



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__      :				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()





def   _lowerCAmelCase   (						A__						,  A__						,  A__	):
      if principal <= 0:
            raise Exception('Principal borrowed must be > 0'	)
      if rate_per_annum < 0:
            raise Exception('Rate of interest must be >= 0'	)
      if years_to_repay <= 0 or not isinstance(A__						,  A__	):
            raise Exception('Years to repay must be an integer > 0'	)

      # Yearly rate is divided by 12 to get monthly rate
      lowercase__     =  rate_per_annum / 12

      # Years to repay is multiplied by 12 to get number of payments as payment is monthly
      lowercase__     =  years_to_repay * 12

      return (
          principal
          * rate_per_month
          * (1 + rate_per_month) ** number_of_payments
          / ((1 + rate_per_month) ** number_of_payments - 1)
      )


if __name__ == "__main__":
       import doctest

       doctest.testmod()
