + r * 500) / 1e6);
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lng.push((101690000 + c * 500) / 1e6);
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}
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}
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const id = (r, c) => r * GRID + c;
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const edges = [];
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function addEdge(u, v, perimeter) {
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const kmh = perimeter ? 60 : 30;
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const meters = haversineM({ lat: lat[u], lng: lng[u] }, { lat: lat[v], lng: lng[v] });
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edges.push({ from: u, to: v, seconds: meters / (kmh / 3.6), flags: 0 });
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}
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for (let r = 0; r < GRID; r++) {
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for (let c = 0; c < GRID - 1; c++) {
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const perimeter = r === 0 || r === GRID - 1;
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addEdge(id(r, c), id(r, c + 1), perimeter);
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addEdge(id(r, c + 1), id(r, c), perimeter);
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}
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}
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for (let c = 0; c < GRID; c++) {
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for (let r = 0; r < GRID - 1; r++) {
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const perimeter = c === 0 || c === GRID - 1;
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addEdge(id(r, c), id(r + 1, c), perimeter);
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addEdge(id(r + 1, c), id(r, c), perimeter);
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}
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}
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const reverse = edges.find((e) => e.from === 3 && e.to === 2);
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reverse.flags = 1; // the fixture's single oneway-reverse mirror
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return { nodeCount: GRID * GRID, edges, quantumS: 0.1 };
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}
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/* ————— L1–L6 ————— */
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test("L1 anchors — deterministic, degree>=2-filtered, well-spread on the 5-node path", async () => {
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const { farthestPointAnchors } = await loadLandmark();
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const input = pathInput();
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const a = farthestPointAnchors(input, 2);
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assert.ok(a instanceof Uint32Array, "anchors are a Uint32Array");
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assert.equal(a.length, 2);
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// Candidates (degree>=2) are nodes 1,2,3 — endpoints excluded. First
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// anchor = first candidate by id; pass-from-1 minima are [30,0,30,60,90]
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// quanta, so the farthest candidate is node 3.
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assert.deepEqual([...a], [1, 3], "first candidate by id, then farthest spread");
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// L=3: after folding anchor 3, minima are [30,0,30,0,30] -> node 2.
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assert.deepEqual([...farthestPointAnchors(input, 3)], [1, 3, 2]);
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// Determinism: identical input -> identical anchors (no randomness).
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assert.deepEqual([...farthestPointAnchors(pathInput(), 2)], [...a]);
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// More anchors than candidates: stop early, never pad.
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assert.equal(farthestPointAnchors(input, 10).length, 3, "only 3 candidates exist");
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});
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test("L2 quantum exactness — floor(2.55/0.1)=25 per edge; two edges sum to exactly 50 quanta", async () => {
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const { landmarkTables, LANDMARK_QUANTUM_S } = await loadLandmark();
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assert.equal(LANDMARK_QUANTUM_S, 0.1, "the default quantum is the doc'd 0.1 s");
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const input = {
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nodeCount: 3,
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edges: [
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{ from: 0, to: 1, seconds: 2.55, flags: 0 },
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{ from: 1, to: 0, seconds: 2.55, flags: 0 },
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{ from: 1, to: 2, seconds: 2.55, flags: 0 },
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{ from: 2, to: 1, seconds: 2.55, flags: 0 },
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],
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quantumS: 0.1,
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};
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const { to, from } = landmarkTables(input, Uint32Array.of(0));
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assert.equal(from.length, 1 * 3, "row-major L*N cells");
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assert.equal(from[0 * 3 + 1], 25, "one 2.55 s edge = exactly 25 quanta (floor(25.4999...))");
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assert.equal(from[0 * 3 + 2], 50, "two edges = exactly 50 quanta — integer arithmetic, no drift");
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assert.equal(to[0 * 3 + 2], 50, "the to-row mirrors on a two-way path");
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});
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test("L3 sentinel + self-cell — unreachable pairs -> 0xFFFF; the landmark's own cell = 0", async () => {
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const { landmarkTables, LANDMARK_SENTINEL } = await loadLandmark();
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assert.equal(LANDMARK_SENTINEL, 0xffff);
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const input = onewayInput();
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const { to, from } = landmarkTables(input, Uint32Array.of(0));
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assert.equal(to[0 * 4 + 0], 0, "landmark's own to-cell is 0");
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assert.equal(from[0 * 4 + 0], 0, "landmark's own from-cell is 0");
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assert.equal(from[0 * 4 + 1], 15, "0->1 traverses (floor(1.5/0.1)=15 quanta)");
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assert.equal(from[0 * 4 + 2], 30, "0->1->2 traverses");
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assert.equal(to[0 * 4 + 1], LANDMARK_SENTINEL, "1 cannot reach 0 against the oneway -> sentinel");
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assert.equal(to[0 * 4 + 2], LANDMARK_SENTINEL, "2 cannot reach 0 -> sentinel");
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// Isolated node: every cell is the sentinel.
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assert.equal(to[0 * 4 + 3], LANDMARK_SENTINEL, "isolated node -> sentinel in the to-row");
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assert.equal(from[0 * 4 + 3], LANDMARK_SENTINEL, "isolated node -> sentinel in the from-row");
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});
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test("L4 asymmetry — reversed vs forward rows differ on an oneway graph", async () => {
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const { landmarkTables } = await loadLandmark();
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const { to, from } = landmarkTables(onewayInput(), Uint32Array.of(1));
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// Rows are indexed by anchor POSITION (row-major [ℓ*N+v], ℓ = 0 here),
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// not by the anchor's node id. Anchor at the middle node 1: forward
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// reaches 2 (15 quanta) but the to-row for 2 is the sentinel (2 cannot
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// get back to 1).
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assert.equal(from[0 * 4 + 2], 15, "1->2 traverses");
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assert.equal(to[0 * 4 + 2], 0xffff, "2->1 does not (oneway) — asymmetry is representable");
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assert.notEqual(to[0 * 4 + 2], from[0 * 4 + 2]);
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});
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test("L5 overflow throws — any label > 65000 quanta fails loud, naming the fix", async () => {
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const { landmarkTables, farthestPointAnchors, LANDMARK_MAX_QUANTA } = await loadLandmark();
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assert.equal(LANDMARK_MAX_QUANTA, 65000);
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// 3-node path so node 1 is a degree-2 candidate — the anchor-selection
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// pass actually runs (a 2-node graph has no candidates and returns
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// empty before any Dijkstra).
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const input = {
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nodeCount: 3,
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edges: [
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{ from: 0, to: 1, seconds: 10, flags: 0 }, // floor(10/0.0001) = 100000 quanta
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{ from: 1, to: 0, seconds: 10, flags: 0 },
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{ from: 1, to: 2, seconds: 10, flags: 0 },
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{ from: 2, to: 1, seconds: 10, flags: 0 },
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],
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quantumS: 0.0001,
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};
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assert.throws(
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() => landmarkTables(input, Uint32Array.of(0)),
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/100000 exceeds 65000 \(raise landmarkQuantumS\)/,
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"the table pass names the offending distance and the fix",
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);
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assert.throws(
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() => farthestPointAnchors(input, 1),
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/exceeds 65000 \(raise landmarkQuantumS\)/,
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"the anchor-selection pass fails loud on the same law",
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);
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});
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test("L6 5x5 grid shape — anchors [0,18]; farthest 297 quanta; coverage 1.0", async () => {
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const { farthestPointAnchors, landmarkTables, landmarkCoverage } = await loadLandmark();
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const input = await gridInput();
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const anchors = farthestPointAnchors(input, 2);
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// Farthest-point over the ĉ metric: interior hops cost 66 quanta (2x the
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// perimeter's 33), so the farthest node from corner 0 is the INTERIOR
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// node 18 at 297 quanta — NOT the opposite corner 24 (264). Verified
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// against an independent brute-force Dijkstra (297 unique max).
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assert.deepEqual([...anchors], [0, 18], "first candidate is node 0; farthest is node 18");
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const { to, from } = landmarkTables(input, anchors);
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assert.equal(to.length, 2 * 25, "L*N cells (L=2, N=25)");
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assert.equal(to[0 * 25 + 0], 0, "self-cell 0");
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assert.equal(from[1 * 25 + 18], 0, "anchor 18's own from-cell 0 (row = position 1)");
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assert.equal(from[0 * 25 + 18], 297, "0->18 = 3 perimeter + 3 interior hops = 99+198, exact");
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assert.equal(to[1 * 25 + 0], 297, "the to-row mirrors on the grid");
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const coverage = landmarkCoverage(to, anchors, 25);
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assert.deepEqual(coverage, [1, 1], "the grid is strongly connected — full coverage");
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});
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