
'''simple docstring'''


from itertools import product

from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import dot, exp, mgrid, pi, ravel, square, uinta, zeros



def  __snake_case     (    _UpperCAmelCase					:       Union[str, Any],      _UpperCAmelCase					:       Any):
   UpperCamelCase       =  k_size // 2
   UpperCamelCase     , UpperCamelCase       =  mgrid[0 - center : k_size - center, 0 - center : k_size - center]
   UpperCamelCase       =  1 / (2 * pi * sigma) * exp(-(square(_UpperCAmelCase) + square(_UpperCAmelCase)) / (2 * square(_UpperCAmelCase)))
   return g



def  __snake_case     (    _UpperCAmelCase					:       Optional[int],      _UpperCAmelCase					:       int,      _UpperCAmelCase					:       str):
   UpperCamelCase     , UpperCamelCase       =  image.shape[0], image.shape[1]
   # dst image height and width
   UpperCamelCase       =  height - k_size + 1
   UpperCamelCase       =  width - k_size + 1

   # im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
   UpperCamelCase       =  zeros((dst_height * dst_width, k_size * k_size))
   UpperCamelCase       =  0
   for i, j in product(range(_UpperCAmelCase),      range(_UpperCAmelCase)):
      UpperCamelCase       =  ravel(image[i : i + k_size, j : j + k_size])
      UpperCamelCase       =  window
      row += 1

   #  turn the kernel into shape(k*k, 1)
   UpperCamelCase       =  gen_gaussian_kernel(_UpperCAmelCase,      _UpperCAmelCase)
   UpperCamelCase       =  ravel(_UpperCAmelCase)

   # reshape and get the dst image
   UpperCamelCase       =  dot(_UpperCAmelCase,      _UpperCAmelCase).reshape(_UpperCAmelCase,      _UpperCAmelCase).astype(_UpperCAmelCase)

   return dst


if __name__ == "__main__":
   # read original image
   snake_case_ :  int     =					imread(r'../image_data/lena.jpg')
   # turn image in gray scale value
   snake_case_ :  List[str]     =					cvtColor(img, COLOR_BGR2GRAY)

   # get values with two different mask size
   snake_case_ :  Optional[Any]     =					gaussian_filter(gray, 3, sigma=1)
   snake_case_ :  List[str]     =					gaussian_filter(gray, 5, sigma=0.8)

   # show result images
   imshow('gaussian filter with 3x3 mask', gaussianaxa)
   imshow('gaussian filter with 5x5 mask', gaussianaxa)
   waitKey()







'''simple docstring'''


def  __snake_case     (    _UpperCAmelCase					:       Optional[int]):
   UpperCamelCase       =  []
   UpperCamelCase       =  []
   UpperCamelCase       =  {
       '''^''': 3,
       '''*''': 2,
       '''/''': 2,
       '''%''': 2,
       '''+''': 1,
       '''-''': 1,
   }  # Priority of each operator
   UpperCamelCase       =  len(_UpperCAmelCase) if (len(_UpperCAmelCase) > 7) else 7

   # Print table header for output
   print(
       '''Symbol'''.center(8),      '''Stack'''.center(_UpperCAmelCase),      '''Postfix'''.center(_UpperCAmelCase),      sep=''' | ''',      )
   print('''-''' * (print_width * 3 + 7))

   for x in infix:
      if x.isalpha() or x.isdigit():
         post_fix.append(_UpperCAmelCase)  # if x is Alphabet / Digit, add it to Postfix
      elif x == "(":
         stack.append(_UpperCAmelCase)  # if x is "(" push to Stack
      elif x == ")":  # if x is ")" pop stack until "(" is encountered
         while stack[-1] != "(":
            post_fix.append(stack.pop())  # Pop stack & add the content to Postfix
         stack.pop()
      else:
         if len(_UpperCAmelCase) == 0:
            stack.append(_UpperCAmelCase)  # If stack is empty, push x to stack
         else:  # while priority of x is not > priority of element in the stack
            while len(_UpperCAmelCase) > 0 and priority[x] <= priority[stack[-1]]:
               post_fix.append(stack.pop())  # pop stack & add to Postfix
            stack.append(_UpperCAmelCase)  # push x to stack

      print(
          x.center(8),      (''''''.join(_UpperCAmelCase)).ljust(_UpperCAmelCase),      (''''''.join(_UpperCAmelCase)).ljust(_UpperCAmelCase),      sep=''' | ''',      )  # Output in tabular format

   while len(_UpperCAmelCase) > 0:  # while stack is not empty
      post_fix.append(stack.pop())  # pop stack & add to Postfix
      print(
          ''' '''.center(8),      (''''''.join(_UpperCAmelCase)).ljust(_UpperCAmelCase),      (''''''.join(_UpperCAmelCase)).ljust(_UpperCAmelCase),      sep=''' | ''',      )  # Output in tabular format

   return "".join(_UpperCAmelCase)  # return Postfix as str



def  __snake_case     (    _UpperCAmelCase					:       str):
   UpperCamelCase       =  list(infix[::-1])  # reverse the infix equation

   for i in range(len(_UpperCAmelCase)):
      if infix[i] == "(":
         UpperCamelCase       =  ''')'''  # change "(" to ")"
      elif infix[i] == ")":
         UpperCamelCase       =  '''('''  # change ")" to "("

   return (infix_2_postfix(''''''.join(_UpperCAmelCase)))[
       ::-1
   ]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
   snake_case_ :  str     =					input('\nEnter an Infix Equation = ')  # Input an Infix equation
   snake_case_ :  Union[str, Any]     =					''.join(Infix.split())  # Remove spaces from the input
   print('\n\t', Infix, '(Infix) -> ', infix_2_prefix(Infix), '(Prefix)')





