You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
771 lines
24 KiB
Fortran
771 lines
24 KiB
Fortran
!
|
|
! Parallel Sparse BLAS version 3.5.1
|
|
! (C) Copyright 2015
|
|
! 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: ppde.f90
|
|
!
|
|
module psb_d_pde3d_mod
|
|
|
|
|
|
use psb_base_mod, only : psb_dpk_, psb_ipk_, psb_lpk_, psb_desc_type,&
|
|
& psb_dspmat_type, psb_d_vect_type, dzero,&
|
|
& psb_d_base_sparse_mat, psb_d_base_vect_type, &
|
|
& psb_i_base_vect_type, psb_l_base_vect_type
|
|
|
|
interface
|
|
function d_func_3d(x,y,z) result(val)
|
|
import :: psb_dpk_
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
real(psb_dpk_) :: val
|
|
end function d_func_3d
|
|
end interface
|
|
|
|
interface psb_gen_pde3d
|
|
module procedure psb_d_gen_pde3d
|
|
end interface psb_gen_pde3d
|
|
|
|
contains
|
|
|
|
function d_null_func_3d(x,y,z) result(val)
|
|
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
real(psb_dpk_) :: val
|
|
|
|
val = dzero
|
|
|
|
end function d_null_func_3d
|
|
!
|
|
! functions parametrizing the differential equation
|
|
!
|
|
|
|
!
|
|
! Note: b1, b2 and b3 are the coefficients of the first
|
|
! derivative of the unknown function. The default
|
|
! we apply here is to have them zero, so that the resulting
|
|
! matrix is symmetric/hermitian and suitable for
|
|
! testing with CG and FCG.
|
|
! When testing methods for non-hermitian matrices you can
|
|
! change the B1/B2/B3 functions to e.g. done/sqrt((3*done))
|
|
!
|
|
function b1(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: b1
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b1=dzero
|
|
end function b1
|
|
function b2(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: b2
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b2=dzero
|
|
end function b2
|
|
function b3(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: b3
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b3=dzero
|
|
end function b3
|
|
function c(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: c
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
c=dzero
|
|
end function c
|
|
function a1(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: a1
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a1=done/80
|
|
end function a1
|
|
function a2(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: a2
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a2=done/80
|
|
end function a2
|
|
function a3(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: a3
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a3=done/80
|
|
end function a3
|
|
function g(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_, done, dzero
|
|
implicit none
|
|
real(psb_dpk_) :: g
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
g = dzero
|
|
if (x == done) then
|
|
g = done
|
|
else if (x == dzero) then
|
|
g = exp(y**2-z**2)
|
|
end if
|
|
end function g
|
|
|
|
|
|
!
|
|
! subroutine to allocate and fill in the coefficient matrix and
|
|
! the rhs.
|
|
!
|
|
subroutine psb_d_gen_pde3d(ctxt,idim,a,bv,xv,desc_a,afmt,info,&
|
|
& f,amold,vmold,imold,partition,nrl,iv)
|
|
use psb_base_mod
|
|
use psb_util_mod
|
|
!
|
|
! Discretizes the partial differential equation
|
|
!
|
|
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
|
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
|
! dxdx dydy dzdz dx dy dz
|
|
!
|
|
! with Dirichlet boundary conditions
|
|
! u = g
|
|
!
|
|
! on the unit cube 0<=x,y,z<=1.
|
|
!
|
|
!
|
|
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
|
!
|
|
implicit none
|
|
integer(psb_ipk_) :: idim
|
|
type(psb_dspmat_type) :: a
|
|
type(psb_d_vect_type) :: xv,bv
|
|
type(psb_desc_type) :: desc_a
|
|
type(psb_ctxt_type) :: ctxt
|
|
integer(psb_ipk_) :: info
|
|
character(len=*) :: afmt
|
|
procedure(d_func_3d), optional :: f
|
|
class(psb_d_base_sparse_mat), optional :: amold
|
|
class(psb_d_base_vect_type), optional :: vmold
|
|
class(psb_i_base_vect_type), optional :: imold
|
|
integer(psb_ipk_), optional :: partition, nrl,iv(:)
|
|
|
|
! Local variables.
|
|
|
|
integer(psb_ipk_), parameter :: nb=20
|
|
type(psb_d_csc_sparse_mat) :: acsc
|
|
type(psb_d_coo_sparse_mat) :: acoo
|
|
type(psb_d_csr_sparse_mat) :: acsr
|
|
real(psb_dpk_) :: zt(nb),x,y,z
|
|
integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
|
|
integer(psb_lpk_) :: m,n,glob_row,nt
|
|
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
|
! For 3D partition
|
|
! Note: integer control variables going directly into an MPI call
|
|
! must be 4 bytes, i.e. psb_mpk_
|
|
integer(psb_mpk_) :: npdims(3), npp, minfo
|
|
integer(psb_ipk_) :: npx,npy,npz, iamx,iamy,iamz,mynx,myny,mynz
|
|
integer(psb_ipk_), allocatable :: bndx(:),bndy(:),bndz(:)
|
|
! Process grid
|
|
integer(psb_ipk_) :: np, iam
|
|
integer(psb_ipk_) :: icoeff
|
|
integer(psb_lpk_), allocatable :: irow(:),icol(:),myidx(:)
|
|
real(psb_dpk_), allocatable :: val(:)
|
|
! deltah dimension of each grid cell
|
|
! deltat discretization time
|
|
real(psb_dpk_) :: deltah, sqdeltah, deltah2
|
|
real(psb_dpk_), parameter :: rhs=dzero,one=done,zero=dzero
|
|
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
|
integer(psb_ipk_) :: err_act
|
|
procedure(d_func_3d), pointer :: f_
|
|
character(len=20) :: name, ch_err,tmpfmt
|
|
|
|
info = psb_success_
|
|
name = 'create_matrix'
|
|
call psb_erractionsave(err_act)
|
|
|
|
call psb_info(ctxt, iam, np)
|
|
|
|
|
|
if (present(f)) then
|
|
f_ => f
|
|
else
|
|
f_ => d_null_func_3d
|
|
end if
|
|
|
|
deltah = done/(idim+1)
|
|
sqdeltah = deltah*deltah
|
|
deltah2 = (2*done)* deltah
|
|
|
|
if (present(partition)) then
|
|
if ((1<= partition).and.(partition <= 3)) then
|
|
partition_ = partition
|
|
else
|
|
write(*,*) 'Invalid partition choice ',partition,' defaulting to 3'
|
|
partition_ = 3
|
|
end if
|
|
else
|
|
partition_ = 3
|
|
end if
|
|
|
|
! initialize array descriptor and sparse matrix storage. provide an
|
|
! estimate of the number of non zeroes
|
|
|
|
m = (1_psb_lpk_*idim)*idim*idim
|
|
n = m
|
|
nnz = ((n*7)/(np))
|
|
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
|
t0 = psb_wtime()
|
|
select case(partition_)
|
|
case(1)
|
|
! A BLOCK partition
|
|
if (present(nrl)) then
|
|
nr = nrl
|
|
else
|
|
!
|
|
! Using a simple BLOCK distribution.
|
|
!
|
|
nt = (m+np-1)/np
|
|
nr = max(0,min(nt,m-(iam*nt)))
|
|
end if
|
|
|
|
nt = nr
|
|
call psb_sum(ctxt,nt)
|
|
if (nt /= m) then
|
|
write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
|
info = -1
|
|
call psb_barrier(ctxt)
|
|
call psb_abort(ctxt)
|
|
return
|
|
end if
|
|
|
|
!
|
|
! First example of use of CDALL: specify for each process a number of
|
|
! contiguous rows
|
|
!
|
|
call psb_cdall(ctxt,desc_a,info,nl=nr)
|
|
myidx = desc_a%get_global_indices()
|
|
nlr = size(myidx)
|
|
|
|
case(2)
|
|
! A partition defined by the user through IV
|
|
|
|
if (present(iv)) then
|
|
if (size(iv) /= m) then
|
|
write(psb_err_unit,*) iam, 'Initialization error: wrong IV size',size(iv),m
|
|
info = -1
|
|
call psb_barrier(ctxt)
|
|
call psb_abort(ctxt)
|
|
return
|
|
end if
|
|
else
|
|
write(psb_err_unit,*) iam, 'Initialization error: IV not present'
|
|
info = -1
|
|
call psb_barrier(ctxt)
|
|
call psb_abort(ctxt)
|
|
return
|
|
end if
|
|
|
|
!
|
|
! Second example of use of CDALL: specify for each row the
|
|
! process that owns it
|
|
!
|
|
call psb_cdall(ctxt,desc_a,info,vg=iv)
|
|
myidx = desc_a%get_global_indices()
|
|
nlr = size(myidx)
|
|
|
|
case(3)
|
|
! A 3-dimensional partition
|
|
|
|
! A nifty MPI function will split the process list
|
|
npdims = 0
|
|
call mpi_dims_create(np,3,npdims,info)
|
|
npx = npdims(1)
|
|
npy = npdims(2)
|
|
npz = npdims(3)
|
|
|
|
allocate(bndx(0:npx),bndy(0:npy),bndz(0:npz))
|
|
! We can reuse idx2ijk for process indices as well.
|
|
call idx2ijk(iamx,iamy,iamz,iam,npx,npy,npz,base=0)
|
|
! Now let's split the 3D cube in hexahedra
|
|
call dist1Didx(bndx,idim,npx)
|
|
mynx = bndx(iamx+1)-bndx(iamx)
|
|
call dist1Didx(bndy,idim,npy)
|
|
myny = bndy(iamy+1)-bndy(iamy)
|
|
call dist1Didx(bndz,idim,npz)
|
|
mynz = bndz(iamz+1)-bndz(iamz)
|
|
|
|
! How many indices do I own?
|
|
nlr = mynx*myny*mynz
|
|
allocate(myidx(nlr))
|
|
! Now, let's generate the list of indices I own
|
|
nr = 0
|
|
do i=bndx(iamx),bndx(iamx+1)-1
|
|
do j=bndy(iamy),bndy(iamy+1)-1
|
|
do k=bndz(iamz),bndz(iamz+1)-1
|
|
nr = nr + 1
|
|
call ijk2idx(myidx(nr),i,j,k,idim,idim,idim)
|
|
end do
|
|
end do
|
|
end do
|
|
if (nr /= nlr) then
|
|
write(psb_err_unit,*) iam,iamx,iamy,iamz, 'Initialization error: NR vs NLR ',&
|
|
& nr,nlr,mynx,myny,mynz
|
|
info = -1
|
|
call psb_barrier(ctxt)
|
|
call psb_abort(ctxt)
|
|
end if
|
|
|
|
!
|
|
! Third example of use of CDALL: specify for each process
|
|
! the set of global indices it owns.
|
|
!
|
|
call psb_cdall(ctxt,desc_a,info,vl=myidx)
|
|
|
|
case default
|
|
write(psb_err_unit,*) iam, 'Initialization error: should not get here'
|
|
info = -1
|
|
call psb_barrier(ctxt)
|
|
call psb_abort(ctxt)
|
|
return
|
|
end select
|
|
|
|
|
|
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
|
! define rhs from boundary conditions; also build initial guess
|
|
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
|
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
|
|
|
call psb_barrier(ctxt)
|
|
talc = psb_wtime()-t0
|
|
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='allocation rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
! we build an auxiliary matrix consisting of one row at a
|
|
! time; just a small matrix. might be extended to generate
|
|
! a bunch of rows per call.
|
|
!
|
|
allocate(val(20*nb),irow(20*nb),&
|
|
&icol(20*nb),stat=info)
|
|
if (info /= psb_success_ ) then
|
|
info=psb_err_alloc_dealloc_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
endif
|
|
|
|
|
|
! loop over rows belonging to current process in a block
|
|
! distribution.
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
do ii=1, nlr,nb
|
|
ib = min(nb,nlr-ii+1)
|
|
icoeff = 1
|
|
do k=1,ib
|
|
i=ii+k-1
|
|
! local matrix pointer
|
|
glob_row=myidx(i)
|
|
! compute gridpoint coordinates
|
|
call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
|
|
! x, y, z coordinates
|
|
x = (ix-1)*deltah
|
|
y = (iy-1)*deltah
|
|
z = (iz-1)*deltah
|
|
zt(k) = f_(x,y,z)
|
|
! internal point: build discretization
|
|
!
|
|
! term depending on (x-1,y,z)
|
|
!
|
|
val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
|
|
if (ix == 1) then
|
|
zt(k) = g(dzero,y,z)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x,y-1,z)
|
|
val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
|
|
if (iy == 1) then
|
|
zt(k) = g(x,dzero,z)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x,y,z-1)
|
|
val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
|
|
if (iz == 1) then
|
|
zt(k) = g(x,y,dzero)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
|
|
! term depending on (x,y,z)
|
|
val(icoeff)=(2*done)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
|
|
& + c(x,y,z)
|
|
call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
! term depending on (x,y,z+1)
|
|
val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
|
|
if (iz == idim) then
|
|
zt(k) = g(x,y,done)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x,y+1,z)
|
|
val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
|
|
if (iy == idim) then
|
|
zt(k) = g(x,done,z)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x+1,y,z)
|
|
val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
|
|
if (ix==idim) then
|
|
zt(k) = g(done,y,z)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
|
|
end do
|
|
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
|
if(info /= psb_success_) exit
|
|
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
|
if(info /= psb_success_) exit
|
|
zt(:)=dzero
|
|
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
|
if(info /= psb_success_) exit
|
|
end do
|
|
|
|
tgen = psb_wtime()-t1
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='insert rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
deallocate(val,irow,icol)
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_cdasb(desc_a,info,mold=imold)
|
|
tcdasb = psb_wtime()-t1
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
if (info == psb_success_) then
|
|
if (present(amold)) then
|
|
call psb_spasb(a,desc_a,info,mold=amold)
|
|
else
|
|
call psb_spasb(a,desc_a,info,afmt=afmt)
|
|
end if
|
|
end if
|
|
call psb_barrier(ctxt)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='asb rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
if (info == psb_success_) call psb_geasb(xv,desc_a,info,mold=vmold)
|
|
if (info == psb_success_) call psb_geasb(bv,desc_a,info,mold=vmold)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='asb rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
tasb = psb_wtime()-t1
|
|
call psb_barrier(ctxt)
|
|
ttot = psb_wtime() - t0
|
|
|
|
call psb_amx(ctxt,talc)
|
|
call psb_amx(ctxt,tgen)
|
|
call psb_amx(ctxt,tasb)
|
|
call psb_amx(ctxt,ttot)
|
|
if(iam == psb_root_) then
|
|
tmpfmt = a%get_fmt()
|
|
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
|
& tmpfmt
|
|
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
|
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
|
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
|
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
|
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
|
|
|
end if
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(ctxt,err_act)
|
|
|
|
return
|
|
end subroutine psb_d_gen_pde3d
|
|
|
|
|
|
end module psb_d_pde3d_mod
|
|
|
|
program pdgenspmv
|
|
use psb_base_mod
|
|
use psb_util_mod
|
|
use psb_d_pde3d_mod
|
|
implicit none
|
|
|
|
! input parameters
|
|
character(len=20) :: kmethd, ptype
|
|
character(len=5) :: afmt
|
|
integer(psb_ipk_) :: idim
|
|
|
|
! miscellaneous
|
|
real(psb_dpk_), parameter :: one = done
|
|
real(psb_dpk_) :: t1, t2, tprec, flops, tflops, tt1, tt2, bdwdth
|
|
|
|
! sparse matrix and preconditioner
|
|
type(psb_dspmat_type) :: a
|
|
! descriptor
|
|
type(psb_desc_type) :: desc_a
|
|
! dense matrices
|
|
type(psb_d_vect_type) :: xv,bv, vtst
|
|
real(psb_dpk_), allocatable :: tst(:)
|
|
! blacs parameters
|
|
type(psb_ctxt_type) :: ctxt
|
|
integer(psb_ipk_) :: iam, np
|
|
|
|
! solver parameters
|
|
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nr, ipart
|
|
integer(psb_epk_) :: amatsize, precsize, descsize, d2size, annz, nbytes
|
|
real(psb_dpk_) :: err, eps
|
|
integer(psb_ipk_), parameter :: times=20
|
|
|
|
! other variables
|
|
integer(psb_ipk_) :: info, i
|
|
character(len=20) :: name,ch_err
|
|
character(len=40) :: fname
|
|
|
|
info=psb_success_
|
|
|
|
|
|
call psb_init(ctxt)
|
|
call psb_info(ctxt,iam,np)
|
|
|
|
if (iam < 0) then
|
|
! This should not happen, but just in case
|
|
call psb_exit(ctxt)
|
|
stop
|
|
endif
|
|
if(psb_get_errstatus() /= 0) goto 9999
|
|
name='pde90'
|
|
call psb_set_errverbosity(itwo)
|
|
!
|
|
! Hello world
|
|
!
|
|
if (iam == psb_root_) then
|
|
write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
|
|
write(*,*) 'This is the ',trim(name),' sample program'
|
|
end if
|
|
!
|
|
! get parameters
|
|
!
|
|
call get_parms(ctxt,afmt,idim)
|
|
|
|
!
|
|
! allocate and fill in the coefficient matrix, rhs and initial guess
|
|
!
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_gen_pde3d(ctxt,idim,a,bv,xv,desc_a,afmt,info)
|
|
call psb_barrier(ctxt)
|
|
t2 = psb_wtime() - t1
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='psb_gen_pde3d'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
if (iam == psb_root_) write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
|
|
if (iam == psb_root_) write(psb_out_unit,'(" ")')
|
|
|
|
call xv%set(done)
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
!
|
|
! Perform Ax multiple times to compute average performance
|
|
!
|
|
do i=1,times
|
|
call psb_spmm(done,a,xv,dzero,bv,desc_a,info,'n')
|
|
end do
|
|
call psb_barrier(ctxt)
|
|
t2 = psb_wtime() - t1
|
|
call psb_amx(ctxt,t2)
|
|
|
|
! FIXME: cache flush needed here
|
|
call psb_barrier(ctxt)
|
|
tt1 = psb_wtime()
|
|
!
|
|
! Perform A^Tx multiple times to compute average performance
|
|
!
|
|
do i=1,times
|
|
call psb_spmm(done,a,xv,dzero,bv,desc_a,info,'t')
|
|
end do
|
|
call psb_barrier(ctxt)
|
|
tt2 = psb_wtime() - tt1
|
|
call psb_amx(ctxt,tt2)
|
|
|
|
call psb_amx(ctxt,t2)
|
|
nr = desc_a%get_global_rows()
|
|
annz = a%get_nzeros()
|
|
amatsize = a%sizeof()
|
|
descsize = psb_sizeof(desc_a)
|
|
call psb_sum(ctxt,annz)
|
|
call psb_sum(ctxt,amatsize)
|
|
call psb_sum(ctxt,descsize)
|
|
|
|
if (iam == psb_root_) then
|
|
flops = 2.d0*times*annz
|
|
tflops=flops
|
|
write(psb_out_unit,'("Matrix: ell1 ",i0)') idim
|
|
write(psb_out_unit,'("Test on : ",i20," processors")') np
|
|
write(psb_out_unit,'("Size of matrix : ",i20," ")') nr
|
|
write(psb_out_unit,'("Number of nonzeros : ",i20," ")') annz
|
|
write(psb_out_unit,'("Memory occupation : ",i20," ")') amatsize
|
|
write(psb_out_unit,'("Number of flops (",i0," prod) : ",F20.0," ")') times,flops
|
|
flops = flops / (t2)
|
|
tflops = tflops / (tt2)
|
|
write(psb_out_unit,'("Time for ",i0," products (s) : ",F20.3)')times, t2
|
|
write(psb_out_unit,'("Time per product (ms) : ",F20.3)') t2*1.d3/(1.d0*times)
|
|
write(psb_out_unit,'("MFLOPS : ",F20.3)') flops/1.d6
|
|
|
|
write(psb_out_unit,'("Time for ",i0," products (s) (trans.): ",F20.3)') times,tt2
|
|
write(psb_out_unit,'("Time per product (ms) (trans.): ",F20.3)') tt2*1.d3/(1.d0*times)
|
|
write(psb_out_unit,'("MFLOPS (trans.): ",F20.3)') tflops/1.d6
|
|
|
|
!
|
|
! This computation is valid for CSR
|
|
!
|
|
nbytes = nr*(2*psb_sizeof_dp + psb_sizeof_ip)+&
|
|
& annz*(psb_sizeof_dp + psb_sizeof_ip)
|
|
bdwdth = times*nbytes/(t2*1.d6)
|
|
write(psb_out_unit,*)
|
|
write(psb_out_unit,'("MBYTES/S : ",F20.3)') bdwdth
|
|
bdwdth = times*nbytes/(tt2*1.d6)
|
|
write(psb_out_unit,'("MBYTES/S (trans): ",F20.3)') bdwdth
|
|
write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%get_fmt()
|
|
write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
|
|
|
|
end if
|
|
|
|
|
|
!
|
|
! cleanup storage and exit
|
|
!
|
|
call psb_gefree(bv,desc_a,info)
|
|
call psb_gefree(xv,desc_a,info)
|
|
call psb_spfree(a,desc_a,info)
|
|
call psb_cdfree(desc_a,info)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='free routine'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_exit(ctxt)
|
|
stop
|
|
|
|
9999 call psb_error(ctxt)
|
|
|
|
stop
|
|
|
|
contains
|
|
!
|
|
! get iteration parameters from standard input
|
|
!
|
|
subroutine get_parms(ctxt,afmt,idim)
|
|
type(psb_ctxt_type) :: ctxt
|
|
character(len=*) :: afmt
|
|
integer(psb_ipk_) :: idim
|
|
integer(psb_ipk_) :: np, iam
|
|
integer(psb_ipk_) :: intbuf(10), ip
|
|
|
|
call psb_info(ctxt, iam, np)
|
|
|
|
if (iam == 0) then
|
|
read(psb_inp_unit,*) afmt
|
|
read(psb_inp_unit,*) idim
|
|
endif
|
|
call psb_bcast(ctxt,afmt)
|
|
call psb_bcast(ctxt,idim)
|
|
|
|
if (iam == 0) then
|
|
write(psb_out_unit,'("Testing matrix : ell1")')
|
|
write(psb_out_unit,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
|
|
write(psb_out_unit,'("Number of processors : ",i0)')np
|
|
write(psb_out_unit,'("Data distribution : BLOCK")')
|
|
write(psb_out_unit,'(" ")')
|
|
end if
|
|
return
|
|
|
|
end subroutine get_parms
|
|
!
|
|
! print an error message
|
|
!
|
|
subroutine pr_usage(iout)
|
|
integer(psb_ipk_) :: iout
|
|
write(iout,*)'incorrect parameter(s) found'
|
|
write(iout,*)' usage: pde90 methd prec dim &
|
|
&[istop itmax itrace]'
|
|
write(iout,*)' where:'
|
|
write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
|
|
write(iout,*)' prec : bjac diag none'
|
|
write(iout,*)' dim number of points along each axis'
|
|
write(iout,*)' the size of the resulting linear '
|
|
write(iout,*)' system is dim**3'
|
|
write(iout,*)' istop stopping criterion 1, 2 '
|
|
write(iout,*)' itmax maximum number of iterations [500] '
|
|
write(iout,*)' itrace <=0 (no tracing, default) or '
|
|
write(iout,*)' >= 1 do tracing every itrace'
|
|
write(iout,*)' iterations '
|
|
end subroutine pr_usage
|
|
end program pdgenspmv
|