#include <CGAL/config.h>
#include <iostream>
#ifdef CGAL_USE_GMP
#include <CGAL/Polynomial.h>
template< typename Polynomial >
bool may_have_common_factor(
std::cout<< "The type is modularizable" << std::endl;
typedef typename MT::Residue_type MPolynomial;
typedef typename MT::Modular_image Modular_image;
MPolynomial mp1 = Modular_image()(p1);
MPolynomial mp2 = Modular_image()(p2);
if (
degree(p1) != mdegree(mp1))
return true;
if (
degree(p2) != mdegree(mp2))
return true;
if ( mdegree(mg) > 0 ){
std::cout << "The gcd may be non trivial" << std::endl;
return true;
}else{
std::cout << "The gcd is trivial" << std::endl;
return false;
}
}
template< typename Polynomial >
bool may_have_common_factor(
std::cout<< "The type is not modularizable" << std::endl;
return true;
}
template< typename Polynomial >
Polynomial modular_filtered_gcd(const Polynomial& p1, const Polynomial& p2){
typedef typename MT::Is_modularizable Is_modularizable;
if (may_have_common_factor(p1,p2, Is_modularizable())){
}else{
return construct(
CGAL::gcd(content(p1),content(p2)));
}
}
int main(){
Poly f1=construct(NT(2), NT(6), NT(4));
Poly f2=construct(NT(12), NT(4), NT(8));
Poly f3=construct(NT(3), NT(4));
std::cout << "f1 : " << f1 << std::endl;
std::cout << "f2 : " << f2 << std::endl;
std::cout << "compute modular filtered gcd(f1,f2): " << std::endl;
Poly g1 = modular_filtered_gcd(f1,f2);
std::cout << "gcd(f1,f2): " << g1 << std::endl;
std::cout << std::endl;
Poly p1 = f1*f3;
Poly p2 = f2*f3;
std::cout << "f3 : " << f3 << std::endl;
std::cout << "p1=f1*f3 : " << p1 << std::endl;
std::cout << "p2=f2*f3 : " << p2 << std::endl;
std::cout << "compute modular filtered gcd(p1,p2): " << std::endl;
Poly g2 = modular_filtered_gcd(p1,p2);
std::cout << "gcd(p1,p2): " << g2 << std::endl;
}
#else
int main (){
std::cout << " This example needs GMP! " << std::endl;
}
#endif