


from binascii import hexlify
from hashlib import shaaaa
from os import urandom

# RFC 3526 - More Modular Exponential (MODP) Diffie-Hellman groups for
# Internet Key Exchange (IKE) https://tools.ietf.org/html/rfc3526

snake_case							:	Optional[int]					      =				{
    # 1536-bit
    5: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 2048-bit
    14: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AACAA68FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 3072-bit
    15: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 4096-bit
    16: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'''
            + '''88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'''
            + '''2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'''
            + '''287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'''
            + '''1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'''
            + '''93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199'''
            + '''FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 6144-bit
    17: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E08'''
            + '''8A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B'''
            + '''302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9'''
            + '''A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE6'''
            + '''49286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8'''
            + '''FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C'''
            + '''180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718'''
            + '''3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D'''
            + '''04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7D'''
            + '''B3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D226'''
            + '''1AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFC'''
            + '''E0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B26'''
            + '''99C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB'''
            + '''04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2'''
            + '''233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127'''
            + '''D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'''
            + '''36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BDF8FF9406'''
            + '''AD9E530EE5DB382F413001AEB06A53ED9027D831179727B0865A8918'''
            + '''DA3EDBEBCF9B14ED44CE6CBACED4BB1BDB7F1447E6CC254B33205151'''
            + '''2BD7AF426FB8F401378CD2BF5983CA01C64B92ECF032EA15D1721D03'''
            + '''F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E59E7C97F'''
            + '''BEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'''
            + '''CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58B'''
            + '''B7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632'''
            + '''387FE8D76E3C0468043E8F663F4860EE12BF2D5B0B7474D6E694F91E'''
            + '''6DCC4024FFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
    # 8192-bit
    18: {
        '''prime''': int(
            '''FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1'''
            + '''29024E088A67CC74020BBEA63B139B22514A08798E3404DD'''
            + '''EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245'''
            + '''E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED'''
            + '''EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D'''
            + '''C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F'''
            + '''83655D23DCA3AD961C62F356208552BB9ED529077096966D'''
            + '''670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B'''
            + '''E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9'''
            + '''DE2BCBF6955817183995497CEA956AE515D2261898FA0510'''
            + '''15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64'''
            + '''ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7'''
            + '''ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B'''
            + '''F12FFA06D98A0864D87602733EC86A64521F2B18177B200C'''
            + '''BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31'''
            + '''43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7'''
            + '''88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA'''
            + '''2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6'''
            + '''287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED'''
            + '''1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9'''
            + '''93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492'''
            + '''36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD'''
            + '''F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831'''
            + '''179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B'''
            + '''DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF'''
            + '''5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6'''
            + '''D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3'''
            + '''23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA'''
            + '''CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328'''
            + '''06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C'''
            + '''DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE'''
            + '''12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4'''
            + '''38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300'''
            + '''741FA7BF8AFC47ED2576F6936BA424663AAB639C5AE4F568'''
            + '''3423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD9'''
            + '''22222E04A4037C0713EB57A81A23F0C73473FC646CEA306B'''
            + '''4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A'''
            + '''062B3CF5B3A278A66D2A13F83F44F82DDF310EE074AB6A36'''
            + '''4597E899A0255DC164F31CC50846851DF9AB48195DED7EA1'''
            + '''B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92'''
            + '''4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E47'''
            + '''9558E4475677E9AA9E3050E2765694DFC81F56E880B96E71'''
            + '''60C980DD98EDD3DFFFFFFFFFFFFFFFFF''',
            base=16,
        ),
        '''generator''': 2,
    },
}







class 	lowercase       :
					def __init__(				self       :Tuple      ,__snake_case       :int = 14				) ->   None:
												if group not in primes:
																			raise ValueError('Unsupported Group'				)
												a__					=					primes[group]['prime']
												a__					=					primes[group]['generator']

												a__					=					int(hexlify(urandom(32				)				)      ,base=16				)
					def 			lowerCamelCase__(				self       :List[str]				) ->   str:
												return hex(self.__private_key				)[2:]
					def 			lowerCamelCase__(				self       :List[str]				) ->   str:
												a__					=					pow(self.generator      ,self.__private_key      ,self.prime				)
												return hex(__snake_case				)[2:]
					def 			lowerCamelCase__(				self       :Optional[int]      ,__snake_case       :int				) ->   bool:
												# check if the other public key is valid based on NIST SP800-56
												return (
												    2 <= key <= self.prime - 2
												    and pow(__snake_case      ,(self.prime - 1) // 2      ,self.prime				) == 1
												)
					def 			lowerCamelCase__(				self       :Optional[Any]      ,__snake_case       :str				) ->   str:
												a__					=					int(__snake_case      ,base=16				)
												if not self.is_valid_public_key(__snake_case				):
																			raise ValueError('Invalid public key'				)
												a__					=					pow(__snake_case      ,self.__private_key      ,self.prime				)
												return shaaaa(str(__snake_case				).encode()				).hexdigest()
					@staticmethod
					def 			lowerCamelCase__(				__snake_case       :int      ,__snake_case       :int				) ->   bool:
												# check if the other public key is valid based on NIST SP800-56
												return (
												    2 <= remote_public_key_str <= prime - 2
												    and pow(__snake_case      ,(prime - 1) // 2      ,__snake_case				) == 1
												)



					@staticmethod
					def 			lowerCamelCase__(				__snake_case       :str      ,__snake_case       :str      ,__snake_case       :int = 14				) ->   str:
												a__					=					int(__snake_case      ,base=16				)
												a__					=					int(__snake_case      ,base=16				)
												a__					=					primes[group]['prime']
												if not DiffieHellman.is_valid_public_key_static(__snake_case      ,__snake_case				):
																			raise ValueError('Invalid public key'				)
												a__					=					pow(__snake_case      ,__snake_case      ,__snake_case				)
												return shaaaa(str(__snake_case				).encode()				).hexdigest()


if __name__ == "__main__":
						import doctest

						doctest.testmod()








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 	snake_case_       (unittest.TestCase				):
					UpperCAmelCase__ :   Optional[Any]   				=      inspect.getfile(accelerate.test_utils				)
					UpperCAmelCase__ :   Tuple   				=      os.path.sep.join(mod_file.split(os.path.sep				)[:-1] + ['''scripts''', '''test_cli.py''']				)

					UpperCAmelCase__ :   Optional[int]   				=      ['''accelerate''', '''launch''']
					UpperCAmelCase__ :   List[str]   				=      Path.home() / '''.cache/huggingface/accelerate'''
					UpperCAmelCase__ :   Union[str, Any]   				=      '''default_config.yaml'''
					UpperCAmelCase__ :   List[Any]   				=      config_folder / config_file
					UpperCAmelCase__ :   Optional[int]   				=      config_folder / '''_default_config.yaml'''

					UpperCAmelCase__ :   int   				=      Path('''tests/test_configs'''				)
					@classmethod
					def 			lowerCamelCase__(				cls       :Any				) ->   int:
												if cls.config_path.is_file():
																			cls.config_path.rename(cls.changed_path				)
					@classmethod
					def 			lowerCamelCase__(				cls       :Dict				) ->   Union[str, Any]:
												if cls.changed_path.is_file():
																			cls.changed_path.rename(cls.config_path				)
					def 			lowerCamelCase__(				self       :Any				) ->   Optional[int]:
												a__					=					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 			lowerCamelCase__(				self       :str				) ->   List[Any]:
												for config in sorted(self.test_config_path.glob('**/*.yaml'				)				):
																			with self.subTest(config_file=__snake_case				):
																										execute_subprocess_async(
																										    self.base_cmd + ['--config_file', str(__snake_case				), self.test_file_path]      ,env=os.environ.copy()				)



					def 			lowerCamelCase__(				self       :int				) ->   List[str]:
												execute_subprocess_async(['accelerate', 'test']      ,env=os.environ.copy()				)







class 	snake_case_       (unittest.TestCase				):
					UpperCAmelCase__ :   List[Any]   				=      '''test-tpu'''
					UpperCAmelCase__ :   str   				=      '''us-central1-a'''
					UpperCAmelCase__ :   Optional[Any]   				=      '''ls'''
					UpperCAmelCase__ :   Optional[int]   				=      ['''accelerate''', '''tpu-config''']
					UpperCAmelCase__ :   Any   				=      '''cd /usr/share'''
					UpperCAmelCase__ :   Tuple   				=      '''tests/test_samples/test_command_file.sh'''
					UpperCAmelCase__ :   List[Any]   				=      '''Running gcloud compute tpus tpu-vm ssh'''
					def 			lowerCamelCase__(				self       :Optional[Any]				) ->   Tuple:
												a__					=					run_command(
												    self.cmd
												    + ['--command', self.command, '--tpu_zone', self.tpu_zone, '--tpu_name', self.tpu_name, '--debug']      ,return_stdout=__snake_case      ,)
												self.assertIn(
												    F'{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :int				) ->   str:
												a__					=					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=__snake_case      ,)
												self.assertIn(
												    F'{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :Any				) ->   Dict:
												a__					=					run_command(
												    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--debug']      ,return_stdout=__snake_case				)
												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'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :Tuple				) ->   str:
												a__					=					run_command(
												    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--command', self.command, '--debug']      ,return_stdout=__snake_case      ,)
												self.assertIn(
												    F'{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :Dict				) ->   int:
												a__					=					run_command(
												    self.cmd
												    + [
												        '--config_file',
												        'tests/test_configs/latest.yaml',
												        '--command',
												        self.command,
												        '--command',
												        'echo "Hello World"',
												        '--debug',
												    ]      ,return_stdout=__snake_case      ,)
												self.assertIn(
												    F'{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls; echo "Hello World" --worker all'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :Union[str, Any]				) ->   List[Any]:
												a__					=					run_command(
												    self.cmd
												    + ['--config_file', 'tests/test_configs/latest.yaml', '--command_file', self.command_file, '--debug']      ,return_stdout=__snake_case      ,)
												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'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :int				) ->   int:
												a__					=					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=__snake_case      ,)
												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'      ,__snake_case      ,)
					def 			lowerCamelCase__(				self       :Union[str, Any]				) ->   List[Any]:
												a__					=					run_command(
												    self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--install_accelerate', '--debug']      ,return_stdout=__snake_case      ,)
												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'      ,__snake_case      ,)



					def 			lowerCamelCase__(				self       :Any				) ->   Optional[int]:
												a__					=					run_command(
												    self.cmd
												    + [
												        '--config_file',
												        'tests/test_configs/latest.yaml',
												        '--install_accelerate',
												        '--accelerate_version',
												        '12.0.0',
												        '--debug',
												    ]      ,return_stdout=__snake_case      ,)
												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'      ,__snake_case      ,)




