1 #include <CGAL/Polynomial.h>
2 #include <CGAL/Polynomial_traits_d.h>
3 #include <CGAL/Polynomial_type_generator.h>
4
main()5 int main(){
6 CGAL::IO::set_pretty_mode(std::cout);
7 typedef CGAL::Polynomial_type_generator<int,2>::Type Poly_2;
8 typedef CGAL::Polynomial_traits_d<Poly_2> PT_2;
9
10 //construction using shift
11 Poly_2 x = PT_2::Shift()(Poly_2(1),1,0); // = x^1
12 Poly_2 y = PT_2::Shift()(Poly_2(1),1,1); // = y^1
13
14 Poly_2 F // = (11*x^2 + 5*x)*y^4 + (7*x^2)*y^3
15 = 11 * CGAL::ipower(y,4) * CGAL::ipower(x,2)
16 + 5 * CGAL::ipower(y,4) * CGAL::ipower(x,1)
17 + 7 * CGAL::ipower(y,3) * CGAL::ipower(x,2);
18 std::cout << "The bivariate polynomial F: " << F <<"\n"<< std::endl;
19
20 PT_2::Get_coefficient get_coefficient;
21 std::cout << "Coefficient of y^0: "<< get_coefficient(F,0) << std::endl;
22 std::cout << "Coefficient of y^1: "<< get_coefficient(F,1) << std::endl;
23 std::cout << "Coefficient of y^2: "<< get_coefficient(F,2) << std::endl;
24 std::cout << "Coefficient of y^3: "<< get_coefficient(F,3) << std::endl;
25 std::cout << "Coefficient of y^4: "<< get_coefficient(F,4) << std::endl;
26 std::cout << "Coefficient of y^5: "<< get_coefficient(F,5) << std::endl;
27 std::cout << std::endl;
28
29 PT_2::Leading_coefficient lcoeff;
30 std::cout << "Leading coefficient with respect to y: "
31 << lcoeff(F) // = 11*x^2 + 5*x
32 << std::endl;
33
34 PT_2::Get_innermost_coefficient get_icoeff;
35 std::cout << "Innermost coefficient of monomial x^1y^4: "
36 << get_icoeff(F,CGAL::Exponent_vector(1,4)) // = 5
37 << std::endl;
38
39 PT_2::Innermost_leading_coefficient ilcoeff;
40 std::cout << "Innermost leading coefficient with respect to y: "
41 << ilcoeff(F) // = 11
42 << std::endl;
43 }
44