



'''simple docstring'''



import gc
import unittest

from diffusers import FlaxStableDiffusionInpaintPipeline
from diffusers.utils import is_flax_available, load_image, slow
from diffusers.utils.testing_utils import require_flax


if is_flax_available():
		import jax
		import jax.numpy as jnp
		from flax.jax_utils import replicate
		from flax.training.common_utils import shard





@slow
@require_flax
class _UpperCamelCase		(     unittest.TestCase		):





				'''simple docstring'''





				def 				__lowerCamelCase     (							self  :  List[Any]):







											'''simple docstring'''

											super().tearDown()
											gc.collect()

				def 				__lowerCamelCase     (							self  :  List[str]):







											'''simple docstring'''

											__lowercase       	=load_image(
											    'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
											    '/sd2-inpaint/init_image.png')
											__lowercase       	=load_image(
											    'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/sd2-inpaint/mask.png')

											__lowercase       	='xvjiarui/stable-diffusion-2-inpainting'
											__lowercase	,				__lowercase       	=FlaxStableDiffusionInpaintPipeline.from_pretrained(_lowerCAmelCase  ,       safety_checker=_lowerCAmelCase)

											__lowercase       	='Face of a yellow cat, high resolution, sitting on a park bench'

											__lowercase       	=jax.random.PRNGKey(0)
											__lowercase       	=5_0

											__lowercase       	=jax.device_count()
											__lowercase       	=num_samples * [prompt]
											__lowercase       	=num_samples * [init_image]
											__lowercase       	=num_samples * [mask_image]
											__lowercase	,				__lowercase	,				__lowercase       	=pipeline.prepare_inputs(_lowerCAmelCase  ,       _lowerCAmelCase  ,       _lowerCAmelCase)

											# shard inputs and rng
											__lowercase       	=replicate(_lowerCAmelCase)
											__lowercase       	=jax.random.split(_lowerCAmelCase  ,       jax.device_count())
											__lowercase       	=shard(_lowerCAmelCase)
											__lowercase       	=shard(_lowerCAmelCase)
											__lowercase       	=shard(_lowerCAmelCase)

											__lowercase       	=pipeline(
											    _lowerCAmelCase  ,       _lowerCAmelCase  ,       _lowerCAmelCase  ,       _lowerCAmelCase  ,       _lowerCAmelCase  ,       _lowerCAmelCase  ,       jit=_lowerCAmelCase)

											__lowercase       	=output.images.reshape(_lowerCAmelCase  ,       5_1_2  ,       5_1_2  ,       3)

											__lowercase       	=images[0, 2_5_3:2_5_6, 2_5_3:2_5_6, -1]

											__lowercase       	=jnp.asarray(jax.device_get(image_slice.flatten()))
											__lowercase       	=jnp.array(
											    [0.361_1307, 0.3764_9736, 0.375_7408, 0.3821_3953, 0.3929_5167, 0.384_1631, 0.4155_4978, 0.413_7475, 0.421_7084])
											print(f"""output_slice: {output_slice}""")
											assert jnp.abs(output_slice - expected_slice).max() < 1e-2








'''simple docstring'''



from decimal import Decimal, getcontext
from math import ceil, factorial



def   _A       (   _lowerCAmelCase					):



							"""simple docstring"""



							if not isinstance(_lowerCAmelCase  ,   _lowerCAmelCase					):
														raise TypeError('Undefined for non-integers'					)
							elif precision < 1:
														raise ValueError('Undefined for non-natural numbers'					)

							__lowercase       	=precision
							__lowercase       	=ceil(precision / 14					)
							__lowercase       	=426_880 * Decimal(10_005					).sqrt()
							__lowercase       	=1
							__lowercase       	=13_591_409
							__lowercase       	=Decimal(_lowerCAmelCase					)
							for k in range(1  ,   _lowerCAmelCase					):
														__lowercase       	=factorial(6 * k					) // (factorial(3 * k					) * factorial(_lowerCAmelCase					) ** 3)
														linear_term += 545_140_134
														exponential_term *= -262_537_412_640_768_000
														partial_sum += Decimal(multinomial_term * linear_term					) / exponential_term
							return str(constant_term / partial_sum					)[:-1]


if __name__ == "__main__":
		lowerCamelCase	 =       50
		print(f"The first {n} digits of pi is: {pi(n)}")



