


'''simple docstring'''
from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
__magic_name__   :   Dict  							=20

# Time between time steps in seconds
__magic_name__   :   List[Any]  							=INTERVAL / 10_00






class 		UpperCamelCase_		:





						"""simple docstring"""




						def __init__( self				:					Tuple	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float = 1.0	,				_lowerCamelCase				:					float = 1.0	,				_lowerCamelCase				:					str = "blue"	,				)							->					None:
										__magic_name__	  = position_x
										__magic_name__	  = position_y
										__magic_name__	  = velocity_x
										__magic_name__	  = velocity_y
										__magic_name__	  = mass
										__magic_name__	  = size
										__magic_name__	  = color
						@property
						def 					__A					( self				:					Tuple  )							->					tuple[float, float]:
										return self.position_x, self.position_y
						@property
						def 					__A					( self				:					List[Any]  )							->					tuple[float, float]:
										return self.velocity_x, self.velocity_y
						def 					__A					( self				:					Any	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float	,				_lowerCamelCase				:					float  )							->					None:
										self.velocity_x += force_x * delta_time
										self.velocity_y += force_y * delta_time

						def 					__A					( self				:					Optional[Any]	,				_lowerCamelCase				:					float  )							->					None:
										self.position_x += self.velocity_x * delta_time
										self.position_y += self.velocity_y * delta_time






class 		UpperCamelCase_		:





						"""simple docstring"""




						def __init__( self				:					Dict	,				_lowerCamelCase				:					list[Body]	,				_lowerCamelCase				:					float = 1.0	,				_lowerCamelCase				:					float = 1.0	,				_lowerCamelCase				:					float = 0.0	,				)							->					None:
										__magic_name__	  = bodies
										__magic_name__	  = gravitation_constant
										__magic_name__	  = time_factor
										__magic_name__	  = softening_factor
						def __len__( self				:					Tuple  )							->					int:
										return len(self.bodies  )

						def 					__A					( self				:					List[Any]	,				_lowerCamelCase				:					float  )							->					None:
										for bodya in self.bodies:
														__magic_name__	  = 0.0
														__magic_name__	  = 0.0
														for bodya in self.bodies:
																		if bodya != bodya:
																						__magic_name__	  = bodya.position_x - bodya.position_x
																						__magic_name__	  = bodya.position_y - bodya.position_y

																						# Calculation of the distance using Pythagoras's theorem
																						# Extra factor due to the softening technique
																						__magic_name__	  = (dif_x**2 + dif_y**2 + self.softening_factor) ** (
																						    1 / 2
																						)

																						# Newton's law of universal gravitation.
																						force_x += (
																						    self.gravitation_constant * bodya.mass * dif_x / distance**3
																						)
																						force_y += (
																						    self.gravitation_constant * bodya.mass * dif_y / distance**3
																						)

            # Update the body's velocity once all the force components have been added
														bodya.update_velocity(_lowerCamelCase	,				_lowerCamelCase	,				delta_time * self.time_factor  )

										# Update the positions only after all the velocities have been updated
										for body in self.bodies:
														body.update_position(delta_time * self.time_factor  )





def      __snake_case       (       lowerCamelCase_ :				BodySystem	,  lowerCamelCase_ :				float	,  lowerCamelCase_ :				list[plt.Circle]						):
				'''simple docstring'''




				body_system.update_system(lowerCamelCase_						)

				# Update the positions of the patches
				for patch, body in zip(lowerCamelCase_	,  body_system.bodies						):
								__magic_name__	  = (body.position_x, body.position_y)




def      __snake_case       (       lowerCamelCase_ :				str	,  lowerCamelCase_ :				BodySystem	,  lowerCamelCase_ :				float = -1	,  lowerCamelCase_ :				float = 1	,  lowerCamelCase_ :				float = -1	,  lowerCamelCase_ :				float = 1	,  ):
				'''simple docstring'''




				__magic_name__	  = plt.figure()
				fig.canvas.set_window_title(lowerCamelCase_						)
				__magic_name__	  = plt.axes(
				    xlim=(x_start, x_end)	,  ylim=(y_start, y_end)						)  # Set section to be plotted
				plt.gca().set_aspect("equal"						)  # Fix aspect ratio

				# Each body is drawn as a patch by the plt-function
				__magic_name__	  = [
				    plt.Circle((body.position_x, body.position_y)	,  body.size	,  fc=body.color						)
				    for body in body_system.bodies
				]

				for patch in patches:
								ax.add_patch(lowerCamelCase_						)

				# Function called at each step of the animation
				def update(lowerCamelCase_ :				int						) -> list[plt.Circle]:
								update_step(lowerCamelCase_	,  lowerCamelCase_	,  lowerCamelCase_						)
								return patches

				__magic_name__	  = animation.FuncAnimation(  # noqa: F841
				    lowerCamelCase_	,  lowerCamelCase_	,  interval=lowerCamelCase_	,  blit=lowerCamelCase_						)

				plt.show()




def      __snake_case       (       ):
				'''simple docstring'''




				__magic_name__	  = 0.970_0436
				__magic_name__	  = -0.2430_8753
				__magic_name__	  = 0.4_6620_3685
				__magic_name__	  = 0.4323_6573

				__magic_name__	  = [
				    Body(lowerCamelCase_	,  lowerCamelCase_	,  lowerCamelCase_	,  lowerCamelCase_	,  size=0.2	,  color="red"						),
				    Body(-position_x	,  -position_y	,  lowerCamelCase_	,  lowerCamelCase_	,  size=0.2	,  color="green"						),
				    Body(0	,  0	,  -2 * velocity_x	,  -2 * velocity_y	,  size=0.2	,  color="blue"						),
				]
				return BodySystem(lowerCamelCase_	,  time_factor=3						)




def      __snake_case       (       ):
				'''simple docstring'''




				__magic_name__	  = 7.3_476e22
				__magic_name__	  = 5.972e24
				__magic_name__	  = 1022
				__magic_name__	  = 3_8439_9000
				__magic_name__	  = 6.674e-11

				# Calculation of the respective velocities so that total impulse is zero,
				# i.e. the two bodies together don't move
				__magic_name__	  = earth_mass * velocity_dif / (earth_mass + moon_mass)
				__magic_name__	  = moon_velocity - velocity_dif

				__magic_name__	  = Body(-earth_moon_distance	,  0	,  0	,  lowerCamelCase_	,  lowerCamelCase_	,  1000_0000	,  "grey"						)
				__magic_name__	  = Body(0	,  0	,  0	,  lowerCamelCase_	,  lowerCamelCase_	,  5000_0000	,  "blue"						)
				return BodySystem([earth, moon]	,  lowerCamelCase_	,  time_factor=100_0000						)




def      __snake_case       (       ):
				'''simple docstring'''




				__magic_name__	  = []
				for _ in range(10						):
								__magic_name__	  = random.uniform(-0.5	,  0.5						)
								__magic_name__	  = random.uniform(-0.5	,  0.5						)

								# Bodies are created pairwise with opposite velocities so that the
								# total impulse remains zero
								bodies.append(
								    Body(
								        random.uniform(-0.5	,  0.5						)	,  random.uniform(-0.5	,  0.5						)	,  lowerCamelCase_	,  lowerCamelCase_	,  size=0.05	,  )						)
								bodies.append(
								    Body(
								        random.uniform(-0.5	,  0.5						)	,  random.uniform(-0.5	,  0.5						)	,  -velocity_x	,  -velocity_y	,  size=0.05	,  )						)
				return BodySystem(lowerCamelCase_	,  0.01	,  10	,  0.1						)


if __name__ == "__main__":
						plot('Figure-8 solution to the 3-body-problem', example_a(), -2, 2, -2, 2)
						plot(
						    'Moon\'s orbit around the earth',
						    example_a(),
						    -4_30_00_00_00,
						    4_30_00_00_00,
						    -4_30_00_00_00,
						    4_30_00_00_00,
						)
						plot('Random system with many bodies', example_a(), -1.5, 1.5, -1.5, 1.5)







'''simple docstring'''
import warnings

from ...utils import logging
from .image_processing_convnext import ConvNextImageProcessor


__magic_name__   :   int  							=logging.get_logger(__name__)






class 		UpperCamelCase_		(					A   ):





						"""simple docstring"""




						def __init__( self				:					List[str]	,				*_lowerCamelCase				:					List[str]	,				**_lowerCamelCase				:					Optional[Any]  )							->					None:
										warnings.warn(
										    "The class ConvNextFeatureExtractor is deprecated and will be removed in version 5 of Transformers."
										    " Please use ConvNextImageProcessor instead."	,				_lowerCamelCase	,				)
										super().__init__(*_lowerCamelCase	,				**_lowerCamelCase  )



