



from math import asin, atan, cos, radians, sin, sqrt, tan

a__   :					Union[str, Any] 						=      6_3_7_8_1_3_7.0
a__   :					Union[str, Any] 						=      6_3_5_6_7_5_2.3_1_4_2_4_5
a__   :					Any 						=      6_37_81_37

def 	_lowerCAmelCase (    A__    ,	A__    ,	A__    ,	A__						):
      lowercase__  =	(AXIS_A - AXIS_B) / AXIS_A
      lowercase__  =	atan((1 - flattening) * tan(radians(A__						)						)						)
      lowercase__  =	atan((1 - flattening) * tan(radians(A__						)						)						)
      lowercase__  =	radians(A__						)
      lowercase__  =	radians(A__						)
      # Equation
      lowercase__  =	sin((phi_a - phi_a) / 2						)
      lowercase__  =	sin((lambda_a - lambda_a) / 2						)
      # Square both values
      sin_sq_phi *= sin_sq_phi
      sin_sq_lambda *= sin_sq_lambda
      lowercase__  =	sqrt(sin_sq_phi + (cos(A__						) * cos(A__						) * sin_sq_lambda)						)
      return 2 * RADIUS * asin(A__						)


if __name__ == "__main__":
       import doctest

       doctest.testmod()





# Copyright 2021 The HuggingFace 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 argparse
import os

from accelerate.test_utils import execute_subprocess_async

def 	_lowerCAmelCase (    A__=None						):
      if subparsers is not None:
            lowercase__  =	subparsers.add_parser('test'						)
      else:
            lowercase__  =	argparse.ArgumentParser('Accelerate test command'						)

      parser.add_argument(
          '--config_file'    ,	default=A__    ,	help=(
              'The path to use to store the config file. Will default to a file named default_config.yaml in the cache '
              'location, which is the content of the environment `HF_HOME` suffixed with \'accelerate\', or if you don\'t have '
              'such an environment variable, your cache directory (\'~/.cache\' or the content of `XDG_CACHE_HOME`) suffixed '
              'with \'huggingface\'.'
          )    ,	)

      if subparsers is not None:
            parser.set_defaults(func=A__						)
      return parser

def 	_lowerCAmelCase (    A__						):
      lowercase__  =	os.path.sep.join(__file__.split(os.path.sep						)[:-2] + ['test_utils', 'scripts', 'test_script.py']						)

      if args.config_file is None:
            lowercase__  =	script_name
      else:
            lowercase__  =	F'''--config_file={args.config_file} {script_name}'''

      lowercase__  =	['accelerate-launch'] + test_args.split()
      lowercase__  =	execute_subprocess_async(A__    ,	env=os.environ.copy()						)
      if result.returncode == 0:
            print('Test is a success! You are ready for your distributed training!'						)

def 	_lowerCAmelCase (    ):
      lowercase__  =	test_command_parser()
      lowercase__  =	parser.parse_args()
      test_command(A__						)


if __name__ == "__main__":
       main()
