
"""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      _SCREAMING_SNAKE_CASE   :






			def __init__(   self			,  __A			,  __A			,  __A			,  __A			,  __A = 1.0			,  __A = 1.0			,  __A = "blue"			,  )     ->	str:
						lowerCAmelCase_       :str     	=    position_x
						lowerCAmelCase_       :List[Any]     	=    position_y
						lowerCAmelCase_       :List[str]     	=    velocity_x
						lowerCAmelCase_       :str     	=    velocity_y
						lowerCAmelCase_       :Tuple     	=    mass
						lowerCAmelCase_       :int     	=    size
						lowerCAmelCase_       :Optional[int]     	=    color






			@property
			def 					__lowerCAmelCase					(   self			)     ->	Any:
						return self.position_x, self.position_y






			@property
			def 					__lowerCAmelCase					(   self			)     ->	str:
						return self.velocity_x, self.velocity_y






			def 					__lowerCAmelCase					(   self			,  __A			,  __A			,  __A			)     ->	int:
						self.velocity_x += force_x * delta_time
						self.velocity_y += force_y * delta_time






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	int:
						self.position_x += self.velocity_x * delta_time
						self.position_y += self.velocity_y * delta_time




class      _SCREAMING_SNAKE_CASE   :






			def __init__(   self			,  __A			,  __A = 1.0			,  __A = 1.0			,  __A = 0.0			,  )     ->	str:
						lowerCAmelCase_       :List[Any]     	=    bodies
						lowerCAmelCase_       :Union[str, Any]     	=    gravitation_constant
						lowerCAmelCase_       :Dict     	=    time_factor
						lowerCAmelCase_       :Optional[int]     	=    softening_factor






			def __len__(   self			)     ->	Optional[Any]:
						return len(self.bodies			)






			def 					__lowerCAmelCase					(   self			,  __A			)     ->	Union[str, Any]:

						for bodya in self.bodies:
									lowerCAmelCase_       :List[str]     	=    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_       :Dict     	=    bodya.position_y - bodya.position_y

															# Calculation of the distance using Pythagoras's theorem
															# Extra factor due to the softening technique
															lowerCAmelCase_       :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(snake_case_			,  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 		_snake_case			(      lowercase__						:    List[Any] ,	lowercase__						:    List[str] ,	lowercase__						:    str						)    ->							Dict:


			'''simple docstring'''





			body_system.update_system(_UpperCAmelCase						)

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






def 		_snake_case			(      lowercase__						:    List[Any] ,	lowercase__						:    int ,	lowercase__						:    Optional[int] = -1 ,	lowercase__						:    Any = 1 ,	lowercase__						:    List[Any] = -1 ,	lowercase__						:    Optional[int] = 1 ,	)    ->							Union[str, Any]:


			'''simple docstring'''





			lowerCAmelCase_       :Dict     	=    plt.figure()
			fig.canvas.set_window_title(_UpperCAmelCase						)
			lowerCAmelCase_       :Tuple     	=    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_       :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(_UpperCAmelCase						)

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

			lowerCAmelCase_       :Dict     	=    animation.FuncAnimation(  # noqa: F841
			    _UpperCAmelCase ,	_UpperCAmelCase ,	interval=_UpperCAmelCase ,	blit=_UpperCAmelCase						)

			plt.show()






def 		_snake_case			(      )    ->							Tuple:


			'''simple docstring'''





			lowerCAmelCase_       :List[Any]     	=    0.9700436
			lowerCAmelCase_       :Optional[int]     	=    -0.24308753
			lowerCAmelCase_       :Dict     	=    0.466203685
			lowerCAmelCase_       :Optional[int]     	=    0.43236573

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






def 		_snake_case			(      )    ->							Optional[int]:


			'''simple docstring'''





			lowerCAmelCase_       :int     	=    7.3476E22
			lowerCAmelCase_       :Union[str, Any]     	=    5.972E24
			lowerCAmelCase_       :Dict     	=    1_0_2_2
			lowerCAmelCase_       :Optional[int]     	=    3_8_4_3_9_9_0_0_0
			lowerCAmelCase_       :List[str]     	=    6.674E-11

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

			lowerCAmelCase_       :Optional[int]     	=    Body(-earth_moon_distance ,	0 ,	0 ,	_UpperCAmelCase ,	_UpperCAmelCase ,	1_0_0_0_0_0_0_0 ,	"""grey"""						)
			lowerCAmelCase_       :Optional[Any]     	=    Body(0 ,	0 ,	0 ,	_UpperCAmelCase ,	_UpperCAmelCase ,	5_0_0_0_0_0_0_0 ,	"""blue"""						)
			return BodySystem([earth, moon] ,	_UpperCAmelCase ,	time_factor=1_0_0_0_0_0_0						)






def 		_snake_case			(      )    ->							List[Any]:


			'''simple docstring'''





			lowerCAmelCase_       :Optional[Any]     	=    []
			for _ in range(1_0						):
						lowerCAmelCase_       :Union[str, Any]     	=    random.uniform(-0.5 ,	0.5						)
						lowerCAmelCase_       :List[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						) ,	_UpperCAmelCase ,	_UpperCAmelCase ,	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(_UpperCAmelCase ,	0.01 ,	1_0 ,	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"""




import hashlib
import importlib.util
import json
import os
import pathlib
from types import ModuleType

import pytest
import requests

lowerCamelCase_	:		int         =   pathlib.Path.cwd().joinpath('project_euler')
lowerCamelCase_	:		str         =   pathlib.Path.cwd().joinpath(
    'scripts', 'project_euler_answers.json'
)

with open(PROJECT_EULER_ANSWERS_PATH) as file_handle:
   lowerCamelCase_	:		dict[str, str]         =   json.load(file_handle)





def 		UpperCAmelCase__						(	_UpperCAmelCase   ):






  """simple docstring"""





  A_    :			List[str]									=    importlib.util.spec_from_file_location(file_path.name					,   str(_UpperCAmelCase   )   )
  A_    :			int									=    importlib.util.module_from_spec(_UpperCAmelCase   )  # type: ignore
  spec.loader.exec_module(_UpperCAmelCase   )  # type: ignore
  return module





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  A_    :			Tuple									=    []
  for problem_dir_path in PROJECT_EULER_DIR_PATH.iterdir():
    if problem_dir_path.is_file() or problem_dir_path.name.startswith('_'   ):
      continue
    for file_path in problem_dir_path.iterdir():
      if file_path.suffix != ".py" or file_path.name.startswith(('_', 'test')   ):
        continue
      solution_file_paths.append(_UpperCAmelCase   )
  return solution_file_paths





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  with open(os.environ['GITHUB_EVENT_PATH']   ) as file:
    A_    :			str									=    json.load(_UpperCAmelCase   )
  return event["pull_request"]["url"] + "/files"





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  A_    :			Any									=    []
  A_    :			Optional[Any]									=    {
      'Accept': 'application/vnd.github.v3+json',
      'Authorization': 'token ' + os.environ['GITHUB_TOKEN'],
  }
  A_    :			Union[str, Any]									=    requests.get(get_files_url()					,   headers=_UpperCAmelCase   ).json()
  for file in files:
    A_    :			Optional[int]									=    pathlib.Path.cwd().joinpath(file['filename']   )
    if (
        filepath.suffix != ".py"
        or filepath.name.startswith(('_', 'test')   )
        or not filepath.name.startswith('sol'   )
    ):
      continue
    solution_file_paths.append(_UpperCAmelCase   )
  return solution_file_paths





def 		UpperCAmelCase__						(	):






  """simple docstring"""





  if os.environ.get('CI'   ) and os.environ.get('GITHUB_EVENT_NAME'   ) == "pull_request":
    # Return only if there are any, otherwise default to all solutions
    if filepaths := added_solution_file_path():
      return filepaths
  return all_solution_file_paths()





@pytest.mark.parametrize(
    'solution_path'					,   collect_solution_file_paths()					,   ids=lambda _UpperCAmelCase   : f"""{path.parent.name}/{path.name}"""					,   )
def 		UpperCAmelCase__						(	_UpperCAmelCase   ):






  """simple docstring"""





  A_    :			str									=    solution_path.parent.name[8:].zfill(3   )
  A_    :			str									=    PROBLEM_ANSWERS[problem_number]
  A_    :			List[Any]									=    convert_path_to_module(_UpperCAmelCase   )
  A_    :			Optional[int]									=    str(solution_module.solution()   )  # type: ignore
  A_    :			Any									=    hashlib.shaaaa(answer.encode()   ).hexdigest()
  assert (
      answer == expected
  ), f"""Expected solution to {problem_number} to have hash {expected}, got {answer}"""