






"""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

_UpperCamelCase							:       Optional[int]       					=		180




def      snake_case    (A_ :List[Any]      ,     A_ :int ):







  '''simple docstring'''

  a	:     int							=  k_size // 2
  a	:     Any							=  np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
  a	:     str							=  (
      1
      / (2 * np.pi * sigma)
      * np.exp(-(np.square(lowercase__ ) + np.square(lowercase__ )) / (2 * np.square(lowercase__ )) )
  )
  return g




def      snake_case    (A_ :List[str]      ,     A_ :Any      ,     A_ :Any ):







  '''simple docstring'''

  a	:     Dict							=  np.zeros(lowercase__ )

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

      if (
          0 <= direction < PI / 8
          or 1_5 * PI / 8 <= direction <= 2 * PI
          or 7 * PI / 8 <= direction <= 9 * PI / 8
      ):
        a	:     Tuple							=  sobel_grad[row, col - 1]
        a	:     Any							=  sobel_grad[row, col + 1]
        if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
          a	:     Any							=  sobel_grad[row, col]

      elif (
          PI / 8 <= direction < 3 * PI / 8
          or 9 * PI / 8 <= direction < 1_1 * PI / 8
      ):
        a	:     Tuple							=  sobel_grad[row + 1, col - 1]
        a	:     Union[str, Any]							=  sobel_grad[row - 1, col + 1]
        if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
          a	:     Any							=  sobel_grad[row, col]

      elif (
          3 * PI / 8 <= direction < 5 * PI / 8
          or 1_1 * PI / 8 <= direction < 1_3 * PI / 8
      ):
        a	:     Optional[Any]							=  sobel_grad[row - 1, col]
        a	:     Optional[Any]							=  sobel_grad[row + 1, col]
        if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
          a	:     Tuple							=  sobel_grad[row, col]

      elif (
          5 * PI / 8 <= direction < 7 * PI / 8
          or 1_3 * PI / 8 <= direction < 1_5 * PI / 8
      ):
        a	:     int							=  sobel_grad[row - 1, col - 1]
        a	:     List[Any]							=  sobel_grad[row + 1, col + 1]
        if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
          a	:     Optional[Any]							=  sobel_grad[row, col]

  return destination




def      snake_case    (A_ :List[str]      ,     A_ :str      ,     A_ :Any      ,     A_ :Optional[Any]      ,     A_ :Tuple      ,     A_ :int ):







  '''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:
        a	:     str							=  strong
      elif destination[row, col] <= threshold_low:
        a	:     int							=  0
      else:
        a	:     Optional[int]							=  weak




def      snake_case    (A_ :List[Any]      ,     A_ :List[Any]      ,     A_ :str      ,     A_ :List[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 2_5_5 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],
        ):
          a	:     str							=  strong
        else:
          a	:     Dict							=  0




def      snake_case    (A_ :Union[str, Any]      ,     A_ :Dict=1_5      ,     A_ :Tuple=3_0      ,     A_ :Dict=1_2_8      ,     A_ :List[str]=2_5_5 ):







  '''simple docstring'''

  a	:     Optional[int]							=  img_convolve(lowercase__      ,     gen_gaussian_kernel(9      ,     sigma=1.4 ) )
  # get the gradient and degree by sobel_filter
  a	:     List[Any]							=  sobel_filter(lowercase__ )
  a	:     List[Any]							=  PI + np.radadeg(lowercase__ )

  a	:     Union[str, Any]							=  suppress_non_maximum(image.shape      ,     lowercase__      ,     lowercase__ )

  detect_high_low_threshold(
      image.shape      ,     lowercase__      ,     lowercase__      ,     lowercase__      ,     lowercase__      ,     lowercase__ )

  track_edge(image.shape      ,     lowercase__      ,     lowercase__      ,     lowercase__ )

  return destination


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








from __future__ import annotations

from typing import Any
def 			__SCREAMING_SNAKE_CASE							(					*lowercase__	:list[list[int]]					)							->	list[list[int]]:
						if all(_check_not_integer(lowercase__					) for m in matrix_s					):
												for i in matrix_s[1:]:
																		_verify_matrix_sizes(matrix_s[0]   ,    lowercase__					)
												return [[sum(lowercase__					) for t in zip(*lowercase__					)] for m in zip(*lowercase__					)]
						raise TypeError('Expected a matrix, got int/list instead'					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:list[list[int]]					)							->	list[list[int]]:
						if (
						    _check_not_integer(lowercase__					)
						    and _check_not_integer(lowercase__					)
						    and _verify_matrix_sizes(lowercase__   ,    lowercase__					)
						):
												return [[i - j for i, j in zip(*lowercase__					)] for m in zip(lowercase__   ,    lowercase__					)]
						raise TypeError('Expected a matrix, got int/list instead'					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:int | float					)							->	list[list[float]]:
						return [[x * n for x in row] for row in matrix]
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:list[list[int]]					)							->	list[list[int]]:
						if _check_not_integer(lowercase__					) and _check_not_integer(lowercase__					):
												__magic_name__		,			__magic_name__					:				str				=   _verify_matrix_sizes(lowercase__   ,    lowercase__					)

						if cols[0] != rows[1]:
												__magic_name__					:				Union[str, Any]				=   (
												    'Cannot multiply matrix of dimensions '
												    f"({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"
												)
												raise ValueError(lowercase__					)
						return [
						    [sum(m * n for m, n in zip(lowercase__   ,    lowercase__					)					) for j in zip(*lowercase__					)] for i in matrix_a
						]
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:int					)							->	list[list[int]]:
						__magic_name__					:				Tuple				=   int(lowercase__					)
						return [[int(row == column					) for column in range(lowercase__					)] for row in range(lowercase__					)]
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:bool = True					)							->	list[list[int]] | map[list[int]]:
						if _check_not_integer(lowercase__					):
												if return_map:
																		return map(lowercase__   ,    zip(*lowercase__					)					)
												else:
																		return list(map(lowercase__   ,    zip(*lowercase__					)					)					)
						raise TypeError('Expected a matrix, got int/list instead'					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:int   ,    lowercase__	:int					)							->	list[list[int]]:
						__magic_name__					:				int				=   matrix[:row] + matrix[row + 1 :]
						return [row[:column] + row[column + 1 :] for row in minor]
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]					)							->	Any:
						if len(lowercase__					) == 1:
												return matrix[0][0]

						return sum(
						    x * determinant(minor(lowercase__   ,    0   ,    lowercase__					)					) * (-1) ** i
						    for i, x in enumerate(matrix[0]					)					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]					)							->	list[list[float]] | None:
						__magic_name__					:				Tuple				=   determinant(lowercase__					)
						if det == 0:
												return None

						__magic_name__					:				Optional[int]				=   [
						    [determinant(minor(lowercase__   ,    lowercase__   ,    lowercase__					)					) for j in range(len(lowercase__					)					)]
						    for i in range(len(lowercase__					)					)
						]

						__magic_name__					:				Optional[Any]				=   [
						    [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]					)]
						    for row in range(len(lowercase__					)					)
						]
						__magic_name__					:				Optional[Any]				=   list(transpose(lowercase__					)					)
						return scalar_multiply(lowercase__   ,    1 / det					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]					)							->	bool:
						return not isinstance(lowercase__   ,    lowercase__					) and not isinstance(matrix[0]   ,    lowercase__					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]					)							->	tuple[int, int]:
						return len(lowercase__					), len(matrix[0]					)
def 			__SCREAMING_SNAKE_CASE							(					lowercase__	:list[list[int]]   ,    lowercase__	:list[list[int]]					)							->	tuple[tuple[int, int], tuple[int, int]]:
						__magic_name__					:				str				=   _shape(lowercase__					) + _shape(lowercase__					)
						if shape[0] != shape[3] or shape[1] != shape[2]:
												__magic_name__					:				Optional[Any]				=   (
												    'operands could not be broadcast together with shape '
												    f"({shape[0], shape[1]}), ({shape[2], shape[3]})"
												)
												raise ValueError(lowercase__					)
						return (shape[0], shape[2]), (shape[1], shape[3])
def 			__SCREAMING_SNAKE_CASE							(					)							->	None:
						__magic_name__					:				Dict				=   [[1_2, 1_0], [3, 9]]
						__magic_name__					:				Optional[int]				=   [[3, 4], [7, 4]]
						__magic_name__					:				Optional[Any]				=   [[1_1, 1_2, 1_3, 1_4], [2_1, 2_2, 2_3, 2_4], [3_1, 3_2, 3_3, 3_4], [4_1, 4_2, 4_3, 4_4]]
						__magic_name__					:				List[str]				=   [[3, 0, 2], [2, 0, -2], [0, 1, 1]]
						print(f"Add Operation, {add(lowercase__   ,    lowercase__					) = } \n"					)
						print(
						    f"Multiply Operation, {multiply(lowercase__   ,    lowercase__					) = } \n"   ,    )
						print(f"Identity: {identity(5					)}\n"					)
						print(f"Minor of {matrix_c} = {minor(lowercase__   ,    1   ,    2					)} \n"					)
						print(f"Determinant of {matrix_b} = {determinant(lowercase__					)} \n"					)
						print(f"Inverse of {matrix_d} = {inverse(lowercase__					)}\n"					)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()


