feat(lotto): backtest API 라우터 + main 등록

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

lotto/tests/test_backtest_api.py

@@ -0,0 +1,23 @@
+import os, sys, tempfile
+
+# _shared lives in web-backend/_shared; add the parent dir so it can be found
+sys.path.insert(0, os.path.join(os.path.dirname(__file__), "..", ".."))
+
+from fastapi.testclient import TestClient
+
+def _client(monkeypatch):
+    tmp = tempfile.mkdtemp()
+    from app import db
+    monkeypatch.setattr(db, "DB_PATH", os.path.join(tmp, "lotto.db"))
+    db.init_db()
+    from app.main import app
+    return TestClient(app), db
+
+def test_backtest_endpoints(monkeypatch):
+    client, db = _client(monkeypatch)
+    r = client.get("/api/lotto/backtest/track-record")
+    assert r.status_code == 200
+    assert "by_strategy" in r.json()
+    r2 = client.get("/api/lotto/backtest/calibration?weeks=4")
+    assert r2.status_code == 200
+    assert isinstance(r2.json().get("history"), list)