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.
//
// fixed_prec_endgame.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.
//
// fixed_prec_endgame.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 fixed_prec_endgame.hpp. If not, see
// <http://www.gnu.org/licenses/>.
//
// Copyright(C) 2015 - 2021 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.
// individual authors of this file include:
// silviana amethyst, university of wisconsin eau claire
// Tim Hodges, Colorado State University
#pragma once
/**
\file fixed_prec_endgame.hpp
\brief Contains the policy for fixed precision endgame types.
*/
#include "endgames/config.hpp"
#include "endgames/prec_base.hpp"
#include "trackers/fixed_precision_tracker.hpp"
#include "trackers/fixed_precision_utilities.hpp"
namespace bertini {
namespace endgame {
template <typename TrackerT>
class FixedPrecEndgame : public virtual EndgamePrecPolicyBase<TrackerT> {
public:
using TrackerType = TrackerT;
using BaseComplexType =
typename tracking::TrackerTraits<TrackerType>::BaseComplexType;
using BaseRealType =
typename tracking::TrackerTraits<TrackerType>::BaseRealType;
using BCT = BaseComplexType;
using BRT = BaseRealType;
template <typename... T>
static unsigned EnsureAtUniformPrecision(T&... args) {
return bertini::tracking::fixed::EnsureAtUniformPrecision(args...);
}
template <typename T>
static void EnsureAtPrecision(T const& obj, unsigned prec) {
using bertini::Precision;
if (Precision(obj) != prec) {
std::stringstream err_msg;
err_msg << "ensuring precision of object failed; precision is "
<< Precision(obj) << " and required precision is " << prec;
throw std::runtime_error(err_msg.str());
}
}
SuccessCode RefineSampleImpl(Vec<BCT>& result, Vec<BCT> const& current_sample,
BCT const& current_time, double tol,
unsigned max_iterations) const {
using RT = mpfr_float;
using std::max;
auto& TR = this->GetTracker();
auto refinement_success = this->GetTracker().Refine(
result, current_sample, current_time, tol, max_iterations);
return SuccessCode::Success;
}
explicit FixedPrecEndgame(TrackerT const& new_tracker)
: EndgamePrecPolicyBase<TrackerT>(new_tracker) {}
virtual ~FixedPrecEndgame() = default;
}; // re: fixed prec endgame policy
template <>
struct EGPrecSelector<tracking::DoublePrecisionTracker> {
using type = FixedPrecEndgame<tracking::DoublePrecisionTracker>;
};
template <>
struct EGPrecSelector<tracking::MultiplePrecisionTracker> {
using type = FixedPrecEndgame<tracking::MultiplePrecisionTracker>;
};
template <class D>
struct EGPrecSelector<tracking::FixedPrecisionTracker<D>> {
using type = FixedPrecEndgame<tracking::FixedPrecisionTracker<D>>;
};
} // namespace endgame
} // namespace bertini