Make View::Paint use ui::PaintRecorder to access PaintContext's canvas

ui/compositor/layer.h

Index: ui/compositor/layer.h
diff --git a/ui/compositor/layer.h b/ui/compositor/layer.h
index ab4151f8647079b075a948ce88e564d5f00801e8..3dbd1733b0b2982eacc194383e25f1dcc12a441e 100644
--- a/ui/compositor/layer.h
+++ b/ui/compositor/layer.h
@@ -362,11 +362,6 @@ class COMPOSITOR_EXPORT Layer
   void SetForceRenderSurface(bool force);
   bool force_render_surface() const { return force_render_surface_; }
 
-  // TODO(danakj): Plumb this to the LayerDelegate::OnPaintLayer instead of
-  // providing it here. For more win, use the full damage region instead of a
-  // bounding rect.
-  gfx::Rect PaintRect() const;
-
   // LayerClient
   scoped_refptr<base::trace_event::ConvertableToTraceFormat> TakeDebugInfo()
       override;
@@ -534,9 +529,6 @@ class COMPOSITOR_EXPORT Layer
   // or SetTextureMailbox was called.
   gfx::Size frame_size_in_dip_;
 
-  bool inside_paint_;
-  gfx::Rect paint_rect_;
-
   DISALLOW_COPY_AND_ASSIGN(Layer);
 };