"Inherit methods, run validations"

traceMe = False
def trace(*args):
    if traceMe: print('[' + ' '.join(map(str, args)) + ']')

class BuiltinsMixin:
    def __add__(self, other):
        return self.__getattr__('__add__')(other)             # Route to validator
    def __str__(self):                                        # Finish operations
        return self.__getattr__('__str__')()
    def __getitem__(self, index):
        return self.__getattr__('__getitem__')(index)
    def __call__(self, *args, **kargs):
        return self.__getattr__('__call__')(*args, **kargs)
    # Plus any others needed

def accessControl(failIf):
    def onDecorator(aClass):
        class onInstance(BuiltinsMixin):                      # Inherit methods
            def __init__(self, *args, **kargs):
                self.__wrapped = aClass(*args, **kargs)

            def __getattr__(self, attr):
                trace('get:', attr)
                if failIf(attr):
                    raise TypeError('private attribute fetch, ' + attr)
                else:
                    return getattr(self.__wrapped, attr)

            def __setattr__(self, attr, value):
                trace('set:', attr, value)
                if attr == '_onInstance__wrapped':
                    self.__dict__[attr] = value
                elif failIf(attr):
                    raise TypeError('private attribute change, ' + attr)
                else:
                    setattr(self.__wrapped, attr, value)
        return onInstance
    return onDecorator

def Private(*attributes):
    return accessControl(failIf=(lambda attr: attr in attributes))

def Public(*attributes):
    return accessControl(failIf=(lambda attr: attr not in attributes))