Consolidate OnKeyEvent and InputMethod code.

chrome/browser/extensions/extension_input_api.cc

 // Copyright (c) 2011 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 "chrome/browser/extensions/extension_input_api.h"
 
 #include <string>
 
 #include "base/string_util.h"
 #include "base/values.h"
@@ skipping 104 matching lines @@
     }
   }
 
   views::RootView* root_view = GetRootView();
   if (!root_view) {
     error_ = kNoValidRecipientError;
     return false;
   }
 
   views::KeyEvent event(type, prototype_event.key_code(), flags);
-  views::InputMethod* ime = root_view->GetWidget()->GetInputMethod();
-  if (ime) {
-    ime->DispatchKeyEvent(event);
-  } else if (!root_view->ProcessKeyEvent(event)) {
+  if (!root_view->GetWidget()->OnKeyEvent(event)) {
     error_ = kKeyEventUnprocessedError;
     return false;
   }
 
   return true;
 }