



import math
import sys

import cva
import numpy as np

def   _lowerCAmelCase   (						A__						,  A__	):
      # For applying gaussian function for each element in matrix.
      lowercase__     =  math.sqrt(A__	)
      lowercase__     =  1 / (sigma * math.sqrt(2 * math.pi	))
      return cons * np.exp(-((img / sigma) ** 2) * 0.5	)

def   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__	):
      lowercase__     =  kernel_size // 2
      return img[x - half : x + half + 1, y - half : y + half + 1]

def   _lowerCAmelCase   (						A__						,  A__	):
      # Creates a gaussian kernel of given dimension.
      lowercase__     =  np.zeros((kernel_size, kernel_size)	)
      for i in range(0						,  A__	):
            for j in range(0						,  A__	):
                  lowercase__     =  math.sqrt(
                      abs(i - kernel_size // 2	) ** 2 + abs(j - kernel_size // 2	) ** 2	)
      return vec_gaussian(A__						,  A__	)

def   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__						,  ):
      lowercase__     =  np.zeros(img.shape	)
      lowercase__     =  get_gauss_kernel(A__						,  A__	)
      lowercase__,	lowercase__     =  img.shape
      for i in range(kernel_size // 2						,  size_x - kernel_size // 2	):
            for j in range(kernel_size // 2						,  size_y - kernel_size // 2	):
                  lowercase__     =  get_slice(A__						,  A__						,  A__						,  A__	)
                  lowercase__     =  img_s - img_s[kernel_size // 2, kernel_size // 2]
                  lowercase__     =  vec_gaussian(A__						,  A__	)
                  lowercase__     =  np.multiply(A__						,  A__	)
                  lowercase__     =  np.multiply(A__						,  A__	)
                  lowercase__     =  np.sum(A__	) / np.sum(A__	)
                  lowercase__     =  val
      return imga

def   _lowerCAmelCase   (						A__	):
      lowercase__     =  args[1] if args[1:] else '../image_data/lena.jpg'
      lowercase__     =  float(args[2]	) if args[2:] else 1.0
      lowercase__     =  float(args[3]	) if args[3:] else 1.0
      if args[4:]:
            lowercase__     =  int(args[4]	)
            lowercase__     =  kernel_size + abs(kernel_size % 2 - 1	)
      else:
            lowercase__     =  5
      return filename, spatial_variance, intensity_variance, kernel_size


if __name__ == "__main__":
       a__	,		a__	,		a__	,		a__      :				List[Any]   	=			parse_args(sys.argv)
       a__      :				Any   	=			cva.imread(filename, 0)
       cva.imshow("input image", img)

       a__      :				Optional[int]   	=			img / 2_55
       a__      :				List[Any]   	=			out.astype("float32")
       a__      :				Tuple   	=			bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
       a__      :				Optional[Any]   	=			out * 2_55
       a__      :				Dict   	=			np.uinta(out)
       cva.imshow("output image", out)
       cva.waitKey(0)
       cva.destroyAllWindows()





from __future__ import annotations

def   _lowerCAmelCase   (						A__						,  A__	):
      if b == 0:
            return (1, 0)
      ((lowercase__),	(lowercase__))     =  extended_euclid(A__						,  a % b	)
      lowercase__     =  a // b
      return (y, x - k * y)

def   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__	):
      ((lowercase__),	(lowercase__))     =  extended_euclid(A__						,  A__	)
      lowercase__     =  na * na
      lowercase__     =  ra * x * na + ra * y * na
      return (n % m + m) % m

def   _lowerCAmelCase   (						A__						,  A__	):
      ((lowercase__),	(lowercase__))     =  extended_euclid(A__						,  A__	)
      if b < 0:
            lowercase__     =  (b % n + n) % n
      return b

def   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__	):
      lowercase__,	lowercase__     =  invert_modulo(A__						,  A__	), invert_modulo(A__						,  A__	)
      lowercase__     =  na * na
      lowercase__     =  ra * x * na + ra * y * na
      return (n % m + m) % m


if __name__ == "__main__":
       from doctest import testmod

       testmod(name="chinese_remainder_theorem", verbose=True)
       testmod(name="chinese_remainder_theorem2", verbose=True)
       testmod(name="invert_modulo", verbose=True)
       testmod(name="extended_euclid", verbose=True)
