diff --git a/packages/shared/api/index.ts b/packages/shared/api/index.ts
index 0cf652b427..5ee19611d8 100644
--- a/packages/shared/api/index.ts
+++ b/packages/shared/api/index.ts
@@ -53,12 +53,16 @@ export function formatAzureOpenAIApiHost(host: string): string {
   return formatApiHost(normalizedHost + '/openai', false)
 }
 
-export function formatVertexApiHost(provider: MinimalProvider, project: string, location: string): string {
+export function formatVertexApiHost(
+  provider: MinimalProvider,
+  project: string = 'test-project',
+  location: string = 'us-central1'
+): string {
   const { apiHost } = provider
   const trimmedHost = withoutTrailingSlash(trim(apiHost))
   if (!trimmedHost || trimmedHost.endsWith('aiplatform.googleapis.com')) {
     const host =
-      location == 'global' ? 'https://aiplatform.googleapis.com' : `https://${location}-aiplatform.googleapis.com`
+      location === 'global' ? 'https://aiplatform.googleapis.com' : `https://${location}-aiplatform.googleapis.com`
     return `${formatApiHost(host)}/projects/${project}/locations/${location}`
   }
   return formatApiHost(trimmedHost)
diff --git a/packages/shared/provider/config/helper.ts b/packages/shared/provider/config/helper.ts
index 4e821a6c8f..95f53f885a 100644
--- a/packages/shared/provider/config/helper.ts
+++ b/packages/shared/provider/config/helper.ts
@@ -18,11 +18,11 @@ export const endpointIs =
  * @param provider 原始provider对象
  * @returns 解析出的provider对象
  */
-export function provider2Provider<
-  M extends MinimalModel,
-  R extends MinimalProvider,
-  P extends R = R
->(ruleSet: RuleSet<M, R>, model: M, provider: P): P {
+export function provider2Provider<M extends MinimalModel, R extends MinimalProvider, P extends R = R>(
+  ruleSet: RuleSet<M, R>,
+  model: M,
+  provider: P
+): P {
   for (const rule of ruleSet.rules) {
     if (rule.match(model)) {
       return rule.provider(provider) as P
diff --git a/packages/shared/provider/resolve.ts b/packages/shared/provider/resolve.ts
index 9055a36c6e..385da6a586 100644
--- a/packages/shared/provider/resolve.ts
+++ b/packages/shared/provider/resolve.ts
@@ -25,8 +25,7 @@ export function resolveActualProvider<M extends MinimalModel, P extends MinimalP
     resolvedProvider = newApiResolverCreator(model, resolvedProvider)
   }
 
-  const isSystemProvider =
-    options.isSystemProvider?.(resolvedProvider) ?? defaultIsSystemProvider(resolvedProvider)
+  const isSystemProvider = options.isSystemProvider?.(resolvedProvider) ?? defaultIsSystemProvider(resolvedProvider)
 
   if (isSystemProvider && resolvedProvider.id === 'aihubmix') {
     resolvedProvider = aihubmixProviderCreator(model, resolvedProvider)