






"""simple docstring"""



from __future__ import annotations

from random import random
from typing import Generic, TypeVar

A_    =							TypeVar('''KT''')
A_    =							TypeVar('''VT''')






class 							__SCREAMING_SNAKE_CASE						(				Generic[KT, VT]		):


							def __init__(			self      :						Optional[Any]			,    snake_case      :						KT | str = "root"			,    snake_case      :						VT | None = None							):
													'''simple docstring'''





													A__						:  int		  =  key
													A__						:  Optional[Any]		  =  value
													A__						:  list[Node[KT, VT]]		  =  []


							def __repr__(			self      :						Dict							):
													'''simple docstring'''





													return F'Node({self.key}: {self.value})'


							@property
							def 						_UpperCamelCase       (			self      :						Optional[Any]							):
													'''simple docstring'''





													return len(self.forward							)






class 							__SCREAMING_SNAKE_CASE						(				Generic[KT, VT]		):


							def __init__(			self      :						Any			,    snake_case      :						float = 0.5			,    snake_case      :						int = 16							):
													'''simple docstring'''





													A__						:  Node[KT, VT]		  =  Node[KT, VT]()
													A__						:  Tuple		  =  0
													A__						:  Tuple		  =  p
													A__						:  Any		  =  max_level


							def __str__(			self      :						Dict							):
													'''simple docstring'''





													A__						:  Any		  =  list(self							)

													if len(snake_case							) == 0:
																			return F'SkipList(level={self.level})'

													A__						:  int		  =  max((len(str(snake_case							)							) for item in items)			,    default=4							)
													A__						:  Optional[int]		  =  max(snake_case			,    4							) + 4

													A__						:  List[str]		  =  self.head
													A__						:  Tuple		  =  []

													A__						:  int		  =  node.forward.copy()
													lines.append(F'[{node.key}]'.ljust(snake_case			,    """-"""							) + """* """ * len(snake_case							)							)
													lines.append(""" """ * label_size + """| """ * len(snake_case							)							)

													while len(node.forward							) != 0:
																			A__						:  Tuple		  =  node.forward[0]

																			lines.append(
																			    F'[{node.key}]'.ljust(snake_case			,    """-"""							)
																			    + """ """.join(str(n.key							) if n.key == node.key else """|""" for n in forwards							)							)
																			lines.append(""" """ * label_size + """| """ * len(snake_case							)							)
																			A__						:  str		  =  node.forward

													lines.append("""None""".ljust(snake_case							) + """* """ * len(snake_case							)							)
													return F'SkipList(level={self.level})\n' + "\n".join(snake_case							)


							def __iter__(			self      :						Union[str, Any]							):
													'''simple docstring'''





													A__						:  Any		  =  self.head

													while len(node.forward							) != 0:
																			yield node.forward[0].key
																			A__						:  Optional[int]		  =  node.forward[0]


							def 						_UpperCamelCase       (			self      :						Optional[int]							):
													'''simple docstring'''





													A__						:  Union[str, Any]		  =  1
													while random() < self.p and level < self.max_level:
																			level += 1

													return level


							def 						_UpperCamelCase       (			self      :						Optional[Any]			,    snake_case      :						int							):
													'''simple docstring'''





													A__						:  Tuple		  =  []

													A__						:  Tuple		  =  self.head

													for i in reversed(range(self.level							)							):
																			# i < node.level - When node level is lesser than `i` decrement `i`.
																			# node.forward[i].key < key - Jumping to node with key value higher
																			#                             or equal to searched key would result
																			#                             in skipping searched key.
																			while i < node.level and node.forward[i].key < key:
																									A__						:  Any		  =  node.forward[i]
																			# Each leftmost node (relative to searched node) will potentially have to
																			# be updated.
																			update_vector.append(snake_case							)

													update_vector.reverse()  # Note that we were inserting values in reverse order.

													# len(node.forward) != 0 - If current node doesn't contain any further
													#                          references then searched key is not present.
													# node.forward[0].key == key - Next node key should be equal to search key
													#                              if key is present.
													if len(node.forward							) != 0 and node.forward[0].key == key:
																			return node.forward[0], update_vector
													else:
																			return None, update_vector


							def 						_UpperCamelCase       (			self      :						Optional[int]			,    snake_case      :						KT							):
													'''simple docstring'''





													A__						:  int		  =  self._locate_node(snake_case							)

													if node is not None:
																			for i, update_node in enumerate(snake_case							):
																									# Remove or replace all references to removed node.
																									if update_node.level > i and update_node.forward[i].key == key:
																															if node.level > i:
																																					A__						:  Any		  =  node.forward[i]
																															else:
																																					A__						:  Union[str, Any]		  =  update_node.forward[:i]


							def 						_UpperCamelCase       (			self      :						Optional[Any]			,    snake_case      :						KT			,    snake_case      :						VT							):
													'''simple docstring'''





													A__						:  Any		  =  self._locate_node(snake_case							)
													if node is not None:
																			A__						:  Union[str, Any]		  =  value
													else:
																			A__						:  Any		  =  self.random_level()

																			if level > self.level:
																									# After level increase we have to add additional nodes to head.
																									for _ in range(self.level - 1			,    snake_case							):
																															update_vector.append(self.head							)
																									A__						:  str		  =  level

																			A__						:  List[Any]		  =  Node(snake_case			,    snake_case							)

																			for i, update_node in enumerate(update_vector[:level]							):
																									# Change references to pass through new node.
																									if update_node.level > i:
																															new_node.forward.append(update_node.forward[i]							)

																									if update_node.level < i + 1:
																															update_node.forward.append(snake_case							)
																									else:
																															A__						:  Union[str, Any]		  =  new_node


							def 						_UpperCamelCase       (			self      :						Optional[int]			,    snake_case      :						VT							):
													'''simple docstring'''





													A__						:  Optional[int]		  =  self._locate_node(snake_case							)

													if node is not None:
																			return node.value

													return None




def      _lowerCAmelCase		(							)		->Union[str, Any]:
						A__						:  Union[str, Any]		  =  SkipList()
						skip_list.insert("""Key1""",						3      )
						skip_list.insert("""Key2""",						1_2      )
						skip_list.insert("""Key3""",						4_1      )
						skip_list.insert("""Key4""",						-1_9      )

						A__						:  Optional[Any]		  =  skip_list.head
						A__						:  Optional[int]		  =  {}
						while node.level != 0:
												A__						:  int		  =  node.forward[0]
												A__						:  str		  =  node.value

						assert len(UpperCAmelCase__      ) == 4
						assert all_values["Key1"] == 3
						assert all_values["Key2"] == 1_2
						assert all_values["Key3"] == 4_1
						assert all_values["Key4"] == -1_9




def      _lowerCAmelCase		(							)		->Optional[Any]:
						A__						:  Optional[int]		  =  SkipList()
						skip_list.insert("""Key1""",						1_0      )
						skip_list.insert("""Key1""",						1_2      )

						skip_list.insert("""Key5""",						7      )
						skip_list.insert("""Key7""",						1_0      )
						skip_list.insert("""Key10""",						5      )

						skip_list.insert("""Key7""",						7      )
						skip_list.insert("""Key5""",						5      )
						skip_list.insert("""Key10""",						1_0      )

						A__						:  List[str]		  =  skip_list.head
						A__						:  int		  =  {}
						while node.level != 0:
												A__						:  Tuple		  =  node.forward[0]
												A__						:  List[Any]		  =  node.value

						if len(UpperCAmelCase__      ) != 4:
												print()
						assert len(UpperCAmelCase__      ) == 4
						assert all_values["Key1"] == 1_2
						assert all_values["Key7"] == 7
						assert all_values["Key5"] == 5
						assert all_values["Key10"] == 1_0




def      _lowerCAmelCase		(							)		->Union[str, Any]:
						A__						:  Optional[Any]		  =  SkipList()
						assert skip_list.find("""Some key"""      ) is None




def      _lowerCAmelCase		(							)		->Union[str, Any]:
						A__						:  Union[str, Any]		  =  SkipList()

						skip_list.insert("""Key2""",						2_0      )
						assert skip_list.find("""Key2"""      ) == 2_0

						skip_list.insert("""Some Key""",						1_0      )
						skip_list.insert("""Key2""",						8      )
						skip_list.insert("""V""",						1_3      )

						assert skip_list.find("""Y"""      ) is None
						assert skip_list.find("""Key2"""      ) == 8
						assert skip_list.find("""Some Key"""      ) == 1_0
						assert skip_list.find("""V"""      ) == 1_3




def      _lowerCAmelCase		(							)		->Optional[Any]:
						A__						:  int		  =  SkipList()
						skip_list.delete("""Some key"""      )

						assert len(skip_list.head.forward      ) == 0




def      _lowerCAmelCase		(							)		->Dict:
						A__						:  List[Any]		  =  SkipList()

						skip_list.insert("""Key1""",						1_2      )
						skip_list.insert("""V""",						1_3      )
						skip_list.insert("""X""",						1_4      )
						skip_list.insert("""Key2""",						1_5      )

						skip_list.delete("""V"""      )
						skip_list.delete("""Key2"""      )

						assert skip_list.find("""V"""      ) is None
						assert skip_list.find("""Key2"""      ) is None




def      _lowerCAmelCase		(							)		->Optional[Any]:
						A__						:  str		  =  SkipList()

						skip_list.insert("""Key1""",						1_2      )
						skip_list.insert("""V""",						1_3      )
						skip_list.insert("""X""",						1_4      )
						skip_list.insert("""Key2""",						1_5      )

						skip_list.delete("""V"""      )
						assert skip_list.find("""V"""      ) is None
						assert skip_list.find("""X"""      ) == 1_4
						assert skip_list.find("""Key1"""      ) == 1_2
						assert skip_list.find("""Key2"""      ) == 1_5

						skip_list.delete("""X"""      )
						assert skip_list.find("""V"""      ) is None
						assert skip_list.find("""X"""      ) is None
						assert skip_list.find("""Key1"""      ) == 1_2
						assert skip_list.find("""Key2"""      ) == 1_5

						skip_list.delete("""Key1"""      )
						assert skip_list.find("""V"""      ) is None
						assert skip_list.find("""X"""      ) is None
						assert skip_list.find("""Key1"""      ) is None
						assert skip_list.find("""Key2"""      ) == 1_5

						skip_list.delete("""Key2"""      )
						assert skip_list.find("""V"""      ) is None
						assert skip_list.find("""X"""      ) is None
						assert skip_list.find("""Key1"""      ) is None
						assert skip_list.find("""Key2"""      ) is None




def      _lowerCAmelCase		(							)		->str:
						A__						:  List[Any]		  =  SkipList()

						skip_list.insert("""Key1""",						1_2      )
						skip_list.insert("""V""",						1_3      )
						skip_list.insert("""X""",						1_4_2      )
						skip_list.insert("""Key2""",						1_5      )

						skip_list.delete("""X"""      )

						def traverse_keys(UpperCAmelCase__       :					Any      ):
												yield node.key
												for forward_node in node.forward:
																		yield from traverse_keys(UpperCAmelCase__      )

						assert len(set(traverse_keys(skip_list.head      )      )      ) == 4




def      _lowerCAmelCase		(							)		->List[str]:
						def is_sorted(UpperCAmelCase__       :					Tuple      ):
												return all(next_item >= item for item, next_item in zip(UpperCAmelCase__,						lst[1:]      )      )

						A__						:  Dict		  =  SkipList()
						for i in range(1_0      ):
												skip_list.insert(UpperCAmelCase__,						UpperCAmelCase__      )
						assert is_sorted(list(UpperCAmelCase__      )      )
						skip_list.delete(5      )
						skip_list.delete(8      )
						skip_list.delete(2      )
						assert is_sorted(list(UpperCAmelCase__      )      )
						skip_list.insert(-1_2,						-1_2      )
						skip_list.insert(7_7,						7_7      )
						assert is_sorted(list(UpperCAmelCase__      )      )




def      _lowerCAmelCase		(							)		->int:
						for _ in range(1_0_0      ):
												# Repeat test 100 times due to the probabilistic nature of skip list
												# random values == random bugs
												test_insert()
												test_insert_overrides_existing_value()

												test_searching_empty_list_returns_none()
												test_search()

												test_deleting_item_from_empty_list_do_nothing()
												test_deleted_items_are_not_founded_by_find_method()
												test_delete_removes_only_given_key()
												test_delete_doesnt_leave_dead_nodes()

												test_iter_always_yields_sorted_values()




def      _lowerCAmelCase		(							)		->Dict:
						A__						:  List[str]		  =  SkipList()
						skip_list.insert(2,						"""2"""      )
						skip_list.insert(4,						"""4"""      )
						skip_list.insert(6,						"""4"""      )
						skip_list.insert(4,						"""5"""      )
						skip_list.insert(8,						"""4"""      )
						skip_list.insert(9,						"""4"""      )

						skip_list.delete(4      )

						print(UpperCAmelCase__      )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()







"""simple docstring"""



from typing import List, Optional, Tuple, Union

import torch

from ...models import UNetaDModel
from ...schedulers import KarrasVeScheduler
from ...utils import randn_tensor
from ..pipeline_utils import DiffusionPipeline, ImagePipelineOutput






class 							__SCREAMING_SNAKE_CASE						(				UpperCamelCase		):
							snake_case_     =							42
							snake_case_     =							42


							def __init__(			self      :						Union[str, Any]			,    snake_case      :						UNetaDModel			,    snake_case      :						KarrasVeScheduler							):
													'''simple docstring'''





													super().__init__()
													self.register_modules(unet=snake_case			,    scheduler=snake_case							)


							@torch.no_grad()
							def __call__(			self      :						Any			,    snake_case      :						int = 1			,    snake_case      :						int = 50			,    snake_case      :						Optional[Union[torch.Generator, List[torch.Generator]]] = None			,    snake_case      :						Optional[str] = "pil"			,    snake_case      :						bool = True			,    **snake_case      :						Dict			,    ):
													'''simple docstring'''





													A__						:  Optional[int]		  =  self.unet.config.sample_size
													A__						:  Dict		  =  (batch_size, 3, img_size, img_size)

													A__						:  Tuple		  =  self.unet

													# sample x_0 ~ N(0, sigma_0^2 * I)
													A__						:  Union[str, Any]		  =  randn_tensor(snake_case			,    generator=snake_case			,    device=self.device							) * self.scheduler.init_noise_sigma

													self.scheduler.set_timesteps(snake_case							)

													for t in self.progress_bar(self.scheduler.timesteps							):
																			# here sigma_t == t_i from the paper
																			A__						:  Optional[Any]		  =  self.scheduler.schedule[t]
																			A__						:  Union[str, Any]		  =  self.scheduler.schedule[t - 1] if t > 0 else 0

																			# 1. Select temporarily increased noise level sigma_hat
																			# 2. Add new noise to move from sample_i to sample_hat
																			A__  ,  A__						:  Dict		  =  self.scheduler.add_noise_to_input(snake_case			,    snake_case			,    generator=snake_case							)

																			# 3. Predict the noise residual given the noise magnitude `sigma_hat`
																			# The model inputs and output are adjusted by following eq. (213) in [1].
																			A__						:  int		  =  (sigma_hat / 2) * model((sample_hat + 1) / 2			,    sigma_hat / 2							).sample

																			# 4. Evaluate dx/dt at sigma_hat
																			# 5. Take Euler step from sigma to sigma_prev
																			A__						:  Tuple		  =  self.scheduler.step(snake_case			,    snake_case			,    snake_case			,    snake_case							)

																			if sigma_prev != 0:
																									# 6. Apply 2nd order correction
																									# The model inputs and output are adjusted by following eq. (213) in [1].
																									A__						:  Dict		  =  (sigma_prev / 2) * model((step_output.prev_sample + 1) / 2			,    sigma_prev / 2							).sample
																									A__						:  Tuple		  =  self.scheduler.step_correct(
																									    snake_case			,    snake_case			,    snake_case			,    snake_case			,    step_output.prev_sample			,    step_output["""derivative"""]			,    )
																			A__						:  Tuple		  =  step_output.prev_sample

													A__						:  Dict		  =  (sample / 2 + 0.5).clamp(0			,    1							)
													A__						:  Dict		  =  sample.cpu().permute(0			,    2			,    3			,    1							).numpy()
													if output_type == "pil":
																			A__						:  Optional[Any]		  =  self.numpy_to_pil(snake_case							)

													if not return_dict:
																			return (image,)

													return ImagePipelineOutput(images=snake_case							)






