


import contextlib
from multiprocessing import Pool, RLock

from tqdm.auto import tqdm

from ..utils import experimental, logging


UpperCAmelCase    =					logging.get_logger(__name__)







class lowerCAmelCase_		:

 '''simple docstring'''

 __snake_case				=						None






@experimental
def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )->						Union[str, Any]:




      """simple docstring"""

      if ParallelBackendConfig.backend_name is None:
            return _map_with_multiprocessing_pool(
                SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )

      return _map_with_joblib(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )






def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )->						Tuple:




      """simple docstring"""

      snake_case_ =   num_proc if num_proc <= len(SCREAMING_SNAKE_CASE      ) else len(SCREAMING_SNAKE_CASE      )
      snake_case_ =   []  # We organize the splits ourselve (contiguous splits)
      for index in range(SCREAMING_SNAKE_CASE      ):
            snake_case_ =   len(SCREAMING_SNAKE_CASE      ) // num_proc
            snake_case_ =   len(SCREAMING_SNAKE_CASE      ) % num_proc
            snake_case_ =   div * index + min(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )
            snake_case_ =   start + div + (1 if index < mod else 0)
            split_kwds.append((function, iterable[start:end], types, index, disable_tqdm, desc)      )

      if len(SCREAMING_SNAKE_CASE      ) != sum(len(i[1]      ) for i in split_kwds      ):
            raise ValueError(
                f'''Error dividing inputs iterable among processes. '''
                f'''Total number of objects {len(SCREAMING_SNAKE_CASE      )}, '''
                f'''length: {sum(len(i[1]      ) for i in split_kwds      )}'''      )

      logger.info(
          f'''Spawning {num_proc} processes for {len(SCREAMING_SNAKE_CASE      )} objects in slices of {[len(i[1]      ) for i in split_kwds]}'''      )
      snake_case_ ,					snake_case_ =   None, None
      if not disable_tqdm:
            snake_case_ ,					snake_case_ =   (RLock(),), tqdm.set_lock
      with Pool(SCREAMING_SNAKE_CASE      ,      initargs=SCREAMING_SNAKE_CASE      ,      initializer=SCREAMING_SNAKE_CASE      ) as pool:
            snake_case_ =   pool.map(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )
      logger.info(f'''Finished {num_proc} processes'''      )
      snake_case_ =   [obj for proc_res in mapped for obj in proc_res]
      logger.info(f'''Unpacked {len(SCREAMING_SNAKE_CASE      )} objects'''      )

      return mapped






def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE      )->						Union[str, Any]:




      """simple docstring"""

      import joblib

      with joblib.parallel_backend(ParallelBackendConfig.backend_name      ,      n_jobs=SCREAMING_SNAKE_CASE      ):
            return joblib.Parallel()(
                joblib.delayed(SCREAMING_SNAKE_CASE      )((function, obj, types, None, True, None)      ) for obj in iterable      )






@experimental
@contextlib.contextmanager
def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      )->						List[str]:




      """simple docstring"""

      snake_case_ =   backend_name

      if backend_name == "spark":
            from joblibspark import register_spark

            register_spark()

            # TODO: call create_cache_and_write_probe if "download" in steps
            # TODO: raise NotImplementedError when Dataset.map etc is called

      try:
            yield
      finally:
            snake_case_ =   None



from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
UpperCAmelCase    =					2_9979_2458

# Symbols
UpperCAmelCase,							UpperCAmelCase,							UpperCAmelCase,							UpperCAmelCase    =					symbols("""ct x y z""")






def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      )->						float:




      """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					(SCREAMING_SNAKE_CASE      )->						float:




      """simple docstring"""

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






def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      )->						np.ndarray:




      """simple docstring"""

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






def  __lowerCAmelCase					(SCREAMING_SNAKE_CASE      ,      SCREAMING_SNAKE_CASE = None      )->						np.ndarray:




      """simple docstring"""

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

      return transformation_matrix(SCREAMING_SNAKE_CASE      ) @ event


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   # Example of symbolic vector:
   UpperCAmelCase    =					transform(2997_9245)
   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
   UpperCAmelCase    =					{ct: c, x: 1, y: 1, z: 1}
   UpperCAmelCase    =					[four_vector[i].subs(sub_dict) for i in range(4)]

   print(f'''\n{numerical_vector}''')