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c=======================================================================
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c Sparse Matrix Multiplication Package
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c
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c Randolph E. Bank and Craig C. Douglas
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c
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c na.bank@na-net.ornl.gov and na.cdouglas@na-net.ornl.gov
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c
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c Compile this with the following command (or a similar one):
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c
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c f77 -c -O smmp.f
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c
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c=======================================================================
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subroutine symbmm
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* (n, m, l,
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* ia, ja, diaga,
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* ib, jb, diagb,
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* ic, jc, diagc,
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* index)
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use psb_const_mod
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use psb_realloc_mod
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use psb_serial_mod, only: psb_msort
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c
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integer ia(*), ja(*), diaga,
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* ib(*), jb(*), diagb,
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* diagc,
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* index(*)
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integer, allocatable :: ic(:),jc(:)
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integer :: nze, info
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c$$$ integer, save :: iunit=11
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c
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c symbolic matrix multiply c=a*b
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c
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c$$$ open(iunit)
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c$$$ write(iunit,*) 'SYMBMM: ',n,m,l
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c$$$ write(iunit,*) 'SYMBMM: A:'
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c$$$ do i=1,n
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c$$$ write(iunit,*) 'Row:',i,' : ',ja(ia(i):ia(i+1)-1)
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c$$$ enddo
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c$$$ write(iunit,*) 'SYMBMM: B:'
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c$$$ do i=1,m
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c$$$ write(iunit,*) 'Row:',i,' : ',jb(ib(i):ib(i+1)-1)
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c$$$ enddo
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if (size(ic) < n+1) then
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write(0,*) 'Called realloc in SYMBMM '
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call psb_realloc(n+1,ic,info)
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if (info /=0) then
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write(0,*) 'realloc failed in SYMBMM ',info
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end if
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endif
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maxlmn = max(l,m,n)
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do 10 i=1,maxlmn
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index(i)=0
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10 continue
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if (diagc.eq.0) then
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ic(1)=1
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else
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ic(1)=n+2
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endif
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minlm = min(l,m)
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minmn = min(m,n)
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c
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c main loop
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c
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do 50 i=1,n
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c$$$ write(0,*) 'SYMBMM: 1 loop ',i,n,ia(i),ia(i+1)
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istart=-1
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length=0
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c
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c merge row lists
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c
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do 30 jj=ia(i),ia(i+1)
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c a = d + ...
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if (jj.eq.ia(i+1)) then
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if (diaga.eq.0 .or. i.gt.minmn) goto 30
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j = i
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else
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j=ja(jj)
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endif
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c b = d + ...
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if (index(j).eq.0 .and. diagb.eq.1 .and. j.le.minlm)then
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index(j)=istart
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istart=j
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length=length+1
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endif
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if ((j<1).or.(j>m)) then
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write(0,*) ' SymbMM: Problem with A ',i,jj,j,m
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endif
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do 20 k=ib(j),ib(j+1)-1
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if ((jb(k)<1).or.(jb(k)>maxlmn)) then
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write(0,*) 'Problem in SYMBMM 1:',j,k,jb(k),maxlmn
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else
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if(index(jb(k)).eq.0) then
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index(jb(k))=istart
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istart=jb(k)
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length=length+1
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endif
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endif
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20 continue
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30 continue
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c
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c row i of jc
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c
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if (diagc.eq.1 .and. index(i).ne.0) length = length - 1
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ic(i+1)=ic(i)+length
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if (ic(i+1) > size(jc)) then
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if (n > (2*i)) then
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nze = max(ic(i+1), ic(i)*((n+i-1)/i))
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else
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nze = max(ic(i+1), nint((dble(ic(i))*(dble(n)/i))) )
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endif
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call psb_realloc(nze,jc,info)
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end if
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do 40 j= ic(i),ic(i+1)-1
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if (diagc.eq.1 .and. istart.eq.i) then
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istart = index(istart)
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index(i) = 0
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endif
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jc(j)=istart
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istart=index(istart)
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index(jc(j))=0
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40 continue
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call psb_msort(jc(ic(i):ic(i)+length -1))
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c$$$ write(iunit,*) length,' : ',jc(ic(i):ic(i)+length-1)
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index(i) = 0
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50 continue
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c$$$ close(iunit)
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c$$$ iunit = iunit + 1
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c$$$ write(0,*) 'SYMBMM: on exit',ic(n+1)-1,jc(ic(n+1)-1)
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return
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end
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subroutine snumbmm(n, m, l,
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* ia, ja, diaga, a,
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* ib, jb, diagb, b,
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* ic, jc, diagc, c,
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* temp)
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use psb_const_mod
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c
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integer ia(*), ja(*), diaga,
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* ib(*), jb(*), diagb,
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* ic(*), jc(*), diagc
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c
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real(psb_spk_) a(*), b(*), c(*), temp(*),ajj
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c
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c numeric matrix multiply c=a*b
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c
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maxlmn = max(l,m,n)
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do 10 i = 1,maxlmn
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temp(i) = 0.
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10 continue
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minlm = min(l,m)
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minln = min(l,n)
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minmn = min(m,n)
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c
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c c = a*b
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c
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do 50 i = 1,n
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do 30 jj = ia(i),ia(i+1)
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c a = d + ...
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if (jj.eq.ia(i+1)) then
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if (diaga.eq.0 .or. i.gt.minmn) goto 30
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j = i
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ajj = a(i)
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else
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j=ja(jj)
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ajj = a(jj)
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endif
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c b = d + ...
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if (diagb.eq.1 .and. j.le.minlm)
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* temp(j) = temp(j) + ajj * b(j)
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if ((j<1).or.(j>m)) then
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write(0,*) ' NUMBMM: Problem with A ',i,jj,j,m
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endif
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do 20 k = ib(j),ib(j+1)-1
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if((jb(k)<1).or. (jb(k) > maxlmn)) then
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write(0,*) ' NUMBMM: jb problem',j,k,jb(k),maxlmn
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else
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temp(jb(k)) = temp(jb(k)) + ajj * b(k)
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endif
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20 continue
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30 continue
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c c = d + ...
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if (diagc.eq.1 .and. i.le.minln) then
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c(i) = temp(i)
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temp(i) = 0.
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endif
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c$$$ if (mod(i,100)==1)
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c$$$ + write(0,*) ' NUMBMM: Fixing row ',i,ic(i),ic(i+1)-1
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do 40 j = ic(i),ic(i+1)-1
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if((jc(j)<1).or. (jc(j) > maxlmn)) then
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write(0,*) ' NUMBMM: output problem',i,j,jc(j),maxlmn
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else
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c(j) = temp(jc(j))
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temp(jc(j)) = 0.
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endif
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40 continue
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50 continue
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return
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end
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subroutine numbmm(n, m, l,
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* ia, ja, diaga, a,
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* ib, jb, diagb, b,
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* ic, jc, diagc, c,
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* temp)
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use psb_const_mod
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c
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integer ia(*), ja(*), diaga,
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* ib(*), jb(*), diagb,
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* ic(*), jc(*), diagc
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c
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real(psb_dpk_) a(*), b(*), c(*), temp(*),ajj
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c
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c numeric matrix multiply c=a*b
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c
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maxlmn = max(l,m,n)
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do 10 i = 1,maxlmn
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temp(i) = 0.
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10 continue
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minlm = min(l,m)
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minln = min(l,n)
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minmn = min(m,n)
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c
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c c = a*b
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c
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do 50 i = 1,n
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do 30 jj = ia(i),ia(i+1)
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c a = d + ...
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if (jj.eq.ia(i+1)) then
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if (diaga.eq.0 .or. i.gt.minmn) goto 30
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j = i
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ajj = a(i)
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else
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j=ja(jj)
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ajj = a(jj)
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endif
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c b = d + ...
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if (diagb.eq.1 .and. j.le.minlm)
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* temp(j) = temp(j) + ajj * b(j)
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if ((j<1).or.(j>m)) then
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write(0,*) ' NUMBMM: Problem with A ',i,jj,j,m
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endif
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do 20 k = ib(j),ib(j+1)-1
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if((jb(k)<1).or. (jb(k) > maxlmn)) then
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write(0,*) ' NUMBMM: jb problem',j,k,jb(k),maxlmn
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else
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temp(jb(k)) = temp(jb(k)) + ajj * b(k)
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endif
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20 continue
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30 continue
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c c = d + ...
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if (diagc.eq.1 .and. i.le.minln) then
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c(i) = temp(i)
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temp(i) = 0.
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endif
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c$$$ if (mod(i,100)==1)
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c$$$ + write(0,*) ' NUMBMM: Fixing row ',i,ic(i),ic(i+1)-1
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do 40 j = ic(i),ic(i+1)-1
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if((jc(j)<1).or. (jc(j) > maxlmn)) then
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write(0,*) ' NUMBMM: output problem',i,j,jc(j),maxlmn
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else
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c(j) = temp(jc(j))
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temp(jc(j)) = 0.
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endif
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40 continue
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50 continue
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return
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end
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subroutine cnumbmm(n, m, l,
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* ia, ja, diaga, a,
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* ib, jb, diagb, b,
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* ic, jc, diagc, c,
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* temp)
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c
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use psb_const_mod
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integer ia(*), ja(*), diaga,
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* ib(*), jb(*), diagb,
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* ic(*), jc(*), diagc
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c
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complex(psb_spk_) a(*), b(*), c(*), temp(*),ajj
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c
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c numeric matrix multiply c=a*b
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c
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maxlmn = max(l,m,n)
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do 10 i = 1,maxlmn
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temp(i) = 0.
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10 continue
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minlm = min(l,m)
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minln = min(l,n)
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minmn = min(m,n)
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c
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c c = a*b
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c
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do 50 i = 1,n
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do 30 jj = ia(i),ia(i+1)
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c a = d + ...
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if (jj.eq.ia(i+1)) then
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if (diaga.eq.0 .or. i.gt.minmn) goto 30
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j = i
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ajj = a(i)
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else
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j=ja(jj)
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ajj = a(jj)
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endif
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c b = d + ...
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if (diagb.eq.1 .and. j.le.minlm)
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* temp(j) = temp(j) + ajj * b(j)
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if ((j<1).or.(j>m)) then
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write(0,*) ' NUMBMM: Problem with A ',i,jj,j,m
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endif
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do 20 k = ib(j),ib(j+1)-1
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if((jb(k)<1).or. (jb(k) > maxlmn)) then
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write(0,*) ' NUMBMM: jb problem',j,k,jb(k),maxlmn
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else
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temp(jb(k)) = temp(jb(k)) + ajj * b(k)
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endif
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20 continue
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30 continue
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c c = d + ...
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|
|
|
if (diagc.eq.1 .and. i.le.minln) then
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c(i) = temp(i)
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temp(i) = 0.
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endif
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|
c$$$ if (mod(i,100)==1)
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|
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|
c$$$ + write(0,*) ' NUMBMM: Fixing row ',i,ic(i),ic(i+1)-1
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do 40 j = ic(i),ic(i+1)-1
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|
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if((jc(j)<1).or. (jc(j) > maxlmn)) then
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|
|
write(0,*) ' NUMBMM: output problem',i,j,jc(j),maxlmn
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|
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else
|
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|
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|
c(j) = temp(jc(j))
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|
|
|
temp(jc(j)) = 0.
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|
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endif
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40 continue
|
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50 continue
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|
return
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|
|
|
end
|
|
|
|
|
subroutine znumbmm(n, m, l,
|
|
|
|
|
* ia, ja, diaga, a,
|
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|
|
|
* ib, jb, diagb, b,
|
|
|
|
|
* ic, jc, diagc, c,
|
|
|
|
|
* temp)
|
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|
|
|
c
|
|
|
|
|
use psb_const_mod
|
|
|
|
|
integer ia(*), ja(*), diaga,
|
|
|
|
|
* ib(*), jb(*), diagb,
|
|
|
|
|
* ic(*), jc(*), diagc
|
|
|
|
|
c
|
|
|
|
|
complex(psb_dpk_) a(*), b(*), c(*), temp(*),ajj
|
|
|
|
|
c
|
|
|
|
|
c numeric matrix multiply c=a*b
|
|
|
|
|
c
|
|
|
|
|
maxlmn = max(l,m,n)
|
|
|
|
|
do 10 i = 1,maxlmn
|
|
|
|
|
temp(i) = 0.
|
|
|
|
|
10 continue
|
|
|
|
|
minlm = min(l,m)
|
|
|
|
|
minln = min(l,n)
|
|
|
|
|
minmn = min(m,n)
|
|
|
|
|
c
|
|
|
|
|
c c = a*b
|
|
|
|
|
c
|
|
|
|
|
do 50 i = 1,n
|
|
|
|
|
do 30 jj = ia(i),ia(i+1)
|
|
|
|
|
c a = d + ...
|
|
|
|
|
if (jj.eq.ia(i+1)) then
|
|
|
|
|
if (diaga.eq.0 .or. i.gt.minmn) goto 30
|
|
|
|
|
j = i
|
|
|
|
|
ajj = a(i)
|
|
|
|
|
else
|
|
|
|
|
j=ja(jj)
|
|
|
|
|
ajj = a(jj)
|
|
|
|
|
endif
|
|
|
|
|
c b = d + ...
|
|
|
|
|
if (diagb.eq.1 .and. j.le.minlm)
|
|
|
|
|
* temp(j) = temp(j) + ajj * b(j)
|
|
|
|
|
if ((j<1).or.(j>m)) then
|
|
|
|
|
write(0,*) ' NUMBMM: Problem with A ',i,jj,j,m
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
do 20 k = ib(j),ib(j+1)-1
|
|
|
|
|
if((jb(k)<1).or. (jb(k) > maxlmn)) then
|
|
|
|
|
write(0,*) ' NUMBMM: jb problem',j,k,jb(k),maxlmn
|
|
|
|
|
else
|
|
|
|
|
temp(jb(k)) = temp(jb(k)) + ajj * b(k)
|
|
|
|
|
endif
|
|
|
|
|
20 continue
|
|
|
|
|
30 continue
|
|
|
|
|
c c = d + ...
|
|
|
|
|
if (diagc.eq.1 .and. i.le.minln) then
|
|
|
|
|
c(i) = temp(i)
|
|
|
|
|
temp(i) = 0.
|
|
|
|
|
endif
|
|
|
|
|
c$$$ if (mod(i,100)==1)
|
|
|
|
|
c$$$ + write(0,*) ' NUMBMM: Fixing row ',i,ic(i),ic(i+1)-1
|
|
|
|
|
do 40 j = ic(i),ic(i+1)-1
|
|
|
|
|
if((jc(j)<1).or. (jc(j) > maxlmn)) then
|
|
|
|
|
write(0,*) ' NUMBMM: output problem',i,j,jc(j),maxlmn
|
|
|
|
|
else
|
|
|
|
|
c(j) = temp(jc(j))
|
|
|
|
|
temp(jc(j)) = 0.
|
|
|
|
|
endif
|
|
|
|
|
40 continue
|
|
|
|
|
50 continue
|
|
|
|
|
return
|
|
|
|
|
end
|
