




'''simple docstring'''


from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					List[Any]				):




     """simple docstring"""


     return getitem, k



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Any ,    UpperCamelCase__    :					Optional[int]				):




     """simple docstring"""


     return setitem, k, v



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Dict				):




     """simple docstring"""


     return delitem, k



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					int ,    UpperCamelCase__    :					int ,    *UpperCamelCase__    :					Dict				):




     """simple docstring"""


     try:
          return fun(UpperCamelCase__ ,    *UpperCamelCase__				), None
     except Exception as e:
          return None, e


lowerCAmelCase_      :  Union[str, Any]				     =  (
    _set('key_a', 'val_a'),
    _set('key_b', 'val_b'),
)

lowerCAmelCase_      :  Any				     =  [
    _set('key_a', 'val_a'),
    _set('key_a', 'val_b'),
]

lowerCAmelCase_      :  int				     =  [
    _set('key_a', 'val_a'),
    _set('key_b', 'val_b'),
    _del('key_a'),
    _del('key_b'),
    _set('key_a', 'val_a'),
    _del('key_a'),
]

lowerCAmelCase_      :  List[str]				     =  [
    _get('key_a'),
    _del('key_a'),
    _set('key_a', 'val_a'),
    _del('key_a'),
    _del('key_a'),
    _get('key_a'),
]

lowerCAmelCase_      :  Any				     =  [
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
]

lowerCAmelCase_      :  int				     =  [
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
    *[_del(x) for x in range(5)],
    _set('key_a', 'val_b'),
]



@pytest.mark.parametrize(
    """operations""" ,    (
        pytest.param(_add_items ,    id="""add items"""				),
        pytest.param(_overwrite_items ,    id="""overwrite items"""				),
        pytest.param(_delete_items ,    id="""delete items"""				),
        pytest.param(_access_absent_items ,    id="""access absent items"""				),
        pytest.param(_add_with_resize_up ,    id="""add with resize up"""				),
        pytest.param(_add_with_resize_down ,    id="""add with resize down"""				),
    ) ,    )
def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Optional[int]				):




     """simple docstring"""


     a_     :							Optional[int]     						=  HashMap(initial_block_size=4				)
     a_     :							Any     						=  {}
     for _, (fun, *args) in enumerate(UpperCamelCase__				):
          a_						,     a_     :							List[Any]     						=  _run_operation(UpperCamelCase__ ,    UpperCamelCase__ ,    *UpperCamelCase__				)
          a_						,     a_     :							Union[str, Any]     						=  _run_operation(UpperCamelCase__ ,    UpperCamelCase__ ,    *UpperCamelCase__				)
          assert my_res == py_res
          assert str(UpperCamelCase__				) == str(UpperCamelCase__				)
          assert set(UpperCamelCase__				) == set(UpperCamelCase__				)
          assert len(UpperCamelCase__				) == len(UpperCamelCase__				)
          assert set(my.items()				) == set(py.items()				)



def  _SCREAMING_SNAKE_CASE     (      ):




     """simple docstring"""


     def is_public(UpperCamelCase__    :					str				) -> bool:
          return not name.startswith("""_"""				)

     a_     :							int     						=  {name for name in dir({}				) if is_public(UpperCamelCase__				)}
     a_     :							Tuple     						=  {name for name in dir(HashMap()				) if is_public(UpperCamelCase__				)}

     assert dict_public_names > hash_public_names






'''simple docstring'''


from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
lowerCAmelCase_      :  List[Any]				     =  2_9979_2458

# Symbols
lowerCAmelCase_     ,   lowerCAmelCase_     ,   lowerCAmelCase_     ,   lowerCAmelCase_      :  Tuple				     =  symbols('ct x y z')



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					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  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float				):




     """simple docstring"""


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



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float				):




     """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  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float ,    UpperCamelCase__    :					np.ndarray | None = None				):




     """simple docstring"""


     if event is None:
          a_     :							str     						=  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:
 lowerCAmelCase_      :  Union[str, Any]				     =  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
 lowerCAmelCase_      :  Tuple				     =  {ct: c, x: 1, y: 1, z: 1}
 lowerCAmelCase_      :  Optional[int]				     =  [four_vector[i].subs(sub_dict) for i in range(4)]

 print(f"\n{numerical_vector}")
