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-rw-r--r--modules/Geometry.test.js116
1 files changed, 114 insertions, 2 deletions
diff --git a/modules/Geometry.test.js b/modules/Geometry.test.js
index b44f25d..bfac85f 100644
--- a/modules/Geometry.test.js
+++ b/modules/Geometry.test.js
@@ -1,6 +1,6 @@
import { test, assert } from './test-assert.js';
-import { AABB, QTNode } from './Geometry.js';
+import { AABB, QTNode, QuadTree } from './Geometry.js';
test('AABB correctly contains/excludes points', () => {
@@ -141,5 +141,117 @@ test('QTNode correctly inserts multiple points', () => {
assert.equal(node.subnode[2].type.toString(), 'QTNode.Empty');
assert.equal(node.subnode[3].type.toString(), 'QTNode.Leaf');
- assert.deepEqual(node.subnode[3].point, p0);
+assert.deepEqual(node.subnode[3].point, p0);
});
+
+
+const randomPoint = () => ({ x: Math.random(), y: Math.random() });
+
+
+test('QTNode correctly returns points in region', () => {
+ const node = new QTNode(0, 0, 1, 1);
+ let points = [];
+ for (let i=0; i<100; i++) {
+ const pt = randomPoint();
+ node.insert(pt);
+ points.push(pt);
+ }
+
+ const pointsInRegion = aabb => {
+ let pts = [];
+ for (let pt of points) {
+ if (aabb.contains(pt)) pts.push(pt);
+ }
+ return pts;
+ };
+
+ const region = new AABB(0.25, 0.25, 0.5, 0.5);
+ let bf_points = pointsInRegion(region);
+ let qt_points = node.getPointsInRegion(region);
+ const compare = (a, b) => {
+ if (a.x == b.x)
+ return b.y - a.y;
+ return b.x - a.x;
+ };
+ bf_points.sort(compare);
+ qt_points.sort(compare);
+ assert.deepEqual(bf_points, qt_points);});
+
+
+test('QuadTree correctly finds closest point for 10,000 random points', () => {
+ const tree = new QuadTree(1, 1);
+
+ let points = [];
+ for (let i=0; i<10000; i++) {
+ const pt = randomPoint();
+ tree.insert(pt);
+ points.push(pt);
+ }
+
+ const distance = (a, b) => Math.sqrt((a.x - b.x)**2 + (a.y - b.y)**2);
+ const bf_closest = a => {
+ let closest = null;
+ let min_dist = 1000;
+ for (let b of points) {
+ let d = distance(a, b);
+ if (d < min_dist) {
+ min_dist = d;
+ closest = b;
+ }
+ }
+ return closest;
+ }
+
+ for (let i=0; i<10000; i++) {
+ const pt = randomPoint();
+ assert.deepEqual(bf_closest(pt), tree.closest(pt));
+ }
+});
+
+
+function benchmark(desc, f, iterations) {
+ process.stdout.write(`${desc}: `);
+ const start = process.uptime();
+ for (let i=0; i<iterations; i++) f();
+ const elapsed = process.uptime() - start;
+ console.log(`${elapsed} seconds`);
+}
+
+const closest_benchmark = () => {
+ const n_points = 1e5;
+ const iterations = 1e4;
+ console.log(`> benchmark get closest of ${n_points} random points ${iterations} times`);
+
+ const tree = new QuadTree(1, 1);
+ let points = [];
+ for (let i=0; i<n_points; i++) {
+ const pt = randomPoint();
+ tree.insert(pt);
+ points.push(pt);
+ }
+
+ const distance = (a, b) => Math.sqrt((a.x - b.x)**2 + (a.y - b.y)**2);
+ const bf_closest = a => {
+ let closest = null;
+ let min_dist = 1000;
+ for (let b of points) {
+ let d = distance(a, b);
+ if (d < min_dist) {
+ min_dist = d;
+ closest = b;
+ }
+ }
+ return closest;
+ }
+
+ benchmark('\tbrute force', () => {
+ const pt = randomPoint();
+ bf_closest(pt);
+ }, iterations);
+
+ benchmark('\tquadtree', () => {
+ const pt = randomPoint();
+ tree.closest(pt);
+ }, iterations);
+}
+closest_benchmark();