update

backend/README.md

@@ -39,10 +39,11 @@ uv run ruff check .
   `updataTime` types remain number for realtime and string for official.
   Redis locks prevent duplicate work across workers. Realtime region pages stay
   8 seconds apart. Failures retain the last successful data for up to 24 hours.
-- Realtime uses the arithmetic mean of displayed unit prices from rows 4–10
-  (`i.item1`, slice `[3:10]`), in 元/万金币, rounded to 2 decimals. This replaces
-  the earlier 万金币/元 average and uses a new Redis namespace so old units are
-  never returned as new prices. No BeautifulSoup or browser dependency is added.
+- Realtime selects rows 4–10 (slice `[3:10]`), converts each original unit price
+  with `1 / Price`, then averages those ratios in 万金币/元. Rounding to 2 decimals
+  happens only after averaging; prices are not rounded before conversion. A new
+  Redis namespace excludes the earlier 元/万金币 cache, whose rounded prices
+  cannot recover the original ratios. No new dependency is added.
 - Official authentication uses `HELPER_TOKEN` and `HELPER_ID`. Authentication
   failures (`returnCode=-30003`, explicit token-expiry messages or HTTP 401) can
   notify via Bark. Network errors do not trigger token-expiry notifications.

backend/api/routes/colg.py

@@ -41,7 +41,7 @@ def get_date_str(timestamp: int) -> str:
 
 @router.get('/gold/realtime/', operation_id='realtimeGold', response_model=Response[list[RealTimeGold]])
 async def get_real_time_gold(redis: Annotated[AsyncRedis, Depends(thirdpart_gold.get_redis)], background_tasks: BackgroundTasks) -> Response[list[RealTimeGold]]:
-    """获取网站金币单价，取页面第4～10条单价均值，元/万金币，两位小数。
+    """获取网站金币比例，取页面第4～10条的平均比例，万金币/元，两位小数。
 
     updataTime为数据所属半小时刻度的数字秒级时间戳，:25/:55提前采集对应:30/:00数据。与thirdpart接口共用Redis缓存和
     后台刷新任务：30分钟自动更新，也支持按需补齐，逐区间隔8秒；初始化未齐时响应体code=202。
@@ -145,10 +145,10 @@ async def get_official_gold(redis: Annotated[AsyncRedis, Depends(thirdpart_gold.
 
 @router.get('/gold/thirdpart/', operation_id='thirdpartGold', response_model=Response[list[RealTimeGold]])
 async def get_thirdpart_gold(redis: Annotated[AsyncRedis, Depends(thirdpart_gold.get_redis)], background_tasks: BackgroundTasks) -> Response[list[RealTimeGold]]:
-    """获取跨1～跨8（含跨3A/3B）的第三方单价均值，单位：元/万金币。
+    """获取跨1～跨8（含跨3A/3B）的第三方平均比例，单位：万金币/元。
 
     不额外限制最低总价；汇总渠道报价并按公开页面展示规则排序、去重，
-    对i.item1的第4～10条（Python切片[3:10]）显示单价取算术平均，
+    对第4～10条（Python切片[3:10]）原始单价逐条计算1/Price后取算术平均，
     四舍五入至两位小数，不按库存或份数加权。
 
     每30分钟自动后台刷新，跨区页面最短间隔8秒（每分钟不超过8次），Redis锁避免重复刷新。

backend/api/types/colg.py

@@ -15,7 +15,7 @@ class RealTimeGold(BaseModel):
     region: str = Field(..., description='跨区')
     """跨区"""
     code: str = Field(..., description='跨区code：k1、k2、k3a、k3b、k4、k5、k6、k7、k8')
-    goldPrice: float = Field(..., ge=0, allow_inf_nan=False, description='页面第4～10条单价均值，元/万金币，四舍五入至两位小数')
+    goldPrice: float = Field(..., ge=0, allow_inf_nan=False, description='页面第4～10条报价分别换算后求均值，1元对应的万金币数量，两位小数')
     """金价"""
 
     @field_validator('updataTime')

backend/api/utils/thirdpart_gold.py

@@ -45,8 +45,8 @@ REGION_INTERVAL = 8
 LOCK_SECONDS = 15 * 60
 ERROR_COOLDOWN_SECONDS = 5 * 60
 REDIS_TIMEOUT_SECONDS = 1
-# 统计范围和单位已改变，旧缓存的万金币/元均值不能作为新的元/万金币单价返回。
-CACHE_PREFIX = 'openapi:colg:thirdpart_gold:v2'
+# v2缓存已将元/万金币单价舍入至0.01，无法还原比例，改用新缓存重新采集。
+CACHE_PREFIX = 'openapi:colg:thirdpart_gold:v3'
 LOCK_KEY = f'{CACHE_PREFIX}:lock'
 COOLDOWN_KEY = f'{CACHE_PREFIX}:cooldown'
 RELEASE_LOCK = """
@@ -128,7 +128,7 @@ def make_payload(channel: dict, seed: dict, user: dict) -> dict:
 
 
 def first_page_average(offers: list[dict]) -> tuple[float, int]:
-    """匹配公开页面 i.item1 的第4～10条，平均显示单价（元/万金币）。"""
+    """取页面第4～10条报价，逐条按1/Price换算后平均，单位万金币/元。"""
     valid = []
     for offer in offers:
         try:
@@ -137,7 +137,9 @@ def first_page_average(offers: list[dict]) -> tuple[float, int]:
             number = float(offer['Number'])
         except (KeyError, TypeError, ValueError, OverflowError):
             continue
-        if not all(math.isfinite(value) for value in (price, money, number)) or price < 0:
+        if not all(math.isfinite(value) for value in (price, money, number)) or price <= 0:
+            continue
+        if not math.isfinite(1 / price):
             continue
         # 页面默认展示条件，不额外设置price1/price2价格过滤。
         if money != -1 and (money * number < 5 or price == 0):
@@ -160,9 +162,9 @@ def first_page_average(offers: list[dict]) -> tuple[float, int]:
     selected = page[SAMPLE_SLICE]
     if not selected:
         raise ValueError('YXDR 未返回有效报价')
-    # 页面 Math.floorDigits(price, 5) 先toFixed(6)再删掉末位。
-    prices = [float(f"{item['Price']:.6f}"[:-1]) for item in selected]
-    return round(fmean(prices), 2), len(prices)
+    # 对原始单价取倒数后求均值，最后才保留两位，避免先舍入单价丢失比例差异。
+    ratios = [1 / item['Price'] for item in selected]
+    return round(fmean(ratios), 2), len(ratios)
 
 
 async def _read_response(resp) -> str:

backend/tests/unit/test_gold_time.py

@@ -25,8 +25,8 @@ def test_refresh_slot_advances_five_minutes_before_boundary(hour, minute, second
 
 
 def test_response_types_round_price_values_and_keep_timestamp_types():
-    realtime = RealTimeGold(updataTime=stamp(1, 30), region='跨1', code='k1', goldPrice=.016789)
-    assert realtime.goldPrice == .02
+    realtime = RealTimeGold(updataTime=stamp(1, 30), region='跨1', code='k1', goldPrice=105.26315789)
+    assert realtime.goldPrice == 105.26
     assert realtime.updataTime == stamp(1, 30)
     assert isinstance(realtime.updataTime, int)
     official = OfficialGold(updataTime=str(stamp(1, 30)), region='跨1', code='k1',

backend/tests/unit/test_thirdpart_gold.py

@@ -18,7 +18,7 @@ def offer(price, url='listing', platform=17, money=10):
 
 def cached_item(region='跨1', age=0):
     fetched_at = time.time() - age
-    return {'region': region, 'goldPrice': .01, 'sampleCount': 7,
+    return {'region': region, 'goldPrice': 100.0, 'sampleCount': 7,
             'code': GOLD_REGION_CODES[region], 'updataTime': refresh_slot(fetched_at),
             'fetchedAt': fetched_at}
 
@@ -54,16 +54,16 @@ class FakeRedis:
         return 0
 
 
-def test_average_uses_displayed_unit_prices_at_indices_three_through_nine():
+def test_average_uses_gold_per_yuan_ratios_at_indices_three_through_nine():
     rows = [offer(i / 100) for i in range(1, 12)]
-    assert gold.first_page_average(rows) == (.07, 7)
+    assert gold.first_page_average(rows) == (15.65, 7)
     invalid = [offer(0), offer(-1), offer(float('nan')), offer(float('inf')),
                offer(.01, money=-1), offer(None), offer(.01, money=float('nan'))]
     # 页面允许Money=-1的库存占位报价；另行排除不显示的低额订单。
     invalid.pop(4)
-    assert gold.first_page_average(invalid + [offer(.01, money=.5)] + rows) == (.07, 7)
-    assert gold.first_page_average([offer(.016789)] * 10) == (.02, 7)
-    assert gold.first_page_average(rows[:4]) == (.04, 1)
+    assert gold.first_page_average(invalid + [offer(.01, money=.5)] + rows) == (15.65, 7)
+    assert gold.first_page_average([offer(.016789)] * 10) == (round(1 / .016789, 2), 7)
+    assert gold.first_page_average(rows[:4]) == (25.0, 1)
     with pytest.raises(ValueError, match='有效报价'):
         gold.first_page_average(invalid)
     with pytest.raises(ValueError, match='有效报价'):
@@ -73,9 +73,15 @@ def test_average_uses_displayed_unit_prices_at_indices_three_through_nine():
 def test_page_deduplicates_before_cutoff_and_preserves_7881_variants():
     rows = [offer(.01, 'duplicate', 40), offer(.01, 'duplicate', 40)]
     rows += [offer(i / 100, str(i), 17) for i in range(2, 12)]
-    assert gold.first_page_average(rows) == (.07, 7)
+    assert gold.first_page_average(rows) == (15.65, 7)
     rows = [offer(.01, platform=44)] * 3 + [offer(.04, platform=44)] * 7
-    assert gold.first_page_average(rows) == (.04, 7)
+    assert gold.first_page_average(rows) == (25.0, 7)
+
+
+def test_each_quote_is_inverted_before_averaging_without_early_rounding():
+    rows = [offer(.008)] * 3 + [offer(.0095)] * 4 + [offer(.01)] * 3
+    assert gold.first_page_average(rows) == (103.01, 7)
+    assert round(1 / ((.0095 * 4 + .01 * 3) / 7), 2) == 102.94
 
 
 def test_request_signature_matches_observed_browser_request():
@@ -135,7 +141,7 @@ def test_region_fetches_its_own_seed_config_and_all_initial_channels():
     assert result['region'] == '跨8'
     assert result['code'] == 'k8'
     assert isinstance(result['updataTime'], int)
-    assert result['goldPrice'] == .01
+    assert result['goldPrice'] == 100.0
     assert result['sampleCount'] == 7
     assert result['updataTime'] == refresh_slot(started_at)
     assert result['fetchedAt'] == started_at
@@ -184,6 +190,12 @@ def test_invalid_cached_average_is_not_served():
     assert asyncio.run(gold.read_cache(redis)) == []
 
 
+def test_old_yuan_per_gold_cache_cannot_be_returned_as_new_ratio():
+    redis = FakeRedis()
+    redis.values['openapi:colg:thirdpart_gold:v2:kua1'] = json.dumps({**cached_item(), 'goldPrice': .01})
+    assert asyncio.run(gold.read_cache(redis)) == []
+
+
 def test_legacy_cache_gets_epoch_and_region_code_without_refetching():
     redis = FakeRedis()
     legacy = cached_item('跨3A')