Remove calls to deprecated MessageLoop methods in android_webview.

android_webview/browser/test/rendering_test.h

Index: android_webview/browser/test/rendering_test.h
diff --git a/android_webview/browser/test/rendering_test.h b/android_webview/browser/test/rendering_test.h
index 3f6632dc51387c55a4c96d735c4c131905302085..ef9b0be2f6ad317390d72058dcb00bc463345f41 100644
--- a/android_webview/browser/test/rendering_test.h
+++ b/android_webview/browser/test/rendering_test.h
@@ -11,6 +11,7 @@
 #include "android_webview/browser/render_thread_manager_client.h"
 #include "android_webview/browser/test/fake_window.h"
 #include "base/macros.h"
+#include "base/run_loop.h"
 #include "base/single_thread_task_runner.h"
 #include "cc/resources/resource.h"
 #include "testing/gtest/include/gtest/gtest.h"
@@ -97,11 +98,10 @@ class RenderingTest : public testing::Test,
   std::unique_ptr<content::TestSynchronousCompositor> compositor_;
 
  private:
-  void QuitMessageLoop();
-
   void DrawGL(AwDrawGLInfo* aw_draw_gl_info);
 
   const std::unique_ptr<base::MessageLoop> message_loop_;
+  base::RunLoop run_loop_;
 
   DISALLOW_COPY_AND_ASSIGN(RenderingTest);
 };