






"""simple docstring"""





from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime







class 		_a       (						lowercase_   ):





   '''simple docstring'''






   def __init__(   self			,				*UpperCAmelCase_			,				**UpperCAmelCase_)	-> Any:




          '''simple docstring'''




          super().__init__(*UpperCAmelCase_			,				**UpperCAmelCase_)





   def __lowercase    (   self			,				UpperCAmelCase_			,				UpperCAmelCase_)	-> Union[str, Any]:




          '''simple docstring'''




          lowercase__:    List[Any]        =      (
              next_prime(value % self.size_table)
              if not is_prime(value % self.size_table)
              else value % self.size_table
          )  # gt = bigger than
          return next_prime_gt - (data % next_prime_gt)





   def __lowercase    (   self			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_)	-> List[str]:




          '''simple docstring'''




          return (increment * self.__hash_function_a(UpperCAmelCase_			,				UpperCAmelCase_)) % self.size_table





   def __lowercase    (   self			,				UpperCAmelCase_			,				UpperCAmelCase_=None)	-> Tuple:




          '''simple docstring'''




          lowercase__:    Optional[Any]        =      1
          lowercase__:    Optional[Any]        =      self.hash_function(UpperCAmelCase_)

          while self.values[new_key] is not None and self.values[new_key] != key:
                 lowercase__:    int        =      (
                     self.__hash_double_function(UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_)
                     if self.balanced_factor() >= self.lim_charge
                     else None
                 )
                 if new_key is None:
                        break
                 else:
                        i += 1

          return new_key














"""simple docstring"""





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

import numpy
from matplotlib import pyplot

UpperCamelCase			=      0.25 + 0.0j
UpperCamelCase			=      -0.4 + 0.6j
UpperCamelCase			=      -0.1 + 0.651j
UpperCamelCase			=      -2.0
UpperCamelCase			=      56
UpperCamelCase			=      2.0
UpperCamelCase			=      6_66






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       return numpy.exp(snake_case_		) + c_parameter






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       return z_values * z_values + c_parameter






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       lowercase__:    str        =      numpy.linspace(-window_size						,       snake_case_						,       snake_case_		)
       lowercase__:    Union[str, Any]        =      x.reshape((nb_pixels, 1)		)
       lowercase__:    Any        =      numpy.linspace(-window_size						,       snake_case_						,       snake_case_		)
       lowercase__:    List[Any]        =      y.reshape((1, nb_pixels)		)
       return x + 1.0J * y






def     A(  snake_case_						,       snake_case_						,       snake_case_						,       snake_case_						,       snake_case_ = None						,       ):
       """simple docstring"""





       lowercase__:    List[Any]        =      z_a.astype("complex64"		)
       for _ in range(snake_case_		):
              lowercase__:    Any        =      eval_function(snake_case_						,       snake_case_		)
              if infinity is not None:
                     numpy.nan_to_num(snake_case_						,       copy=snake_case_						,       nan=snake_case_		)
                     lowercase__:    Union[str, Any]        =      infinity
       return z_n






def     A(  snake_case_						,       snake_case_						,       snake_case_						,       snake_case_						,       ):
       """simple docstring"""





       lowercase__:    Union[str, Any]        =      (abs(snake_case_		)).transpose()
       lowercase__:    List[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     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__":
  UpperCamelCase			=      prepare_grid(window_size, nb_pixels)

  ignore_overflow_warnings()  # See file header for explanations

  UpperCamelCase			=      24
  UpperCamelCase			=      2 * abs(c_cauliflower) + 1
  UpperCamelCase			=      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)

  UpperCamelCase			=      64
  UpperCamelCase			=      2 * abs(c_polynomial_a) + 1
  UpperCamelCase			=      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)

  UpperCamelCase			=      1_61
  UpperCamelCase			=      2 * abs(c_polynomial_a) + 1
  UpperCamelCase			=      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)

  UpperCamelCase			=      12
  UpperCamelCase			=      10_000.0
  UpperCamelCase			=      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)






