Polyhedral Homotopy Continuation Method for solving sparse polynomial system, optimized by only tracing real zeros
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// This file is part of Bertini 2.
//
// system/precon.hpp is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
//(at your option) any later version.
//
// system/precon.hpp is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with system/precon.hpp. If not, see <http://www.gnu.org/licenses/>.
//
// Copyright(C) 2015 - 2017 by Bertini2 Development Team
//
// See <http://www.gnu.org/licenses/> for a copy of the license,
// as well as COPYING. Bertini2 is provided with permitted
// additional terms in the b2/licenses/ directory.
/**
\file system/precon.hpp
\brief Provides preconstructed systems for use around the home and office.
*/
#pragma once
#include "system/system.hpp"
namespace bertini {
namespace system {
struct Precon {
/**
Creates the Griewank-Osborn system.
From the returned system, you can unpack the variables, etc.
*/
static System GriewankOsborn();
/**
Creates system with crossed paths at t = 1/3 and t = 2/3.
From the returned system, you can unpack the variables, etc.
*/
static System CrossedPaths();
/**
\brief Constructs a system describing the 2-sphere, in variables x, y, z.
System has one affine variable group: x, y, z;
One function: x^2 + y^2 + z^2 - 1;
*/
static System Sphere();
};
} // namespace system
} // namespace bertini