code: 
  
  
  
  
  
  '''simple docstring'''
  
  import warnings
  from collections.abc import Callable
  from typing import Any
  
  import numpy
  from matplotlib import pyplot
  
  lowercase_			       =				0.2_5 + 0.0j
  lowercase_			       =				-0.4 + 0.6j
  lowercase_			       =				-0.1 + 0.651j
  lowercase_			       =				-2.0
  lowercase_			       =				56
  lowercase_			       =				2.0
  lowercase_			       =				666
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					Optional[Any]      , __lowerCamelCase				:					Any					)		->numpy.ndarray:
      return numpy.exp(_UpperCAmelCase					) + c_parameter
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int      , __lowerCamelCase				:					Dict					)		->numpy.ndarray:
      return z_values * z_values + c_parameter
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					Union[str, Any]      , __lowerCamelCase				:					Tuple					)		->numpy.ndarray:
      _SCREAMING_SNAKE_CASE             =    numpy.linspace(-window_size      , _UpperCAmelCase      , _UpperCAmelCase					)
      _SCREAMING_SNAKE_CASE             =    x.reshape((nb_pixels, 1)					)
      _SCREAMING_SNAKE_CASE             =    numpy.linspace(-window_size      , _UpperCAmelCase      , _UpperCAmelCase					)
      _SCREAMING_SNAKE_CASE             =    y.reshape((1, nb_pixels)					)
      return x + 1.0j * y
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int      , __lowerCamelCase				:					Optional[int]      , __lowerCamelCase				:					str      , __lowerCamelCase				:					Optional[Any]      , __lowerCamelCase				:					List[Any] = None      , )		->numpy.ndarray:
      _SCREAMING_SNAKE_CASE             =    z_a.astype("""complex64"""					)
      for _ in range(_UpperCAmelCase					):
          _SCREAMING_SNAKE_CASE             =    eval_function(_UpperCAmelCase      , _UpperCAmelCase					)
          if infinity is not None:
              numpy.nan_to_num(_UpperCAmelCase      , copy=_UpperCAmelCase      , nan=_UpperCAmelCase					)
              _SCREAMING_SNAKE_CASE             =    infinity
      return z_n
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					Tuple      , __lowerCamelCase				:					int      , __lowerCamelCase				:					Optional[Any]      , __lowerCamelCase				:					Union[str, Any]      , )		->None:
      _SCREAMING_SNAKE_CASE             =    (abs(_UpperCAmelCase					)).transpose()
      _SCREAMING_SNAKE_CASE             =    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		(  )		->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_			       =				prepare_grid(window_size, nb_pixels)
  
         ignore_overflow_warnings()  # See file header for explanations
  
         lowercase_			       =				24
         lowercase_			       =				2 * abs(c_cauliflower) + 1
         lowercase_			       =				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_			       =				64
         lowercase_			       =				2 * abs(c_polynomial_a) + 1
         lowercase_			       =				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_			       =				161
         lowercase_			       =				2 * abs(c_polynomial_a) + 1
         lowercase_			       =				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_			       =				12
         lowercase_			       =				10_000.0
         lowercase_			       =				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)
  
  
  
  
style_context: 
  
  
  
  
  
  '''simple docstring'''
  
  def lowerCamelCase		(  __lowerCamelCase				:					float      , __lowerCamelCase				:					float      , __lowerCamelCase				:					float					)		->list[int]:
      if hue < 0 or hue > 360:
          raise Exception("""hue should be between 0 and 360"""					)
  
      if saturation < 0 or saturation > 1:
          raise Exception("""saturation should be between 0 and 1"""					)
  
      if value < 0 or value > 1:
          raise Exception("""value should be between 0 and 1"""					)
  
      _SCREAMING_SNAKE_CASE             =    value * saturation
      _SCREAMING_SNAKE_CASE             =    hue / 60
      _SCREAMING_SNAKE_CASE             =    chroma * (1 - abs(hue_section % 2 - 1					))
      _SCREAMING_SNAKE_CASE             =    value - chroma
  
      if hue_section >= 0 and hue_section <= 1:
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
      elif hue_section > 1 and hue_section <= 2:
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
      elif hue_section > 2 and hue_section <= 3:
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
      elif hue_section > 3 and hue_section <= 4:
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
      elif hue_section > 4 and hue_section <= 5:
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
      else:
          _SCREAMING_SNAKE_CASE             =    round(255 * (chroma + match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (match_value)					)
          _SCREAMING_SNAKE_CASE             =    round(255 * (second_largest_component + match_value)					)
  
      return [red, green, blue]
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int      , __lowerCamelCase				:					int      , __lowerCamelCase				:					int					)		->list[float]:
      if red < 0 or red > 255:
          raise Exception("""red should be between 0 and 255"""					)
  
      if green < 0 or green > 255:
          raise Exception("""green should be between 0 and 255"""					)
  
      if blue < 0 or blue > 255:
          raise Exception("""blue should be between 0 and 255"""					)
  
      _SCREAMING_SNAKE_CASE             =    red / 255
      _SCREAMING_SNAKE_CASE             =    green / 255
      _SCREAMING_SNAKE_CASE             =    blue / 255
      _SCREAMING_SNAKE_CASE             =    max(__lowerCamelCase      , __lowerCamelCase      , __lowerCamelCase					)
      _SCREAMING_SNAKE_CASE             =    value - min(__lowerCamelCase      , __lowerCamelCase      , __lowerCamelCase					)
      _SCREAMING_SNAKE_CASE             =    0 if value == 0 else chroma / value
  
      if chroma == 0:
          _SCREAMING_SNAKE_CASE             =    0.0
      elif value == float_red:
          _SCREAMING_SNAKE_CASE             =    60 * (0 + (float_green - float_blue) / chroma)
      elif value == float_green:
          _SCREAMING_SNAKE_CASE             =    60 * (2 + (float_blue - float_red) / chroma)
      else:
          _SCREAMING_SNAKE_CASE             =    60 * (4 + (float_red - float_green) / chroma)
  
      _SCREAMING_SNAKE_CASE             =    (hue + 360) % 360
  
      return [hue, saturation, value]
  
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					list[float]      , __lowerCamelCase				:					list[float]					)		->bool:
      _SCREAMING_SNAKE_CASE             =    abs(hsv_a[0] - hsv_a[0]					) < 0.2
      _SCREAMING_SNAKE_CASE             =    abs(hsv_a[1] - hsv_a[1]					) < 0.002
      _SCREAMING_SNAKE_CASE             =    abs(hsv_a[2] - hsv_a[2]					) < 0.002
  
      return check_hue and check_saturation and check_value
  
  
  
  