code: 
  
  
  
  """simple docstring"""
  import warnings
  from collections.abc import Callable
  from typing import Any
  
  import numpy
  from matplotlib import pyplot
  
  _lowerCAmelCase					:Optional[int]  =      0.25 + 0.0j
  _lowerCAmelCase					:Tuple  =      -0.4 + 0.6j
  _lowerCAmelCase					:str  =      -0.1 + 0.651j
  _lowerCAmelCase					:Optional[int]  =      -2.0
  _lowerCAmelCase					:List[str]  =      56
  _lowerCAmelCase					:List[Any]  =      2.0
  _lowerCAmelCase					:Union[str, Any]  =      666
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	complex  , UpperCamelCase__	:	numpy.ndarray							):
      return numpy.exp(UpperCamelCase__							) + c_parameter
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	complex  , UpperCamelCase__	:	numpy.ndarray							):
      return z_values * z_values + c_parameter
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	float  , UpperCamelCase__	:	int							):
      _UpperCAmelCase							:						Tuple       							=					numpy.linspace(-window_size  , UpperCamelCase__  , UpperCamelCase__							)
      _UpperCAmelCase							:						Any       							=					x.reshape((nb_pixels, 1)							)
      _UpperCAmelCase							:						Union[str, Any]       							=					numpy.linspace(-window_size  , UpperCamelCase__  , UpperCamelCase__							)
      _UpperCAmelCase							:						List[str]       							=					y.reshape((1, nb_pixels)							)
      return x + 1.0J * y
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	Callable[[Any, numpy.ndarray], numpy.ndarray]  , UpperCamelCase__	:	Any  , UpperCamelCase__	:	int  , UpperCamelCase__	:	numpy.ndarray  , UpperCamelCase__	:	float | None = None  , ):
      _UpperCAmelCase							:						Dict       							=					z_a.astype('''complex64'''							)
      for _ in range(UpperCamelCase__							):
          _UpperCAmelCase							:						Optional[Any]       							=					eval_function(UpperCamelCase__  , UpperCamelCase__							)
          if infinity is not None:
              numpy.nan_to_num(UpperCamelCase__  , copy=UpperCamelCase__  , nan=UpperCamelCase__							)
              _UpperCAmelCase							:						List[Any]       							=					infinity
      return z_n
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	str  , UpperCamelCase__	:	Any  , UpperCamelCase__	:	float  , UpperCamelCase__	:	numpy.ndarray  , ):
      _UpperCAmelCase							:						int       							=					(abs(UpperCamelCase__							)).transpose()
      _UpperCAmelCase							:						str       							=					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=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__":
    _lowerCAmelCase					:Optional[int]  =      prepare_grid(window_size, nb_pixels)
  
    ignore_overflow_warnings()  # See file header for explanations
  
    _lowerCAmelCase					:Optional[Any]  =      24
    _lowerCAmelCase					:Optional[int]  =      2 * abs(c_cauliflower) + 1
    _lowerCAmelCase					:Optional[int]  =      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					:Union[str, Any]  =      64
    _lowerCAmelCase					:Optional[int]  =      2 * abs(c_polynomial_a) + 1
    _lowerCAmelCase					:Optional[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)
  
    _lowerCAmelCase					:Optional[Any]  =      161
    _lowerCAmelCase					:Optional[Any]  =      2 * abs(c_polynomial_a) + 1
    _lowerCAmelCase					:Union[str, 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)
  
    _lowerCAmelCase					:Optional[int]  =      12
    _lowerCAmelCase					:Optional[Any]  =      10000.0
    _lowerCAmelCase					:List[str]  =      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"""
  import os
  
  from apache_beam.io.filesystems import FileSystems
  from apache_beam.pipeline import Pipeline
  
  from .logging import get_logger
  
  
  _lowerCAmelCase					:Optional[int]  =      2 << 20  # 2mb
  _lowerCAmelCase					:Union[str, Any]  =      get_logger(__name__)
  class 							_UpperCAmelCase							(				a   ):
  
  
  
  
  
       '''simple docstring'''
  
  
  
       def 				__lowerCAmelCase			(      self	)							->      Any:
           _UpperCAmelCase							:						str       							=					self._options.get_all_options().get('''runner'''	)
           return runner in [None, "DirectRunner", "PortableRunner"]
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	List[str]  , UpperCamelCase__	:	str  , UpperCamelCase__	:	Dict=False							):
      _UpperCAmelCase							:						Union[str, Any]       							=					FileSystems
      if fs.exists(UpperCamelCase__							):
          if force_upload:
              logger.info(F'Remote path already exist: {remote_file_path}. Overwriting it as force_upload=True.'							)
          else:
              logger.info(F'Remote path already exist: {remote_file_path}. Skipping it as force_upload=False.'							)
              return
      with fs.create(UpperCamelCase__							) as remote_file:
          with open(UpperCamelCase__  , '''rb'''							) as local_file:
              _UpperCAmelCase							:						Optional[Any]       							=					local_file.read(UpperCamelCase__							)
              while chunk:
                  remote_file.write(UpperCamelCase__							)
                  _UpperCAmelCase							:						List[Any]       							=					local_file.read(UpperCamelCase__							)
  
  
  
  
  
  def 				lowerCamelCase_		(UpperCamelCase__	:	int  , UpperCamelCase__	:	Dict  , UpperCamelCase__	:	str=False							):
      _UpperCAmelCase							:						int       							=					FileSystems
      if os.path.exists(UpperCamelCase__							):
          if force_download:
              logger.info(F'Local path already exist: {remote_file_path}. Overwriting it as force_upload=True.'							)
          else:
              logger.info(F'Local path already exist: {remote_file_path}. Skipping it as force_upload=False.'							)
              return
      with fs.open(UpperCamelCase__							) as remote_file:
          with open(UpperCamelCase__  , '''wb'''							) as local_file:
              _UpperCAmelCase							:						List[str]       							=					remote_file.read(UpperCamelCase__							)
              while chunk:
                  local_file.write(UpperCamelCase__							)
                  _UpperCAmelCase							:						List[Any]       							=					remote_file.read(UpperCamelCase__							)
  
  
  