feat: map responses api to anthropic support tool_use and fix spelling errors

Author: caozhiyuan

src/routes/messages/responses-stream-translation.ts

@@ -421,9 +421,7 @@ const messageStart = (
         usage: {
           input_tokens: inputTokens,
           output_tokens: 0,
-          ...(inputCachedTokens !== undefined && {
-            cache_creation_input_tokens: inputCachedTokens,
-          }),
+          cache_read_input_tokens: inputCachedTokens ?? 0,
         },
       },
     },

src/routes/messages/responses-translation.ts

@@ -535,6 +535,9 @@ const mapResponsesStopReason = (
   const { status, incomplete_details: incompleteDetails } = response
 
   if (status === "completed") {
+    if (response.output.some((item) => item.type === "function_call")) {
+      return "tool_use"
+    }
     return "end_turn"
   }