

import cva
import numpy as np







class  lowercase				:




				def __init__(					self      ,   snake_case      ,   snake_case       ):

											if k in (0.04, 0.06):
																		snake_case_							=    k
																		snake_case_							=    window_size
											else:
																		raise ValueError('invalid k value'       )




				def __str__(					self       ):
											return str(self.k       )




				def     a							(					self      ,   snake_case       ):
											snake_case_							=    cva.imread(snake_case      ,   0       )
											snake_case_				,    snake_case_							=    img.shape
											snake_case_							=    []
											snake_case_							=    img.copy()
											snake_case_							=    cva.cvtColor(snake_case      ,   cva.COLOR_GRAY2RGB       )
											snake_case_				,    snake_case_							=    np.gradient(snake_case       )
											snake_case_							=    dx**2
											snake_case_							=    dy**2
											snake_case_							=    dx * dy
											snake_case_							=    0.04
											snake_case_							=    self.window_size // 2
											for y in range(snake_case      ,   h - offset       ):
																		for x in range(snake_case      ,   w - offset       ):
																									snake_case_							=    ixx[
																									    y - offset : y + offset + 1, x - offset : x + offset + 1
																									].sum()
																									snake_case_							=    iyy[
																									    y - offset : y + offset + 1, x - offset : x + offset + 1
																									].sum()
																									snake_case_							=    ixy[
																									    y - offset : y + offset + 1, x - offset : x + offset + 1
																									].sum()

																									snake_case_							=    (wxx * wyy) - (wxy**2)
																									snake_case_							=    wxx + wyy
																									snake_case_							=    det - k * (trace**2)
																									# Can change the value
																									if r > 0.5:
																																corner_list.append([x, y, r]       )
																																color_img.itemset((y, x, 0)      ,   0       )
																																color_img.itemset((y, x, 1)      ,   0       )
																																color_img.itemset((y, x, 2)      ,   255       )
											return color_img, corner_list


if __name__ == "__main__":
					_UpperCAmelCase		:   Optional[Any]										=       HarrisCorner(0.04, 3)
					_UpperCAmelCase				,						_UpperCAmelCase		:   Optional[Any]										=       edge_detect.detect("""path_to_image""")
					cva.imwrite("""detect.png""", color_img)







def 					__lowerCamelCase	( ):







							'''simple docstring'''






							return [list(range(1000 - i   ,							-1000 - i   ,							-1      )      ) for i in range(1000      )]


_UpperCAmelCase		:   Union[str, Any]										=       generate_large_matrix()
_UpperCAmelCase		:   Tuple										=       (
    [[4, 3, 2, -1], [3, 2, 1, -1], [1, 1, -1, -2], [-1, -1, -2, -3]],
    [[3, 2], [1, 0]],
    [[7, 7, 6]],
    [[7, 7, 6], [-1, -2, -3]],
    grid,
)





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							assert all(row == sorted(UpperCamelCase__   ,							reverse=UpperCamelCase__      ) for row in grid      )
							assert all(list(UpperCamelCase__      ) == sorted(UpperCamelCase__   ,							reverse=UpperCamelCase__      ) for col in zip(*UpperCamelCase__      )      )





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							snake_case_							=    0
							snake_case_							=    len(UpperCamelCase__      ) - 1

							# Edge cases such as no values or all numbers are negative.
							if not array or array[0] < 0:
														return 0

							while right + 1 > left:
														snake_case_							=    (left + right) // 2
														snake_case_							=    array[mid]

														# Num must be negative and the index must be greater than or equal to 0.
														if num < 0 and array[mid - 1] >= 0:
																					return mid

														if num >= 0:
																					snake_case_							=    mid + 1
														else:
																					snake_case_							=    mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
							return len(UpperCamelCase__      )





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							snake_case_							=    0
							snake_case_							=    len(grid[0]      )

							for i in range(len(UpperCamelCase__      )      ):
														snake_case_							=    find_negative_index(grid[i][:bound]      )
														total += bound
							return (len(UpperCamelCase__      ) * len(grid[0]      )) - total





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							return len([number for row in grid for number in row if number < 0]      )





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							snake_case_							=    0
							for row in grid:
														for i, number in enumerate(UpperCamelCase__      ):
																					if number < 0:
																												total += len(UpperCamelCase__      ) - i
																												break
							return total





def 					__lowerCamelCase	( ):







							'''simple docstring'''






							from timeit import timeit

							print('Running benchmarks'      )
							snake_case_							=    (
							    'from __main__ import count_negatives_binary_search, '
							    'count_negatives_brute_force, count_negatives_brute_force_with_break, grid'
							)
							for func in (
							    "count_negatives_binary_search",  # took 0.7727 seconds
							    "count_negatives_brute_force_with_break",  # took 4.6505 seconds
							    "count_negatives_brute_force",  # took 12.8160 seconds
							):
														snake_case_							=    timeit(F'''{func}(grid=grid)'''   ,							setup=UpperCamelCase__   ,							number=500      )
														print(F'''{func}() took {time:0.4f} seconds'''      )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					benchmark()




