



'''simple docstring'''





from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
lowercase_	 =						299_792_458

# Symbols
lowercase_	 =						symbols("ct x y z")




def lowerCAmelCase						(__A):



     """simple docstring"""



     if velocity > c:
          raise ValueError('''Speed must not exceed light speed 299,792,458 [m/s]!''')
     elif velocity < 1:
          # Usually the speed should be much higher than 1 (c order of magnitude)
          raise ValueError('''Speed must be greater than or equal to 1!''')

     return velocity / c




def lowerCAmelCase						(__A):



     """simple docstring"""



     return 1 / sqrt(1 - beta(UpperCAmelCase__) ** 2)




def lowerCAmelCase						(__A):



     """simple docstring"""



     return np.array(
         [
             [gamma(UpperCAmelCase__), -gamma(UpperCAmelCase__) * beta(UpperCAmelCase__), 0, 0],
             [-gamma(UpperCAmelCase__) * beta(UpperCAmelCase__), gamma(UpperCAmelCase__), 0, 0],
             [0, 0, 1, 0],
             [0, 0, 0, 1],
         ])




def lowerCAmelCase						(__A						,			__A = None):



     """simple docstring"""



     if event is None:
          _a											=						np.array([ct, x, y, z])  # Symbolic four vector
     else:
          event[0] *= c  # x0 is ct (speed of light * time)

     return transformation_matrix(UpperCAmelCase__) @ event


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  # Example of symbolic vector:
  lowercase_	 =						transform(29_979_245)
  print("Example of four vector: ")
  print(F"""ct' = {four_vector[0]}""")
  print(F"""x' = {four_vector[1]}""")
  print(F"""y' = {four_vector[2]}""")
  print(F"""z' = {four_vector[3]}""")

  # Substitute symbols with numerical values
  lowercase_	 =						{ct: c, x: 1, y: 1, z: 1}
  lowercase_	 =						[four_vector[i].subs(sub_dict) for i in range(4)]

  print(F"""\n{numerical_vector}""")








'''simple docstring'''





import sys
import tempfile
import unittest
import unittest.mock as mock
from pathlib import Path

from huggingface_hub import HfFolder, delete_repo
from requests.exceptions import HTTPError

from transformers import AutoImageProcessor, ViTImageProcessor
from transformers.testing_utils import TOKEN, USER, get_tests_dir, is_staging_test


sys.path.append(str(Path(__file__).parent.parent / "utils"))

from test_module.custom_image_processing import CustomImageProcessor  # noqa E402


lowercase_	 =						get_tests_dir("fixtures")






class __A    (						unittest.TestCase		):



 '''simple docstring'''







 def       a__						(self )					->  List[Any]:


      """simple docstring"""



      _a											=						mock.Mock()
      _a											=						500
      _a											=						{}
      _a											=						HTTPError
      _a											=						{}

      # Download this model to make sure it's in the cache.
      _a											=						ViTImageProcessor.from_pretrained('''hf-internal-testing/tiny-random-vit''' )
      # Under the mock environment we get a 500 error when trying to reach the model.
      with mock.patch('''requests.Session.request'''				,     return_value=A ) as mock_head:
           _a											=						ViTImageProcessor.from_pretrained('''hf-internal-testing/tiny-random-vit''' )
           # This check we did call the fake head request
           mock_head.assert_called()



 def       a__						(self )					->  str:


      """simple docstring"""



      _a											=						ViTImageProcessor.from_pretrained(
          '''https://huggingface.co/hf-internal-testing/tiny-random-vit/resolve/main/preprocessor_config.json''' )



 def       a__						(self )					->  Dict:


      """simple docstring"""



      with self.assertRaises(A ):
           # config is in subfolder, the following should not work without specifying the subfolder
           _a											=						AutoImageProcessor.from_pretrained('''hf-internal-testing/stable-diffusion-all-variants''' )

      _a											=						AutoImageProcessor.from_pretrained(
          '''hf-internal-testing/stable-diffusion-all-variants'''				,     subfolder='''feature_extractor''' )

      self.assertIsNotNone(A )






@is_staging_test
class __A    (						unittest.TestCase		):



 '''simple docstring'''







 @classmethod
 def       a__						(cls )					->  Any:


      """simple docstring"""



      _a											=						TOKEN
      HfFolder.save_token(A )



 @classmethod
 def       a__						(cls )					->  Union[str, Any]:


      """simple docstring"""



      try:
           delete_repo(token=cls._token				,     repo_id='''test-image-processor''' )
      except HTTPError:
           pass

      try:
           delete_repo(token=cls._token				,     repo_id='''valid_org/test-image-processor-org''' )
      except HTTPError:
           pass

      try:
           delete_repo(token=cls._token				,     repo_id='''test-dynamic-image-processor''' )
      except HTTPError:
           pass



 def       a__						(self )					->  str:


      """simple docstring"""



      _a											=						ViTImageProcessor.from_pretrained(A )
      image_processor.push_to_hub('''test-image-processor'''				,     use_auth_token=self._token )

      _a											=						ViTImageProcessor.from_pretrained(f'''{USER}/test-image-processor''' )
      for k, v in image_processor.__dict__.items():
           self.assertEqual(A				,     getattr(A				,     A ) )

      # Reset repo
      delete_repo(token=self._token				,     repo_id='''test-image-processor''' )

      # Push to hub via save_pretrained
      with tempfile.TemporaryDirectory() as tmp_dir:
           image_processor.save_pretrained(
               A				,     repo_id='''test-image-processor'''				,     push_to_hub=A				,     use_auth_token=self._token )

      _a											=						ViTImageProcessor.from_pretrained(f'''{USER}/test-image-processor''' )
      for k, v in image_processor.__dict__.items():
           self.assertEqual(A				,     getattr(A				,     A ) )



 def       a__						(self )					->  List[Any]:


      """simple docstring"""



      _a											=						ViTImageProcessor.from_pretrained(A )
      image_processor.push_to_hub('''valid_org/test-image-processor'''				,     use_auth_token=self._token )

      _a											=						ViTImageProcessor.from_pretrained('''valid_org/test-image-processor''' )
      for k, v in image_processor.__dict__.items():
           self.assertEqual(A				,     getattr(A				,     A ) )

      # Reset repo
      delete_repo(token=self._token				,     repo_id='''valid_org/test-image-processor''' )

      # Push to hub via save_pretrained
      with tempfile.TemporaryDirectory() as tmp_dir:
           image_processor.save_pretrained(
               A				,     repo_id='''valid_org/test-image-processor-org'''				,     push_to_hub=A				,     use_auth_token=self._token )

      _a											=						ViTImageProcessor.from_pretrained('''valid_org/test-image-processor-org''' )
      for k, v in image_processor.__dict__.items():
           self.assertEqual(A				,     getattr(A				,     A ) )



 def       a__						(self )					->  Union[str, Any]:


      """simple docstring"""



      CustomImageProcessor.register_for_auto_class()
      _a											=						CustomImageProcessor.from_pretrained(A )

      image_processor.push_to_hub('''test-dynamic-image-processor'''				,     use_auth_token=self._token )

      # This has added the proper auto_map field to the config
      self.assertDictEqual(
          image_processor.auto_map				,     {'''AutoImageProcessor''': '''custom_image_processing.CustomImageProcessor'''}				,     )

      _a											=						AutoImageProcessor.from_pretrained(
          f'''{USER}/test-dynamic-image-processor'''				,     trust_remote_code=A )
      # Can't make an isinstance check because the new_image_processor is from the CustomImageProcessor class of a dynamic module
      self.assertEqual(new_image_processor.__class__.__name__				,     '''CustomImageProcessor''' )



