



"""simple docstring"""






from manim import *

class  __SCREAMING_SNAKE_CASE			(   UpperCamelCase_     ):


					'''simple docstring'''





					def 	snake_case ( self							:						Optional[Any]  )->      Any:
								lowerCamelCase__	:	Any				=Rectangle(height=0.5,						width=0.5  )
								lowerCamelCase__	:	str				=Rectangle(height=0.46,						width=0.46  ).set_stroke(width=0  )

								lowerCamelCase__	:	List[str]				=[mem.copy() for i in range(6  )]
								lowerCamelCase__	:	Optional[Any]				=[mem.copy() for i in range(6  )]
								lowerCamelCase__	:	List[str]				=VGroup(*_a  ).arrange(_a,						buff=0  )
								lowerCamelCase__	:	Union[str, Any]				=VGroup(*_a  ).arrange(_a,						buff=0  )
								lowerCamelCase__	:	Tuple				=VGroup(_a,						_a  ).arrange(_a,						buff=0  )
								lowerCamelCase__	:	int				=Text('''CPU''',						font_size=24  )
								lowerCamelCase__	:	List[str]				=Group(_a,						_a  ).arrange(_a,						buff=0.5,						aligned_edge=_a  )
								cpu.move_to([-2.5, -0.5, 0]  )
								self.add(_a  )

								lowerCamelCase__	:	List[Any]				=[mem.copy() for i in range(1  )]
								lowerCamelCase__	:	str				=VGroup(*_a  ).arrange(_a,						buff=0  )
								lowerCamelCase__	:	List[str]				=Text('''GPU''',						font_size=24  )
								lowerCamelCase__	:	List[Any]				=Group(_a,						_a  ).arrange(_a,						buff=0.5,						aligned_edge=_a  )
								gpu.align_to(_a,						_a  )
								gpu.set_x(gpu.get_x() - 1  )

								self.add(_a  )

								lowerCamelCase__	:	List[str]				=[mem.copy() for i in range(6  )]
								lowerCamelCase__	:	Optional[int]				=VGroup(*_a  ).arrange(_a,						buff=0  )

								lowerCamelCase__	:	Union[str, Any]				=Text('''Model''',						font_size=24  )
								lowerCamelCase__	:	int				=Group(_a,						_a  ).arrange(_a,						buff=0.5,						aligned_edge=_a  )
								model.move_to([3, -1.0, 0]  )

								self.play(
								    Create(_a,						run_time=1  ),						Create(_a,						run_time=1  ),						Create(_a,						run_time=1  ),						)

								lowerCamelCase__	:	Union[str, Any]				=MarkupText(
								    F'''First, an empty model skeleton is loaded\ninto <span fgcolor=\'{YELLOW}\'>memory</span> without using much RAM.''',						font_size=24,						)

								lowerCamelCase__	:	Optional[int]				=Square(side_length=2.2  )
								key.move_to([-5, 2, 0]  )

								lowerCamelCase__	:	int				=MarkupText(
								    F'''<b>Key:</b>\n\n<span fgcolor=\'{YELLOW}\'>●</span> Empty Model''',						font_size=18,						)

								key_text.move_to([-5, 2.4, 0]  )

								step_a.move_to([2, 2, 0]  )
								self.play(Write(_a,						run_time=2.5  ),						Write(_a  ),						Write(_a  )  )

								self.add(_a  )

								lowerCamelCase__	:	List[str]				=[]
								lowerCamelCase__	:	str				=[]
								lowerCamelCase__	:	Optional[Any]				=[]
								for i, rect in enumerate(_a  ):
											lowerCamelCase__	:	Tuple				=Rectangle(height=0.46,						width=0.46  ).set_stroke(width=0.0  ).set_fill(_a,						opacity=0.7  )
											cpu_target.move_to(_a  )
											cpu_target.generate_target()
											lowerCamelCase__	:	Optional[int]				=0.46 / 4
											lowerCamelCase__	:	List[Any]				=0.46 / 3

											if i == 0:
														cpu_target.target.next_to(cpu_left_col_base[0].get_corner(DOWN + LEFT  ),						buff=0.02,						direction=_a  )
														cpu_target.target.set_x(cpu_target.target.get_x() + 0.1  )
											elif i == 3:
														cpu_target.target.next_to(cpu_targs[0].target,						direction=_a,						buff=0.0  )
											else:
														cpu_target.target.next_to(cpu_targs[i - 1].target,						direction=_a,						buff=0.0  )
											cpu_targs.append(_a  )

											first_animations.append(rect.animate(run_time=0.5  ).set_stroke(_a  )  )
											second_animations.append(MoveToTarget(_a,						run_time=1.5  )  )

								self.play(*_a  )
								self.play(*_a  )

								self.wait()









"""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()




