




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

import numpy
from matplotlib import pyplot

lowercase__      :			Optional[Any]           =					0.25 + 0.0j
lowercase__      :			str           =					-0.4 + 0.6j
lowercase__      :			Dict           =					-0.1 + 0.6_51j
lowercase__      :			List[str]           =					-2.0
lowercase__      :			List[str]           =					56
lowercase__      :			int           =					2.0
lowercase__      :			int           =					666

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase		,					__UpperCamelCase)			->     numpy.ndarray:
     return numpy.exp(__UpperCamelCase) + c_parameter

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase		,					__UpperCamelCase)			->     numpy.ndarray:
     return z_values * z_values + c_parameter

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase		,					__UpperCamelCase)			->     numpy.ndarray:
     a      =      numpy.linspace(-window_size		,					__UpperCamelCase		,					__UpperCamelCase)
     a      =      x.reshape((nb_pixels, 1))
     a      =      numpy.linspace(-window_size		,					__UpperCamelCase		,					__UpperCamelCase)
     a      =      y.reshape((1, nb_pixels))
     return x + 1.0j * y

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase		,					__UpperCamelCase		,					__UpperCamelCase		,					__UpperCamelCase		,					__UpperCamelCase = None		,					)			->     numpy.ndarray:
     a      =      z_a.astype("complex64")
     for _ in range(__UpperCamelCase):
          a      =      eval_function(__UpperCamelCase		,					__UpperCamelCase)
          if infinity is not None:
               numpy.nan_to_num(__UpperCamelCase		,					copy=__UpperCamelCase		,					nan=__UpperCamelCase)
               a      =      infinity
     return z_n

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase		,					__UpperCamelCase		,					__UpperCamelCase		,					__UpperCamelCase		,					)			->     None:
     a      =      (abs(__UpperCamelCase)).transpose()
     a      =      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 					SCREAMING_SNAKE_CASE							(   )			->     None:
     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__":
   lowercase__      :			Tuple           =					prepare_grid(window_size, nb_pixels)

   ignore_overflow_warnings()  # See file header for explanations

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

   lowercase__      :			List[str]           =					64
   lowercase__      :			List[Any]           =					2 * abs(c_polynomial_a) + 1
   lowercase__      :			Tuple           =					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)

   lowercase__      :			Tuple           =					161
   lowercase__      :			int           =					2 * abs(c_polynomial_a) + 1
   lowercase__      :			List[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)

   lowercase__      :			Optional[int]           =					12
   lowercase__      :			Optional[int]           =					1_0000.0
   lowercase__      :			Tuple           =					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)







def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase)			->     list:
     a      =      []
     a      =      1

     for i in range(len(__UpperCamelCase)):
          if i + 1 < len(__UpperCamelCase) and text[i] == text[i + 1]:
               count += 1
          else:
               encoded.append((text[i], count))
               a      =      1

     return encoded

def 					SCREAMING_SNAKE_CASE							(   __UpperCamelCase)			->     str:
     return "".join(char * length for char, length in encoded)


if __name__ == "__main__":
   from doctest import testmod

   testmod(name="run_length_encode", verbose=True)
   testmod(name="run_length_decode", verbose=True)

