


from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

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

# Time between time steps in seconds
a					:				List[str]       =      INTERVAL / 1000

class   lowerCamelCase						:

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






        '''simple docstring'''






        snake_case :			Dict							=   position_x
        snake_case :			Any							=   position_y
        snake_case :			int							=   velocity_x
        snake_case :			List[str]							=   velocity_y
        snake_case :			int							=   mass
        snake_case :			List[Any]							=   size
        snake_case :			Tuple							=   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						,    a__						,    a__						,    a__       ):






        '''simple docstring'''






        self.velocity_x += force_x * delta_time
        self.velocity_y += force_y * delta_time



       def 					UpperCAmelCase					(      self						,    a__       ):






        '''simple docstring'''






        self.position_x += self.velocity_x * delta_time
        self.position_y += self.velocity_y * delta_time







class   lowerCamelCase						:

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






        '''simple docstring'''






        snake_case :			str							=   bodies
        snake_case :			Union[str, Any]							=   gravitation_constant
        snake_case :			Union[str, Any]							=   time_factor
        snake_case :			Dict							=   softening_factor

       def __len__(      self       ):






        '''simple docstring'''






        return len(self.bodies       )



       def 					UpperCAmelCase					(      self						,    a__       ):






        '''simple docstring'''






        for bodya in self.bodies:
         snake_case :			List[Any]							=   0.0
         snake_case :			Any							=   0.0
         for bodya in self.bodies:
          if bodya != bodya:
           snake_case :			List[str]							=   bodya.position_x - bodya.position_x
           snake_case :			List[str]							=   bodya.position_y - bodya.position_y

           # Calculation of the distance using Pythagoras's theorem
           # Extra factor due to the softening technique
           snake_case :			Tuple							=   (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  _UpperCAmelCase						( __lowerCamelCase			,  __lowerCamelCase			,  __lowerCamelCase							)		->None:


 '''simple docstring'''
 body_system.update_system(__lowerCamelCase							)

 # Update the positions of the patches
 for patch, body in zip(__lowerCamelCase			,  body_system.bodies							):
  snake_case :			List[Any]							=   (body.position_x, body.position_y)






def  _UpperCAmelCase						( __lowerCamelCase			,  __lowerCamelCase			,  __lowerCamelCase = -1			,  __lowerCamelCase = 1			,  __lowerCamelCase = -1			,  __lowerCamelCase = 1			,  )		->None:


 '''simple docstring'''
 snake_case :			Tuple							=   plt.figure()
 fig.canvas.set_window_title(__lowerCamelCase							)
 snake_case :			Tuple							=   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
 snake_case :			Optional[Any]							=   [
     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							) -> list[plt.Circle]:
  update_step(__lowerCamelCase			,  __lowerCamelCase			,  __lowerCamelCase							)
  return patches

 snake_case :			Dict							=   animation.FuncAnimation(  # noqa: F841
     __lowerCamelCase			,  __lowerCamelCase			,  interval=__lowerCamelCase			,  blit=__lowerCamelCase							)

 plt.show()






def  _UpperCAmelCase						( )		->BodySystem:


 '''simple docstring'''
 snake_case :			Tuple							=   0.970_0436
 snake_case :			Union[str, Any]							=   -0.2430_8753
 snake_case :			List[str]							=   0.4_6620_3685
 snake_case :			Optional[int]							=   0.4323_6573

 snake_case :			Optional[Any]							=   [
     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  _UpperCAmelCase						( )		->BodySystem:


 '''simple docstring'''
 snake_case :			Dict							=   7.3476E22
 snake_case :			List[Any]							=   5.972E24
 snake_case :			Optional[Any]							=   1022
 snake_case :			int							=   384399000
 snake_case :			Optional[int]							=   6.674E-11

 # Calculation of the respective velocities so that total impulse is zero,
 # i.e. the two bodies together don't move
 snake_case :			Union[str, Any]							=   earth_mass * velocity_dif / (earth_mass + moon_mass)
 snake_case :			Optional[Any]							=   moon_velocity - velocity_dif

 snake_case :			int							=   Body(-earth_moon_distance			,  0			,  0			,  __lowerCamelCase			,  __lowerCamelCase			,  10000000			,  '''grey'''							)
 snake_case :			str							=   Body(0			,  0			,  0			,  __lowerCamelCase			,  __lowerCamelCase			,  50000000			,  '''blue'''							)
 return BodySystem([earth, moon]			,  __lowerCamelCase			,  time_factor=1000000							)






def  _UpperCAmelCase						( )		->BodySystem:


 '''simple docstring'''
 snake_case :			Union[str, Any]							=   []
 for _ in range(10							):
  snake_case :			Optional[int]							=   random.uniform(-0.5			,  0.5							)
  snake_case :			List[str]							=   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_3000_0000,
      4_3000_0000,
      -4_3000_0000,
      4_3000_0000,
  )
  plot('Random system with many bodies', example_a(), -1.5, 1.5, -1.5, 1.5)










import copy

from transformers.configuration_utils import PretrainedConfig
from transformers.utils import logging


a					:				Optional[Any]       =      logging.get_logger(__name__)

class   lowerCamelCase						(	SCREAMING_SNAKE_CASE  ):
       _UpperCamelCase     		=   """hybrid-clip"""
       _UpperCamelCase     		=   True

       def __init__(      self						,    a__=5_12						,    **a__       ):






        '''simple docstring'''






        super().__init__(**a__       )

        if "text_config" not in kwargs:
         raise ValueError('''`text_config` can not be `None`.'''       )

        if "vision_config" not in kwargs:
         raise ValueError('''`vision_config` can not be `None`.'''       )

        snake_case :			int							=   kwargs.pop('''text_config'''       )
        snake_case :			Optional[int]							=   kwargs.pop('''vision_config'''       )

        snake_case :			Optional[Any]							=   text_config.pop('''model_type'''       )
        snake_case :			str							=   vision_config.pop('''model_type'''       )

        from transformers import AutoConfig

        snake_case :			List[Any]							=   AutoConfig.for_model(a__						,    **a__       )

        if vision_model_type == "clip":
         snake_case :			Dict							=   AutoConfig.for_model(a__						,    **a__       ).vision_config
        elif vision_model_type == "clip_vision_model":
         from transformers import CLIPVisionConfig

         snake_case :			str							=   CLIPVisionConfig(**a__       )
        else:
         snake_case :			Any							=   AutoConfig.for_model(a__						,    **a__       )

        snake_case :			Optional[Any]							=   projection_dim
        snake_case :			int							=   1.0

       @classmethod
       def 					UpperCAmelCase					(      cls						,    a__						,    a__						,    **a__       ):






        '''simple docstring'''






        return cls(text_config=text_config.to_dict()						,    vision_config=vision_config.to_dict()						,    **a__       )



       def 					UpperCAmelCase					(      self       ):






        '''simple docstring'''






        snake_case :			Dict							=   copy.deepcopy(self.__dict__       )
        snake_case :			Dict							=   self.text_config.to_dict()
        snake_case :			int							=   self.vision_config.to_dict()
        snake_case :			List[Any]							=   self.__class__.model_type
        return output






