이클립스 흐름 — 배너 진입 · 이벤트 버튼 · 오버레이 · 방어 진행 표시 · 흔들기 감지 통일

app/lib/features/planet/hero_participation_sheet.dart

@@ -1,5 +1,4 @@
 import 'dart:async';
-import 'dart:math' as math;
 import 'package:flutter/material.dart';
 import 'package:flutter/services.dart';
 import 'package:sensors_plus/sensors_plus.dart';
@@ -8,6 +7,7 @@ import '../../core/data/backend.dart';
 import '../../core/ui/live_stream.dart';
 import 'planet_data.dart';
 import '../../core/i18n/app_locale.dart';
+import '../quest/quest_evidence.dart' show ShakeDetector;
 
 /// 수량·상한·중복 여부는 서버가 결정한다. 단말은 참여 의사와 결과만 전달한다.
 class HeroParticipationSheet extends StatefulWidget {
@@ -38,24 +38,16 @@ class _HeroParticipationSheetState extends State<HeroParticipationSheet>
   bool _sending = false;
   bool _failed = false;
   bool _foreground = true;
-  DateTime _lastShake = DateTime.fromMillisecondsSinceEpoch(0);
 
   @override
   void initState() {
     super.initState();
     WidgetsBinding.instance.addObserver(this);
-    _sensor = (widget.accelerometer ?? accelerometerEventStream()).listen((
-      event,
-    ) {
-      final magnitude = math.sqrt(
-        event.x * event.x + event.y * event.y + event.z * event.z,
-      );
-      final now = DateTime.now();
-      if (!magnitude.isFinite ||
-          magnitude < 18 ||
-          now.difference(_lastShake).inMilliseconds < 220)
-        return;
-      _lastShake = now;
+    final shakes = ShakeDetector();
+    _sensor = (widget.accelerometer ??
+            accelerometerEventStream(samplingPeriod: ShakeDetector.sampling))
+        .listen((event) {
+      if (!shakes.add(event.x, event.y, event.z, DateTime.now())) return;
       if (!_failed) _claim();
     }, onError: (_) {}); // 센서가 없어도 동일한 서버 경로의 참여 버튼을 제공한다.
   }