feat: add built-in array comparison

tests/unit/contracts.test.js

@@ -18,6 +18,21 @@ test("192채널 기준 배열이 계약을 통과한다", async () => {
   assertEqual((await validateArrayDefinition(arrayDefinition)).length, 0, "array issues");
 });
 
+test("192채널 Fermat spiral 비교 배열이 계약과 원형 aperture를 만족한다", async () => {
+  const arrayDefinition = await loadJson("/assets/array-geometries/fermat-spiral-192.array.json");
+  assertEqual(arrayDefinition.microphones.length, 192, "spiral microphone count");
+  assertEqual((await validateArrayDefinition(arrayDefinition)).length, 0, "spiral array issues");
+  const maximumRadius = Math.max(
+    ...arrayDefinition.microphones.map(({ position }) => Math.hypot(position[0], position[1])),
+  );
+  assert(maximumRadius <= 0.225001, `spiral aperture radius: ${maximumRadius}`);
+  assertEqual(
+    new Set(arrayDefinition.microphones.map(({ position }) => position.join(","))).size,
+    192,
+    "spiral positions are unique",
+  );
+});
+
 test("단일 tone 장면과 실험이 관계 검증을 통과한다", async () => {
   const [arrayDefinition, scene, experiment] = await Promise.all([
     loadJson("/assets/array-geometries/rectangular-16x12.array.json"),