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620 lines
19 KiB
Fortran
620 lines
19 KiB
Fortran
!
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! Parallel Sparse BLAS version 3.5
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! (C) Copyright 2006, 2010, 2015, 2017
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! Salvatore Filippone Cranfield University
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! Alfredo Buttari CNRS-IRIT, Toulouse
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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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! subroutine to allocate and fill in the coefficient matrix and
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! the rhs.
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!
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subroutine psb_s_gen_pde3d(ictxt,idim,a,bv,xv,desc_a,afmt,&
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& a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold,imold,nrl)
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use psb_base_mod
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use psb_s_genpde_mod, psb_protect_name => psb_s_gen_pde3d
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!
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! Discretizes the partial differential equation
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!
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! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
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! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
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! dxdx dydy dzdz dx dy dz
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!
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! with Dirichlet boundary conditions
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! u = g
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!
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! on the unit cube 0<=x,y,z<=1.
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!
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!
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! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
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!
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implicit none
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procedure(s_func_3d) :: b1,b2,b3,c,a1,a2,a3,g
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integer(psb_ipk_) :: idim
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type(psb_sspmat_type) :: a
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type(psb_s_vect_type) :: xv,bv
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type(psb_desc_type) :: desc_a
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integer(psb_ipk_) :: ictxt, info
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character(len=*) :: afmt
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procedure(s_func_3d), optional :: f
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class(psb_s_base_sparse_mat), optional :: amold
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class(psb_s_base_vect_type), optional :: vmold
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class(psb_i_base_vect_type), optional :: imold
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integer(psb_ipk_), optional :: nrl
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! Local variables.
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integer(psb_ipk_), parameter :: nb=20
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type(psb_s_csc_sparse_mat) :: acsc
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type(psb_s_coo_sparse_mat) :: acoo
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type(psb_s_csr_sparse_mat) :: acsr
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real(psb_spk_) :: zt(nb),x,y,z
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integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
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integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
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integer(psb_ipk_) :: np, iam, nr, nt
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integer(psb_ipk_) :: icoeff
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integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
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real(psb_spk_), allocatable :: val(:)
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! deltah dimension of each grid cell
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! deltat discretization time
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real(psb_spk_) :: deltah, sqdeltah, deltah2
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real(psb_spk_), parameter :: rhs=0.e0,one=1.e0,zero=0.e0
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real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
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integer(psb_ipk_) :: err_act
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procedure(s_func_3d), pointer :: f_
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character(len=20) :: name, ch_err,tmpfmt
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info = psb_success_
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name = 'create_matrix'
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call psb_erractionsave(err_act)
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call psb_info(ictxt, iam, np)
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if (present(f)) then
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f_ => f
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else
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f_ => s_null_func_3d
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end if
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deltah = 1.e0/(idim+2)
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sqdeltah = deltah*deltah
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deltah2 = 2.e0* deltah
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! initialize array descriptor and sparse matrix storage. provide an
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! estimate of the number of non zeroes
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m = idim*idim*idim
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n = m
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nnz = ((n*9)/(np))
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if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
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if (present(nrl)) then
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nr = nrl
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else
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!
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! Using a simple BLOCK distribution.
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!
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nt = (m+np-1)/np
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nr = max(0,min(nt,m-(iam*nt)))
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end if
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nt = nr
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call psb_sum(ictxt,nt)
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if (nt /= m) then
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write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
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info = -1
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call psb_barrier(ictxt)
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call psb_abort(ictxt)
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return
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end if
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call psb_barrier(ictxt)
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t0 = psb_wtime()
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call psb_cdall(ictxt,desc_a,info,nl=nr)
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if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
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! define rhs from boundary conditions; also build initial guess
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if (info == psb_success_) call psb_geall(xv,desc_a,info)
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if (info == psb_success_) call psb_geall(bv,desc_a,info)
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call psb_barrier(ictxt)
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talc = psb_wtime()-t0
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='allocation rout.'
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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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! we build an auxiliary matrix consisting of one row at a
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! time; just a small matrix. might be extended to generate
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! a bunch of rows per call.
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!
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allocate(val(20*nb),irow(20*nb),&
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&icol(20*nb),stat=info)
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if (info /= psb_success_ ) then
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info=psb_err_alloc_dealloc_
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call psb_errpush(info,name)
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goto 9999
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endif
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myidx = desc_a%get_global_indices()
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nlr = size(myidx)
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! loop over rows belonging to current process in a block
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! distribution.
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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do ii=1, nlr,nb
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ib = min(nb,nlr-ii+1)
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icoeff = 1
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do k=1,ib
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i=ii+k-1
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! local matrix pointer
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glob_row=myidx(i)
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! compute gridpoint coordinates
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if (mod(glob_row,(idim*idim)) == 0) then
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ix = glob_row/(idim*idim)
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else
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ix = glob_row/(idim*idim)+1
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endif
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if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
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iy = (glob_row-(ix-1)*idim*idim)/idim
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else
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iy = (glob_row-(ix-1)*idim*idim)/idim+1
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endif
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iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
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! x, y, x coordinates
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x = ix*deltah
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y = iy*deltah
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z = iz*deltah
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zt(k) = f_(x,y,z)
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! internal point: build discretization
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!
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! term depending on (x-1,y,z)
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!
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val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
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if (ix == 1) then
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zt(k) = g(szero,y,z)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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! term depending on (x,y-1,z)
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val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
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if (iy == 1) then
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zt(k) = g(x,szero,z)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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! term depending on (x,y,z-1)
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val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
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if (iz == 1) then
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zt(k) = g(x,y,szero)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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! term depending on (x,y,z)
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val(icoeff)=2.e0*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
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& + c(x,y,z)
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icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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! term depending on (x,y,z+1)
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val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
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if (iz == idim) then
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zt(k) = g(x,y,sone)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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! term depending on (x,y+1,z)
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val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
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if (iy == idim) then
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zt(k) = g(x,sone,z)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix-1)*idim*idim+(iy)*idim+(iz)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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! term depending on (x+1,y,z)
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val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
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if (ix==idim) then
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zt(k) = g(sone,y,z)*(-val(icoeff)) + zt(k)
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else
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icol(icoeff) = (ix)*idim*idim+(iy-1)*idim+(iz)
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irow(icoeff) = glob_row
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icoeff = icoeff+1
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endif
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end do
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call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
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if(info /= psb_success_) exit
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call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
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if(info /= psb_success_) exit
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zt(:)=0.e0
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call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
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if(info /= psb_success_) exit
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end do
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tgen = psb_wtime()-t1
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='insert rout.'
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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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deallocate(val,irow,icol)
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call psb_cdasb(desc_a,info,mold=imold)
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tcdasb = psb_wtime()-t1
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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if (info == psb_success_) then
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if (present(amold)) then
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call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold)
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else
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call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
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end if
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end if
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call psb_barrier(ictxt)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='asb rout.'
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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_geasb(xv,desc_a,info,mold=vmold)
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if (info == psb_success_) call psb_geasb(bv,desc_a,info,mold=vmold)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='asb rout.'
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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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tasb = psb_wtime()-t1
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call psb_barrier(ictxt)
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ttot = psb_wtime() - t0
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call psb_amx(ictxt,talc)
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call psb_amx(ictxt,tgen)
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call psb_amx(ictxt,tasb)
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call psb_amx(ictxt,ttot)
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if(iam == psb_root_) then
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tmpfmt = a%get_fmt()
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write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
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& tmpfmt
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write(psb_out_unit,'("-allocation time : ",es12.5)') talc
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write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
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write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
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write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
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write(psb_out_unit,'("-total time : ",es12.5)') ttot
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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(ictxt,err_act)
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return
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end subroutine psb_s_gen_pde3d
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!
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! subroutine to allocate and fill in the coefficient matrix and
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! the rhs.
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!
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subroutine psb_s_gen_pde2d(ictxt,idim,a,bv,xv,desc_a,afmt,&
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& a1,a2,b1,b2,c,g,info,f,amold,vmold,imold,nrl)
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use psb_base_mod
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use psb_s_genpde_mod, psb_protect_name => psb_s_gen_pde2d
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!
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! Discretizes the partial differential equation
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!
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! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
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|
! - ------ - ------ + ----- + ------ + c u = f
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|
! dxdx dydy dx dy
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|
!
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! with Dirichlet boundary conditions
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! u = g
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!
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! on the unit square 0<=x,y<=1.
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!
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!
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! Note that if b1=b2=c=0., the PDE is the Laplace equation.
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!
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implicit none
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procedure(s_func_2d) :: b1,b2,c,a1,a2,g
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integer(psb_ipk_) :: idim
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type(psb_sspmat_type) :: a
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type(psb_s_vect_type) :: xv,bv
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type(psb_desc_type) :: desc_a
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integer(psb_ipk_) :: ictxt, info
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character(len=*) :: afmt
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procedure(s_func_2d), optional :: f
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class(psb_s_base_sparse_mat), optional :: amold
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class(psb_s_base_vect_type), optional :: vmold
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class(psb_i_base_vect_type), optional :: imold
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integer(psb_ipk_), optional :: nrl
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! Local variables.
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integer(psb_ipk_), parameter :: nb=20
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type(psb_s_csc_sparse_mat) :: acsc
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type(psb_s_coo_sparse_mat) :: acoo
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type(psb_s_csr_sparse_mat) :: acsr
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real(psb_spk_) :: zt(nb),x,y,z
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integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
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integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
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integer(psb_ipk_) :: np, iam, nr, nt
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integer(psb_ipk_) :: icoeff
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integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
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real(psb_spk_), allocatable :: val(:)
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! deltah dimension of each grid cell
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! deltat discretization time
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real(psb_spk_) :: deltah, sqdeltah, deltah2
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real(psb_spk_), parameter :: rhs=0.e0,one=1.e0,zero=0.e0
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real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
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integer(psb_ipk_) :: err_act
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procedure(s_func_2d), pointer :: f_
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character(len=20) :: name, ch_err,tmpfmt
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info = psb_success_
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name = 'create_matrix'
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call psb_erractionsave(err_act)
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call psb_info(ictxt, iam, np)
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if (present(f)) then
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f_ => f
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else
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f_ => s_null_func_2d
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end if
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deltah = 1.e0/(idim+2)
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sqdeltah = deltah*deltah
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deltah2 = 2.e0* deltah
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! initialize array descriptor and sparse matrix storage. provide an
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! estimate of the number of non zeroes
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m = idim*idim
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n = m
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nnz = ((n*7)/(np))
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if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
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if (present(nrl)) then
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nr = nrl
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else
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!
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! Using a simple BLOCK distribution.
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!
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nt = (m+np-1)/np
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nr = max(0,min(nt,m-(iam*nt)))
|
|
end if
|
|
|
|
nt = nr
|
|
call psb_sum(ictxt,nt)
|
|
if (nt /= m) then
|
|
write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
|
info = -1
|
|
call psb_barrier(ictxt)
|
|
call psb_abort(ictxt)
|
|
return
|
|
end if
|
|
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(xv,desc_a,info)
|
|
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
|
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),stat=info)
|
|
if (info /= psb_success_ ) then
|
|
info=psb_err_alloc_dealloc_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
endif
|
|
|
|
|
|
myidx = desc_a%get_global_indices()
|
|
nlr = size(myidx)
|
|
|
|
! 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)
|
|
icoeff = 1
|
|
do k=1,ib
|
|
i=ii+k-1
|
|
! local matrix pointer
|
|
glob_row=myidx(i)
|
|
! compute gridpoint coordinates
|
|
if (mod(glob_row,(idim)) == 0) then
|
|
ix = glob_row/(idim)
|
|
else
|
|
ix = glob_row/(idim)+1
|
|
endif
|
|
iy = (glob_row-(ix-1)*idim)
|
|
! x, y
|
|
x = ix*deltah
|
|
y = iy*deltah
|
|
|
|
zt(k) = f_(x,y)
|
|
! internal point: build discretization
|
|
!
|
|
! term depending on (x-1,y)
|
|
!
|
|
val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
|
|
if (ix == 1) then
|
|
zt(k) = g(szero,y)*(-val(icoeff)) + zt(k)
|
|
else
|
|
icol(icoeff) = (ix-2)*idim+iy
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x,y-1)
|
|
val(icoeff) = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
|
|
if (iy == 1) then
|
|
zt(k) = g(x,szero)*(-val(icoeff)) + zt(k)
|
|
else
|
|
icol(icoeff) = (ix-1)*idim+(iy-1)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
|
|
! term depending on (x,y)
|
|
val(icoeff)=2.e0*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
|
|
icol(icoeff) = (ix-1)*idim+iy
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
! term depending on (x,y+1)
|
|
val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
|
|
if (iy == idim) then
|
|
zt(k) = g(x,sone)*(-val(icoeff)) + zt(k)
|
|
else
|
|
icol(icoeff) = (ix-1)*idim+(iy+1)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
! term depending on (x+1,y)
|
|
val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
|
|
if (ix==idim) then
|
|
zt(k) = g(sone,y)*(-val(icoeff)) + zt(k)
|
|
else
|
|
icol(icoeff) = (ix)*idim+(iy)
|
|
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(:)=0.e0
|
|
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(ictxt)
|
|
t1 = psb_wtime()
|
|
call psb_cdasb(desc_a,info,mold=imold)
|
|
tcdasb = psb_wtime()-t1
|
|
call psb_barrier(ictxt)
|
|
t1 = psb_wtime()
|
|
if (info == psb_success_) then
|
|
if (present(amold)) then
|
|
call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold)
|
|
else
|
|
call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
|
end if
|
|
end if
|
|
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(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(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,'("-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(ictxt,err_act)
|
|
|
|
return
|
|
end subroutine psb_s_gen_pde2d
|