


"""simple docstring"""


import argparse
import struct
import unittest



class   _a      :
    def __init__( self							:					Optional[int]							,					SCREAMING_SNAKE_CASE__							:					bytes				):
          lowerCamelCase__           =		data

          # Initialize hash values
          lowerCamelCase__           =		[
              0X6_a_0_9_e_6_6_7,
              0Xb_b_6_7_a_e_8_5,
              0X3_c_6_e_f_3_7_2,
              0Xa_5_4_f_f_5_3_a,
              0X5_1_0_e_5_2_7_f,
              0X9_b_0_5_6_8_8_c,
              0X1_f_8_3_d_9_a_b,
              0X5_b_e_0_c_d_1_9,
          ]

          # Initialize round constants
          lowerCamelCase__           =		[
              0X4_2_8_a_2_f_9_8,
              0X7_1_3_7_4_4_9_1,
              0Xb_5_c_0_f_b_c_f,
              0Xe_9_b_5_d_b_a_5,
              0X3_9_5_6_c_2_5_b,
              0X5_9_f_1_1_1_f_1,
              0X9_2_3_f_8_2_a_4,
              0Xa_b_1_c_5_e_d_5,
              0Xd_8_0_7_a_a_9_8,
              0X1_2_8_3_5_b_0_1,
              0X2_4_3_1_8_5_b_e,
              0X5_5_0_c_7_d_c_3,
              0X7_2_b_e_5_d_7_4,
              0X8_0_d_e_b_1_f_e,
              0X9_b_d_c_0_6_a_7,
              0Xc_1_9_b_f_1_7_4,
              0Xe_4_9_b_6_9_c_1,
              0Xe_f_b_e_4_7_8_6,
              0X0_f_c_1_9_d_c_6,
              0X2_4_0_c_a_1_c_c,
              0X2_d_e_9_2_c_6_f,
              0X4_a_7_4_8_4_a_a,
              0X5_c_b_0_a_9_d_c,
              0X7_6_f_9_8_8_d_a,
              0X9_8_3_e_5_1_5_2,
              0Xa_8_3_1_c_6_6_d,
              0Xb_0_0_3_2_7_c_8,
              0Xb_f_5_9_7_f_c_7,
              0Xc_6_e_0_0_b_f_3,
              0Xd_5_a_7_9_1_4_7,
              0X0_6_c_a_6_3_5_1,
              0X1_4_2_9_2_9_6_7,
              0X2_7_b_7_0_a_8_5,
              0X2_e_1_b_2_1_3_8,
              0X4_d_2_c_6_d_f_c,
              0X5_3_3_8_0_d_1_3,
              0X6_5_0_a_7_3_5_4,
              0X7_6_6_a_0_a_b_b,
              0X8_1_c_2_c_9_2_e,
              0X9_2_7_2_2_c_8_5,
              0Xa_2_b_f_e_8_a_1,
              0Xa_8_1_a_6_6_4_b,
              0Xc_2_4_b_8_b_7_0,
              0Xc_7_6_c_5_1_a_3,
              0Xd_1_9_2_e_8_1_9,
              0Xd_6_9_9_0_6_2_4,
              0Xf_4_0_e_3_5_8_5,
              0X1_0_6_a_a_0_7_0,
              0X1_9_a_4_c_1_1_6,
              0X1_e_3_7_6_c_0_8,
              0X2_7_4_8_7_7_4_c,
              0X3_4_b_0_b_c_b_5,
              0X3_9_1_c_0_c_b_3,
              0X4_e_d_8_a_a_4_a,
              0X5_b_9_c_c_a_4_f,
              0X6_8_2_e_6_f_f_3,
              0X7_4_8_f_8_2_e_e,
              0X7_8_a_5_6_3_6_f,
              0X8_4_c_8_7_8_1_4,
              0X8_c_c_7_0_2_0_8,
              0X9_0_b_e_f_f_f_a,
              0Xa_4_5_0_6_c_e_b,
              0Xb_e_f_9_a_3_f_7,
              0Xc_6_7_1_7_8_f_2,
          ]

          lowerCamelCase__           =		self.preprocessing(self.data				)
          self.final_hash()
    @staticmethod
    def      _UpperCamelCase       ( SCREAMING_SNAKE_CASE__							:					bytes				):
          lowerCamelCase__           =		B'\x80' + (B'\x00' * (63 - (len(SCREAMING_SNAKE_CASE__				) + 8) % 64))
          lowerCamelCase__           =		struct.pack('>Q'							,					(len(SCREAMING_SNAKE_CASE__				) * 8)				)
          return data + padding + big_endian_integer
    def      _UpperCamelCase       ( self							:					Dict				):
          # Convert into blocks of 64 bytes
          lowerCamelCase__           =		[
              self.preprocessed_data[x : x + 64]
              for x in range(0							,					len(self.preprocessed_data				)							,					64				)
          ]

          for block in self.blocks:
                # Convert the given block into a list of 4 byte integers
                lowerCamelCase__           =		list(struct.unpack('>16L'							,					SCREAMING_SNAKE_CASE__				)				)
                # add 48 0-ed integers
                words += [0] * 48

                lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__           =		self.hashes

                for index in range(0							,					64				):
                      if index > 15:
                            # modify the zero-ed indexes at the end of the array
                            lowerCamelCase__           =		(
                                self.ror(words[index - 15]							,					7				)
                                ^ self.ror(words[index - 15]							,					18				)
                                ^ (words[index - 15] >> 3)
                            )
                            lowerCamelCase__           =		(
                                self.ror(words[index - 2]							,					17				)
                                ^ self.ror(words[index - 2]							,					19				)
                                ^ (words[index - 2] >> 10)
                            )

                            lowerCamelCase__           =		(
                                words[index - 16] + sa + words[index - 7] + sa
                            ) % 0X1_0_0_0_0_0_0_0_0

                      # Compression
                      lowerCamelCase__           =		self.ror(SCREAMING_SNAKE_CASE__							,					6				) ^ self.ror(SCREAMING_SNAKE_CASE__							,					11				) ^ self.ror(SCREAMING_SNAKE_CASE__							,					25				)
                      lowerCamelCase__           =		(e & f) ^ ((~e & 0Xf_f_f_f_f_f_f_f) & g)
                      lowerCamelCase__           =		(
                          h + sa + ch + self.round_constants[index] + words[index]
                      ) % 0X1_0_0_0_0_0_0_0_0
                      lowerCamelCase__           =		self.ror(SCREAMING_SNAKE_CASE__							,					2				) ^ self.ror(SCREAMING_SNAKE_CASE__							,					13				) ^ self.ror(SCREAMING_SNAKE_CASE__							,					22				)
                      lowerCamelCase__           =		(a & b) ^ (a & c) ^ (b & c)
                      lowerCamelCase__           =		(sa + maj) % 0X1_0_0_0_0_0_0_0_0

                      lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__    ,  lowerCamelCase__           =		(
                          g,
                          f,
                          e,
                          ((d + tempa) % 0X1_0_0_0_0_0_0_0_0),
                          c,
                          b,
                          a,
                          ((tempa + tempa) % 0X1_0_0_0_0_0_0_0_0),
                      )

                lowerCamelCase__           =		[a, b, c, d, e, f, g, h]

                # Modify final values
                lowerCamelCase__           =		[
                    ((element + mutated_hash_values[index]) % 0X1_0_0_0_0_0_0_0_0)
                    for index, element in enumerate(self.hashes				)
                ]

          lowerCamelCase__           =		''.join([hex(SCREAMING_SNAKE_CASE__				)[2:].zfill(8				) for value in self.hashes]				)


    def      _UpperCamelCase       ( self							:					Dict							,					SCREAMING_SNAKE_CASE__							:					int							,					SCREAMING_SNAKE_CASE__							:					int				):
          return 0Xf_f_f_f_f_f_f_f & (value << (32 - rotations)) | (value >> rotations)





class   _a      (      unittest.TestCase ):
    def      _UpperCamelCase       ( self							:					List[Any]				):
          import hashlib

          lowerCamelCase__           =		bytes('Test String'							,					'utf-8'				)
          self.assertEqual(SHAaaa(SCREAMING_SNAKE_CASE__				).hash							,					hashlib.shaaaa(SCREAMING_SNAKE_CASE__				).hexdigest()				)





def   snake_case						(				)->		None:
      '''simple docstring'''


      import doctest

      doctest.testmod()

      lowerCamelCase__           =		argparse.ArgumentParser()
      parser.add_argument(
          '-s'		,   '--string'		,   dest='input_string'		,   default='Hello World!! Welcome to Cryptography'		,   help='Hash the string'		,   )
      parser.add_argument(
          '-f'		,   '--file'		,   dest='input_file'		,   help='Hash contents of a file'							)

      lowerCamelCase__           =		parser.parse_args()

      lowerCamelCase__           =		args.input_string

      # hash input should be a bytestring
      if args.input_file:
            with open(args.input_file		,   'rb'							) as f:
                  lowerCamelCase__           =		f.read()
      else:
            lowerCamelCase__           =		bytes(_a		,   'utf-8'							)

      print(SHAaaa(_a							).hash							)


if __name__ == "__main__":
   main()







"""simple docstring"""


from __future__ import annotations

from math import gcd



def   snake_case						(				_a:     int		,   _a:     int = 2		,   _a:     int = 1		,   _a:     int = 3		,   )->		int | None:
      '''simple docstring'''


      if num < 2:
            raise ValueError('The input value cannot be less than 2'							)

      # Because of the relationship between ``f(f(x))`` and ``f(x)``, this
      # algorithm struggles to find factors that are divisible by two.
      # As a workaround, we specifically check for two and even inputs.
      #   See: https://math.stackexchange.com/a/2856214/165820
      if num > 2 and num % 2 == 0:
            return 2

      # Pollard's Rho algorithm requires a function that returns pseudorandom
      # values between 0 <= X < ``num``.  It doesn't need to be random in the
      # sense that the output value is cryptographically secure or difficult
      # to calculate, it only needs to be random in the sense that all output
      # values should be equally likely to appear.
      # For this reason, Pollard suggested using ``f(x) = (x**2 - 1) % num``
      # However, the success of Pollard's algorithm isn't guaranteed and is
      # determined in part by the initial seed and the chosen random function.
      # To make retries easier, we will instead use ``f(x) = (x**2 + C) % num``
      # where ``C`` is a value that we can modify between each attempt.
      def rand_fn(_a:     int		,   _a:     int		,   _a:     int							) -> int:
            return (pow(_a		,   2							) + step) % modulus

      for _ in range(_a							):
            # These track the position within the cycle detection logic.
            lowerCamelCase__           =		seed
            lowerCamelCase__           =		seed

            while True:
                  # At each iteration, the tortoise moves one step and the hare moves two.
                  lowerCamelCase__           =		rand_fn(_a		,   _a		,   _a							)
                  lowerCamelCase__           =		rand_fn(_a		,   _a		,   _a							)
                  lowerCamelCase__           =		rand_fn(_a		,   _a		,   _a							)

                  # At some point both the tortoise and the hare will enter a cycle whose
                  # length ``p`` is a divisor of ``num``.  Once in that cycle, at some point
                  # the tortoise and hare will end up on the same value modulo ``p``.
                  # We can detect when this happens because the position difference between
                  # the tortoise and the hare will share a common divisor with ``num``.
                  lowerCamelCase__           =		gcd(hare - tortoise		,   _a							)

                  if divisor == 1:
                        # No common divisor yet, just keep searching.
                        continue
                  else:
                        # We found a common divisor!
                        if divisor == num:
                              # Unfortunately, the divisor is ``num`` itself and is useless.
                              break
                        else:
                              # The divisor is a nontrivial factor of ``num``!
                              return divisor

        # If we made it here, then this attempt failed.
        # We need to pick a new starting seed for the tortoise and hare
        # in addition to a new step value for the random function.
        # To keep this example implementation deterministic, the
        # new values will be generated based on currently available
        # values instead of using something like ``random.randint``.

        # We can use the hare's position as the new seed.
        # This is actually what Richard Brent's the "optimized" variant does.
            lowerCamelCase__           =		hare

            # The new step value for the random function can just be incremented.
            # At first the results will be similar to what the old function would
            # have produced, but the value will quickly diverge after a bit.
            step += 1

      # We haven't found a divisor within the requested number of attempts.
      # We were unlucky or ``num`` itself is actually prime.
      return None


if __name__ == "__main__":
   import argparse

   _snake_case          =							argparse.ArgumentParser()
   parser.add_argument(
       "num",
       type=int,
       help="The value to find a divisor of",
   )
   parser.add_argument(
       "--attempts",
       type=int,
       default=3,
       help="The number of attempts before giving up",
   )
   _snake_case          =							parser.parse_args()

   _snake_case          =							pollard_rho(args.num, attempts=args.attempts)
   if divisor is None:
      print(f"""{args.num} is probably prime""")
   else:
      _snake_case          =							args.num // divisor
      print(f"""{args.num} = {divisor} * {quotient}""")



