






'''simple docstring'''





import copy
import os

import cva
import numpy as np
from matplotlib import pyplot as plt
class  lowerCAmelCase_       :




							def __init__(   self     :   Any	):
											lowerCAmelCase__      			=						''''''
											lowerCAmelCase__      			=						''''''
											lowerCAmelCase__      			=						[]
											lowerCAmelCase__      			=						0
											lowerCAmelCase__      			=						256
											lowerCAmelCase__      			=						0
											lowerCAmelCase__      			=						0
											lowerCAmelCase__      			=						0
											lowerCAmelCase__      			=						0




							def 						__snake_case					(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   Tuple	):
											lowerCAmelCase__      			=						cva.imread(A_ ,							0	)
											lowerCAmelCase__      			=						copy.deepcopy(self.img	)
											lowerCAmelCase__			,		lowerCAmelCase__			,		lowerCAmelCase__      			=						plt.hist(self.img.ravel() ,							256 ,							[0, 256] ,							label='''x'''	)
											lowerCAmelCase__      			=						np.sum(A_	)
											for i in range(len(A_	)	):
															lowerCAmelCase__      			=						x[i] / self.k
															self.sk += prk
															lowerCAmelCase__      			=						(self.L - 1) * self.sk
															if self.rem != 0:
																			lowerCAmelCase__      			=						int(last % last	)
															lowerCAmelCase__      			=						int(last + 1 if self.rem >= 0.5 else last	)
															self.last_list.append(A_	)
															lowerCAmelCase__      			=						int(np.ma.count(self.img	) / self.img[1].size	)
															lowerCAmelCase__      			=						self.img[1].size
											for i in range(self.number_of_cols	):
															for j in range(self.number_of_rows	):
																			lowerCAmelCase__      			=						self.img[j][i]
																			if num != self.last_list[num]:
																							lowerCAmelCase__      			=						self.last_list[num]
											cva.imwrite('''output_data/output.jpg''' ,							self.img	)




							def 						__snake_case					(   self     :   Dict	):
											plt.hist(self.img.ravel() ,							256 ,							[0, 256]	)




							def 						__snake_case					(   self     :   Dict	):
											cva.imshow('''Output-Image''' ,							self.img	)
											cva.imshow('''Input-Image''' ,							self.original_image	)
											cva.waitKey(5_000	)
											cva.destroyAllWindows()


if __name__ == "__main__":
			_UpperCAmelCase			:		Any   				=    os.path.join(os.path.basename(__file__), "image_data/input.jpg")
			_UpperCAmelCase			:		Optional[int]   				=    ConstantStretch()
			stretcher.stretch(file_path)
			stretcher.plot_histogram()
			stretcher.show_image()













from math import isclose, sqrt





def 	lowerCAmelCase_		(lowercase__						:       float     ,					lowercase__						:       float     ,					lowercase__						:       float       )		->    tuple[float, float, float]:


				'''simple docstring'''




				lowerCAmelCase__      			=						point_y / 4 / point_x
				lowerCAmelCase__      			=						2 * normal_gradient / (1 + normal_gradient * normal_gradient)
				lowerCAmelCase__      			=						(1 - normal_gradient * normal_gradient) / (
				    1 + normal_gradient * normal_gradient
				)
				lowerCAmelCase__      			=						(sa - ca * incoming_gradient) / (ca + sa * incoming_gradient)

				# to find the next point, solve the simultaeneous equations:
				# y^2 + 4x^2 = 100
				# y - b = m * (x - a)
				# ==> A x^2 + B x + C = 0
				lowerCAmelCase__      			=						outgoing_gradient**2 + 4
				lowerCAmelCase__      			=						2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
				lowerCAmelCase__      			=						(point_y - outgoing_gradient * point_x) ** 2 - 1_00

				lowerCAmelCase__      			=						(
				    -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term       )
				) / (2 * quadratic_term)
				lowerCAmelCase__      			=						(
				    -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term       )
				) / (2 * quadratic_term)

				# two solutions, one of which is our input point
				lowerCAmelCase__      			=						x_minus if isclose(lowercase__     ,					lowercase__       ) else x_plus
				lowerCAmelCase__      			=						point_y + outgoing_gradient * (next_x - point_x)

				return next_x, next_y, outgoing_gradient





def 	lowerCAmelCase_		(lowercase__						:       float = 1.4     ,					lowercase__						:       float = -9.6       )		->    int:


				'''simple docstring'''




				lowerCAmelCase__      			=						0
				lowerCAmelCase__      			=						first_x_coord
				lowerCAmelCase__      			=						first_y_coord
				lowerCAmelCase__      			=						(10.1 - point_y) / (0.0 - point_x)

				while not (-0.01 <= point_x <= 0.01 and point_y > 0):
								lowerCAmelCase__			,		lowerCAmelCase__			,		lowerCAmelCase__      			=						next_point(lowercase__     ,					lowercase__     ,					lowercase__       )
								num_reflections += 1

				return num_reflections


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





