




"""simple docstring"""




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

import numpy
from matplotlib import pyplot

__A :		List[str]      							=    0.25 + 0.0j
__A :		str      							=    -0.4 + 0.6j
__A :		List[str]      							=    -0.1 + 0.651j
__A :		Optional[Any]      							=    -2.0
__A :		Tuple      							=    56
__A :		Tuple      							=    2.0
__A :		int      							=    666
def 					A_			(		snake_case_     :       complex						,snake_case_     :       numpy.ndarray    ):







    '''simple docstring'''
    return numpy.exp(snake_case_    ) + c_parameter
def 					A_			(		snake_case_     :       complex						,snake_case_     :       numpy.ndarray    ):







    '''simple docstring'''
    return z_values * z_values + c_parameter
def 					A_			(		snake_case_     :       float						,snake_case_     :       int    ):







    '''simple docstring'''
    UpperCamelCase				:   Tuple          =							numpy.linspace(-window_size						,snake_case_						,snake_case_    )
    UpperCamelCase				:   Optional[Any]          =							x.reshape((nb_pixels, 1)    )
    UpperCamelCase				:   Any          =							numpy.linspace(-window_size						,snake_case_						,snake_case_    )
    UpperCamelCase				:   Tuple          =							y.reshape((1, nb_pixels)    )
    return x + 1.0J * y
def 					A_			(		snake_case_     :       Callable[[Any, numpy.ndarray], numpy.ndarray]						,snake_case_     :       Any						,snake_case_     :       int						,snake_case_     :       numpy.ndarray						,snake_case_     :       float | None = None						,):







    '''simple docstring'''
    UpperCamelCase				:   Union[str, Any]          =							z_a.astype("""complex64"""    )
    for _ in range(snake_case_    ):
        UpperCamelCase				:   str          =							eval_function(snake_case_						,snake_case_    )
        if infinity is not None:
            numpy.nan_to_num(snake_case_						,copy=snake_case_						,nan=snake_case_    )
            UpperCamelCase				:   Optional[Any]          =							infinity
    return z_n
def 					A_			(		snake_case_     :       str						,snake_case_     :       Any						,snake_case_     :       float						,snake_case_     :       numpy.ndarray						,):







    '''simple docstring'''
    UpperCamelCase				:   str          =							(abs(snake_case_    )).transpose()
    UpperCamelCase				:   int          =							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 					A_			(		):







    '''simple docstring'''
    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__":
  __A :		Union[str, Any]      							=    prepare_grid(window_size, nb_pixels)

  ignore_overflow_warnings()  # See file header for explanations

  __A :		Optional[int]      							=    24
  __A :		Union[str, Any]      							=    2 * abs(c_cauliflower) + 1
  __A :		Tuple      							=    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)

  __A :		Optional[int]      							=    64
  __A :		str      							=    2 * abs(c_polynomial_a) + 1
  __A :		str      							=    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)

  __A :		Union[str, Any]      							=    161
  __A :		Optional[int]      							=    2 * abs(c_polynomial_a) + 1
  __A :		Optional[Any]      							=    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)

  __A :		str      							=    12
  __A :		Tuple      							=    10000.0
  __A :		List[Any]      							=    iterate_function(
      eval_exponential,
      c_exponential,
      nb_iterations,
      z_a + 2,
      infinity=1.0e1_0,
  )
  show_results('''e^z+c''', c_exponential, escape_radius, z_final)












"""simple docstring"""




class 							lowerCamelCase		:







   def __init__(							self    ,      SCREAMING_SNAKE_CASE_=None ):
       UpperCamelCase				:   Optional[Any]          =							data
       UpperCamelCase				:   str          =							None







   def __repr__(							self ):
       UpperCamelCase				:   str          =							""""""
       UpperCamelCase				:   Any          =							self
       while temp:
           string_rep += f'<{temp.data}> ---> '
           UpperCamelCase				:   Optional[int]          =							temp.next
       string_rep += "<END>"
       return string_rep







def 					A_			(		snake_case_     :       Tuple    ):







    '''simple docstring'''

    # if elements_list is empty
    if not elements_list:
        raise Exception("""The Elements List is empty"""    )

    # Set first element as Head
    UpperCamelCase				:   List[Any]          =							Node(elements_list[0]    )
    UpperCamelCase				:   str          =							head
    # Loop through elements from position 1
    for data in elements_list[1:]:
        UpperCamelCase				:   Optional[int]          =							Node(snake_case_    )
        UpperCamelCase				:   Optional[Any]          =							current.next
    return head


__A :		List[Any]      							=    [1, 3, 5, 32, 44, 12, 43]
print(F'''List: {list_data}''')
print('''Creating Linked List from List.''')
__A :		int      							=    make_linked_list(list_data)
print('''Linked List:''')


print(linked_list)




