Please attach code as .m files when relevant.

Consider cubic spline for the data (x0, y0) = (0, 0), (x1, y1) = (1, 1), (x2, y2) = (2, 0), (x3, y3) = (3, 1), (x4, y4) = (4, 0), with periodic run-out boundary conditions y0 = y3 ; y1 = y4 . Solve for y1 , y2 , y3 , then determine the piece- wise cubic function in each segment.