






"""simple docstring"""
# This code is adapted from OpenAI's release
# https://github.com/openai/human-eval/blob/master/human_eval/execution.py

import contextlib
import faulthandler
import io
import multiprocessing
import os
import platform
import signal
import tempfile






def       __UpperCamelCase						(		snake_case__ , snake_case__ , snake_case__ , snake_case__       ):
	A_		:    List[str]						     = multiprocessing.Manager()
	A_		:    Union[str, Any]						     = manager.list()

	A_		:    List[Any]						     = multiprocessing.Process(target=snake_case__ , args=(check_program, result, timeout)       )
	p.start()
	p.join(timeout=timeout + 1       )
	if p.is_alive():
		p.kill()

	if not result:
		result.append("""timed out"""       )

	return {
	    "task_id": task_id,
	    "passed": result[0] == "passed",
	    "result": result[0],
	    "completion_id": completion_id,
	}






def       __UpperCamelCase						(		snake_case__ , snake_case__ , snake_case__       ):
	with create_tempdir():
		# These system calls are needed when cleaning up tempdir.
		import os
		import shutil

		A_		:    Optional[int]						     = shutil.rmtree
		A_		:    Union[str, Any]						     = os.rmdir
		A_		:    int						     = os.chdir

		# Disable functionalities that can make destructive changes to the test.
		reliability_guard()

		# Run program.
		try:
			A_		:    Optional[Any]						     = {}
			with swallow_io():
				with time_limit(snake_case__       ):
					exec(snake_case__ , snake_case__       )
			result.append("""passed"""       )
		except TimeoutException:
			result.append("""timed out"""       )
		except BaseException as e:
			result.append(F"""failed: {e}"""       )

		# Needed for cleaning up.
		A_		:    List[Any]						     = rmtree
		A_		:    Any						     = rmdir
		A_		:    Optional[int]						     = chdir






@contextlib.contextmanager
def       __UpperCamelCase						(		snake_case__       ):
	def signal_handler(snake_case__ , snake_case__       ):
		raise TimeoutException("""Timed out!"""       )

	signal.setitimer(signal.ITIMER_REAL , snake_case__       )
	signal.signal(signal.SIGALRM , snake_case__       )
	try:
		yield
	finally:
		signal.setitimer(signal.ITIMER_REAL , 0       )






@contextlib.contextmanager
def       __UpperCamelCase						(		):
	A_		:    Dict						     = WriteOnlyStringIO()
	with contextlib.redirect_stdout(snake_case__       ):
		with contextlib.redirect_stderr(snake_case__       ):
			with redirect_stdin(snake_case__       ):
				yield






@contextlib.contextmanager
def       __UpperCamelCase						(		):
	with tempfile.TemporaryDirectory() as dirname:
		with chdir(snake_case__       ):
			yield dirname



class   SCREAMING_SNAKE_CASE	(					_SCREAMING_SNAKE_CASE    ):





	"""simple docstring"""




	pass






class   SCREAMING_SNAKE_CASE	(					io.StringIO    ):





	"""simple docstring"""




	def  lowerCamelCase(self  ,  *lowerCAmelCase_  ,  **lowerCAmelCase_				):
		raise OSError





	def  lowerCamelCase(self  ,  *lowerCAmelCase_  ,  **lowerCAmelCase_				):
		raise OSError





	def  lowerCamelCase(self  ,  *lowerCAmelCase_  ,  **lowerCAmelCase_				):
		raise OSError





	def  lowerCamelCase(self  ,  *lowerCAmelCase_  ,  **lowerCAmelCase_				):
		return False






class   SCREAMING_SNAKE_CASE	(					contextlib._RedirectStream    ):  # type: ignore





	"""simple docstring"""




	_A							:					List[Any] 			=					"""stdin"""






@contextlib.contextmanager
def       __UpperCamelCase						(		snake_case__       ):
	if root == ".":
		yield
		return
	A_		:    List[str]						     = os.getcwd()
	os.chdir(snake_case__       )
	try:
		yield
	except BaseException as exc:
		raise exc
	finally:
		os.chdir(snake_case__       )






def       __UpperCamelCase						(		snake_case__=None       ):

	if maximum_memory_bytes is not None:
		import resource

		resource.setrlimit(resource.RLIMIT_AS , (maximum_memory_bytes, maximum_memory_bytes)       )
		resource.setrlimit(resource.RLIMIT_DATA , (maximum_memory_bytes, maximum_memory_bytes)       )
		if not platform.uname().system == "Darwin":
			resource.setrlimit(resource.RLIMIT_STACK , (maximum_memory_bytes, maximum_memory_bytes)       )

	faulthandler.disable()

	import builtins

	A_		:    Tuple						     = None
	A_		:    Optional[int]						     = None

	import os

	A_		:    List[Any]						     = """1"""

	A_		:    List[Any]						     = None
	A_		:    Any						     = None
	A_		:    int						     = None
	A_		:    Any						     = None
	A_		:    str						     = None
	A_		:    Any						     = None
	A_		:    List[str]						     = None
	A_		:    Optional[Any]						     = None
	A_		:    List[str]						     = None
	A_		:    List[str]						     = None
	A_		:    Optional[Any]						     = None
	A_		:    int						     = None
	A_		:    Dict						     = None
	A_		:    List[Any]						     = None
	A_		:    List[Any]						     = None
	A_		:    Tuple						     = None
	A_		:    str						     = None
	A_		:    Dict						     = None
	A_		:    int						     = None
	A_		:    Optional[Any]						     = None
	A_		:    List[str]						     = None
	A_		:    Any						     = None
	A_		:    Dict						     = None
	A_		:    List[Any]						     = None
	A_		:    str						     = None
	A_		:    Optional[int]						     = None
	A_		:    str						     = None

	import shutil

	A_		:    int						     = None
	A_		:    Optional[Any]						     = None
	A_		:    Union[str, Any]						     = None

	import subprocess

	A_		:    int						     = None  # type: ignore

	A_		:    str						     = None

	import sys

	A_		:    Union[str, Any]						     = None
	A_		:    Union[str, Any]						     = None
	A_		:    Optional[int]						     = None
	A_		:    Dict						     = None
	A_		:    Tuple						     = None









"""simple docstring"""
from __future__ import annotations

from decimal import Decimal
from math import *  # noqa: F403

from sympy import diff






def       __UpperCamelCase						(		snake_case__ , snake_case__ , snake_case__ = 10**-10       ):
	A_		:    Tuple						     = a
	while True:
		A_		:    List[str]						     = Decimal(snake_case__       ) - (
		    Decimal(eval(snake_case__       )       ) / Decimal(eval(str(diff(snake_case__       )       )       )       )  # noqa: S307
		)
		# This number dictates the accuracy of the answer
		if abs(eval(snake_case__       )       ) < precision:  # noqa: S307
			return float(snake_case__       )


# Let's Execute
if __name__ == "__main__":
							# Find root of trigonometric function
							# Find value of pi
							print(F'The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}')
							# Find root of polynomial
							print(F'The root of x**2 - 5*x + 2 = 0 is {newton_raphson("x**2 - 5*x + 2", 0.4)}')
							# Find Square Root of 5
							print(F'The root of log(x) - 1 = 0 is {newton_raphson("log(x) - 1", 2)}')
							# Exponential Roots
							print(F'The root of exp(x) - 1 = 0 is {newton_raphson("exp(x) - 1", 0)}')

