






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 						_a       (  unittest.TestCase    ):






  """simple docstring"""





  def    _UpperCAmelCase     (     self )			-> List[str]:
     # clean up the VRAM after each test
     super().tearDown()
     gc.collect()




  def    _UpperCAmelCase     (     self )			-> Dict:
     UpperCamelCase_									=     load_image(
         'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
         '/sd2-inpaint/init_image.png' )
     UpperCamelCase_									=     load_image(
         'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/sd2-inpaint/mask.png' )

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

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

     UpperCamelCase_									=     jax.random.PRNGKey(0 )
     UpperCamelCase_									=     50

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

     # shard inputs and rng
     UpperCamelCase_									=     replicate(_UpperCAmelCase )
     UpperCamelCase_									=     jax.random.split(_UpperCAmelCase		,		jax.device_count() )
     UpperCamelCase_									=     shard(_UpperCAmelCase )
     UpperCamelCase_									=     shard(_UpperCAmelCase )
     UpperCamelCase_									=     shard(_UpperCAmelCase )

     UpperCamelCase_									=     pipeline(
         _UpperCAmelCase		,		_UpperCAmelCase		,		_UpperCAmelCase		,		_UpperCAmelCase		,		_UpperCAmelCase		,		_UpperCAmelCase		,		jit=_UpperCAmelCase )

     UpperCamelCase_									=     output.images.reshape(_UpperCAmelCase		,		512		,		512		,		3 )

     UpperCamelCase_									=     images[0, 253:256, 253:256, -1]

     UpperCamelCase_									=     jnp.asarray(jax.device_get(image_slice.flatten() ) )
     UpperCamelCase_									=     jnp.array(
         [0.3_6_1_1_3_0_7, 0.3_7_6_4_9_7_3_6, 0.3_7_5_7_4_0_8, 0.3_8_2_1_3_9_5_3, 0.3_9_2_9_5_1_6_7, 0.3_8_4_1_6_3_1, 0.4_1_5_5_4_9_7_8, 0.4_1_3_7_4_7_5, 0.4_2_1_7_0_8_4] )
     print(f"""output_slice: {output_slice}""" )
     assert jnp.abs(output_slice - expected_slice ).max() < 1e-2













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






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase = "x"    ,      __lowercase = 10**-10    ,      __lowercase = 1    ,      ):
   UpperCamelCase_									=     symbols(__lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      diff(__lowercase    ,      __lowercase))

   UpperCamelCase_									=     starting_point

   while True:
      if diff_function(__lowercase) != 0:
         UpperCamelCase_									=     prev_guess - multiplicity * func(__lowercase) / diff_function(
             __lowercase)
      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

      UpperCamelCase_									=     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", 1_0, precision=0.005)}',
 )

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





