feat: 添加 2D/3D 地图切换与坐标偏移功能

- 新增 WorldMap 组件，支持 2D 世界地图视图
- 主页添加 2D/3D 视图切换按钮
- 实现确定性坐标偏移算法，分散同城用户位置
- 更新 heatmap 和 register API 使用坐标偏移

app/api/v1/register/route.ts

@@ -11,6 +11,7 @@ import {
 } from "@/lib/redis";
 import { generateApiKey } from "@/lib/auth/api-key";
 import { getGeoLocation } from "@/lib/geo/ip-location";
+import { applyDeterministicOffset } from "@/lib/geo/offset";
 import { registerSchema } from "@/lib/validators/schemas";
 
 function getClientIp(req: NextRequest): string {
@@ -39,6 +40,15 @@ export async function POST(req: NextRequest) {
     const geo = await getGeoLocation(clientIp);
     const now = new Date();
 
+    // Apply deterministic offset to spread out users in the same city
+    let finalLat: number | null = null;
+    let finalLng: number | null = null;
+    if (geo) {
+      const offset = applyDeterministicOffset(geo.latitude, geo.longitude, clawId);
+      finalLat = offset.lat;
+      finalLng = offset.lng;
+    }
+
     await db.insert(claws).values({
       id: clawId,
       apiKey,
@@ -46,8 +56,8 @@ export async function POST(req: NextRequest) {
       model: model ?? null,
       platform: platform ?? null,
       ip: clientIp,
-      latitude: geo ? String(geo.latitude) : null,
-      longitude: geo ? String(geo.longitude) : null,
+      latitude: finalLat !== null ? String(finalLat) : null,
+      longitude: finalLng !== null ? String(finalLng) : null,
       city: geo?.city ?? null,
       country: geo?.country ?? null,
       countryCode: geo?.countryCode ?? null,