feat(usage): 修复缓存命中率计算并新增用户端 API 格式统计

- 新增 input_context_expr() 按 api_format 区分 input_tokens 语义
  (OpenAI/Gemini input_tokens 已含 cache_read，Claude 需额外加上)
- 缓存命中率统一改为基于归一化后的 total_input_context 计算
- 用户 /me/usage 接口新增 summary_by_api_format 后端聚合字段
- 前端 API 格式统计改用后端聚合数据，移除前端逐条记录手动统计
- 提取 formatHitRate 到 utils/format.ts 消除三处重复定义
- 移除 PoolManager 中未使用的 select_key 方法

Co-Authored-By: AAEE86 <[email protected]>

frontend/src/features/usage/components/UsageApiFormatTable.vue

@@ -21,6 +21,12 @@
             <TableHead class="h-8 px-2 text-right">
               费用
             </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存Token
+            </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存命中率
+            </TableHead>
             <TableHead class="h-8 px-2 text-right">
               平均响应
             </TableHead>
@@ -29,7 +35,7 @@
         <TableBody>
           <TableRow v-if="data.length === 0">
             <TableCell
-              :colspan="5"
+              :colspan="7"
               class="text-center py-6 text-muted-foreground px-2"
             >
               暂无API格式统计数据
@@ -59,6 +65,12 @@
                 </span>
               </div>
             </TableCell>
+            <TableCell class="text-right py-2 px-2">
+              {{ formatTokens(item.cache_read_tokens || 0) }}
+            </TableCell>
+            <TableCell class="text-right py-2 px-2 text-muted-foreground">
+              {{ formatHitRate(item.cache_hit_rate) }}
+            </TableCell>
             <TableCell class="text-right text-muted-foreground py-2 px-2">
               {{ item.avgResponseTime }}
             </TableCell>
@@ -77,7 +89,7 @@ import TableBody from '@/components/ui/table-body.vue'
 import TableRow from '@/components/ui/table-row.vue'
 import TableHead from '@/components/ui/table-head.vue'
 import TableCell from '@/components/ui/table-cell.vue'
-import { formatTokens, formatCurrency } from '@/utils/format'
+import { formatTokens, formatCurrency, formatHitRate } from '@/utils/format'
 import { formatApiFormat } from '@/api/endpoints/types/api-format'
 import type { ApiFormatStatsItem } from '../types'
 
@@ -85,5 +97,4 @@ defineProps<{
   data: ApiFormatStatsItem[]
   isAdmin: boolean
 }>()
-
 </script>

frontend/src/features/usage/components/UsageModelTable.vue

@@ -21,6 +21,12 @@
             <TableHead class="h-8 px-2 text-right">
               费用
             </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存Token
+            </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存命中率
+            </TableHead>
             <TableHead class="h-8 px-2 text-right">
               效率
             </TableHead>
@@ -29,7 +35,7 @@
         <TableBody>
           <TableRow v-if="data.length === 0">
             <TableCell
-              :colspan="5"
+              :colspan="7"
               class="text-center py-6 text-muted-foreground px-2"
             >
               暂无模型统计数据
@@ -59,6 +65,12 @@
                 </span>
               </div>
             </TableCell>
+            <TableCell class="text-right py-2 px-2">
+              {{ formatTokens(model.cache_read_tokens || 0) }}
+            </TableCell>
+            <TableCell class="text-right py-2 px-2 text-muted-foreground">
+              {{ formatHitRate(model.cache_hit_rate) }}
+            </TableCell>
             <TableCell class="text-right text-muted-foreground py-2 px-2">
               {{ model.costPerToken }}
             </TableCell>
@@ -77,7 +89,7 @@ import TableBody from '@/components/ui/table-body.vue'
 import TableRow from '@/components/ui/table-row.vue'
 import TableHead from '@/components/ui/table-head.vue'
 import TableCell from '@/components/ui/table-cell.vue'
-import { formatTokens, formatCurrency } from '@/utils/format'
+import { formatTokens, formatCurrency, formatHitRate } from '@/utils/format'
 import type { EnhancedModelStatsItem } from '../types'
 
 defineProps<{

frontend/src/features/usage/components/UsageProviderTable.vue

@@ -21,6 +21,12 @@
             <TableHead class="h-8 px-2 text-right">
               费用
             </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存Token
+            </TableHead>
+            <TableHead class="h-8 px-2 text-right">
+              缓存命中率
+            </TableHead>
             <TableHead class="h-8 px-2 text-right">
               成功率
             </TableHead>
@@ -32,7 +38,7 @@
         <TableBody>
           <TableRow v-if="data.length === 0">
             <TableCell
-              :colspan="6"
+              :colspan="8"
               class="text-center py-6 text-muted-foreground px-2"
             >
               暂无提供商统计数据
@@ -62,6 +68,12 @@
                 </span>
               </div>
             </TableCell>
+            <TableCell class="text-right py-2 px-2">
+              {{ formatTokens(provider.cacheReadTokens || 0) }}
+            </TableCell>
+            <TableCell class="text-right py-2 px-2 text-muted-foreground">
+              {{ formatHitRate(provider.cacheHitRate) }}
+            </TableCell>
             <TableCell class="text-right py-2 px-2">
               <span :class="getSuccessRateClass(provider.successRate)">{{ provider.successRate }}%</span>
             </TableCell>
@@ -83,7 +95,7 @@ import TableBody from '@/components/ui/table-body.vue'
 import TableRow from '@/components/ui/table-row.vue'
 import TableHead from '@/components/ui/table-head.vue'
 import TableCell from '@/components/ui/table-cell.vue'
-import { formatTokens, formatCurrency } from '@/utils/format'
+import { formatTokens, formatCurrency, formatHitRate } from '@/utils/format'
 import type { ProviderStatsItem } from '../types'
 
 defineProps<{