double intrpf( double xi, double x[], double y[]) { // Function to interpolate between data points // using Lagrange polynomial (quadratic) // Inputs // xi The x value where interpolation is computed // x Vector of x coordinates of data points (3 values) // y Vector of y coordinates of data points (3 values) // Output // yi The interpolation polynomial evaluated at xi //* Calculate yi = p(xi) using Lagrange polynomial double yi = (xi-x[2])*(xi-x[3])/((x[1]-x[2])*(x[1]-x[3]))*y[1] + (xi-x[1])*(xi-x[3])/((x[2]-x[1])*(x[2]-x[3]))*y[2] + (xi-x[1])*(xi-x[2])/((x[3]-x[1])*(x[3]-x[2]))*y[3]; return (yi); };