Rework View Layer Draw() to use the Layer::DrawTree() method and the LayerDelegate.

views/widget/native_widget_view.h

Index: views/widget/native_widget_view.h
===================================================================
--- views/widget/native_widget_view.h	(revision 100773)
+++ views/widget/native_widget_view.h	(working copy)
@@ -43,8 +43,9 @@
   // Overridden from View:
   virtual void SchedulePaintInternal(const gfx::Rect& r) OVERRIDE;
   virtual void MarkLayerDirty() OVERRIDE;
-  virtual void CalculateOffsetToAncestorWithLayer(gfx::Point* offset,
-                                                  View** ancestor) OVERRIDE;
+  virtual void CalculateOffsetToAncestorWithLayer(
+      gfx::Point* offset,
+      ui::Layer** layer_parent) OVERRIDE;
 
  private:
   // Overridden from View:
@@ -73,8 +74,6 @@
                                  const gfx::Point& point) OVERRIDE;
   virtual void DestroyLayerRecurse() OVERRIDE;
   virtual void UpdateLayerBounds(const gfx::Point& offset) OVERRIDE;
-  virtual void PaintToLayer(const gfx::Rect& dirty_rect) OVERRIDE;
-  virtual void PaintComposite() OVERRIDE;
 
   internal::NativeWidgetDelegate* delegate() {
     return native_widget_->delegate();