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.
345 lines
11 KiB
Fortran
345 lines
11 KiB
Fortran
!!$
|
|
!!$ Parallel Sparse BLAS version 3.1
|
|
!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012, 2013
|
|
!!$ Salvatore Filippone University of Rome Tor Vergata
|
|
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
|
!!$
|
|
!!$ 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.
|
|
!!$
|
|
!!$
|
|
program arnoldi_file
|
|
use psb_base_mod
|
|
use psb_util_mod
|
|
implicit none
|
|
|
|
! input parameters
|
|
character(len=40) :: kmethd, ptype, mtrx_file, rhs_file
|
|
|
|
! sparse matrices
|
|
type(psb_zspmat_type) :: a, aux_a
|
|
|
|
! dense matrices
|
|
complex(psb_dpk_), allocatable, target :: aux_b(:,:), d(:)
|
|
complex(psb_dpk_), allocatable , save :: x_col_glob(:), r_col_glob(:)
|
|
complex(psb_dpk_), allocatable, target :: H(:,:),eig(:),work(:),Z(:,:)
|
|
integer, allocatable :: indexes(:)
|
|
type(psb_z_vect_type), allocatable, target :: V(:)
|
|
complex(psb_dpk_), pointer :: b_col_glob(:)
|
|
type(psb_z_vect_type) :: b_col, x_col, r_col
|
|
|
|
|
|
! communications data structure
|
|
type(psb_desc_type):: desc_a
|
|
|
|
integer(psb_ipk_) :: ictxt, iam, np
|
|
|
|
! solver paramters
|
|
integer(psb_ipk_) :: iter, itmax, ierr, itrace, ircode, ipart,&
|
|
& methd, istopc, irst, nr
|
|
integer(psb_long_int_k_) :: amatsize, descsize, annz, nbytes
|
|
real(psb_dpk_) :: err, eps,cond
|
|
|
|
character(len=5) :: afmt
|
|
character(len=20) :: name
|
|
character(len=2) :: filefmt
|
|
integer(psb_ipk_), parameter :: iunit=12
|
|
integer(psb_ipk_) :: times=0
|
|
integer(psb_ipk_) :: iparm(20)
|
|
|
|
! other variables
|
|
integer(psb_ipk_) :: i,info,j,m_problem
|
|
integer(psb_ipk_) :: internal, m,ii,nnzero, dim_H, alloc_stat
|
|
real(psb_dpk_) :: t1, t2, r_amax, b_amax,&
|
|
&scale,resmx,resmxp, flops, bdwdth
|
|
real(psb_dpk_) :: tt1, tt2, tflops
|
|
real (psb_dpk_) :: norm
|
|
complex (psb_dpk_) :: dotprod
|
|
integer(psb_ipk_) :: nrhs, nrow, n_row, nv, ne
|
|
integer(psb_ipk_), allocatable :: ivg(:), ipv(:)
|
|
|
|
|
|
call psb_init(ictxt)
|
|
call psb_info(ictxt,iam,np)
|
|
|
|
if (iam < 0) then
|
|
! This should not happen, but just in case
|
|
call psb_exit(ictxt)
|
|
stop
|
|
endif
|
|
|
|
|
|
name='arnoldi_file'
|
|
if(psb_get_errstatus() /= 0) goto 9999
|
|
info=psb_success_
|
|
call psb_set_errverbosity(2)
|
|
!
|
|
! Hello world
|
|
!
|
|
if (iam == psb_root_) then
|
|
write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
|
|
write(*,*) 'This is the ',trim(name),' sample program'
|
|
read(psb_inp_unit,*) mtrx_file
|
|
read(psb_inp_unit,*) filefmt
|
|
read(psb_inp_unit,*) ipart
|
|
read(psb_inp_unit,*) dim_H
|
|
write (psb_out_unit, '("Hessenberg matrix dim is ",i20)') dim_H
|
|
end if
|
|
call psb_bcast(ictxt,mtrx_file)
|
|
call psb_bcast(ictxt,filefmt)
|
|
call psb_bcast(ictxt,ipart)
|
|
call psb_bcast(ictxt,dim_H)
|
|
rhs_file = 'NONE'
|
|
afmt = 'CSR'
|
|
call psb_barrier(ictxt)
|
|
t1 = psb_wtime()
|
|
! read the input matrix to be processed and (possibly) the rhs
|
|
nrhs = 1
|
|
|
|
if (iam==psb_root_) then
|
|
select case(psb_toupper(filefmt))
|
|
case('MM')
|
|
! For Matrix Market we have an input file for the matrix
|
|
! and an (optional) second file for the RHS.
|
|
call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file)
|
|
if (info == psb_success_) then
|
|
if (rhs_file /= 'NONE') then
|
|
call mm_array_read(aux_b,info,iunit=iunit,filename=rhs_file)
|
|
end if
|
|
end if
|
|
|
|
case ('HB')
|
|
! For Harwell-Boeig we have a single file which may or may not
|
|
! contain an RHS.
|
|
call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file)
|
|
|
|
case default
|
|
info = -1
|
|
write(psb_err_unit,*) 'Wrong choice for fileformat ', filefmt
|
|
end select
|
|
if (info /= psb_success_) then
|
|
write(psb_err_unit,*) 'Error while reading input matrix '
|
|
call psb_abort(ictxt)
|
|
end if
|
|
|
|
m_problem = aux_a%get_nrows()
|
|
call psb_bcast(ictxt,m_problem)
|
|
|
|
! At this point aux_b may still be unallocated
|
|
if (psb_size(aux_b,dim=1)==m_problem) then
|
|
! if any rhs were present, broadcast the first one
|
|
write(psb_err_unit,'("Ok, got an rhs ")')
|
|
b_col_glob =>aux_b(:,1)
|
|
else
|
|
write(psb_out_unit,'("Generating an rhs...")')
|
|
write(psb_out_unit,'(" ")')
|
|
call psb_realloc(m_problem,1,aux_b,ircode)
|
|
if (ircode /= 0) then
|
|
call psb_errpush(psb_err_alloc_dealloc_,name)
|
|
goto 9999
|
|
endif
|
|
|
|
b_col_glob => aux_b(:,1)
|
|
do i=1, m_problem
|
|
b_col_glob(i) = 1.d0
|
|
enddo
|
|
endif
|
|
call psb_bcast(ictxt,b_col_glob(1:m_problem))
|
|
|
|
else
|
|
|
|
call psb_bcast(ictxt,m_problem)
|
|
call psb_realloc(m_problem,1,aux_b,ircode)
|
|
if (ircode /= 0) then
|
|
call psb_errpush(psb_err_alloc_dealloc_,name)
|
|
goto 9999
|
|
endif
|
|
b_col_glob =>aux_b(:,1)
|
|
call psb_bcast(ictxt,b_col_glob(1:m_problem))
|
|
|
|
end if
|
|
|
|
! switch over different partition types
|
|
if (ipart == 0) then
|
|
call psb_barrier(ictxt)
|
|
if (iam==psb_root_) write(psb_out_unit,'("Partition type: block")')
|
|
allocate(ivg(m_problem),ipv(np))
|
|
do i=1,m_problem
|
|
call part_block(i,m_problem,np,ipv,nv)
|
|
ivg(i) = ipv(1)
|
|
enddo
|
|
call psb_matdist(aux_a, a,ictxt, &
|
|
& desc_a,b_col_glob,b_col,info,fmt=afmt,v=ivg)
|
|
|
|
else if (ipart == 2) then
|
|
if (iam==psb_root_) then
|
|
write(psb_out_unit,'("Partition type: graph")')
|
|
write(psb_out_unit,'(" ")')
|
|
! write(psb_err_unit,'("Build type: graph")')
|
|
call build_mtpart(aux_a,np)
|
|
|
|
endif
|
|
call psb_barrier(ictxt)
|
|
call distr_mtpart(psb_root_,ictxt)
|
|
call getv_mtpart(ivg)
|
|
call psb_matdist(aux_a, a, ictxt, &
|
|
& desc_a,b_col_glob,b_col,info,fmt=afmt,v=ivg)
|
|
|
|
else
|
|
if (iam==psb_root_) write(psb_out_unit,'("Partition type: block")')
|
|
call psb_matdist(aux_a, a, ictxt, &
|
|
& desc_a,b_col_glob,b_col,info,fmt=afmt,parts=part_block)
|
|
end if
|
|
|
|
allocate(H(dim_H,dim_H),stat = alloc_stat)
|
|
do i=1,dim_h
|
|
do j=1,dim_H
|
|
H(i,j)=zzero
|
|
enddo
|
|
enddo
|
|
allocate(V(dim_H+1),stat = alloc_stat)
|
|
do i=1,dim_H+1
|
|
call psb_geall(V(i),desc_a,info)
|
|
call psb_geasb(V(i),desc_a,info)
|
|
enddo
|
|
|
|
call V(1)%set(zone)
|
|
t2 = psb_wtime() - t1
|
|
call psb_amx(ictxt, t2)
|
|
|
|
if (iam==psb_root_) then
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'("Time to read and partition matrix : ",es12.5)')t2
|
|
write(psb_out_unit,'(" ")')
|
|
end if
|
|
|
|
|
|
call psb_barrier(ictxt)
|
|
t1 = psb_wtime()
|
|
|
|
norm = psb_genrm2(V(1),desc_a,info)
|
|
if (iam==psb_root_) write(psb_out_unit,'("norma iniziale :"F20.3)')norm
|
|
! H(2,1)=dcmplx(norm,0.0)
|
|
H(2,1)=norm*zone
|
|
norm = 1/norm
|
|
!normalisation of V(1)
|
|
call psb_geaxpby(zzero,V(1),norm*zone,V(1),desc_a, info)
|
|
do i=2,dim_H+1
|
|
call psb_spmm(zone,a,V(i-1),zzero,V(i),desc_a,info,'n') !we do V(i)=a*V(i-1)
|
|
! Gram-Schmitt's reorthogonalisation
|
|
do j=1,i-1
|
|
dotprod= psb_gedot(V(i),V(j),desc_a,info) ! dotprod = (V(i) dot V(j))
|
|
call psb_geaxpby(-dotprod,V(j),zone,V(i),desc_a, info) !V(i)=V(i)-V(j)*dotprod
|
|
if(iam==psb_root_) write(*,'("dotprod : "i5, g20.4,g20.4)') i,real(dotprod),aimag(dotprod)
|
|
H(j,i-1)=dotprod
|
|
end do
|
|
norm = psb_genrm2(V(i),desc_a,info)
|
|
if (iam==psb_root_) then
|
|
write(psb_out_unit,'("norma finale :"i20,F20.3)')i,norm
|
|
write(psb_out_unit,'("")')
|
|
end if
|
|
if (i .ne. dim_H+1) then
|
|
H(i,i-1)=cmplx(norm,0.0)
|
|
!H(i,i-1)=norm*zone
|
|
endif
|
|
norm=1/norm
|
|
call psb_geaxpby(zzero,V(i),norm*zone,V(i),desc_a, info)
|
|
enddo
|
|
do i=2,dim_H
|
|
if (iam==psb_root_) write(*,'("basse diagonale de H : "i5, g20.4,g20.4)') i,real(H(i,i-1)),aimag(H(i,i-1))
|
|
enddo
|
|
|
|
write(psb_out_unit,'("")')
|
|
|
|
allocate(eig(dim_H),work(dim_h),stat = info)
|
|
allocate(Z(dim_H,dim_H),stat = alloc_stat)
|
|
call ZHSEQR('E','N',dim_H,1,dim_H,H,dim_H,eig,Z,dim_H,work,3*dim_H,info)
|
|
|
|
!sort H's eigenvalues
|
|
allocate(indexes(1:dim_H))
|
|
call psb_qsort(eig,indexes,psb_alsort_up_,psb_sort_ovw_idx_)
|
|
|
|
call psb_barrier(ictxt)
|
|
t2 = psb_wtime() - t1
|
|
call psb_amx(ictxt,t2)
|
|
|
|
nr = desc_a%get_global_rows()
|
|
annz = a%get_nzeros()
|
|
amatsize = psb_sizeof(a)
|
|
descsize = psb_sizeof(desc_a)
|
|
call psb_sum(ictxt,annz)
|
|
call psb_sum(ictxt,amatsize)
|
|
call psb_sum(ictxt,descsize)
|
|
|
|
if (iam==psb_root_) then
|
|
flops = 2.d0*times*annz
|
|
tflops=flops
|
|
write(psb_out_unit,'("Matrix: ",a)') mtrx_file
|
|
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(*,'("valeurs propres de H : ")')
|
|
OPEN(unit=10, file=mtrx_file(1:3)//'.txt')
|
|
do i=dim_H/3,dim_H
|
|
write(psb_out_unit,'(g20.4,g20.4)')real(eig(i)),aimag(eig(i))
|
|
write(10,'(g20.4,g20.4)')real(eig(i)),aimag(eig(i))
|
|
enddo
|
|
CLOSE(10)
|
|
|
|
tflops = tflops / (tt2)
|
|
!
|
|
! This computation is valid for CSR
|
|
!
|
|
nbytes = nr*(2*psb_sizeof_sp + psb_sizeof_int)+ &
|
|
& annz*(psb_sizeof_sp + psb_sizeof_int)
|
|
bdwdth = times*nbytes/(t2*1.d6)
|
|
bdwdth = times*nbytes/(tt2*1.d6)
|
|
|
|
end if
|
|
|
|
call psb_gefree(b_col, desc_a,info)
|
|
call psb_gefree(x_col, desc_a,info)
|
|
call psb_spfree(a, desc_a,info)
|
|
call psb_cdfree(desc_a,info)
|
|
do i=1,dim_H
|
|
call psb_gefree(V(i),desc_a,info)
|
|
end do
|
|
DEALLOCATE (H)
|
|
DEALLOCATE (eig,V)
|
|
DEALLOCATE (work)
|
|
DEALLOCATE (Z)
|
|
9999 continue
|
|
if(info /= 0) then
|
|
call psb_error(ictxt)
|
|
end if
|
|
call psb_exit(ictxt)
|
|
stop
|
|
|
|
end program arnoldi_file
|
|
|
|
|
|
|
|
|