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347 lines
10 KiB
Fortran
347 lines
10 KiB
Fortran
!
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! Parallel Sparse BLAS version 3.5
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! (C) Copyright 2006-2018
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! Salvatore Filippone
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! Alfredo Buttari
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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 PSBLAS 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 PSBLAS 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: psb_dkrylovsubspace_mod.F90
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! Module contains Krylov subspace constructors
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!
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! type psb_dpolkrylov : Polynomial Krylov Space
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! v(:) psb_d_vect_type orthogonal basis of the Krylov space
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! h(:,:) real(psb_dpk_) projected matrix
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! maxsize integer maximum size
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! k current vector
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module psb_dkrylovsubspace_mod
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use psb_base_mod
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use psb_util_mod
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use psb_krylov_mod
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implicit none
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private
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public psb_dpolkrylov
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type :: psb_dpolkrylov
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type(psb_d_vect_type), allocatable, dimension(:) :: v
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real(psb_dpk_), allocatable, dimension(:,:) :: h
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integer(psb_ipk_) :: maxsize
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integer(psb_ipk_) :: k
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contains
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procedure, pass(kryl) :: allocate => psb_dallocate_kryl
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procedure, pass(kryl) :: free => psb_dfree_kryl
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procedure, pass(kryl) :: arnoldi => psb_darnoldi_kryl
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procedure, pass(kryl) :: write => psb_dwrite_kryl
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end type
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contains
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! Allocate the storage for the Krylov space basis and projected matrix
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subroutine psb_dallocate_kryl(kryl,desc_a,maxsize,info)
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use psb_base_mod
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implicit none
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class(psb_dpolkrylov), intent(inout) :: kryl
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type(psb_desc_type), intent(in) :: desc_a
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integer(psb_ipk_), intent(in) :: maxsize
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integer(psb_ipk_), intent(out) :: info
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! Local
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: err_act
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character(len=20) :: name, ch_err
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integer(psb_lpk_) :: m
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name = 'polkrylov_allocate'
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if (psb_errstatus_fatal()) return
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info = psb_success_
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call psb_erractionsave(err_act)
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ctxt = desc_a%get_context()
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if (.not.allocated(kryl%h)) then
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allocate(kryl%h(maxsize+1,maxsize), stat=info)
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kryl%h = dzero
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else
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info = -1
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end if
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if ( info /= 0) then
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info=psb_err_from_subroutine_
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ch_err='allocate h'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (info == psb_success_) call psb_geall(kryl%v,desc_a,info,n=maxsize)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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ch_err='allocate v'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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kryl%k = 0_psb_ipk_
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m = desc_a%get_global_rows()
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if( maxsize > m ) then
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write(psb_out_unit,'("Warning: maxsize > matrix size: defaulting")')
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kryl%maxsize = m-1
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else
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kryl%maxsize = maxsize
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end if
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(ctxt,err_act)
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return
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end subroutine psb_dallocate_kryl
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! Frees the Krylov space basis and projected matrix
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subroutine psb_dfree_kryl(kryl,desc_a,info)
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use psb_base_mod
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implicit none
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class(psb_dpolkrylov), intent(inout) :: kryl
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type(psb_desc_type), intent(in) :: desc_a
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integer(psb_ipk_), intent(out) :: info
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! Local
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: err_act
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character(len=20) :: name, ch_err
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name = 'polkrylov_free'
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if (psb_errstatus_fatal()) return
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info = psb_success_
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call psb_erractionsave(err_act)
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ctxt = desc_a%get_context()
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if (allocated(kryl%h)) deallocate(kryl%h, stat=info)
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if ( info /= 0) then
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info=psb_err_from_subroutine_
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ch_err='free h'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (info == psb_success_) call psb_gefree(kryl%v,desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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ch_err='free v'
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call psb_errpush(info,name)
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goto 9999
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end if
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(ctxt,err_act)
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return
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end subroutine psb_dfree_kryl
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! Expand the Krylov space by doing one sweep of Arnoldi
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subroutine psb_darnoldi_kryl(kryl,a,desc_a,x,l)
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use psb_base_mod
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implicit none
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class(psb_dpolkrylov), intent(inout) :: kryl
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type(psb_dspmat_type), intent(in) :: a
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type(psb_d_vect_type), Intent(inout) :: x
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type(psb_desc_type), intent(in) :: desc_a
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integer(psb_ipk_), optional, intent(in) :: l
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! Local
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integer(psb_ipk_) :: l_,i,i1,j,repeat
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integer(psb_lpk_) :: mglob
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: err_act, info
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character(len=20) :: name, ch_err
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real(psb_dpk_) :: nrm0
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real(psb_dpk_) :: scal
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info = psb_success_
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name = 'psb_darnoldi_kryl'
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call psb_erractionsave(err_act)
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ctxt = desc_a%get_context()
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! If no specificn number of vector is required we just perform a single
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! Arnoldi step
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if(present(l)) then
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l_ = l
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else
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l_ = 1
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endif
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! Check if the vector makes sense with the descriptor
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if (.not.allocated(x%v)) then
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info = psb_err_invalid_vect_state_
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call psb_errpush(info,name)
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goto 9999
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endif
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call psb_chkvect(mglob,lone,x%get_nrows(),lone,lone,desc_a,info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_chkvect on X')
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goto 9999
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end if
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if (kryl%k == 0) then
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! We have never done the first step
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nrm0 = psb_genrm2(x,desc_a,info)
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call psb_geaxpby(done/nrm0,x,dzero,kryl%v(1),desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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kryl%k = 1
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end if
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i = kryl%k
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if ((i+l_) > kryl%maxsize) then
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write(psb_out_unit,'("Warning: Request exceed allocated size, reducing")')
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l_ = kryl%maxsize - i
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end if
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do repeat=i,i+l_
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i1 = i + 1
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! new candidate vector
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call psb_spmm(done,a,kryl%v(i),dzero,kryl%v(i1),desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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! Appy MGS procedure
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do j=1,i
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kryl%h(j,i) = psb_gedot(kryl%v(j),kryl%v(i1),desc_a,info)
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call psb_geaxpby(-kryl%h(j,i),kryl%v(j),done,kryl%v(i1),desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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end do
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kryl%h(i1,i) = psb_genrm2(kryl%v(i1),desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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scal = done/kryl%h(i1,i)
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call psb_gescal(kryl%v(i1),scal,kryl%v(i1),desc_a,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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i = i1
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end do
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kryl%k = i
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine psb_darnoldi_kryl
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! Write Krylov subspace to file
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subroutine psb_dwrite_kryl(kryl,desc_a,filename)
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use psb_base_mod
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use psb_util_mod
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implicit none
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class(psb_dpolkrylov), intent(inout) :: kryl
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type(psb_desc_type), intent(inout) :: desc_a
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character(len=*), intent(in) :: filename
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! local
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: err_act, info, iam, np, i
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integer(psb_lpk_) :: mglob
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character(len=20) :: name, ch_err
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real(psb_dpk_), allocatable :: vglobal(:,:)
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real(psb_dpk_), allocatable :: w(:)
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info = psb_success_
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name = 'psb_dwrite_kryl'
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call psb_erractionsave(err_act)
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ctxt = desc_a%get_context()
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call psb_info(ctxt,iam,np)
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if (iam == psb_root_) then
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call mm_array_write(kryl%h(1:kryl%k+1,1:kryl%k),"Projected Matrix",info,filename=trim(filename)//"_h")
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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end if
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mglob = desc_a%get_global_rows()
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allocate(vglobal(mglob,kryl%k), stat=info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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do i=1,kryl%k
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call psb_gather(w,kryl%v(i),desc_a,info)
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vglobal(:,i) = w
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end do
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if (iam == psb_root_) then
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call mm_array_write(vglobal,"Krylov basis",info,filename=trim(filename)//"_v")
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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end if
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if (allocated(vglobal)) deallocate(vglobal, stat=info)
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if (allocated(w)) deallocate(w, stat=info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_non_
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call psb_errpush(info,name)
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goto 9999
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end if
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine
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end module psb_dkrylovsubspace_mod
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