





'''simple docstring'''


from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
A_				     =							20

# Time between time steps in seconds
A_				     =							INTERVAL / 10_00


class 		UpperCamelCase__     :
      '''simple docstring'''






      def __init__(     self     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE = 1.0     , SCREAMING_SNAKE_CASE = 1.0     , SCREAMING_SNAKE_CASE = "blue"     , )				->  None:
        __lowerCAmelCase		:    Optional[int]			     =  position_x
        __lowerCAmelCase		:    int			     =  position_y
        __lowerCAmelCase		:    Dict			     =  velocity_x
        __lowerCAmelCase		:    Any			     =  velocity_y
        __lowerCAmelCase		:    Optional[Any]			     =  mass
        __lowerCAmelCase		:    Dict			     =  size
        __lowerCAmelCase		:    Tuple			     =  color




      @property
      def 	snake_case  (     self )				->  tuple[float, float]:
        return self.position_x, self.position_y




      @property
      def 	snake_case  (     self )				->  tuple[float, float]:
        return self.velocity_x, self.velocity_y




      def 	snake_case  (     self     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE )				->  None:
        self.velocity_x += force_x * delta_time
        self.velocity_y += force_y * delta_time







      def 	snake_case  (     self     , SCREAMING_SNAKE_CASE )				->  None:
        self.position_x += self.velocity_x * delta_time
        self.position_y += self.velocity_y * delta_time



class 		UpperCamelCase__     :
      '''simple docstring'''






      def __init__(     self     , SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE = 1.0     , SCREAMING_SNAKE_CASE = 1.0     , SCREAMING_SNAKE_CASE = 0.0     , )				->  None:
        __lowerCAmelCase		:    List[str]			     =  bodies
        __lowerCAmelCase		:    str			     =  gravitation_constant
        __lowerCAmelCase		:    int			     =  time_factor
        __lowerCAmelCase		:    List[Any]			     =  softening_factor




      def __len__(     self )				->  int:
        return len(self.bodies )







      def 	snake_case  (     self     , SCREAMING_SNAKE_CASE )				->  None:
        for bodya in self.bodies:
          __lowerCAmelCase		:    Optional[Any]			     =  0.0
          __lowerCAmelCase		:    Dict			     =  0.0
          for bodya in self.bodies:
            if bodya != bodya:
              __lowerCAmelCase		:    Union[str, Any]			     =  bodya.position_x - bodya.position_x
              __lowerCAmelCase		:    str			     =  bodya.position_y - bodya.position_y

              # Calculation of the distance using Pythagoras's theorem
              # Extra factor due to the softening technique
              __lowerCAmelCase		:    List[str]			     =  (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(SCREAMING_SNAKE_CASE     , SCREAMING_SNAKE_CASE     , 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       A							(      _UpperCAmelCase   :				BodySystem						,_UpperCAmelCase   :				float						,_UpperCAmelCase   :				list[plt.Circle]					)  ->				None:


  '''simple docstring'''




  body_system.update_system(_UpperCAmelCase					)

  # Update the positions of the patches
  for patch, body in zip(_UpperCAmelCase						,body_system.bodies					):
    __lowerCAmelCase		:    Union[str, Any]			     =  (body.position_x, body.position_y)




def       A							(      _UpperCAmelCase   :				str						,_UpperCAmelCase   :				BodySystem						,_UpperCAmelCase   :				float = -1						,_UpperCAmelCase   :				float = 1						,_UpperCAmelCase   :				float = -1						,_UpperCAmelCase   :				float = 1						,)  ->				None:


  '''simple docstring'''




  __lowerCAmelCase		:    str			     =  plt.figure()
  fig.canvas.set_window_title(_UpperCAmelCase					)
  __lowerCAmelCase		:    List[Any]			     =  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		:    Union[str, 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(_UpperCAmelCase					)

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

  __lowerCAmelCase		:    str			     =  animation.FuncAnimation(  # noqa: F841
      _UpperCAmelCase						,_UpperCAmelCase						,interval=_UpperCAmelCase						,blit=_UpperCAmelCase					)

  plt.show()




def       A							(      )  ->				BodySystem:


  '''simple docstring'''




  __lowerCAmelCase		:    Dict			     =  0.9_700_436
  __lowerCAmelCase		:    str			     =  -0.24_308_753
  __lowerCAmelCase		:    str			     =  0.466_203_685
  __lowerCAmelCase		:    Any			     =  0.43_236_573

  __lowerCAmelCase		:    str			     =  [
      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       A							(      )  ->				BodySystem:


  '''simple docstring'''




  __lowerCAmelCase		:    Tuple			     =  7.3_476e22
  __lowerCAmelCase		:    Dict			     =  5.972e24
  __lowerCAmelCase		:    Tuple			     =  1_0_2_2
  __lowerCAmelCase		:    Tuple			     =  3_8_4_3_9_9_0_0_0
  __lowerCAmelCase		:    int			     =  6.674e-11

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

  __lowerCAmelCase		:    str			     =  Body(-earth_moon_distance						,0						,0						,_UpperCAmelCase						,_UpperCAmelCase						,1_0_0_0_0_0_0_0						,'grey'					)
  __lowerCAmelCase		:    Tuple			     =  Body(0						,0						,0						,_UpperCAmelCase						,_UpperCAmelCase						,5_0_0_0_0_0_0_0						,'blue'					)
  return BodySystem([earth, moon]						,_UpperCAmelCase						,time_factor=1_0_0_0_0_0_0					)




def       A							(      )  ->				BodySystem:


  '''simple docstring'''




  __lowerCAmelCase		:    Optional[int]			     =  []
  for _ in range(1_0					):
    __lowerCAmelCase		:    Any			     =  random.uniform(-0.5						,0.5					)
    __lowerCAmelCase		:    Dict			     =  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						,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(),
        -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'''


from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_torch_available,
    is_vision_available,
)


A_				     =							{
    "configuration_sam": [
        "SAM_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "SamConfig",
        "SamMaskDecoderConfig",
        "SamPromptEncoderConfig",
        "SamVisionConfig",
    ],
    "processing_sam": ["SamProcessor"],
}


try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    A_				     =							[
        "SAM_PRETRAINED_MODEL_ARCHIVE_LIST",
        "SamModel",
        "SamPreTrainedModel",
    ]
try:
    if not is_tf_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    A_				     =							[
        "TF_SAM_PRETRAINED_MODEL_ARCHIVE_LIST",
        "TFSamModel",
        "TFSamPreTrainedModel",
    ]
try:
    if not is_vision_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    A_				     =							["SamImageProcessor"]


if TYPE_CHECKING:
    from .configuration_sam import (
        SAM_PRETRAINED_CONFIG_ARCHIVE_MAP,
        SamConfig,
        SamMaskDecoderConfig,
        SamPromptEncoderConfig,
        SamVisionConfig,
    )
    from .processing_sam import SamProcessor

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_sam import SAM_PRETRAINED_MODEL_ARCHIVE_LIST, SamModel, SamPreTrainedModel

    try:
        if not is_tf_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_tf_sam import TF_SAM_PRETRAINED_MODEL_ARCHIVE_LIST, TFSamModel, TFSamPreTrainedModel

    try:
        if not is_vision_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .image_processing_sam import SamImageProcessor

else:
    import sys

    A_				     =							_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





