




from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
lowerCamelCase__				:     str			       =							20

# Time between time steps in seconds
lowerCamelCase__				:     str			       =							INTERVAL / 1_000





class  lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self						:	Optional[int]       ,       _lowerCAmelCase						:	int       ,       _lowerCAmelCase						:	Optional[int]       ,       _lowerCAmelCase						:	Any       ,       _lowerCAmelCase						:	Dict       ,       _lowerCAmelCase						:	Tuple = 1.0       ,       _lowerCAmelCase						:	Optional[Any] = 1.0       ,       _lowerCAmelCase						:	Union[str, Any] = "blue"       ,       ):
       SCREAMING_SNAKE_CASE_					=    position_x
       SCREAMING_SNAKE_CASE_					=    position_y
       SCREAMING_SNAKE_CASE_					=    velocity_x
       SCREAMING_SNAKE_CASE_					=    velocity_y
       SCREAMING_SNAKE_CASE_					=    mass
       SCREAMING_SNAKE_CASE_					=    size
       SCREAMING_SNAKE_CASE_					=    color



 @property
 def    lowerCAmelCase_						(							self						:	Any		):
       return self.position_x, self.position_y



 @property
 def    lowerCAmelCase_						(							self						:	Tuple		):
       return self.velocity_x, self.velocity_y



 def    lowerCAmelCase_						(							self						:	Union[str, Any]       ,       _lowerCAmelCase						:	List[str]       ,       _lowerCAmelCase						:	List[Any]       ,       _lowerCAmelCase						:	int		):
       self.velocity_x += force_x * delta_time
       self.velocity_y += force_y * delta_time




 def    lowerCAmelCase_						(							self						:	int       ,       _lowerCAmelCase						:	List[str]		):
       self.position_x += self.velocity_x * delta_time
       self.position_y += self.velocity_y * delta_time





class  lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self						:	List[str]       ,       _lowerCAmelCase						:	Dict       ,       _lowerCAmelCase						:	str = 1.0       ,       _lowerCAmelCase						:	int = 1.0       ,       _lowerCAmelCase						:	int = 0.0       ,       ):
       SCREAMING_SNAKE_CASE_					=    bodies
       SCREAMING_SNAKE_CASE_					=    gravitation_constant
       SCREAMING_SNAKE_CASE_					=    time_factor
       SCREAMING_SNAKE_CASE_					=    softening_factor



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




 def    lowerCAmelCase_						(							self						:	Union[str, Any]       ,       _lowerCAmelCase						:	str		):
       for bodya in self.bodies:
             SCREAMING_SNAKE_CASE_					=    0.0
             SCREAMING_SNAKE_CASE_					=    0.0
             for bodya in self.bodies:
                   if bodya != bodya:
                         SCREAMING_SNAKE_CASE_					=    bodya.position_x - bodya.position_x
                         SCREAMING_SNAKE_CASE_					=    bodya.position_y - bodya.position_y

                         # Calculation of the distance using Pythagoras's theorem
                         # Extra factor due to the softening technique
                         SCREAMING_SNAKE_CASE_					=    (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_							(   __UpperCAmelCase		:			BodySystem    ,    __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			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							):
            SCREAMING_SNAKE_CASE_					=    (body.position_x, body.position_y)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			BodySystem    ,    __UpperCAmelCase		:			float = -1    ,    __UpperCAmelCase		:			float = 1    ,    __UpperCAmelCase		:			float = -1    ,    __UpperCAmelCase		:			float = 1    ,    )      ->				None:
      SCREAMING_SNAKE_CASE_					=    plt.figure()
      fig.canvas.set_window_title(snake_case__							)
      SCREAMING_SNAKE_CASE_					=    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
      SCREAMING_SNAKE_CASE_					=    [
          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(__UpperCAmelCase		:			int							) -> list[plt.Circle]:
            update_step(snake_case__    ,    snake_case__    ,    snake_case__							)
            return patches

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

      plt.show()

def       UpperCAmelCase_							(   )      ->				BodySystem:
      SCREAMING_SNAKE_CASE_					=    0.9_7_0_0_4_3_6
      SCREAMING_SNAKE_CASE_					=    -0.2_4_3_0_8_7_5_3
      SCREAMING_SNAKE_CASE_					=    0.4_6_6_2_0_3_6_8_5
      SCREAMING_SNAKE_CASE_					=    0.4_3_2_3_6_5_7_3

      SCREAMING_SNAKE_CASE_					=    [
          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:
      SCREAMING_SNAKE_CASE_					=    7.3476E22
      SCREAMING_SNAKE_CASE_					=    5.972E24
      SCREAMING_SNAKE_CASE_					=    10_22
      SCREAMING_SNAKE_CASE_					=    3_84_39_90_00
      SCREAMING_SNAKE_CASE_					=    6.674E-11

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

      SCREAMING_SNAKE_CASE_					=    Body(-earth_moon_distance    ,    0    ,    0    ,    snake_case__    ,    snake_case__    ,    10_00_00_00    ,    'grey'							)
      SCREAMING_SNAKE_CASE_					=    Body(0    ,    0    ,    0    ,    snake_case__    ,    snake_case__    ,    50_00_00_00    ,    'blue'							)
      return BodySystem([earth, moon]    ,    snake_case__    ,    time_factor=1_00_00_00							)

def       UpperCAmelCase_							(   )      ->				BodySystem:
      SCREAMING_SNAKE_CASE_					=    []
      for _ in range(10							):
            SCREAMING_SNAKE_CASE_					=    random.uniform(-0.5    ,    0.5							)
            SCREAMING_SNAKE_CASE_					=    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=0.0_5    ,    )							)
            bodies.append(
                Body(
                    random.uniform(-0.5    ,    0.5							)    ,    random.uniform(-0.5    ,    0.5							)    ,    -velocity_x    ,    -velocity_y    ,    size=0.0_5    ,    )							)
      return BodySystem(snake_case__    ,    0.0_1    ,    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)





import os
from pathlib import Path
from typing import Dict, List

import fire
import torch

from transformers import AutoModelForSeqaSeqLM, AutoTokenizer
from transformers.utils.logging import get_logger


lowerCamelCase__				:     Optional[Any]			       =							get_logger(__name__)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str							)      ->				List[str]:
      if text.startswith(__UpperCAmelCase							):
            return text[len(__UpperCAmelCase							) :]
      return text  # or whatever

def       UpperCAmelCase_							(   __UpperCAmelCase		:			Union[str, Any]							)      ->				List[Any]:
      return {remove_prefix(__UpperCAmelCase    ,    'model.'							): v for k, v in sd.items()}

def       UpperCAmelCase_							(   __UpperCAmelCase		:			List[Dict[str, torch.Tensor]]							)      ->				Dict:
      SCREAMING_SNAKE_CASE_					=    {}
      for k in state_dicts[0].keys():
            SCREAMING_SNAKE_CASE_					=    [sd[k] for sd in state_dicts]
            SCREAMING_SNAKE_CASE_					=    sum(__UpperCAmelCase							) / len(__UpperCAmelCase							)
            assert isinstance(__UpperCAmelCase    ,    torch.Tensor							)
            SCREAMING_SNAKE_CASE_					=    new_t
      return new_sd

def       UpperCAmelCase_							(   __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str							)      ->				None:
      SCREAMING_SNAKE_CASE_					=    AutoModelForSeqaSeqLM.from_pretrained(__UpperCAmelCase							)
      if os.path.isfile(__UpperCAmelCase							):
            SCREAMING_SNAKE_CASE_					=    [pl_ckpt_path]
      else:
            assert os.path.isdir(__UpperCAmelCase							)
            SCREAMING_SNAKE_CASE_					=    list(Path(__UpperCAmelCase							).glob('*.ckpt'							)							)
            assert ckpt_files, f"could not find any ckpt files inside the {pl_ckpt_path} directory"

      if len(__UpperCAmelCase							) > 1:
            logger.info(f"averaging the weights of {ckpt_files}"							)

      SCREAMING_SNAKE_CASE_					=    [sanitize(torch.load(__UpperCAmelCase    ,    map_location='cpu'							)['state_dict']							) for x in ckpt_files]
      SCREAMING_SNAKE_CASE_					=    average_state_dicts(__UpperCAmelCase							)

      SCREAMING_SNAKE_CASE_		,				SCREAMING_SNAKE_CASE_					=    hf_model.load_state_dict(__UpperCAmelCase    ,    strict=__UpperCAmelCase							)
      assert not missing, f"missing keys: {missing}"
      hf_model.save_pretrained(__UpperCAmelCase							)
      try:
            SCREAMING_SNAKE_CASE_					=    AutoTokenizer.from_pretrained(__UpperCAmelCase							)
            tok.save_pretrained(__UpperCAmelCase							)
      except Exception:
            pass
            # dont copy tokenizer if cant


if __name__ == "__main__":
   fire.Fire(convert_pl_to_hf)