






'''simple docstring'''







import colorsys

from PIL import Image  # type: ignore





def 		_UpperCAmelCase   (							__A							:   float						,		__A							:   float						,		__A							:   int      ):
				a_		:  List[Any]											=      x
				a_		:  Dict											=      y
				for step in range(snake_case_      ):  # noqa: B007
								a_		:  Optional[int]											=      a * a - b * b + x
								a_		:  Tuple											=      2 * a * b + y
								a_		:  List[str]											=      a_new

								# divergence happens for all complex number with an absolute value
								# greater than 4
								if a * a + b * b > 4:
												break
				return step / (max_step - 1)





def 		_UpperCAmelCase   (							__A							:   float      ):
				if distance == 1:
								return (0, 0, 0)
				else:
								return (2_55, 2_55, 2_55)





def 		_UpperCAmelCase   (							__A							:   float      ):
				if distance == 1:
								return (0, 0, 0)
				else:
								return tuple(round(i * 2_55      ) for i in colorsys.hsv_to_rgb(snake_case_						,		1						,		1      )      )





def 		_UpperCAmelCase   (							__A							:   int = 8_00						,		__A							:   int = 6_00						,		__A							:   float = -0.6						,		__A							:   float = 0						,		__A							:   float = 3.2						,		__A							:   int = 50						,		__A							:   bool = True						,		):
				a_		:  List[Any]											=      Image.new('''RGB'''						,		(image_width, image_height)      )
				a_		:  Tuple											=      img.load()

				# loop through the image-coordinates
				for image_x in range(snake_case_      ):
								for image_y in range(snake_case_      ):
												# determine the figure-coordinates based on the image-coordinates
												a_		:  List[str]											=      figure_width / image_width * image_height
												a_		:  str											=      figure_center_x + (image_x / image_width - 0.5) * figure_width
												a_		:  str											=      figure_center_y + (image_y / image_height - 0.5) * figure_height

												a_		:  str											=      get_distance(snake_case_						,		snake_case_						,		snake_case_      )

												# color the corresponding pixel based on the selected coloring-function
												if use_distance_color_coding:
																a_		:  int											=      get_color_coded_rgb(snake_case_      )
												else:
																a_		:  Tuple											=      get_black_and_white_rgb(snake_case_      )

				return img


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		# colored version, full figure
		__lowerCAmelCase       		=      get_image()

		# uncomment for colored version, different section, zoomed in
		# img = get_image(figure_center_x = -0.6, figure_center_y = -0.4,
		# figure_width = 0.8)

		# uncomment for black and white version, full figure
		# img = get_image(use_distance_color_coding = False)

		# uncomment to save the image
		# img.save("mandelbrot.png")

		img.show()












'''simple docstring'''







from dataclasses import dataclass, field
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import pyarrow as pa


if TYPE_CHECKING:
		from .features import FeatureType





@dataclass
class 	SCREAMING_SNAKE_CASE					:
			snake_case__  =				42
			snake_case__  =				None
			# Automatically constructed
			snake_case__  =				"dict"
			snake_case__  =				None
			snake_case__  =				field(default="Translation"	,   init=SCREAMING_SNAKE_CASE_	,   repr=SCREAMING_SNAKE_CASE_       )






			def __call__( self      :			Dict					)			->			Tuple:
							return pa.struct({lang: pa.string() for lang in sorted(self.languages					)}					)







			def 			SCREAMING_SNAKE_CASE      ( self      :			Union[str, Any]					)			->			Union["FeatureType", Dict[str, "FeatureType"]]:
							from .features import Value

							return {k: Value('''string'''					) for k in sorted(self.languages					)}





@dataclass
class 	SCREAMING_SNAKE_CASE					:
			snake_case__  =				None
			snake_case__  =				None
			snake_case__  =				None
			# Automatically constructed
			snake_case__  =				"dict"
			snake_case__  =				None
			snake_case__  =				field(default="TranslationVariableLanguages"	,   init=SCREAMING_SNAKE_CASE_	,   repr=SCREAMING_SNAKE_CASE_       )






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			Dict:
							a_		:  List[str]											=      sorted(set(self.languages					)					) if self.languages else None
							a_		:  Optional[Any]											=      len(self.languages					) if self.languages else None






			def __call__( self      :			Any					)			->			Optional[Any]:
							return pa.struct({'''language''': pa.list_(pa.string()					), '''translation''': pa.list_(pa.string()					)}					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Optional[int]  ,						__SCREAMING_SNAKE_CASE      :			Optional[Any]					)			->			Optional[Any]:
							a_		:  str											=      set(self.languages					)
							if self.languages and set(__SCREAMING_SNAKE_CASE					) - lang_set:
											raise ValueError(
											    f'Some languages in example ({", ".join(sorted(set(__SCREAMING_SNAKE_CASE					) - lang_set					)					)}) are not in valid set ({", ".join(__SCREAMING_SNAKE_CASE					)}).'					)

							# Convert dictionary into tuples, splitting out cases where there are
							# multiple translations for a single language.
							a_		:  int											=      []
							for lang, text in translation_dict.items():
											if isinstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					):
															translation_tuples.append((lang, text)					)
											else:
															translation_tuples.extend([(lang, el) for el in text]					)

        # Ensure translations are in ascending order by language code.
							a_				,			a_		:  List[Any]											=      zip(*sorted(__SCREAMING_SNAKE_CASE					)					)

							return {"language": languages, "translation": translations}







			def 			SCREAMING_SNAKE_CASE      ( self      :			Any					)			->			Union["FeatureType", Dict[str, "FeatureType"]]:
							from .features import Sequence, Value

							return {
							    "language": Sequence(Value('''string'''					)					),
							    "translation": Sequence(Value('''string'''					)					),
							}




