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solver_cg_eigen.hh
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/**
* @file solver_cg_eigen.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 19 Jan 2018
*
* @brief binding to Eigen's conjugate gradient solver
*
* Copyright © 2018 Till Junge
*
* µSpectre 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, or (at
* your option) any later version.
*
* µSpectre 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 GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#ifndef SOLVER_EIGEN_H
#define SOLVER_EIGEN_H
#include "solver/solver_base.hh"
#include <Eigen/IterativeLinearSolvers>
#include <unsupported/Eigen/IterativeSolvers>
#include <type_traits>
namespace muSpectre {
template <class SolverType, Dim_t DimS, Dim_t DimM>
class SolverEigen;
template <Dim_t DimS, Dim_t DimM=DimS>
class SolverCGEigen;
template <Dim_t DimS, Dim_t DimM=DimS>
class SolverGMRESEigen;
template <Dim_t DimS, Dim_t DimM=DimS>
class SolverBiCGSTABEigen;
template <Dim_t DimS, Dim_t DimM=DimS>
class SolverDGMRESEigen;
template <Dim_t DimS, Dim_t DimM=DimS>
class SolverMINRESEigen;
namespace internal {
template <class Solver>
struct Solver_traits {
};
//! traits for the Eigen conjugate gradient solver
template <Dim_t DimS, Dim_t DimM>
struct Solver_traits<SolverCGEigen<DimS, DimM>> {
//! Eigen Iterative Solver
using Solver =
Eigen::ConjugateGradient<typename SolverEigen<SolverCGEigen<DimS, DimM>,
DimS, DimM>::Adaptor,
Eigen::Lower|Eigen::Upper,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen GMRES solver
template <Dim_t DimS, Dim_t DimM>
struct Solver_traits<SolverGMRESEigen<DimS, DimM>> {
//! Eigen Iterative Solver
using Solver =
Eigen::GMRES<typename SolverEigen<SolverGMRESEigen<DimS, DimM>,
DimS, DimM>::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen BiCGSTAB solver
template <Dim_t DimS, Dim_t DimM>
struct Solver_traits<SolverBiCGSTABEigen<DimS, DimM>> {
//! Eigen Iterative Solver
using Solver =
Eigen::BiCGSTAB<typename SolverEigen<SolverBiCGSTABEigen<DimS, DimM>,
DimS, DimM>::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen DGMRES solver
template <Dim_t DimS, Dim_t DimM>
struct Solver_traits<SolverDGMRESEigen<DimS, DimM>> {
//! Eigen Iterative Solver
using Solver =
Eigen::DGMRES<typename SolverEigen<SolverDGMRESEigen<DimS, DimM>,
DimS, DimM>::Adaptor,
Eigen::IdentityPreconditioner>;
};
//! traits for the Eigen MINRES solver
template <Dim_t DimS, Dim_t DimM>
struct Solver_traits<SolverMINRESEigen<DimS, DimM>> {
//! Eigen Iterative Solver
using Solver =
Eigen::MINRES<typename SolverEigen<SolverMINRESEigen<DimS, DimM>,
DimS, DimM>::Adaptor,
Eigen::Lower|Eigen::Upper,
Eigen::IdentityPreconditioner>;
};
} // internal
/**
* base class for iterative solvers from Eigen
*/
template <class SolverType, Dim_t DimS, Dim_t DimM=DimS>
class SolverEigen: public SolverBase<DimS, DimM>
{
public:
using Parent = SolverBase<DimS, DimM>; //!< base class
//! Input vector for solvers
using SolvVectorIn = typename Parent::SolvVectorIn;
//! Input vector for solvers
using SolvVectorInC = typename Parent::SolvVectorInC;
//! Output vector for solvers
using SolvVectorOut = typename Parent::SolvVectorOut;
using Sys_t = typename Parent::Sys_t; //!< cell type
using Ccoord = typename Parent::Ccoord; //!< cell coordinates type
//! kind of tangent that is required
using Tg_req_t = typename Parent::TangentRequirement;
//! handle for the cell to fit Eigen's sparse matrix interface
using Adaptor = typename Sys_t::Adaptor;
//! traits obtained from CRTP
using Solver = typename internal::Solver_traits<SolverType>::Solver;
//! All Eigen solvers need directional stiffness
constexpr static Tg_req_t tangent_requirement{Tg_req_t::NeedEffect};
//! Default constructor
SolverEigen() = delete;
//! Constructor with domain resolutions, etc,
SolverEigen(Sys_t& sys, Real tol, Uint maxiter=0, bool verbose =false);
//! Copy constructor
SolverEigen(const SolverEigen &other) = delete;
//! Move constructor
SolverEigen(SolverEigen &&other) = default;
//! Destructor
virtual ~SolverEigen() = default;
//! Copy assignment operator
SolverEigen& operator=(const SolverEigen &other) = delete;
//! Move assignment operator
SolverEigen& operator=(SolverEigen &&other) = default;
//! returns whether the solver has converged
bool has_converged() const override final {return this->solver.info() == Eigen::Success;}
//! Allocate fields used during the solution
void initialise() override final;
//! executes the solver
SolvVectorOut solve(const SolvVectorInC rhs, SolvVectorIn x_0) override final;
protected:
//! returns `muSpectre::Tg_req_t::NeedEffect`
Tg_req_t get_tangent_req() const override final;
Adaptor adaptor; //!< cell handle
Solver solver; //!< Eigen's Iterative solver
};
/**
* Binding to Eigen's conjugate gradient solver
*/
template <Dim_t DimS, Dim_t DimM>
class SolverCGEigen:
public SolverEigen<SolverCGEigen<DimS, DimM>, DimS, DimM> {
public:
using SolverEigen<SolverCGEigen<DimS, DimM>, DimS, DimM>::SolverEigen;
std::string name() const override final {return "CG";}
};
/**
* Binding to Eigen's GMRES solver
*/
template <Dim_t DimS, Dim_t DimM>
class SolverGMRESEigen:
public SolverEigen<SolverGMRESEigen<DimS, DimM>, DimS, DimM> {
public:
using SolverEigen<SolverGMRESEigen<DimS, DimM>, DimS, DimM>::SolverEigen;
std::string name() const override final {return "GMRES";}
};
/**
* Binding to Eigen's BiCGSTAB solver
*/
template <Dim_t DimS, Dim_t DimM>
class SolverBiCGSTABEigen:
public SolverEigen<SolverBiCGSTABEigen<DimS, DimM>, DimS, DimM> {
public:
using SolverEigen<SolverBiCGSTABEigen<DimS, DimM>, DimS, DimM>::SolverEigen;
//! Solver's name
std::string name() const override final {return "BiCGSTAB";}
};
/**
* Binding to Eigen's DGMRES solver
*/
template <Dim_t DimS, Dim_t DimM>
class SolverDGMRESEigen:
public SolverEigen<SolverDGMRESEigen<DimS, DimM>, DimS, DimM> {
public:
using SolverEigen<SolverDGMRESEigen<DimS, DimM>, DimS, DimM>::SolverEigen;
//! Solver's name
std::string name() const override final {return "DGMRES";}
};
/**
* Binding to Eigen's MINRES solver
*/
template <Dim_t DimS, Dim_t DimM>
class SolverMINRESEigen:
public SolverEigen<SolverMINRESEigen<DimS, DimM>, DimS, DimM> {
public:
using SolverEigen<SolverMINRESEigen<DimS, DimM>, DimS, DimM>::SolverEigen;
//! Solver's name
std::string name() const override final {return "MINRES";}
};
} // muSpectre
#endif /* SOLVER_EIGEN_H */

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