



from __future__ import annotations

from collections.abc import MutableSequence





class    lowerCamelCase__  :
     """simple docstring"""



     def __init__(self				,			__a				,			__a    ):






           '''simple docstring'''



           if len(__a    ) != degree + 1:
                 raise ValueError(
                     "The number of coefficients should be equal to the degree + 1."    )

           lowerCamelCase								=		list(__a    )
           lowerCamelCase								=		degree







     def __add__(self				,			__a    ):






           '''simple docstring'''



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







     def __sub__(self				,			__a    ):






           '''simple docstring'''



           return self + polynomial_a * Polynomial(0				,			[-1]    )







     def __neg__(self    ):






           '''simple docstring'''



           return Polynomial(self.degree				,			[-c for c in self.coefficients]    )







     def __mul__(self				,			__a    ):






           '''simple docstring'''



           lowerCamelCase								=		[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				,			__a    )







     def 						_a      (self				,			__a    ):






           '''simple docstring'''



           lowerCamelCase								=		0
           for i in range(self.degree + 1    ):
                 result += self.coefficients[i] * (substitution**i)
           return result







     def __str__(self    ):






           '''simple docstring'''



           lowerCamelCase								=		""
           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(__a    )

           return polynomial







     def __repr__(self    ):






           '''simple docstring'''



           return self.__str__()







     def 						_a      (self    ):






           '''simple docstring'''



           lowerCamelCase								=		[0] * self.degree
           for i in range(self.degree    ):
                 lowerCamelCase								=		self.coefficients[i + 1] * (i + 1)
           return Polynomial(self.degree - 1				,			__a    )







     def 						_a      (self				,			__a = 0    ):






           '''simple docstring'''



           lowerCamelCase								=		[0] * (self.degree + 2)
           lowerCamelCase								=		constant
           for i in range(self.degree + 1    ):
                 lowerCamelCase								=		self.coefficients[i] / (i + 1)
           return Polynomial(self.degree + 1				,			__a    )







     def __eq__(self				,			__a    ):






           '''simple docstring'''



           if not isinstance(__a				,			__a    ):
                 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				,			__a    ):






           '''simple docstring'''



           return not self.__eq__(__a    )




import unittest

import numpy as np
import torch

from diffusers import KarrasVePipeline, KarrasVeScheduler, UNetaDModel
from diffusers.utils.testing_utils import enable_full_determinism, require_torch, slow, torch_device


enable_full_determinism()





class    lowerCamelCase__  (						unittest.TestCase):
     """simple docstring"""



     @property
     def 						_a      (self    ):






           '''simple docstring'''



           torch.manual_seed(0    )
           lowerCamelCase								=		UNetaDModel(
               block_out_channels=(32, 64)				,			layers_per_block=2				,			sample_size=32				,			in_channels=3				,			out_channels=3				,			down_block_types=("DownBlock2D", "AttnDownBlock2D")				,			up_block_types=("AttnUpBlock2D", "UpBlock2D")				,			)
           return model







     def 						_a      (self    ):






           '''simple docstring'''



           lowerCamelCase								=		self.dummy_uncond_unet
           lowerCamelCase								=		KarrasVeScheduler()

           lowerCamelCase								=		KarrasVePipeline(unet=__a				,			scheduler=__a    )
           pipe.to(__a    )
           pipe.set_progress_bar_config(disable=__a    )

           lowerCamelCase								=		torch.manual_seed(0    )
           lowerCamelCase								=		pipe(num_inference_steps=2				,			generator=__a				,			output_type="numpy"    ).images

           lowerCamelCase								=		torch.manual_seed(0    )
           lowerCamelCase								=		pipe(num_inference_steps=2				,			generator=__a				,			output_type="numpy"				,			return_dict=__a    )[0]

           lowerCamelCase								=		image[0, -3:, -3:, -1]
           lowerCamelCase								=		image_from_tuple[0, -3:, -3:, -1]

           assert image.shape == (1, 32, 32, 3)
           lowerCamelCase								=		np.array([0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0]    )

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





@slow
@require_torch
class    lowerCamelCase__  (						unittest.TestCase):
     """simple docstring"""



     def 						_a      (self    ):






           '''simple docstring'''



           lowerCamelCase								=		"google/ncsnpp-celebahq-256"
           lowerCamelCase								=		UNetaDModel.from_pretrained(__a    )
           lowerCamelCase								=		KarrasVeScheduler()

           lowerCamelCase								=		KarrasVePipeline(unet=__a				,			scheduler=__a    )
           pipe.to(__a    )
           pipe.set_progress_bar_config(disable=__a    )

           lowerCamelCase								=		torch.manual_seed(0    )
           lowerCamelCase								=		pipe(num_inference_steps=20				,			generator=__a				,			output_type="numpy"    ).images

           lowerCamelCase								=		image[0, -3:, -3:, -1]
           assert image.shape == (1, 2_56, 2_56, 3)
           lowerCamelCase								=		np.array([0.578, 0.5811, 0.5924, 0.5809, 0.587, 0.5886, 0.5861, 0.5802, 0.586]    )

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