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!!$
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!!$ Parallel Sparse BLAS version 3.4.1
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!!$ (C) Copyright 2015
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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 pdgenspmv
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use psb_base_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_dpk_), parameter :: one = 1.d0
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real(psb_dpk_) :: t1, t2, tprec, flops, tflops, tt1, tt2, bdwdth
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! sparse matrix and preconditioner
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type(psb_dspmat_type) :: a
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! descriptor
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type(psb_desc_type) :: desc_a
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! dense matrices
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type(psb_d_vect_type) :: xv,bv, vtst
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real(psb_dpk_), 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, nr
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integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size, annz, nbytes
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real(psb_dpk_) :: err, eps
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integer(psb_ipk_), parameter :: times=10
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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(itwo)
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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,afmt,idim)
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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 psb_gen_pde3d(ictxt,idim,a,bv,xv,desc_a,afmt,&
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& a1,a2,a3,b1,b2,b3,c,g,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='psb_gen_pde3d'
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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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call xv%set(done)
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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do i=1,times
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call psb_spmm(done,a,xv,dzero,bv,desc_a,info,'n')
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end do
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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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! FIXME: cache flush needed here
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call psb_barrier(ictxt)
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tt1 = psb_wtime()
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do i=1,times
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call psb_spmm(done,a,xv,dzero,bv,desc_a,info,'t')
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end do
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call psb_barrier(ictxt)
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tt2 = psb_wtime() - tt1
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call psb_amx(ictxt,tt2)
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call psb_amx(ictxt,t2)
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nr = desc_a%get_global_rows()
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annz = a%get_nzeros()
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amatsize = a%sizeof()
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descsize = psb_sizeof(desc_a)
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call psb_sum(ictxt,annz)
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call psb_sum(ictxt,amatsize)
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call psb_sum(ictxt,descsize)
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if (iam == psb_root_) then
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flops = 2.d0*times*annz
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tflops=flops
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write(psb_out_unit,'("Matrix: ell1 ",i0)') idim
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write(psb_out_unit,'("Test on : ",i20," processors")') np
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write(psb_out_unit,'("Size of matrix : ",i20," ")') nr
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write(psb_out_unit,'("Number of nonzeros : ",i20," ")') annz
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write(psb_out_unit,'("Memory occupation : ",i20," ")') amatsize
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write(psb_out_unit,'("Number of flops (",i0," prod) : ",F20.0," ")') times,flops
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flops = flops / (t2)
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tflops = tflops / (tt2)
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write(psb_out_unit,'("Time for ",i0," products (s) : ",F20.3)')times, t2
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write(psb_out_unit,'("Time per product (ms) : ",F20.3)') t2*1.d3/(1.d0*times)
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write(psb_out_unit,'("MFLOPS : ",F20.3)') flops/1.d6
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write(psb_out_unit,'("Time for ",i0," products (s) (trans.): ",F20.3)') times,tt2
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write(psb_out_unit,'("Time per product (ms) (trans.): ",F20.3)') tt2*1.d3/(1.d0*times)
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write(psb_out_unit,'("MFLOPS (trans.): ",F20.3)') tflops/1.d6
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!
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! This computation is valid for CSR
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!
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nbytes = nr*(2*psb_sizeof_dp + psb_sizeof_int)+&
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& annz*(psb_sizeof_dp + psb_sizeof_int)
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bdwdth = times*nbytes/(t2*1.d6)
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write(psb_out_unit,*)
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write(psb_out_unit,'("MBYTES/S : ",F20.3)') bdwdth
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bdwdth = times*nbytes/(tt2*1.d6)
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write(psb_out_unit,'("MBYTES/S (trans): ",F20.3)') bdwdth
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write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%get_fmt()
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write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
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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(xv,desc_a,info)
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call psb_spfree(a,desc_a,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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call psb_exit(ictxt)
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stop
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9999 call psb_error(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,afmt,idim)
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integer(psb_ipk_) :: ictxt
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character(len=*) :: afmt
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integer(psb_ipk_) :: idim
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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,*) afmt
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read(psb_inp_unit,*) idim
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endif
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call psb_bcast(ictxt,afmt)
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call psb_bcast(ictxt,idim)
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if (iam == 0) then
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write(psb_out_unit,'("Testing 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,'(" ")')
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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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! functions parametrizing the differential equation
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!
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function b1(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: b1
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real(psb_dpk_), intent(in) :: x,y,z
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b1=1.d0/sqrt(3.d0)
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end function b1
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function b2(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: b2
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real(psb_dpk_), intent(in) :: x,y,z
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b2=1.d0/sqrt(3.d0)
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end function b2
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function b3(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: b3
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real(psb_dpk_), intent(in) :: x,y,z
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b3=1.d0/sqrt(3.d0)
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end function b3
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function c(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: c
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real(psb_dpk_), intent(in) :: x,y,z
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c=0.d0
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end function c
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function a1(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: a1
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real(psb_dpk_), intent(in) :: x,y,z
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a1=1.d0/80
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end function a1
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function a2(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: a2
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real(psb_dpk_), intent(in) :: x,y,z
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a2=1.d0/80
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end function a2
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function a3(x,y,z)
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use psb_base_mod, only : psb_dpk_
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real(psb_dpk_) :: a3
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real(psb_dpk_), intent(in) :: x,y,z
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a3=1.d0/80
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end function a3
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function g(x,y,z)
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use psb_base_mod, only : psb_dpk_, done
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real(psb_dpk_) :: g
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real(psb_dpk_), intent(in) :: x,y,z
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g = dzero
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if (x == done) then
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g = done
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else if (x == dzero) then
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g = exp(y**2-z**2)
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end if
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end function g
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end program pdgenspmv
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