


'''simple docstring'''


from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import array, dot, pad, ravel, uinta, zeros


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A     ,__A  :					List[Any]						     =       image.shape
     __A  :					Tuple						     =       cols - block_size[1] + 1
     __A  :					int						     =       rows - block_size[0] + 1
     __A  :					List[str]						     =       zeros((dst_height * dst_width, block_size[1] * block_size[0])       )
     __A  :					List[str]						     =       0
     for i in range(0					,				SCREAMING_SNAKE_CASE       ):
          for j in range(0					,				SCREAMING_SNAKE_CASE       ):
               __A  :					str						     =       ravel(image[i : i + block_size[0], j : j + block_size[1]]       )
               __A  :					Optional[Any]						     =       window
               row += 1

     return image_array


def 		_lowercase   (SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A     ,__A  :					Tuple						     =       image.shape[0], image.shape[1]
     __A  :					Optional[Any]						     =       filter_kernel.shape[0]
     __A  :					Union[str, Any]						     =       k_size // 2
     # Pads image with the edge values of array.
     __A  :					Optional[Any]						     =       pad(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE					,				mode="edge"       )

     # im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
     __A  :					List[str]						     =       imacol(SCREAMING_SNAKE_CASE					,				(k_size, k_size)       )

     #  turn the kernel into shape(k*k, 1)
     __A  :					int						     =       ravel(SCREAMING_SNAKE_CASE       )
     # reshape and get the dst image
     __A  :					Union[str, Any]						     =       dot(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       ).reshape(SCREAMING_SNAKE_CASE					,				SCREAMING_SNAKE_CASE       )
     return dst


if __name__ == "__main__":
      # read original image
      _UpperCamelCase          =     imread(r"""../image_data/lena.jpg""")
      # turn image in gray scale value
      _UpperCamelCase          =     cvtColor(img, COLOR_BGR2GRAY)
      # Laplace operator
      _UpperCamelCase          =     array([[0, 1, 0], [1, -4, 1], [0, 1, 0]])
      _UpperCamelCase          =     img_convolve(gray, Laplace_kernel).astype(uinta)
      imshow("""Laplacian""", out)
      waitKey(0)





'''simple docstring'''


import math
from collections.abc import Generator


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Generator						     =       (i for i in range(1					,				(max_n + 1)       ))
     for i in (n for n in numbers if n > 1):
          for j in range(2					,				SCREAMING_SNAKE_CASE       ):
               if (i % j) == 0:
                    break
          else:
               yield i


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Generator						     =       (i for i in range(1					,				(max_n + 1)       ))
     for i in (n for n in numbers if n > 1):
          # only need to check for factors up to sqrt(i)
          __A  :					Optional[Any]						     =       int(math.sqrt(SCREAMING_SNAKE_CASE       )       ) + 1
          for j in range(2					,				SCREAMING_SNAKE_CASE       ):
               if (i % j) == 0:
                    break
          else:
               yield i


def 		_lowercase   (SCREAMING_SNAKE_CASE       ):




     '''simple docstring'''





     __A  :					Generator						     =       (i for i in range(1					,				(max_n + 1)					,				2       ))
     # It's useless to test even numbers as they will not be prime
     if max_n > 2:
          yield 2  # Because 2 will not be tested, it's necessary to yield it now
     for i in (n for n in numbers if n > 1):
          __A  :					List[str]						     =       int(math.sqrt(SCREAMING_SNAKE_CASE       )       ) + 1
          for j in range(3					,				SCREAMING_SNAKE_CASE					,				2       ):
               # As we removed the even numbers, we don't need them now
               if (i % j) == 0:
                    break
          else:
               yield i


def 		_lowercase   ():




     '''simple docstring'''





     from timeit import timeit

     __A  :					List[str]						     =       "from __main__ import slow_primes, primes, fast_primes"
     print(timeit("slow_primes(1_000_000_000_000)"					,				setup=SCREAMING_SNAKE_CASE					,				number=100_0000       )       )
     print(timeit("primes(1_000_000_000_000)"					,				setup=SCREAMING_SNAKE_CASE					,				number=100_0000       )       )
     print(timeit("fast_primes(1_000_000_000_000)"					,				setup=SCREAMING_SNAKE_CASE					,				number=100_0000       )       )


if __name__ == "__main__":
      _UpperCamelCase          =     int(input("""Calculate primes up to:\n>> """).strip())
      for ret in primes(number):
            print(ret)
      benchmark()

