
from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
_UpperCAmelCase    			=					20

# Time between time steps in seconds
_UpperCAmelCase    			=					INTERVAL / 1000

class 		__magic_name__				:


  """simple docstring"""





  def __init__(					self	,		a__	,		a__	,		a__	,		a__	,		a__ = 1.0	,		a__ = 1.0	,		a__ = "blue"	,		):
    _lowerCamelCase      =						position_x
    _lowerCamelCase      =						position_y
    _lowerCamelCase      =						velocity_x
    _lowerCamelCase      =						velocity_y
    _lowerCamelCase      =						mass
    _lowerCamelCase      =						size
    _lowerCamelCase      =						color


  @property
  def     _UpperCAmelCase  (					self		):
    return self.position_x, self.position_y


  @property
  def     _UpperCAmelCase  (					self		):
    return self.velocity_x, self.velocity_y


  def     _UpperCAmelCase  (					self	,		a__	,		a__	,		a__		):
    self.velocity_x += force_x * delta_time
    self.velocity_y += force_y * delta_time


  def     _UpperCAmelCase  (					self	,		a__		):
    self.position_x += self.velocity_x * delta_time
    self.position_y += self.velocity_y * delta_time







class 		__magic_name__				:


  """simple docstring"""





  def __init__(					self	,		a__	,		a__ = 1.0	,		a__ = 1.0	,		a__ = 0.0	,		):
    _lowerCamelCase      =						bodies
    _lowerCamelCase      =						gravitation_constant
    _lowerCamelCase      =						time_factor
    _lowerCamelCase      =						softening_factor


  def __len__(					self		):
    return len(self.bodies		)


  def     _UpperCAmelCase  (					self	,		a__		):
    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(a__	,		a__	,		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 		_lowerCamelCase       (   _a			,   _a			,   _a  ):
  """simple docstring"""




  body_system.update_system(_a  )

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


def 		_lowerCamelCase       (   _a			,   _a			,   _a = -1			,   _a = 1			,   _a = -1			,   _a = 1			,   ):
  """simple docstring"""




  _lowerCamelCase      =						plt.figure()
  fig.canvas.set_window_title(_a  )
  _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(_a  )

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

  _lowerCamelCase      =						animation.FuncAnimation(  # noqa: F841
      _a			,   _a			,   interval=_a			,   blit=_a  )

  plt.show()


def 		_lowerCamelCase       (   ):
  """simple docstring"""




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

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


def 		_lowerCamelCase       (   ):
  """simple docstring"""




  _lowerCamelCase      =						7.3_476E22
  _lowerCamelCase      =						5.972E24
  _lowerCamelCase      =						1_0_2_2
  _lowerCamelCase      =						3_8_4_3_9_9_0_0_0
  _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			,   _a			,   _a			,   1_0_0_0_0_0_0_0			,   '''grey'''  )
  _lowerCamelCase      =						Body(0			,   0			,   0			,   _a			,   _a			,   5_0_0_0_0_0_0_0			,   '''blue'''  )
  return BodySystem([earth, moon]			,   _a			,   time_factor=1_0_0_0_0_0_0  )


def 		_lowerCamelCase       (   ):
  """simple docstring"""




  _lowerCamelCase      =						[]
  for _ in range(1_0  ):
    _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  )			,   _a			,   _a			,   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(_a			,   0.01			,   1_0			,   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(),
      -430000000,
      430000000,
      -430000000,
      430000000,
  )
  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_conditional_detr import ConditionalDetrImageProcessor


_UpperCAmelCase    			=					logging.get_logger(__name__)

class 		__magic_name__				( lowercase_					):


  """simple docstring"""





  def __init__(					self	,		*a__	,		**a__		):
    warnings.warn(
        '''The class ConditionalDetrFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'''
        ''' Please use ConditionalDetrImageProcessor instead.'''	,		a__	,		)
    super().__init__(*a__	,		**a__		)




