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#include <unsupported/Eigen/Polynomials>
#include <iostream>
using namespace Eigen;
using namespace std;
int main()
{
Vector4d roots = Vector4d::Random();
cout << "Roots: " << roots.transpose() << endl;
Eigen::Matrix<double,5,1> polynomial;
roots_to_monicPolynomial( roots, polynomial );
cout << "Polynomial: ";
for( int i=0; i<4; ++i ){ cout << polynomial[i] << ".x^" << i << "+ "; }
cout << polynomial[4] << ".x^4" << endl;
Vector4d evaluation;
for( int i=0; i<4; ++i ){
evaluation[i] = poly_eval( polynomial, roots[i] ); }
cout << "Evaluation of the polynomial at the roots: " << evaluation.transpose();
}
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