






import numpy as np
from cva import COLOR_BGR2GRAY, cvtColor, imread
from numpy import array, uinta
from PIL import Image

from digital_image_processing import change_contrast as cc
from digital_image_processing import convert_to_negative as cn
from digital_image_processing import sepia as sp
from digital_image_processing.dithering import burkes as bs
from digital_image_processing.edge_detection import canny
from digital_image_processing.filters import convolve as conv
from digital_image_processing.filters import gaussian_filter as gg
from digital_image_processing.filters import local_binary_pattern as lbp
from digital_image_processing.filters import median_filter as med
from digital_image_processing.filters import sobel_filter as sob
from digital_image_processing.resize import resize as rs

lowerCamelCase	:							List[Any]				=imread(R'''digital_image_processing/image_data/lena_small.jpg''')
lowerCamelCase	:							List[Any]				=cvtColor(img, COLOR_BGR2GRAY)







def 		SCREAMING_SNAKE_CASE							(					) ->	int:
     UpperCamelCase__			:   List[Any]       				=  cn.convert_to_negative(__a			)
     # assert negative_img array for at least one True
     assert negative_img.any()







def 		SCREAMING_SNAKE_CASE							(					) ->	Optional[Any]:






     with Image.open("digital_image_processing/image_data/lena_small.jpg"			) as img:
          # Work around assertion for response
          assert str(cc.change_contrast(__a					,    110			)			).startswith(
              "<PIL.Image.Image image mode=RGB size=100x100 at"			)







def 		SCREAMING_SNAKE_CASE							(					) ->	Optional[Any]:
     UpperCamelCase__			:   List[Any]       				=  canny.gen_gaussian_kernel(9					,    sigma=1.4			)
     # Assert ambiguous array
     assert resp.all()







def 		SCREAMING_SNAKE_CASE							(					) ->	Dict:
     UpperCamelCase__			:   int       				=  imread("digital_image_processing/image_data/lena_small.jpg"					,    0			)
     # assert ambiguous array for all == True
     assert canny_img.all()
     UpperCamelCase__			:   Optional[Any]       				=  canny.canny(__a			)
     # assert canny array for at least one True
     assert canny_array.any()







def 		SCREAMING_SNAKE_CASE							(					) ->	Optional[Any]:
     assert gg.gaussian_filter(__a					,    5					,    sigma=0.9			).all()







def 		SCREAMING_SNAKE_CASE							(					) ->	Any:
     UpperCamelCase__			:   Optional[int]       				=  array([[0.2_5, 0.5, 0.2_5], [0.5, -3, 0.5], [0.2_5, 0.5, 0.2_5]]			)
     UpperCamelCase__			:   Dict       				=  conv.img_convolve(__a					,    __a			).astype(__a			)
     assert res.any()







def 		SCREAMING_SNAKE_CASE							(					) ->	Union[str, Any]:
     assert med.median_filter(__a					,    3			).any()







def 		SCREAMING_SNAKE_CASE							(					) ->	List[Any]:
     UpperCamelCase__			:   Dict       				=  sob.sobel_filter(__a			)
     assert grad.any() and theta.any()







def 		SCREAMING_SNAKE_CASE							(					) ->	Optional[Any]:
     UpperCamelCase__			:   str       				=  sp.make_sepia(__a					,    20			)
     assert sepia.all()







def 		SCREAMING_SNAKE_CASE							(					__lowerCAmelCase = "digital_image_processing/image_data/lena_small.jpg"			) ->	List[str]:
     UpperCamelCase__			:   List[Any]       				=  bs.Burkes(imread(__a					,    1			)					,    120			)
     burkes.process()
     assert burkes.output_img.any()







def 		SCREAMING_SNAKE_CASE							(					__lowerCAmelCase = "digital_image_processing/image_data/lena_small.jpg"					,    ) ->	List[Any]:
     UpperCamelCase__			:   int       				=  rs.NearestNeighbour(imread(__a					,    1			)					,    400					,    200			)
     nn.process()
     assert nn.output.any()







def 		SCREAMING_SNAKE_CASE							(					) ->	Optional[int]:
     UpperCamelCase__			:   Dict       				=  '''digital_image_processing/image_data/lena.jpg'''

     # Reading the image and converting it to grayscale.
     UpperCamelCase__			:   str       				=  imread(__a					,    0			)

     # Test for get_neighbors_pixel function() return not None
     UpperCamelCase__			:   Optional[int]       				=  0
     UpperCamelCase__			:   str       				=  0
     UpperCamelCase__			:   Tuple       				=  image[x_coordinate][y_coordinate]

     UpperCamelCase__			:   int       				=  lbp.get_neighbors_pixel(
         __a					,    __a					,    __a					,    __a			)

     assert neighbors_pixels is not None

     # Test for local_binary_pattern function()
     # Create a numpy array as the same height and width of read image
     UpperCamelCase__			:   str       				=  np.zeros((image.shape[0], image.shape[1])			)

     # Iterating through the image and calculating the local binary pattern value
     # for each pixel.
     for i in range(0					,    image.shape[0]			):
          for j in range(0					,    image.shape[1]			):
               UpperCamelCase__			:   List[Any]       				=  lbp.local_binary_value(__a					,    __a					,    __a			)

     assert lbp_image.any()



'''simple docstring'''
def 			a      (			__a   )  ->	"list[int]":



					'''simple docstring'''






					if upper_limit < 0:
										raise ValueError('''Limit for the Catalan sequence must be ≥ 0'''   )

					UpperCamelCase__   :Optional[Any]												= [0] * (upper_limit + 1)

					# Base case: C(0) = C(1) = 1
					UpperCamelCase__   :int												= 1
					if upper_limit > 0:
										UpperCamelCase__   :int												= 1

					# Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
					for i in range(2 ,					upper_limit + 1   ):
										for j in range(__a   ):
															catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

					return catalan_list


if __name__ == "__main__":
		print('''\n********* Catalan Numbers Using Dynamic Programming ************\n''')
		print('''\n*** Enter -1 at any time to quit ***''')
		print('''\nEnter the upper limit (≥ 0) for the Catalan number sequence: ''', end='''''')
		try:
				while True:
						__snake_case							      =     int(input().strip())
						if N < 0:
								print('''\n********* Goodbye!! ************''')
								break
						else:
								print(F"""The Catalan numbers from 0 through {N} are:""")
								print(catalan_numbers(N))
								print('''Try another upper limit for the sequence: ''', end='''''')
		except (NameError, ValueError):
				print('''\n********* Invalid input, goodbye! ************\n''')

		import doctest

		doctest.testmod()