






class     UpperCamelCase_ :





	def __init__(   self      :				str		)		->    Optional[Any]:
				UpperCAmelCase_  :				str      =      0
				UpperCAmelCase_  :				Tuple      =      0
				UpperCAmelCase_  :				Optional[Any]      =      {}





	def   _SCREAMING_SNAKE_CASE   (   self      :				Tuple			,			lowerCAmelCase_      :				Union[str, Any]		)		->    Union[str, Any]:
				if vertex not in self.adjacency:
							UpperCAmelCase_  :				str      =      {}
							self.num_vertices += 1





	def   _SCREAMING_SNAKE_CASE   (   self      :				Any			,			lowerCAmelCase_      :				Any			,			lowerCAmelCase_      :				List[str]			,			lowerCAmelCase_      :				List[str]		)		->    Tuple:
				self.add_vertex(lowerCAmelCase_		)
				self.add_vertex(lowerCAmelCase_		)

				if head == tail:
							return

				UpperCAmelCase_  :				str      =      weight
				UpperCAmelCase_  :				Union[str, Any]      =      weight





	def   _SCREAMING_SNAKE_CASE   (   self      :				Dict		)		->    Union[str, Any]:
				UpperCAmelCase_  :				List[str]      =      self.get_edges()
				for edge in edges:
							UpperCAmelCase_  :				Dict      =      edge
							edges.remove((tail, head, weight)		)
				for i in range(len(lowerCAmelCase_		)		):
							UpperCAmelCase_  :				List[Any]      =      list(edges[i]		)

				edges.sort(key=lambda lowerCAmelCase_		: e[2]		)
				for i in range(len(lowerCAmelCase_		) - 1		):
							if edges[i][2] >= edges[i + 1][2]:
										UpperCAmelCase_  :				List[Any]      =      edges[i][2] + 1
				for edge in edges:
							UpperCAmelCase_  :				Union[str, Any]      =      edge
							UpperCAmelCase_  :				Optional[int]      =      weight
							UpperCAmelCase_  :				List[str]      =      weight





	def __str__(   self      :				List[str]		)		->    Dict:
				UpperCAmelCase_  :				Optional[int]      =      ""
				for tail in self.adjacency:
							for head in self.adjacency[tail]:
										UpperCAmelCase_  :				Optional[Any]      =      self.adjacency[head][tail]
										string += f"""{head} -> {tail} == {weight}\n"""
				return string.rstrip("\n"		)





	def   _SCREAMING_SNAKE_CASE   (   self      :				int		)		->    Optional[Any]:
				UpperCAmelCase_  :				str      =      []
				for tail in self.adjacency:
							for head in self.adjacency[tail]:
										output.append((tail, head, self.adjacency[head][tail])		)
				return output





	def   _SCREAMING_SNAKE_CASE   (   self      :				Union[str, Any]		)		->    Union[str, Any]:
				return self.adjacency.keys()





	@staticmethod
	def   _SCREAMING_SNAKE_CASE   (   lowerCAmelCase_      :				Any=None			,			lowerCAmelCase_      :				Tuple=None		)		->    Union[str, Any]:
				UpperCAmelCase_  :				List[str]      =      Graph()
				if vertices is None:
							UpperCAmelCase_  :				Optional[Any]      =      []
				if edges is None:
							UpperCAmelCase_  :				List[Any]      =      []
				for vertex in vertices:
							g.add_vertex(lowerCAmelCase_		)
				for edge in edges:
							g.add_edge(*lowerCAmelCase_		)
				return g







	class     UpperCamelCase_ :





		def __init__(   self      :				int		)		->    List[Any]:
					UpperCAmelCase_  :				Tuple      =      {}
					UpperCAmelCase_  :				List[str]      =      {}





		def __len__(   self      :				Optional[int]		)		->    List[str]:
					return len(self.parent		)





		def   _SCREAMING_SNAKE_CASE   (   self      :				str			,			lowerCAmelCase_      :				Any		)		->    str:
					if item in self.parent:
								return self.find(lowerCAmelCase_		)

					UpperCAmelCase_  :				List[str]      =      item
					UpperCAmelCase_  :				Dict      =      0
					return item





		def   _SCREAMING_SNAKE_CASE   (   self      :				int			,			lowerCAmelCase_      :				int		)		->    Dict:
					if item not in self.parent:
								return self.make_set(lowerCAmelCase_		)
					if item != self.parent[item]:
								UpperCAmelCase_  :				Optional[int]      =      self.find(self.parent[item]		)
					return self.parent[item]





		def   _SCREAMING_SNAKE_CASE   (   self      :				Tuple			,			lowerCAmelCase_      :				Tuple			,			lowerCAmelCase_      :				Optional[int]		)		->    List[Any]:
					UpperCAmelCase_  :				Union[str, Any]      =      self.find(lowerCAmelCase_		)
					UpperCAmelCase_  :				Any      =      self.find(lowerCAmelCase_		)

					if roota == roota:
								return roota

					if self.rank[roota] > self.rank[roota]:
								UpperCAmelCase_  :				Tuple      =      roota
								return roota

					if self.rank[roota] < self.rank[roota]:
								UpperCAmelCase_  :				List[Any]      =      roota
								return roota

					if self.rank[roota] == self.rank[roota]:
								self.rank[roota] += 1
								UpperCAmelCase_  :				Optional[Any]      =      roota
								return roota
					return None





	@staticmethod
	def   _SCREAMING_SNAKE_CASE   (   lowerCAmelCase_      :				Union[str, Any]		)		->    int:
				UpperCAmelCase_  :				Union[str, Any]      =      graph.num_vertices

				UpperCAmelCase_  :				Any      =      Graph.UnionFind()
				UpperCAmelCase_  :				int      =      []
				while num_components > 1:
							UpperCAmelCase_  :				Dict      =      {}
							for vertex in graph.get_vertices():
										UpperCAmelCase_  :				Dict      =      -1

							UpperCAmelCase_  :				Dict      =      graph.get_edges()
							for edge in edges:
										UpperCAmelCase_  :				List[Any]      =      edge
										edges.remove((tail, head, weight)		)
							for edge in edges:
										UpperCAmelCase_  :				Union[str, Any]      =      edge
										UpperCAmelCase_  :				Optional[Any]      =      union_find.find(lowerCAmelCase_		)
										UpperCAmelCase_  :				Dict      =      union_find.find(lowerCAmelCase_		)
										if seta != seta:
													if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
																UpperCAmelCase_  :				str      =      [head, tail, weight]

													if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
																UpperCAmelCase_  :				Optional[Any]      =      [head, tail, weight]
							for vertex in cheap_edge:
										if cheap_edge[vertex] != -1:
													UpperCAmelCase_  :				Tuple      =      cheap_edge[vertex]
													if union_find.find(lowerCAmelCase_		) != union_find.find(lowerCAmelCase_		):
																union_find.union(lowerCAmelCase_			,			lowerCAmelCase_		)
																mst_edges.append(cheap_edge[vertex]		)
																UpperCAmelCase_  :				List[Any]      =      num_components - 1
				UpperCAmelCase_  :				List[str]      =      Graph.build(edges=lowerCAmelCase_		)
				return mst











"""simple docstring"""
import math
from typing import Callable, List, Optional, Union

import numpy as np
import PIL
import torch
from PIL import Image
from transformers import CLIPTextModel, CLIPTokenizer

from diffusers.models import AutoencoderKL, UNetaDConditionModel
from diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion_upscale import StableDiffusionUpscalePipeline
from diffusers.schedulers import DDIMScheduler, DDPMScheduler, LMSDiscreteScheduler, PNDMScheduler

def        snake_case   (     A__			,A__			,A__=[]		):
			UpperCAmelCase_  :				int      =      size[0] - overlap_pixels * 2
			UpperCAmelCase_  :				Dict      =      size[1] - overlap_pixels * 2
			for letter in ["l", "r"]:
						if letter in remove_borders:
									size_x += overlap_pixels
			for letter in ["t", "b"]:
						if letter in remove_borders:
									size_y += overlap_pixels
			UpperCAmelCase_  :				Union[str, Any]      =      np.ones((size_y, size_x)			,dtype=np.uinta		) * 2_55
			UpperCAmelCase_  :				Optional[int]      =      np.pad(A__			,mode="linear_ramp"			,pad_width=A__			,end_values=0		)

			if "l" in remove_borders:
						UpperCAmelCase_  :				List[str]      =      mask[:, overlap_pixels : mask.shape[1]]
			if "r" in remove_borders:
						UpperCAmelCase_  :				Any      =      mask[:, 0 : mask.shape[1] - overlap_pixels]
			if "t" in remove_borders:
						UpperCAmelCase_  :				Optional[int]      =      mask[overlap_pixels : mask.shape[0], :]
			if "b" in remove_borders:
						UpperCAmelCase_  :				Any      =      mask[0 : mask.shape[0] - overlap_pixels, :]
			return mask

def        snake_case   (     A__			,A__			,A__		):
			return max(A__			,min(A__			,A__		)		)

def        snake_case   (     A__			,A__			,A__		):
			return (
			    clamp(rect[0]			,min[0]			,max[0]		),
			    clamp(rect[1]			,min[1]			,max[1]		),
			    clamp(rect[2]			,min[0]			,max[0]		),
			    clamp(rect[3]			,min[1]			,max[1]		),
			)

def        snake_case   (     A__			,A__			,A__		):
			UpperCAmelCase_  :				List[str]      =      list(A__		)
			rect[0] -= overlap
			rect[1] -= overlap
			rect[2] += overlap
			rect[3] += overlap
			UpperCAmelCase_  :				Optional[Any]      =      clamp_rect(A__			,[0, 0]			,[image_size[0], image_size[1]]		)
			return rect

def        snake_case   (     A__			,A__			,A__			,A__		):
			UpperCAmelCase_  :				Dict      =      Image.new("RGB"			,(tile.size[0] + original_slice, tile.size[1])		)
			result.paste(
			    original_image.resize((tile.size[0], tile.size[1])			,Image.BICUBIC		).crop(
			        (slice_x, 0, slice_x + original_slice, tile.size[1])		)			,(0, 0)			,)
			result.paste(A__			,(original_slice, 0)		)
			return result

def        snake_case   (     A__			,A__		):
			UpperCAmelCase_  :				Optional[int]      =      (original_image_slice * 4, 0, tile.size[0], tile.size[1])
			UpperCAmelCase_  :				Optional[int]      =      tile.crop(A__		)
			return tile

def        snake_case   (     A__			,A__		):
			UpperCAmelCase_  :				List[str]      =      n % d
			return n - divisor







class     UpperCamelCase_ (__A  ):





	def __init__(   self      :				List[str]			,			lowerCAmelCase_      :				AutoencoderKL			,			lowerCAmelCase_      :				CLIPTextModel			,			lowerCAmelCase_      :				CLIPTokenizer			,			lowerCAmelCase_      :				UNetaDConditionModel			,			lowerCAmelCase_      :				DDPMScheduler			,			lowerCAmelCase_      :				Union[DDIMScheduler, PNDMScheduler, LMSDiscreteScheduler]			,			lowerCAmelCase_      :				int = 350			,			)		->    Optional[Any]:
				super().__init__(
				    vae=lowerCAmelCase_			,			text_encoder=lowerCAmelCase_			,			tokenizer=lowerCAmelCase_			,			unet=lowerCAmelCase_			,			low_res_scheduler=lowerCAmelCase_			,			scheduler=lowerCAmelCase_			,			max_noise_level=lowerCAmelCase_			,			)





	def   _SCREAMING_SNAKE_CASE   (   self      :				str			,			lowerCAmelCase_      :				Union[str, Any]			,			lowerCAmelCase_      :				Any			,			lowerCAmelCase_      :				Tuple			,			lowerCAmelCase_      :				Any			,			lowerCAmelCase_      :				int			,			lowerCAmelCase_      :				int			,			lowerCAmelCase_      :				Any			,			**lowerCAmelCase_      :				List[str]		)		->    Dict:
				torch.manual_seed(0		)
				UpperCAmelCase_  :				Optional[Any]      =      (
				    min(image.size[0] - (tile_size + original_image_slice)			,			x * tile_size		),
				    min(image.size[1] - (tile_size + original_image_slice)			,			y * tile_size		),
				    min(image.size[0]			,			(x + 1) * tile_size		),
				    min(image.size[1]			,			(y + 1) * tile_size		),
				)
				UpperCAmelCase_  :				Dict      =      add_overlap_rect(lowerCAmelCase_			,			lowerCAmelCase_			,			image.size		)
				UpperCAmelCase_  :				Tuple      =      image.crop(lowerCAmelCase_		)
				UpperCAmelCase_  :				Any      =      ((crop_rect[0] + ((crop_rect[2] - crop_rect[0]) / 2)) / image.size[0]) * tile.size[0]
				UpperCAmelCase_  :				int      =      translated_slice_x - (original_image_slice / 2)
				UpperCAmelCase_  :				Any      =      max(0			,			lowerCAmelCase_		)
				UpperCAmelCase_  :				Optional[Any]      =      squeeze_tile(lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_		)
				UpperCAmelCase_  :				Any      =      to_input.size
				UpperCAmelCase_  :				Optional[int]      =      to_input.resize((tile_size, tile_size)			,			Image.BICUBIC		)
				UpperCAmelCase_  :				Optional[Any]      =      super(lowerCAmelCase_			,			self		).__call__(image=lowerCAmelCase_			,			**lowerCAmelCase_		).images[0]
				UpperCAmelCase_  :				Union[str, Any]      =      upscaled_tile.resize((orig_input_size[0] * 4, orig_input_size[1] * 4)			,			Image.BICUBIC		)
				UpperCAmelCase_  :				List[Any]      =      unsqueeze_tile(lowerCAmelCase_			,			lowerCAmelCase_		)
				UpperCAmelCase_  :				List[str]      =      upscaled_tile.resize((tile.size[0] * 4, tile.size[1] * 4)			,			Image.BICUBIC		)
				UpperCAmelCase_  :				List[Any]      =      []
				if x == 0:
							remove_borders.append("l"		)
				elif crop_rect[2] == image.size[0]:
							remove_borders.append("r"		)
				if y == 0:
							remove_borders.append("t"		)
				elif crop_rect[3] == image.size[1]:
							remove_borders.append("b"		)
				UpperCAmelCase_  :				str      =      Image.fromarray(
				    make_transparency_mask(
				        (upscaled_tile.size[0], upscaled_tile.size[1])			,			tile_border * 4			,			remove_borders=lowerCAmelCase_		)			,			mode="L"			,			)
				final_image.paste(
				    lowerCAmelCase_			,			(crop_rect_with_overlap[0] * 4, crop_rect_with_overlap[1] * 4)			,			lowerCAmelCase_		)





	@torch.no_grad()
	def __call__(   self      :				int			,			lowerCAmelCase_      :				Union[str, List[str]]			,			lowerCAmelCase_      :				Union[PIL.Image.Image, List[PIL.Image.Image]]			,			lowerCAmelCase_      :				int = 75			,			lowerCAmelCase_      :				float = 9.0			,			lowerCAmelCase_      :				int = 50			,			lowerCAmelCase_      :				Optional[Union[str, List[str]]] = None			,			lowerCAmelCase_      :				Optional[int] = 1			,			lowerCAmelCase_      :				float = 0.0			,			lowerCAmelCase_      :				Optional[torch.Generator] = None			,			lowerCAmelCase_      :				Optional[torch.FloatTensor] = None			,			lowerCAmelCase_      :				Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,			lowerCAmelCase_      :				int = 1			,			lowerCAmelCase_      :				int = 128			,			lowerCAmelCase_      :				int = 32			,			lowerCAmelCase_      :				int = 32			,			)		->    int:
				UpperCAmelCase_  :				List[Any]      =      Image.new("RGB"			,			(image.size[0] * 4, image.size[1] * 4)		)
				UpperCAmelCase_  :				Any      =      math.ceil(image.size[0] / tile_size		)
				UpperCAmelCase_  :				str      =      math.ceil(image.size[1] / tile_size		)
				UpperCAmelCase_  :				Any      =      tcx * tcy
				UpperCAmelCase_  :				List[Any]      =      0
				for y in range(lowerCAmelCase_		):
							for x in range(lowerCAmelCase_		):
										self._process_tile(
										    lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			lowerCAmelCase_			,			prompt=lowerCAmelCase_			,			num_inference_steps=lowerCAmelCase_			,			guidance_scale=lowerCAmelCase_			,			noise_level=lowerCAmelCase_			,			negative_prompt=lowerCAmelCase_			,			num_images_per_prompt=lowerCAmelCase_			,			eta=lowerCAmelCase_			,			generator=lowerCAmelCase_			,			latents=lowerCAmelCase_			,			)
										current_count += 1
										if callback is not None:
													callback({"progress": current_count / total_tile_count, "image": final_image}		)
				return final_image





def        snake_case   (     ):
			# Run a demo
			UpperCAmelCase_  :				List[str]      =      "stabilityai/stable-diffusion-x4-upscaler"
			UpperCAmelCase_  :				Optional[Any]      =      StableDiffusionTiledUpscalePipeline.from_pretrained(A__			,revision="fp16"			,torch_dtype=torch.floataa		)
			UpperCAmelCase_  :				Optional[int]      =      pipe.to("cuda"		)
			UpperCAmelCase_  :				Tuple      =      Image.open("../../docs/source/imgs/diffusers_library.jpg"		)

			def callback(A__		):
						print(F"""progress: {obj['progress']:.4f}"""		)
						obj["image"].save("diffusers_library_progress.jpg"		)

			UpperCAmelCase_  :				Union[str, Any]      =      pipe(image=A__			,prompt="Black font, white background, vector"			,noise_level=40			,callback=A__		)
			final_image.save("diffusers_library.jpg"		)


if __name__ == "__main__":
			main()



