

"""simple docstring"""





import cva
import numpy as np

from digital_image_processing.filters.convolve import img_convolve
from digital_image_processing.filters.sobel_filter import sobel_filter

_a					 =				1_80




def     _A    (    UpperCamelCase_	:			List[str],     UpperCamelCase_	:			int)      ->		Union[str, Any]:
   '''simple docstring'''


   __lowercase								=		k_size // 2
   __lowercase						,__lowercase								=		np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
   __lowercase								=		(
       1
       / (2 * np.pi * sigma)
       * np.exp(-(np.square(UpperCamelCase_) + np.square(UpperCamelCase_)) / (2 * np.square(UpperCamelCase_)))
   )
   return g




def     _A    (    UpperCamelCase_	:			List[str],     UpperCamelCase_	:			int,     UpperCamelCase_	:			Optional[Any])      ->		List[str]:
   '''simple docstring'''


   __lowercase								=		np.zeros(UpperCamelCase_)

   for row in range(1,     image_shape[0] - 1):
      for col in range(1,     image_shape[1] - 1):
         __lowercase								=		gradient_direction[row, col]

         if (
             0 <= direction < PI / 8
             or 15 * PI / 8 <= direction <= 2 * PI
             or 7 * PI / 8 <= direction <= 9 * PI / 8
         ):
            __lowercase								=		sobel_grad[row, col - 1]
            __lowercase								=		sobel_grad[row, col + 1]
            if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
               __lowercase								=		sobel_grad[row, col]

         elif (
             PI / 8 <= direction < 3 * PI / 8
             or 9 * PI / 8 <= direction < 11 * PI / 8
         ):
            __lowercase								=		sobel_grad[row + 1, col - 1]
            __lowercase								=		sobel_grad[row - 1, col + 1]
            if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
               __lowercase								=		sobel_grad[row, col]

         elif (
             3 * PI / 8 <= direction < 5 * PI / 8
             or 11 * PI / 8 <= direction < 13 * PI / 8
         ):
            __lowercase								=		sobel_grad[row - 1, col]
            __lowercase								=		sobel_grad[row + 1, col]
            if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
               __lowercase								=		sobel_grad[row, col]

         elif (
             5 * PI / 8 <= direction < 7 * PI / 8
             or 13 * PI / 8 <= direction < 15 * PI / 8
         ):
            __lowercase								=		sobel_grad[row - 1, col - 1]
            __lowercase								=		sobel_grad[row + 1, col + 1]
            if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
               __lowercase								=		sobel_grad[row, col]

   return destination




def     _A    (    UpperCamelCase_	:			Any,     UpperCamelCase_	:			Union[str, Any],     UpperCamelCase_	:			Tuple,     UpperCamelCase_	:			int,     UpperCamelCase_	:			List[str],     UpperCamelCase_	:			Union[str, Any])      ->		str:
   '''simple docstring'''


   for row in range(1,     image_shape[0] - 1):
      for col in range(1,     image_shape[1] - 1):
         if destination[row, col] >= threshold_high:
            __lowercase								=		strong
         elif destination[row, col] <= threshold_low:
            __lowercase								=		0
         else:
            __lowercase								=		weak




def     _A    (    UpperCamelCase_	:			int,     UpperCamelCase_	:			List[str],     UpperCamelCase_	:			Optional[int],     UpperCamelCase_	:			str)      ->		Optional[Any]:
   '''simple docstring'''


   for row in range(1,     image_shape[0]):
      for col in range(1,     image_shape[1]):
         if destination[row, col] == weak:
            if 255 in (
                destination[row, col + 1],
                destination[row, col - 1],
                destination[row - 1, col],
                destination[row + 1, col],
                destination[row - 1, col - 1],
                destination[row + 1, col - 1],
                destination[row - 1, col + 1],
                destination[row + 1, col + 1],
            ):
               __lowercase								=		strong
            else:
               __lowercase								=		0




def     _A    (    UpperCamelCase_	:			str,     UpperCamelCase_	:			str=15,     UpperCamelCase_	:			Dict=30,     UpperCamelCase_	:			Tuple=128,     UpperCamelCase_	:			Any=255)      ->		List[str]:
   '''simple docstring'''


   __lowercase								=		img_convolve(UpperCamelCase_,     gen_gaussian_kernel(9,     sigma=1.4))
   # get the gradient and degree by sobel_filter
   __lowercase						,__lowercase								=		sobel_filter(UpperCamelCase_)
   __lowercase								=		PI + np.radadeg(UpperCamelCase_)

   __lowercase								=		suppress_non_maximum(image.shape,     UpperCamelCase_,     UpperCamelCase_)

   detect_high_low_threshold(
       image.shape,     UpperCamelCase_,     UpperCamelCase_,     UpperCamelCase_,     UpperCamelCase_,     UpperCamelCase_)

   track_edge(image.shape,     UpperCamelCase_,     UpperCamelCase_,     UpperCamelCase_)

   return destination


if __name__ == "__main__":
   # read original image in gray mode
   _a					 =				cva.imread(r'../image_data/lena.jpg', 0)
   # canny edge detection
   _a					 =				canny(lena)
   cva.imshow('canny', canny_destination)
   cva.waitKey(0)







"""simple docstring"""





import math
from decimal import Decimal, getcontext




def     _A    (    UpperCamelCase_	:			int = 4000000)      ->		int:
   '''simple docstring'''


   try:
      __lowercase								=		int(UpperCamelCase_)
   except (TypeError, ValueError):
      raise TypeError("Parameter n must be int or castable to int.")
   if n <= 0:
      raise ValueError("Parameter n must be greater than or equal to one.")
   __lowercase								=		100
   __lowercase								=		(Decimal(5) ** Decimal(0.5) + 1) / Decimal(2)

   __lowercase								=		(math.floor(math.log(n * (phi + 2),     UpperCamelCase_) - 1) // 3) * 3 + 2
   __lowercase								=		Decimal(round(phi ** Decimal(index + 1))) / (phi + 2)
   __lowercase								=		num // 2
   return int(UpperCamelCase_)


if __name__ == "__main__":
   print(F"{solution() = }")




