Use explicit WebString <-> string16 conversion methods in storage API files

content/child/db_message_filter.cc

 // Copyright 2013 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "content/child/db_message_filter.h"
 
 #include "content/common/database_messages.h"
 #include "storage/common/database/database_identifier.h"
 #include "third_party/WebKit/public/platform/WebSecurityOrigin.h"
 #include "third_party/WebKit/public/platform/WebString.h"
@@ skipping 21 matching lines @@
                         OnDatabaseCloseImmediately)
     IPC_MESSAGE_UNHANDLED(handled = false)
   IPC_END_MESSAGE_MAP()
   return handled;
 }
 
 void DBMessageFilter::OnDatabaseUpdateSize(const url::Origin& origin,
                                            const base::string16& database_name,
                                            int64_t database_size) {
   DCHECK(!origin.unique());
-  blink::WebDatabase::updateDatabaseSize(origin, database_name, database_size);
+  blink::WebDatabase::updateDatabaseSize(
+      origin, WebString::fromUTF16(database_name), database_size);
 }
 
 void DBMessageFilter::OnDatabaseUpdateSpaceAvailable(const url::Origin& origin,
                                                      int64_t space_available) {
   DCHECK(!origin.unique());
   blink::WebDatabase::updateSpaceAvailable(origin, space_available);
 }
 
 void DBMessageFilter::OnDatabaseResetSpaceAvailable(const url::Origin& origin) {
   DCHECK(!origin.unique());
   blink::WebDatabase::resetSpaceAvailable(origin);
 }
 
 void DBMessageFilter::OnDatabaseCloseImmediately(
     const url::Origin& origin,
     const base::string16& database_name) {
   DCHECK(!origin.unique());
-  blink::WebDatabase::closeDatabaseImmediately(origin, database_name);
+  blink::WebDatabase::closeDatabaseImmediately(
+      origin, WebString::fromUTF16(database_name));
 }
 
 }  // namespace content