


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

import numpy
from matplotlib import pyplot

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




def   snake_case_	(    snake_case     ,				snake_case	)    ->							numpy.ndarray:
       return numpy.exp(snake_case	) + c_parameter




def   snake_case_	(    snake_case     ,				snake_case	)    ->							numpy.ndarray:
       return z_values * z_values + c_parameter




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




def   snake_case_	(    snake_case     ,				snake_case     ,				snake_case     ,				snake_case     ,				snake_case = None     ,				)    ->							numpy.ndarray:
       lowercase__:  List[Any]         =  z_a.astype('complex64'	)
       for _ in range(snake_case	):
              lowercase__:  Union[str, 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__:  int         =  infinity
       return z_n




def   snake_case_	(    snake_case     ,				snake_case     ,				snake_case     ,				snake_case     ,				)    ->							None:
       lowercase__:  Union[str, Any]         =  (abs(snake_case	)).transpose()
       lowercase__:  Dict         =  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_	(    )    ->							None:
       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__":
 __lowerCAmelCase									=				prepare_grid(window_size, nb_pixels)

 ignore_overflow_warnings()  # See file header for explanations

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

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

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

 __lowerCAmelCase									=				12
 __lowerCAmelCase									=				10000.0
 __lowerCAmelCase									=				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)






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





class     __a     (       __UpperCamelCase ):
 def __init__(  self							,					*lowerCAmelCase__							,					**lowerCAmelCase__					)   ->							Any:




        '''simple docstring'''
        super().__init__(*lowerCAmelCase__							,					**lowerCAmelCase__					)
 def 						SCREAMING_SNAKE_CASE__  (  self							,					lowerCAmelCase__							,					lowerCAmelCase__					)   ->							Union[str, Any]:




        '''simple docstring'''
        lowercase__:  str         =  (
            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 						SCREAMING_SNAKE_CASE__  (  self							,					lowerCAmelCase__							,					lowerCAmelCase__							,					lowerCAmelCase__					)   ->							Union[str, Any]:




        '''simple docstring'''
        return (increment * self.__hash_function_a(lowerCAmelCase__							,					lowerCAmelCase__					)) % self.size_table
 def 						SCREAMING_SNAKE_CASE__  (  self							,					lowerCAmelCase__							,					lowerCAmelCase__=None					)   ->							str:




        '''simple docstring'''
        lowercase__:  Dict         =  1
        lowercase__:  str         =  self.hash_function(lowerCAmelCase__					)

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

        return new_key


