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!!$
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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 Second University of Naples
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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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!
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! File: mld_d_as_smoother_mod.f90
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!
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! Module: mld_d_as_smoother_mod
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!
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! This module defines:
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! the mld_d_as_smoother_type data structure containing the
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! smoother for an Additive Schwarz smoother.
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!
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! To begin with, the build procedure constructs the extended
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! matrix A and its corresponding descriptor (this has multiple
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! halo layers duplicated across different processes); it then
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! stores in ND the block off-diagonal matrix, and builds the solver
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! on the (extended) block diagonal matrix.
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!
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! The code allows for the variations of Additive Schwartz, Restricted
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! Additive Schwartz and Additive Schwartz with Harmonic Extensions.
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! From an implementation point of view, these are handled by
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! combining application/non-application of the prolongator/restrictor
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! operators.
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!
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module mld_d_as_smoother
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use mld_d_base_smoother_mod
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type, extends(mld_d_base_smoother_type) :: mld_d_as_smoother_type
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! The local solver component is inherited from the
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! parent type.
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! class(mld_d_base_solver_type), allocatable :: sv
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!
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type(psb_dspmat_type) :: nd
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type(psb_desc_type) :: desc_data
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integer(psb_ipk_) :: novr, restr, prol, nd_nnz_tot
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contains
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procedure, pass(sm) :: check => mld_d_as_smoother_check
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procedure, pass(sm) :: dump => mld_d_as_smoother_dmp
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procedure, pass(sm) :: build => mld_d_as_smoother_bld
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procedure, pass(sm) :: cnv => mld_d_as_smoother_cnv
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procedure, pass(sm) :: clone => mld_d_as_smoother_clone
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procedure, pass(sm) :: apply_v => mld_d_as_smoother_apply_vect
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procedure, pass(sm) :: apply_a => mld_d_as_smoother_apply
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procedure, pass(sm) :: restr_a => mld_d_as_smoother_restr_a
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procedure, pass(sm) :: prol_a => mld_d_as_smoother_prol_a
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procedure, pass(sm) :: restr_v => mld_d_as_smoother_restr_v
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procedure, pass(sm) :: prol_v => mld_d_as_smoother_prol_v
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generic, public :: apply_restr => restr_v, restr_a
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generic, public :: apply_prol => prol_v, prol_a
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procedure, pass(sm) :: free => mld_d_as_smoother_free
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procedure, pass(sm) :: seti => mld_d_as_smoother_seti
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procedure, pass(sm) :: setc => mld_d_as_smoother_setc
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procedure, pass(sm) :: cseti => mld_d_as_smoother_cseti
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procedure, pass(sm) :: csetc => mld_d_as_smoother_csetc
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procedure, pass(sm) :: descr => d_as_smoother_descr
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procedure, pass(sm) :: sizeof => d_as_smoother_sizeof
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procedure, pass(sm) :: default => d_as_smoother_default
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procedure, pass(sm) :: get_nzeros => d_as_smoother_get_nzeros
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procedure, nopass :: get_fmt => d_as_smoother_get_fmt
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end type mld_d_as_smoother_type
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private :: d_as_smoother_descr, d_as_smoother_sizeof, &
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& d_as_smoother_default, d_as_smoother_get_nzeros, &
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& d_as_smoother_get_fmt
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character(len=6), parameter, private :: &
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& restrict_names(0:4)=(/'none ','halo ',' ',' ',' '/)
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character(len=12), parameter, private :: &
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& prolong_names(0:3)=(/'none ','sum ','average ','square root'/)
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interface
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subroutine mld_d_as_smoother_check(sm,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_d_as_smoother_check
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end interface
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interface
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subroutine mld_d_as_smoother_restr_v(sm,x,trans,work,info,data)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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type(psb_d_vect_type),intent(inout) :: x
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character(len=1),intent(in) :: trans
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), optional, intent(in) :: data
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end subroutine mld_d_as_smoother_restr_v
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end interface
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interface
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subroutine mld_d_as_smoother_restr_a(sm,x,trans,work,info,data)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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real(psb_dpk_), intent(inout) :: x(:)
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character(len=1),intent(in) :: trans
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), optional, intent(in) :: data
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end subroutine mld_d_as_smoother_restr_a
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end interface
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interface
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subroutine mld_d_as_smoother_prol_v(sm,x,trans,work,info,data)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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type(psb_d_vect_type),intent(inout) :: x
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character(len=1),intent(in) :: trans
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), optional, intent(in) :: data
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end subroutine mld_d_as_smoother_prol_v
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end interface
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interface
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subroutine mld_d_as_smoother_prol_a(sm,x,trans,work,info,data)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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real(psb_dpk_), intent(inout) :: x(:)
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character(len=1),intent(in) :: trans
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), optional, intent(in) :: data
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end subroutine mld_d_as_smoother_prol_a
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end interface
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interface
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subroutine mld_d_as_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,&
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& trans,sweeps,work,info,init,initu)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_d_as_smoother_type), intent(inout) :: sm
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type(psb_d_vect_type),intent(inout) :: x
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type(psb_d_vect_type),intent(inout) :: y
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real(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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integer(psb_ipk_), intent(in) :: sweeps
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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character, intent(in), optional :: init
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type(psb_d_vect_type),intent(inout), optional :: initu
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end subroutine mld_d_as_smoother_apply_vect
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end interface
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interface
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subroutine mld_d_as_smoother_apply(alpha,sm,x,beta,y,desc_data,&
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& trans,sweeps,work,info,init,initu)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_,&
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& psb_desc_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_d_as_smoother_type), intent(inout) :: sm
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real(psb_dpk_),intent(inout) :: x(:)
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real(psb_dpk_),intent(inout) :: y(:)
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real(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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integer(psb_ipk_), intent(in) :: sweeps
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real(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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character, intent(in), optional :: init
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real(psb_dpk_),intent(inout), optional :: initu(:)
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end subroutine mld_d_as_smoother_apply
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end interface
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interface
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subroutine mld_d_as_smoother_bld(a,desc_a,sm,upd,info,amold,vmold,imold)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_desc_type, psb_d_base_sparse_mat, psb_ipk_,&
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& psb_i_base_vect_type
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implicit none
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type(psb_dspmat_type), intent(in), target :: a
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Type(psb_desc_type), Intent(inout) :: desc_a
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|
class(mld_d_as_smoother_type), intent(inout) :: sm
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character, intent(in) :: upd
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integer(psb_ipk_), intent(out) :: info
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class(psb_d_base_sparse_mat), intent(in), optional :: amold
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class(psb_d_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_d_as_smoother_bld
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end interface
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interface
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subroutine mld_d_as_smoother_cnv(sm,info,amold,vmold,imold)
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import :: psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, &
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& psb_d_base_sparse_mat, psb_ipk_, psb_i_base_vect_type
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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integer(psb_ipk_), intent(out) :: info
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class(psb_d_base_sparse_mat), intent(in), optional :: amold
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class(psb_d_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_d_as_smoother_cnv
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end interface
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interface
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|
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subroutine mld_d_as_smoother_seti(sm,what,val,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
|
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
|
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|
|
implicit none
|
|
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class(mld_d_as_smoother_type), intent(inout) :: sm
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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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end subroutine mld_d_as_smoother_seti
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end interface
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interface
|
|
|
|
subroutine mld_d_as_smoother_setc(sm,what,val,info)
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|
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|
import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
|
|
|
|
& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
|
|
|
|
implicit none
|
|
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|
class(mld_d_as_smoother_type), intent(inout) :: sm
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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
|
|
|
|
end subroutine mld_d_as_smoother_setc
|
|
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|
end interface
|
|
|
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|
|
|
|
interface
|
|
|
|
subroutine mld_d_as_smoother_setr(sm,what,val,info)
|
|
|
|
import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
|
|
|
|
& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
|
|
|
|
implicit none
|
|
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|
class(mld_d_as_smoother_type), intent(inout) :: sm
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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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end subroutine mld_d_as_smoother_setr
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end interface
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interface
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subroutine mld_d_as_smoother_cseti(sm,what,val,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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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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end subroutine mld_d_as_smoother_cseti
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end interface
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interface
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subroutine mld_d_as_smoother_csetc(sm,what,val,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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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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end subroutine mld_d_as_smoother_csetc
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end interface
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interface
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subroutine mld_d_as_smoother_csetr(sm,what,val,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
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implicit none
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class(mld_d_as_smoother_type), intent(inout) :: sm
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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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end subroutine mld_d_as_smoother_csetr
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end interface
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interface
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subroutine mld_d_as_smoother_free(sm,info)
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import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, psb_ipk_
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|
implicit none
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|
class(mld_d_as_smoother_type), intent(inout) :: sm
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_d_as_smoother_free
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end interface
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interface
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subroutine mld_d_as_smoother_dmp(sm,ictxt,level,info,prefix,head,smoother,solver)
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|
import :: psb_dspmat_type, psb_d_vect_type, psb_d_base_vect_type, &
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|
& psb_dpk_, mld_d_as_smoother_type, psb_long_int_k_, psb_desc_type, &
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|
& psb_ipk_
|
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|
implicit none
|
|
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|
class(mld_d_as_smoother_type), intent(in) :: sm
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|
integer(psb_ipk_), intent(in) :: ictxt
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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) :: smoother, solver
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|
end subroutine mld_d_as_smoother_dmp
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|
|
end interface
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|
interface
|
|
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|
subroutine mld_d_as_smoother_clone(sm,smout,info)
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|
import :: mld_d_as_smoother_type, psb_dpk_, &
|
|
|
|
& mld_d_base_smoother_type, psb_ipk_
|
|
|
|
class(mld_d_as_smoother_type), intent(inout) :: sm
|
|
|
|
class(mld_d_base_smoother_type), allocatable, intent(inout) :: smout
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|
|
integer(psb_ipk_), intent(out) :: info
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|
end subroutine mld_d_as_smoother_clone
|
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|
end interface
|
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|
contains
|
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|
|
function d_as_smoother_sizeof(sm) result(val)
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
|
|
class(mld_d_as_smoother_type), intent(in) :: sm
|
|
|
|
integer(psb_long_int_k_) :: val
|
|
|
|
integer(psb_ipk_) :: i
|
|
|
|
|
|
|
|
val = psb_sizeof_int
|
|
|
|
if (allocated(sm%sv)) val = val + sm%sv%sizeof()
|
|
|
|
val = val + sm%nd%sizeof()
|
|
|
|
|
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|
|
return
|
|
|
|
end function d_as_smoother_sizeof
|
|
|
|
|
|
|
|
function d_as_smoother_get_nzeros(sm) result(val)
|
|
|
|
implicit none
|
|
|
|
class(mld_d_as_smoother_type), intent(in) :: sm
|
|
|
|
integer(psb_long_int_k_) :: val
|
|
|
|
integer(psb_ipk_) :: i
|
|
|
|
val = 0
|
|
|
|
if (allocated(sm%sv)) &
|
|
|
|
& val = sm%sv%get_nzeros()
|
|
|
|
val = val + sm%nd%get_nzeros()
|
|
|
|
|
|
|
|
end function d_as_smoother_get_nzeros
|
|
|
|
|
|
|
|
subroutine d_as_smoother_default(sm)
|
|
|
|
|
|
|
|
use psb_base_mod, only : psb_halo_, psb_none_
|
|
|
|
|
|
|
|
Implicit None
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
class(mld_d_as_smoother_type), intent(inout) :: sm
|
|
|
|
|
|
|
|
|
|
|
|
sm%restr = psb_halo_
|
|
|
|
sm%prol = psb_none_
|
|
|
|
sm%novr = 1
|
|
|
|
|
|
|
|
|
|
|
|
if (allocated(sm%sv)) then
|
|
|
|
call sm%sv%default()
|
|
|
|
end if
|
|
|
|
|
|
|
|
return
|
|
|
|
end subroutine d_as_smoother_default
|
|
|
|
|
|
|
|
|
|
|
|
subroutine d_as_smoother_descr(sm,info,iout,coarse)
|
|
|
|
|
|
|
|
Implicit None
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
class(mld_d_as_smoother_type), intent(in) :: sm
|
|
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
integer(psb_ipk_), intent(in), optional :: iout
|
|
|
|
logical, intent(in), optional :: coarse
|
|
|
|
|
|
|
|
! Local variables
|
|
|
|
integer(psb_ipk_) :: err_act
|
|
|
|
character(len=20), parameter :: name='mld_d_as_smoother_descr'
|
|
|
|
integer(psb_ipk_) :: iout_
|
|
|
|
logical :: coarse_
|
|
|
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
info = psb_success_
|
|
|
|
if (present(coarse)) then
|
|
|
|
coarse_ = coarse
|
|
|
|
else
|
|
|
|
coarse_ = .false.
|
|
|
|
end if
|
|
|
|
if (present(iout)) then
|
|
|
|
iout_ = iout
|
|
|
|
else
|
|
|
|
iout_ = 6
|
|
|
|
endif
|
|
|
|
|
|
|
|
if (.not.coarse_) then
|
|
|
|
write(iout_,*) ' Additive Schwarz with ',&
|
|
|
|
& sm%novr, ' overlap layers.'
|
|
|
|
write(iout_,*) ' Restrictor: ',restrict_names(sm%restr)
|
|
|
|
write(iout_,*) ' Prolongator: ',prolong_names(sm%prol)
|
|
|
|
write(iout_,*) ' Local solver:'
|
|
|
|
endif
|
|
|
|
if (allocated(sm%sv)) then
|
|
|
|
call sm%sv%descr(info,iout_,coarse=coarse)
|
|
|
|
end if
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
return
|
|
|
|
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
return
|
|
|
|
|
|
|
|
end subroutine d_as_smoother_descr
|
|
|
|
|
|
|
|
function d_as_smoother_get_fmt() result(val)
|
|
|
|
implicit none
|
|
|
|
character(len=32) :: val
|
|
|
|
|
|
|
|
val = "Schwarz smoother"
|
|
|
|
end function d_as_smoother_get_fmt
|
|
|
|
|
|
|
|
end module mld_d_as_smoother
|