Fix initial hiding and centering cursor on Ozone

ui/aura/env.h

Index: ui/aura/env.h
diff --git a/ui/aura/env.h b/ui/aura/env.h
index 4ae2d694f0ff67db75c8dd8ec5a5f5d2f65edbea..8b6db019306ba34dddbb32b97818ac2d2e1f6694 100644
--- a/ui/aura/env.h
+++ b/ui/aura/env.h
@@ -42,6 +42,8 @@ class AURA_EXPORT Env : public ui::EventTarget, public base::SupportsUserData {
   void AddObserver(EnvObserver* observer);
   void RemoveObserver(EnvObserver* observer);
 
+  bool mouse_moved() const { return mouse_moved_; }
+
   int mouse_button_flags() const { return mouse_button_flags_; }
   void set_mouse_button_flags(int mouse_button_flags) {
     mouse_button_flags_ = mouse_button_flags;
@@ -53,9 +55,7 @@ class AURA_EXPORT Env : public ui::EventTarget, public base::SupportsUserData {
   // Gets/sets the last mouse location seen in a mouse event in the screen
   // coordinates.
   const gfx::Point& last_mouse_location() const { return last_mouse_location_; }
-  void set_last_mouse_location(const gfx::Point& last_mouse_location) {
-    last_mouse_location_ = last_mouse_location;
-  }
+  void SetLastMouseLocation(const gfx::Point& last_mouse_location);
 
   // Whether any touch device is currently down.
   bool is_touch_down() const { return is_touch_down_; }
@@ -94,6 +94,9 @@ class AURA_EXPORT Env : public ui::EventTarget, public base::SupportsUserData {
 
   ObserverList<EnvObserver> observers_;
 
+  // Whether the mouse was moved from its initial location.
+  bool mouse_moved_;
+
   int mouse_button_flags_;
   // Location of last mouse event, in screen coordinates.
   gfx::Point last_mouse_location_;