





'''simple docstring'''






import warnings
from collections.abc import Callable
from typing import Any

import numpy
from matplotlib import pyplot

snake_case_     			=						0.25 + 0.0j
snake_case_     			=						-0.4 + 0.6j
snake_case_     			=						-0.1 + 0.6_5_1j
snake_case_     			=						-2.0
snake_case_     			=						56
snake_case_     			=						2.0
snake_case_     			=						6_66
def 				_lowerCamelCase(	UpperCamelCase__     :			complex     ,							UpperCamelCase__     :			numpy.ndarray		)		->	Dict:
    return numpy.exp(_snake_case		) + c_parameter
def 				_lowerCamelCase(	UpperCamelCase__     :			complex     ,							UpperCamelCase__     :			numpy.ndarray		)		->	List[str]:
    return z_values * z_values + c_parameter
def 				_lowerCamelCase(	UpperCamelCase__     :			float     ,							UpperCamelCase__     :			int		)		->	int:
    A							:							Dict				=    numpy.linspace(-window_size     ,							_snake_case     ,							_snake_case		)
    A							:							Optional[int]				=    x.reshape((nb_pixels, 1)		)
    A							:							str				=    numpy.linspace(-window_size     ,							_snake_case     ,							_snake_case		)
    A							:							Dict				=    y.reshape((1, nb_pixels)		)
    return x + 1.0J * y
def 				_lowerCamelCase(	UpperCamelCase__     :			Callable[[Any, numpy.ndarray], numpy.ndarray]     ,							UpperCamelCase__     :			Any     ,							UpperCamelCase__     :			int     ,							UpperCamelCase__     :			numpy.ndarray     ,							UpperCamelCase__     :			float | None = None     ,							)		->	Union[str, Any]:
    A							:							int				=    z_a.astype('''complex64'''		)
    for _ in range(_snake_case		):
        A							:							str				=    eval_function(_snake_case     ,							_snake_case		)
        if infinity is not None:
            numpy.nan_to_num(_snake_case     ,							copy=_snake_case     ,							nan=_snake_case		)
            A							:							List[Any]				=    infinity
    return z_n
def 				_lowerCamelCase(	UpperCamelCase__     :			str     ,							UpperCamelCase__     :			Any     ,							UpperCamelCase__     :			float     ,							UpperCamelCase__     :			numpy.ndarray     ,							)		->	Optional[Any]:
    A							:							Union[str, Any]				=    (abs(_snake_case		)).transpose()
    A							:							Any				=    abs_z_final[::-1, :]
    pyplot.matshow(abs_z_final < escape_radius		)
    pyplot.title(F'''Julia set of ${function_label}$, $c={function_params}$'''		)
    pyplot.show()
def 				_lowerCamelCase(	)		->	Optional[int]:
    warnings.filterwarnings(
        '''ignore'''     ,							category=_snake_case     ,							message='''overflow encountered in multiply'''		)
    warnings.filterwarnings(
        '''ignore'''     ,							category=_snake_case     ,							message='''invalid value encountered in multiply'''     ,							)
    warnings.filterwarnings(
        '''ignore'''     ,							category=_snake_case     ,							message='''overflow encountered in absolute'''		)
    warnings.filterwarnings(
        '''ignore'''     ,							category=_snake_case     ,							message='''overflow encountered in exp'''		)


if __name__ == "__main__":
     snake_case_     			=						prepare_grid(window_size, nb_pixels)

     ignore_overflow_warnings()  # See file header for explanations

     snake_case_     			=						24
     snake_case_     			=						2 * abs(c_cauliflower) + 1
     snake_case_     			=						iterate_function(
         eval_quadratic_polynomial,
         c_cauliflower,
         nb_iterations,
         z_a,
         infinity=1.1 * escape_radius,
     )
     show_results("""z^2+c""", c_cauliflower, escape_radius, z_final)

     snake_case_     			=						64
     snake_case_     			=						2 * abs(c_polynomial_a) + 1
     snake_case_     			=						iterate_function(
         eval_quadratic_polynomial,
         c_polynomial_a,
         nb_iterations,
         z_a,
         infinity=1.1 * escape_radius,
     )
     show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

     snake_case_     			=						1_61
     snake_case_     			=						2 * abs(c_polynomial_a) + 1
     snake_case_     			=						iterate_function(
         eval_quadratic_polynomial,
         c_polynomial_a,
         nb_iterations,
         z_a,
         infinity=1.1 * escape_radius,
     )
     show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

     snake_case_     			=						12
     snake_case_     			=						1_00_00.0
     snake_case_     			=						iterate_function(
         eval_exponential,
         c_exponential,
         nb_iterations,
         z_a + 2,
         infinity=1.0E10,
     )
     show_results("""e^z+c""", c_exponential, escape_radius, z_final)

"""simple docstring"""


from typing import Literal

__UpperCamelCase       :    int         =		"ABCDEFGHIJKLMNOPQRSTUVWXYZ"


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str,				_snake_case		:       Literal["encrypt", "decrypt"]       ):
   _lowercase							     =       LETTERS if mode == "decrypt" else key
   _lowercase							     =       key if mode == "decrypt" else LETTERS
   _lowercase							     =       ""
   # loop through each symbol in the message
   for symbol in message:
      if symbol.upper() in chars_a:
         # encrypt/decrypt the symbol
         _lowercase							     =       chars_a.find(symbol.upper()       )
         if symbol.isupper():
            translated += chars_b[sym_index].upper()
         else:
            translated += chars_b[sym_index].lower()
      else:
         # symbol is not in LETTERS, just add it
         translated += symbol
   return translated


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str       ):
   return translate_message(_snake_case,				_snake_case,				"encrypt"       )


def   __UpperCAmelCase     (	_snake_case		:       str,				_snake_case		:       str       ):
   return translate_message(_snake_case,				_snake_case,				"decrypt"       )


def   __UpperCAmelCase     (	):
   _lowercase							     =       "Hello World"
   _lowercase							     =       "QWERTYUIOPASDFGHJKLZXCVBNM"
   _lowercase							     =       "decrypt"  # set to 'encrypt' or 'decrypt'

   if mode == "encrypt":
      _lowercase							     =       encrypt_message(_snake_case,				_snake_case       )
   elif mode == "decrypt":
      _lowercase							     =       decrypt_message(_snake_case,				_snake_case       )
   print(f"""Using the key {key}, the {mode}ed message is: {translated}"""       )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()