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1101 lines
38 KiB
Fortran
1101 lines
38 KiB
Fortran
!
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!
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! AMG4PSBLAS version 1.0
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! Algebraic Multigrid Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2020
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Fabio Durastante
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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 AMG4PSBLAS 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 AMG4PSBLAS 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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! File: amg_s_pde3d.f90
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!
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! Program: amg_s_pde3d
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! This sample program solves a linear system obtained by discretizing a
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! PDE with Dirichlet BCs.
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!
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!
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! The PDE is a general second order equation in 3d
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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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! There are three choices available for data distribution:
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! 1. A simple BLOCK distribution
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! 2. A ditribution based on arbitrary assignment of indices to processes,
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! typically from a graph partitioner
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! 3. A 3D distribution in which the unit cube is partitioned
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! into subcubes, each one assigned to a process.
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!
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module amg_s_pde3d_mod
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use psb_base_mod, only : psb_spk_, psb_ipk_, psb_lpk_, psb_desc_type,&
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& psb_sspmat_type, psb_s_vect_type, szero,&
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& psb_s_base_sparse_mat, psb_s_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 s_func_3d(x,y,z) result(val)
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import :: psb_spk_
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real(psb_spk_), intent(in) :: x,y,z
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real(psb_spk_) :: val
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end function s_func_3d
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end interface
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interface amg_gen_pde3d
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module procedure amg_s_gen_pde3d
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end interface amg_gen_pde3d
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contains
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function s_null_func_3d(x,y,z) result(val)
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real(psb_spk_), intent(in) :: x,y,z
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real(psb_spk_) :: val
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val = szero
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end function s_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. sone/sqrt((3*sone))
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!
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function b1(x,y,z)
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use psb_base_mod, only : psb_spk_, sone, szero
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implicit none
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real(psb_spk_) :: b1
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real(psb_spk_), intent(in) :: x,y,z
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b1=szero
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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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: b2
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real(psb_spk_), intent(in) :: x,y,z
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b2=szero
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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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: b3
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real(psb_spk_), intent(in) :: x,y,z
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b3=szero
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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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: c
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real(psb_spk_), intent(in) :: x,y,z
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c=szero
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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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: a1
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real(psb_spk_), intent(in) :: x,y,z
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a1=sone/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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: a2
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real(psb_spk_), intent(in) :: x,y,z
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a2=sone/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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: a3
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real(psb_spk_), intent(in) :: x,y,z
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a3=sone/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_spk_, sone, szero
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implicit none
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real(psb_spk_) :: g
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real(psb_spk_), intent(in) :: x,y,z
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g = szero
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if (x == sone) then
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g = sone
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else if (x == szero) 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 amg_s_gen_pde3d(ctxt,idim,a,bv,xv,desc_a,afmt,info,&
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& f,amold,vmold,imold,partition,nrl,iv)
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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_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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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(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 :: partition, nrl,iv(:)
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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_) :: 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_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=szero,one=sone,zero=szero
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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(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_ => s_null_func_3d
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end if
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deltah = sone/(idim+1)
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sqdeltah = deltah*deltah
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deltah2 = (2*sone)* 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 = 7*((n+np-1)/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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! 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(szero,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,szero,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,szero)*(-val(icoeff)) + zt(k)
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else
|
|
call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
|
|
irow(icoeff) = glob_row
|
|
icoeff = icoeff+1
|
|
endif
|
|
|
|
! term depending on (x,y,z)
|
|
val(icoeff)=(2*sone)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
|
|
& + c(x,y,z)
|
|
call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
|
|
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,sone)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
|
|
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,sone,z)*(-val(icoeff)) + zt(k)
|
|
else
|
|
call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
|
|
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(sone,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(:)=szero
|
|
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,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(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 amg_s_gen_pde3d
|
|
|
|
end module amg_s_pde3d_mod
|
|
|
|
program amg_s_pde3d
|
|
use psb_base_mod
|
|
use amg_prec_mod
|
|
use psb_krylov_mod
|
|
use psb_util_mod
|
|
use data_input
|
|
use amg_s_pde3d_mod
|
|
implicit none
|
|
|
|
! input parameters
|
|
character(len=20) :: kmethd, ptype
|
|
character(len=5) :: afmt
|
|
integer(psb_ipk_) :: idim
|
|
integer(psb_epk_) :: system_size
|
|
|
|
! miscellaneous
|
|
real(psb_dpk_) :: t1, t2, tprec, thier, tslv
|
|
|
|
! sparse matrix and preconditioner
|
|
type(psb_sspmat_type) :: a
|
|
type(amg_sprec_type) :: prec
|
|
! descriptor
|
|
type(psb_desc_type) :: desc_a
|
|
! dense vectors
|
|
type(psb_s_vect_type) :: x,b,r
|
|
! parallel environment
|
|
type(psb_ctxt_type) :: ctxt
|
|
integer(psb_ipk_) :: iam, np
|
|
|
|
! solver parameters
|
|
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
|
|
integer(psb_epk_) :: amatsize, precsize, descsize
|
|
real(psb_spk_) :: err, resmx, resmxp
|
|
|
|
! Krylov solver data
|
|
type solverdata
|
|
character(len=40) :: kmethd ! Krylov solver
|
|
integer(psb_ipk_) :: istopc ! stopping criterion
|
|
integer(psb_ipk_) :: itmax ! maximum number of iterations
|
|
integer(psb_ipk_) :: itrace ! tracing
|
|
integer(psb_ipk_) :: irst ! restart
|
|
real(psb_spk_) :: eps ! stopping tolerance
|
|
end type solverdata
|
|
type(solverdata) :: s_choice
|
|
|
|
! preconditioner data
|
|
type precdata
|
|
|
|
! preconditioner type
|
|
character(len=40) :: descr ! verbose description of the prec
|
|
character(len=10) :: ptype ! preconditioner type
|
|
|
|
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
|
|
! AMG cycles for ML
|
|
! general AMG data
|
|
character(len=16) :: mlcycle ! AMG cycle type
|
|
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
|
|
|
|
! AMG aggregation
|
|
character(len=16) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
|
|
character(len=16) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
|
|
character(len=16) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
|
|
character(len=16) :: aggr_filter ! filtering: FILTER, NO_FILTER
|
|
real(psb_spk_) :: mncrratio ! minimum aggregation ratio
|
|
real(psb_spk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
|
|
integer(psb_ipk_) :: thrvsz ! size of threshold vector
|
|
real(psb_spk_) :: athres ! smoothed aggregation threshold
|
|
integer(psb_ipk_) :: csize ! minimum size of coarsest matrix
|
|
|
|
! AMG smoother or pre-smoother; also 1-lev preconditioner
|
|
character(len=16) :: smther ! (pre-)smoother type: BJAC, AS
|
|
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
|
|
integer(psb_ipk_) :: novr ! number of overlap layers
|
|
character(len=16) :: restr ! restriction over application of AS
|
|
character(len=16) :: prol ! prolongation over application of AS
|
|
character(len=16) :: solve ! local subsolver type: ILU, MILU, ILUT,
|
|
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
|
|
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
|
|
real(psb_spk_) :: thr ! threshold for ILUT factorization
|
|
|
|
! AMG post-smoother; ignored by 1-lev preconditioner
|
|
character(len=16) :: smther2 ! post-smoother type: BJAC, AS
|
|
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
|
|
integer(psb_ipk_) :: novr2 ! number of overlap layers
|
|
character(len=16) :: restr2 ! restriction over application of AS
|
|
character(len=16) :: prol2 ! prolongation over application of AS
|
|
character(len=16) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
|
|
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
|
|
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
|
|
real(psb_spk_) :: thr2 ! threshold for ILUT factorization
|
|
|
|
! coarsest-level solver
|
|
character(len=16) :: cmat ! coarsest matrix layout: REPL, DIST
|
|
character(len=16) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
|
|
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
|
|
! (repl. mat.)
|
|
character(len=16) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
|
|
! MILU, UMF, MUMPS, SLU
|
|
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
|
|
real(psb_spk_) :: cthres ! threshold for ILUT factorization
|
|
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
|
|
|
|
end type precdata
|
|
type(precdata) :: p_choice
|
|
|
|
! other variables
|
|
integer(psb_ipk_) :: info, i, k
|
|
character(len=20) :: name,ch_err
|
|
|
|
info=psb_success_
|
|
|
|
|
|
call psb_init(ctxt)
|
|
call psb_info(ctxt,iam,np)
|
|
|
|
if (iam < 0) then
|
|
! This should not happen, but just in case
|
|
call psb_exit(ctxt)
|
|
stop
|
|
endif
|
|
if(psb_get_errstatus() /= 0) goto 9999
|
|
name='amg_s_pde3d'
|
|
call psb_set_errverbosity(itwo)
|
|
!
|
|
! Hello world
|
|
!
|
|
if (iam == psb_root_) then
|
|
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
|
write(*,*) 'This is the ',trim(name),' sample program'
|
|
end if
|
|
|
|
!
|
|
! get parameters
|
|
!
|
|
call get_parms(ctxt,afmt,idim,s_choice,p_choice)
|
|
|
|
!
|
|
! allocate and fill in the coefficient matrix, rhs and initial guess
|
|
!
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,info)
|
|
call psb_barrier(ctxt)
|
|
t2 = psb_wtime() - t1
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='amg_gen_pde3d'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'(" ")')
|
|
!
|
|
! initialize the preconditioner
|
|
!
|
|
call prec%init(ctxt,p_choice%ptype,info)
|
|
select case(trim(psb_toupper(p_choice%ptype)))
|
|
case ('NONE','NOPREC')
|
|
! Do nothing, keep defaults
|
|
|
|
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
|
|
! 1-level sweeps from "outer_sweeps"
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
|
|
|
|
case ('BJAC')
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
|
|
call prec%set('sub_solve', p_choice%solve, info)
|
|
call prec%set('sub_fillin', p_choice%fill, info)
|
|
call prec%set('sub_iluthrs', p_choice%thr, info)
|
|
|
|
case('AS')
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
|
|
call prec%set('sub_ovr', p_choice%novr, info)
|
|
call prec%set('sub_restr', p_choice%restr, info)
|
|
call prec%set('sub_prol', p_choice%prol, info)
|
|
call prec%set('sub_solve', p_choice%solve, info)
|
|
call prec%set('sub_fillin', p_choice%fill, info)
|
|
call prec%set('sub_iluthrs', p_choice%thr, info)
|
|
|
|
case ('ML')
|
|
! multilevel preconditioner
|
|
|
|
call prec%set('ml_cycle', p_choice%mlcycle, info)
|
|
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
|
|
if (p_choice%csize>0)&
|
|
& call prec%set('min_coarse_size', p_choice%csize, info)
|
|
if (p_choice%mncrratio>1)&
|
|
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
|
|
if (p_choice%maxlevs>0)&
|
|
& call prec%set('max_levs', p_choice%maxlevs, info)
|
|
if (p_choice%athres >= dzero) &
|
|
& call prec%set('aggr_thresh', p_choice%athres, info)
|
|
if (p_choice%thrvsz>0) then
|
|
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
|
|
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
|
|
end do
|
|
end if
|
|
|
|
call prec%set('aggr_prol', p_choice%aggr_prol, info)
|
|
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
|
|
call prec%set('aggr_ord', p_choice%aggr_ord, info)
|
|
call prec%set('aggr_filter', p_choice%aggr_filter,info)
|
|
|
|
|
|
call prec%set('smoother_type', p_choice%smther, info)
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
|
|
|
|
select case (psb_toupper(p_choice%smther))
|
|
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI')
|
|
! do nothing
|
|
case default
|
|
call prec%set('sub_ovr', p_choice%novr, info)
|
|
call prec%set('sub_restr', p_choice%restr, info)
|
|
call prec%set('sub_prol', p_choice%prol, info)
|
|
call prec%set('sub_solve', p_choice%solve, info)
|
|
call prec%set('sub_fillin', p_choice%fill, info)
|
|
call prec%set('sub_iluthrs', p_choice%thr, info)
|
|
end select
|
|
|
|
if (psb_toupper(p_choice%smther2) /= 'NONE') then
|
|
call prec%set('smoother_type', p_choice%smther2, info,pos='post')
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps2, info,pos='post')
|
|
select case (psb_toupper(p_choice%smther2))
|
|
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI')
|
|
! do nothing
|
|
case default
|
|
call prec%set('sub_ovr', p_choice%novr2, info,pos='post')
|
|
call prec%set('sub_restr', p_choice%restr2, info,pos='post')
|
|
call prec%set('sub_prol', p_choice%prol2, info,pos='post')
|
|
call prec%set('sub_solve', p_choice%solve2, info,pos='post')
|
|
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
|
|
call prec%set('sub_iluthrs', p_choice%thr2, info,pos='post')
|
|
end select
|
|
end if
|
|
|
|
call prec%set('coarse_solve', p_choice%csolve, info)
|
|
if (psb_toupper(p_choice%csolve) == 'BJAC') &
|
|
& call prec%set('coarse_subsolve', p_choice%csbsolve, info)
|
|
call prec%set('coarse_mat', p_choice%cmat, info)
|
|
call prec%set('coarse_fillin', p_choice%cfill, info)
|
|
call prec%set('coarse_iluthrs', p_choice%cthres, info)
|
|
call prec%set('coarse_sweeps', p_choice%cjswp, info)
|
|
|
|
end select
|
|
|
|
! build the preconditioner
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%hierarchy_build(a,desc_a,info)
|
|
thier = psb_wtime()-t1
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='amg_hierarchy_bld')
|
|
goto 9999
|
|
end if
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%smoothers_build(a,desc_a,info)
|
|
tprec = psb_wtime()-t1
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='amg_smoothers_bld')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_amx(ctxt, thier)
|
|
call psb_amx(ctxt, tprec)
|
|
|
|
if(iam == psb_root_) then
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'("Preconditioner: ",a)') trim(p_choice%descr)
|
|
write(psb_out_unit,'("Preconditioner time: ",es12.5)')thier+tprec
|
|
write(psb_out_unit,'(" ")')
|
|
end if
|
|
|
|
!
|
|
! iterative method parameters
|
|
!
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_krylov(s_choice%kmethd,a,prec,b,x,s_choice%eps,&
|
|
& desc_a,info,itmax=s_choice%itmax,iter=iter,err=err,itrace=s_choice%itrace,&
|
|
& istop=s_choice%istopc,irst=s_choice%irst)
|
|
call psb_barrier(ctxt)
|
|
tslv = psb_wtime() - t1
|
|
|
|
call psb_amx(ctxt,tslv)
|
|
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='solver routine'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_barrier(ctxt)
|
|
tslv = psb_wtime() - t1
|
|
call psb_amx(ctxt,tslv)
|
|
|
|
! compute residual norms
|
|
call psb_geall(r,desc_a,info)
|
|
call r%zero()
|
|
call psb_geasb(r,desc_a,info)
|
|
call psb_geaxpby(sone,b,szero,r,desc_a,info)
|
|
call psb_spmm(-sone,a,x,sone,r,desc_a,info)
|
|
resmx = psb_genrm2(r,desc_a,info)
|
|
resmxp = psb_geamax(r,desc_a,info)
|
|
|
|
amatsize = a%sizeof()
|
|
descsize = desc_a%sizeof()
|
|
precsize = prec%sizeof()
|
|
system_size = desc_a%get_global_rows()
|
|
call psb_sum(ctxt,amatsize)
|
|
call psb_sum(ctxt,descsize)
|
|
call psb_sum(ctxt,precsize)
|
|
call prec%descr(iout=psb_out_unit)
|
|
if (iam == psb_root_) then
|
|
write(psb_out_unit,'("Computed solution on ",i8," processors")') np
|
|
write(psb_out_unit,'("Linear system size : ",i12)') system_size
|
|
write(psb_out_unit,'("Krylov method : ",a)') trim(s_choice%kmethd)
|
|
write(psb_out_unit,'("Preconditioner : ",a)') trim(p_choice%descr)
|
|
write(psb_out_unit,'("Iterations to convergence : ",i12)') iter
|
|
write(psb_out_unit,'("Relative error estimate on exit : ",es12.5)') err
|
|
write(psb_out_unit,'("Number of levels in hierarchy : ",i12)') prec%get_nlevs()
|
|
write(psb_out_unit,'("Time to build hierarchy : ",es12.5)') thier
|
|
write(psb_out_unit,'("Time to build smoothers : ",es12.5)') tprec
|
|
write(psb_out_unit,'("Total time for preconditioner : ",es12.5)') tprec+thier
|
|
write(psb_out_unit,'("Time to solve system : ",es12.5)') tslv
|
|
write(psb_out_unit,'("Time per iteration : ",es12.5)') tslv/iter
|
|
write(psb_out_unit,'("Total time : ",es12.5)') tslv+tprec+thier
|
|
write(psb_out_unit,'("Residual 2-norm : ",es12.5)') resmx
|
|
write(psb_out_unit,'("Residual inf-norm : ",es12.5)') resmxp
|
|
write(psb_out_unit,'("Total memory occupation for A : ",i12)') amatsize
|
|
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i12)') descsize
|
|
write(psb_out_unit,'("Total memory occupation for PREC : ",i12)') precsize
|
|
write(psb_out_unit,'("Storage format for A : ",a )') a%get_fmt()
|
|
write(psb_out_unit,'("Storage format for DESC_A : ",a )') desc_a%get_fmt()
|
|
|
|
end if
|
|
|
|
!
|
|
! cleanup storage and exit
|
|
!
|
|
call psb_gefree(b,desc_a,info)
|
|
call psb_gefree(x,desc_a,info)
|
|
call psb_spfree(a,desc_a,info)
|
|
call prec%free(info)
|
|
call psb_cdfree(desc_a,info)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='free routine'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
call psb_exit(ctxt)
|
|
stop
|
|
|
|
9999 continue
|
|
call psb_error(ctxt)
|
|
|
|
contains
|
|
!
|
|
! get iteration parameters from standard input
|
|
!
|
|
!
|
|
! get iteration parameters from standard input
|
|
!
|
|
subroutine get_parms(ctxt,afmt,idim,solve,prec)
|
|
|
|
implicit none
|
|
|
|
type(psb_ctxt_type) :: ctxt
|
|
integer(psb_ipk_) :: idim
|
|
character(len=*) :: afmt
|
|
type(solverdata) :: solve
|
|
type(precdata) :: prec
|
|
integer(psb_ipk_) :: iam, nm, np, inp_unit
|
|
character(len=1024) :: filename
|
|
|
|
call psb_info(ctxt,iam,np)
|
|
|
|
if (iam == psb_root_) then
|
|
if (command_argument_count()>0) then
|
|
call get_command_argument(1,filename)
|
|
inp_unit = 30
|
|
open(inp_unit,file=filename,action='read',iostat=info)
|
|
if (info /= 0) then
|
|
write(psb_err_unit,*) 'Could not open file ',filename,' for input'
|
|
call psb_abort(ctxt)
|
|
stop
|
|
else
|
|
write(psb_err_unit,*) 'Opened file ',trim(filename),' for input'
|
|
end if
|
|
else
|
|
inp_unit=psb_inp_unit
|
|
end if
|
|
! read input data
|
|
!
|
|
call read_data(afmt,inp_unit) ! matrix storage format
|
|
call read_data(idim,inp_unit) ! Discretization grid size
|
|
! Krylov solver data
|
|
call read_data(solve%kmethd,inp_unit) ! Krylov solver
|
|
call read_data(solve%istopc,inp_unit) ! stopping criterion
|
|
call read_data(solve%itmax,inp_unit) ! max num iterations
|
|
call read_data(solve%itrace,inp_unit) ! tracing
|
|
call read_data(solve%irst,inp_unit) ! restart
|
|
call read_data(solve%eps,inp_unit) ! tolerance
|
|
! preconditioner type
|
|
call read_data(prec%descr,inp_unit) ! verbose description of the prec
|
|
call read_data(prec%ptype,inp_unit) ! preconditioner type
|
|
! First smoother / 1-lev preconditioner
|
|
call read_data(prec%smther,inp_unit) ! smoother type
|
|
call read_data(prec%jsweeps,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
|
|
call read_data(prec%novr,inp_unit) ! number of overlap layers
|
|
call read_data(prec%restr,inp_unit) ! restriction over application of AS
|
|
call read_data(prec%prol,inp_unit) ! prolongation over application of AS
|
|
call read_data(prec%solve,inp_unit) ! local subsolver
|
|
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
|
|
call read_data(prec%thr,inp_unit) ! threshold for ILUT
|
|
! Second smoother/ AMG post-smoother (if NONE ignored in main)
|
|
call read_data(prec%smther2,inp_unit) ! smoother type
|
|
call read_data(prec%jsweeps2,inp_unit) ! (post-)smoother sweeps
|
|
call read_data(prec%novr2,inp_unit) ! number of overlap layers
|
|
call read_data(prec%restr2,inp_unit) ! restriction over application of AS
|
|
call read_data(prec%prol2,inp_unit) ! prolongation over application of AS
|
|
call read_data(prec%solve2,inp_unit) ! local subsolver
|
|
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
|
|
call read_data(prec%thr2,inp_unit) ! threshold for ILUT
|
|
! general AMG data
|
|
call read_data(prec%mlcycle,inp_unit) ! AMG cycle type
|
|
call read_data(prec%outer_sweeps,inp_unit) ! number of 1lev/outer sweeps
|
|
call read_data(prec%maxlevs,inp_unit) ! max number of levels in AMG prec
|
|
call read_data(prec%csize,inp_unit) ! min size coarsest mat
|
|
! aggregation
|
|
call read_data(prec%aggr_prol,inp_unit) ! aggregation type
|
|
call read_data(prec%par_aggr_alg,inp_unit) ! parallel aggregation alg
|
|
call read_data(prec%aggr_ord,inp_unit) ! ordering for aggregation
|
|
call read_data(prec%aggr_filter,inp_unit) ! filtering
|
|
call read_data(prec%mncrratio,inp_unit) ! minimum aggregation ratio
|
|
call read_data(prec%thrvsz,inp_unit) ! size of aggr thresh vector
|
|
if (prec%thrvsz > 0) then
|
|
call psb_realloc(prec%thrvsz,prec%athresv,info)
|
|
call read_data(prec%athresv,inp_unit) ! aggr thresh vector
|
|
else
|
|
read(inp_unit,*) ! dummy read to skip a record
|
|
end if
|
|
call read_data(prec%athres,inp_unit) ! smoothed aggr thresh
|
|
! coasest-level solver
|
|
call read_data(prec%csolve,inp_unit) ! coarsest-lev solver
|
|
call read_data(prec%csbsolve,inp_unit) ! coarsest-lev subsolver
|
|
call read_data(prec%cmat,inp_unit) ! coarsest mat layout
|
|
call read_data(prec%cfill,inp_unit) ! fill-in for incompl LU
|
|
call read_data(prec%cthres,inp_unit) ! Threshold for ILUT
|
|
call read_data(prec%cjswp,inp_unit) ! sweeps for GS/JAC subsolver
|
|
if (inp_unit /= psb_inp_unit) then
|
|
close(inp_unit)
|
|
end if
|
|
end if
|
|
|
|
call psb_bcast(ctxt,afmt)
|
|
call psb_bcast(ctxt,idim)
|
|
|
|
call psb_bcast(ctxt,solve%kmethd)
|
|
call psb_bcast(ctxt,solve%istopc)
|
|
call psb_bcast(ctxt,solve%itmax)
|
|
call psb_bcast(ctxt,solve%itrace)
|
|
call psb_bcast(ctxt,solve%irst)
|
|
call psb_bcast(ctxt,solve%eps)
|
|
|
|
call psb_bcast(ctxt,prec%descr)
|
|
call psb_bcast(ctxt,prec%ptype)
|
|
|
|
! broadcast first (pre-)smoother / 1-lev prec data
|
|
call psb_bcast(ctxt,prec%smther)
|
|
call psb_bcast(ctxt,prec%jsweeps)
|
|
call psb_bcast(ctxt,prec%novr)
|
|
call psb_bcast(ctxt,prec%restr)
|
|
call psb_bcast(ctxt,prec%prol)
|
|
call psb_bcast(ctxt,prec%solve)
|
|
call psb_bcast(ctxt,prec%fill)
|
|
call psb_bcast(ctxt,prec%thr)
|
|
! broadcast second (post-)smoother
|
|
call psb_bcast(ctxt,prec%smther2)
|
|
call psb_bcast(ctxt,prec%jsweeps2)
|
|
call psb_bcast(ctxt,prec%novr2)
|
|
call psb_bcast(ctxt,prec%restr2)
|
|
call psb_bcast(ctxt,prec%prol2)
|
|
call psb_bcast(ctxt,prec%solve2)
|
|
call psb_bcast(ctxt,prec%fill2)
|
|
call psb_bcast(ctxt,prec%thr2)
|
|
|
|
! broadcast AMG parameters
|
|
call psb_bcast(ctxt,prec%mlcycle)
|
|
call psb_bcast(ctxt,prec%outer_sweeps)
|
|
call psb_bcast(ctxt,prec%maxlevs)
|
|
|
|
call psb_bcast(ctxt,prec%aggr_prol)
|
|
call psb_bcast(ctxt,prec%par_aggr_alg)
|
|
call psb_bcast(ctxt,prec%aggr_ord)
|
|
call psb_bcast(ctxt,prec%aggr_filter)
|
|
call psb_bcast(ctxt,prec%mncrratio)
|
|
call psb_bcast(ctxt,prec%thrvsz)
|
|
if (prec%thrvsz > 0) then
|
|
if (iam /= psb_root_) call psb_realloc(prec%thrvsz,prec%athresv,info)
|
|
call psb_bcast(ctxt,prec%athresv)
|
|
end if
|
|
call psb_bcast(ctxt,prec%athres)
|
|
|
|
call psb_bcast(ctxt,prec%csize)
|
|
call psb_bcast(ctxt,prec%cmat)
|
|
call psb_bcast(ctxt,prec%csolve)
|
|
call psb_bcast(ctxt,prec%csbsolve)
|
|
call psb_bcast(ctxt,prec%cfill)
|
|
call psb_bcast(ctxt,prec%cthres)
|
|
call psb_bcast(ctxt,prec%cjswp)
|
|
|
|
|
|
end subroutine get_parms
|
|
|
|
end program amg_s_pde3d
|