




import random




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						int				)  ->							bool:
    UpperCAmelCase_										=					num - 1
    UpperCAmelCase_										=					0

    while s % 2 == 0:
        UpperCAmelCase_										=					s // 2
        t += 1

    for _ in range(5				):
        UpperCAmelCase_										=					random.randrange(2	,					num - 1				)
        UpperCAmelCase_										=					pow(__UpperCamelCase	,					__UpperCamelCase	,					__UpperCamelCase				)
        if v != 1:
            UpperCAmelCase_										=					0
            while v != (num - 1):
                if i == t - 1:
                    return False
                else:
                    UpperCAmelCase_										=					i + 1
                    UpperCAmelCase_										=					(v**2) % num
    return True




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						int				)  ->							bool:
    if num < 2:
        return False

    UpperCAmelCase_										=					[
        2,
        3,
        5,
        7,
        11,
        13,
        17,
        19,
        23,
        29,
        31,
        37,
        41,
        43,
        47,
        53,
        59,
        61,
        67,
        71,
        73,
        79,
        83,
        89,
        97,
        101,
        103,
        107,
        109,
        113,
        127,
        131,
        137,
        139,
        149,
        151,
        157,
        163,
        167,
        173,
        179,
        181,
        191,
        193,
        197,
        199,
        211,
        223,
        227,
        229,
        233,
        239,
        241,
        251,
        257,
        263,
        269,
        271,
        277,
        281,
        283,
        293,
        307,
        311,
        313,
        317,
        331,
        337,
        347,
        349,
        353,
        359,
        367,
        373,
        379,
        383,
        389,
        397,
        401,
        409,
        419,
        421,
        431,
        433,
        439,
        443,
        449,
        457,
        461,
        463,
        467,
        479,
        487,
        491,
        499,
        503,
        509,
        521,
        523,
        541,
        547,
        557,
        563,
        569,
        571,
        577,
        587,
        593,
        599,
        601,
        607,
        613,
        617,
        619,
        631,
        641,
        643,
        647,
        653,
        659,
        661,
        673,
        677,
        683,
        691,
        701,
        709,
        719,
        727,
        733,
        739,
        743,
        751,
        757,
        761,
        769,
        773,
        787,
        797,
        809,
        811,
        821,
        823,
        827,
        829,
        839,
        853,
        857,
        859,
        863,
        877,
        881,
        883,
        887,
        907,
        911,
        919,
        929,
        937,
        941,
        947,
        953,
        967,
        971,
        977,
        983,
        991,
        997,
    ]

    if num in low_primes:
        return True

    for prime in low_primes:
        if (num % prime) == 0:
            return False

    return rabin_miller(__UpperCamelCase				)




def  SCREAMING_SNAKE_CASE     (	__UpperCamelCase      :						int = 1024				)  ->							int:
    while True:
        UpperCAmelCase_										=					random.randrange(2 ** (keysize - 1)	,					2 ** (keysize)				)
        if is_prime_low_num(__UpperCamelCase				):
            return num


if __name__ == "__main__":
 _lowerCamelCase      			=						generate_large_prime()
 print(('Prime number:', num))
 print(('is_prime_low_num:', is_prime_low_num(num)))











from typing import Dict, Iterable, List, Optional, Union

import numpy as np

from ...image_processing_utils import BaseImageProcessor, BatchFeature, get_size_dict
from ...image_transforms import (
    center_crop,
    get_resize_output_image_size,
    normalize,
    rescale,
    resize,
    to_channel_dimension_format,
)
from ...image_utils import (
    IMAGENET_DEFAULT_MEAN,
    IMAGENET_DEFAULT_STD,
    ChannelDimension,
    ImageInput,
    PILImageResampling,
    make_list_of_images,
    to_numpy_array,
    valid_images,
)
from ...utils import TensorType, logging


_lowerCamelCase      			=						logging.get_logger(__name__)



class       a					(       _A      ):

     '''simple docstring'''





     lowerCAmelCase    :	List[Any]       		=  ['pixel_values']
     def __init__(     self       :      Any ,   __snake_case       :      bool = True ,   __snake_case       :      Dict[str, int] = None ,   __snake_case       :      PILImageResampling = PILImageResampling.BICUBIC ,   __snake_case       :      bool = True ,   __snake_case       :      Dict[str, int] = None ,   __snake_case       :      bool = True ,   __snake_case       :      Union[int, float] = 1 / 2_55 ,   __snake_case       :      bool = True ,   __snake_case       :      Optional[Union[float, Iterable[float]]] = IMAGENET_DEFAULT_MEAN ,   __snake_case       :      Optional[Union[float, Iterable[float]]] = IMAGENET_DEFAULT_STD ,   **__snake_case       :      Optional[Any] ,   ):
         super().__init__(**__snake_case    )
         UpperCAmelCase_										=					size if size is not None else {'''shortest_edge''': 2_24}
         UpperCAmelCase_										=					get_size_dict(__snake_case ,   default_to_square=__snake_case    )
         UpperCAmelCase_										=					crop_size if crop_size is not None else {'''height''': 2_24, '''width''': 2_24}
         UpperCAmelCase_										=					get_size_dict(__snake_case ,   param_name='''crop_size'''    )

         UpperCAmelCase_										=					do_resize
         UpperCAmelCase_										=					size
         UpperCAmelCase_										=					resample
         UpperCAmelCase_										=					do_center_crop
         UpperCAmelCase_										=					crop_size
         UpperCAmelCase_										=					do_rescale
         UpperCAmelCase_										=					rescale_factor
         UpperCAmelCase_										=					do_normalize
         UpperCAmelCase_										=					image_mean if image_mean is not None else IMAGENET_DEFAULT_MEAN
         UpperCAmelCase_										=					image_std if image_std is not None else IMAGENET_DEFAULT_STD
     def   lowerCamelCase_       (     self       :      int ,   __snake_case       :      np.ndarray ,   __snake_case       :      Dict[str, int] ,   __snake_case       :      PILImageResampling = PILImageResampling.BICUBIC ,   __snake_case       :      Optional[Union[str, ChannelDimension]] = None ,   **__snake_case       :      Tuple ,   ):
         UpperCAmelCase_										=					get_size_dict(__snake_case ,   default_to_square=__snake_case    )
         # size_dict is a dict with either keys "height" and "width" or "shortest_edge"
         if "shortest_edge" in size:
             UpperCAmelCase_										=					int((2_56 / 2_24) * size['''shortest_edge''']    )
             UpperCAmelCase_										=					get_resize_output_image_size(__snake_case ,   size=__snake_case ,   default_to_square=__snake_case    )
             UpperCAmelCase_										=					{'''height''': output_size[0], '''width''': output_size[1]}
         if "height" not in size_dict or "width" not in size_dict:
             raise ValueError(
                 F'Size dict must have keys \'height\' and \'width\' or \'shortest_edge\'. Got {size_dict.keys()}'    )
         return resize(
             __snake_case ,   size=(size_dict['''height'''], size_dict['''width''']) ,   resample=__snake_case ,   data_format=__snake_case ,   **__snake_case    )
     def   lowerCamelCase_       (     self       :      Tuple ,   __snake_case       :      np.ndarray ,   __snake_case       :      Dict[str, int] ,   __snake_case       :      Optional[Union[str, ChannelDimension]] = None ,   **__snake_case       :      Optional[int] ,   ):
         UpperCAmelCase_										=					get_size_dict(__snake_case    )
         if "height" not in size or "width" not in size:
             raise ValueError(F'Size dict must have keys \'height\' and \'width\'. Got {size.keys()}'    )
         return center_crop(__snake_case ,   size=(size['''height'''], size['''width''']) ,   data_format=__snake_case ,   **__snake_case    )
     def   lowerCamelCase_       (     self       :      Optional[Any] ,   __snake_case       :      np.ndarray ,   __snake_case       :      Union[int, float] ,   __snake_case       :      Optional[Union[str, ChannelDimension]] = None ,   **__snake_case       :      List[Any] ,   ):
         return rescale(__snake_case ,   scale=__snake_case ,   data_format=__snake_case ,   **__snake_case    )
     def   lowerCamelCase_       (     self       :      int ,   __snake_case       :      np.ndarray ,   __snake_case       :      Union[float, List[float]] ,   __snake_case       :      Union[float, List[float]] ,   __snake_case       :      Optional[Union[str, ChannelDimension]] = None ,   **__snake_case       :      Union[str, Any] ,   ):
         return normalize(__snake_case ,   mean=__snake_case ,   std=__snake_case ,   data_format=__snake_case ,   **__snake_case    )




     def   lowerCamelCase_       (     self       :      int ,   __snake_case       :      ImageInput ,   __snake_case       :      Optional[bool] = None ,   __snake_case       :      Optional[Dict[str, int]] = None ,   __snake_case       :      PILImageResampling = None ,   __snake_case       :      Optional[bool] = None ,   __snake_case       :      Optional[Dict[str, int]] = None ,   __snake_case       :      Optional[bool] = None ,   __snake_case       :      Optional[float] = None ,   __snake_case       :      Optional[bool] = None ,   __snake_case       :      Optional[Union[float, Iterable[float]]] = None ,   __snake_case       :      Optional[Union[float, Iterable[float]]] = None ,   __snake_case       :      Optional[TensorType] = None ,   __snake_case       :      ChannelDimension = ChannelDimension.FIRST ,   **__snake_case       :      List[str] ,   ):
         UpperCAmelCase_										=					do_resize if do_resize is not None else self.do_resize
         UpperCAmelCase_										=					resample if resample is not None else self.resample
         UpperCAmelCase_										=					do_center_crop if do_center_crop is not None else self.do_center_crop
         UpperCAmelCase_										=					do_rescale if do_rescale is not None else self.do_rescale
         UpperCAmelCase_										=					rescale_factor if rescale_factor is not None else self.rescale_factor
         UpperCAmelCase_										=					do_normalize if do_normalize is not None else self.do_normalize
         UpperCAmelCase_										=					image_mean if image_mean is not None else self.image_mean
         UpperCAmelCase_										=					image_std if image_std is not None else self.image_std

         UpperCAmelCase_										=					size if size is not None else self.size
         UpperCAmelCase_										=					get_size_dict(__snake_case ,   default_to_square=__snake_case    )
         UpperCAmelCase_										=					crop_size if crop_size is not None else self.crop_size
         UpperCAmelCase_										=					get_size_dict(__snake_case ,   param_name='''crop_size'''    )

         UpperCAmelCase_										=					make_list_of_images(__snake_case    )

         if not valid_images(__snake_case    ):
             raise ValueError(
                 '''Invalid image type. Must be of type PIL.Image.Image, numpy.ndarray, '''
                 '''torch.Tensor, tf.Tensor or jax.ndarray.'''    )

         if do_resize and size is None:
             raise ValueError('''Size must be specified if do_resize is True.'''    )

         if do_center_crop and crop_size is None:
             raise ValueError('''Crop size must be specified if do_center_crop is True.'''    )

         if do_rescale and rescale_factor is None:
             raise ValueError('''Rescale factor must be specified if do_rescale is True.'''    )

         if do_normalize and (image_mean is None or image_std is None):
             raise ValueError('''Image mean and std must be specified if do_normalize is True.'''    )

         # All transformations expect numpy arrays.
         UpperCAmelCase_										=					[to_numpy_array(__snake_case    ) for image in images]

         if do_resize:
             UpperCAmelCase_										=					[self.resize(__snake_case ,   __snake_case ,   __snake_case    ) for image in images]

         if do_center_crop:
             UpperCAmelCase_										=					[self.center_crop(__snake_case ,   __snake_case    ) for image in images]

         if do_rescale:
             UpperCAmelCase_										=					[self.rescale(__snake_case ,   __snake_case    ) for image in images]

         if do_normalize:
             UpperCAmelCase_										=					[self.normalize(__snake_case ,   __snake_case ,   __snake_case    ) for image in images]

         UpperCAmelCase_										=					[to_channel_dimension_format(__snake_case ,   __snake_case    ) for image in images]

         UpperCAmelCase_										=					{'''pixel_values''': images}
         return BatchFeature(data=__snake_case ,   tensor_type=__snake_case    )





