



from __future__ import annotations

from scipy.special import comb  # type: ignore





class  lowerCamelCase__	:
     """simple docstring"""



     def __init__(self					,      __a     ):






           '''simple docstring'''



           lowerCamelCase             =		list_of_points
           # Degree determines the flexibility of the curve.
           # Degree = 1 will produce a straight line.
           lowerCamelCase             =		len(__a     ) - 1







     def     _a   (self					,      __a     ):






           '''simple docstring'''



           assert 0 <= t <= 1, "Time t must be between 0 and 1."
           lowerCamelCase             =		[]
           for i in range(len(self.list_of_points     )     ):
                 # basis function for each i
                 output_values.append(
                     comb(self.degree					,      __a     ) * ((1 - t) ** (self.degree - i)) * (t**i)     )
           # the basis must sum up to 1 for it to produce a valid Bezier curve.
           assert round(sum(__a     )					,      5     ) == 1
           return output_values







     def     _a   (self					,      __a     ):






           '''simple docstring'''



           assert 0 <= t <= 1, "Time t must be between 0 and 1."

           lowerCamelCase             =		self.basis_function(__a     )
           lowerCamelCase             =		0.0
           lowerCamelCase             =		0.0
           for i in range(len(self.list_of_points     )     ):
                 # For all points, sum up the product of i-th basis function and i-th point.
                 x += basis_function[i] * self.list_of_points[i][0]
                 y += basis_function[i] * self.list_of_points[i][1]
           return (x, y)







     def     _a   (self					,      __a = 0.01     ):






           '''simple docstring'''



           from matplotlib import pyplot as plt  # type: ignore

           lowerCamelCase             =		[]  # x coordinates of points to plot
           lowerCamelCase             =		[]  # y coordinates of points to plot

           lowerCamelCase             =		0.0
           while t <= 1:
                 lowerCamelCase             =		self.bezier_curve_function(__a     )
                 to_plot_x.append(value[0]     )
                 to_plot_y.append(value[1]     )
                 t += step_size

           lowerCamelCase             =		[i[0] for i in self.list_of_points]
           lowerCamelCase             =		[i[1] for i in self.list_of_points]

           plt.plot(
               __a					,      __a					,      color="blue"					,      label="Curve of Degree " + str(self.degree     )					,      )
           plt.scatter(__a					,      __a					,      color="red"					,      label="Control Points"     )
           plt.legend()
           plt.show()


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
     BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
     BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3




import socket

def      __lowercase(						):


      """simple docstring"""



      lowerCamelCase             =		socket.socket(socket.AF_INET , socket.SOCK_STREAM			)
      lowerCamelCase             =		socket.gethostname()
      lowerCamelCase             =		12312

      sock.connect((host, port)			)
      sock.send(B"Hello server!"			)

      with open("Received_file" , "wb"			) as out_file:
            print("File opened"			)
            print("Receiving data..."			)
            while True:
                  lowerCamelCase             =		sock.recv(1024			)
                  if not data:
                        break
                  out_file.write(UpperCAmelCase__			)

      print("Successfully received the file"			)
      sock.close()
      print("Connection closed"			)


if __name__ == "__main__":
     main()