InputCommon: Name properly xbox 360 and one controllers, Fix mappings for Nintendo Pro controllers

src/input_common/sdl/sdl_impl.h

@@ -14,6 +14,7 @@
 #include "input_common/sdl/sdl.h"
 
 union SDL_Event;
+using SDL_GameController = struct _SDL_GameController;
 using SDL_Joystick = struct _SDL_Joystick;
 using SDL_JoystickID = s32;
 
@@ -64,6 +65,9 @@ private:
     /// Needs to be called before SDL_QuitSubSystem.
     void CloseJoysticks();
 
+    /// Returns a custom name for specific controllers because the default name is not correct
+    std::string GetControllerName(SDL_GameController* controller) const;
+
     // Set to true if SDL supports game controller subsystem
     bool has_gamecontroller = false;