


'''simple docstring'''



from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
A__		: str												=  20

# Time between time steps in seconds
A__		: List[str]												=  INTERVAL / 1000





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







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







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







    def 				lowercase_    (							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 				lowercase_    (							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       :     int        =		bodies
         __lowerCamelCase       :     Optional[int]        =		gravitation_constant
         __lowerCamelCase       :     Dict        =		time_factor
         __lowerCamelCase       :     Optional[Any]        =		softening_factor







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







    def 				lowercase_    (							self      ,					SCREAMING_SNAKE_CASE_     )    ->					None:






         for bodya in self.bodies:
              __lowerCamelCase       :     int        =		0.0
              __lowerCamelCase       :     Optional[Any]        =		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       :     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(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       UpperCAmelCase__ (     UpperCAmelCase_   :    List[Any]				,   UpperCAmelCase_   :    Dict				,   UpperCAmelCase_   :    List[str]							)					->		List[Any]:
     body_system.update_system(A_							)

     # Update the positions of the patches
     for patch, body in zip(A_				,   body_system.bodies							):
          __lowerCamelCase       :     List[Any]        =		(body.position_x, body.position_y)



def       UpperCAmelCase__ (     UpperCAmelCase_   :    List[str]				,   UpperCAmelCase_   :    Optional[int]				,   UpperCAmelCase_   :    Tuple = -1				,   UpperCAmelCase_   :    Union[str, Any] = 1				,   UpperCAmelCase_   :    str = -1				,   UpperCAmelCase_   :    List[Any] = 1				,   )					->		str:
     __lowerCamelCase       :     Optional[Any]        =		plt.figure()
     fig.canvas.set_window_title(A_							)
     __lowerCamelCase       :     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       :     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(A_							)

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

     __lowerCamelCase       :     Tuple        =		animation.FuncAnimation(  # noqa: F841
         A_				,   A_				,   interval=A_				,   blit=A_							)

     plt.show()



def       UpperCAmelCase__ (     )					->		Dict:
     __lowerCamelCase       :     Union[str, Any]        =		0.9_700_436
     __lowerCamelCase       :     Tuple        =		-0.24_308_753
     __lowerCamelCase       :     Dict        =		0.466_203_685
     __lowerCamelCase       :     List[Any]        =		0.43_236_573

     __lowerCamelCase       :     Tuple        =		[
         Body(A_				,   A_				,   A_				,   A_				,   size=0.2				,   color='red'							),
         Body(-position_x				,   -position_y				,   A_				,   A_				,   size=0.2				,   color='green'							),
         Body(0				,   0				,   -2 * velocity_x				,   -2 * velocity_y				,   size=0.2				,   color='blue'							),
     ]
     return BodySystem(A_				,   time_factor=3							)



def       UpperCAmelCase__ (     )					->		int:
     __lowerCamelCase       :     Any        =		7.3_476e22
     __lowerCamelCase       :     str        =		5.972e24
     __lowerCamelCase       :     Optional[int]        =		10_22
     __lowerCamelCase       :     Any        =		3_84_39_90_00
     __lowerCamelCase       :     Dict        =		6.674e-11

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

     __lowerCamelCase       :     Tuple        =		Body(-earth_moon_distance				,   0				,   0				,   A_				,   A_				,   10_00_00_00				,   'grey'							)
     __lowerCamelCase       :     Dict        =		Body(0				,   0				,   0				,   A_				,   A_				,   50_00_00_00				,   'blue'							)
     return BodySystem([earth, moon]				,   A_				,   time_factor=1_00_00_00							)



def       UpperCAmelCase__ (     )					->		List[Any]:
     __lowerCamelCase       :     Optional[Any]        =		[]
     for _ in range(10							):
          __lowerCamelCase       :     Optional[int]        =		random.uniform(-0.5				,   0.5							)
          __lowerCamelCase       :     str        =		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							)				,   A_				,   A_				,   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(A_				,   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(),
          -430000000,
          430000000,
          -430000000,
          430000000,
      )
      plot("""Random system with many bodies""", example_a(), -1.5, 1.5, -1.5, 1.5)




'''simple docstring'''



import glob
import os

from get_test_info import get_tester_classes


if __name__ == "__main__":
      A__		: Optional[int]												=  []

      A__		: List[Any]												=  os.path.join("""tests""", """models""", """**""", """test_modeling_*.py""")
      A__		: Optional[int]												=  glob.glob(pattern)
      # TODO: deal with TF/Flax too
      A__		: List[str]												=  [
          x for x in test_files if not (x.startswith("""test_modeling_tf_""") or x.startswith("""test_modeling_flax_"""))
      ]

      for test_file in test_files:
            A__		: Tuple												=  get_tester_classes(test_file)
            for tester_class in tester_classes:
                  # A few tester classes don't have `parent` parameter in `__init__`.
                  # TODO: deal this better
                  try:
                        A__		: Tuple												=  tester_class(parent=None)
                  except Exception:
                        continue
                  if hasattr(tester, """get_config"""):
                        A__		: Any												=  tester.get_config()
                        for k, v in config.to_dict().items():
                              if isinstance(v, int):
                                    A__		: List[Any]												=  None
                                    if k in ["vocab_size"]:
                                          A__		: Any												=  100
                                    elif k in ["max_position_embeddings"]:
                                          A__		: List[Any]												=  128
                                    elif k in ["hidden_size", "d_model"]:
                                          A__		: List[str]												=  40
                                    elif k == ["num_layers", "num_hidden_layers", "num_encoder_layers", "num_decoder_layers"]:
                                          A__		: str												=  5
                                    if target is not None and v > target:
                                          failures.append(
                                              f'''{tester_class.__name__} will produce a `config` of type `{config.__class__.__name__}`'''
                                              f''' with config["{k}"] = {v} which is too large for testing! Set its value to be smaller'''
                                              f''' than {target}.'''
                                          )

      if len(failures) > 0:
            raise Exception(f'''There were {len(failures)} failures:\n''' + """\n""".join(failures))






