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 						snake_case_ :






   def __init__(   self       :  Optional[int]			,		lowercase_       :  float			,		lowercase_       :  float			,		lowercase_       :  float			,		lowercase_       :  float			,		lowercase_       :  float = 1.0			,		lowercase_       :  float = 1.0			,		lowercase_       :  str = "blue"			,		)      ->		None:
       lowercase__				:     Any					      =       position_x
       lowercase__				:     Optional[int]					      =       position_y
       lowercase__				:     Optional[Any]					      =       velocity_x
       lowercase__				:     List[Any]					      =       velocity_y
       lowercase__				:     Optional[int]					      =       mass
       lowercase__				:     int					      =       size
       lowercase__				:     str					      =       color






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






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






   def    __UpperCamelCase  (   self       :  Optional[int]			,		lowercase_       :  float			,		lowercase_       :  float			,		lowercase_       :  float						)      ->		None:
       self.velocity_x += force_x * delta_time
       self.velocity_y += force_y * delta_time







   def    __UpperCamelCase  (   self       :  int			,		lowercase_       :  float						)      ->		None:
       self.position_x += self.velocity_x * delta_time
       self.position_y += self.velocity_y * delta_time



class 						snake_case_ :






   def __init__(   self       :  int			,		lowercase_       :  list[Body]			,		lowercase_       :  float = 1.0			,		lowercase_       :  float = 1.0			,		lowercase_       :  float = 0.0			,		)      ->		None:
       lowercase__				:     Union[str, Any]					      =       bodies
       lowercase__				:     Union[str, Any]					      =       gravitation_constant
       lowercase__				:     Optional[int]					      =       time_factor
       lowercase__				:     Dict					      =       softening_factor






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







   def    __UpperCamelCase  (   self       :  List[Any]			,		lowercase_       :  float						)      ->		None:
       for bodya in self.bodies:
           lowercase__				:     Union[str, Any]					      =       0.0
           lowercase__				:     int					      =       0.0
           for bodya in self.bodies:
               if bodya != bodya:
                   lowercase__				:     Union[str, Any]					      =       bodya.position_x - bodya.position_x
                   lowercase__				:     Tuple					      =       bodya.position_y - bodya.position_y

                   # Calculation of the distance using Pythagoras's theorem
                   # Extra factor due to the softening technique
                   lowercase__				:     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(lowercase_			,		lowercase_			,		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_       (    _lowerCamelCase							: BodySystem	,			_lowerCamelCase							: float	,			_lowerCamelCase							: list[plt.Circle]):
    body_system.update_system(_lowerCamelCase)

    # Update the positions of the patches
    for patch, body in zip(_lowerCamelCase	,			body_system.bodies):
        lowercase__				:     Optional[int]					      =       (body.position_x, body.position_y)

def     lowercase_       (    _lowerCamelCase							: str	,			_lowerCamelCase							: BodySystem	,			_lowerCamelCase							: float = -1	,			_lowerCamelCase							: float = 1	,			_lowerCamelCase							: float = -1	,			_lowerCamelCase							: float = 1	,			):
    lowercase__				:     str					      =       plt.figure()
    fig.canvas.set_window_title(_lowerCamelCase)
    lowercase__				:     Optional[int]					      =       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
    lowercase__				:     Optional[int]					      =       [
        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							: int) -> list[plt.Circle]:
        update_step(_lowerCamelCase	,			_lowerCamelCase	,			_lowerCamelCase)
        return patches

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

    plt.show()

def     lowercase_       (    ):
    lowercase__				:     Tuple					      =       0.9700436
    lowercase__				:     int					      =       -0.24308753
    lowercase__				:     int					      =       0.466203685
    lowercase__				:     int					      =       0.43236573

    lowercase__				:     Tuple					      =       [
        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     lowercase_       (    ):
    lowercase__				:     Optional[Any]					      =       7.3_476E22
    lowercase__				:     Optional[Any]					      =       5.972E24
    lowercase__				:     Optional[int]					      =       1022
    lowercase__				:     Any					      =       3_8439_9000
    lowercase__				:     Any					      =       6.674E-11

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

    lowercase__				:     Optional[Any]					      =       Body(-earth_moon_distance	,			0	,			0	,			_lowerCamelCase	,			_lowerCamelCase	,			1000_0000	,			"grey")
    lowercase__				:     List[str]					      =       Body(0	,			0	,			0	,			_lowerCamelCase	,			_lowerCamelCase	,			5000_0000	,			"blue")
    return BodySystem([earth, moon]	,			_lowerCamelCase	,			time_factor=100_0000)

def     lowercase_       (    ):
    lowercase__				:     str					      =       []
    for _ in range(10):
        lowercase__				:     Union[str, Any]					      =       random.uniform(-0.5	,			0.5)
        lowercase__				:     Tuple					      =       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 unittest

from datasets import load_dataset

from transformers import load_tool

from .test_tools_common import ToolTesterMixin



class 						snake_case_ (	unittest.TestCase						,__A ):






   def    __UpperCamelCase  (   self       :  Optional[int]						)      ->		List[Any]:
       lowercase__				:     List[Any]					      =       load_tool("document-question-answering"						)
       self.tool.setup()
       lowercase__				:     Optional[int]					      =       load_tool("document-question-answering"			,		remote=lowercase_						)






   def    __UpperCamelCase  (   self       :  int						)      ->		Optional[int]:
       lowercase__				:     List[Any]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     List[Any]					      =       dataset[0]["image"]

       lowercase__				:     int					      =       self.tool(lowercase_			,		"When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)






   def    __UpperCamelCase  (   self       :  Optional[Any]						)      ->		List[Any]:
       lowercase__				:     str					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     str					      =       dataset[0]["image"]

       lowercase__				:     List[str]					      =       self.remote_tool(lowercase_			,		"When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)






   def    __UpperCamelCase  (   self       :  List[Any]						)      ->		Dict:
       lowercase__				:     List[str]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     List[str]					      =       dataset[0]["image"]

       self.tool(document=lowercase_			,		question="When is the coffee break?"						)







   def    __UpperCamelCase  (   self       :  str						)      ->		Optional[Any]:
       lowercase__				:     Optional[Any]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     int					      =       dataset[0]["image"]

       lowercase__				:     Tuple					      =       self.remote_tool(document=lowercase_			,		question="When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)



