


from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
_snake_case					=					20

# Time between time steps in seconds
_snake_case					=					INTERVAL / 10_00
class      UpperCAmelCase_ :

   '''simple docstring'''




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






     """simple docstring"""





     lowerCamelCase			: Tuple   =    position_x
     lowerCamelCase			: int   =    position_y
     lowerCamelCase			: Dict   =    velocity_x
     lowerCamelCase			: int   =    velocity_y
     lowerCamelCase			: Any   =    mass
     lowerCamelCase			: List[str]   =    size
     lowerCamelCase			: Union[str, Any]   =    color






   @property
   def _snake_case   (		self			):






     """simple docstring"""





     return self.position_x, self.position_y






   @property
   def _snake_case   (		self			):






     """simple docstring"""





     return self.velocity_x, self.velocity_y






   def _snake_case   (		self						,    __A						,    __A						,    __A			):






     """simple docstring"""





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






   def _snake_case   (		self						,    __A			):






     """simple docstring"""





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



class      UpperCAmelCase_ :

   '''simple docstring'''




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






     """simple docstring"""





     lowerCamelCase			: Union[str, Any]   =    bodies
     lowerCamelCase			: int   =    gravitation_constant
     lowerCamelCase			: Optional[Any]   =    time_factor
     lowerCamelCase			: str   =    softening_factor






   def __len__(		self			):






     """simple docstring"""





     return len(self.bodies			)






   def _snake_case   (		self						,    __A			):






     """simple docstring"""





     for bodya in self.bodies:
       lowerCamelCase			: Dict   =    0.0
       lowerCamelCase			: str   =    0.0
       for bodya in self.bodies:
         if bodya != bodya:
           lowerCamelCase			: Union[str, Any]   =    bodya.position_x - bodya.position_x
           lowerCamelCase			: Optional[Any]   =    bodya.position_y - bodya.position_y

           # Calculation of the distance using Pythagoras's theorem
           # Extra factor due to the softening technique
           lowerCamelCase			: int   =    (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 		lowercase_(  SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_     ):


  '''simple docstring'''

  body_system.update_system(SCREAMING_SNAKE_CASE_     )

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






def 		lowercase_(  SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_ = -1				,						SCREAMING_SNAKE_CASE_ = 1				,						SCREAMING_SNAKE_CASE_ = -1				,						SCREAMING_SNAKE_CASE_ = 1				,						):


  '''simple docstring'''

  lowerCamelCase			: int   =    plt.figure()
  fig.canvas.set_window_title(SCREAMING_SNAKE_CASE_     )
  lowerCamelCase			: str   =    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			: str   =    [
      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(SCREAMING_SNAKE_CASE_     )

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

  lowerCamelCase			: List[str]   =    animation.FuncAnimation(  # noqa: F841
      SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						interval=SCREAMING_SNAKE_CASE_				,						blit=SCREAMING_SNAKE_CASE_     )

  plt.show()






def 		lowercase_(  ):


  '''simple docstring'''

  lowerCamelCase			: Any   =    0.9700436
  lowerCamelCase			: List[str]   =    -0.24308753
  lowerCamelCase			: List[Any]   =    0.466203685
  lowerCamelCase			: Tuple   =    0.43236573

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






def 		lowercase_(  ):


  '''simple docstring'''

  lowerCamelCase			: List[Any]   =    7.34_76E22
  lowerCamelCase			: Dict   =    5.9_72E24
  lowerCamelCase			: Any   =    1022
  lowerCamelCase			: int   =    384399000
  lowerCamelCase			: str   =    6.6_74E-11

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

  lowerCamelCase			: int   =    Body(-earth_moon_distance				,						0				,						0				,						SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						10000000				,						"grey"     )
  lowerCamelCase			: Any   =    Body(0				,						0				,						0				,						SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						50000000				,						"blue"     )
  return BodySystem([earth, moon]				,						SCREAMING_SNAKE_CASE_				,						time_factor=1000000     )






def 		lowercase_(  ):


  '''simple docstring'''

  lowerCamelCase			: Optional[int]   =    []
  for _ in range(10     ):
    lowerCamelCase			: Optional[int]   =    random.uniform(-0.5				,						0.5     )
    lowerCamelCase			: Optional[int]   =    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     )				,						SCREAMING_SNAKE_CASE_				,						SCREAMING_SNAKE_CASE_				,						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(SCREAMING_SNAKE_CASE_				,						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 unittest
from pathlib import Path

from transformers import is_vision_available, load_tool
from transformers.testing_utils import get_tests_dir

from .test_tools_common import ToolTesterMixin


if is_vision_available():
   from PIL import Image
class      UpperCAmelCase_ ( unittest.TestCase		,			UpperCamelCase   ):

   '''simple docstring'''




   def _snake_case   (		self			):






     """simple docstring"""





     lowerCamelCase			: List[Any]   =    load_tool("image-segmentation"			)
     self.tool.setup()
     lowerCamelCase			: Optional[Any]   =    load_tool("image-segmentation"						,    remote=__A			)






   def _snake_case   (		self			):






     """simple docstring"""





     lowerCamelCase			: List[str]   =    Image.open(Path(get_tests_dir("fixtures/tests_samples/COCO"			)			) / "000000039769.png"			)
     lowerCamelCase			: Dict   =    self.tool(__A						,    "cat"			)
     self.assertTrue(isinstance(__A						,    Image.Image			)			)






   def _snake_case   (		self			):






     """simple docstring"""





     lowerCamelCase			: int   =    Image.open(Path(get_tests_dir("fixtures/tests_samples/COCO"			)			) / "000000039769.png"			)
     lowerCamelCase			: int   =    self.remote_tool(__A						,    "cat"			)
     self.assertTrue(isinstance(__A						,    Image.Image			)			)






   def _snake_case   (		self			):






     """simple docstring"""





     lowerCamelCase			: Optional[int]   =    Image.open(Path(get_tests_dir("fixtures/tests_samples/COCO"			)			) / "000000039769.png"			)
     lowerCamelCase			: Optional[Any]   =    self.tool(image=__A						,    label="cat"			)
     self.assertTrue(isinstance(__A						,    Image.Image			)			)






   def _snake_case   (		self			):






     """simple docstring"""





     lowerCamelCase			: str   =    Image.open(Path(get_tests_dir("fixtures/tests_samples/COCO"			)			) / "000000039769.png"			)
     lowerCamelCase			: Dict   =    self.remote_tool(image=__A						,    label="cat"			)
     self.assertTrue(isinstance(__A						,    Image.Image			)			)



