






import numpy

# List of input, output pairs
snake_case__      :	List[str]       	=      (
    ((5, 2, 3), 1_5),
    ((6, 5, 9), 2_5),
    ((1_1, 1_2, 1_3), 4_1),
    ((1, 1, 1), 8),
    ((1_1, 1_2, 1_3), 4_1),
)
snake_case__      :	Optional[Any]       	=      (((5_1_5, 2_2, 1_3), 5_5_5), ((6_1, 3_5, 4_9), 1_5_0))
snake_case__      :	Optional[int]       	=      [2, 4, 1, 5]
snake_case__      :	Tuple       	=      len(train_data)
snake_case__      :	Optional[Any]       	=      0.009






def     _snake_case    (__lowercase    ,      __lowercase="train"):
   return calculate_hypothesis_value(__lowercase    ,      __lowercase) - output(
       __lowercase    ,      __lowercase)






def     _snake_case    (__lowercase):
   UpperCamelCase_									=     0
   for i in range(len(__lowercase) - 1):
      hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
   hyp_val += parameter_vector[0]
   return hyp_val






def     _snake_case    (__lowercase    ,      __lowercase):
   if data_set == "train":
      return train_data[example_no][1]
   elif data_set == "test":
      return test_data[example_no][1]
   return None






def     _snake_case    (__lowercase    ,      __lowercase):
   if data_set == "train":
      return _hypothesis_value(train_data[example_no][0])
   elif data_set == "test":
      return _hypothesis_value(test_data[example_no][0])
   return None






def     _snake_case    (__lowercase    ,      __lowercase=m):
   UpperCamelCase_									=     0
   for i in range(__lowercase):
      if index == -1:
         summation_value += _error(__lowercase)
      else:
         summation_value += _error(__lowercase) * train_data[i][0][index]
   return summation_value






def     _snake_case    (__lowercase):
   UpperCamelCase_									=     summation_of_cost_derivative(__lowercase    ,      __lowercase) / m
   return cost_derivative_value






def     _snake_case    ():
   global parameter_vector
   # Tune these values to set a tolerance value for predicted output
   UpperCamelCase_									=     0.000_002
   UpperCamelCase_									=     0
   UpperCamelCase_									=     0
   while True:
      j += 1
      UpperCamelCase_									=     [0, 0, 0, 0]
      for i in range(0    ,      len(__lowercase)):
         UpperCamelCase_									=     get_cost_derivative(i - 1)
         UpperCamelCase_									=     (
             parameter_vector[i] - LEARNING_RATE * cost_derivative
         )
      if numpy.allclose(
          __lowercase    ,      __lowercase    ,      atol=__lowercase    ,      rtol=__lowercase    ,      ):
         break
      UpperCamelCase_									=     temp_parameter_vector
   print(('Number of iterations:', j))






def     _snake_case    ():
   for i in range(len(__lowercase)):
      print(('Actual output value:', output(__lowercase    ,      'test')))
      print(('Hypothesis output:', calculate_hypothesis_value(__lowercase    ,      'test')))


if __name__ == "__main__":
 run_gradient_descent()
 print("""\nTesting gradient descent for a linear hypothesis function.\n""")
 test_gradient_descent()













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		,		)





