



"""simple docstring"""


import warnings
from typing import List, Optional, Union

import numpy as np
import PIL
import torch
from PIL import Image

from .configuration_utils import ConfigMixin, register_to_config
from .utils import CONFIG_NAME, PIL_INTERPOLATION, deprecate







class  A_     (	SCREAMING_SNAKE_CASE_							):



						"""simple docstring"""
						__UpperCamelCase													=				CONFIG_NAME






						@register_to_config
						def __init__(   self					:Tuple  ,    lowercase_					:bool = True  ,    lowercase_					:int = 8  ,    lowercase_					:str = "lanczos"  ,    lowercase_					:bool = True  ,    lowercase_					:bool = False  ,    )							->     Union[str, Any]:
												super().__init__()






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:np.ndarray   )							->     PIL.Image.Image:
												if images.ndim == 3:
																		UpperCAmelCase			 =					images[None, ...]
												UpperCAmelCase			 =					(images * 2_55).round().astype('uint8'   )
												if images.shape[-1] == 1:
																		# special case for grayscale (single channel) images
																		UpperCAmelCase			 =					[Image.fromarray(image.squeeze()  ,    mode='L'   ) for image in images]
												else:
																		UpperCAmelCase			 =					[Image.fromarray(lowercase_   ) for image in images]

												return pil_images






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:Union[List[PIL.Image.Image], PIL.Image.Image]   )							->     np.ndarray:
												if not isinstance(lowercase_  ,    lowercase_   ):
																		UpperCAmelCase			 =					[images]
												UpperCAmelCase			 =					[np.array(lowercase_   ).astype(np.floataa   ) / 255.0 for image in images]
												UpperCAmelCase			 =					np.stack(lowercase_  ,    axis=0   )

												return images






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:np.ndarray   )							->     torch.FloatTensor:
												if images.ndim == 3:
																		UpperCAmelCase			 =					images[..., None]

												UpperCAmelCase			 =					torch.from_numpy(images.transpose(0  ,    3  ,    1  ,    2   )   )
												return images






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:torch.FloatTensor   )							->     np.ndarray:
												UpperCAmelCase			 =					images.cpu().permute(0  ,    2  ,    3  ,    1   ).float().numpy()
												return images






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:List[Any]   )							->     Optional[int]:
												return 2.0 * images - 1.0






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:str   )							->     str:
												return (images / 2 + 0.5).clamp(0  ,    1   )






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:PIL.Image.Image   )							->     PIL.Image.Image:
												UpperCAmelCase			 =					image.convert('RGB'   )
												return image






						def       UpperCAmelCase__	(   self					:Dict  ,    lowercase_					:PIL.Image.Image  ,    lowercase_					:Optional[int] = None  ,    lowercase_					:Optional[int] = None  ,    )							->     PIL.Image.Image:
												if height is None:
																		UpperCAmelCase			 =					image.height
												if width is None:
																		UpperCAmelCase			 =					image.width

												UpperCAmelCase ,       UpperCAmelCase			 =					(
												    x - x % self.config.vae_scale_factor for x in (width, height)
												)  # resize to integer multiple of vae_scale_factor
												UpperCAmelCase			 =					image.resize((width, height)  ,    resample=PIL_INTERPOLATION[self.config.resample]   )
												return image






						def       UpperCAmelCase__	(   self					:List[Any]  ,    lowercase_					:Union[torch.FloatTensor, PIL.Image.Image, np.ndarray]  ,    lowercase_					:Optional[int] = None  ,    lowercase_					:Optional[int] = None  ,    )							->     torch.Tensor:
												UpperCAmelCase			 =					(PIL.Image.Image, np.ndarray, torch.Tensor)
												if isinstance(lowercase_  ,    lowercase_   ):
																		UpperCAmelCase			 =					[image]
												elif not (isinstance(lowercase_  ,    lowercase_   ) and all(isinstance(lowercase_  ,    lowercase_   ) for i in image   )):
																		raise ValueError(
																		    f"""Input is in incorrect format: {[type(lowercase_   ) for i in image]}. Currently, we only support {', '.join(lowercase_   )}"""   )

												if isinstance(image[0]  ,    PIL.Image.Image   ):
																		if self.config.do_convert_rgb:
																								UpperCAmelCase			 =					[self.convert_to_rgb(lowercase_   ) for i in image]
																		if self.config.do_resize:
																								UpperCAmelCase			 =					[self.resize(lowercase_  ,    lowercase_  ,    lowercase_   ) for i in image]
																		UpperCAmelCase			 =					self.pil_to_numpy(lowercase_   )  # to np
																		UpperCAmelCase			 =					self.numpy_to_pt(lowercase_   )  # to pt

												elif isinstance(image[0]  ,    np.ndarray   ):
																		UpperCAmelCase			 =					np.concatenate(lowercase_  ,    axis=0   ) if image[0].ndim == 4 else np.stack(lowercase_  ,    axis=0   )
																		UpperCAmelCase			 =					self.numpy_to_pt(lowercase_   )
																		UpperCAmelCase ,       UpperCAmelCase ,       UpperCAmelCase ,       UpperCAmelCase			 =					image.shape
																		if self.config.do_resize and (
																		    height % self.config.vae_scale_factor != 0 or width % self.config.vae_scale_factor != 0
																		):
																								raise ValueError(
																								    f"""Currently we only support resizing for PIL image - please resize your numpy array to be divisible by {self.config.vae_scale_factor}"""
																								    f"""currently the sizes are {height} and {width}. You can also pass a PIL image instead to use resize option in VAEImageProcessor"""   )

												elif isinstance(image[0]  ,    torch.Tensor   ):
																		UpperCAmelCase			 =					torch.cat(lowercase_  ,    axis=0   ) if image[0].ndim == 4 else torch.stack(lowercase_  ,    axis=0   )
																		UpperCAmelCase ,       UpperCAmelCase ,       UpperCAmelCase ,       UpperCAmelCase			 =					image.shape

																		# don't need any preprocess if the image is latents
																		if channel == 4:
																								return image

																		if self.config.do_resize and (
																		    height % self.config.vae_scale_factor != 0 or width % self.config.vae_scale_factor != 0
																		):
																								raise ValueError(
																								    f"""Currently we only support resizing for PIL image - please resize your pytorch tensor to be divisible by {self.config.vae_scale_factor}"""
																								    f"""currently the sizes are {height} and {width}. You can also pass a PIL image instead to use resize option in VAEImageProcessor"""   )

        # expected range [0,1], normalize to [-1,1]
												UpperCAmelCase			 =					self.config.do_normalize
												if image.min() < 0:
																		warnings.warn(
																		    'Passing `image` as torch tensor with value range in [-1,1] is deprecated. The expected value range for image tensor is [0,1] '
																		    f"""when passing as pytorch tensor or numpy Array. You passed `image` with value range [{image.min()},{image.max()}]"""  ,    lowercase_  ,    )
																		UpperCAmelCase			 =					False

												if do_normalize:
																		UpperCAmelCase			 =					self.normalize(lowercase_   )

												return image






						def       UpperCAmelCase__	(   self					:Union[str, Any]  ,    lowercase_					:torch.FloatTensor  ,    lowercase_					:str = "pil"  ,    lowercase_					:Optional[List[bool]] = None  ,    )							->     List[str]:
												if not isinstance(lowercase_  ,    torch.Tensor   ):
																		raise ValueError(
																		    f"""Input for postprocessing is in incorrect format: {type(lowercase_   )}. We only support pytorch tensor"""   )
												if output_type not in ["latent", "pt", "np", "pil"]:
																		UpperCAmelCase			 =					(
																		    f"""the output_type {output_type} is outdated and has been set to `np`. Please make sure to set it to one of these instead: """
																		    '`pil`, `np`, `pt`, `latent`'
																		)
																		deprecate('Unsupported output_type'  ,    '1.0.0'  ,    lowercase_  ,    standard_warn=lowercase_   )
																		UpperCAmelCase			 =					'np'

												if output_type == "latent":
																		return image

												if do_denormalize is None:
																		UpperCAmelCase			 =					[self.config.do_normalize] * image.shape[0]

												UpperCAmelCase			 =					torch.stack(
												    [self.denormalize(image[i]   ) if do_denormalize[i] else image[i] for i in range(image.shape[0]   )]   )

												if output_type == "pt":
																		return image

												UpperCAmelCase			 =					self.pt_to_numpy(lowercase_   )

												if output_type == "np":
																		return image

												if output_type == "pil":
																		return self.numpy_to_pil(lowercase_   )







class  A_     (	SCREAMING_SNAKE_CASE_							):



						"""simple docstring"""
						__UpperCamelCase													=				CONFIG_NAME






						@register_to_config
						def __init__(   self					:Union[str, Any]  ,    lowercase_					:bool = True  ,    lowercase_					:int = 8  ,    lowercase_					:str = "lanczos"  ,    lowercase_					:bool = True  ,    )							->     List[Any]:
												super().__init__()






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:Optional[int]   )							->     Optional[Any]:
												if images.ndim == 3:
																		UpperCAmelCase			 =					images[None, ...]
												UpperCAmelCase			 =					(images * 2_55).round().astype('uint8'   )
												if images.shape[-1] == 1:
																		# special case for grayscale (single channel) images
																		UpperCAmelCase			 =					[Image.fromarray(image.squeeze()  ,    mode='L'   ) for image in images]
												else:
																		UpperCAmelCase			 =					[Image.fromarray(image[:, :, :3]   ) for image in images]

												return pil_images






						@staticmethod
						def       UpperCAmelCase__	(   lowercase_					:Any   )							->     Union[str, Any]:
												return image[:, :, 1] * 2**8 + image[:, :, 2]






						def       UpperCAmelCase__	(   self					:Optional[Any]  ,    lowercase_					:int   )							->     Tuple:
												if images.ndim == 3:
																		UpperCAmelCase			 =					images[None, ...]
												UpperCAmelCase			 =					images[:, :, :, 3:]
												if images.shape[-1] == 6:
																		UpperCAmelCase			 =					(images_depth * 2_55).round().astype('uint8'   )
																		UpperCAmelCase			 =					[
																		    Image.fromarray(self.rgblike_to_depthmap(lowercase_   )  ,    mode='I;16'   ) for image_depth in images_depth
																		]
												elif images.shape[-1] == 4:
																		UpperCAmelCase			 =					(images_depth * 6_5535.0).astype(np.uintaa   )
																		UpperCAmelCase			 =					[Image.fromarray(lowercase_  ,    mode='I;16'   ) for image_depth in images_depth]
												else:
																		raise Exception('Not supported'   )

												return pil_images






						def       UpperCAmelCase__	(   self					:Optional[int]  ,    lowercase_					:torch.FloatTensor  ,    lowercase_					:str = "pil"  ,    lowercase_					:Optional[List[bool]] = None  ,    )							->     Dict:
												if not isinstance(lowercase_  ,    torch.Tensor   ):
																		raise ValueError(
																		    f"""Input for postprocessing is in incorrect format: {type(lowercase_   )}. We only support pytorch tensor"""   )
												if output_type not in ["latent", "pt", "np", "pil"]:
																		UpperCAmelCase			 =					(
																		    f"""the output_type {output_type} is outdated and has been set to `np`. Please make sure to set it to one of these instead: """
																		    '`pil`, `np`, `pt`, `latent`'
																		)
																		deprecate('Unsupported output_type'  ,    '1.0.0'  ,    lowercase_  ,    standard_warn=lowercase_   )
																		UpperCAmelCase			 =					'np'

												if do_denormalize is None:
																		UpperCAmelCase			 =					[self.config.do_normalize] * image.shape[0]

												UpperCAmelCase			 =					torch.stack(
												    [self.denormalize(image[i]   ) if do_denormalize[i] else image[i] for i in range(image.shape[0]   )]   )

												UpperCAmelCase			 =					self.pt_to_numpy(lowercase_   )

												if output_type == "np":
																		if image.shape[-1] == 6:
																								UpperCAmelCase			 =					np.stack([self.rgblike_to_depthmap(im[:, :, 3:]   ) for im in image]  ,    axis=0   )
																		else:
																								UpperCAmelCase			 =					image[:, :, :, 3:]
																		return image[:, :, :, :3], image_depth

												if output_type == "pil":
																		return self.numpy_to_pil(lowercase_   ), self.numpy_to_depth(lowercase_   )
												else:
																		raise Exception(f"""This type {output_type} is not supported"""   )












from __future__ import annotations

from collections.abc import Iterable

class 						UpperCamelCase__					:



     '''simple docstring'''

     def __init__(				self		:       Optional[Any]		,lowerCamelCase__		:       Optional[int]		,lowerCamelCase__		:       List[Any]			)	->						int:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE,   SCREAMING_SNAKE_CASE						=		float(lowerCamelCase__			), float(lowerCamelCase__			)






     def __eq__(				self		:       int		,lowerCamelCase__		:       Union[str, Any]			)	->						List[str]:




           '''simple docstring'''


           return self.x == other.x and self.y == other.y






     def __ne__(				self		:       Optional[int]		,lowerCamelCase__		:       int			)	->						Dict:




           '''simple docstring'''


           return not self == other






     def __gt__(				self		:       Optional[Any]		,lowerCamelCase__		:       Optional[Any]			)	->						List[Any]:




           '''simple docstring'''


           if self.x > other.x:
                 return True
           elif self.x == other.x:
                 return self.y > other.y
           return False






     def __lt__(				self		:       Union[str, Any]		,lowerCamelCase__		:       Optional[Any]			)	->						Optional[Any]:




           '''simple docstring'''


           return not self > other






     def __ge__(				self		:       Optional[Any]		,lowerCamelCase__		:       Tuple			)	->						Optional[Any]:




           '''simple docstring'''


           if self.x > other.x:
                 return True
           elif self.x == other.x:
                 return self.y >= other.y
           return False






     def __le__(				self		:       Tuple		,lowerCamelCase__		:       int			)	->						Dict:




           '''simple docstring'''


           if self.x < other.x:
                 return True
           elif self.x == other.x:
                 return self.y <= other.y
           return False






     def __repr__(				self		:       Dict			)	->						Any:




           '''simple docstring'''


           return F"""({self.x}, {self.y})"""






     def __hash__(				self		:       List[Any]			)	->						List[Any]:




           '''simple docstring'''


           return hash(self.x			)



def   __lowercase  ( _SCREAMING_SNAKE_CASE					,		)					->  list[Point]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		[]
      if list_of_tuples:
            for p in list_of_tuples:
                  if isinstance(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      ):
                        points.append(_SCREAMING_SNAKE_CASE      )
                  else:
                        try:
                              points.append(Point(p[0]					,		p[1]      )      )
                        except (IndexError, TypeError):
                              print(
                                  F"""Ignoring deformed point {p}. All points"""
                                  """ must have at least 2 coordinates."""      )
      return points



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[Point]:


      '''simple docstring'''


      if not hasattr(_SCREAMING_SNAKE_CASE					,		"""__iter__"""      ):
            SCREAMING_SNAKE_CASE						=		F"""Expecting an iterable object but got an non-iterable type {points}"""
            raise ValueError(_SCREAMING_SNAKE_CASE      )

      if not points:
            SCREAMING_SNAKE_CASE						=		F"""Expecting a list of points but got {points}"""
            raise ValueError(_SCREAMING_SNAKE_CASE      )

      return _construct_points(_SCREAMING_SNAKE_CASE      )



def   __lowercase  ( _SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )					->  float:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		(a.x * b.y + b.x * c.y + c.x * a.y) - (a.y * b.x + b.y * c.x + c.y * a.x)
      return det



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[Point]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		sorted(_validate_input(_SCREAMING_SNAKE_CASE      )      )
      SCREAMING_SNAKE_CASE						=		len(_SCREAMING_SNAKE_CASE      )
      SCREAMING_SNAKE_CASE						=		set()

      for i in range(n - 1      ):
            for j in range(i + 1					,		_SCREAMING_SNAKE_CASE      ):
                  SCREAMING_SNAKE_CASE						=		SCREAMING_SNAKE_CASE						=		False
                  SCREAMING_SNAKE_CASE						=		True
                  for k in range(_SCREAMING_SNAKE_CASE      ):
                        if k != i and k != j:
                              SCREAMING_SNAKE_CASE						=		_det(points[i]					,		points[j]					,		points[k]      )

                              if det_k > 0:
                                    SCREAMING_SNAKE_CASE						=		True
                              elif det_k < 0:
                                    SCREAMING_SNAKE_CASE						=		True
                              else:
                                    # point[i], point[j], point[k] all lie on a straight line
                                    # if point[k] is to the left of point[i] or it's to the
                                    # right of point[j], then point[i], point[j] cannot be
                                    # part of the convex hull of A
                                    if points[k] < points[i] or points[k] > points[j]:
                                          SCREAMING_SNAKE_CASE						=		False
                                          break

                        if points_left_of_ij and points_right_of_ij:
                              SCREAMING_SNAKE_CASE						=		False
                              break

                  if ij_part_of_convex_hull:
                        convex_set.update([points[i], points[j]]      )

      return sorted(_SCREAMING_SNAKE_CASE      )



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[Point]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		sorted(_validate_input(_SCREAMING_SNAKE_CASE      )      )
      SCREAMING_SNAKE_CASE						=		len(_SCREAMING_SNAKE_CASE      )

      # divide all the points into an upper hull and a lower hull
      # the left most point and the right most point are definitely
      # members of the convex hull by definition.
      # use these two anchors to divide all the points into two hulls,
      # an upper hull and a lower hull.

      # all points to the left (above) the line joining the extreme points belong to the
      # upper hull
      # all points to the right (below) the line joining the extreme points below to the
      # lower hull
      # ignore all points on the line joining the extreme points since they cannot be
      # part of the convex hull

      SCREAMING_SNAKE_CASE						=		points[0]
      SCREAMING_SNAKE_CASE						=		points[n - 1]

      SCREAMING_SNAKE_CASE						=		{left_most_point, right_most_point}
      SCREAMING_SNAKE_CASE						=		[]
      SCREAMING_SNAKE_CASE						=		[]

      for i in range(1					,		n - 1      ):
            SCREAMING_SNAKE_CASE						=		_det(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		points[i]      )

            if det > 0:
                  upper_hull.append(points[i]      )
            elif det < 0:
                  lower_hull.append(points[i]      )

      _construct_hull(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )
      _construct_hull(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )

      return sorted(_SCREAMING_SNAKE_CASE      )



def   __lowercase  ( _SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )					->  None:


      '''simple docstring'''


      if points:
            SCREAMING_SNAKE_CASE						=		None
            SCREAMING_SNAKE_CASE						=		float("""-inf"""      )
            SCREAMING_SNAKE_CASE						=		[]

            for p in points:
                  SCREAMING_SNAKE_CASE						=		_det(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )

                  if det > 0:
                        candidate_points.append(_SCREAMING_SNAKE_CASE      )

                        if det > extreme_point_distance:
                              SCREAMING_SNAKE_CASE						=		det
                              SCREAMING_SNAKE_CASE						=		p

            if extreme_point:
                  _construct_hull(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )
                  convex_set.add(_SCREAMING_SNAKE_CASE      )
                  _construct_hull(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      )



def   __lowercase  ( _SCREAMING_SNAKE_CASE      )					->  list[Point]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		sorted(_validate_input(_SCREAMING_SNAKE_CASE      )      )
      SCREAMING_SNAKE_CASE						=		len(_SCREAMING_SNAKE_CASE      )

      SCREAMING_SNAKE_CASE						=		points[:2]
      for i in range(2					,		_SCREAMING_SNAKE_CASE      ):
            SCREAMING_SNAKE_CASE						=		_det(convex_hull[1]					,		convex_hull[0]					,		points[i]      )
            if det > 0:
                  convex_hull.insert(0					,		points[i]      )
                  break
            elif det < 0:
                  convex_hull.append(points[i]      )
                  break
            else:
                  SCREAMING_SNAKE_CASE						=		points[i]
      i += 1

      for j in range(_SCREAMING_SNAKE_CASE					,		_SCREAMING_SNAKE_CASE      ):
            if (
                _det(convex_hull[0]					,		convex_hull[-1]					,		points[j]      ) > 0
                and _det(convex_hull[-1]					,		convex_hull[0]					,		points[1]      ) < 0
            ):
                  # The point lies within the convex hull
                  continue

            convex_hull.insert(0					,		points[j]      )
            convex_hull.append(points[j]      )
            while _det(convex_hull[0]					,		convex_hull[1]					,		convex_hull[2]      ) >= 0:
                  del convex_hull[1]
            while _det(convex_hull[-1]					,		convex_hull[-2]					,		convex_hull[-3]      ) <= 0:
                  del convex_hull[-2]

    # `convex_hull` is contains the convex hull in circular order
      return sorted(convex_hull[1:] if len(_SCREAMING_SNAKE_CASE      ) > 3 else convex_hull      )



def   __lowercase  ( )					->  Any:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE						=		[
          (0, 3),
          (2, 2),
          (1, 1),
          (2, 1),
          (3, 0),
          (0, 0),
          (3, 3),
          (2, -1),
          (2, -4),
          (1, -3),
      ]
      # the convex set of points is
      # [(0, 0), (0, 3), (1, -3), (2, -4), (3, 0), (3, 3)]
      SCREAMING_SNAKE_CASE						=		convex_hull_bf(_SCREAMING_SNAKE_CASE      )

      SCREAMING_SNAKE_CASE						=		convex_hull_recursive(_SCREAMING_SNAKE_CASE      )
      assert results_bf == results_recursive

      SCREAMING_SNAKE_CASE						=		convex_hull_melkman(_SCREAMING_SNAKE_CASE      )
      assert results_bf == results_melkman

      print(_SCREAMING_SNAKE_CASE      )


if __name__ == "__main__":
      main()


