Refactor DrawingRecorders to check for cached drawings earlier

Source/platform/scroll/ScrollbarThemeOverlay.cpp

 /*
  * Copyright (C) 2011 Google Inc. All rights reserved.
  *
  * Redistribution and use in source and binary forms, with or without
  * modification, are permitted provided that the following conditions
  * are met:
  *
  * 1.  Redistributions of source code must retain the above copyright
  *     notice, this list of conditions and the following disclaimer.
  * 2.  Redistributions in binary form must reproduce the above copyright
@@ skipping 110 matching lines @@
     return rect;
 }
 
 int ScrollbarThemeOverlay::thumbThickness(ScrollbarThemeClient*)
 {
     return m_thumbThickness;
 }
 
 void ScrollbarThemeOverlay::paintThumb(GraphicsContext* context, ScrollbarThemeClient* scrollbar, const IntRect& rect)
 {
+    if (DrawingRecorder::useCachedDrawingIfPossible(*context, *scrollbar, DisplayItem::ScrollbarThumb))
+        return;
+
     DrawingRecorder recorder(*context, *scrollbar, DisplayItem::ScrollbarThumb, rect);
-    if (recorder.canUseCachedDrawing())
-        return;
 
     IntRect thumbRect = rect;
     if (scrollbar->orientation() == HorizontalScrollbar) {
         thumbRect.setHeight(thumbRect.height() - m_scrollbarMargin);
     } else {
         thumbRect.setWidth(thumbRect.width() - m_scrollbarMargin);
         if (scrollbar->isLeftSideVerticalScrollbar())
             thumbRect.setX(thumbRect.x() + m_scrollbarMargin);
     }
 
@@ skipping 19 matching lines @@
 
 ScrollbarPart ScrollbarThemeOverlay::hitTest(ScrollbarThemeClient* scrollbar, const IntPoint& position)
 {
     if (m_allowHitTest == DisallowHitTest)
         return NoPart;
 
     return ScrollbarTheme::hitTest(scrollbar, position);
 }
 
 } // namespace blink