






import inspect
import os
import unittest
from pathlib import Path

import torch

import accelerate
from accelerate.test_utils import execute_subprocess_async
from accelerate.test_utils.testing import run_command


class 						_a       (  unittest.TestCase    ):






		"""simple docstring"""





		A_						=   inspect.getfile(accelerate.test_utils    )
		A_						=   os.path.sep.join(mod_file.split(os.path.sep    )[:-1] + ["""scripts""", """test_cli.py"""]    )

		A_						=   ["""accelerate""", """launch"""]
		A_						=   Path.home() / """.cache/huggingface/accelerate"""
		A_						=   """default_config.yaml"""
		A_						=   config_folder / config_file
		A_						=   config_folder / """_default_config.yaml"""

		A_						=   Path("""tests/test_configs"""    )




		@classmethod
		def    _UpperCAmelCase     (     cls )			-> Union[str, Any]:
					if cls.config_path.is_file():
								cls.config_path.rename(cls.changed_path )




		@classmethod
		def    _UpperCAmelCase     (     cls )			-> List[str]:
					if cls.changed_path.is_file():
								cls.changed_path.rename(cls.config_path )




		def    _UpperCAmelCase     (     self )			-> Optional[Any]:
					UpperCamelCase_									=     self.base_cmd
					if torch.cuda.is_available() and (torch.cuda.device_count() > 1):
								cmd += ["--multi_gpu"]
					execute_subprocess_async(cmd + [self.test_file_path]		,		env=os.environ.copy() )




		def    _UpperCAmelCase     (     self )			-> Optional[int]:
					for config in sorted(self.test_config_path.glob('**/*.yaml' ) ):
								with self.subTest(config_file=_UpperCAmelCase ):
											execute_subprocess_async(
											    self.base_cmd + ['--config_file', str(_UpperCAmelCase ), self.test_file_path]		,		env=os.environ.copy() )




		def    _UpperCAmelCase     (     self )			-> Tuple:
					execute_subprocess_async(['accelerate', 'test']		,		env=os.environ.copy() )




class 						_a       (  unittest.TestCase    ):






		"""simple docstring"""





		A_						=   """test-tpu"""
		A_						=   """us-central1-a"""
		A_						=   """ls"""
		A_						=   ["""accelerate""", """tpu-config"""]
		A_						=   """cd /usr/share"""
		A_						=   """tests/test_samples/test_command_file.sh"""
		A_						=   """Running gcloud compute tpus tpu-vm ssh"""




		def    _UpperCAmelCase     (     self )			-> Any:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + ['--command', self.command, '--tpu_zone', self.tpu_zone, '--tpu_name', self.tpu_name, '--debug']		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Any:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + [
					        '--config_file',
					        'tests/test_configs/0_12_0.yaml',
					        '--command',
					        self.command,
					        '--tpu_zone',
					        self.tpu_zone,
					        '--tpu_name',
					        self.tpu_name,
					        '--debug',
					    ]		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Any:
					UpperCamelCase_									=     run_command(
					    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--debug']		,		return_stdout=_UpperCAmelCase )
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Tuple:
					UpperCamelCase_									=     run_command(
					    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--command', self.command, '--debug']		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Optional[Any]:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + [
					        '--config_file',
					        'tests/test_configs/latest.yaml',
					        '--command',
					        self.command,
					        '--command',
					        'echo "Hello World"',
					        '--debug',
					    ]		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls; echo \"Hello World\" --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Dict:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + ['--config_file', 'tests/test_configs/latest.yaml', '--command_file', self.command_file, '--debug']		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Dict:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + [
					        '--config_file',
					        'tests/test_configs/0_12_0.yaml',
					        '--command_file',
					        self.command_file,
					        '--tpu_zone',
					        self.tpu_zone,
					        '--tpu_name',
					        self.tpu_name,
					        '--debug',
					    ]		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> List[Any]:
					UpperCamelCase_									=     run_command(
					    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--install_accelerate', '--debug']		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; pip install accelerate -U; echo \"hello world\"; echo \"this is a second command\" --worker all"""		,		_UpperCAmelCase		,		)




		def    _UpperCAmelCase     (     self )			-> Optional[Any]:
					UpperCamelCase_									=     run_command(
					    self.cmd
					    + [
					        '--config_file',
					        'tests/test_configs/latest.yaml',
					        '--install_accelerate',
					        '--accelerate_version',
					        '12.0.0',
					        '--debug',
					    ]		,		return_stdout=_UpperCAmelCase		,		)
					self.assertIn(
					    f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; pip install accelerate==12.0.0; echo \"hello world\"; echo \"this is a second command\" --worker all"""		,		_UpperCAmelCase		,		)













from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase = "x"    ,      __lowercase = 10**-10    ,      __lowercase = 1    ,      ):
   UpperCamelCase_									=     symbols(__lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      diff(__lowercase    ,      __lowercase))

   UpperCamelCase_									=     starting_point

   while True:
      if diff_function(__lowercase) != 0:
         UpperCamelCase_									=     prev_guess - multiplicity * func(__lowercase) / diff_function(
             __lowercase)
      else:
         raise ZeroDivisionError('Could not find root') from None

      # Precision is checked by comparing the difference of consecutive guesses
      if abs(next_guess - prev_guess) < precision:
         return next_guess

      UpperCamelCase_									=     next_guess


# 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
 # Find fourth Root of 5
 print(f'The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5J)}')

 # Find value of e
 print(
     """The root of log(y) - 1 = 0 is """,
     f'{newton_raphson("log(y) - 1", 2, variable="y")}',
 )

 # Exponential Roots
 print(
     """The root of exp(x) - 1 = 0 is""",
     f'{newton_raphson("exp(x) - 1", 1_0, precision=0.005)}',
 )

 # Find root of cos(x)
 print(f'The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}')





