






from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
__snake_case			:			Optional[int]			   =   20

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


class 			__SCREAMING_SNAKE_CASE    :






						def __init__(		self   ,  _UpperCamelCase   ,  _UpperCamelCase   ,  _UpperCamelCase   ,  _UpperCamelCase   ,  _UpperCamelCase = 1.0   ,  _UpperCamelCase = 1.0   ,  _UpperCamelCase = "blue"   ,  ):






												"""simple docstring"""
												lowerCAmelCase__			  =  position_x
												lowerCAmelCase__			  =  position_y
												lowerCAmelCase__			  =  velocity_x
												lowerCAmelCase__			  =  velocity_y
												lowerCAmelCase__			  =  mass
												lowerCAmelCase__			  =  size
												lowerCAmelCase__			  =  color






						@property
						def 					UpperCamelCase__					(		self      ):






												"""simple docstring"""
												return self.position_x, self.position_y






						@property
						def 					UpperCamelCase__					(		self      ):






												"""simple docstring"""
												return self.velocity_x, self.velocity_y






						def 					UpperCamelCase__					(		self   ,  _UpperCamelCase   ,  _UpperCamelCase   ,  _UpperCamelCase      ):






												"""simple docstring"""
												self.velocity_x += force_x * delta_time
												self.velocity_y += force_y * delta_time







						def 					UpperCamelCase__					(		self   ,  _UpperCamelCase      ):






												"""simple docstring"""
												self.position_x += self.velocity_x * delta_time
												self.position_y += self.velocity_y * delta_time




class 			__SCREAMING_SNAKE_CASE    :






						def __init__(		self   ,  _UpperCamelCase   ,  _UpperCamelCase = 1.0   ,  _UpperCamelCase = 1.0   ,  _UpperCamelCase = 0.0   ,  ):






												"""simple docstring"""
												lowerCAmelCase__			  =  bodies
												lowerCAmelCase__			  =  gravitation_constant
												lowerCAmelCase__			  =  time_factor
												lowerCAmelCase__			  =  softening_factor






						def __len__(		self      ):






												"""simple docstring"""
												return len(self.bodies      )







						def 					UpperCamelCase__					(		self   ,  _UpperCamelCase      ):






												"""simple docstring"""



												for bodya in self.bodies:
																		lowerCAmelCase__			  =  0.0
																		lowerCAmelCase__			  =  0.0
																		for bodya in self.bodies:
																								if bodya != bodya:
																														lowerCAmelCase__			  =  bodya.position_x - bodya.position_x
																														lowerCAmelCase__			  =  bodya.position_y - bodya.position_y

																														# Calculation of the distance using Pythagoras's theorem
																														# Extra factor due to the softening technique
																														lowerCAmelCase__			  =  (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(_UpperCamelCase   ,  _UpperCamelCase   ,  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 		_UpperCamelCase      (			UpperCamelCase_				:    str			,				UpperCamelCase_				:    Any			,				UpperCamelCase_				:    Union[str, Any]						)     ->      None:

						"""simple docstring"""



						body_system.update_system(__UpperCamelCase						)

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







def 		_UpperCamelCase      (			UpperCamelCase_				:    Any			,				UpperCamelCase_				:    Optional[int]			,				UpperCamelCase_				:    Union[str, Any] = -1			,				UpperCamelCase_				:    Tuple = 1			,				UpperCamelCase_				:    Optional[int] = -1			,				UpperCamelCase_				:    Dict = 1			,				)     ->      None:

						"""simple docstring"""



						lowerCAmelCase__			  =  plt.figure()
						fig.canvas.set_window_title(__UpperCamelCase						)
						lowerCAmelCase__			  =  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
						lowerCAmelCase__			  =  [
						    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(__UpperCamelCase						)

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

						lowerCAmelCase__			  =  animation.FuncAnimation(  # noqa: F841
						    __UpperCamelCase			,				__UpperCamelCase			,				interval=__UpperCamelCase			,				blit=__UpperCamelCase						)

						plt.show()







def 		_UpperCamelCase      (			)     ->      BodySystem:

						"""simple docstring"""



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

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







def 		_UpperCamelCase      (			)     ->      BodySystem:

						"""simple docstring"""



						lowerCAmelCase__			  =  7.3476e22
						lowerCAmelCase__			  =  5.972e24
						lowerCAmelCase__			  =  1022
						lowerCAmelCase__			  =  3_8439_9000
						lowerCAmelCase__			  =  6.674e-11

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

						lowerCAmelCase__			  =  Body(-earth_moon_distance			,				0			,				0			,				__UpperCamelCase			,				__UpperCamelCase			,				1000_0000			,				'grey'						)
						lowerCAmelCase__			  =  Body(0			,				0			,				0			,				__UpperCamelCase			,				__UpperCamelCase			,				5000_0000			,				'blue'						)
						return BodySystem([earth, moon]			,				__UpperCamelCase			,				time_factor=100_0000						)







def 		_UpperCamelCase      (			)     ->      BodySystem:

						"""simple docstring"""



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











import warnings

from ...utils import logging
from .image_processing_mobilenet_va import MobileNetVaImageProcessor


lowercase__      :			Union[str, Any]           =					logging.get_logger(__name__)




class 			a__       (					UpperCamelCase__      ):







     def __init__(	self  ,		*A  ,		**A )  ->    None:



          '''simple docstring'''



          warnings.warn(
              "The class MobileNetV2FeatureExtractor is deprecated and will be removed in version 5 of Transformers."
              " Please use MobileNetV2ImageProcessor instead."  ,		A  ,		)
          super().__init__(*A  ,		**A )

