



import numpy as np
from cva import COLOR_BGR2GRAY, CV_8UC3, cvtColor, filteraD, imread, imshow, waitKey


def 			UpperCamelCase(  __UpperCamelCase							:		List[str]     ,__UpperCamelCase							:		List[Any]     ,__UpperCamelCase							:		Union[str, Any]     ,__UpperCamelCase							:		Dict     ,__UpperCamelCase							:		str     ,__UpperCamelCase							:		Tuple ):

		# prepare kernel
		# the kernel size have to be odd
		if (ksize % 2) == 0:
				lowerCAmelCase_			:     str									= ksize + 1
		lowerCAmelCase_			:     List[str]									= np.zeros((ksize, ksize)     ,dtype=np.floataa )

		# each value
		for y in range(__lowerCAmelCase ):
				for x in range(__lowerCAmelCase ):
						# distance from center
						lowerCAmelCase_			:     Any									= x - ksize // 2
						lowerCAmelCase_			:     Optional[int]									= y - ksize // 2

						# degree to radiant
						lowerCAmelCase_			:     str									= theta / 180 * np.pi
						lowerCAmelCase_			:     List[Any]									= np.cos(_theta )
						lowerCAmelCase_			:     int									= np.sin(_theta )

						# get kernel x
						lowerCAmelCase_			:     str									= cos_theta * px + sin_theta * py

						# get kernel y
						lowerCAmelCase_			:     str									= -sin_theta * px + cos_theta * py

						# fill kernel
						lowerCAmelCase_			:     Tuple									= np.exp(
						    -(_x**2 + gamma**2 * _y**2) / (2 * sigma**2) ) * np.cos(2 * np.pi * _x / lambd + psi )

		return gabor


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						# read original image
						A__  :  int								=					imread('''../image_data/lena.jpg''')
						# turn image in gray scale value
						A__  :  Tuple								=					cvtColor(img, COLOR_BGR2GRAY)

						# Apply multiple Kernel to detect edges
						A__  :  int								=					np.zeros(gray.shape[:2])
						for theta in [0, 30, 60, 90, 120, 150]:
												A__  :  Union[str, Any]								=					gabor_filter_kernel(10, 8, theta, 10, 0, 0)
												out += filteraD(gray, CV_8UC3, kernel_aa)
						A__  :  Dict								=					out / out.max() * 255
						A__  :  Tuple								=					out.astype(np.uinta)

						imshow('''Original''', gray)
						imshow('''Gabor filter with 20x20 mask and 6 directions''', out)

						waitKey(0)









'''simple docstring'''


def        __lowerCAmelCase       ():
		return [list(range(1_000 - i					,       -1_000 - i					,       -1      )      ) for i in range(1_000      )]


lowerCamelCase__					=   generate_large_matrix()
lowerCamelCase__					=   (
    [[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       (__lowerCAmelCase      ):
		assert all(row == sorted(__lowerCAmelCase					,       reverse=__lowerCAmelCase      ) for row in grid      )
		assert all(list(__lowerCAmelCase      ) == sorted(__lowerCAmelCase					,       reverse=__lowerCAmelCase      ) for col in zip(*__lowerCAmelCase      )      )






def        __lowerCAmelCase       (__lowerCAmelCase      ):
		_UpperCAmelCase						:				Any	    =					0
		_UpperCAmelCase						:				str	    =					len(__lowerCAmelCase      ) - 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:
				_UpperCAmelCase						:				Union[str, Any]	    =					(left + right) // 2
				_UpperCAmelCase						:				List[str]	    =					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:
						_UpperCAmelCase						:				Tuple	    =					mid + 1
				else:
						_UpperCAmelCase						:				Optional[Any]	    =					mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
		return len(__lowerCAmelCase      )






def        __lowerCAmelCase       (__lowerCAmelCase      ):
		_UpperCAmelCase						:				str	    =					0
		_UpperCAmelCase						:				int	    =					len(grid[0]      )

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






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






def        __lowerCAmelCase       (__lowerCAmelCase      ):
		_UpperCAmelCase						:				Tuple	    =					0
		for row in grid:
				for i, number in enumerate(__lowerCAmelCase      ):
						if number < 0:
								total += len(__lowerCAmelCase      ) - i
								break
		return total






def        __lowerCAmelCase       ():
		from timeit import timeit

		print("Running benchmarks"      )
		_UpperCAmelCase						:				Tuple	    =					(
		    "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
		):
				_UpperCAmelCase						:				str	    =					timeit(F"""{func}(grid=grid)"""					,       setup=__lowerCAmelCase					,       number=500      )
				print(F"""{func}() took {time:0.4f} seconds"""      )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						benchmark()



