




import numpy as np
from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey

from digital_image_processing.filters.convolve import img_convolve

def       lowerCAmelCase_      (	lowerCamelCase:							List[str]    )       ->      Any:


      '''simple docstring'''




      lowerCamelCase__   	=					np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]    )
      lowerCamelCase__   	=					np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]    )

      lowerCamelCase__   	=					np.abs(img_convolve(lowerCamelCase__  ,					lowerCamelCase__    )    )
      lowerCamelCase__   	=					np.abs(img_convolve(lowerCamelCase__  ,					lowerCamelCase__    )    )
      # modify the pix within [0, 255]
      lowerCamelCase__   	=					dst_x * 2_55 / np.max(lowerCamelCase__    )
      lowerCamelCase__   	=					dst_y * 2_55 / np.max(lowerCamelCase__    )

      lowerCamelCase__   	=					np.sqrt((np.square(lowerCamelCase__    )) + (np.square(lowerCamelCase__    ))    )
      lowerCamelCase__   	=					dst_xy * 2_55 / np.max(lowerCamelCase__    )
      lowerCamelCase__   	=					dst_xy.astype(np.uinta    )

      lowerCamelCase__   	=					np.arctana(lowerCamelCase__  ,					lowerCamelCase__    )
      return dst, theta


if __name__ == "__main__":
      # read original image
      __SCREAMING_SNAKE_CASE     : Union[str, Any]      =imread("""../image_data/lena.jpg""")
      # turn image in gray scale value
      __SCREAMING_SNAKE_CASE     : Union[str, Any]      =cvtColor(img, COLOR_BGR2GRAY)

      __SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE     : Tuple      =sobel_filter(gray)

      # show result images
      imshow("""sobel filter""", sobel_grad)
      imshow("""sobel theta""", sobel_theta)
      waitKey(0)
from collections.abc import Callable

_SCREAMING_SNAKE_CASE     =     Callable[[float], float]  # type alias for a real -> real function
def 					__lowercase						(    lowerCamelCase__			,					lowerCamelCase__			,					lowerCamelCase__			,					)					->float:

  '''simple docstring'''




  a__  		=  float(lowerCamelCase__       )
  while True:
    try:
      a__  		=  prev_guess - function(lowerCamelCase__       ) / derivative(lowerCamelCase__       )
    except ZeroDivisionError:
      raise ZeroDivisionError("Could not find root"       ) from None
    if abs(prev_guess - next_guess       ) < 10**-5:
      return next_guess
    a__  		=  next_guess
def 					__lowercase						(    lowerCamelCase__       )					->float:

  '''simple docstring'''




  return (x**3) - (2 * x) - 5
def 					__lowercase						(    lowerCamelCase__       )					->float:

  '''simple docstring'''




  return 3 * (x**2) - 2


if __name__ == "__main__":
     print(newton(f, fa, 3))

