"""simple docstring"""
from decimal import Decimal, getcontext
from math import ceil, factorial





def 				lowerCAmelCase__      (     _UpperCamelCase    :			int   )   ->			str:





						"""simple docstring"""






						if not isinstance(_UpperCamelCase	,     _UpperCamelCase   ):
												raise TypeError('Undefined for non-integers'   )
						elif precision < 1:
												raise ValueError('Undefined for non-natural numbers'   )

						snake_case        =     precision
						snake_case        =     ceil(precision / 1_4   )
						snake_case        =     4_2_6_8_8_0 * Decimal(1_0_0_0_5   ).sqrt()
						snake_case        =     1
						snake_case        =     1_3_5_9_1_4_0_9
						snake_case        =     Decimal(_UpperCamelCase   )
						for k in range(1	,     _UpperCamelCase   ):
												snake_case        =     factorial(6 * k   ) // (factorial(3 * k   ) * factorial(_UpperCamelCase   ) ** 3)
												linear_term += 5_4_5_1_4_0_1_3_4
												exponential_term *= -2_6_2_5_3_7_4_1_2_6_4_0_7_6_8_0_0_0
												partial_sum += Decimal(multinomial_term * linear_term   ) / exponential_term
						return str(constant_term / partial_sum   )[:-1]


if __name__ == "__main__":
					SCREAMING_SNAKE_CASE__   =					50
					print(f"""The first {n} digits of pi is: {pi(n)}""")



"""simple docstring"""
import json
import os
import tempfile
import unittest
import unittest.mock as mock
from pathlib import Path

from requests.exceptions import HTTPError

from transformers.utils import (
    CONFIG_NAME,
    FLAX_WEIGHTS_NAME,
    TF2_WEIGHTS_NAME,
    TRANSFORMERS_CACHE,
    WEIGHTS_NAME,
    cached_file,
    get_file_from_repo,
    has_file,
)


SCREAMING_SNAKE_CASE__   =					"hf-internal-testing/tiny-random-bert"
SCREAMING_SNAKE_CASE__   =					os.path.join(TRANSFORMERS_CACHE, "models--hf-internal-testing--tiny-random-bert")
SCREAMING_SNAKE_CASE__   =					"9b8c223d42b2188cb49d29af482996f9d0f3e5a6"



class 					lowerCAmelCase_      (     unittest.TestCase   ):



				"""simple docstring"""

				def 						snake_case	(			self      ):






										"""simple docstring"""

										snake_case        =     cached_file(lowerCAmelCase						,      lowerCAmelCase      )
										# Should have downloaded the file in here
										self.assertTrue(os.path.isdir(lowerCAmelCase      )      )
										# Cache should contain at least those three subfolders:
										for subfolder in ["blobs", "refs", "snapshots"]:
																self.assertTrue(os.path.isdir(os.path.join(lowerCAmelCase						,      lowerCAmelCase      )      )      )
										with open(os.path.join(lowerCAmelCase						,      'refs'						,      'main'      )      ) as f:
																snake_case        =     f.read()
										self.assertEqual(lowerCAmelCase						,      os.path.join(lowerCAmelCase						,      'snapshots'						,      lowerCAmelCase						,      lowerCAmelCase      )      )
										self.assertTrue(os.path.isfile(lowerCAmelCase      )      )

										# File is cached at the same place the second time.
										snake_case        =     cached_file(lowerCAmelCase						,      lowerCAmelCase      )
										self.assertEqual(lowerCAmelCase						,      lowerCAmelCase      )

										# Using a specific revision to test the full commit hash.
										snake_case        =     cached_file(lowerCAmelCase						,      lowerCAmelCase						,      revision='9b8c223'      )
										self.assertEqual(lowerCAmelCase						,      os.path.join(lowerCAmelCase						,      'snapshots'						,      lowerCAmelCase						,      lowerCAmelCase      )      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										with self.assertRaisesRegex(lowerCAmelCase						,      'is not a valid model identifier'      ):
																snake_case        =     cached_file('tiny-random-bert'						,      lowerCAmelCase      )

										with self.assertRaisesRegex(lowerCAmelCase						,      'is not a valid git identifier'      ):
																snake_case        =     cached_file(lowerCAmelCase						,      lowerCAmelCase						,      revision='aaaa'      )

										with self.assertRaisesRegex(lowerCAmelCase						,      'does not appear to have a file named'      ):
																snake_case        =     cached_file(lowerCAmelCase						,      'conf'      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										with self.assertRaisesRegex(lowerCAmelCase						,      'does not appear to have a file named'      ):
																snake_case        =     cached_file(lowerCAmelCase						,      'conf'      )

										with open(os.path.join(lowerCAmelCase						,      'refs'						,      'main'      )      ) as f:
																snake_case        =     f.read()
										self.assertTrue(os.path.isfile(os.path.join(lowerCAmelCase						,      '.no_exist'						,      lowerCAmelCase						,      'conf'      )      )      )

										snake_case        =     cached_file(lowerCAmelCase						,      'conf'						,      _raise_exceptions_for_missing_entries=lowerCAmelCase      )
										self.assertIsNone(lowerCAmelCase      )

										snake_case        =     cached_file(lowerCAmelCase						,      'conf'						,      local_files_only=lowerCAmelCase						,      _raise_exceptions_for_missing_entries=lowerCAmelCase      )
										self.assertIsNone(lowerCAmelCase      )

										snake_case        =     mock.Mock()
										snake_case        =     5_00
										snake_case        =     {}
										snake_case        =     HTTPError
										snake_case        =     {}

										# Under the mock environment we get a 500 error when trying to reach the tokenizer.
										with mock.patch('requests.Session.request'						,      return_value=lowerCAmelCase      ) as mock_head:
																snake_case        =     cached_file(lowerCAmelCase						,      'conf'						,      _raise_exceptions_for_connection_errors=lowerCAmelCase      )
																self.assertIsNone(lowerCAmelCase      )
																# This check we did call the fake head request
																mock_head.assert_called()

				def 						snake_case	(			self      ):






										"""simple docstring"""

										self.assertTrue(has_file('hf-internal-testing/tiny-bert-pt-only'						,      lowerCAmelCase      )      )
										self.assertFalse(has_file('hf-internal-testing/tiny-bert-pt-only'						,      lowerCAmelCase      )      )
										self.assertFalse(has_file('hf-internal-testing/tiny-bert-pt-only'						,      lowerCAmelCase      )      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										self.assertIsNone(get_file_from_repo('bert-base-cased'						,      'ahah.txt'      )      )

										# The function raises if the repository does not exist.
										with self.assertRaisesRegex(lowerCAmelCase						,      'is not a valid model identifier'      ):
																get_file_from_repo('bert-base-case'						,      lowerCAmelCase      )

										# The function raises if the revision does not exist.
										with self.assertRaisesRegex(lowerCAmelCase						,      'is not a valid git identifier'      ):
																get_file_from_repo('bert-base-cased'						,      lowerCAmelCase						,      revision='ahaha'      )

										snake_case        =     get_file_from_repo('bert-base-cased'						,      lowerCAmelCase      )
										# The name is the cached name which is not very easy to test, so instead we load the content.
										snake_case        =     json.loads(open(lowerCAmelCase						,      'r'      ).read()      )
										self.assertEqual(config['hidden_size']						,      7_68      )

				def 						snake_case	(			self      ):






										"""simple docstring"""

										with tempfile.TemporaryDirectory() as tmp_dir:
																snake_case        =     Path(lowerCAmelCase      ) / 'a.txt'
																filename.touch()
																self.assertEqual(get_file_from_repo(lowerCAmelCase						,      'a.txt'      )						,      str(lowerCAmelCase      )      )

																self.assertIsNone(get_file_from_repo(lowerCAmelCase						,      'b.txt'      )      )


