


from typing import List, Optional, Tuple, Union

import torch

from ...schedulers import DDIMScheduler
from ...utils import randn_tensor
from ..pipeline_utils import DiffusionPipeline, ImagePipelineOutput


class 			A_   (			A__       ):




      '''simple docstring'''


      def __init__(							self:			Any		, a:			Any		, a:			Optional[int]							):
       super().__init__()

       # make sure scheduler can always be converted to DDIM
       __lowerCamelCase						:				Tuple						   =		DDIMScheduler.from_config(scheduler.config							)

       self.register_modules(unet=UpperCamelCase_		, scheduler=UpperCamelCase_							)




      @torch.no_grad()
      def __call__(							self:			List[Any]		, a:			Any = 1		, a:			List[Any] = None		, a:			Optional[int] = 0.0		, a:			Union[str, Any] = 50		, a:			Union[str, Any] = None		, a:			Tuple = "pil"		, a:			List[str] = True		, ):


       if isinstance(self.unet.config.sample_size		, UpperCamelCase_							):
        __lowerCamelCase						:				Tuple						   =		(
            batch_size,
            self.unet.config.in_channels,
            self.unet.config.sample_size,
            self.unet.config.sample_size,
        )
       else:
        __lowerCamelCase						:				Dict						   =		(batch_size, self.unet.config.in_channels, *self.unet.config.sample_size)

       if isinstance(UpperCamelCase_		, UpperCamelCase_							) and len(UpperCamelCase_							) != batch_size:
        raise ValueError(
            F'You have passed a list of generators of length {len(UpperCamelCase_							)}, but requested an effective batch'
            F' size of {batch_size}. Make sure the batch size matches the length of the generators.'							)

       __lowerCamelCase						:				Optional[int]						   =		randn_tensor(UpperCamelCase_		, generator=UpperCamelCase_		, device=self.device		, dtype=self.unet.dtype							)

       # set step values
       self.scheduler.set_timesteps(UpperCamelCase_							)

       for t in self.progress_bar(self.scheduler.timesteps							):
        # 1. predict noise model_output
        __lowerCamelCase						:				Any						   =		self.unet(UpperCamelCase_		, UpperCamelCase_							).sample

        # 2. predict previous mean of image x_t-1 and add variance depending on eta
        # eta corresponds to η in paper and should be between [0, 1]
        # do x_t -> x_t-1
        __lowerCamelCase						:				Any						   =		self.scheduler.step(
            UpperCamelCase_		, UpperCamelCase_		, UpperCamelCase_		, eta=UpperCamelCase_		, use_clipped_model_output=UpperCamelCase_		, generator=UpperCamelCase_							).prev_sample

       __lowerCamelCase						:				List[Any]						   =		(image / 2 + 0.5).clamp(0		, 1							)
       __lowerCamelCase						:				str						   =		image.cpu().permute(0		, 2		, 3		, 1							).numpy()
       if output_type == "pil":
        __lowerCamelCase						:				int						   =		self.numpy_to_pil(UpperCamelCase_							)

       if not return_dict:
        return (image,)

       return ImagePipelineOutput(images=UpperCamelCase_							)





'''simple docstring'''
from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload
class   lowercase      :

		"""simple docstring"""

		def __init__(						self       ,  UpperCamelCase_ = None				):

							'''simple docstring'''


							if components is None:
												UpperCamelCase__  :List[Any]				   =					[]
							UpperCamelCase__  :Optional[Any]				   =					list(UpperCamelCase_				)




		def __len__(						self				):

							'''simple docstring'''


							return len(self.__components				)




		def __str__(						self				):

							'''simple docstring'''


							return "(" + ",".join(map(UpperCamelCase_       ,  self.__components				)				) + ")"




		def __add__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							UpperCamelCase__  :Any				   =					len(self				)
							if size == len(UpperCamelCase_				):
												UpperCamelCase__  :Dict				   =					[self.__components[i] + other.component(UpperCamelCase_				) for i in range(UpperCamelCase_				)]
												return Vector(UpperCamelCase_				)
							else:
												raise Exception('''must have the same size'''				)




		def __sub__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							UpperCamelCase__  :Optional[Any]				   =					len(self				)
							if size == len(UpperCamelCase_				):
												UpperCamelCase__  :List[str]				   =					[self.__components[i] - other.component(UpperCamelCase_				) for i in range(UpperCamelCase_				)]
												return Vector(UpperCamelCase_				)
							else:  # error case
												raise Exception('''must have the same size'''				)




		@overload
		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							...




		@overload
		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							...




		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							if isinstance(UpperCamelCase_       ,  (float, int)				):
												UpperCamelCase__  :Optional[Any]				   =					[c * other for c in self.__components]
												return Vector(UpperCamelCase_				)
							elif isinstance(UpperCamelCase_       ,  UpperCamelCase_				) and len(self				) == len(UpperCamelCase_				):
												UpperCamelCase__  :Optional[int]				   =					len(self				)
												UpperCamelCase__  :List[Any]				   =					[self.__components[i] * other.component(UpperCamelCase_				) for i in range(UpperCamelCase_				)]
												return sum(UpperCamelCase_				)
							else:  # error case
												raise Exception('''invalid operand!'''				)




		def        lowerCAmelCase__							(						self				):

							'''simple docstring'''


							return Vector(self.__components				)




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							if isinstance(UpperCamelCase_       ,  UpperCamelCase_				) and -len(self.__components				) <= i < len(self.__components				):
												return self.__components[i]
							else:
												raise Exception('''index out of range'''				)




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							assert -len(self.__components				) <= pos < len(self.__components				)
							UpperCamelCase__  :Optional[int]				   =					value




		def        lowerCAmelCase__							(						self				):

							'''simple docstring'''


							if len(self.__components				) == 0:
												raise Exception('''Vector is empty'''				)
							UpperCamelCase__  :List[str]				   =					[c**2 for c in self.__components]
							return math.sqrt(sum(UpperCamelCase_				)				)




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_ = False				):

							'''simple docstring'''


							UpperCamelCase__  :List[Any]				   =					self * other
							UpperCamelCase__  :Optional[int]				   =					self.euclidean_length() * other.euclidean_length()
							if deg:
												return math.degrees(math.acos(num / den				)				)
							else:
												return math.acos(num / den				)



def      a (     __a  )    ->      Vector:



					'''simple docstring'''






					assert isinstance(__a					,   __a  )
					return Vector([0] * dimension  )


def      a (     __a					,   __a  )    ->      Vector:



					'''simple docstring'''






					assert isinstance(__a					,   __a  ) and (isinstance(__a					,   __a  ))
					UpperCamelCase__  :str				   =					[0] * dimension
					UpperCamelCase__  :Tuple				   =					1
					return Vector(__a  )


def      a (     __a					,   __a					,   __a  )    ->      Vector:



					'''simple docstring'''






					assert (
					    isinstance(__a					,   __a  )
					    and isinstance(__a					,   __a  )
					    and (isinstance(__a					,   (int, float)  ))
					)
					return x * scalar + y


def      a (     __a					,   __a					,   __a  )    ->      Vector:



					'''simple docstring'''






					random.seed(__a  )
					UpperCamelCase__  :Optional[Any]				   =					[random.randint(__a					,   __a  ) for _ in range(__a  )]
					return Vector(__a  )
class   lowercase      :

		"""simple docstring"""

		def __init__(						self       ,  UpperCamelCase_       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							UpperCamelCase__  :int				   =					matrix
							UpperCamelCase__  :Union[str, Any]				   =					w
							UpperCamelCase__  :Optional[int]				   =					h




		def __str__(						self				):

							'''simple docstring'''


							UpperCamelCase__  :Dict				   =					''''''
							for i in range(self.__height				):
												ans += "|"
												for j in range(self.__width				):
																	if j < self.__width - 1:
																						ans += str(self.__matrix[i][j]				) + ","
																	else:
																						ans += str(self.__matrix[i][j]				) + "|\n"
							return ans




		def __add__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							if self.__width == other.width() and self.__height == other.height():
												UpperCamelCase__  :int				   =					[]
												for i in range(self.__height				):
																	UpperCamelCase__  :int				   =					[
																	    self.__matrix[i][j] + other.component(UpperCamelCase_       ,  UpperCamelCase_				)
																	    for j in range(self.__width				)
																	]
																	matrix.append(UpperCamelCase_				)
												return Matrix(UpperCamelCase_       ,  self.__width       ,  self.__height				)
							else:
												raise Exception('''matrix must have the same dimension!'''				)




		def __sub__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							if self.__width == other.width() and self.__height == other.height():
												UpperCamelCase__  :Optional[Any]				   =					[]
												for i in range(self.__height				):
																	UpperCamelCase__  :Optional[int]				   =					[
																	    self.__matrix[i][j] - other.component(UpperCamelCase_       ,  UpperCamelCase_				)
																	    for j in range(self.__width				)
																	]
																	matrix.append(UpperCamelCase_				)
												return Matrix(UpperCamelCase_       ,  self.__width       ,  self.__height				)
							else:
												raise Exception('''matrices must have the same dimension!'''				)




		@overload
		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							...




		@overload
		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							...




		def __mul__(						self       ,  UpperCamelCase_				):

							'''simple docstring'''


							if isinstance(UpperCamelCase_       ,  UpperCamelCase_				):  # matrix-vector
												if len(UpperCamelCase_				) == self.__width:
																	UpperCamelCase__  :Any				   =					zero_vector(self.__height				)
																	for i in range(self.__height				):
																						UpperCamelCase__  :Any				   =					[
																						    self.__matrix[i][j] * other.component(UpperCamelCase_				)
																						    for j in range(self.__width				)
																						]
																						ans.change_component(UpperCamelCase_       ,  sum(UpperCamelCase_				)				)
																	return ans
												else:
																	raise Exception(
																	    '''vector must have the same size as the '''
																	    '''number of columns of the matrix!'''				)
							elif isinstance(UpperCamelCase_       ,  (int, float)				):  # matrix-scalar
												UpperCamelCase__  :Union[str, Any]				   =					[
												    [self.__matrix[i][j] * other for j in range(self.__width				)]
												    for i in range(self.__height				)
												]
												return Matrix(UpperCamelCase_       ,  self.__width       ,  self.__height				)
							return None




		def        lowerCAmelCase__							(						self				):

							'''simple docstring'''


							return self.__height




		def        lowerCAmelCase__							(						self				):

							'''simple docstring'''


							return self.__width




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							if 0 <= x < self.__height and 0 <= y < self.__width:
												return self.__matrix[x][y]
							else:
												raise Exception('''change_component: indices out of bounds'''				)




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							if 0 <= x < self.__height and 0 <= y < self.__width:
												UpperCamelCase__  :Tuple				   =					value
							else:
												raise Exception('''change_component: indices out of bounds'''				)




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							if self.__height != self.__width:
												raise Exception('''Matrix is not square'''				)
							UpperCamelCase__  :str				   =					self.__matrix[:x] + self.__matrix[x + 1 :]
							for i in range(len(UpperCamelCase_				)				):
												UpperCamelCase__  :Union[str, Any]				   =					minor[i][:y] + minor[i][y + 1 :]
							return Matrix(UpperCamelCase_       ,  self.__width - 1       ,  self.__height - 1				).determinant()




		def        lowerCAmelCase__							(						self       ,  UpperCamelCase_       ,  UpperCamelCase_				):

							'''simple docstring'''


							if self.__height != self.__width:
												raise Exception('''Matrix is not square'''				)
							if 0 <= x < self.__height and 0 <= y < self.__width:
												return (-1) ** (x + y) * self.minor(UpperCamelCase_       ,  UpperCamelCase_				)
							else:
												raise Exception('''Indices out of bounds'''				)




		def        lowerCAmelCase__							(						self				):

							'''simple docstring'''


							if self.__height != self.__width:
												raise Exception('''Matrix is not square'''				)
							if self.__height < 1:
												raise Exception('''Matrix has no element'''				)
							elif self.__height == 1:
												return self.__matrix[0][0]
							elif self.__height == 2:
												return (
												    self.__matrix[0][0] * self.__matrix[1][1]
												    - self.__matrix[0][1] * self.__matrix[1][0]
												)
							else:
												UpperCamelCase__  :Optional[Any]				   =					[
												    self.__matrix[0][y] * self.cofactor(0       ,  UpperCamelCase_				) for y in range(self.__width				)
												]
												return sum(UpperCamelCase_				)



def      a (     __a  )    ->      Matrix:



					'''simple docstring'''






					UpperCamelCase__  :list[list[float]]				   =					[[0] * n for _ in range(__a  )]
					return Matrix(__a					,   __a					,   __a  )







def      a (     __a					,   __a					,   __a					,   __a  )    ->      Matrix:



					'''simple docstring'''






					random.seed(__a  )
					UpperCamelCase__  :list[list[float]]				   =					[
					    [random.randint(__a					,   __a  ) for _ in range(__a  )] for _ in range(__a  )
					]
					return Matrix(__a					,   __a					,   __a  )