CGAL 5.1.2 - Algebraic Kernel
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Computes for a given pair of univariate polynomials \( p_1\), \( p_2\) their common part \( g\) up to a constant factor 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.
It returns true if \( p_1\) and \( p_2\) are already coprime.
AdaptableFunctor
with five argumentsAlgebraicKernel_d_1::IsCoprime_1
Types | |
typedef bool | result_type |
Operations | |
result_type | operator() (const AlgebraicKernel_d_1::Polynomial_1 &p1, const AlgebraicKernel_d_1::Polynomial_1 &p2, AlgebraicKernel_d_1::Polynomial_1 &g, AlgebraicKernel_d_1::Polynomial_1 &q1, AlgebraicKernel_d_1::Polynomial_1 &q2) |
Computes \( g, q_1, q_2\) as described above. More... | |
result_type AlgebraicKernel_d_1::MakeCoprime_1::operator() | ( | const AlgebraicKernel_d_1::Polynomial_1 & | p1, |
const AlgebraicKernel_d_1::Polynomial_1 & | p2, | ||
AlgebraicKernel_d_1::Polynomial_1 & | g, | ||
AlgebraicKernel_d_1::Polynomial_1 & | q1, | ||
AlgebraicKernel_d_1::Polynomial_1 & | q2 | ||
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Computes \( g, q_1, q_2\) as described above.
Returns whether \( p_1\) and \( p_2\) where already coprime.