


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

import numpy
from matplotlib import pyplot

a_  :    Optional[Any]      =			0.2_5 + 0.0J
a_  :    Optional[int]      =			-0.4 + 0.6J
a_  :    Any      =			-0.1 + 0.651J
a_  :    Optional[Any]      =			-2.0
a_  :    Optional[int]      =			56
a_  :    Optional[Any]      =			2.0
a_  :    Optional[int]      =			666





def __snake_case (				UpperCAmelCase_						:						Union[str, Any] ,    UpperCAmelCase_						:						List[Any]		):
 return numpy.exp(UpperCAmelCase_		) + c_parameter





def __snake_case (				UpperCAmelCase_						:						Dict ,    UpperCAmelCase_						:						Union[str, Any]		):
 return z_values * z_values + c_parameter





def __snake_case (				UpperCAmelCase_						:						int ,    UpperCAmelCase_						:						Optional[int]		):
 lowerCamelCase_								=  numpy.linspace(-window_size ,    UpperCAmelCase_ ,    UpperCAmelCase_		)
 lowerCamelCase_								=  x.reshape((nb_pixels, 1)		)
 lowerCamelCase_								=  numpy.linspace(-window_size ,    UpperCAmelCase_ ,    UpperCAmelCase_		)
 lowerCamelCase_								=  y.reshape((1, nb_pixels)		)
 return x + 1.0J * y





def __snake_case (				UpperCAmelCase_						:						Dict ,    UpperCAmelCase_						:						Optional[int] ,    UpperCAmelCase_						:						List[str] ,    UpperCAmelCase_						:						Tuple ,    UpperCAmelCase_						:						List[str] = None ,    ):
 lowerCamelCase_								=  z_a.astype("complex64"		)
 for _ in range(UpperCAmelCase_		):
  lowerCamelCase_								=  eval_function(UpperCAmelCase_ ,    UpperCAmelCase_		)
  if infinity is not None:
   numpy.nan_to_num(UpperCAmelCase_ ,    copy=UpperCAmelCase_ ,    nan=UpperCAmelCase_		)
   lowerCamelCase_								=  infinity
 return z_n





def __snake_case (				UpperCAmelCase_						:						str ,    UpperCAmelCase_						:						str ,    UpperCAmelCase_						:						Optional[Any] ,    UpperCAmelCase_						:						Dict ,    ):
 lowerCamelCase_								=  (abs(UpperCAmelCase_		)).transpose()
 lowerCamelCase_								=  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 __snake_case (				):
 warnings.filterwarnings(
     "ignore" ,    category=UpperCAmelCase_ ,    message="overflow encountered in multiply"		)
 warnings.filterwarnings(
     "ignore" ,    category=UpperCAmelCase_ ,    message="invalid value encountered in multiply" ,    )
 warnings.filterwarnings(
     "ignore" ,    category=UpperCAmelCase_ ,    message="overflow encountered in absolute"		)
 warnings.filterwarnings(
     "ignore" ,    category=UpperCAmelCase_ ,    message="overflow encountered in exp"		)


if __name__ == "__main__":
     a_  :    Optional[int]      =			prepare_grid(window_size, nb_pixels)

     ignore_overflow_warnings()  # See file header for explanations

     a_  :    List[str]      =			24
     a_  :    Dict      =			2 * abs(c_cauliflower) + 1
     a_  :    List[Any]      =			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_  :    Union[str, Any]      =			64
     a_  :    Union[str, Any]      =			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_  :    Optional[Any]      =			161
     a_  :    Any      =			2 * abs(c_polynomial_a) + 1
     a_  :    List[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]      =			12
     a_  :    Tuple      =			10000.0
     a_  :    List[Any]      =			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'''

def __snake_case (				UpperCAmelCase_						:						float		):
 return -num if num < 0 else num





def __snake_case (				UpperCAmelCase_						:						list[int]		):
 if len(UpperCAmelCase_		) == 0:
  raise ValueError("abs_min() arg is an empty sequence"		)
 lowerCamelCase_								=  x[0]
 for i in x:
  if abs_val(UpperCAmelCase_		) < abs_val(UpperCAmelCase_		):
   lowerCamelCase_								=  i
 return j





def __snake_case (				UpperCAmelCase_						:						list[int]		):
 if len(UpperCAmelCase_		) == 0:
  raise ValueError("abs_max() arg is an empty sequence"		)
 lowerCamelCase_								=  x[0]
 for i in x:
  if abs(UpperCAmelCase_		) > abs(UpperCAmelCase_		):
   lowerCamelCase_								=  i
 return j





def __snake_case (				UpperCAmelCase_						:						list[int]		):
 if len(UpperCAmelCase_		) == 0:
  raise ValueError("abs_max_sort() arg is an empty sequence"		)
 return sorted(UpperCAmelCase_ ,    key=UpperCAmelCase_		)[-1]





def __snake_case (				):
 assert abs_val(0		) == 0
 assert abs_val(34		) == 34
 assert abs_val(-100000000000		) == 100000000000

 lowerCamelCase_								=  [-3, -1, 2, -11]
 assert abs_max(UpperCAmelCase_		) == -11
 assert abs_max_sort(UpperCAmelCase_		) == -11
 assert abs_min(UpperCAmelCase_		) == -1


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     test_abs_val()
     print(abs_val(-34))  # --> 34



