psblas3:
base/modules/psb_c_linmap_mod.f90 base/modules/psb_s_linmap_mod.f90 base/modules/psb_z_linmap_mod.f90 prec/psb_cprecbld.f90 prec/psb_cprecinit.f90 prec/psb_dprecbld.f90 prec/psb_dprecinit.f90 prec/psb_sprecbld.f90 prec/psb_sprecinit.f90 prec/psb_zprecbld.f90 prec/psb_zprecinit.f90 test/kernel/Makefile test/kernel/pdgenspmv.f90 util/Makefile Fixed map_cscnv for S/C/Z. Mods for precbld/precinit USE statements for the benefit of the Cray compiler.psblas3-type-indexed
parent
06945b8ae6
commit
5f4eca7cd2
@ -0,0 +1,638 @@
|
|||||||
|
!!$
|
||||||
|
!!$ Parallel Sparse BLAS version 2.3.1
|
||||||
|
!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010
|
||||||
|
!!$ 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.
|
||||||
|
!!$
|
||||||
|
!!$
|
||||||
|
! File: ppde.f90
|
||||||
|
!
|
||||||
|
! Program: ppde
|
||||||
|
! This sample program solves a linear system obtained by discretizing a
|
||||||
|
! PDE with Dirichlet BCs.
|
||||||
|
!
|
||||||
|
!
|
||||||
|
! The PDE is a general second order equation in 3d
|
||||||
|
!
|
||||||
|
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
|
||||||
|
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u = 0
|
||||||
|
! dxdx dydy dzdz dx dy dz
|
||||||
|
!
|
||||||
|
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
|
||||||
|
!
|
||||||
|
! Example taken from:
|
||||||
|
! C.T.Kelley
|
||||||
|
! Iterative Methods for Linear and Nonlinear Equations
|
||||||
|
! SIAM 1995
|
||||||
|
!
|
||||||
|
! In this sample program the index space of the discretized
|
||||||
|
! computational domain is first numbered sequentially in a standard way,
|
||||||
|
! then the corresponding vector is distributed according to a BLOCK
|
||||||
|
! data distribution.
|
||||||
|
!
|
||||||
|
! Boundary conditions are set in a very simple way, by adding
|
||||||
|
! equations of the form
|
||||||
|
!
|
||||||
|
! u(x,y) = exp(-x^2-y^2-z^2)
|
||||||
|
!
|
||||||
|
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
|
||||||
|
!
|
||||||
|
program pdgen
|
||||||
|
use psb_base_mod
|
||||||
|
use psb_util_mod
|
||||||
|
implicit none
|
||||||
|
|
||||||
|
! input parameters
|
||||||
|
character(len=20) :: kmethd, ptype
|
||||||
|
character(len=5) :: afmt
|
||||||
|
integer :: idim
|
||||||
|
|
||||||
|
! miscellaneous
|
||||||
|
real(psb_dpk_), parameter :: one = 1.d0
|
||||||
|
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, desc_b
|
||||||
|
! dense matrices
|
||||||
|
type(psb_d_vect_type) :: xxv,bv, vtst
|
||||||
|
real(psb_dpk_), allocatable :: tst(:)
|
||||||
|
! blacs parameters
|
||||||
|
integer :: ictxt, iam, np
|
||||||
|
|
||||||
|
! solver parameters
|
||||||
|
integer :: iter, itmax,itrace, istopc, irst, nr
|
||||||
|
integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size, annz, nbytes
|
||||||
|
real(psb_dpk_) :: err, eps
|
||||||
|
integer, parameter :: times=10
|
||||||
|
|
||||||
|
! other variables
|
||||||
|
integer :: info, i
|
||||||
|
character(len=20) :: name,ch_err
|
||||||
|
character(len=40) :: fname
|
||||||
|
|
||||||
|
info=psb_success_
|
||||||
|
|
||||||
|
|
||||||
|
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
|
||||||
|
if(psb_get_errstatus() /= 0) goto 9999
|
||||||
|
name='pde90'
|
||||||
|
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'
|
||||||
|
end if
|
||||||
|
!
|
||||||
|
! get parameters
|
||||||
|
!
|
||||||
|
call get_parms(ictxt,afmt,idim)
|
||||||
|
|
||||||
|
!
|
||||||
|
! allocate and fill in the coefficient matrix, rhs and initial guess
|
||||||
|
!
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t1 = psb_wtime()
|
||||||
|
call create_matrix(idim,a,bv,xxv,desc_a,ictxt,afmt,info)
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t2 = psb_wtime() - t1
|
||||||
|
if(info /= psb_success_) then
|
||||||
|
info=psb_err_from_subroutine_
|
||||||
|
ch_err='create_matrix'
|
||||||
|
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,'(" ")')
|
||||||
|
!!$ write(fname,'(a,i0,a)') 'pde-',idim,'.hb'
|
||||||
|
!!$ call hb_write(a,info,filename=fname,rhs=b,key='PDEGEN',mtitle='MLD2P4 pdegen Test matrix ')
|
||||||
|
!!$ write(fname,'(a,i2.2,a,i2.2,a)') 'amat-',iam,'-',np,'.mtx'
|
||||||
|
!!$ call a%print(fname)
|
||||||
|
!!$ call psb_cdprt(20+iam,desc_a,short=.false.)
|
||||||
|
!!$ call psb_cdcpy(desc_a,desc_b,info)
|
||||||
|
!!$ call psb_set_debug_level(9999)
|
||||||
|
|
||||||
|
call psb_cdbldext(a,desc_a,2,desc_b,info,extype=psb_ovt_asov_)
|
||||||
|
if (info /= 0) then
|
||||||
|
write(0,*) 'Error from bldext'
|
||||||
|
call psb_abort(ictxt)
|
||||||
|
end if
|
||||||
|
|
||||||
|
|
||||||
|
call xxv%set(done)
|
||||||
|
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t1 = psb_wtime()
|
||||||
|
do i=1,times
|
||||||
|
call psb_spmm(done,a,xxv,dzero,bv,desc_a,info,'n')
|
||||||
|
end do
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t2 = psb_wtime() - t1
|
||||||
|
call psb_amx(ictxt,t2)
|
||||||
|
|
||||||
|
! FIXME: cache flush needed here
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
tt1 = psb_wtime()
|
||||||
|
do i=1,times
|
||||||
|
call psb_spmm(done,a,xxv,dzero,bv,desc_a,info,'t')
|
||||||
|
end do
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
tt2 = psb_wtime() - tt1
|
||||||
|
call psb_amx(ictxt,tt2)
|
||||||
|
|
||||||
|
call psb_amx(ictxt,t2)
|
||||||
|
nr = desc_a%get_global_rows()
|
||||||
|
annz = a%get_nzeros()
|
||||||
|
amatsize = a%sizeof()
|
||||||
|
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 = 1.d1*2*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_int)+&
|
||||||
|
& annz*(psb_sizeof_dp + psb_sizeof_int)
|
||||||
|
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%indxmap%get_fmt()
|
||||||
|
write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
|
||||||
|
write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%indxmap%get_fmt()
|
||||||
|
write(psb_out_unit,'("Storage type for DESC_B: ",a)') desc_b%indxmap%get_fmt()
|
||||||
|
|
||||||
|
end if
|
||||||
|
!!$ write(psb_out_unit,'(" ")')
|
||||||
|
!!$ write(psb_out_unit,'("Time to solve matrix : ",es12.5)')t2
|
||||||
|
!!$ write(psb_out_unit,'("Time per iteration : ",es12.5)')t2/iter
|
||||||
|
!!$ write(psb_out_unit,'("Number of iterations : ",i0)')iter
|
||||||
|
!!$ write(psb_out_unit,'("Convergence indicator on exit : ",es12.5)')err
|
||||||
|
!!$ write(psb_out_unit,'("Info on exit : ",i0)')info
|
||||||
|
!!$ write(psb_out_unit,'("Total memory occupation for A: ",i12)')amatsize
|
||||||
|
!!$ write(psb_out_unit,'("Total memory occupation for PREC: ",i12)')precsize
|
||||||
|
!!$ write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
|
||||||
|
!!$ write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%indxmap%get_fmt()
|
||||||
|
!!$ write(psb_out_unit,'("Storage type for DESC_B: ",a)') desc_b%indxmap%get_fmt()
|
||||||
|
|
||||||
|
|
||||||
|
!
|
||||||
|
! cleanup storage and exit
|
||||||
|
!
|
||||||
|
call psb_gefree(bv,desc_a,info)
|
||||||
|
call psb_gefree(xxv,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
|
||||||
|
|
||||||
|
9999 continue
|
||||||
|
if(info /= psb_success_) then
|
||||||
|
call psb_error(ictxt)
|
||||||
|
end if
|
||||||
|
call psb_exit(ictxt)
|
||||||
|
stop
|
||||||
|
|
||||||
|
contains
|
||||||
|
!
|
||||||
|
! get iteration parameters from standard input
|
||||||
|
!
|
||||||
|
subroutine get_parms(ictxt,afmt,idim)
|
||||||
|
integer :: ictxt
|
||||||
|
character(len=*) :: afmt
|
||||||
|
integer :: idim
|
||||||
|
integer :: np, iam
|
||||||
|
integer :: intbuf(10), ip
|
||||||
|
|
||||||
|
call psb_info(ictxt, iam, np)
|
||||||
|
|
||||||
|
if (iam == 0) then
|
||||||
|
read(psb_inp_unit,*) afmt
|
||||||
|
read(psb_inp_unit,*) idim
|
||||||
|
endif
|
||||||
|
call psb_bcast(ictxt,afmt)
|
||||||
|
call psb_bcast(ictxt,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 :: 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
|
||||||
|
|
||||||
|
!
|
||||||
|
! subroutine to allocate and fill in the coefficient matrix and
|
||||||
|
! the rhs.
|
||||||
|
!
|
||||||
|
subroutine create_matrix(idim,a,bv,xxv,desc_a,ictxt,afmt,info)
|
||||||
|
!
|
||||||
|
! discretize the partial diferential equation
|
||||||
|
!
|
||||||
|
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
|
||||||
|
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u
|
||||||
|
! dxdx dydy dzdz dx dy dz
|
||||||
|
!
|
||||||
|
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
|
||||||
|
!
|
||||||
|
! Boundary conditions are set in a very simple way, by adding
|
||||||
|
! equations of the form
|
||||||
|
!
|
||||||
|
! u(x,y) = exp(-x^2-y^2-z^2)
|
||||||
|
!
|
||||||
|
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
|
||||||
|
!
|
||||||
|
use psb_base_mod
|
||||||
|
use psb_mat_mod
|
||||||
|
implicit none
|
||||||
|
integer :: idim
|
||||||
|
integer, parameter :: nb=20
|
||||||
|
type(psb_d_vect_type) :: xxv,bv
|
||||||
|
type(psb_desc_type) :: desc_a
|
||||||
|
integer :: ictxt, info
|
||||||
|
character :: afmt*5
|
||||||
|
type(psb_dspmat_type) :: a
|
||||||
|
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 :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||||
|
integer :: ix,iy,iz,ia,indx_owner
|
||||||
|
integer :: np, iam, nr, nt
|
||||||
|
integer :: element
|
||||||
|
integer, allocatable :: irow(:),icol(:),myidx(:)
|
||||||
|
real(psb_dpk_), allocatable :: val(:)
|
||||||
|
! deltah dimension of each grid cell
|
||||||
|
! deltat discretization time
|
||||||
|
real(psb_dpk_) :: deltah, deltah2
|
||||||
|
real(psb_dpk_), parameter :: rhs=0.d0,one=1.d0,zero=0.d0
|
||||||
|
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen
|
||||||
|
real(psb_dpk_) :: a1, a2, a3, a4, b1, b2, b3
|
||||||
|
external :: a1, a2, a3, a4, b1, b2, b3
|
||||||
|
integer :: err_act
|
||||||
|
|
||||||
|
character(len=20) :: name, ch_err,tmpfmt
|
||||||
|
|
||||||
|
info = psb_success_
|
||||||
|
name = 'create_matrix'
|
||||||
|
call psb_erractionsave(err_act)
|
||||||
|
|
||||||
|
call psb_info(ictxt, iam, np)
|
||||||
|
|
||||||
|
deltah = 1.d0/(idim-1)
|
||||||
|
deltah2 = deltah*deltah
|
||||||
|
|
||||||
|
! initialize array descriptor and sparse matrix storage. provide an
|
||||||
|
! estimate of the number of non zeroes
|
||||||
|
|
||||||
|
m = idim*idim*idim
|
||||||
|
n = m
|
||||||
|
nnz = ((n*9)/(np))
|
||||||
|
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||||
|
|
||||||
|
!
|
||||||
|
! Using a simple BLOCK distribution.
|
||||||
|
!
|
||||||
|
nt = (m+np-1)/np
|
||||||
|
nr = max(0,min(nt,m-(iam*nt)))
|
||||||
|
|
||||||
|
nt = nr
|
||||||
|
call psb_sum(ictxt,nt)
|
||||||
|
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t0 = psb_wtime()
|
||||||
|
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||||
|
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(xxv,desc_a,info)
|
||||||
|
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||||
|
nlr = desc_a%get_local_rows()
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
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),myidx(nlr),stat=info)
|
||||||
|
if (info /= psb_success_ ) then
|
||||||
|
info=psb_err_alloc_dealloc_
|
||||||
|
call psb_errpush(info,name)
|
||||||
|
goto 9999
|
||||||
|
endif
|
||||||
|
|
||||||
|
do i=1,nlr
|
||||||
|
myidx(i) = i
|
||||||
|
end do
|
||||||
|
|
||||||
|
|
||||||
|
call psb_loc_to_glob(myidx,desc_a,info)
|
||||||
|
|
||||||
|
! loop over rows belonging to current process in a block
|
||||||
|
! distribution.
|
||||||
|
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
t1 = psb_wtime()
|
||||||
|
do ii=1, nlr,nb
|
||||||
|
ib = min(nb,nlr-ii+1)
|
||||||
|
element = 1
|
||||||
|
do k=1,ib
|
||||||
|
i=ii+k-1
|
||||||
|
! local matrix pointer
|
||||||
|
glob_row=myidx(i)
|
||||||
|
! compute gridpoint coordinates
|
||||||
|
if (mod(glob_row,(idim*idim)) == 0) then
|
||||||
|
ix = glob_row/(idim*idim)
|
||||||
|
else
|
||||||
|
ix = glob_row/(idim*idim)+1
|
||||||
|
endif
|
||||||
|
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
|
||||||
|
iy = (glob_row-(ix-1)*idim*idim)/idim
|
||||||
|
else
|
||||||
|
iy = (glob_row-(ix-1)*idim*idim)/idim+1
|
||||||
|
endif
|
||||||
|
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
|
||||||
|
! x, y, x coordinates
|
||||||
|
x = ix*deltah
|
||||||
|
y = iy*deltah
|
||||||
|
z = iz*deltah
|
||||||
|
|
||||||
|
! check on boundary points
|
||||||
|
zt(k) = 0.d0
|
||||||
|
! internal point: build discretization
|
||||||
|
!
|
||||||
|
! term depending on (x-1,y,z)
|
||||||
|
!
|
||||||
|
if (ix == 1) then
|
||||||
|
val(element) = -b1(x,y,z)/deltah2-a1(x,y,z)/deltah
|
||||||
|
zt(k) = exp(-x**2-y**2-z**2)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element) = -b1(x,y,z)/deltah2-a1(x,y,z)/deltah
|
||||||
|
icol(element) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
! term depending on (x,y-1,z)
|
||||||
|
if (iy == 1) then
|
||||||
|
val(element) = -b2(x,y,z)/deltah2-a2(x,y,z)/deltah
|
||||||
|
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element) = -b2(x,y,z)/deltah2-a2(x,y,z)/deltah
|
||||||
|
icol(element) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
! term depending on (x,y,z-1)
|
||||||
|
if (iz == 1) then
|
||||||
|
val(element)=-b3(x,y,z)/deltah2-a3(x,y,z)/deltah
|
||||||
|
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element)=-b3(x,y,z)/deltah2-a3(x,y,z)/deltah
|
||||||
|
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
! term depending on (x,y,z)
|
||||||
|
val(element)=(2*b1(x,y,z) + 2*b2(x,y,z) + 2*b3(x,y,z))/deltah2&
|
||||||
|
& + (a1(x,y,z) + a2(x,y,z) + a3(x,y,z)+ a4(x,y,z))/deltah
|
||||||
|
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
! term depending on (x,y,z+1)
|
||||||
|
if (iz == idim) then
|
||||||
|
val(element)=-b1(x,y,z)/deltah2
|
||||||
|
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element)=-b1(x,y,z)/deltah2
|
||||||
|
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
! term depending on (x,y+1,z)
|
||||||
|
if (iy == idim) then
|
||||||
|
val(element)=-b2(x,y,z)/deltah2
|
||||||
|
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element)=-b2(x,y,z)/deltah2
|
||||||
|
icol(element) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
! term depending on (x+1,y,z)
|
||||||
|
if (ix==idim) then
|
||||||
|
val(element)=-b3(x,y,z)/deltah2
|
||||||
|
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
|
||||||
|
else
|
||||||
|
val(element)=-b3(x,y,z)/deltah2
|
||||||
|
icol(element) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
||||||
|
irow(element) = glob_row
|
||||||
|
element = element+1
|
||||||
|
endif
|
||||||
|
|
||||||
|
end do
|
||||||
|
call psb_spins(element-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(:)=0.d0
|
||||||
|
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xxv,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(ictxt)
|
||||||
|
t1 = psb_wtime()
|
||||||
|
call psb_cdasb(desc_a,info)
|
||||||
|
if (info == psb_success_) &
|
||||||
|
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||||
|
call psb_barrier(ictxt)
|
||||||
|
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(xxv,desc_a,info)
|
||||||
|
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||||
|
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(ictxt)
|
||||||
|
ttot = psb_wtime() - t0
|
||||||
|
|
||||||
|
call psb_amx(ictxt,talc)
|
||||||
|
call psb_amx(ictxt,tgen)
|
||||||
|
call psb_amx(ictxt,tasb)
|
||||||
|
call psb_amx(ictxt,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,'("-assembly time : ",es12.5)') tasb
|
||||||
|
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||||
|
|
||||||
|
end if
|
||||||
|
call psb_erractionrestore(err_act)
|
||||||
|
return
|
||||||
|
|
||||||
|
9999 continue
|
||||||
|
call psb_erractionrestore(err_act)
|
||||||
|
if (err_act == psb_act_abort_) then
|
||||||
|
call psb_error(ictxt)
|
||||||
|
return
|
||||||
|
end if
|
||||||
|
return
|
||||||
|
end subroutine create_matrix
|
||||||
|
end program pdgen
|
||||||
|
!
|
||||||
|
! functions parametrizing the differential equation
|
||||||
|
!
|
||||||
|
function a1(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: a1
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
a1=1.d0
|
||||||
|
end function a1
|
||||||
|
function a2(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: a2
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
a2=2.d1*y
|
||||||
|
end function a2
|
||||||
|
function a3(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: a3
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
a3=1.d0
|
||||||
|
end function a3
|
||||||
|
function a4(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: a4
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
a4=1.d0
|
||||||
|
end function a4
|
||||||
|
function b1(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: b1
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
b1=1.d0
|
||||||
|
end function b1
|
||||||
|
function b2(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: b2
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
b2=1.d0
|
||||||
|
end function b2
|
||||||
|
function b3(x,y,z)
|
||||||
|
use psb_base_mod, only : psb_dpk_
|
||||||
|
real(psb_dpk_) :: b3
|
||||||
|
real(psb_dpk_) :: x,y,z
|
||||||
|
b3=1.d0
|
||||||
|
end function b3
|
||||||
|
|
||||||
|
|
Loading…
Reference in New Issue