mirror of https://github.com/CGAL/cgal
44 lines
1.7 KiB
C++
44 lines
1.7 KiB
C++
#include <CGAL/Polynomial.h>
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#include <CGAL/Polynomial_traits_d.h>
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#include <CGAL/Polynomial_type_generator.h>
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int main(){
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CGAL::IO::set_pretty_mode(std::cout);
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typedef CGAL::Polynomial_type_generator<int,2>::Type Poly_2;
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typedef CGAL::Polynomial_traits_d<Poly_2> PT_2;
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//construction using shift
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Poly_2 x = PT_2::Shift()(Poly_2(1),1,0); // = x^1
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Poly_2 y = PT_2::Shift()(Poly_2(1),1,1); // = y^1
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Poly_2 F // = (11*x^2 + 5*x)*y^4 + (7*x^2)*y^3
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= 11 * CGAL::ipower(y,4) * CGAL::ipower(x,2)
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+ 5 * CGAL::ipower(y,4) * CGAL::ipower(x,1)
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+ 7 * CGAL::ipower(y,3) * CGAL::ipower(x,2);
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std::cout << "The bivariate polynomial F: " << F <<"\n"<< std::endl;
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PT_2::Get_coefficient get_coefficient;
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std::cout << "Coefficient of y^0: "<< get_coefficient(F,0) << std::endl;
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std::cout << "Coefficient of y^1: "<< get_coefficient(F,1) << std::endl;
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std::cout << "Coefficient of y^2: "<< get_coefficient(F,2) << std::endl;
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std::cout << "Coefficient of y^3: "<< get_coefficient(F,3) << std::endl;
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std::cout << "Coefficient of y^4: "<< get_coefficient(F,4) << std::endl;
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std::cout << "Coefficient of y^5: "<< get_coefficient(F,5) << std::endl;
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std::cout << std::endl;
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PT_2::Leading_coefficient lcoeff;
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std::cout << "Leading coefficient with respect to y: "
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<< lcoeff(F) // = 11*x^2 + 5*x
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<< std::endl;
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PT_2::Get_innermost_coefficient get_icoeff;
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std::cout << "Innermost coefficient of monomial x^1y^4: "
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<< get_icoeff(F,CGAL::Exponent_vector(1,4)) // = 5
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<< std::endl;
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PT_2::Innermost_leading_coefficient ilcoeff;
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std::cout << "Innermost leading coefficient with respect to y: "
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<< ilcoeff(F) // = 11
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<< std::endl;
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}
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