intrpf.cpp

c++的数学物理方程数值算法源程序。这是"Numerical Methods for Physics"第二版的源程序。

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);
};