



'''simple docstring'''





from typing import TYPE_CHECKING

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


__UpperCAmelCase      = {
    '''configuration_segformer''': ['''SEGFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''SegformerConfig''', '''SegformerOnnxConfig''']
}

try:
    if not is_vision_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __UpperCAmelCase      = ['''SegformerFeatureExtractor''']
    __UpperCAmelCase      = ['''SegformerImageProcessor''']

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __UpperCAmelCase      = [
        '''SEGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''SegformerDecodeHead''',
        '''SegformerForImageClassification''',
        '''SegformerForSemanticSegmentation''',
        '''SegformerLayer''',
        '''SegformerModel''',
        '''SegformerPreTrainedModel''',
    ]

try:
    if not is_tf_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __UpperCAmelCase      = [
        '''TF_SEGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''TFSegformerDecodeHead''',
        '''TFSegformerForImageClassification''',
        '''TFSegformerForSemanticSegmentation''',
        '''TFSegformerModel''',
        '''TFSegformerPreTrainedModel''',
    ]


if TYPE_CHECKING:
    from .configuration_segformer import SEGFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, SegformerConfig, SegformerOnnxConfig

    try:
        if not is_vision_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .feature_extraction_segformer import SegformerFeatureExtractor
        from .image_processing_segformer import SegformerImageProcessor

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_segformer import (
            SEGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
            SegformerDecodeHead,
            SegformerForImageClassification,
            SegformerForSemanticSegmentation,
            SegformerLayer,
            SegformerModel,
            SegformerPreTrainedModel,
        )
    try:
        if not is_tf_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_tf_segformer import (
            TF_SEGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
            TFSegformerDecodeHead,
            TFSegformerForImageClassification,
            TFSegformerForSemanticSegmentation,
            TFSegformerModel,
            TFSegformerPreTrainedModel,
        )

else:
    import sys

    __UpperCAmelCase      = _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)








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 / 1_000



class        lowerCAmelCase_	:
       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:
          UpperCamelCase					:						int					=			position_x
          UpperCamelCase					:						List[Any]					=			position_y
          UpperCamelCase					:						Tuple					=			velocity_x
          UpperCamelCase					:						Optional[Any]					=			velocity_y
          UpperCamelCase					:						Optional[Any]					=			mass
          UpperCamelCase					:						Union[str, Any]					=			size
          UpperCamelCase					:						Any					=			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        lowerCAmelCase_	:
       def __init__(    self,    SCREAMING_SNAKE_CASE_,    SCREAMING_SNAKE_CASE_ = 1.0,    SCREAMING_SNAKE_CASE_ = 1.0,    SCREAMING_SNAKE_CASE_ = 0.0,    )  ->	None:
          UpperCamelCase					:						Tuple					=			bodies
          UpperCamelCase					:						Tuple					=			gravitation_constant
          UpperCamelCase					:						Any					=			time_factor
          UpperCamelCase					:						Any					=			softening_factor
       def __len__(    self )  ->	int:
          return len(self.bodies )






       def       snake_case_ (    self,    SCREAMING_SNAKE_CASE_ )  ->	None:
          for bodya in self.bodies:
             UpperCamelCase					:						Optional[Any]					=			0.0
             UpperCamelCase					:						str					=			0.0
             for bodya in self.bodies:
                if bodya != bodya:
                   UpperCamelCase					:						List[str]					=			bodya.position_x - bodya.position_x
                   UpperCamelCase					:						Union[str, Any]					=			bodya.position_y - bodya.position_y

                   # Calculation of the distance using Pythagoras's theorem
                   # Extra factor due to the softening technique
                   UpperCamelCase					:						Dict					=			(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 	UpperCamelCase			(     snake_case__ :					BodySystem ,  snake_case__ :					float ,  snake_case__ :					list[plt.Circle]			)			->  None:
   body_system.update_system(snake_case__			)

   # Update the positions of the patches
   for patch, body in zip(snake_case__ ,  body_system.bodies			):
      UpperCamelCase					:						List[str]					=			(body.position_x, body.position_y)
def 	UpperCamelCase			(     snake_case__ :					str ,  snake_case__ :					BodySystem ,  snake_case__ :					float = -1 ,  snake_case__ :					float = 1 ,  snake_case__ :					float = -1 ,  snake_case__ :					float = 1 ,  )			->  None:
   UpperCamelCase					:						Dict					=			plt.figure()
   fig.canvas.set_window_title(snake_case__			)
   UpperCamelCase					:						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
   UpperCamelCase					:						List[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(snake_case__			)

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

   UpperCamelCase					:						Dict					=			animation.FuncAnimation(  # noqa: F841
       snake_case__ ,  snake_case__ ,  interval=snake_case__ ,  blit=snake_case__			)

   plt.show()
def 	UpperCamelCase			(     )			->  BodySystem:
   UpperCamelCase					:						str					=			0.9700436
   UpperCamelCase					:						Optional[Any]					=			-0.24308753
   UpperCamelCase					:						Optional[int]					=			0.466203685
   UpperCamelCase					:						int					=			0.43236573

   UpperCamelCase					:						int					=			[
       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 	UpperCamelCase			(     )			->  BodySystem:
   UpperCamelCase					:						str					=			7.3_476E22
   UpperCamelCase					:						str					=			5.972E24
   UpperCamelCase					:						Union[str, Any]					=			1022
   UpperCamelCase					:						Optional[Any]					=			384399000
   UpperCamelCase					:						str					=			6.674E-11

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

   UpperCamelCase					:						Optional[int]					=			Body(-earth_moon_distance ,  0 ,  0 ,  snake_case__ ,  snake_case__ ,  10000000 ,  'grey'			)
   UpperCamelCase					:						Dict					=			Body(0 ,  0 ,  0 ,  snake_case__ ,  snake_case__ ,  50000000 ,  'blue'			)
   return BodySystem([earth, moon] ,  snake_case__ ,  time_factor=1000000			)
def 	UpperCamelCase			(     )			->  BodySystem:
   UpperCamelCase					:						int					=			[]
   for _ in range(10			):
      UpperCamelCase					:						Optional[int]					=			random.uniform(-0.5 ,  0.5			)
      UpperCamelCase					:						Union[str, 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(),
        -430_000_000,
        430_000_000,
        -430_000_000,
        430_000_000,
    )
    plot('''Random system with many bodies''', example_a(), -1.5, 1.5, -1.5, 1.5)



