


'''simple docstring'''

def _SCREAMING_SNAKE_CASE				(A	):






       """simple docstring"""







       if len(__UpperCamelCase	) == 0 or not all(len(__UpperCamelCase	) == 2 for pair in coordinates	):
              raise ValueError('''The program cannot work out a fitting polynomial.'''	)

       if len({tuple(__UpperCamelCase	) for pair in coordinates}	) != len(__UpperCamelCase	):
              raise ValueError('''The program cannot work out a fitting polynomial.'''	)

       lowercase__				      =			{x for x, _ in coordinates}
       if len(__UpperCamelCase	) == 1:
              return f"x={coordinates[0][0]}"

       if len(__UpperCamelCase	) != len(__UpperCamelCase	):
              raise ValueError('''The program cannot work out a fitting polynomial.'''	)

       lowercase__				      =			len(__UpperCamelCase	)

       lowercase__				      =			0
       lowercase__				      =			[]
       # put the x and x to the power values in a matrix
       while count_of_line < x:
              lowercase__				      =			0
              lowercase__				      =			coordinates[count_of_line][0]
              lowercase__				      =			[]
              while count_in_line < x:
                     count_line.append(a ** (x - (count_in_line + 1))	)
                     count_in_line += 1
              matrix.append(__UpperCamelCase	)
              count_of_line += 1

       lowercase__				      =			0
       # put the y values into a vector
       lowercase__				      =			[]
       while count_of_line < x:
              vector.append(coordinates[count_of_line][1]	)
              count_of_line += 1

       lowercase__				      =			0

       while count < x:
              lowercase__				      =			0
              while zahlen < x:
                     if count == zahlen:
                            zahlen += 1
                     if zahlen == x:
                            break
                     lowercase__				      =			matrix[zahlen][count] / matrix[count][count]
                     for counting_columns, item in enumerate(matrix[count]	):
                            # manipulating all the values in the matrix
                            matrix[zahlen][counting_columns] -= item * bruch
                     # manipulating the values in the vector
                     vector[zahlen] -= vector[count] * bruch
                     zahlen += 1
              count += 1

       lowercase__				      =			0
       # make solutions
       lowercase__				      =			[]
       while count < x:
              solution.append(str(vector[count] / matrix[count][count]	)	)
              count += 1

       lowercase__				      =			0
       lowercase__				      =			'''f(x)='''

       while count < x:
              lowercase__				      =			solution[count].split('''E'''	)
              if len(__UpperCamelCase	) > 1:
                     lowercase__				      =			f"{remove_e[0]}*10^{remove_e[1]}"
              solved += f"x^{x - (count + 1)}*{solution[count]}"
              if count + 1 != x:
                     solved += "+"
              count += 1

       return solved


if __name__ == "__main__":
 print(points_to_polynomial([]))
 print(points_to_polynomial([[]]))
 print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
 print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
 print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
 print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
 print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
 print(points_to_polynomial([[1, 3], [2, 6], [3, 11]]))
 print(points_to_polynomial([[1, -3], [2, -6], [3, -11]]))
 print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))








'''simple docstring'''

import math
import os

import cva
import numpy as np

lowerCamelCase							:       Optional[Any]  						=     2_5_5.0

def _SCREAMING_SNAKE_CASE				(A  ,			A	)	->	float:






       """simple docstring"""







       lowercase__				      =			np.mean((original - contrast) ** 2	)
       if mse == 0:
              return 100

       return 20 * math.logaa(PIXEL_MAX / math.sqrt(A	)	)

def _SCREAMING_SNAKE_CASE				()	->	None:






       """simple docstring"""







       lowercase__				      =			os.path.dirname(os.path.realpath(A	)	)
       # Loading images (original image and compressed image)
       lowercase__				      =			cva.imread(os.path.join(A  ,			'''image_data/original_image.png'''	)	)
       lowercase__				      =			cva.imread(os.path.join(A  ,			'''image_data/compressed_image.png'''	)  ,			1	)

       lowercase__				      =			cva.imread(os.path.join(A  ,			'''image_data/PSNR-example-base.png'''	)	)
       lowercase__				      =			cva.imread(
           os.path.join(A  ,			'''image_data/PSNR-example-comp-10.jpg'''	)  ,			1	)

       # Value expected: 29.73dB
       print('''-- First Test --'''	)
       print(f"PSNR value is {peak_signal_to_noise_ratio(A  ,			A	)} dB"	)

       # # Value expected: 31.53dB (Wikipedia Example)
       print('''\n-- Second Test --'''	)
       print(f"PSNR value is {peak_signal_to_noise_ratio(A  ,			A	)} dB"	)


if __name__ == "__main__":
 main()




