psb_d_oacc_pde3d draft
tloloum
6 months ago
parent
9e18545151
commit
b5a8c549dd
@ -1,617 +0,0 @@
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module psb_d_pde3d_mod
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use psb_base_mod, only : psb_dpk_, psb_ipk_, psb_lpk_, psb_desc_type,&
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& psb_dspmat_type, psb_d_vect_type, dzero,&
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& psb_d_base_sparse_mat, psb_d_base_vect_type, &
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& psb_i_base_vect_type, psb_l_base_vect_type
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interface
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function d_func_3d(x,y,z) result(val)
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import :: psb_dpk_
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real(psb_dpk_), intent(in) :: x,y,z
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real(psb_dpk_) :: val
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end function d_func_3d
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end interface
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interface psb_gen_pde3d
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module procedure psb_d_gen_pde3d
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end interface psb_gen_pde3d
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contains
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function d_null_func_3d(x,y,z) result(val)
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real(psb_dpk_), intent(in) :: x,y,z
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real(psb_dpk_) :: val
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val = dzero
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end function d_null_func_3d
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!
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! functions parametrizing the differential equation
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!
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!
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! Note: b1, b2 and b3 are the coefficients of the first
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! derivative of the unknown function. The default
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! we apply here is to have them zero, so that the resulting
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! matrix is symmetric/hermitian and suitable for
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! testing with CG and FCG.
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! When testing methods for non-hermitian matrices you can
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! change the B1/B2/B3 functions to e.g. done/sqrt((3*done))
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!
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function b1(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: b1
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real(psb_dpk_), intent(in) :: x,y,z
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b1=done/sqrt((3*done))
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end function b1
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function b2(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: b2
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real(psb_dpk_), intent(in) :: x,y,z
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b2=done/sqrt((3*done))
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end function b2
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function b3(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: b3
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real(psb_dpk_), intent(in) :: x,y,z
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b3=done/sqrt((3*done))
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end function b3
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function c(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: c
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real(psb_dpk_), intent(in) :: x,y,z
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c=dzero
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end function c
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function a1(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: a1
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real(psb_dpk_), intent(in) :: x,y,z
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a1=done/80
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end function a1
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function a2(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: a2
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real(psb_dpk_), intent(in) :: x,y,z
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a2=done/80
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end function a2
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function a3(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: a3
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real(psb_dpk_), intent(in) :: x,y,z
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a3=done/80
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end function a3
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function g(x,y,z)
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use psb_base_mod, only : psb_dpk_, done, dzero
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implicit none
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real(psb_dpk_) :: g
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real(psb_dpk_), intent(in) :: x,y,z
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g = dzero
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if (x == done) then
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g = done
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else if (x == dzero) then
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g = exp(y**2-z**2)
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end if
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end function g
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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(ctxt,idim,a,bv,xv,desc_a,afmt,info,&
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& f,amold,vmold,imold,partition,nrl,iv,tnd)
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use psb_base_mod
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use psb_util_mod
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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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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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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: 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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class(psb_i_base_vect_type), optional :: imold
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integer(psb_ipk_), optional :: partition, nrl,iv(:)
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logical, optional :: tnd
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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_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
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integer(psb_lpk_) :: m,n,glob_row,nt
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integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
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! For 3D partition
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! Note: integer control variables going directly into an MPI call
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! must be 4 bytes, i.e. psb_mpk_
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integer(psb_mpk_) :: npdims(3), npp, minfo
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integer(psb_ipk_) :: npx,npy,npz, iamx,iamy,iamz,mynx,myny,mynz
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integer(psb_ipk_), allocatable :: bndx(:),bndy(:),bndz(:)
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! Process grid
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integer(psb_ipk_) :: np, iam
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integer(psb_ipk_) :: icoeff
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integer(psb_lpk_), 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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! deltat discretization time
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real(psb_dpk_) :: deltah, sqdeltah, deltah2
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real(psb_dpk_), parameter :: rhs=dzero,one=done,zero=dzero
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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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logical :: tnd_
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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(ctxt, 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 = done/(idim+2)
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sqdeltah = deltah*deltah
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deltah2 = (2*done)* deltah
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if (present(partition)) then
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if ((1<= partition).and.(partition <= 3)) then
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partition_ = partition
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else
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write(*,*) 'Invalid partition choice ',partition,' defaulting to 3'
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partition_ = 3
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end if
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else
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partition_ = 3
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end if
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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 = (1_psb_lpk_*idim)*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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t0 = psb_wtime()
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select case(partition_)
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case(1)
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! A BLOCK partition
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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(ctxt,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(ctxt)
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call psb_abort(ctxt)
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return
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end if
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!
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! First example of use of CDALL: specify for each process a number of
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! contiguous rows
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!
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call psb_cdall(ctxt,desc_a,info,nl=nr)
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myidx = desc_a%get_global_indices()
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nlr = size(myidx)
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case(2)
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! A partition defined by the user through IV
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if (present(iv)) then
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if (size(iv) /= m) then
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write(psb_err_unit,*) iam, 'Initialization error: wrong IV size',size(iv),m
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info = -1
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call psb_barrier(ctxt)
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call psb_abort(ctxt)
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return
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end if
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else
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write(psb_err_unit,*) iam, 'Initialization error: IV not present'
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info = -1
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call psb_barrier(ctxt)
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call psb_abort(ctxt)
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return
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end if
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!
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! Second example of use of CDALL: specify for each row the
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! process that owns it
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!
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call psb_cdall(ctxt,desc_a,info,vg=iv)
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myidx = desc_a%get_global_indices()
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nlr = size(myidx)
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case(3)
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! A 3-dimensional partition
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! A nifty MPI function will split the process list
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npdims = 0
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call mpi_dims_create(np,3,npdims,info)
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npx = npdims(1)
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npy = npdims(2)
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npz = npdims(3)
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allocate(bndx(0:npx),bndy(0:npy),bndz(0:npz))
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! We can reuse idx2ijk for process indices as well.
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call idx2ijk(iamx,iamy,iamz,iam,npx,npy,npz,base=0)
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! Now let's split the 3D cube in hexahedra
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call dist1Didx(bndx,idim,npx)
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mynx = bndx(iamx+1)-bndx(iamx)
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call dist1Didx(bndy,idim,npy)
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myny = bndy(iamy+1)-bndy(iamy)
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call dist1Didx(bndz,idim,npz)
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mynz = bndz(iamz+1)-bndz(iamz)
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! How many indices do I own?
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nlr = mynx*myny*mynz
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allocate(myidx(nlr))
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! Now, let's generate the list of indices I own
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nr = 0
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do i=bndx(iamx),bndx(iamx+1)-1
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do j=bndy(iamy),bndy(iamy+1)-1
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do k=bndz(iamz),bndz(iamz+1)-1
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nr = nr + 1
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call ijk2idx(myidx(nr),i,j,k,idim,idim,idim)
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end do
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end do
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end do
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if (nr /= nlr) then
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write(psb_err_unit,*) iam,iamx,iamy,iamz, 'Initialization error: NR vs NLR ',&
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& nr,nlr,mynx,myny,mynz
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info = -1
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call psb_barrier(ctxt)
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call psb_abort(ctxt)
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end if
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!
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! Third example of use of CDALL: specify for each process
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! the set of global indices it owns.
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!
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call psb_cdall(ctxt,desc_a,info,vl=myidx)
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case default
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write(psb_err_unit,*) iam, 'Initialization error: should not get here'
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info = -1
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call psb_barrier(ctxt)
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call psb_abort(ctxt)
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return
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end select
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if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz,&
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& dupl=psb_dupl_err_)
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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(ctxt)
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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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! loop over rows belonging to current process in a block
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! distribution.
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call psb_barrier(ctxt)
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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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call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
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! x, y, z coordinates
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x = (ix-1)*deltah
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y = (iy-1)*deltah
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z = (iz-1)*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(dzero,y,z)*(-val(icoeff)) + zt(k)
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else
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call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
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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,dzero,z)*(-val(icoeff)) + zt(k)
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else
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call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
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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,dzero)*(-val(icoeff)) + zt(k)
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else
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call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
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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*done)*(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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call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
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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,done)*(-val(icoeff)) + zt(k)
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else
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call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
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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,done,z)*(-val(icoeff)) + zt(k)
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else
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call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
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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
|
||||
if (ix==idim) then
|
||||
zt(k) = g(done,y,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=dzero
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ctxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info,mold=imold)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ctxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) then
|
||||
if (present(amold)) then
|
||||
call psb_spasb(a,desc_a,info,mold=amold,bld_and=tnd)
|
||||
else
|
||||
call psb_spasb(a,desc_a,info,afmt=afmt,bld_and=tnd)
|
||||
end if
|
||||
end if
|
||||
call psb_barrier(ctxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info,mold=vmold)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info,mold=vmold)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ctxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ctxt,talc)
|
||||
call psb_amx(ctxt,tgen)
|
||||
call psb_amx(ctxt,tasb)
|
||||
call psb_amx(ctxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 call psb_error_handler(ctxt,err_act)
|
||||
|
||||
return
|
||||
end subroutine psb_d_gen_pde3d
|
||||
|
||||
|
||||
end module psb_d_pde3d_mod
|
||||
|
||||
|
||||
|
||||
program test
|
||||
use psb_base_mod
|
||||
use psb_ext_mod
|
||||
use psb_oacc_mod
|
||||
use psb_d_pde3d_mod
|
||||
|
||||
implicit none
|
||||
integer(psb_ipk_) :: n, i, info, m, nrm, nz
|
||||
integer(psb_ipk_), parameter :: ntests=80, ngpu=20
|
||||
real(psb_dpk_) :: dot_dev, dot_host
|
||||
type(psb_d_vect_oacc) :: tx, ty
|
||||
type(psb_d_oacc_csr_sparse_mat) :: aacsr
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, csflp, elflp
|
||||
double precision, external :: etime
|
||||
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_desc_type) :: desc_a
|
||||
type(psb_d_vect_type) :: xxv, bv
|
||||
type(psb_d_csr_sparse_mat) :: acsr
|
||||
character(len=5) :: afmt='csr'
|
||||
real(psb_dpk_), allocatable :: vv(:), ydev(:), yhost(:)
|
||||
type(psb_ctxt_type) :: ctxt
|
||||
integer(psb_ipk_) :: iam, np, nth, idim
|
||||
integer(psb_epk_) :: neq
|
||||
|
||||
call psb_init(ctxt)
|
||||
call psb_info(ctxt, iam, np)
|
||||
|
||||
write(*,*) 'Enter size :'
|
||||
read(*,*) idim
|
||||
idim = max(1, idim)
|
||||
|
||||
n = idim**3
|
||||
call psb_gen_pde3d(ctxt, idim, a, bv, xxv, desc_a, afmt, info)
|
||||
call a%cp_to(acsr)
|
||||
m = acsr%get_nrows()
|
||||
n = acsr%get_ncols()
|
||||
nz = acsr%get_nzeros()
|
||||
call aacsr%all(m, n, nz, info)
|
||||
aacsr%val = (acsr%val)
|
||||
aacsr%ja = (acsr%ja)
|
||||
aacsr%irp = (acsr%irp)
|
||||
call aacsr%set_host()
|
||||
call aacsr%sync()
|
||||
|
||||
call initialize(n)
|
||||
|
||||
call to_host()
|
||||
t2 = etime()
|
||||
do i = 1, ntests
|
||||
dot_host = h_dot(n)
|
||||
end do
|
||||
t3 = etime()
|
||||
|
||||
call tx%all(n, info)
|
||||
call ty%all(n, info)
|
||||
vv = bv%get_vect()
|
||||
call bv%set_vect(v1)
|
||||
call tx%set_vect(v1)
|
||||
call ty%set_vect(v2)
|
||||
t0 = etime()
|
||||
do i = 1, ntests * ngpu
|
||||
dot_dev = tx%dot_v(n, ty)
|
||||
end do
|
||||
!$acc wait
|
||||
t1 = etime()
|
||||
write(*,*) ' Dot Results : dev:', dot_dev, ' host:', dot_host
|
||||
write(*,*) ' Timing : dev:', t1 - t0, (t1 - t0) / (ntests * ngpu), &
|
||||
' host:', t3 - t2, (t3 - t2) / ntests
|
||||
|
||||
call a%mv_from(acsr)
|
||||
t2 = etime()
|
||||
do i = 1, ntests
|
||||
call a%spmm(done, bv, dzero, xxv, info)
|
||||
end do
|
||||
t3 = etime()
|
||||
yhost = xxv%get_vect()
|
||||
t0 = etime()
|
||||
do i = 1, ntests * ngpu
|
||||
call aacsr%vect_mv(done, tx, dzero, ty, info)
|
||||
end do
|
||||
!$acc wait
|
||||
t1 = etime()
|
||||
ydev = ty%get_vect()
|
||||
write(*,*) 'Correctness check: ', maxval(abs(ydev(:) - yhost(:)))
|
||||
write(*,*) ' CSR PROD '
|
||||
write(*, '(2(a,f12.3,2x))') ' Timing (ms): '
|
||||
csflp = 2.d0 * nz / ((t1 - t0) / (ntests * ngpu))
|
||||
write(*, '(2(a,f12.3,2x))') ' dev:', 1e3 * (t1 - t0) / (ntests * ngpu), ' :', csflp / 1.d6
|
||||
csflp = 2.d0 * nz / ((t3 - t2) / (ntests))
|
||||
write(*, '(2(a,f12.3,2x))') ' host:', 1e3 * (t3 - t2) / ntests, ' :', csflp / 1.d6
|
||||
write(*,*) 'Done'
|
||||
|
||||
call tx%free(info)
|
||||
call ty%free(info)
|
||||
call finalize_dev()
|
||||
call finalize_host()
|
||||
call psb_exit(ctxt)
|
||||
end program test
|
||||
File diff suppressed because it is too large
Load Diff
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Reference in New Issue