CGAL 4.7 - 3D Spherical Geometry Kernel: AlgebraicKernelForSpheres::Solve Concept Reference

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Spherical Geometry Kernel

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AlgebraicKernelForSpheres::Solve Concept Reference
Algebraic Concepts

## 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>`. More...

## Member Function Documentation

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.