AlgebraicKernel_d_1::MakeCoprime_1 Concept Reference

Definition

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.

Refines

AdaptableQuinaryFunction

See also

AlgebraicKernel_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...

Member Function Documentation

operator()()

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
	)

Computes \( g, q_1, q_2\) as described above.

Returns whether \( p_1\) and \( p_2\) where already coprime.