
"""simple docstring"""




from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403



def        _lowerCamelCase ( __a,							__a,							__a = "x",							__a = 10**-10,							__a = 1,							):
		SCREAMING_SNAKE_CASE_						 = symbols(__SCREAMING_SNAKE_CASE    )
		SCREAMING_SNAKE_CASE_						 = lambdify(__SCREAMING_SNAKE_CASE,							__SCREAMING_SNAKE_CASE    )
		SCREAMING_SNAKE_CASE_						 = lambdify(__SCREAMING_SNAKE_CASE,							diff(__SCREAMING_SNAKE_CASE,							__SCREAMING_SNAKE_CASE    )    )

		SCREAMING_SNAKE_CASE_						 = starting_point

		while True:
				if diff_function(__SCREAMING_SNAKE_CASE    ) != 0:
						SCREAMING_SNAKE_CASE_						 = prev_guess - multiplicity * func(__SCREAMING_SNAKE_CASE    ) / diff_function(
						    __SCREAMING_SNAKE_CASE    )
				else:
						raise ZeroDivisionError('''Could not find root'''    ) from None

				# Precision is checked by comparing the difference of consecutive guesses
				if abs(next_guess - prev_guess    ) < precision:
						return next_guess

				SCREAMING_SNAKE_CASE_						 = next_guess


# Let's Execute
if __name__ == "__main__":
						# Find root of trigonometric function
						# Find value of pi
						print(f'''The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}''')

						# Find root of polynomial
						# Find fourth Root of 5
						print(f'''The root of x**4 - 5 = 0 is {newton_raphson('x**4 -5', 0.4 +5j)}''')

						# Find value of e
						print(
						    'The root of log(y) - 1 = 0 is ',
						    f'''{newton_raphson('log(y) - 1', 2, variable='y')}''',
						)

						# Exponential Roots
						print(
						    'The root of exp(x) - 1 = 0 is',
						    f'''{newton_raphson('exp(x) - 1', 10, precision=0.005)}''',
						)

						# Find root of cos(x)
						print(f'''The root of cos(x) = 0 is {newton_raphson('cos(x)', 0)}''')

"""simple docstring"""




import gc
import tempfile
import unittest

import numpy as np
import torch

from diffusers import VersatileDiffusionPipeline
from diffusers.utils.testing_utils import load_image, nightly, require_torch_gpu, torch_device


lowerCAmelCase__							=				False





class  snake_case     (							unittest.TestCase   ):
							pass







@nightly
@require_torch_gpu
class  snake_case     (							unittest.TestCase   ):

							def _lowercase					(self    ):

									"""simple docstring"""







									super().tearDown()
									gc.collect()
									torch.cuda.empty_cache()

							def _lowercase					(self    ):

									"""simple docstring"""







									SCREAMING_SNAKE_CASE_						 = VersatileDiffusionPipeline.from_pretrained('''shi-labs/versatile-diffusion'''       ,       torch_dtype=torch.floataa    )
									pipe.to(SCREAMING_SNAKE_CASE_    )
									pipe.set_progress_bar_config(disable=SCREAMING_SNAKE_CASE_    )

									SCREAMING_SNAKE_CASE_						 = load_image(
									    '''https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/versatile_diffusion/benz.jpg'''    )

									SCREAMING_SNAKE_CASE_						 = torch.manual_seed(0    )
									SCREAMING_SNAKE_CASE_						 = pipe.dual_guided(
									    prompt='''first prompt'''       ,       image=SCREAMING_SNAKE_CASE_       ,       text_to_image_strength=0.75       ,       generator=SCREAMING_SNAKE_CASE_       ,       guidance_scale=7.5       ,       num_inference_steps=2       ,       output_type='''numpy'''       ,       ).images

									with tempfile.TemporaryDirectory() as tmpdirname:
											pipe.save_pretrained(SCREAMING_SNAKE_CASE_    )
											SCREAMING_SNAKE_CASE_						 = VersatileDiffusionPipeline.from_pretrained(SCREAMING_SNAKE_CASE_       ,       torch_dtype=torch.floataa    )
									pipe.to(SCREAMING_SNAKE_CASE_    )
									pipe.set_progress_bar_config(disable=SCREAMING_SNAKE_CASE_    )

									SCREAMING_SNAKE_CASE_						 = generator.manual_seed(0    )
									SCREAMING_SNAKE_CASE_						 = pipe.dual_guided(
									    prompt='''first prompt'''       ,       image=SCREAMING_SNAKE_CASE_       ,       text_to_image_strength=0.75       ,       generator=SCREAMING_SNAKE_CASE_       ,       guidance_scale=7.5       ,       num_inference_steps=2       ,       output_type='''numpy'''       ,       ).images

									assert np.abs(image - new_image    ).sum() < 1e-5, "Models don't have the same forward pass"







							def _lowercase					(self    ):

									"""simple docstring"""







									SCREAMING_SNAKE_CASE_						 = VersatileDiffusionPipeline.from_pretrained('''shi-labs/versatile-diffusion'''       ,       torch_dtype=torch.floataa    )
									pipe.to(SCREAMING_SNAKE_CASE_    )
									pipe.set_progress_bar_config(disable=SCREAMING_SNAKE_CASE_    )

									SCREAMING_SNAKE_CASE_						 = '''cyberpunk 2077'''
									SCREAMING_SNAKE_CASE_						 = load_image(
									    '''https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/versatile_diffusion/benz.jpg'''    )
									SCREAMING_SNAKE_CASE_						 = torch.manual_seed(0    )
									SCREAMING_SNAKE_CASE_						 = pipe.dual_guided(
									    prompt=SCREAMING_SNAKE_CASE_       ,       image=SCREAMING_SNAKE_CASE_       ,       text_to_image_strength=0.75       ,       generator=SCREAMING_SNAKE_CASE_       ,       guidance_scale=7.5       ,       num_inference_steps=50       ,       output_type='''numpy'''       ,       ).images

									SCREAMING_SNAKE_CASE_						 = image[0, 2_53:2_56, 2_53:2_56, -1]

									assert image.shape == (1, 5_12, 5_12, 3)
									SCREAMING_SNAKE_CASE_						 = np.array([0.14_48, 0.16_19, 0.17_41, 0.10_86, 0.11_47, 0.11_28, 0.11_99, 0.11_65, 0.10_01]    )

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

									SCREAMING_SNAKE_CASE_						 = '''A painting of a squirrel eating a burger '''
									SCREAMING_SNAKE_CASE_						 = torch.manual_seed(0    )
									SCREAMING_SNAKE_CASE_						 = pipe.text_to_image(
									    prompt=SCREAMING_SNAKE_CASE_       ,       generator=SCREAMING_SNAKE_CASE_       ,       guidance_scale=7.5       ,       num_inference_steps=50       ,       output_type='''numpy'''    ).images

									SCREAMING_SNAKE_CASE_						 = image[0, 2_53:2_56, 2_53:2_56, -1]

									assert image.shape == (1, 5_12, 5_12, 3)
									SCREAMING_SNAKE_CASE_						 = np.array([0.33_67, 0.31_69, 0.26_56, 0.38_70, 0.47_90, 0.37_96, 0.40_09, 0.48_78, 0.47_78]    )

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

									SCREAMING_SNAKE_CASE_						 = pipe.image_variation(SCREAMING_SNAKE_CASE_       ,       generator=SCREAMING_SNAKE_CASE_       ,       output_type='''numpy'''    ).images

									SCREAMING_SNAKE_CASE_						 = image[0, 2_53:2_56, 2_53:2_56, -1]

									assert image.shape == (1, 5_12, 5_12, 3)
									SCREAMING_SNAKE_CASE_						 = np.array([0.30_76, 0.31_23, 0.32_84, 0.37_82, 0.37_70, 0.38_94, 0.42_97, 0.43_31, 0.44_56]    )

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