



"""simple docstring"""






from unittest import TestCase

from datasets import Sequence, Value
from datasets.arrow_dataset import Dataset

class  __SCREAMING_SNAKE_CASE			(   lowerCAmelCase_     ):


					'''simple docstring'''





					def 	snake_case ( self							:						Optional[int]  )->      Union[str, Any]:
								return [
								    {"col_1": 3, "col_2": "a"},
								    {"col_1": 2, "col_2": "b"},
								    {"col_1": 1, "col_2": "c"},
								    {"col_1": 0, "col_2": "d"},
								]



					def 	snake_case ( self							:						List[Any]  )->      Dict:
								lowerCamelCase__	:	Dict				={'''col_1''': [3, 2, 1, 0], '''col_2''': ['''a''', '''b''', '''c''', '''d''']}
								return Dataset.from_dict(lowerCamelCase  )



					def 	snake_case ( self							:						Optional[int]  )->      Optional[int]:
								lowerCamelCase__	:	Dict				=self._create_example_records()
								lowerCamelCase__	:	int				=Dataset.from_list(lowerCamelCase  )
								self.assertListEqual(dset.column_names,						['''col_1''', '''col_2''']  )
								for i, r in enumerate(lowerCamelCase  ):
											self.assertDictEqual(lowerCamelCase,						example_records[i]  )



					def 	snake_case ( self							:						Optional[Any]  )->      List[Any]:
								lowerCamelCase__	:	Union[str, Any]				=self._create_example_records()
								lowerCamelCase__	:	Tuple				=Dataset.from_list(lowerCamelCase  )
								lowerCamelCase__	:	int				=Dataset.from_dict({k: [r[k] for r in example_records] for k in example_records[0]}  )
								self.assertEqual(dset.info,						dset_from_dict.info  )



					def 	snake_case ( self							:						int  )->      Tuple:  # checks what happens with missing columns
								lowerCamelCase__	:	Union[str, Any]				=[{'''col_1''': 1}, {'''col_2''': '''x'''}]
								lowerCamelCase__	:	Optional[int]				=Dataset.from_list(lowerCamelCase  )
								self.assertDictEqual(dset[0],						{'''col_1''': 1}  )
								self.assertDictEqual(dset[1],						{'''col_1''': None}  )  # NB: first record is used for columns



					def 	snake_case ( self							:						Any  )->      Dict:  # checks if the type can be inferred from the second record
								lowerCamelCase__	:	Tuple				=[{'''col_1''': []}, {'''col_1''': [1, 2]}]
								lowerCamelCase__	:	Optional[int]				=Dataset.from_list(lowerCamelCase  )
								self.assertEqual(dset.info.features['''col_1'''],						Sequence(Value('''int64'''  )  )  )




					def 	snake_case ( self							:						Optional[Any]  )->      Optional[int]:
								lowerCamelCase__	:	int				=Dataset.from_list([]  )
								self.assertEqual(len(lowerCamelCase  ),						0  )
								self.assertListEqual(dset.column_names,						[]  )









"""simple docstring"""






import colorsys

from PIL import Image  # type: ignore






def   snake_case__     (	__lowerCamelCase       :					float							,	__lowerCamelCase       :					float							,	__lowerCamelCase       :					int			):
			"""simple docstring"""
			lowerCamelCase__	:	Optional[Any]				=x
			lowerCamelCase__	:	Any				=y
			for step in range(__lowerCamelCase			):  # noqa: B007
						lowerCamelCase__	:	List[Any]				=a * a - b * b + x
						lowerCamelCase__	:	Optional[int]				=2 * a * b + y
						lowerCamelCase__	:	Union[str, Any]				=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   snake_case__     (	__lowerCamelCase       :					float			):
			"""simple docstring"""
			if distance == 1:
						return (0, 0, 0)
			else:
						return (255, 255, 255)






def   snake_case__     (	__lowerCamelCase       :					float			):
			"""simple docstring"""
			if distance == 1:
						return (0, 0, 0)
			else:
						return tuple(round(i * 255			) for i in colorsys.hsv_to_rgb(__lowerCamelCase							,	1							,	1			)			)






def   snake_case__     (	__lowerCamelCase       :					int = 800							,	__lowerCamelCase       :					int = 600							,	__lowerCamelCase       :					float = -0.6							,	__lowerCamelCase       :					float = 0							,	__lowerCamelCase       :					float = 3.2							,	__lowerCamelCase       :					int = 50							,	__lowerCamelCase       :					bool = True							,	):
			"""simple docstring"""
			lowerCamelCase__	:	Optional[Any]				=Image.new('''RGB'''							,	(image_width, image_height)			)
			lowerCamelCase__	:	Optional[int]				=img.load()

			# loop through the image-coordinates
			for image_x in range(__lowerCamelCase			):
						for image_y in range(__lowerCamelCase			):
									# determine the figure-coordinates based on the image-coordinates
									lowerCamelCase__	:	Optional[Any]				=figure_width / image_width * image_height
									lowerCamelCase__	:	Dict				=figure_center_x + (image_x / image_width - 0.5) * figure_width
									lowerCamelCase__	:	Optional[int]				=figure_center_y + (image_y / image_height - 0.5) * figure_height

									lowerCamelCase__	:	Any				=get_distance(__lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase			)

									# color the corresponding pixel based on the selected coloring-function
									if use_distance_color_coding:
												lowerCamelCase__	:	int				=get_color_coded_rgb(__lowerCamelCase			)
									else:
												lowerCamelCase__	:	Optional[int]				=get_black_and_white_rgb(__lowerCamelCase			)

			return img


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		# colored version, full figure
		_lowercase				:				Optional[Any]   		=		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()




