psblas3:
base/modules/psb_sort_mod.f90 test/pargen/Makefile test/pargen/ppde.f90 test/pargen/ppde3d.f90 test/pargen/runs/ppde.inp test/pargen/spde.f90 test/pargen/spde3d.f90 util/Makefile util/psb_d_genmat_impl.f90 util/psb_d_genmat_mod.f90 util/psb_d_genpde_impl.f90 util/psb_d_genpde_mod.f90 util/psb_s_genpde_impl.f90 util/psb_s_genpde_mod.f90 util/psb_util_mod.f90 Factored PDE generation code. Defined 2D code.psblas3-type-indexed
Salvatore Filippone
13 years ago
parent
80c02a507e
commit
0aa1bd1c24
@ -1,692 +0,0 @@
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!!$
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!!$ Parallel Sparse BLAS version 2.3.1
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!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the PSBLAS group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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! File: ppde.f90
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!
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! Program: ppde
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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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! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
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! - ------ - ------ - ------ + ----- + ------ + ------ + a4 u = 0
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! dxdx dydy dzdz dx dy dz
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!
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! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
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!
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! Example taken from:
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! C.T.Kelley
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! Iterative Methods for Linear and Nonlinear Equations
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! SIAM 1995
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!
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! In this sample program the index space of the discretized
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! computational domain is first numbered sequentially in a standard way,
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! then the corresponding vector is distributed according to a BLOCK
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! data distribution.
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!
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! Boundary conditions are set in a very simple way, by adding
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! equations of the form
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!
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! u(x,y) = exp(-x^2-y^2-z^2)
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!
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! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
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!
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program ppde
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use psb_base_mod
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use psb_prec_mod
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use psb_krylov_mod
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use psb_util_mod
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implicit none
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! input parameters
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character(len=20) :: kmethd, ptype
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character(len=5) :: afmt
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integer(psb_ipk_) :: idim
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! miscellaneous
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real(psb_spk_), parameter :: one = 1.0
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real(psb_dpk_) :: t1, t2, tprec
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! sparse matrix and preconditioner
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type(psb_sspmat_type) :: a
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type(psb_sprec_type) :: prec
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! descriptor
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type(psb_desc_type) :: desc_a, desc_b
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! dense matrices
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type(psb_s_vect_type) :: xxv,bv, vtst
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real(psb_spk_), allocatable :: tst(:)
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! blacs parameters
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integer(psb_ipk_) :: ictxt, iam, np
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! solver parameters
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integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst
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integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size
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real(psb_spk_) :: err, eps
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! other variables
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integer(psb_ipk_) :: info, i
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character(len=20) :: name,ch_err
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character(len=40) :: fname
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info=psb_success_
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call psb_init(ictxt)
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call psb_info(ictxt,iam,np)
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if (iam < 0) then
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! This should not happen, but just in case
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call psb_exit(ictxt)
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stop
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endif
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if(psb_get_errstatus() /= 0) goto 9999
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name='pde90'
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call psb_set_errverbosity(2)
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!
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! Hello world
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!
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if (iam == psb_root_) then
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write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
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write(*,*) 'This is the ',trim(name),' sample program'
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end if
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!
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! get parameters
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!
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call get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
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!
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! allocate and fill in the coefficient matrix, rhs and initial guess
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!
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call create_matrix(idim,a,bv,xxv,desc_a,ictxt,afmt,info)
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call psb_barrier(ictxt)
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t2 = psb_wtime() - t1
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='create_matrix'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (iam == psb_root_) write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
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if (iam == psb_root_) write(psb_out_unit,'(" ")')
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!!$ write(fname,'(a,i0,a)') 'pde-',idim,'.hb'
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!!$ call hb_write(a,info,filename=fname,rhs=b,key='PDEGEN',mtitle='MLD2P4 pdegen Test matrix ')
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!!$ write(fname,'(a,i2.2,a,i2.2,a)') 'amat-',iam,'-',np,'.mtx'
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!!$ call a%print(fname)
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!!$ call psb_cdprt(20+iam,desc_a,short=.false.)
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!!$ call psb_cdcpy(desc_a,desc_b,info)
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!!$ call psb_set_debug_level(9999)
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call psb_cdbldext(a,desc_a,2,desc_b,info,extype=psb_ovt_asov_)
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if (info /= 0) then
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write(0,*) 'Error from bldext'
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call psb_abort(ictxt)
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end if
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!
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! prepare the preconditioner.
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!
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if(iam == psb_root_) write(psb_out_unit,'("Setting preconditioner to : ",a)')ptype
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call psb_precinit(prec,ptype,info)
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call psb_precbld(a,desc_a,prec,info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='psb_precbld'
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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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tprec = psb_wtime()-t1
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call psb_amx(ictxt,tprec)
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if (iam == psb_root_) write(psb_out_unit,'("Preconditioner time : ",es12.5)')tprec
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if (iam == psb_root_) write(psb_out_unit,'(" ")')
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!
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! iterative method parameters
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!
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if(iam == psb_root_) write(psb_out_unit,'("Calling iterative method ",a)')kmethd
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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eps = 1.d-9
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call psb_krylov(kmethd,a,prec,bv,xxv,eps,desc_a,info,&
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& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='solver routine'
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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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call psb_barrier(ictxt)
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t2 = psb_wtime() - t1
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call psb_amx(ictxt,t2)
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amatsize = a%sizeof()
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descsize = desc_a%sizeof()
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precsize = prec%sizeof()
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call psb_sum(ictxt,amatsize)
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call psb_sum(ictxt,descsize)
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call psb_sum(ictxt,precsize)
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if (iam == psb_root_) then
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write(psb_out_unit,'(" ")')
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write(psb_out_unit,'("Time to solve matrix : ",es12.5)')t2
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write(psb_out_unit,'("Time per iteration : ",es12.5)')t2/iter
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write(psb_out_unit,'("Number of iterations : ",i0)')iter
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write(psb_out_unit,'("Convergence indicator on exit : ",es12.5)')err
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write(psb_out_unit,'("Info on exit : ",i0)')info
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write(psb_out_unit,'("Total memory occupation for A: ",i12)')amatsize
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write(psb_out_unit,'("Total memory occupation for PREC: ",i12)')precsize
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write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
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write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%indxmap%get_fmt()
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write(psb_out_unit,'("Storage type for DESC_B: ",a)') desc_b%indxmap%get_fmt()
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end if
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!
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if (.false.) then
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call psb_geall(tst,desc_b, info)
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call psb_geall(vtst,desc_b, info)
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vtst%v%v = iam+1
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call psb_geasb(vtst,desc_b,info)
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tst = vtst%get_vect()
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call psb_geasb(tst,desc_b,info)
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call psb_ovrl(vtst,desc_b,info,update=psb_avg_)
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call psb_ovrl(tst,desc_b,info,update=psb_avg_)
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write(0,*) iam,' After ovrl:',vtst%v%v
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write(0,*) iam,' After ovrl:',tst
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end if
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!
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! cleanup storage and exit
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!
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call psb_gefree(bv,desc_a,info)
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call psb_gefree(xxv,desc_a,info)
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call psb_spfree(a,desc_a,info)
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call psb_precfree(prec,info)
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call psb_cdfree(desc_a,info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='free routine'
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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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9999 continue
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if(info /= psb_success_) then
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call psb_error(ictxt)
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end if
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call psb_exit(ictxt)
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stop
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contains
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!
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! get iteration parameters from standard input
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!
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subroutine get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
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integer(psb_ipk_) :: ictxt
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character(len=*) :: kmethd, ptype, afmt
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integer(psb_ipk_) :: idim, istopc,itmax,itrace,irst
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integer(psb_ipk_) :: np, iam
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integer(psb_ipk_) :: intbuf(10), ip
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call psb_info(ictxt, iam, np)
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if (iam == 0) then
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read(psb_inp_unit,*) ip
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if (ip >= 3) then
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read(psb_inp_unit,*) kmethd
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read(psb_inp_unit,*) ptype
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read(psb_inp_unit,*) afmt
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! broadcast parameters to all processors
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call psb_bcast(ictxt,kmethd)
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call psb_bcast(ictxt,afmt)
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call psb_bcast(ictxt,ptype)
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read(psb_inp_unit,*) idim
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if (ip >= 4) then
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read(psb_inp_unit,*) istopc
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else
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istopc=1
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endif
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if (ip >= 5) then
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read(psb_inp_unit,*) itmax
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else
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itmax=500
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endif
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if (ip >= 6) then
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read(psb_inp_unit,*) itrace
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else
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itrace=-1
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endif
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if (ip >= 7) then
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read(psb_inp_unit,*) irst
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else
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irst=1
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endif
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! broadcast parameters to all processors
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intbuf(1) = idim
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intbuf(2) = istopc
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intbuf(3) = itmax
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intbuf(4) = itrace
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intbuf(5) = irst
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call psb_bcast(ictxt,intbuf(1:5))
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write(psb_out_unit,'("Solving matrix : ell1")')
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write(psb_out_unit,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
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write(psb_out_unit,'("Number of processors : ",i0)')np
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write(psb_out_unit,'("Data distribution : BLOCK")')
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write(psb_out_unit,'("Preconditioner : ",a)') ptype
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write(psb_out_unit,'("Iterative method : ",a)') kmethd
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write(psb_out_unit,'(" ")')
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else
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! wrong number of parameter, print an error message and exit
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call pr_usage(0)
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call psb_abort(ictxt)
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stop 1
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endif
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else
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call psb_bcast(ictxt,kmethd)
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call psb_bcast(ictxt,afmt)
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call psb_bcast(ictxt,ptype)
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call psb_bcast(ictxt,intbuf(1:5))
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idim = intbuf(1)
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istopc = intbuf(2)
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itmax = intbuf(3)
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itrace = intbuf(4)
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irst = intbuf(5)
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end if
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return
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end subroutine get_parms
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!
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! print an error message
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!
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subroutine pr_usage(iout)
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integer(psb_ipk_) :: iout
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write(iout,*)'incorrect parameter(s) found'
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write(iout,*)' usage: pde90 methd prec dim &
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&[istop itmax itrace]'
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write(iout,*)' where:'
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write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
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write(iout,*)' prec : bjac diag none'
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write(iout,*)' dim number of points along each axis'
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write(iout,*)' the size of the resulting linear '
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write(iout,*)' system is dim**3'
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write(iout,*)' istop stopping criterion 1, 2 '
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write(iout,*)' itmax maximum number of iterations [500] '
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write(iout,*)' itrace <=0 (no tracing, default) or '
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write(iout,*)' >= 1 do tracing every itrace'
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write(iout,*)' iterations '
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end subroutine pr_usage
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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 create_matrix(idim,a,bv,xxv,desc_a,ictxt,afmt,info)
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!
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! discretize the partial diferential equation
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!
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! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
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! - ------ - ------ - ------ + ----- + ------ + ------ + a4 u
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! dxdx dydy dzdz dx dy dz
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!
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! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
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!
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! Boundary conditions are set in a very simple way, by adding
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! equations of the form
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!
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! u(x,y) = exp(-x^2-y^2-z^2)
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!
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! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
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!
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use psb_base_mod
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use psb_mat_mod
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implicit none
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integer(psb_ipk_) :: idim
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integer(psb_ipk_), parameter :: nb=20
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type(psb_s_vect_type) :: xxv,bv
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type(psb_desc_type) :: desc_a
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integer(psb_ipk_) :: ictxt, info
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character :: afmt*5
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type(psb_sspmat_type) :: a
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type(psb_s_csc_sparse_mat) :: acsc
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type(psb_s_coo_sparse_mat) :: acoo
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type(psb_s_csr_sparse_mat) :: acsr
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real(psb_spk_) :: zt(nb),x,y,z
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integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
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integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
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integer(psb_ipk_) :: np, iam, nr, nt
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integer(psb_ipk_) :: element
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integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
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real(psb_spk_), allocatable :: val(:)
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! deltah dimension of each grid cell
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! deltat discretization time
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real(psb_spk_) :: deltah, sqdeltah, deltah2
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real(psb_spk_),parameter :: rhs=0.0,one=1.0,zero=0.0
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real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen
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real(psb_spk_) :: a1, a2, a3, a4, b1, b2, b3
|
||||
external :: a1, a2, a3, a4, b1, b2, b3
|
||||
integer(psb_ipk_) :: err_act
|
||||
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
deltah = 1.0/(idim-1)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim*idim
|
||||
n = m
|
||||
nnz = ((n*9)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xxv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
element = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
ix = glob_row/(idim*idim)
|
||||
else
|
||||
ix = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim
|
||||
else
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim+1
|
||||
endif
|
||||
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
|
||||
! x, y, x coordinates
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
z = iz*deltah
|
||||
|
||||
! check on boundary points
|
||||
zt(k) = 0.d0
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
if (ix == 1) then
|
||||
val(element) = -b1(x,y,z)/sqdeltah-a1(x,y,z)/deltah2
|
||||
zt(k) = exp(-x**2-y**2-z**2)*(-val(element))
|
||||
else
|
||||
val(element) = -b1(x,y,z)/sqdeltah-a1(x,y,z)/deltah2
|
||||
icol(element) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
if (iy == 1) then
|
||||
val(element) = -b2(x,y,z)/sqdeltah-a2(x,y,z)/deltah2
|
||||
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||
else
|
||||
val(element) = -b2(x,y,z)/sqdeltah-a2(x,y,z)/deltah2
|
||||
icol(element) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
if (iz == 1) then
|
||||
val(element)=-b3(x,y,z)/sqdeltah-a3(x,y,z)/deltah2
|
||||
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||
else
|
||||
val(element)=-b3(x,y,z)/sqdeltah-a3(x,y,z)/deltah2
|
||||
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
! term depending on (x,y,z)
|
||||
val(element)=(2*b1(x,y,z) + 2*b2(x,y,z) + 2*b3(x,y,z))/sqdeltah&
|
||||
& +a4(x,y,z)
|
||||
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
! term depending on (x,y,z+1)
|
||||
if (iz == idim) then
|
||||
val(element)=-b3(x,y,z)/sqdeltah+a3(x,y,z)/deltah2
|
||||
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||
else
|
||||
val(element)=-b3(x,y,z)/sqdeltah+a3(x,y,z)/deltah2
|
||||
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
if (iy == idim) then
|
||||
val(element)=-b2(x,y,z)/sqdeltah+a2(x,y,z)/deltah2
|
||||
zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element))
|
||||
else
|
||||
val(element)=-b2(x,y,z)/sqdeltah+a2(x,y,z)/deltah2
|
||||
icol(element) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
if (ix==idim) then
|
||||
val(element)=-b1(x,y,z)/sqdeltah+a1(x,y,z)/deltah2
|
||||
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
|
||||
else
|
||||
val(element)=-b1(x,y,z)/sqdeltah+a1(x,y,z)/deltah2
|
||||
icol(element) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(element) = glob_row
|
||||
element = element+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.d0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xxv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xxv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-assembly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine create_matrix
|
||||
end program ppde
|
||||
!
|
||||
! functions parametrizing the differential equation
|
||||
!
|
||||
function a1(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a1
|
||||
real(psb_spk_) :: x,y,z
|
||||
a1=1.414e0
|
||||
end function a1
|
||||
function a2(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a2
|
||||
real(psb_spk_) :: x,y,z
|
||||
a2=1.414e0
|
||||
end function a2
|
||||
function a3(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a3
|
||||
real(psb_spk_) :: x,y,z
|
||||
a3=1.414e0
|
||||
end function a3
|
||||
function a4(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a4
|
||||
real(psb_spk_) :: x,y,z
|
||||
a4=0.e0
|
||||
end function a4
|
||||
function b1(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b1
|
||||
real(psb_spk_) :: x,y,z
|
||||
b1=1.e0/80
|
||||
end function b1
|
||||
function b2(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b2
|
||||
real(psb_spk_) :: x,y,z
|
||||
b2=1.e0/80
|
||||
end function b2
|
||||
function b3(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b3
|
||||
real(psb_spk_) :: x,y,z
|
||||
b3=1.e0/80
|
||||
end function b3
|
||||
|
||||
|
||||
@ -0,0 +1,388 @@
|
||||
!!$
|
||||
!!$ Parallel Sparse BLAS version 2.3.1
|
||||
!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
||||
!!$
|
||||
!!$ Redistribution and use in source and binary forms, with or without
|
||||
!!$ modification, are permitted provided that the following conditions
|
||||
!!$ are met:
|
||||
!!$ 1. Redistributions of source code must retain the above copyright
|
||||
!!$ notice, this list of conditions and the following disclaimer.
|
||||
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
||||
!!$ notice, this list of conditions, and the following disclaimer in the
|
||||
!!$ documentation and/or other materials provided with the distribution.
|
||||
!!$ 3. The name of the PSBLAS group or the names of its contributors may
|
||||
!!$ not be used to endorse or promote products derived from this
|
||||
!!$ software without specific written permission.
|
||||
!!$
|
||||
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
|
||||
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
!!$ POSSIBILITY OF SUCH DAMAGE.
|
||||
!!$
|
||||
!!$
|
||||
! File: spde3d.f90
|
||||
!
|
||||
! Program: spde3d
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs.
|
||||
!
|
||||
!
|
||||
! The PDE is a general second order equation in 3d
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
! In this sample program the index space of the discretized
|
||||
! computational domain is first numbered sequentially in a standard way,
|
||||
! then the corresponding vector is distributed according to a BLOCK
|
||||
! data distribution.
|
||||
!
|
||||
!
|
||||
program spde3d
|
||||
use psb_base_mod
|
||||
use psb_prec_mod
|
||||
use psb_krylov_mod
|
||||
use psb_util_mod
|
||||
implicit none
|
||||
|
||||
! input parameters
|
||||
character(len=20) :: kmethd, ptype
|
||||
character(len=5) :: afmt
|
||||
integer(psb_ipk_) :: idim
|
||||
|
||||
! miscellaneous
|
||||
real(psb_spk_), parameter :: one = 1.e0
|
||||
real(psb_dpk_) :: t1, t2, tprec
|
||||
|
||||
! sparse matrix and preconditioner
|
||||
type(psb_sspmat_type) :: a
|
||||
type(psb_sprec_type) :: prec
|
||||
! descriptor
|
||||
type(psb_desc_type) :: desc_a
|
||||
! dense vectors
|
||||
type(psb_s_vect_type) :: xxv,bv
|
||||
! parallel environment
|
||||
integer(psb_ipk_) :: ictxt, iam, np
|
||||
|
||||
! solver parameters
|
||||
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst
|
||||
integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size
|
||||
real(psb_spk_) :: err, eps
|
||||
|
||||
! other variables
|
||||
integer(psb_ipk_) :: info, i
|
||||
character(len=20) :: name,ch_err
|
||||
character(len=40) :: fname
|
||||
|
||||
info=psb_success_
|
||||
|
||||
|
||||
call psb_init(ictxt)
|
||||
call psb_info(ictxt,iam,np)
|
||||
|
||||
if (iam < 0) then
|
||||
! This should not happen, but just in case
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
endif
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
name='pde3d90'
|
||||
call psb_set_errverbosity(2)
|
||||
!
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
!
|
||||
! get parameters
|
||||
!
|
||||
call get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
|
||||
|
||||
!
|
||||
! allocate and fill in the coefficient matrix, rhs and initial guess
|
||||
!
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_gen_prob3d(ictxt,idim,a,bv,xxv,desc_a,afmt,&
|
||||
& a1,a2,a3,b1,b2,b3,c,g,info)
|
||||
call psb_barrier(ictxt)
|
||||
t2 = psb_wtime() - t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='psb_gen_prob3d'
|
||||
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,'(" ")')
|
||||
!
|
||||
! prepare the preconditioner.
|
||||
!
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Setting preconditioner to : ",a)')ptype
|
||||
call psb_precinit(prec,ptype,info)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_precbld(a,desc_a,prec,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='psb_precbld'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
tprec = psb_wtime()-t1
|
||||
|
||||
call psb_amx(ictxt,tprec)
|
||||
|
||||
if (iam == psb_root_) write(psb_out_unit,'("Preconditioner time : ",es12.5)')tprec
|
||||
if (iam == psb_root_) write(psb_out_unit,'(" ")')
|
||||
!
|
||||
! iterative method parameters
|
||||
!
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Calling iterative method ",a)')kmethd
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
eps = 1.d-9
|
||||
call psb_krylov(kmethd,a,prec,bv,xxv,eps,desc_a,info,&
|
||||
& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
|
||||
|
||||
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(ictxt)
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
amatsize = a%sizeof()
|
||||
descsize = desc_a%sizeof()
|
||||
precsize = prec%sizeof()
|
||||
call psb_sum(ictxt,amatsize)
|
||||
call psb_sum(ictxt,descsize)
|
||||
call psb_sum(ictxt,precsize)
|
||||
|
||||
if (iam == psb_root_) then
|
||||
write(psb_out_unit,'(" ")')
|
||||
write(psb_out_unit,'("Time to solve matrix : ",es12.5)')t2
|
||||
write(psb_out_unit,'("Time per iteration : ",es12.5)')t2/iter
|
||||
write(psb_out_unit,'("Number of iterations : ",i0)')iter
|
||||
write(psb_out_unit,'("Convergence indicator on exit : ",es12.5)')err
|
||||
write(psb_out_unit,'("Info on exit : ",i0)')info
|
||||
write(psb_out_unit,'("Total memory occupation for A: ",i12)')amatsize
|
||||
write(psb_out_unit,'("Total memory occupation for PREC: ",i12)')precsize
|
||||
write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
|
||||
write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%indxmap%get_fmt()
|
||||
end if
|
||||
|
||||
|
||||
!
|
||||
! cleanup storage and exit
|
||||
!
|
||||
call psb_gefree(bv,desc_a,info)
|
||||
call psb_gefree(xxv,desc_a,info)
|
||||
call psb_spfree(a,desc_a,info)
|
||||
call psb_precfree(prec,info)
|
||||
call psb_cdfree(desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='free routine'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
9999 continue
|
||||
if(info /= psb_success_) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
!
|
||||
! get iteration parameters from standard input
|
||||
!
|
||||
subroutine get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
|
||||
integer(psb_ipk_) :: ictxt
|
||||
character(len=*) :: kmethd, ptype, afmt
|
||||
integer(psb_ipk_) :: idim, istopc,itmax,itrace,irst
|
||||
integer(psb_ipk_) :: np, iam
|
||||
integer(psb_ipk_) :: intbuf(10), ip
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
if (iam == 0) then
|
||||
read(psb_inp_unit,*) ip
|
||||
if (ip >= 3) then
|
||||
read(psb_inp_unit,*) kmethd
|
||||
read(psb_inp_unit,*) ptype
|
||||
read(psb_inp_unit,*) afmt
|
||||
|
||||
! broadcast parameters to all processors
|
||||
call psb_bcast(ictxt,kmethd)
|
||||
call psb_bcast(ictxt,afmt)
|
||||
call psb_bcast(ictxt,ptype)
|
||||
|
||||
|
||||
read(psb_inp_unit,*) idim
|
||||
if (ip >= 4) then
|
||||
read(psb_inp_unit,*) istopc
|
||||
else
|
||||
istopc=1
|
||||
endif
|
||||
if (ip >= 5) then
|
||||
read(psb_inp_unit,*) itmax
|
||||
else
|
||||
itmax=500
|
||||
endif
|
||||
if (ip >= 6) then
|
||||
read(psb_inp_unit,*) itrace
|
||||
else
|
||||
itrace=-1
|
||||
endif
|
||||
if (ip >= 7) then
|
||||
read(psb_inp_unit,*) irst
|
||||
else
|
||||
irst=1
|
||||
endif
|
||||
! broadcast parameters to all processors
|
||||
|
||||
intbuf(1) = idim
|
||||
intbuf(2) = istopc
|
||||
intbuf(3) = itmax
|
||||
intbuf(4) = itrace
|
||||
intbuf(5) = irst
|
||||
call psb_bcast(ictxt,intbuf(1:5))
|
||||
|
||||
write(psb_out_unit,'("Solving matrix : ell1")')
|
||||
write(psb_out_unit,&
|
||||
& '("Grid dimensions : ",i4," x ",i4," x ",i4)') &
|
||||
& idim,idim,idim
|
||||
write(psb_out_unit,'("Number of processors : ",i0)')np
|
||||
write(psb_out_unit,'("Data distribution : BLOCK")')
|
||||
write(psb_out_unit,'("Preconditioner : ",a)') ptype
|
||||
write(psb_out_unit,'("Iterative method : ",a)') kmethd
|
||||
write(psb_out_unit,'(" ")')
|
||||
else
|
||||
! wrong number of parameter, print an error message and exit
|
||||
call pr_usage(0)
|
||||
call psb_abort(ictxt)
|
||||
stop 1
|
||||
endif
|
||||
else
|
||||
call psb_bcast(ictxt,kmethd)
|
||||
call psb_bcast(ictxt,afmt)
|
||||
call psb_bcast(ictxt,ptype)
|
||||
call psb_bcast(ictxt,intbuf(1:5))
|
||||
idim = intbuf(1)
|
||||
istopc = intbuf(2)
|
||||
itmax = intbuf(3)
|
||||
itrace = intbuf(4)
|
||||
irst = intbuf(5)
|
||||
end if
|
||||
return
|
||||
|
||||
end subroutine get_parms
|
||||
!
|
||||
! print an error message
|
||||
!
|
||||
subroutine pr_usage(iout)
|
||||
integer(psb_ipk_) :: iout
|
||||
write(iout,*)'incorrect parameter(s) found'
|
||||
write(iout,*)' usage: pde3d90 methd prec dim &
|
||||
&[istop itmax itrace]'
|
||||
write(iout,*)' where:'
|
||||
write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
|
||||
write(iout,*)' prec : bjac diag none'
|
||||
write(iout,*)' dim number of points along each axis'
|
||||
write(iout,*)' the size of the resulting linear '
|
||||
write(iout,*)' system is dim**3'
|
||||
write(iout,*)' istop stopping criterion 1, 2 '
|
||||
write(iout,*)' itmax maximum number of iterations [500] '
|
||||
write(iout,*)' itrace <=0 (no tracing, default) or '
|
||||
write(iout,*)' >= 1 do tracing every itrace'
|
||||
write(iout,*)' iterations '
|
||||
end subroutine pr_usage
|
||||
|
||||
!
|
||||
! functions parametrizing the differential equation
|
||||
!
|
||||
function b1(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b1
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
b1=1.e0/sqrt(3.e0)
|
||||
end function b1
|
||||
function b2(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b2
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
b2=1.e0/sqrt(3.e0)
|
||||
end function b2
|
||||
function b3(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: b3
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
b3=1.e0/sqrt(3.e0)
|
||||
end function b3
|
||||
function c(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: c
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
c=0.e0
|
||||
end function c
|
||||
function a1(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a1
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
a1=1.e0/80
|
||||
end function a1
|
||||
function a2(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a2
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
a2=1.e0/80
|
||||
end function a2
|
||||
function a3(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_
|
||||
real(psb_spk_) :: a3
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
a3=1.e0/80
|
||||
end function a3
|
||||
function g(x,y,z)
|
||||
use psb_base_mod, only : psb_spk_, sone
|
||||
real(psb_spk_) :: g
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
g = szero
|
||||
if (x == sone) then
|
||||
g = sone
|
||||
else if (x == szero) then
|
||||
g = exp(y**2-z**2)
|
||||
end if
|
||||
end function g
|
||||
|
||||
end program spde3d
|
||||
|
||||
|
||||
@ -1,284 +0,0 @@
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs.
|
||||
!
|
||||
subroutine gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,a3,b1,b2,b3,c,g,info)
|
||||
use psb_base_mod
|
||||
use psb_d_genmat_mod, psb_protect_name => gen_prob3d
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = 0
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
implicit none
|
||||
procedure(d_func_3d) :: b1,b2,b3,c,a1,a2,a3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
|
||||
! Local variables.
|
||||
|
||||
integer(psb_ipk_), parameter :: nb=20
|
||||
type(psb_d_csc_sparse_mat) :: acsc
|
||||
type(psb_d_coo_sparse_mat) :: acoo
|
||||
type(psb_d_csr_sparse_mat) :: acsr
|
||||
real(psb_dpk_) :: zt(nb),x,y,z
|
||||
integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
||||
integer(psb_ipk_) :: np, iam, nr, nt
|
||||
integer(psb_ipk_) :: icoeff
|
||||
integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
|
||||
real(psb_dpk_), allocatable :: val(:)
|
||||
! deltah dimension of each grid cell
|
||||
! deltat discretization time
|
||||
real(psb_dpk_) :: deltah, sqdeltah, deltah2
|
||||
real(psb_dpk_), parameter :: rhs=0.d0,one=1.d0,zero=0.d0
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
||||
integer(psb_ipk_) :: err_act
|
||||
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
deltah = 1.d0/(idim+2)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.d0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim*idim
|
||||
n = m
|
||||
nnz = ((n*9)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
icoeff = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
ix = glob_row/(idim*idim)
|
||||
else
|
||||
ix = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim
|
||||
else
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim+1
|
||||
endif
|
||||
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
|
||||
! x, y, x coordinates
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
z = iz*deltah
|
||||
zt(k) = 0.d0
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
|
||||
if (ix == 1) then
|
||||
zt(k) = g(dzero,y,z)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
|
||||
if (iy == 1) then
|
||||
zt(k) = g(x,dzero,z)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
|
||||
if (iz == 1) then
|
||||
zt(k) = g(x,y,dzero)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
! term depending on (x,y,z)
|
||||
val(icoeff)=(2*a1(x,y,z) + 2*a2(x,y,z) + 2*a3(x,y,z))/sqdeltah&
|
||||
& +c(x,y,z)
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
! term depending on (x,y,z+1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
|
||||
if (iz == idim) then
|
||||
zt(k) = g(x,y,done)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
|
||||
if (iy == idim) then
|
||||
zt(k) = g(x,done,z)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
|
||||
if (ix==idim) then
|
||||
zt(k) = g(done,y,z)*(-val(icoeff))
|
||||
else
|
||||
icol(icoeff) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.d0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine gen_prob3d
|
||||
@ -1,41 +0,0 @@
|
||||
module psb_d_genmat_mod
|
||||
use psb_base_mod
|
||||
interface
|
||||
function d_func_3d(x,y,z) result(val)
|
||||
import :: psb_dpk_
|
||||
real(psb_dpk_), intent(in) :: x,y,z
|
||||
real(psb_dpk_) :: val
|
||||
end function d_func_3d
|
||||
end interface
|
||||
|
||||
interface
|
||||
subroutine gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,a3,b1,b2,b3,c,g,info)
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = 0
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if a1=a2=a3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
import :: psb_ipk_, psb_desc_type, psb_dspmat_type, psb_d_vect_type, d_func_3d
|
||||
implicit none
|
||||
procedure(d_func_3d) :: a1,a2,a3,c,b1,b2,b3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
end subroutine gen_prob3d
|
||||
end interface
|
||||
|
||||
|
||||
end module psb_d_genmat_mod
|
||||
@ -0,0 +1,563 @@
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs.
|
||||
!
|
||||
subroutine psb_d_gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,a3,b1,b2,b3,c,g,info,f)
|
||||
use psb_base_mod
|
||||
use psb_d_genpde_mod, psb_protect_name => psb_d_gen_prob3d
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
implicit none
|
||||
procedure(d_func_3d) :: b1,b2,b3,c,a1,a2,a3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_3d), optional :: f
|
||||
|
||||
! Local variables.
|
||||
|
||||
integer(psb_ipk_), parameter :: nb=20
|
||||
type(psb_d_csc_sparse_mat) :: acsc
|
||||
type(psb_d_coo_sparse_mat) :: acoo
|
||||
type(psb_d_csr_sparse_mat) :: acsr
|
||||
real(psb_dpk_) :: zt(nb),x,y,z
|
||||
integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
||||
integer(psb_ipk_) :: np, iam, nr, nt
|
||||
integer(psb_ipk_) :: icoeff
|
||||
integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
|
||||
real(psb_dpk_), allocatable :: val(:)
|
||||
! deltah dimension of each grid cell
|
||||
! deltat discretization time
|
||||
real(psb_dpk_) :: deltah, sqdeltah, deltah2
|
||||
real(psb_dpk_), parameter :: rhs=0.d0,one=1.d0,zero=0.d0
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
||||
integer(psb_ipk_) :: err_act
|
||||
procedure(d_func_3d), pointer :: f_
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
|
||||
if (present(f)) then
|
||||
f_ => f
|
||||
else
|
||||
f_ => d_null_func_3d
|
||||
end if
|
||||
|
||||
deltah = 1.d0/(idim+2)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.d0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim*idim
|
||||
n = m
|
||||
nnz = ((n*9)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
icoeff = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
ix = glob_row/(idim*idim)
|
||||
else
|
||||
ix = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim
|
||||
else
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim+1
|
||||
endif
|
||||
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
|
||||
! x, y, x coordinates
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
z = iz*deltah
|
||||
zt(k) = f_(x,y,z)
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
|
||||
if (ix == 1) then
|
||||
zt(k) = g(dzero,y,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
|
||||
if (iy == 1) then
|
||||
zt(k) = g(x,dzero,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
|
||||
if (iz == 1) then
|
||||
zt(k) = g(x,y,dzero)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
! term depending on (x,y,z)
|
||||
val(icoeff)=2.d0*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
|
||||
& + c(x,y,z)
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
! term depending on (x,y,z+1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
|
||||
if (iz == idim) then
|
||||
zt(k) = g(x,y,done)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
|
||||
if (iy == idim) then
|
||||
zt(k) = g(x,done,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
|
||||
if (ix==idim) then
|
||||
zt(k) = g(done,y,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.d0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine psb_d_gen_prob3d
|
||||
|
||||
|
||||
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs.
|
||||
!
|
||||
subroutine psb_d_gen_prob2d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,b1,b2,c,g,info,f)
|
||||
use psb_base_mod
|
||||
use psb_d_genpde_mod, psb_protect_name => psb_d_gen_prob2d
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
|
||||
! - ------ - ------ + ----- + ------ + c u = f
|
||||
! dxdx dydy dx dy
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit square 0<=x,y<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
implicit none
|
||||
procedure(d_func_2d) :: b1,b2,c,a1,a2,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_2d), optional :: f
|
||||
|
||||
! Local variables.
|
||||
|
||||
integer(psb_ipk_), parameter :: nb=20
|
||||
type(psb_d_csc_sparse_mat) :: acsc
|
||||
type(psb_d_coo_sparse_mat) :: acoo
|
||||
type(psb_d_csr_sparse_mat) :: acsr
|
||||
real(psb_dpk_) :: zt(nb),x,y,z
|
||||
integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
||||
integer(psb_ipk_) :: np, iam, nr, nt
|
||||
integer(psb_ipk_) :: icoeff
|
||||
integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
|
||||
real(psb_dpk_), allocatable :: val(:)
|
||||
! deltah dimension of each grid cell
|
||||
! deltat discretization time
|
||||
real(psb_dpk_) :: deltah, sqdeltah, deltah2
|
||||
real(psb_dpk_), parameter :: rhs=0.d0,one=1.d0,zero=0.d0
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
||||
integer(psb_ipk_) :: err_act
|
||||
procedure(d_func_2d), pointer :: f_
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
|
||||
if (present(f)) then
|
||||
f_ => f
|
||||
else
|
||||
f_ => d_null_func_2d
|
||||
end if
|
||||
|
||||
deltah = 1.d0/(idim+2)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.d0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim
|
||||
n = m
|
||||
nnz = ((n*7)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
icoeff = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim)) == 0) then
|
||||
ix = glob_row/(idim)
|
||||
else
|
||||
ix = glob_row/(idim)+1
|
||||
endif
|
||||
iy = (glob_row-(ix-1)*idim)
|
||||
! x, y
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
|
||||
zt(k) = f_(x,y)
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y)
|
||||
!
|
||||
val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
|
||||
if (ix == 1) then
|
||||
zt(k) = g(dzero,y)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-2)*idim+iy
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y-1)
|
||||
val(icoeff) = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
|
||||
if (iy == 1) then
|
||||
zt(k) = g(x,dzero)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim+(iy-1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
! term depending on (x,y)
|
||||
val(icoeff)=2.d0*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
|
||||
icol(icoeff) = (ix-1)*idim+iy
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
! term depending on (x,y+1)
|
||||
val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
|
||||
if (iy == idim) then
|
||||
zt(k) = g(x,done)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim+(iy+1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x+1,y)
|
||||
val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
|
||||
if (ix==idim) then
|
||||
zt(k) = g(done,y)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix)*idim+(iy)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.d0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine psb_d_gen_prob2d
|
||||
@ -0,0 +1,105 @@
|
||||
module psb_d_genpde_mod
|
||||
|
||||
use psb_base_mod, only : psb_dpk_, psb_ipk_, psb_desc_type,&
|
||||
& psb_dspmat_type, psb_d_vect_type, dzero
|
||||
|
||||
interface
|
||||
function d_func_3d(x,y,z) result(val)
|
||||
import :: psb_dpk_
|
||||
real(psb_dpk_), intent(in) :: x,y,z
|
||||
real(psb_dpk_) :: val
|
||||
end function d_func_3d
|
||||
end interface
|
||||
|
||||
interface psb_gen_prob3d
|
||||
subroutine psb_d_gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt, &
|
||||
& a1,a2,a3,b1,b2,b3,c,g,info,f)
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
import :: psb_ipk_, psb_desc_type, psb_dspmat_type, psb_d_vect_type, d_func_3d
|
||||
implicit none
|
||||
procedure(d_func_3d) :: a1,a2,a3,c,b1,b2,b3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_3d), optional :: f
|
||||
end subroutine psb_d_gen_prob3d
|
||||
end interface
|
||||
|
||||
|
||||
interface
|
||||
function d_func_2d(x,y) result(val)
|
||||
import :: psb_dpk_
|
||||
real(psb_dpk_), intent(in) :: x,y
|
||||
real(psb_dpk_) :: val
|
||||
end function d_func_2d
|
||||
end interface
|
||||
|
||||
interface psb_gen_prob2d
|
||||
subroutine psb_d_gen_prob2d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,b1,b2,c,g,info,f)
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
|
||||
! - ------ - ------ + ----- + ------ + c u = f
|
||||
! dxdx dydy dx dy
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit square 0<=x,y<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
import :: psb_ipk_, psb_desc_type, psb_dspmat_type, psb_d_vect_type, d_func_2d
|
||||
implicit none
|
||||
procedure(d_func_2d) :: a1,a2,c,b1,b2,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_dspmat_type) :: a
|
||||
type(psb_d_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_2d), optional :: f
|
||||
end subroutine psb_d_gen_prob2d
|
||||
end interface
|
||||
|
||||
contains
|
||||
|
||||
function d_null_func_3d(x,y,z) result(val)
|
||||
|
||||
real(psb_dpk_), intent(in) :: x,y,z
|
||||
real(psb_dpk_) :: val
|
||||
|
||||
val = dzero
|
||||
|
||||
end function d_null_func_3d
|
||||
|
||||
function d_null_func_2d(x,y) result(val)
|
||||
|
||||
real(psb_dpk_), intent(in) :: x,y
|
||||
real(psb_dpk_) :: val
|
||||
|
||||
val = dzero
|
||||
|
||||
end function d_null_func_2d
|
||||
|
||||
|
||||
end module psb_d_genpde_mod
|
||||
@ -0,0 +1,563 @@
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs.
|
||||
!
|
||||
subroutine psb_s_gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,a3,b1,b2,b3,c,g,info,f)
|
||||
use psb_base_mod
|
||||
use psb_s_genpde_mod, psb_protect_name => psb_s_gen_prob3d
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
implicit none
|
||||
procedure(d_func_3d) :: b1,b2,b3,c,a1,a2,a3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_sspmat_type) :: a
|
||||
type(psb_s_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_3d), optional :: f
|
||||
|
||||
! Local variables.
|
||||
|
||||
integer(psb_ipk_), parameter :: nb=20
|
||||
type(psb_s_csc_sparse_mat) :: acsc
|
||||
type(psb_s_coo_sparse_mat) :: acoo
|
||||
type(psb_s_csr_sparse_mat) :: acsr
|
||||
real(psb_spk_) :: zt(nb),x,y,z
|
||||
integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
||||
integer(psb_ipk_) :: np, iam, nr, nt
|
||||
integer(psb_ipk_) :: icoeff
|
||||
integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
|
||||
real(psb_spk_), allocatable :: val(:)
|
||||
! deltah dimension of each grid cell
|
||||
! deltat discretization time
|
||||
real(psb_spk_) :: deltah, sqdeltah, deltah2
|
||||
real(psb_spk_), parameter :: rhs=0.e0,one=1.e0,zero=0.e0
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
||||
integer(psb_ipk_) :: err_act
|
||||
procedure(d_func_3d), pointer :: f_
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
|
||||
if (present(f)) then
|
||||
f_ => f
|
||||
else
|
||||
f_ => d_null_func_3d
|
||||
end if
|
||||
|
||||
deltah = 1.e0/(idim+2)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.e0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim*idim
|
||||
n = m
|
||||
nnz = ((n*9)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
icoeff = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
ix = glob_row/(idim*idim)
|
||||
else
|
||||
ix = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim
|
||||
else
|
||||
iy = (glob_row-(ix-1)*idim*idim)/idim+1
|
||||
endif
|
||||
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
|
||||
! x, y, x coordinates
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
z = iz*deltah
|
||||
zt(k) = f_(x,y,z)
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
|
||||
if (ix == 1) then
|
||||
zt(k) = g(szero,y,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
|
||||
if (iy == 1) then
|
||||
zt(k) = g(x,szero,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
|
||||
if (iz == 1) then
|
||||
zt(k) = g(x,y,szero)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
! term depending on (x,y,z)
|
||||
val(icoeff)=2.e0*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
|
||||
& + c(x,y,z)
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
! term depending on (x,y,z+1)
|
||||
val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
|
||||
if (iz == idim) then
|
||||
zt(k) = g(x,y,sone)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
|
||||
if (iy == idim) then
|
||||
zt(k) = g(x,sone,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim*idim+(iy)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
|
||||
if (ix==idim) then
|
||||
zt(k) = g(sone,y,z)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix)*idim*idim+(iy-1)*idim+(iz)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.e0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine psb_s_gen_prob3d
|
||||
|
||||
|
||||
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs.
|
||||
!
|
||||
subroutine psb_s_gen_prob2d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,b1,b2,c,g,info,f)
|
||||
use psb_base_mod
|
||||
use psb_s_genpde_mod, psb_protect_name => psb_s_gen_prob2d
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
|
||||
! - ------ - ------ + ----- + ------ + c u = f
|
||||
! dxdx dydy dx dy
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit square 0<=x,y<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
implicit none
|
||||
procedure(d_func_2d) :: b1,b2,c,a1,a2,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_sspmat_type) :: a
|
||||
type(psb_s_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_2d), optional :: f
|
||||
|
||||
! Local variables.
|
||||
|
||||
integer(psb_ipk_), parameter :: nb=20
|
||||
type(psb_s_csc_sparse_mat) :: acsc
|
||||
type(psb_s_coo_sparse_mat) :: acoo
|
||||
type(psb_s_csr_sparse_mat) :: acsr
|
||||
real(psb_spk_) :: zt(nb),x,y,z
|
||||
integer(psb_ipk_) :: m,n,nnz,glob_row,nlr,i,ii,ib,k
|
||||
integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
|
||||
integer(psb_ipk_) :: np, iam, nr, nt
|
||||
integer(psb_ipk_) :: icoeff
|
||||
integer(psb_ipk_), allocatable :: irow(:),icol(:),myidx(:)
|
||||
real(psb_spk_), allocatable :: val(:)
|
||||
! deltah dimension of each grid cell
|
||||
! deltat discretization time
|
||||
real(psb_spk_) :: deltah, sqdeltah, deltah2
|
||||
real(psb_spk_), parameter :: rhs=0.e0,one=1.e0,zero=0.e0
|
||||
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen, tcdasb
|
||||
integer(psb_ipk_) :: err_act
|
||||
procedure(d_func_2d), pointer :: f_
|
||||
character(len=20) :: name, ch_err,tmpfmt
|
||||
|
||||
info = psb_success_
|
||||
name = 'create_matrix'
|
||||
call psb_erractionsave(err_act)
|
||||
|
||||
call psb_info(ictxt, iam, np)
|
||||
|
||||
|
||||
if (present(f)) then
|
||||
f_ => f
|
||||
else
|
||||
f_ => d_null_func_2d
|
||||
end if
|
||||
|
||||
deltah = 1.e0/(idim+2)
|
||||
sqdeltah = deltah*deltah
|
||||
deltah2 = 2.e0* deltah
|
||||
|
||||
! initialize array descriptor and sparse matrix storage. provide an
|
||||
! estimate of the number of non zeroes
|
||||
|
||||
m = idim*idim
|
||||
n = m
|
||||
nnz = ((n*7)/(np))
|
||||
if(iam == psb_root_) write(psb_out_unit,'("Generating Matrix (size=",i0,")...")')n
|
||||
|
||||
!
|
||||
! Using a simple BLOCK distribution.
|
||||
!
|
||||
nt = (m+np-1)/np
|
||||
nr = max(0,min(nt,m-(iam*nt)))
|
||||
|
||||
nt = nr
|
||||
call psb_sum(ictxt,nt)
|
||||
if (nt /= m) write(psb_err_unit,*) iam, 'Initialization error ',nr,nt,m
|
||||
call psb_barrier(ictxt)
|
||||
t0 = psb_wtime()
|
||||
call psb_cdall(ictxt,desc_a,info,nl=nr)
|
||||
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
if (info == psb_success_) call psb_geall(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geall(bv,desc_a,info)
|
||||
nlr = desc_a%get_local_rows()
|
||||
call psb_barrier(ictxt)
|
||||
talc = psb_wtime()-t0
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='allocation rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! we build an auxiliary matrix consisting of one row at a
|
||||
! time; just a small matrix. might be extended to generate
|
||||
! a bunch of rows per call.
|
||||
!
|
||||
allocate(val(20*nb),irow(20*nb),&
|
||||
&icol(20*nb),myidx(nlr),stat=info)
|
||||
if (info /= psb_success_ ) then
|
||||
info=psb_err_alloc_dealloc_
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
do i=1,nlr
|
||||
myidx(i) = i
|
||||
end do
|
||||
|
||||
|
||||
call psb_loc_to_glob(myidx,desc_a,info)
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
do ii=1, nlr,nb
|
||||
ib = min(nb,nlr-ii+1)
|
||||
icoeff = 1
|
||||
do k=1,ib
|
||||
i=ii+k-1
|
||||
! local matrix pointer
|
||||
glob_row=myidx(i)
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim)) == 0) then
|
||||
ix = glob_row/(idim)
|
||||
else
|
||||
ix = glob_row/(idim)+1
|
||||
endif
|
||||
iy = (glob_row-(ix-1)*idim)
|
||||
! x, y
|
||||
x = ix*deltah
|
||||
y = iy*deltah
|
||||
|
||||
zt(k) = f_(x,y)
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y)
|
||||
!
|
||||
val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
|
||||
if (ix == 1) then
|
||||
zt(k) = g(szero,y)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-2)*idim+iy
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x,y-1)
|
||||
val(icoeff) = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
|
||||
if (iy == 1) then
|
||||
zt(k) = g(x,szero)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim+(iy-1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
! term depending on (x,y)
|
||||
val(icoeff)=2.e0*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
|
||||
icol(icoeff) = (ix-1)*idim+iy
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
! term depending on (x,y+1)
|
||||
val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
|
||||
if (iy == idim) then
|
||||
zt(k) = g(x,sone)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix-1)*idim+(iy+1)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
! term depending on (x+1,y)
|
||||
val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
|
||||
if (ix==idim) then
|
||||
zt(k) = g(sone,y)*(-val(icoeff)) + zt(k)
|
||||
else
|
||||
icol(icoeff) = (ix)*idim+(iy)
|
||||
irow(icoeff) = glob_row
|
||||
icoeff = icoeff+1
|
||||
endif
|
||||
|
||||
end do
|
||||
call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
zt(:)=0.e0
|
||||
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
|
||||
if(info /= psb_success_) exit
|
||||
end do
|
||||
|
||||
tgen = psb_wtime()-t1
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='insert rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
tcdasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
if (info == psb_success_) &
|
||||
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
||||
call psb_barrier(ictxt)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
if (info == psb_success_) call psb_geasb(xv,desc_a,info)
|
||||
if (info == psb_success_) call psb_geasb(bv,desc_a,info)
|
||||
if(info /= psb_success_) then
|
||||
info=psb_err_from_subroutine_
|
||||
ch_err='asb rout.'
|
||||
call psb_errpush(info,name,a_err=ch_err)
|
||||
goto 9999
|
||||
end if
|
||||
tasb = psb_wtime()-t1
|
||||
call psb_barrier(ictxt)
|
||||
ttot = psb_wtime() - t0
|
||||
|
||||
call psb_amx(ictxt,talc)
|
||||
call psb_amx(ictxt,tgen)
|
||||
call psb_amx(ictxt,tasb)
|
||||
call psb_amx(ictxt,ttot)
|
||||
if(iam == psb_root_) then
|
||||
tmpfmt = a%get_fmt()
|
||||
write(psb_out_unit,'("The matrix has been generated and assembled in ",a3," format.")')&
|
||||
& tmpfmt
|
||||
write(psb_out_unit,'("-allocation time : ",es12.5)') talc
|
||||
write(psb_out_unit,'("-coeff. gen. time : ",es12.5)') tgen
|
||||
write(psb_out_unit,'("-desc asbly time : ",es12.5)') tcdasb
|
||||
write(psb_out_unit,'("- mat asbly time : ",es12.5)') tasb
|
||||
write(psb_out_unit,'("-total time : ",es12.5)') ttot
|
||||
|
||||
end if
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act == psb_act_abort_) then
|
||||
call psb_error(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine psb_s_gen_prob2d
|
||||
@ -0,0 +1,105 @@
|
||||
module psb_s_genpde_mod
|
||||
|
||||
use psb_base_mod, only : psb_spk_, psb_ipk_, psb_desc_type,&
|
||||
& psb_sspmat_type, psb_s_vect_type, szero
|
||||
|
||||
interface
|
||||
function d_func_3d(x,y,z) result(val)
|
||||
import :: psb_spk_
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
real(psb_spk_) :: val
|
||||
end function d_func_3d
|
||||
end interface
|
||||
|
||||
interface psb_gen_prob3d
|
||||
subroutine psb_s_gen_prob3d(ictxt,idim,a,bv,xv,desc_a,afmt,&
|
||||
& a1,a2,a3,b1,b2,b3,c,g,info,f)
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
||||
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
||||
! dxdx dydy dzdz dx dy dz
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit cube 0<=x,y,z<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type, d_func_3d
|
||||
implicit none
|
||||
procedure(d_func_3d) :: a1,a2,a3,c,b1,b2,b3,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_sspmat_type) :: a
|
||||
type(psb_s_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_3d), optional :: f
|
||||
end subroutine psb_s_gen_prob3d
|
||||
end interface
|
||||
|
||||
|
||||
interface
|
||||
function d_func_2d(x,y) result(val)
|
||||
import :: psb_spk_
|
||||
real(psb_spk_), intent(in) :: x,y
|
||||
real(psb_spk_) :: val
|
||||
end function d_func_2d
|
||||
end interface
|
||||
|
||||
interface psb_gen_prob2d
|
||||
subroutine psb_s_gen_prob2d(ictxt,idim,a,bv,xv,desc_a,afmt,a1,a2,b1,b2,c,g,info,f)
|
||||
!
|
||||
! Discretizes the partial differential equation
|
||||
!
|
||||
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
|
||||
! - ------ - ------ + ----- + ------ + c u = f
|
||||
! dxdx dydy dx dy
|
||||
!
|
||||
! with Dirichlet boundary conditions
|
||||
! u = g
|
||||
!
|
||||
! on the unit square 0<=x,y<=1.
|
||||
!
|
||||
!
|
||||
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
|
||||
!
|
||||
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type, d_func_2d
|
||||
implicit none
|
||||
procedure(d_func_2d) :: a1,a2,c,b1,b2,g
|
||||
integer(psb_ipk_) :: idim
|
||||
type(psb_sspmat_type) :: a
|
||||
type(psb_s_vect_type) :: xv,bv
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer(psb_ipk_) :: ictxt, info
|
||||
character :: afmt*5
|
||||
procedure(d_func_2d), optional :: f
|
||||
end subroutine psb_s_gen_prob2d
|
||||
end interface
|
||||
|
||||
contains
|
||||
|
||||
function d_null_func_3d(x,y,z) result(val)
|
||||
|
||||
real(psb_spk_), intent(in) :: x,y,z
|
||||
real(psb_spk_) :: val
|
||||
|
||||
val = szero
|
||||
|
||||
end function d_null_func_3d
|
||||
|
||||
function d_null_func_2d(x,y) result(val)
|
||||
|
||||
real(psb_spk_), intent(in) :: x,y
|
||||
real(psb_spk_) :: val
|
||||
|
||||
val = szero
|
||||
|
||||
end function d_null_func_2d
|
||||
|
||||
|
||||
end module psb_s_genpde_mod
|
||||
Loading…
Reference in New Issue