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__      		=					666






def  __lowerCamelCase						(		lowerCAmelCase__      ,    lowerCAmelCase__      ):
       return numpy.exp(lowercase__      ) + c_parameter






def  __lowerCamelCase						(		lowerCAmelCase__      ,    lowerCAmelCase__      ):
       return z_values * z_values + c_parameter






def  __lowerCamelCase						(		lowerCAmelCase__      ,    lowerCAmelCase__      ):
       lowerCAmelCase__	      =   numpy.linspace(-window_size      ,    lowercase__      ,    lowercase__      )
       lowerCAmelCase__	      =   x.reshape((nb_pixels, 1)      )
       lowerCAmelCase__	      =   numpy.linspace(-window_size      ,    lowercase__      ,    lowercase__      )
       lowerCAmelCase__	      =   y.reshape((1, nb_pixels)      )
       return x + 1.0j * y






def  __lowerCamelCase						(		lowerCAmelCase__      ,    lowerCAmelCase__      ,    lowerCAmelCase__      ,    lowerCAmelCase__      ,    lowerCAmelCase__ = None      ,    ):
       lowerCAmelCase__	      =   z_a.astype('complex64'      )
       for _ in range(lowercase__      ):
              lowerCAmelCase__	      =   eval_function(lowercase__      ,    lowercase__      )
              if infinity is not None:
                     numpy.nan_to_num(lowercase__      ,    copy=lowercase__      ,    nan=lowercase__      )
                     lowerCAmelCase__	      =   infinity
       return z_n






def  __lowerCamelCase						(		lowerCAmelCase__      ,    lowerCAmelCase__      ,    lowerCAmelCase__      ,    lowerCAmelCase__      ,    ):
       lowerCAmelCase__	      =   (abs(lowercase__      )).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  __lowerCamelCase						(		):
       warnings.filterwarnings(
           'ignore'      ,    category=lowercase__      ,    message='overflow encountered in multiply'      )
       warnings.filterwarnings(
           'ignore'      ,    category=lowercase__      ,    message='invalid value encountered in multiply'      ,    )
       warnings.filterwarnings(
           'ignore'      ,    category=lowercase__      ,    message='overflow encountered in absolute'      )
       warnings.filterwarnings(
           'ignore'      ,    category=lowercase__      ,    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__      		=					161
    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=1.0e1_0,
    )
    show_results('e^z+c', c_exponential, escape_radius, z_final)





from .prime_check import Test

Test()

