






"""simple docstring"""



from __future__ import annotations

from math import gcd




def        _lowerCAmelCase						(							UpperCAmelCase__    :   int,  UpperCAmelCase__    :   int = 2,  UpperCAmelCase__    :   int = 1,  UpperCAmelCase__    :   int = 3,  )						->int | None:
						# A value less than 2 can cause an infinite loop in the algorithm.
						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(UpperCAmelCase__    :   int,  UpperCAmelCase__    :   int,  UpperCAmelCase__    :   int ) -> int:
												return (pow(UpperCAmelCase__,  2 ) + step) % modulus

						for _ in range(UpperCAmelCase__ ):
												# These track the position within the cycle detection logic.
												A__  :					Optional[Any]											=					seed
												A__  :					int											=					seed

												while True:
																		# At each iteration, the tortoise moves one step and the hare moves two.
																		A__  :					Union[str, Any]											=					rand_fn(UpperCAmelCase__,  UpperCAmelCase__,  UpperCAmelCase__ )
																		A__  :					Union[str, Any]											=					rand_fn(UpperCAmelCase__,  UpperCAmelCase__,  UpperCAmelCase__ )
																		A__  :					Optional[int]											=					rand_fn(UpperCAmelCase__,  UpperCAmelCase__,  UpperCAmelCase__ )

																		# 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``.
																		A__  :					str											=					gcd(hare - tortoise,  UpperCAmelCase__ )

																		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.
												A__  :					List[Any]											=					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

						A_      =							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''',
						)
						A_      =							parser.parse_args()

						A_      =							pollard_rho(args.num, attempts=args.attempts)
						if divisor is None:
												print(F'{args.num} is probably prime')
						else:
												A_      =							args.num // divisor
												print(F'{args.num} = {divisor} * {quotient}')














"""simple docstring"""



# Copyright 2023 The HuggingFace Inc. 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.
from typing import TYPE_CHECKING

from ..models.auto import AutoModelForVisionaSeq
from ..utils import requires_backends
from .base import PipelineTool


if TYPE_CHECKING:
						from PIL import Image






class 							__SCREAMING_SNAKE_CASE  (			UpperCamelCase						):
							snake_case_       =							'Salesforce/blip-image-captioning-base'
							snake_case_       =							(
							    'This is a tool that generates a description of an image. It takes an input named `image` which should be the '
							    'image to caption, and returns a text that contains the description in English.'
							)
							snake_case_       =							'image_captioner'
							snake_case_       =							AutoModelForVisionaSeq

							snake_case_       =							['image']
							snake_case_       =							['text']


							def __init__(     self :  int     ,      *snake_case :  Optional[int]     ,      **snake_case :  Optional[int]							):
													'''simple docstring'''





													requires_backends(self     ,      ["""vision"""]							)
													super().__init__(*snake_case     ,      **snake_case							)


							def   _UpperCamelCase    (     self :  int     ,      snake_case :  "Image"							):
													'''simple docstring'''





													return self.pre_processor(images=snake_case     ,      return_tensors="""pt"""							)


							def   _UpperCamelCase    (     self :  int     ,      snake_case :  List[Any]							):
													'''simple docstring'''





													return self.model.generate(**snake_case							)


							def   _UpperCamelCase    (     self :  Optional[int]     ,      snake_case :  Any							):
													'''simple docstring'''





													return self.pre_processor.batch_decode(snake_case     ,      skip_special_tokens=snake_case							)[0].strip()






