/* ************************************************************************ * Copyright (C) 2018-2021 Advanced Micro Devices, Inc. All rights Reserved. * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. * * ************************************************************************ */ #ifndef ROCALUTION_PRECONDITIONER_AS_HPP_ #define ROCALUTION_PRECONDITIONER_AS_HPP_ #include "preconditioner.hpp" #include "rocalution/export.hpp" namespace rocalution { /** \ingroup precond_module * \class AS * \brief Additive Schwarz Preconditioner * \details * The Additive Schwarz preconditioner relies on a preconditioning technique, where the * linear system \f$Ax=b\f$ can be decomposed into small sub-problems based on * \f$A_{i} = R_{i}^{T}AR_{i}\f$, where \f$R_{i}\f$ are restriction operators. Those * restriction operators produce sub-matrices wich overlap. This leads to contributions * from two preconditioners on the overlapped area which are scaled by \f$1/2\f$. * \cite RAS * * \tparam OperatorType - can be LocalMatrix * \tparam VectorType - can be LocalVector * \tparam ValueType - can be float, double, std::complex or std::complex */ template class AS : public Preconditioner { public: ROCALUTION_EXPORT AS(); ROCALUTION_EXPORT virtual ~AS(); ROCALUTION_EXPORT virtual void Print(void) const; /** \brief Set number of blocks, overlap and array of preconditioners */ ROCALUTION_EXPORT void Set(int nb, int overlap, Solver** preconds); ROCALUTION_EXPORT virtual void Solve(const VectorType& rhs, VectorType* x); ROCALUTION_EXPORT virtual void Build(void); ROCALUTION_EXPORT virtual void Clear(void); protected: virtual void MoveToHostLocalData_(void); virtual void MoveToAcceleratorLocalData_(void); /** \brief Number of blocks */ int num_blocks_; /**< Number of blocks */ /** \brief Overlap */ int overlap_; /** \brief Position */ int* pos_; /** \brief Sizes including overlap */ int* sizes_; /** \brief Preconditioner for each block */ Solver** local_precond_; /** \brief Local operator */ OperatorType** local_mat_; /** \brief r */ VectorType** r_; /** \brief z */ VectorType** z_; /** \brief weights */ VectorType weight_; }; /** \ingroup precond_module * \class RAS * \brief Restricted Additive Schwarz Preconditioner * \details * The Restricted Additive Schwarz preconditioner relies on a preconditioning technique, * where the linear system \f$Ax=b\f$ can be decomposed into small sub-problems based on * \f$A_{i} = R_{i}^{T}AR_{i}\f$, where \f$R_{i}\f$ are restriction operators. The RAS * method is a mixture of block Jacobi and the AS scheme. In this case, the sub-matrices * contain overlapped areas from other blocks, too. * \cite RAS * * \tparam OperatorType - can be LocalMatrix * \tparam VectorType - can be LocalVector * \tparam ValueType - can be float, double, std::complex or std::complex */ template class RAS : public AS { public: ROCALUTION_EXPORT RAS(); ROCALUTION_EXPORT virtual ~RAS(); ROCALUTION_EXPORT virtual void Print(void) const; ROCALUTION_EXPORT virtual void Solve(const VectorType& rhs, VectorType* x); }; } // namespace rocalution #endif // ROCALUTION_PRECONDITIONER_AS_HPP_