


from __future__ import annotations

import random

from matplotlib import animation
from matplotlib import pyplot as plt

# Frame rate of the animation
A :	Any												=     2_0

# Time between time steps in seconds
A :	Optional[Any]												=     INTERVAL / 1_0_0_0



class 							A					:
					'''simple docstring'''






					def __init__(self					:		Optional[int]   ,      _UpperCAmelCase					:		Dict   ,      _UpperCAmelCase					:		Optional[int]   ,      _UpperCAmelCase					:		List[Any]   ,      _UpperCAmelCase					:		Dict   ,      _UpperCAmelCase					:		List[Any] = 1.0   ,      _UpperCAmelCase					:		List[str] = 1.0   ,      _UpperCAmelCase					:		Optional[Any] = "blue"   ,      )		->     str:




							"""simple docstring"""


							lowercase__      =	position_x
							lowercase__      =	position_y
							lowercase__      =	velocity_x
							lowercase__      =	velocity_y
							lowercase__      =	mass
							lowercase__      =	size
							lowercase__      =	color

					@property
					def 						lowerCamelCase__  (self					:		Optional[int]	)		->     Union[str, Any]:




							"""simple docstring"""


							return self.position_x, self.position_y

					@property
					def 						lowerCamelCase__  (self					:		Optional[int]	)		->     Tuple:




							"""simple docstring"""


							return self.velocity_x, self.velocity_y

					def 						lowerCamelCase__  (self					:		Union[str, Any]   ,      _UpperCAmelCase					:		Tuple   ,      _UpperCAmelCase					:		Optional[Any]   ,      _UpperCAmelCase					:		Optional[Any]	)		->     Tuple:




							"""simple docstring"""


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


					def 						lowerCamelCase__  (self					:		Optional[int]   ,      _UpperCAmelCase					:		Tuple	)		->     Tuple:




							"""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					:		Tuple   ,      _UpperCAmelCase					:		List[str]   ,      _UpperCAmelCase					:		Optional[int] = 1.0   ,      _UpperCAmelCase					:		Optional[int] = 1.0   ,      _UpperCAmelCase					:		List[Any] = 0.0   ,      )		->     Tuple:




							"""simple docstring"""


							lowercase__      =	bodies
							lowercase__      =	gravitation_constant
							lowercase__      =	time_factor
							lowercase__      =	softening_factor

					def __len__(self					:		Any	)		->     List[str]:




							"""simple docstring"""


							return len(self.bodies	)


					def 						lowerCamelCase__  (self					:		Optional[int]   ,      _UpperCAmelCase					:		Optional[int]	)		->     str:




							"""simple docstring"""


							for bodya in self.bodies:
									lowercase__      =	0.0
									lowercase__      =	0.0
									for bodya in self.bodies:
											if bodya != bodya:
													lowercase__      =	bodya.position_x - bodya.position_x
													lowercase__      =	bodya.position_y - bodya.position_y

													# Calculation of the distance using Pythagoras's theorem
													# Extra factor due to the softening technique
													lowercase__      =	(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(lowerCamelCase__   ,      lowerCamelCase__   ,      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      (			__magic_name__  :							str					,					__magic_name__  :							Union[str, Any]					,					__magic_name__  :							Dict  )     ->						Union[str, Any]:
		"""simple docstring"""




		body_system.update_system(__magic_name__  )

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






def 				UpperCamelCase      (			__magic_name__  :							Dict					,					__magic_name__  :							Tuple					,					__magic_name__  :							List[Any] = -1					,					__magic_name__  :							List[Any] = 1					,					__magic_name__  :							List[str] = -1					,					__magic_name__  :							Optional[int] = 1					,					)     ->						Optional[int]:
		"""simple docstring"""




		lowercase__      =	plt.figure()
		fig.canvas.set_window_title(__magic_name__  )
		lowercase__      =	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__      =	[
		    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(__magic_name__  )

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

		lowercase__      =	animation.FuncAnimation(  # noqa: F841
		    __magic_name__					,					__magic_name__					,					interval=__magic_name__					,					blit=__magic_name__  )

		plt.show()






def 				UpperCamelCase      (			)     ->						List[str]:
		"""simple docstring"""




		lowercase__      =	0.9_7_0_0_4_3_6
		lowercase__      =	-0.2_4_3_0_8_7_5_3
		lowercase__      =	0.4_6_6_2_0_3_6_8_5
		lowercase__      =	0.4_3_2_3_6_5_7_3

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






def 				UpperCamelCase      (			)     ->						List[Any]:
		"""simple docstring"""




		lowercase__      =	7.3_4_7_6E2_2
		lowercase__      =	5.9_7_2E2_4
		lowercase__      =	1022
		lowercase__      =	3_8439_9000
		lowercase__      =	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__      =	earth_mass * velocity_dif / (earth_mass + moon_mass)
		lowercase__      =	moon_velocity - velocity_dif

		lowercase__      =	Body(-earth_moon_distance					,					0					,					0					,					__magic_name__					,					__magic_name__					,					1000_0000					,					"""grey"""  )
		lowercase__      =	Body(0					,					0					,					0					,					__magic_name__					,					__magic_name__					,					5000_0000					,					"""blue"""  )
		return BodySystem([earth, moon]					,					__magic_name__					,					time_factor=100_0000  )






def 				UpperCamelCase      (			)     ->						Any:
		"""simple docstring"""




		lowercase__      =	[]
		for _ in range(10  ):
				lowercase__      =	random.uniform(-0.5					,					0.5  )
				lowercase__      =	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  )					,					__magic_name__					,					__magic_name__					,					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(__magic_name__					,					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(),
					    -4_3_0_0_0_0_0_0_0,
					    4_3_0_0_0_0_0_0_0,
					    -4_3_0_0_0_0_0_0_0,
					    4_3_0_0_0_0_0_0_0,
					)
					plot('Random system with many bodies', example_a(), -1.5, 1.5, -1.5, 1.5)





# 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.
import ast
import difflib
from collections.abc import Mapping
from typing import Any, Callable, Dict



class 							A					( UpperCAmelCase__							):
					'''simple docstring'''






					pass






def 				UpperCamelCase      (			__magic_name__  :							str					,					__magic_name__  :							Dict[str, Callable]					,					__magic_name__  :							List[Any]=None					,					__magic_name__  :							int=False  )     ->						int:
		"""simple docstring"""




		try:
				lowercase__      =	ast.parse(__magic_name__  )
		except SyntaxError as e:
				print("""The code generated by the agent is not valid.\n"""					,					__magic_name__  )
				return
		if state is None:
				lowercase__      =	{}
		lowercase__      =	None
		for idx, node in enumerate(expression.body  ):
				try:
						lowercase__      =	evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  )
				except InterpretorError as e:
						lowercase__      =	f'''Evaluation of the code stopped at line {idx} before the end because of the following error'''
						if chat_mode:
								msg += (
								    f'''. Copy paste the following error message and send it back to the agent:\nI get an error: \'{e}\''''
								)
						else:
								msg += f''':\n{e}'''
						print(__magic_name__  )
						break
				if line_result is not None:
						lowercase__      =	line_result

		return result






def 				UpperCamelCase      (			__magic_name__  :							ast.AST					,					__magic_name__  :							Dict[str, Any]					,					__magic_name__  :							Dict[str, Callable]  )     ->						Tuple:
		"""simple docstring"""




		if isinstance(__magic_name__					,					ast.Assign  ):
				# Assignement -> we evaluate the assignement which should update the state
				# We return the variable assigned as it may be used to determine the final result.
				return evaluate_assign(__magic_name__					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.Call  ):
				# Function call -> we return the value of the function call
				return evaluate_call(__magic_name__					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.Constant  ):
				# Constant -> just return the value
				return expression.value
		elif isinstance(__magic_name__					,					ast.Dict  ):
				# Dict -> evaluate all keys and values
				lowercase__      =	[evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  ) for k in expression.keys]
				lowercase__      =	[evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  ) for v in expression.values]
				return dict(zip(__magic_name__					,					__magic_name__  )  )
		elif isinstance(__magic_name__					,					ast.Expr  ):
				# Expression -> evaluate the content
				return evaluate_ast(expression.value					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.For  ):
				# For loop -> execute the loop
				return evaluate_for(__magic_name__					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.FormattedValue  ):
				# Formatted value (part of f-string) -> evaluate the content and return
				return evaluate_ast(expression.value					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.If  ):
				# If -> execute the right branch
				return evaluate_if(__magic_name__					,					__magic_name__					,					__magic_name__  )
		elif hasattr(__magic_name__					,					"""Index"""  ) and isinstance(__magic_name__					,					ast.Index  ):
				return evaluate_ast(expression.value					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.JoinedStr  ):
				return "".join([str(evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  )  ) for v in expression.values]  )
		elif isinstance(__magic_name__					,					ast.List  ):
				# List -> evaluate all elements
				return [evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  ) for elt in expression.elts]
		elif isinstance(__magic_name__					,					ast.Name  ):
				# Name -> pick up the value in the state
				return evaluate_name(__magic_name__					,					__magic_name__					,					__magic_name__  )
		elif isinstance(__magic_name__					,					ast.Subscript  ):
				# Subscript -> return the value of the indexing
				return evaluate_subscript(__magic_name__					,					__magic_name__					,					__magic_name__  )
		else:
				# For now we refuse anything else. Let's add things as we need them.
				raise InterpretorError(f'''{expression.__class__.__name__} is not supported.'''  )






def 				UpperCamelCase      (			__magic_name__  :							Any					,					__magic_name__  :							Union[str, Any]					,					__magic_name__  :							Dict  )     ->						str:
		"""simple docstring"""




		lowercase__      =	assign.targets
		lowercase__      =	evaluate_ast(assign.value					,					__magic_name__					,					__magic_name__  )

		if len(__magic_name__  ) == 1:
				lowercase__      =	result
		else:
				if len(__magic_name__  ) != len(__magic_name__  ):
						raise InterpretorError(f'''Expected {len(__magic_name__  )} values but got {len(__magic_name__  )}.'''  )
				for var_name, r in zip(__magic_name__					,					__magic_name__  ):
						lowercase__      =	r
		return result






def 				UpperCamelCase      (			__magic_name__  :							Any					,					__magic_name__  :							Dict					,					__magic_name__  :							Union[str, Any]  )     ->						int:
		"""simple docstring"""




		if not isinstance(call.func					,					ast.Name  ):
				raise InterpretorError(
				    f'''It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func} of '''
				    f'''type {type(call.func  )}.'''  )
		lowercase__      =	call.func.id
		if func_name not in tools:
				raise InterpretorError(
				    f'''It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func.id}).'''  )

		lowercase__      =	tools[func_name]
		# Todo deal with args
		lowercase__      =	[evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  ) for arg in call.args]
		lowercase__      =	{keyword.arg: evaluate_ast(keyword.value					,					__magic_name__					,					__magic_name__  ) for keyword in call.keywords}
		return func(*__magic_name__					,					**__magic_name__  )






def 				UpperCamelCase      (			__magic_name__  :							Tuple					,					__magic_name__  :							Any					,					__magic_name__  :							Optional[Any]  )     ->						List[Any]:
		"""simple docstring"""




		lowercase__      =	evaluate_ast(subscript.slice					,					__magic_name__					,					__magic_name__  )
		lowercase__      =	evaluate_ast(subscript.value					,					__magic_name__					,					__magic_name__  )
		if isinstance(__magic_name__					,					(list, tuple)  ):
				return value[int(__magic_name__  )]
		if index in value:
				return value[index]
		if isinstance(__magic_name__					,					__magic_name__  ) and isinstance(__magic_name__					,					__magic_name__  ):
				lowercase__      =	difflib.get_close_matches(__magic_name__					,					list(value.keys()  )  )
				if len(__magic_name__  ) > 0:
						return value[close_matches[0]]

		raise InterpretorError(f'''Could not index {value} with \'{index}\'.'''  )






def 				UpperCamelCase      (			__magic_name__  :							Dict					,					__magic_name__  :							Dict					,					__magic_name__  :							int  )     ->						int:
		"""simple docstring"""




		if name.id in state:
				return state[name.id]
		lowercase__      =	difflib.get_close_matches(name.id					,					list(state.keys()  )  )
		if len(__magic_name__  ) > 0:
				return state[close_matches[0]]
		raise InterpretorError(f'''The variable `{name.id}` is not defined.'''  )






def 				UpperCamelCase      (			__magic_name__  :							Union[str, Any]					,					__magic_name__  :							List[str]					,					__magic_name__  :							Tuple  )     ->						List[str]:
		"""simple docstring"""




		if len(condition.ops  ) > 1:
				raise InterpretorError("""Cannot evaluate conditions with multiple operators"""  )

		lowercase__      =	evaluate_ast(condition.left					,					__magic_name__					,					__magic_name__  )
		lowercase__      =	condition.ops[0]
		lowercase__      =	evaluate_ast(condition.comparators[0]					,					__magic_name__					,					__magic_name__  )

		if isinstance(__magic_name__					,					ast.Eq  ):
				return left == right
		elif isinstance(__magic_name__					,					ast.NotEq  ):
				return left != right
		elif isinstance(__magic_name__					,					ast.Lt  ):
				return left < right
		elif isinstance(__magic_name__					,					ast.LtE  ):
				return left <= right
		elif isinstance(__magic_name__					,					ast.Gt  ):
				return left > right
		elif isinstance(__magic_name__					,					ast.GtE  ):
				return left >= right
		elif isinstance(__magic_name__					,					ast.Is  ):
				return left is right
		elif isinstance(__magic_name__					,					ast.IsNot  ):
				return left is not right
		elif isinstance(__magic_name__					,					ast.In  ):
				return left in right
		elif isinstance(__magic_name__					,					ast.NotIn  ):
				return left not in right
		else:
				raise InterpretorError(f'''Operator not supported: {comparator}'''  )






def 				UpperCamelCase      (			__magic_name__  :							Union[str, Any]					,					__magic_name__  :							str					,					__magic_name__  :							Dict  )     ->						Optional[int]:
		"""simple docstring"""




		lowercase__      =	None
		if evaluate_condition(if_statement.test					,					__magic_name__					,					__magic_name__  ):
				for line in if_statement.body:
						lowercase__      =	evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  )
						if line_result is not None:
								lowercase__      =	line_result
		else:
				for line in if_statement.orelse:
						lowercase__      =	evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  )
						if line_result is not None:
								lowercase__      =	line_result
		return result







def 				UpperCamelCase      (			__magic_name__  :							Any					,					__magic_name__  :							List[Any]					,					__magic_name__  :							List[Any]  )     ->						List[str]:
		"""simple docstring"""




		lowercase__      =	None
		lowercase__      =	evaluate_ast(for_loop.iter					,					__magic_name__					,					__magic_name__  )
		for counter in iterator:
				lowercase__      =	counter
				for expression in for_loop.body:
						lowercase__      =	evaluate_ast(__magic_name__					,					__magic_name__					,					__magic_name__  )
						if line_result is not None:
								lowercase__      =	line_result
		return result

