'''simple docstring'''


def    _lowerCamelCase       ( lowerCamelCase_   :				int      ,	lowerCamelCase_   :				int = 1000  ):



     """simple docstring"""





     if (not isinstance(lowerCamelCase_      ,	lowerCamelCase_  )) or (digit_position <= 0):
          raise ValueError('Digit position must be a positive integer'  )
     elif (not isinstance(lowerCamelCase_      ,	lowerCamelCase_  )) or (precision < 0):
          raise ValueError('Precision must be a nonnegative integer'  )

     # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
     # accurate
     UpperCAmelCase_				:  Tuple  = (
         4 * _subsum(lowerCamelCase_      ,	1      ,	lowerCamelCase_  )
         - 2 * _subsum(lowerCamelCase_      ,	4      ,	lowerCamelCase_  )
         - _subsum(lowerCamelCase_      ,	5      ,	lowerCamelCase_  )
         - _subsum(lowerCamelCase_      ,	6      ,	lowerCamelCase_  )
     )

     # return the first hex digit of the fractional part of the result
     return hex(int((sum_result % 1) * 16  )  )[2:]


def    _lowerCamelCase       ( lowerCamelCase_   :				int      ,	lowerCamelCase_   :				int      ,	lowerCamelCase_   :				int  ):



     """simple docstring"""





     UpperCAmelCase_				:  Tuple  = 0.0
     for sum_index in range(digit_pos_to_extract + precision  ):
          UpperCAmelCase_				:  List[str]  = 8 * sum_index + denominator_addend
          if sum_index < digit_pos_to_extract:
               # if the exponential term is an integer and we mod it by the denominator
               # before dividing, only the integer part of the sum will change;
               # the fractional part will not
               UpperCAmelCase_				:  Any  = pow(
                   16      ,	digit_pos_to_extract - 1 - sum_index      ,	lowerCamelCase_  )
          else:
               UpperCAmelCase_				:  Optional[int]  = pow(16      ,	digit_pos_to_extract - 1 - sum_index  )
          total += exponential_term / denominator
     return total


if __name__ == "__main__":
 import doctest

 doctest.testmod()







'''simple docstring'''
import random
import unittest

import numpy as np
import torch

from diffusers import DDIMScheduler, LDMSuperResolutionPipeline, UNetaDModel, VQModel
from diffusers.utils import PIL_INTERPOLATION, floats_tensor, load_image, slow, torch_device
from diffusers.utils.testing_utils import enable_full_determinism, require_torch


enable_full_determinism()






class       __lowercase		(    unittest.TestCase    ):







     """simple docstring"""






     @property
     def lowerCAmelCase  (		self     ):
         __UpperCamelCase						:						Dict		     =	1
         __UpperCamelCase						:						Union[str, Any]		     =	3
         __UpperCamelCase						:						Tuple		     =	(3_2, 3_2)

         __UpperCamelCase						:						List[Any]		     =	floats_tensor((batch_size, num_channels) + sizes  ,      rng=random.Random(0     )     ).to(_lowerCamelCase     )
         return image







     @property
     def lowerCAmelCase  (		self     ):
         torch.manual_seed(0     )
         __UpperCamelCase						:						Dict		     =	UNetaDModel(
             block_out_channels=(3_2, 6_4)  ,      layers_per_block=2  ,      sample_size=3_2  ,      in_channels=6  ,      out_channels=3  ,      down_block_types=('DownBlock2D', 'AttnDownBlock2D')  ,      up_block_types=('AttnUpBlock2D', 'UpBlock2D')  ,      )
         return model







     @property
     def lowerCAmelCase  (		self     ):
         torch.manual_seed(0     )
         __UpperCamelCase						:						List[str]		     =	VQModel(
             block_out_channels=[3_2, 6_4]  ,      in_channels=3  ,      out_channels=3  ,      down_block_types=['DownEncoderBlock2D', 'DownEncoderBlock2D']  ,      up_block_types=['UpDecoderBlock2D', 'UpDecoderBlock2D']  ,      latent_channels=3  ,      )
         return model







     def lowerCAmelCase  (		self     ):
         __UpperCamelCase						:						Tuple		     =	'cpu'
         __UpperCamelCase						:						Union[str, Any]		     =	self.dummy_uncond_unet
         __UpperCamelCase						:						List[str]		     =	DDIMScheduler()
         __UpperCamelCase						:						Any		     =	self.dummy_vq_model

         __UpperCamelCase						:						Tuple		     =	LDMSuperResolutionPipeline(unet=_lowerCamelCase  ,      vqvae=_lowerCamelCase  ,      scheduler=_lowerCamelCase     )
         ldm.to(_lowerCamelCase     )
         ldm.set_progress_bar_config(disable=_lowerCamelCase     )

         __UpperCamelCase						:						int		     =	self.dummy_image.to(_lowerCamelCase     )

         __UpperCamelCase						:						Union[str, Any]		     =	torch.Generator(device=_lowerCamelCase     ).manual_seed(0     )
         __UpperCamelCase						:						Union[str, Any]		     =	ldm(image=_lowerCamelCase  ,      generator=_lowerCamelCase  ,      num_inference_steps=2  ,      output_type='numpy'     ).images

         __UpperCamelCase						:						str		     =	image[0, -3:, -3:, -1]

         assert image.shape == (1, 6_4, 6_4, 3)
         __UpperCamelCase						:						str		     =	np.array([0.8_6_7_8, 0.8_2_4_5, 0.6_3_8_1, 0.6_8_3_0, 0.4_3_8_5, 0.5_5_9_9, 0.4_6_4_1, 0.6_2_0_1, 0.5_1_5_0]     )

         assert np.abs(image_slice.flatten() - expected_slice     ).max() < 1E-2







     @unittest.skipIf(torch_device != 'cuda'  ,      'This test requires a GPU'     )
     def lowerCAmelCase  (		self     ):
         __UpperCamelCase						:						Optional[Any]		     =	self.dummy_uncond_unet
         __UpperCamelCase						:						Optional[int]		     =	DDIMScheduler()
         __UpperCamelCase						:						Any		     =	self.dummy_vq_model

         # put models in fp16
         __UpperCamelCase						:						str		     =	unet.half()
         __UpperCamelCase						:						Optional[Any]		     =	vqvae.half()

         __UpperCamelCase						:						Optional[int]		     =	LDMSuperResolutionPipeline(unet=_lowerCamelCase  ,      vqvae=_lowerCamelCase  ,      scheduler=_lowerCamelCase     )
         ldm.to(_lowerCamelCase     )
         ldm.set_progress_bar_config(disable=_lowerCamelCase     )

         __UpperCamelCase						:						Dict		     =	self.dummy_image.to(_lowerCamelCase     )

         __UpperCamelCase						:						Optional[Any]		     =	ldm(_lowerCamelCase  ,      num_inference_steps=2  ,      output_type='numpy'     ).images

         assert image.shape == (1, 6_4, 6_4, 3)






@slow
@require_torch
class       __lowercase		(    unittest.TestCase    ):







     """simple docstring"""






     def lowerCAmelCase  (		self     ):
         __UpperCamelCase						:						List[Any]		     =	load_image(
             'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
             '/vq_diffusion/teddy_bear_pool.png'     )
         __UpperCamelCase						:						List[Any]		     =	init_image.resize((6_4, 6_4)  ,      resample=PIL_INTERPOLATION['lanczos']     )

         __UpperCamelCase						:						List[str]		     =	LDMSuperResolutionPipeline.from_pretrained('duongna/ldm-super-resolution'  ,      device_map='auto'     )
         ldm.set_progress_bar_config(disable=_lowerCamelCase     )

         __UpperCamelCase						:						Union[str, Any]		     =	torch.manual_seed(0     )
         __UpperCamelCase						:						Dict		     =	ldm(image=_lowerCamelCase  ,      generator=_lowerCamelCase  ,      num_inference_steps=2_0  ,      output_type='numpy'     ).images

         __UpperCamelCase						:						List[Any]		     =	image[0, -3:, -3:, -1]

         assert image.shape == (1, 2_5_6, 2_5_6, 3)
         __UpperCamelCase						:						str		     =	np.array([0.7_6_4_4, 0.7_6_7_9, 0.7_6_4_2, 0.7_6_3_3, 0.7_6_6_6, 0.7_5_6_0, 0.7_4_2_5, 0.7_2_5_7, 0.6_9_0_7]     )

         assert np.abs(image_slice.flatten() - expected_slice     ).max() < 1E-2



