

from __future__ import annotations

from collections.abc import MutableSequence






class  UpperCAmelCase__	:






  """simple docstring"""


  def __init__(							self		:	Tuple			,     __lowerCamelCase		:	Union[str, Any]			,     __lowerCamelCase		:	List[str]      )	->							None:
       if len(lowerCamelCase_      ) != degree + 1:
            raise ValueError(
                '''The number of coefficients should be equal to the degree + 1.'''      )

       SCREAMING_SNAKE_CASE__					=					list(lowerCamelCase_      )
       SCREAMING_SNAKE_CASE__					=					degree






  def __add__(							self		:	Optional[int]			,     __lowerCamelCase		:	Tuple      )	->							Polynomial:

       if self.degree > polynomial_a.degree:
            SCREAMING_SNAKE_CASE__					=					self.coefficients[:]
            for i in range(polynomial_a.degree + 1      ):
                 coefficients[i] += polynomial_a.coefficients[i]
            return Polynomial(self.degree			,     lowerCamelCase_      )
       else:
            SCREAMING_SNAKE_CASE__					=					polynomial_a.coefficients[:]
            for i in range(self.degree + 1      ):
                 coefficients[i] += self.coefficients[i]
            return Polynomial(polynomial_a.degree			,     lowerCamelCase_      )






  def __sub__(							self		:	Optional[Any]			,     __lowerCamelCase		:	str      )	->							Polynomial:
       return self + polynomial_a * Polynomial(0			,     [-1]      )






  def __neg__(							self		:	Tuple      )	->							Polynomial:
       return Polynomial(self.degree			,     [-c for c in self.coefficients]      )






  def __mul__(							self		:	int			,     __lowerCamelCase		:	str      )	->							Polynomial:
       SCREAMING_SNAKE_CASE__					=					[0] * (self.degree + polynomial_a.degree + 1)
       for i in range(self.degree + 1      ):
            for j in range(polynomial_a.degree + 1      ):
                 coefficients[i + j] += (
                     self.coefficients[i] * polynomial_a.coefficients[j]
                 )

       return Polynomial(self.degree + polynomial_a.degree			,     lowerCamelCase_      )






  def    lowercase_	(							self		:	Optional[int]			,     __lowerCamelCase		:	Union[str, Any]      )	->							int | float:
       SCREAMING_SNAKE_CASE__					=					0
       for i in range(self.degree + 1      ):
            result += self.coefficients[i] * (substitution**i)
       return result






  def __str__(							self		:	str      )	->							str:
       SCREAMING_SNAKE_CASE__					=					''''''
       for i in range(self.degree			,     -1			,     -1      ):
            if self.coefficients[i] == 0:
                 continue
            elif self.coefficients[i] > 0:
                 if polynomial:
                      polynomial += " + "
            else:
                 polynomial += " - "

            if i == 0:
                 polynomial += str(abs(self.coefficients[i]      )      )
            elif i == 1:
                 polynomial += str(abs(self.coefficients[i]      )      ) + "x"
            else:
                 polynomial += str(abs(self.coefficients[i]      )      ) + "x^" + str(lowerCamelCase_      )

       return polynomial






  def __repr__(							self		:	List[str]      )	->							str:
       return self.__str__()






  def    lowercase_	(							self		:	Tuple      )	->							Polynomial:
       SCREAMING_SNAKE_CASE__					=					[0] * self.degree
       for i in range(self.degree      ):
            SCREAMING_SNAKE_CASE__					=					self.coefficients[i + 1] * (i + 1)
       return Polynomial(self.degree - 1			,     lowerCamelCase_      )






  def    lowercase_	(							self		:	Tuple			,     __lowerCamelCase		:	str = 0      )	->							Polynomial:
       SCREAMING_SNAKE_CASE__					=					[0] * (self.degree + 2)
       SCREAMING_SNAKE_CASE__					=					constant
       for i in range(self.degree + 1      ):
            SCREAMING_SNAKE_CASE__					=					self.coefficients[i] / (i + 1)
       return Polynomial(self.degree + 1			,     lowerCamelCase_      )






  def __eq__(							self		:	Tuple			,     __lowerCamelCase		:	Optional[Any]      )	->							bool:
       if not isinstance(lowerCamelCase_			,     lowerCamelCase_      ):
            return False

       if self.degree != polynomial_a.degree:
            return False

       for i in range(self.degree + 1      ):
            if self.coefficients[i] != polynomial_a.coefficients[i]:
                 return False

       return True







  def __ne__(							self		:	str			,     __lowerCamelCase		:	Optional[Any]      )	->							bool:
       return not self.__eq__(lowerCamelCase_      )





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        UpperCAmelCase_     (		_A   ,	_A   ,	_A=[]       ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					size[0] - overlap_pixels * 2
     SCREAMING_SNAKE_CASE__					=					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
     SCREAMING_SNAKE_CASE__					=					np.ones((size_y, size_x)   ,	dtype=np.uinta       ) * 2_55
     SCREAMING_SNAKE_CASE__					=					np.pad(_A   ,	mode='''linear_ramp'''   ,	pad_width=_A   ,	end_values=0       )

     if "l" in remove_borders:
          SCREAMING_SNAKE_CASE__					=					mask[:, overlap_pixels : mask.shape[1]]
     if "r" in remove_borders:
          SCREAMING_SNAKE_CASE__					=					mask[:, 0 : mask.shape[1] - overlap_pixels]
     if "t" in remove_borders:
          SCREAMING_SNAKE_CASE__					=					mask[overlap_pixels : mask.shape[0], :]
     if "b" in remove_borders:
          SCREAMING_SNAKE_CASE__					=					mask[0 : mask.shape[0] - overlap_pixels, :]
     return mask
def        UpperCAmelCase_     (		_A   ,	_A   ,	_A       ):





     '''simple docstring'''




     return max(_A   ,	min(_A   ,	_A       )       )
def        UpperCAmelCase_     (		_A   ,	_A   ,	_A       ):





     '''simple docstring'''




     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        UpperCAmelCase_     (		_A   ,	_A   ,	_A       ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					list(_A       )
     rect[0] -= overlap
     rect[1] -= overlap
     rect[2] += overlap
     rect[3] += overlap
     SCREAMING_SNAKE_CASE__					=					clamp_rect(_A   ,	[0, 0]   ,	[image_size[0], image_size[1]]       )
     return rect
def        UpperCAmelCase_     (		_A   ,	_A   ,	_A   ,	_A       ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					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        UpperCAmelCase_     (		_A   ,	_A       ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					(original_image_slice * 4, 0, tile.size[0], tile.size[1])
     SCREAMING_SNAKE_CASE__					=					tile.crop(_A       )
     return tile
def        UpperCAmelCase_     (		_A   ,	_A       ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					n % d
     return n - divisor






class  UpperCAmelCase__	( A__ ):






  """simple docstring"""


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






  def    lowercase_	(							self		:	Tuple			,     __lowerCamelCase		:	Optional[int]			,     __lowerCamelCase		:	Tuple			,     __lowerCamelCase		:	Any			,     __lowerCamelCase		:	List[Any]			,     __lowerCamelCase		:	str			,     __lowerCamelCase		:	List[str]			,     __lowerCamelCase		:	str			,     **__lowerCamelCase		:	Tuple      )	->							Dict:
       torch.manual_seed(0      )
       SCREAMING_SNAKE_CASE__					=					(
           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      ),
       )
       SCREAMING_SNAKE_CASE__					=					add_overlap_rect(__lowerCamelCase			,     __lowerCamelCase			,     image.size      )
       SCREAMING_SNAKE_CASE__					=					image.crop(__lowerCamelCase      )
       SCREAMING_SNAKE_CASE__					=					((crop_rect[0] + ((crop_rect[2] - crop_rect[0]) / 2)) / image.size[0]) * tile.size[0]
       SCREAMING_SNAKE_CASE__					=					translated_slice_x - (original_image_slice / 2)
       SCREAMING_SNAKE_CASE__					=					max(0			,     __lowerCamelCase      )
       SCREAMING_SNAKE_CASE__					=					squeeze_tile(__lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase			,     __lowerCamelCase      )
       SCREAMING_SNAKE_CASE__					=					to_input.size
       SCREAMING_SNAKE_CASE__					=					to_input.resize((tile_size, tile_size)			,     Image.BICUBIC      )
       SCREAMING_SNAKE_CASE__					=					super(__lowerCamelCase			,     self      ).__call__(image=__lowerCamelCase			,     **__lowerCamelCase      ).images[0]
       SCREAMING_SNAKE_CASE__					=					upscaled_tile.resize((orig_input_size[0] * 4, orig_input_size[1] * 4)			,     Image.BICUBIC      )
       SCREAMING_SNAKE_CASE__					=					unsqueeze_tile(__lowerCamelCase			,     __lowerCamelCase      )
       SCREAMING_SNAKE_CASE__					=					upscaled_tile.resize((tile.size[0] * 4, tile.size[1] * 4)			,     Image.BICUBIC      )
       SCREAMING_SNAKE_CASE__					=					[]
       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'''      )
       SCREAMING_SNAKE_CASE__					=					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		:	List[str]			,     __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			,     )	->							List[Any]:
       SCREAMING_SNAKE_CASE__					=					Image.new('''RGB'''			,     (image.size[0] * 4, image.size[1] * 4)      )
       SCREAMING_SNAKE_CASE__					=					math.ceil(image.size[0] / tile_size      )
       SCREAMING_SNAKE_CASE__					=					math.ceil(image.size[1] / tile_size      )
       SCREAMING_SNAKE_CASE__					=					tcx * tcy
       SCREAMING_SNAKE_CASE__					=					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        UpperCAmelCase_     (		):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__					=					'''stabilityai/stable-diffusion-x4-upscaler'''
     SCREAMING_SNAKE_CASE__					=					StableDiffusionTiledUpscalePipeline.from_pretrained(_A   ,	revision='''fp16'''   ,	torch_dtype=torch.floataa       )
     SCREAMING_SNAKE_CASE__					=					pipe.to('''cuda'''       )
     SCREAMING_SNAKE_CASE__					=					Image.open('''../../docs/source/imgs/diffusers_library.jpg'''       )

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

     SCREAMING_SNAKE_CASE__					=					pipe(image=_A   ,	prompt='''Black font, white background, vector'''   ,	noise_level=40   ,	callback=_A       )
     final_image.save('''diffusers_library.jpg'''       )


if __name__ == "__main__":
       main()


