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psblas3/base/psblas/psb_dspsm.f90

713 lines
20 KiB
Fortran

!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! File: psb_dspsm.f90
!
!
! Subroutine: psb_dsps_vect
! Performs one of the distributed matrix-vector operations
!
! Y := alpha * Pr * A-1 * Pc * X + beta * Y, or
!
! Y := alpha * D * Pr * A-1 * Pc * X + beta * Y, or
!
! Y := alpha * Pr * A-1 * Pc * D * X + beta * Y, or
!
! Y := alpha * Pr * A-T * Pc * X + beta * Y, or
!
! Y := alpha * D * Pr * A-T * Pc * X + beta * Y, or
!
! Y := alpha * Pr * A-T * Pc * D * X + beta * Y, or
!
! X is a distributed
! vector and T is a M-by-M distributed triangular matrix.
!
!
! Arguments:
! alpha - real. The scalar alpha.
! a - type(psb_dspmat_type). The sparse matrix containing A.
! x - type(psb_d_vect_type) The input vector containing the entries of ( X ).
! beta - real The scalar beta.
! y - type(psb_d_vect_type) The input vector containing the entries of ( Y ).
! desc_a - type(psb_desc_type). The communication descriptor.
! info - integer. Return code
! trans - character(optional). Whether A or A'. If not present 'N' is assumed.
! scale - character(optional). Specify some type of operation with
! the diagonal matrix D.
! choice - integer(optional). The kind of update to perform on overlap elements.
! d(:) - real, optional Matrix for diagonal scaling.
! work(:) - real, optional Working area.
!
subroutine psb_dspsv_vect(alpha,a,x,beta,y,desc_a,info,&
& trans, scale, choice, diag, work)
use psb_base_mod, psb_protect_name => psb_dspsv_vect
use psi_mod
implicit none
real(psb_dpk_), intent(in) :: alpha, beta
type(psb_d_vect_type), intent(inout) :: x
type(psb_d_vect_type), intent(inout) :: y
type(psb_dspmat_type), intent(inout) :: a
type(psb_desc_type), intent(in) :: desc_a
integer(psb_ipk_), intent(out) :: info
type(psb_d_vect_type), intent(inout), optional :: diag
real(psb_dpk_), optional, target, intent(inout) :: work(:)
character, intent(in), optional :: trans, scale
integer(psb_ipk_), intent(in), optional :: choice
! locals
integer(psb_ipk_) :: ictxt, np, me, &
& err_act, iix, jjx, ia, ja, iia, jja, lldx,lldy, choice_,&
& ix, iy, ik, jx, jy, i, lld,&
& m, nrow, ncol, liwork, llwork, iiy, jjy, idx, ndm
character :: lscale
integer(psb_ipk_), parameter :: nb=4
real(psb_dpk_),pointer :: iwork(:), xp(:), yp(:)
character :: itrans
character(len=20) :: name, ch_err
logical :: aliw
name='psb_dspsv_vect'
info=psb_success_
call psb_erractionsave(err_act)
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_ ; goto 9999
end if
ictxt=desc_a%get_context()
call psb_info(ictxt, me, np)
if (np == -1) then
info = psb_err_context_error_
call psb_errpush(info,name)
goto 9999
endif
if (.not.allocated(x%v)) then
info = psb_err_invalid_vect_state_
call psb_errpush(info,name)
goto 9999
endif
if (.not.allocated(y%v)) then
info = psb_err_invalid_vect_state_
call psb_errpush(info,name)
goto 9999
endif
if (present(choice)) then
choice_ = choice
else
choice_ = psb_avg_
endif
if (present(scale)) then
lscale = psb_toupper(scale)
else
lscale = 'U'
endif
if (present(trans)) then
itrans = psb_toupper(trans)
if((itrans == 'N').or.(itrans == 'T').or.(itrans == 'C')) then
! Ok
else
info = psb_err_iarg_invalid_value_
call psb_errpush(info,name)
goto 9999
end if
else
itrans = 'N'
endif
m = desc_a%get_global_rows()
nrow = desc_a%get_local_rows()
ncol = desc_a%get_local_cols()
lldx = x%get_nrows()
lldy = y%get_nrows()
if ((info == 0).and.(lldx<ncol)) call x%reall(ncol,info)
if ((info == 0).and.(lldy<ncol)) call y%reall(ncol,info)
if (psb_errstatus_fatal()) then
info=psb_err_from_subroutine_
ch_err='reall'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
iwork => null()
! check for presence/size of a work area
liwork= 2*ncol
if (present(work)) then
if (size(work) >= liwork) then
aliw =.false.
else
aliw=.true.
endif
else
aliw=.true.
end if
if (aliw) then
allocate(iwork(liwork),stat=info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_realloc'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
else
iwork => work
endif
iwork(1)=0.d0
! Perform local triangular system solve
if (present(diag)) then
call a%spsm(alpha,x,beta,y,info,scale=scale,d=diag,trans=trans)
else
call a%spsm(alpha,x,beta,y,info,scale=scale,trans=trans)
end if
if(info /= psb_success_) then
info = psb_err_from_subroutine_
ch_err='dcssm'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
! update overlap elements
if (choice_ > 0) then
call psi_swapdata(ior(psb_swap_send_,psb_swap_recv_),&
& done,y%v,desc_a,iwork,info,data=psb_comm_ovr_)
if (info == psb_success_) call psi_ovrl_upd(y%v,desc_a,choice_,info)
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner updates')
goto 9999
end if
end if
if (aliw) deallocate(iwork)
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(ictxt,err_act)
return
end subroutine psb_dspsv_vect
!
! Subroutine: psb_dspsm
! Performs one of the distributed matrix-vector operations
!
! sub( Y ) := alpha * Pr * A-1 * Pc *sub( X ) + beta * sub (Y ), or
!
! sub( Y ) := alpha * D * Pr * A-1 * Pc * sub( X ) + beta * sub (Y ), or
!
! sub( Y ) := alpha * Pr * A-1 * Pc * D * sub( X ) + beta * sub (Y ), or
!
! sub( Y ) := alpha * Pr * A-T * Pc * sub( X ) + beta * sub (Y ), or
!
! sub( Y ) := alpha * D * Pr * A-T * Pc * sub( X ) + beta * sub (Y ), or
!
! sub( Y ) := alpha * Pr * A-T * Pc * D * sub( X ) + beta * sub (Y ), or
!
! where :
!
! sub( X ) denotes X(1:M,JX:JX+K-1),
!
! sub( Y ) denotes Y(1:M,JY:JY+K-1).
!
! sub( X ) is a distributed
! vector and T is a M-by-M distributed triangular matrix.
!
! Arguments:
! alpha - real. The scalar alpha.
! a - type(psb_dspmat_type). The sparse matrix containing A.
! x(:,:) - real The input vector containing the entries of ( X ).
! beta - real The scalar beta.
! y(:,:) - real The input vector containing the entries of ( Y ).
! desc_a - type(psb_desc_type). The communication descriptor.
! info - integer. Return code
! trans - character(optional). Whether A or A'. If not present 'N' is assumed.
! scale - character(optional). Specify some type of operation with
! the diagonal matrix D.
! choice - integer(optional). The kind of update to perform on overlap elements.
! d(:) - real, optional Matrix for diagonal scaling.
! k - integer(optional). The number of right-hand sides.
! jx - integer(optional). The column offset for ( X ). Default: 1
! jy - integer(optional). The column offset for ( Y ). Default: 1
! work(:) - real, optional Working area.
!
subroutine psb_dspsm(alpha,a,x,beta,y,desc_a,info,&
& trans, scale, choice, diag, k, jx, jy, work)
use psb_base_mod, psb_protect_name => psb_dspsm
use psi_mod
implicit none
real(psb_dpk_), intent(in) :: alpha, beta
real(psb_dpk_), intent(in), target :: x(:,:)
real(psb_dpk_), intent(inout), target :: y(:,:)
type (psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
integer(psb_ipk_), intent(out) :: info
real(psb_dpk_), intent(in), optional, target :: diag(:)
real(psb_dpk_), optional, target, intent(inout) :: work(:)
character, intent(in), optional :: trans, scale
integer(psb_ipk_), intent(in), optional :: choice
integer(psb_ipk_), intent(in), optional :: k, jx, jy
! locals
integer(psb_ipk_) :: ictxt, np, me,&
& err_act, iix, jjx, iia, jja, lldx,lldy, choice_,&
& ik, i, lld, nrow, ncol, liwork, llwork, iiy, jjy, idx, ndm
integer(psb_lpk_) :: ix, ijx, iy, ijy, m, n, ia, ja, lik
character :: lscale
integer(psb_ipk_), parameter :: nb=4
real(psb_dpk_),pointer :: iwork(:), xp(:,:), yp(:,:), id(:)
character :: itrans
character(len=20) :: name, ch_err
logical :: aliw
name='psb_dspsm'
info=psb_success_
call psb_erractionsave(err_act)
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_ ; goto 9999
end if
ictxt=desc_a%get_context()
call psb_info(ictxt, me, np)
if (np == -1) then
info = psb_err_context_error_
call psb_errpush(info,name)
goto 9999
endif
! just this case right now
ia = 1
ja = 1
ix = 1
if (present(jx)) then
ijx = jx
else
ijx = 1
endif
iy = 1
if (present(jy)) then
ijy = jy
else
ijy = 1
endif
if (present(k)) then
lik = min(k,size(x,2)-ijx+1)
lik = min(lik,size(y,2)-ijy+1)
else
lik = min(size(x,2)-ijx+1,size(y,2)-ijy+1)
endif
if (present(choice)) then
choice_ = choice
else
choice_ = psb_avg_
endif
if (present(scale)) then
lscale = psb_toupper(scale)
else
lscale = 'U'
endif
if (present(trans)) then
itrans = psb_toupper(trans)
if((itrans == 'N').or.(itrans == 'T').or. (itrans == 'C')) then
! OK
else
info = psb_err_iarg_invalid_value_
call psb_errpush(info,name)
goto 9999
end if
else
itrans = 'N'
endif
m = desc_a%get_global_rows()
nrow = desc_a%get_local_rows()
ncol = desc_a%get_local_cols()
lldx = size(x,1)
lldy = size(y,1)
if((lldx < ncol).or.(lldy < ncol)) then
info=psb_err_lld_case_not_implemented_
call psb_errpush(info,name)
goto 9999
end if
! check for presence/size of a work area
iwork => null()
liwork= 2*ncol
if (present(work)) then
if (size(work) >= liwork) then
aliw =.false.
else
aliw=.true.
endif
else
aliw=.true.
end if
if (aliw) then
allocate(iwork(liwork),stat=info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_realloc'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
else
iwork => work
endif
iwork(1)=0.d0
if(present(diag)) then
lld = size(diag)
id => diag
else
lld=1
allocate(id(1))
id=1.d0
end if
! checking for matrix correctness
call psb_chkmat(m,m,ia,ja,desc_a,info,iia,jja)
! checking for vectors correctness
if (info == psb_success_) &
& call psb_chkvect(m,lik,lldx,ix,ijx,desc_a,info,iix,jjx,check_halo=.true.)
if (info == psb_success_) &
& call psb_chkvect(m,lik,lldy,iy,ijy,desc_a,info,iiy,jjy,check_halo=.true.)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_chkvect/mat'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if(ja /= ix) then
! this case is not yet implemented
info = psb_err_ja_nix_ia_niy_unsupported_
end if
if((iix /= 1).or.(iiy /= 1)) then
! this case is not yet implemented
info = psb_err_ix_n1_iy_n1_unsupported_
end if
if(info /= psb_success_) then
call psb_errpush(info,name)
goto 9999
end if
ik = lik ! This should not be a problem.
! We expect ik to be small, well within IPK
! Perform local triangular system solve
xp => x(iix:lldx,jjx:jjx+ik-1)
yp => y(iiy:lldy,jjy:jjy+ik-1)
call psb_cssm(alpha,a,xp,beta,yp,info,scale=scale,d=diag,trans=trans)
if(info /= psb_success_) then
info = psb_err_from_subroutine_
ch_err='cssm'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
! update overlap elements
if (choice_ > 0) then
call psi_swapdata(ior(psb_swap_send_,psb_swap_recv_),ik,&
& done,yp,desc_a,iwork,info,data=psb_comm_ovr_)
if (info == psb_success_) call psi_ovrl_upd(yp,desc_a,choice_,info)
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner updates')
goto 9999
end if
end if
if(aliw) deallocate(iwork)
if(.not.present(diag)) deallocate(id)
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(ictxt,err_act)
return
end subroutine psb_dspsm
!
! Subroutine: psb_dspsv
! Performs one of the distributed matrix-vector operations
!
! Y := alpha * Pr * A-1 * Pc * X + beta * Y, or
!
! Y := alpha * D * Pr * A-1 * Pc * X + beta * Y, or
!
! Y := alpha * Pr * A-1 * Pc * D * X + beta * Y, or
!
! Y := alpha * Pr * A-T * Pc * X + beta * Y, or
!
! Y := alpha * D * Pr * A-T * Pc * X + beta * Y, or
!
! Y := alpha * Pr * A-T * Pc * D * X + beta * Y, or
!
! X is a distributed
! vector and T is a M-by-M distributed triangular matrix.
!
!
! Arguments:
! alpha - real. The scalar alpha.
! a - type(psb_dspmat_type). The sparse matrix containing A.
! x(:) - real The input vector containing the entries of ( X ).
! beta - real The scalar beta.
! y(:) - real The input vector containing the entries of ( Y ).
! desc_a - type(psb_desc_type). The communication descriptor.
! info - integer. Return code
! trans - character(optional). Whether A or A'. If not present 'N' is assumed.
! scale - character(optional). Specify some type of operation with
! the diagonal matrix D.
! choice - integer(optional). The kind of update to perform on overlap elements.
! d(:) - real, optional Matrix for diagonal scaling.
! work(:) - real, optional Working area.
!
subroutine psb_dspsv(alpha,a,x,beta,y,desc_a,info,&
& trans, scale, choice, diag, work)
use psb_base_mod, psb_protect_name => psb_dspsv
use psi_mod
implicit none
real(psb_dpk_), intent(in) :: alpha, beta
real(psb_dpk_), intent(in), target :: x(:)
real(psb_dpk_), intent(inout), target :: y(:)
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
integer(psb_ipk_), intent(out) :: info
real(psb_dpk_), intent(in), optional, target :: diag(:)
real(psb_dpk_), optional, target, intent(inout) :: work(:)
character, intent(in), optional :: trans, scale
integer(psb_ipk_), intent(in), optional :: choice
! locals
integer(psb_ipk_) :: ictxt, np, me, &
& err_act, iix, jjx, iia, jja, lldx,lldy, choice_,&
& ik, i, lld, nrow, ncol, liwork, llwork, iiy, jjy, idx, ndm
integer(psb_lpk_) :: ix, ijx, iy, ijy, m, n, ia, ja, lik, jx, jy
character :: lscale
integer(psb_ipk_), parameter :: nb=4
real(psb_dpk_),pointer :: iwork(:), xp(:), yp(:), id(:)
character :: itrans
character(len=20) :: name, ch_err
logical :: aliw
name='psb_dspsv'
info=psb_success_
call psb_erractionsave(err_act)
if (psb_errstatus_fatal()) then
info = psb_err_internal_error_ ; goto 9999
end if
ictxt=desc_a%get_context()
call psb_info(ictxt, me, np)
if (np == -1) then
info = psb_err_context_error_
call psb_errpush(info,name)
goto 9999
endif
! just this case right now
ia = 1
ja = 1
ix = 1
iy = 1
lik = 1
ik = 1
jx = 1
jy = 1
if (present(choice)) then
choice_ = choice
else
choice_ = psb_avg_
endif
if (present(scale)) then
lscale = psb_toupper(scale)
else
lscale = 'U'
endif
if (present(trans)) then
itrans = psb_toupper(trans)
if((itrans == 'N').or.(itrans == 'T').or.(itrans == 'C')) then
! Ok
else
info = psb_err_iarg_invalid_value_
call psb_errpush(info,name)
goto 9999
end if
else
itrans = 'N'
endif
m = desc_a%get_global_rows()
nrow = desc_a%get_local_rows()
ncol = desc_a%get_local_cols()
lldx = size(x)
lldy = size(y)
if((lldx < ncol).or.(lldy < ncol)) then
info=psb_err_lld_case_not_implemented_
call psb_errpush(info,name)
goto 9999
end if
iwork => null()
! check for presence/size of a work area
liwork= 2*ncol
if (present(work)) then
if (size(work) >= liwork) then
aliw =.false.
else
aliw=.true.
endif
else
aliw=.true.
end if
if (aliw) then
allocate(iwork(liwork),stat=info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_realloc'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
else
iwork => work
endif
iwork(1)=0.d0
if(present(diag)) then
lld = size(diag)
id => diag
else
lld=1
allocate(id(1))
id=1.d0
end if
! checking for matrix correctness
call psb_chkmat(m,m,ia,ja,desc_a,info,iia,jja)
! checking for vectors correctness
if (info == psb_success_) &
& call psb_chkvect(m,lik,lldx,ix,jx,desc_a,info,iix,jjx,check_halo=.true.)
if (info == psb_success_) &
& call psb_chkvect(m,lik,lldy,iy,jy,desc_a,info,iiy,jjy,check_halo=.true.)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_chkvect/mat'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if(ja /= ix) then
! this case is not yet implemented
info = psb_err_ja_nix_ia_niy_unsupported_
end if
if((iix /= 1).or.(iiy /= 1)) then
! this case is not yet implemented
info = psb_err_ix_n1_iy_n1_unsupported_
end if
if(info /= psb_success_) then
call psb_errpush(info,name)
goto 9999
end if
! Perform local triangular system solve
xp => x(iix:lldx)
yp => y(iiy:lldy)
call psb_cssm(alpha,a,xp,beta,yp,info,scale=scale,d=diag,trans=trans)
if(info /= psb_success_) then
info = psb_err_from_subroutine_
ch_err='dcssm'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
! update overlap elements
if(choice_ > 0) then
call psi_swapdata(ior(psb_swap_send_,psb_swap_recv_),&
& done,yp,desc_a,iwork,info,data=psb_comm_ovr_)
if (info == psb_success_) call psi_ovrl_upd(yp,desc_a,choice_,info)
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner updates')
goto 9999
end if
end if
if (aliw) deallocate(iwork)
if(.not.present(diag)) deallocate(id)
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(ictxt,err_act)
return
end subroutine psb_dspsv