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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_d_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)
|
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|
|
use psb_base_mod
|
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|
|
|
use psb_d_genpde_mod, psb_protect_name => psb_d_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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|
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|
procedure(d_func_3d) :: b1,b2,b3,c,a1,a2,a3,g
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|
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integer(psb_ipk_) :: idim
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type(psb_dspmat_type) :: a
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type(psb_d_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(d_func_3d), optional :: f
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class(psb_d_base_sparse_mat), optional :: amold
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class(psb_d_base_vect_type), optional :: vmold
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! Local variables.
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integer(psb_ipk_), parameter :: nb=20
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type(psb_d_csc_sparse_mat) :: acsc
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type(psb_d_coo_sparse_mat) :: acoo
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type(psb_d_csr_sparse_mat) :: acsr
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real(psb_dpk_) :: 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_dpk_), allocatable :: val(:)
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|
|
! deltah dimension of each grid cell
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|
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! deltat discretization time
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real(psb_dpk_) :: deltah, sqdeltah, deltah2
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real(psb_dpk_), parameter :: rhs=0.d0,one=1.d0,zero=0.d0
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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(d_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_ => d_null_func_3d
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|
|
end if
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deltah = 1.d0/(idim+2)
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|
sqdeltah = deltah*deltah
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|
deltah2 = 2.d0* 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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|
!
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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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|
|
nt = nr
|
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|
|
|
call psb_sum(ictxt,nt)
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|
|
|
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
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|
|
|
call psb_barrier(ictxt)
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|
|
|
t0 = psb_wtime()
|
|
|
|
|
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)
|
|
|
|
|
! define rhs from boundary conditions; also build initial guess
|
|
|
|
|
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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|
|
|
nlr = desc_a%get_local_rows()
|
|
|
|
|
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.'
|
|
|
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
! 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.
|
|
|
|
|
!
|
|
|
|
|
allocate(val(20*nb),irow(20*nb),&
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|
|
&icol(20*nb),myidx(nlr),stat=info)
|
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|
|
|
if (info /= psb_success_ ) then
|
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|
|
|
info=psb_err_alloc_dealloc_
|
|
|
|
|
call psb_errpush(info,name)
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
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|
|
|
do i=1,nlr
|
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|
|
|
myidx(i) = i
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|
|
end do
|
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|
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|
|
|
|
|
|
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)
|
|
|
|
|
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*idim)) == 0) then
|
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|
|
|
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
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
|
|
|
|
irow(icoeff) = glob_row
|
|
|
|
|
icoeff = icoeff+1
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
! term depending on (x,y,z)
|
|
|
|
|
val(icoeff)=2.d0*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
|
|
|
|
|
& + c(x,y,z)
|
|
|
|
|
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
|
|
|
|
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
|
|
|
|
|
icol(icoeff) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
|
|
|
|
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.d0
|
|
|
|
|
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)
|
|
|
|
|
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 continue
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
if (err_act == psb_act_abort_) then
|
|
|
|
|
call psb_error(ictxt)
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
end subroutine psb_d_gen_pde3d
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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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|
|
subroutine psb_d_gen_pde2d(ictxt,idim,a,bv,xv,desc_a,afmt,&
|
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|
|
|
& a1,a2,b1,b2,c,g,info,f,amold,vmold)
|
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|
|
|
use psb_base_mod
|
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|
|
|
use psb_d_genpde_mod, psb_protect_name => psb_d_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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|
!
|
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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(d_func_2d) :: b1,b2,c,a1,a2,g
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|
|
|
integer(psb_ipk_) :: idim
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type(psb_dspmat_type) :: a
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|
|
type(psb_d_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(d_func_2d), optional :: f
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|
|
class(psb_d_base_sparse_mat), optional :: amold
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|
class(psb_d_base_vect_type), optional :: vmold
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|
|
! Local variables.
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|
|
integer(psb_ipk_), parameter :: nb=20
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|
|
type(psb_d_csc_sparse_mat) :: acsc
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|
|
type(psb_d_coo_sparse_mat) :: acoo
|
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|
|
|
type(psb_d_csr_sparse_mat) :: acsr
|
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|
|
|
real(psb_dpk_) :: 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
|
|
|
|
|
integer(psb_ipk_) :: np, iam, nr, nt
|
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|
|
|
integer(psb_ipk_) :: icoeff
|
|
|
|
|
integer(psb_ipk_), 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=0.d0,one=1.d0,zero=0.d0
|
|
|
|
|
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
|
|
|
|
integer(psb_ipk_) :: err_act
|
|
|
|
|
procedure(d_func_2d), pointer :: f_
|
|
|
|
|
character(len=20) :: name, ch_err,tmpfmt
|
|
|
|
|
|
|
|
|
|
info = psb_success_
|
|
|
|
|
name = 'create_matrix'
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
|
|
|
|
|
call psb_info(ictxt, iam, np)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (present(f)) then
|
|
|
|
|
f_ => f
|
|
|
|
|
else
|
|
|
|
|
f_ => d_null_func_2d
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
deltah = 1.d0/(idim+2)
|
|
|
|
|
sqdeltah = deltah*deltah
|
|
|
|
|
deltah2 = 2.d0* deltah
|
|
|
|
|
|
|
|
|
|
! initialize array descriptor and sparse matrix storage. provide an
|
|
|
|
|
! estimate of the number of non zeroes
|
|
|
|
|
|
|
|
|
|
m = idim*idim
|
|
|
|
|
n = m
|
|
|
|
|
nnz = ((n*7)/(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(xv,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)
|
|
|
|
|
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(dzero,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,dzero)*(-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.d0*(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,done)*(-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(done,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.d0
|
|
|
|
|
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)
|
|
|
|
|
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 continue
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
if (err_act == psb_act_abort_) then
|
|
|
|
|
call psb_error(ictxt)
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
end subroutine psb_d_gen_pde2d
|
