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

views/widget/native_widget_views.cc

Index: views/widget/native_widget_views.cc
===================================================================
--- views/widget/native_widget_views.cc	(revision 100773)
+++ views/widget/native_widget_views.cc	(working copy)
@@ -183,15 +183,12 @@
   return hosting_widget_->GetCompositor();
 }
 
-void NativeWidgetViews::MarkLayerDirty() {
-  view_->MarkLayerDirty();
+void NativeWidgetViews::CalculateOffsetToAncestorWithLayer(
+    gfx::Point* offset,
+    ui::Layer** layer_parent) {
+  view_->CalculateOffsetToAncestorWithLayer(offset, layer_parent);
 }
 
-void NativeWidgetViews::CalculateOffsetToAncestorWithLayer(gfx::Point* offset,
-                                                           View** ancestor) {
-  view_->CalculateOffsetToAncestorWithLayer(offset, ancestor);
-}
-
 void NativeWidgetViews::ViewRemoved(View* view) {
   internal::NativeWidgetPrivate* parent = GetParentNativeWidget();
   if (parent)
@@ -470,7 +467,7 @@
 }
 
 void NativeWidgetViews::SchedulePaintInRect(const gfx::Rect& rect) {
-  view_->SchedulePaintInternal(rect);
+  view_->SchedulePaintInRect(rect);
 }
 
 void NativeWidgetViews::SetCursor(gfx::NativeCursor cursor) {