class Paginator:
    def __init__(self, object_list, per_page, orphans=0,
                 allow_empty_first_page=True):
        self.object_list = object_list
        self._check_object_list_is_ordered()
        self.per_page = int(per_page)
        self.orphans = int(orphans)
        self.allow_empty_first_page = allow_empty_first_page
 
    def validate_number(self, number):
        
        try:
            if isinstance(number, float) and not number.is_integer():
                raise ValueError
            number = int(number)
        except (TypeError, ValueError):
            raise PageNotAnInteger(_('That page number is not an integer'))
        if number < 1:
            raise EmptyPage(_('That page number is less than 1'))
        if number > self.num_pages:
            if number == 1 and self.allow_empty_first_page:
                pass
            else:
                raise EmptyPage(_('That page contains no results'))
        return number
 
    def get_page(self, number):
        
        
        
        
        try:
            number = self.validate_number(number)
        except PageNotAnInteger:
            number = 1
        except EmptyPage:
            number = self.num_pages
        return self.page(number)
 
    def page(self, number):
        
        number = self.validate_number(number)
        bottom = (number - 1) * self.per_page
        top = bottom + self.per_page
        if top + self.orphans >= self.count:
            top = self.count
        return self._get_page(self.object_list[bottom:top], number, self)
 
    def _get_page(self, *args, **kwargs):
        
        
 
        
        
        
        return Page(*args, **kwargs)
 
    @cached_property
    def count(self):
        
        c = getattr(self.object_list, 'count', None)
        if callable(c) and not inspect.isbuiltin(c) and method_has_no_args(c):
            return c()
        return len(self.object_list)
 
    @cached_property
    def num_pages(self):
        
        if self.count == 0 and not self.allow_empty_first_page:
            return 0
        hits = max(1, self.count - self.orphans)
        return ceil(hits / self.per_page)
 
    @property
    def page_range(self):
        
        
        
        
        return range(1, self.num_pages + 1)
 
    def _check_object_list_is_ordered(self):
        
        
        
        ordered = getattr(self.object_list, 'ordered', None)
        if ordered is not None and not ordered:
            obj_list_repr = (
                '{} {}'.format(self.object_list.model, self.object_list.__class__.__name__)
                if hasattr(self.object_list, 'model')
                else '{!r}'.format(self.object_list)
            )
            warnings.warn(
                'Pagination may yield inconsistent results with an unordered '
                'object_list: {}.'.format(obj_list_repr),
                UnorderedObjectListWarning,
                stacklevel=3
            )