






"""simple docstring"""





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 / 10_00







class 		_a       :





   '''simple docstring'''






   def __init__(   self			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_ = 1.0			,				UpperCAmelCase_ = 1.0			,				UpperCAmelCase_ = "blue"			,				)	-> None:




          '''simple docstring'''




          lowercase__:    Optional[Any]        =      position_x
          lowercase__:    Union[str, Any]        =      position_y
          lowercase__:    int        =      velocity_x
          lowercase__:    int        =      velocity_y
          lowercase__:    Union[str, Any]        =      mass
          lowercase__:    Any        =      size
          lowercase__:    Tuple        =      color





   @property
   def __lowercase    (   self)	-> tuple[float, float]:




          '''simple docstring'''




          return self.position_x, self.position_y





   @property
   def __lowercase    (   self)	-> tuple[float, float]:




          '''simple docstring'''




          return self.velocity_x, self.velocity_y





   def __lowercase    (   self			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_)	-> None:




          '''simple docstring'''




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





   def __lowercase    (   self			,				UpperCAmelCase_)	-> None:




          '''simple docstring'''




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







class 		_a       :





   '''simple docstring'''






   def __init__(   self			,				UpperCAmelCase_			,				UpperCAmelCase_ = 1.0			,				UpperCAmelCase_ = 1.0			,				UpperCAmelCase_ = 0.0			,				)	-> None:




          '''simple docstring'''




          lowercase__:    Union[str, Any]        =      bodies
          lowercase__:    List[str]        =      gravitation_constant
          lowercase__:    List[str]        =      time_factor
          lowercase__:    Tuple        =      softening_factor





   def __len__(   self)	-> int:




          '''simple docstring'''




          return len(self.bodies)





   def __lowercase    (   self			,				UpperCAmelCase_)	-> None:




          '''simple docstring'''




          for bodya in self.bodies:
                 lowercase__:    Tuple        =      0.0
                 lowercase__:    Optional[Any]        =      0.0
                 for bodya in self.bodies:
                        if bodya != bodya:
                               lowercase__:    Any        =      bodya.position_x - bodya.position_x
                               lowercase__:    List[Any]        =      bodya.position_y - bodya.position_y

                               # Calculation of the distance using Pythagoras's theorem
                               # Extra factor due to the softening technique
                               lowercase__:    Optional[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(UpperCAmelCase_			,				UpperCAmelCase_			,				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(  snake_case_						,       snake_case_						,       snake_case_		):
       """simple docstring"""





       body_system.update_system(snake_case_		)

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






def     A(  snake_case_						,       snake_case_						,       snake_case_ = -1						,       snake_case_ = 1						,       snake_case_ = -1						,       snake_case_ = 1						,       ):
       """simple docstring"""





       lowercase__:    List[Any]        =      plt.figure()
       fig.canvas.set_window_title(snake_case_		)
       lowercase__:    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
       lowercase__:    Tuple        =      [
           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(snake_case_		)

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

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

       plt.show()






def     A(  ):
       """simple docstring"""





       lowercase__:    Optional[Any]        =      0.9_70_04_36
       lowercase__:    Tuple        =      -0.24_30_87_53
       lowercase__:    List[str]        =      0.4_66_20_36_85
       lowercase__:    str        =      0.43_23_65_73

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






def     A(  ):
       """simple docstring"""





       lowercase__:    Dict        =      7.3_4_7_6E2_2
       lowercase__:    Dict        =      5.9_7_2E2_4
       lowercase__:    int        =      1022
       lowercase__:    Union[str, Any]        =      384399000
       lowercase__:    int        =      6.6_7_4E-1_1

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

       lowercase__:    List[str]        =      Body(-earth_moon_distance						,       0						,       0						,       snake_case_						,       snake_case_						,       10000000						,       "grey"		)
       lowercase__:    str        =      Body(0						,       0						,       0						,       snake_case_						,       snake_case_						,       50000000						,       "blue"		)
       return BodySystem([earth, moon]						,       snake_case_						,       time_factor=1000000		)






def     A(  ):
       """simple docstring"""





       lowercase__:    Any        =      []
       for _ in range(10		):
              lowercase__:    Dict        =      random.uniform(-0.5						,       0.5		)
              lowercase__:    Optional[Any]        =      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		)						,       snake_case_						,       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(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)














"""simple docstring"""





# Copyright 2023 The HuggingFace Inc. team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

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


UpperCamelCase			=      {
    """agents""": ["""Agent""", """AzureOpenAiAgent""", """HfAgent""", """LocalAgent""", """OpenAiAgent"""],
    """base""": ["""PipelineTool""", """RemoteTool""", """Tool""", """launch_gradio_demo""", """load_tool"""],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase			=      ["""DocumentQuestionAnsweringTool"""]
  UpperCamelCase			=      ["""ImageCaptioningTool"""]
  UpperCamelCase			=      ["""ImageQuestionAnsweringTool"""]
  UpperCamelCase			=      ["""ImageSegmentationTool"""]
  UpperCamelCase			=      ["""SpeechToTextTool"""]
  UpperCamelCase			=      ["""TextClassificationTool"""]
  UpperCamelCase			=      ["""TextQuestionAnsweringTool"""]
  UpperCamelCase			=      ["""TextSummarizationTool"""]
  UpperCamelCase			=      ["""TextToSpeechTool"""]
  UpperCamelCase			=      ["""TranslationTool"""]

if TYPE_CHECKING:
  from .agents import Agent, AzureOpenAiAgent, HfAgent, LocalAgent, OpenAiAgent
  from .base import PipelineTool, RemoteTool, Tool, launch_gradio_demo, load_tool

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .document_question_answering import DocumentQuestionAnsweringTool
    from .image_captioning import ImageCaptioningTool
    from .image_question_answering import ImageQuestionAnsweringTool
    from .image_segmentation import ImageSegmentationTool
    from .speech_to_text import SpeechToTextTool
    from .text_classification import TextClassificationTool
    from .text_question_answering import TextQuestionAnsweringTool
    from .text_summarization import TextSummarizationTool
    from .text_to_speech import TextToSpeechTool
    from .translation import TranslationTool
else:
  import sys

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






