CGAL 5.4.4  Algebraic Kernel

Computes for a given pair of bivariate polynomials \( p_1\), \( p_2\) their common part \( g\) and coprime parts \( q_1\), \( q_2\) respectively.
That is, it computes \( g, q_1, q_2\) such that:
\( c_1 \cdot p_1 = g \cdot q_1\) for some constant \( c_1\) and
\( c_2 \cdot p_2 = g \cdot q_2\) for some constant \( c_2\), such that \( q_1\) and \( q_2\) are coprime.
AdaptableFunctor
with five argumentsAlgebraicKernel_d_2::IsCoprime_2
Types  
typedef bool  result_type 
Operations  
result_type  operator() (const AlgebraicKernel_d_2::Polynomial_2 &p1, const AlgebraicKernel_d_2::Polynomial_2 &p2, AlgebraicKernel_d_2::Polynomial_2 &g, AlgebraicKernel_d_2::Polynomial_2 &q1, AlgebraicKernel_d_2::Polynomial_2 &q2) 
Computes \( g, q_1, q_2\) as described above. More...  
result_type AlgebraicKernel_d_2::MakeCoprime_2::operator()  (  const AlgebraicKernel_d_2::Polynomial_2 &  p1, 
const AlgebraicKernel_d_2::Polynomial_2 &  p2,  
AlgebraicKernel_d_2::Polynomial_2 &  g,  
AlgebraicKernel_d_2::Polynomial_2 &  q1,  
AlgebraicKernel_d_2::Polynomial_2 &  q2  
) 
Computes \( g, q_1, q_2\) as described above.
Returns whether \( p_1\) and \( p_2\) where already coprime.