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534 lines
21 KiB
Fortran
534 lines
21 KiB
Fortran
!
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!
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! MLD2P4 version 2.1
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! MultiLevel Domain Decomposition Parallel Preconditioners Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.4)
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!
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! (C) Copyright 2008, 2010, 2012, 2015, 2017
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!
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! Salvatore Filippone Cranfield University
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! Ambra Abdullahi Hassan University of Rome Tor Vergata
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! Alfredo Buttari CNRS-IRIT, Toulouse
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! Pasqua D'Ambra ICAR-CNR, Naples
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! Daniela di Serafino University of Campania "L. Vanvitelli", Caserta
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions
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! are met:
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! 1. Redistributions of source code must retain the above copyright
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! notice, this list of conditions and the following disclaimer.
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! 2. Redistributions in binary form must reproduce the above copyright
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! notice, this list of conditions, and the following disclaimer in the
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! documentation and/or other materials provided with the distribution.
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! 3. The name of the MLD2P4 group or the names of its contributors may
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! not be used to endorse or promote products derived from this
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! software without specific written permission.
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!
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! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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!
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! File: mld_z_onelev_mod.f90
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!
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! Module: mld_z_onelev_mod
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!
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! This module defines:
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! - the mld_z_onelev_type data structure containing one level
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! of a multilevel preconditioner and related
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! data structures;
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!
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! It contains routines for
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! - Building and applying;
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! - checking if the preconditioner is correctly defined;
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! - printing a description of the preconditioner;
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! - deallocating the preconditioner data structure.
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!
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module mld_z_onelev_mod
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use mld_base_prec_type
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use mld_z_base_smoother_mod
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use psb_base_mod, only : psb_zspmat_type, psb_z_vect_type, &
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& psb_z_base_vect_type, psb_zlinmap_type, psb_dpk_, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type, psb_i_base_vect_type, &
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& psb_erractionsave, psb_error_handler
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!
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!
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! Type: mld_Tonelev_type.
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!
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! It is the data type containing the necessary items for the current
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! level (essentially, the smoother, the current-level matrix
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! and the restriction and prolongation operators).
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!
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! type mld_Tonelev_type
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! class(mld_T_base_smoother_type), allocatable :: sm
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! type(mld_RTml_parms) :: parms
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! type(psb_Tspmat_type) :: ac
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! type(psb_Tesc_type) :: desc_ac
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! type(psb_Tspmat_type), pointer :: base_a => null()
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! type(psb_Tesc_type), pointer :: base_desc => null()
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! type(psb_Tlinmap_type) :: map
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! end type mld_Tonelev_type
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!
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! Note that psb_Tpk denotes the kind of the real data type to be chosen
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! according to single/double precision version of MLD2P4.
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!
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! sm - class(mld_T_base_smoother_type), allocatable
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! The current level preconditioner (aka smoother).
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! parms - type(mld_RTml_parms)
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! The parameters defining the multilevel strategy.
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! ac - The local part of the current-level matrix, built by
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! coarsening the previous-level matrix.
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! desc_ac - type(psb_desc_type).
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! The communication descriptor associated to the matrix
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! stored in ac.
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! base_a - type(psb_Tspmat_type), pointer.
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! Pointer (really a pointer!) to the local part of the current
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! matrix (so we have a unified treatment of residuals).
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! We need this to avoid passing explicitly the current matrix
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! to the routine which applies the preconditioner.
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! base_desc - type(psb_desc_type), pointer.
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! Pointer to the communication descriptor associated to the
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! matrix pointed by base_a.
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! map - Stores the maps (restriction and prolongation) between the
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! vector spaces associated to the index spaces of the previous
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! and current levels.
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!
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! Methods:
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! Most methods follow the encapsulation hierarchy: they take whatever action
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! is appropriate for the current object, then call the corresponding method for
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! the contained object.
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! As an example: the descr() method prints out a description of the
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! level. It starts by invoking the descr() method of the parms object,
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! then calls the descr() method of the smoother object.
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!
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! descr - Prints a description of the object.
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! default - Set default values
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! dump - Dump to file object contents
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! set - Sets various parameters; when a request is unknown
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! it is passed to the smoother object for further processing.
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! check - Sanity checks.
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! sizeof - Total memory occupation in bytes
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! get_nzeros - Number of nonzeros
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!
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!
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type mld_z_onelev_type
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class(mld_z_base_smoother_type), allocatable :: sm, sm2a
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class(mld_z_base_smoother_type), pointer :: sm2 => null()
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type(mld_dml_parms) :: parms
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type(psb_zspmat_type) :: ac
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integer(psb_ipk_) :: ac_nz_loc, ac_nz_tot
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type(psb_desc_type) :: desc_ac
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type(psb_zspmat_type), pointer :: base_a => null()
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type(psb_desc_type), pointer :: base_desc => null()
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type(psb_zspmat_type) :: tprol
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type(psb_zlinmap_type) :: map
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real(psb_dpk_) :: szratio
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contains
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procedure, pass(lv) :: bld => mld_z_base_onelev_build
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procedure, pass(lv) :: clone => z_base_onelev_clone
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procedure, pass(lv) :: cnv => mld_z_base_onelev_cnv
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procedure, pass(lv) :: descr => mld_z_base_onelev_descr
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procedure, pass(lv) :: default => z_base_onelev_default
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procedure, pass(lv) :: free => mld_z_base_onelev_free
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procedure, pass(lv) :: nullify => z_base_onelev_nullify
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procedure, pass(lv) :: check => mld_z_base_onelev_check
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procedure, pass(lv) :: dump => mld_z_base_onelev_dump
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procedure, pass(lv) :: seti => mld_z_base_onelev_seti
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procedure, pass(lv) :: setr => mld_z_base_onelev_setr
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procedure, pass(lv) :: setc => mld_z_base_onelev_setc
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procedure, pass(lv) :: cseti => mld_z_base_onelev_cseti
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procedure, pass(lv) :: csetr => mld_z_base_onelev_csetr
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procedure, pass(lv) :: csetc => mld_z_base_onelev_csetc
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procedure, pass(lv) :: setsm => mld_z_base_onelev_setsm
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procedure, pass(lv) :: setsv => mld_z_base_onelev_setsv
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generic, public :: set => seti, setr, setc, &
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& cseti, csetr, csetc, setsm, setsv
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procedure, pass(lv) :: sizeof => z_base_onelev_sizeof
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procedure, pass(lv) :: get_nzeros => z_base_onelev_get_nzeros
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procedure, nopass :: stringval => mld_stringval
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procedure, pass(lv) :: move_alloc => z_base_onelev_move_alloc
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end type mld_z_onelev_type
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type mld_z_onelev_node
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type(mld_z_onelev_type) :: item
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type(mld_z_onelev_node), pointer :: prev=>null(), next=>null()
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end type mld_z_onelev_node
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private :: z_base_onelev_default, z_base_onelev_sizeof, &
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& z_base_onelev_nullify, z_base_onelev_get_nzeros, &
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& z_base_onelev_clone, z_base_onelev_move_alloc
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interface
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subroutine mld_z_base_onelev_build(lv,info,amold,vmold,imold)
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import :: psb_z_base_sparse_mat, psb_z_base_vect_type, &
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& psb_i_base_vect_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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implicit none
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class(mld_z_onelev_type), target, intent(inout) :: lv
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integer(psb_ipk_), intent(out) :: info
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class(psb_z_base_sparse_mat), intent(in), optional :: amold
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class(psb_z_base_vect_type), intent(in), optional :: vmold
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class(psb_i_base_vect_type), intent(in), optional :: imold
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end subroutine mld_z_base_onelev_build
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end interface
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interface
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subroutine mld_z_base_onelev_descr(lv,il,nl,ilmin,info,iout)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(in) :: lv
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integer(psb_ipk_), intent(in) :: il,nl,ilmin
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: iout
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end subroutine mld_z_base_onelev_descr
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end interface
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interface
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subroutine mld_z_base_onelev_cnv(lv,info,amold,vmold,imold)
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import :: mld_z_onelev_type, psb_z_base_vect_type, psb_dpk_, &
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& psb_z_base_sparse_mat, psb_ipk_, psb_i_base_vect_type
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(out) :: info
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class(psb_z_base_sparse_mat), intent(in), optional :: amold
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class(psb_z_base_vect_type), intent(in), optional :: vmold
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class(psb_i_base_vect_type), intent(in), optional :: imold
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end subroutine mld_z_base_onelev_cnv
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end interface
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interface
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subroutine mld_z_base_onelev_free(lv,info)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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implicit none
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_z_base_onelev_free
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end interface
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interface
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subroutine mld_z_base_onelev_check(lv,info)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_z_base_onelev_check
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end interface
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interface
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subroutine mld_z_base_onelev_seti(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(in) :: what
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integer(psb_ipk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_seti
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end interface
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interface
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subroutine mld_z_base_onelev_setsm(lv,val,info,pos)
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import :: psb_dpk_, mld_z_onelev_type, mld_z_base_smoother_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), target, intent(inout) :: lv
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class(mld_z_base_smoother_type), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_setsm
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end interface
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interface
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subroutine mld_z_base_onelev_setsv(lv,val,info,pos)
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import :: psb_dpk_, mld_z_onelev_type, mld_z_base_solver_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), target, intent(inout) :: lv
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class(mld_z_base_solver_type), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_setsv
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end interface
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interface
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subroutine mld_z_base_onelev_setc(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(in) :: what
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character(len=*), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_setc
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end interface
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interface
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subroutine mld_z_base_onelev_setr(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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class(mld_z_onelev_type), intent(inout) :: lv
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integer(psb_ipk_), intent(in) :: what
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real(psb_dpk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_setr
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end interface
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interface
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subroutine mld_z_base_onelev_cseti(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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character(len=*), intent(in) :: what
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integer(psb_ipk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_cseti
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end interface
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interface
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subroutine mld_z_base_onelev_csetc(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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! Arguments
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class(mld_z_onelev_type), intent(inout) :: lv
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character(len=*), intent(in) :: what
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character(len=*), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_csetc
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end interface
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interface
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subroutine mld_z_base_onelev_csetr(lv,what,val,info,pos)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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Implicit None
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class(mld_z_onelev_type), intent(inout) :: lv
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character(len=*), intent(in) :: what
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real(psb_dpk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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character(len=*), optional, intent(in) :: pos
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end subroutine mld_z_base_onelev_csetr
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end interface
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interface
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subroutine mld_z_base_onelev_dump(lv,level,info,prefix,head,ac,rp,smoother,&
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& solver,global_num)
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import :: psb_zspmat_type, psb_z_vect_type, psb_z_base_vect_type, &
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& psb_zlinmap_type, psb_dpk_, mld_z_onelev_type, &
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& psb_ipk_, psb_long_int_k_, psb_desc_type
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implicit none
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class(mld_z_onelev_type), intent(in) :: lv
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integer(psb_ipk_), intent(in) :: level
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integer(psb_ipk_), intent(out) :: info
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character(len=*), intent(in), optional :: prefix, head
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logical, optional, intent(in) :: ac, rp, smoother, solver, global_num
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end subroutine mld_z_base_onelev_dump
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end interface
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contains
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!
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! Function returning the size of the mld_prec_type data structure
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! in bytes or in number of nonzeros of the operator(s) involved.
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!
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function z_base_onelev_get_nzeros(lv) result(val)
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implicit none
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class(mld_z_onelev_type), intent(in) :: lv
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integer(psb_long_int_k_) :: val
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integer(psb_ipk_) :: i
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val = 0
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if (allocated(lv%sm)) &
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& val = lv%sm%get_nzeros()
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if (allocated(lv%sm2a)) &
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& val = val + lv%sm2a%get_nzeros()
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end function z_base_onelev_get_nzeros
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|
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function z_base_onelev_sizeof(lv) result(val)
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implicit none
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|
class(mld_z_onelev_type), intent(in) :: lv
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|
integer(psb_long_int_k_) :: val
|
|
integer(psb_ipk_) :: i
|
|
|
|
val = 0
|
|
val = val + lv%desc_ac%sizeof()
|
|
val = val + lv%ac%sizeof()
|
|
val = val + lv%tprol%sizeof()
|
|
val = val + lv%map%sizeof()
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|
if (allocated(lv%sm)) val = val + lv%sm%sizeof()
|
|
if (allocated(lv%sm2a)) val = val + lv%sm2a%sizeof()
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|
end function z_base_onelev_sizeof
|
|
|
|
|
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subroutine z_base_onelev_nullify(lv)
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implicit none
|
|
|
|
class(mld_z_onelev_type), intent(inout) :: lv
|
|
|
|
nullify(lv%base_a)
|
|
nullify(lv%base_desc)
|
|
nullify(lv%sm2)
|
|
end subroutine z_base_onelev_nullify
|
|
|
|
!
|
|
! Multilevel defaults:
|
|
! multiplicative vs. additive ML framework;
|
|
! Smoothed decoupled aggregation with zero threshold;
|
|
! distributed coarse matrix;
|
|
! damping omega computed with the max-norm estimate of the
|
|
! dominant eigenvalue;
|
|
! two-sided smoothing (i.e. V-cycle) with 1 smoothing sweep;
|
|
!
|
|
|
|
subroutine z_base_onelev_default(lv)
|
|
|
|
Implicit None
|
|
|
|
! Arguments
|
|
class(mld_z_onelev_type), target, intent(inout) :: lv
|
|
|
|
lv%parms%sweeps = 1
|
|
lv%parms%sweeps_pre = 1
|
|
lv%parms%sweeps_post = 1
|
|
lv%parms%ml_type = mld_vcycle_ml_
|
|
lv%parms%aggr_alg = mld_dec_aggr_
|
|
lv%parms%aggr_ord = mld_aggr_ord_nat_
|
|
lv%parms%aggr_kind = mld_smooth_prol_
|
|
lv%parms%coarse_mat = mld_distr_mat_
|
|
lv%parms%smoother_pos = mld_twoside_smooth_
|
|
lv%parms%aggr_omega_alg = mld_eig_est_
|
|
lv%parms%aggr_eig = mld_max_norm_
|
|
lv%parms%aggr_filter = mld_no_filter_mat_
|
|
lv%parms%aggr_omega_val = dzero
|
|
lv%parms%aggr_thresh = dzero
|
|
|
|
if (allocated(lv%sm)) call lv%sm%default()
|
|
if (allocated(lv%sm2a)) then
|
|
call lv%sm2a%default()
|
|
lv%sm2 => lv%sm2a
|
|
else
|
|
lv%sm2 => lv%sm
|
|
end if
|
|
|
|
return
|
|
|
|
end subroutine z_base_onelev_default
|
|
|
|
|
|
|
|
subroutine z_base_onelev_clone(lv,lvout,info)
|
|
|
|
Implicit None
|
|
|
|
! Arguments
|
|
class(mld_z_onelev_type), target, intent(inout) :: lv
|
|
class(mld_z_onelev_type), target, intent(inout) :: lvout
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
info = psb_success_
|
|
if (allocated(lv%sm)) then
|
|
call lv%sm%clone(lvout%sm,info)
|
|
else
|
|
if (allocated(lvout%sm)) then
|
|
call lvout%sm%free(info)
|
|
if (info==psb_success_) deallocate(lvout%sm,stat=info)
|
|
end if
|
|
end if
|
|
if (allocated(lv%sm2a)) then
|
|
call lv%sm%clone(lvout%sm2a,info)
|
|
lvout%sm2 => lvout%sm2a
|
|
else
|
|
if (allocated(lvout%sm2a)) then
|
|
call lvout%sm2a%free(info)
|
|
if (info==psb_success_) deallocate(lvout%sm2a,stat=info)
|
|
end if
|
|
lvout%sm2 => lvout%sm
|
|
end if
|
|
if (info == psb_success_) call lv%parms%clone(lvout%parms,info)
|
|
if (info == psb_success_) call lv%ac%clone(lvout%ac,info)
|
|
if (info == psb_success_) call lv%tprol%clone(lvout%tprol,info)
|
|
if (info == psb_success_) call lv%desc_ac%clone(lvout%desc_ac,info)
|
|
if (info == psb_success_) call lv%map%clone(lvout%map,info)
|
|
lvout%base_a => lv%base_a
|
|
lvout%base_desc => lv%base_desc
|
|
|
|
return
|
|
|
|
end subroutine z_base_onelev_clone
|
|
|
|
|
|
subroutine z_base_onelev_move_alloc(lv, b,info)
|
|
use psb_base_mod
|
|
implicit none
|
|
class(mld_z_onelev_type), target, intent(inout) :: lv, b
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
call b%free(info)
|
|
b%parms = lv%parms
|
|
b%szratio = lv%szratio
|
|
if (associated(lv%sm2,lv%sm2a)) then
|
|
call move_alloc(lv%sm,b%sm)
|
|
call move_alloc(lv%sm2a,b%sm2a)
|
|
b%sm2 =>b%sm2a
|
|
else
|
|
call move_alloc(lv%sm,b%sm)
|
|
call move_alloc(lv%sm2a,b%sm2a)
|
|
b%sm2 =>b%sm
|
|
end if
|
|
|
|
if (info == psb_success_) call psb_move_alloc(lv%ac,b%ac,info)
|
|
if (info == psb_success_) call psb_move_alloc(lv%tprol,b%tprol,info)
|
|
if (info == psb_success_) call psb_move_alloc(lv%desc_ac,b%desc_ac,info)
|
|
if (info == psb_success_) call psb_move_alloc(lv%map,b%map,info)
|
|
b%base_a => lv%base_a
|
|
b%base_desc => lv%base_desc
|
|
|
|
end subroutine z_base_onelev_move_alloc
|
|
|
|
end module mld_z_onelev_mod
|