CGAL 6.1.3 - 3D Spherical Geometry Kernel
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AlgebraicKernelForSpheres::Solve Concept Reference

Definition

Operations

A model of this concept must provide:

template<class OutputIterator>
OutputIterator operator() (const Type1 &p1, const Type2 &p2, const Type3 &p3, OutputIterator res)
 Copies in the output iterator the common roots of p1, p2, and p3, with their multiplicity, as objects of type std::pair< AlgebraicKernelForSpheres::Root_for_spheres_2_3, int>.

Member Function Documentation

◆ operator()()

template<class OutputIterator>
OutputIterator AlgebraicKernelForSpheres::Solve::operator() ( const Type1 & p1,
const Type2 & p2,
const Type3 & p3,
OutputIterator res )

Copies in the output iterator the common roots of p1, p2, and p3, with their multiplicity, as objects of type std::pair< AlgebraicKernelForSpheres::Root_for_spheres_2_3, int>.

Here, Type1, Type2, and Type3 can all be either AlgebraicKernelForSpheres::Polynomial_1_3 or AlgebraicKernelForSpheres::Polynomial_for_spheres_2_3.

Precondition
The set of solutions of the system is 0-dimensional.

#include <Concepts/AlgebraicKernelForSpheres--Solve.h>

Definition

Operations

A model of this concept must provide:

template<class OutputIterator>
OutputIterator operator() (const Type1 &p1, const Type2 &p2, const Type3 &p3, OutputIterator res)
 Copies in the output iterator the common roots of p1, p2, and p3, with their multiplicity, as objects of type std::pair< AlgebraicKernelForSpheres::Root_for_spheres_2_3, int>.

Member Function Documentation

◆ operator()()

template<class OutputIterator>
OutputIterator AlgebraicKernelForSpheres::Solve::operator() ( const Type1 & p1,
const Type2 & p2,
const Type3 & p3,
OutputIterator res )

Copies in the output iterator the common roots of p1, p2, and p3, with their multiplicity, as objects of type std::pair< AlgebraicKernelForSpheres::Root_for_spheres_2_3, int>.

Here, Type1, Type2, and Type3 can all be either AlgebraicKernelForSpheres::Polynomial_1_3 or AlgebraicKernelForSpheres::Polynomial_for_spheres_2_3.

Precondition
The set of solutions of the system is 0-dimensional.