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			376 lines
		
	
	
		
			8.8 KiB
		
	
	
	
		
			Fortran
		
	
	
	
	
	
			
		
		
	
	
			376 lines
		
	
	
		
			8.8 KiB
		
	
	
	
		
			Fortran
		
	
	
	
	
	
| subroutine osd128_90(llr,apmask,ndeep,message77,cw,nhardmin,dmin)
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| 
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| ! Ordered-statistics decoder for the (128,90) code.
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| 
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|   integer, parameter:: N=128, K=90, M=N-K
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|   integer*1 apmask(N),apmaskr(N)
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|   integer*1 gen(K,N)
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|   integer*1 genmrb(K,N),g2(N,K)
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|   integer*1 temp(K),m0(K),me(K),mi(K),misub(K),e2sub(N-K),e2(N-K),ui(N-K)
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|   integer*1 r2pat(N-K)
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|   integer indices(N),nxor(N)
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|   integer*1 cw(N),ce(N),c0(N),hdec(N)
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|   integer*1 decoded(K)
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|   integer*1 message77(77)
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|   integer indx(N)
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|   real llr(N),rx(N),absrx(N)
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| 
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|   include "ldpc_128_90_generator.f90"
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| 
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|   logical first,reset
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|   data first/.true./
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|   save first,gen
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| 
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|   if( first ) then ! fill the generator matrix
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|      gen=0
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|      do i=1,M
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|         do j=1,23
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|            read(g(i)(j:j),"(Z1)") istr
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|            ibmax=4
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|            if(j.eq.23) ibmax=2
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|            do jj=1, ibmax 
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|               irow=(j-1)*4+jj
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|               if( btest(istr,4-jj) ) gen(irow,K+i)=1 
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|            enddo
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|         enddo
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|      enddo
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|      do irow=1,K
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|         gen(irow,irow)=1
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|      enddo
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|      first=.false.
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|   endif
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| 
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|   rx=llr
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|   apmaskr=apmask
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|   d1=0.
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|   ntheta=0
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|   npre1=0
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|   npre2=0
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|   nt=0
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| 
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| ! Hard decisions on the received word.
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|   hdec=0            
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|   where(rx .ge. 0) hdec=1
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| 
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| ! Use magnitude of received symbols as a measure of reliability.
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|   absrx=abs(rx) 
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|   call indexx(absrx,N,indx)  
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| 
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| ! Re-order columns of generator matrix in order of decreasing reliability.
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|   do i=1,N
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|      genmrb(1:K,i)=gen(1:K,indx(N+1-i))
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|      indices(i)=indx(N+1-i)
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|   enddo
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| 
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| ! Do gaussian elimination to create a generator matrix with the most reliable
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| ! received bits in positions 1:K in order of decreasing reliability (more or less). 
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|   do id=1,K ! diagonal element indices 
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|      do icol=id,K+20  ! The 20 is ad hoc - beware
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|         iflag=0
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|         if( genmrb(id,icol) .eq. 1 ) then
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|            iflag=1
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|            if( icol .ne. id ) then ! reorder column
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|               temp(1:K)=genmrb(1:K,id)
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|               genmrb(1:K,id)=genmrb(1:K,icol)
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|               genmrb(1:K,icol)=temp(1:K) 
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|               itmp=indices(id)
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|               indices(id)=indices(icol)
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|               indices(icol)=itmp
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|            endif
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|            do ii=1,K
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|               if( ii .ne. id .and. genmrb(ii,id) .eq. 1 ) then
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|                  genmrb(ii,1:N)=ieor(genmrb(ii,1:N),genmrb(id,1:N))
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|               endif
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|            enddo
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|            exit
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|         endif
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|      enddo
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|   enddo
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| 
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|   g2=transpose(genmrb)
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| 
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| ! The hard decisions for the K MRB bits define the order 0 message, m0. 
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| ! Encode m0 using the modified generator matrix to find the "order 0" codeword. 
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| ! Flip various combinations of bits in m0 and re-encode to generate a list of
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| ! codewords. Return the member of the list that has the smallest Euclidean
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| ! distance to the received word. 
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| 
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|   hdec=hdec(indices)   ! hard decisions from received symbols
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|   m0=hdec(1:K)         ! zero'th order message
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|   absrx=absrx(indices) 
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|   rx=rx(indices)       
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|   apmaskr=apmaskr(indices)
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| 
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|   call mrbencode90(m0,c0,g2,N,K)
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|   nxor=ieor(c0,hdec)
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|   nhardmin=sum(nxor)
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|   dmin=sum(nxor*absrx)
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| 
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|   cw=c0
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|   ntotal=0
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|   nrejected=0
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| 
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|   if(ndeep.eq.0) goto 998  ! norder=0
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|   if(ndeep.gt.5) ndeep=5
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|   if( ndeep.eq. 1) then
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|      nord=1
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|      npre1=0
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|      npre2=0
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|      nt=12
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|      ntheta=3
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|   elseif(ndeep.eq.2) then
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|      nord=1
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|      npre1=1
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|      npre2=0
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|      nt=18
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|      ntheta=4
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|   elseif(ndeep.eq.3) then
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|      nord=1
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|      npre1=1
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|      npre2=0
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|      nt=12
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|      ntheta=4
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|   elseif(ndeep.eq.4) then
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|      nord=1
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|      npre1=1
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|      npre2=1
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|      nt=12
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|      ntheta=4
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|      ntau=15
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|   elseif(ndeep.eq.5) then
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|      nord=1
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|      npre1=1
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|      npre2=1
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|      nt=12
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|      ntheta=4
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|      ntau=5
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|   endif
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| 
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|   do iorder=1,nord
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|      misub(1:K-iorder)=0
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|      misub(K-iorder+1:K)=1
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|      iflag=K-iorder+1
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|      do while(iflag .ge.0)
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|         if(iorder.eq.nord .and. npre1.eq.0) then
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|            iend=iflag
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|         else
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|            iend=1
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|         endif
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|         do n1=iflag,iend,-1
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|            mi=misub
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|            mi(n1)=1
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|            if(any(iand(apmaskr(1:K),mi).eq.1)) cycle
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|            ntotal=ntotal+1
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|            me=ieor(m0,mi)
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|            if(n1.eq.iflag) then
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|               call mrbencode90(me,ce,g2,N,K)
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|               e2sub=ieor(ce(K+1:N),hdec(K+1:N))
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|               e2=e2sub
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|               nd1Kpt=sum(e2sub(1:nt))+1
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|               d1=sum(ieor(me(1:K),hdec(1:K))*absrx(1:K))
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|            else
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|               e2=ieor(e2sub,g2(K+1:N,n1))
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|               nd1Kpt=sum(e2(1:nt))+2
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|            endif
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|            if(nd1Kpt .le. ntheta) then
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|               call mrbencode90(me,ce,g2,N,K)
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|               nxor=ieor(ce,hdec)
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|               if(n1.eq.iflag) then
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|                  dd=d1+sum(e2sub*absrx(K+1:N))
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|               else
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|                  dd=d1+ieor(ce(n1),hdec(n1))*absrx(n1)+sum(e2*absrx(K+1:N))
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|               endif
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|               if( dd .lt. dmin ) then
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|                  dmin=dd
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|                  cw=ce
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|                  nhardmin=sum(nxor)
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|                  nd1Kptbest=nd1Kpt
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|               endif
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|            else 
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|               nrejected=nrejected+1
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|            endif
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|         enddo
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| ! Get the next test error pattern, iflag will go negative
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| ! when the last pattern with weight iorder has been generated.
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|         call nextpat90(misub,k,iorder,iflag)
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|      enddo
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|   enddo
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| 
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|   if(npre2.eq.1) then
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|      reset=.true.
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|      ntotal=0
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|      do i1=K,1,-1
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|         do i2=i1-1,1,-1
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|            ntotal=ntotal+1
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|            mi(1:ntau)=ieor(g2(K+1:K+ntau,i1),g2(K+1:K+ntau,i2))
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|            call boxit90(reset,mi(1:ntau),ntau,ntotal,i1,i2)
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|         enddo
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|      enddo
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| 
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|      ncount2=0
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|      ntotal2=0
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|      reset=.true.
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| ! Now run through again and do the second pre-processing rule
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|      misub(1:K-nord)=0
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|      misub(K-nord+1:K)=1
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|      iflag=K-nord+1
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|      do while(iflag .ge.0)
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|         me=ieor(m0,misub)
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|         call mrbencode90(me,ce,g2,N,K)
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|         e2sub=ieor(ce(K+1:N),hdec(K+1:N))
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|         do i2=0,ntau
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|            ntotal2=ntotal2+1
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|            ui=0 
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|            if(i2.gt.0) ui(i2)=1 
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|            r2pat=ieor(e2sub,ui)
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| 778        continue 
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|            call fetchit90(reset,r2pat(1:ntau),ntau,in1,in2)
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|            if(in1.gt.0.and.in2.gt.0) then
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|               ncount2=ncount2+1
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|               mi=misub               
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|               mi(in1)=1
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|               mi(in2)=1
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|               if(sum(mi).lt.nord+npre1+npre2.or.any(iand(apmaskr(1:K),mi).eq.1)) cycle
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|               me=ieor(m0,mi)
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|               call mrbencode90(me,ce,g2,N,K)
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|               nxor=ieor(ce,hdec)
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|               dd=sum(nxor*absrx)
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|               if( dd .lt. dmin ) then
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|                  dmin=dd
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|                  cw=ce
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|                  nhardmin=sum(nxor)
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|               endif
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|               goto 778
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|            endif
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|         enddo
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|         call nextpat90(misub,K,nord,iflag)
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|      enddo
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|   endif
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| 
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| 998 continue
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| ! Re-order the codeword to [message bits][parity bits] format. 
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|   cw(indices)=cw
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|   hdec(indices)=hdec
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|   decoded=cw(1:K) 
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|   call chkcrc13a(decoded,nbadcrc)
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|   message77=decoded(1:77)
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|   if(nbadcrc.eq.1) nhardmin=-nhardmin
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| 
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|   return
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| end subroutine osd128_90
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| 
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| subroutine mrbencode90(me,codeword,g2,N,K)
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|   integer*1 me(K),codeword(N),g2(N,K)
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| ! fast encoding for low-weight test patterns
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|   codeword=0
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|   do i=1,K
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|      if( me(i) .eq. 1 ) then
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|         codeword=ieor(codeword,g2(1:N,i))
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|      endif
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|   enddo
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|   return
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| end subroutine mrbencode90
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| 
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| subroutine nextpat90(mi,k,iorder,iflag)
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|   integer*1 mi(k),ms(k)
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| ! generate the next test error pattern
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|   ind=-1
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|   do i=1,k-1
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|      if( mi(i).eq.0 .and. mi(i+1).eq.1) ind=i 
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|   enddo
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|   if( ind .lt. 0 ) then ! no more patterns of this order
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|      iflag=ind
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|      return
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|   endif
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|   ms=0
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|   ms(1:ind-1)=mi(1:ind-1)
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|   ms(ind)=1
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|   ms(ind+1)=0
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|   if( ind+1 .lt. k ) then
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|      nz=iorder-sum(ms)
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|      ms(k-nz+1:k)=1
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|   endif
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|   mi=ms
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|   do i=1,k  ! iflag will point to the lowest-index 1 in mi
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|      if(mi(i).eq.1) then
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|         iflag=i 
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|         exit
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|      endif
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|   enddo
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|   return
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| end subroutine nextpat90
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| 
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| subroutine boxit90(reset,e2,ntau,npindex,i1,i2)
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|   integer*1 e2(1:ntau)
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|   integer indexes(5000,2),fp(0:525000),np(5000)
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|   logical reset
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|   common/boxes/indexes,fp,np
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| 
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|   if(reset) then
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|      patterns=-1
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|      fp=-1
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|      np=-1
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|      sc=-1
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|      indexes=-1
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|      reset=.false.
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|   endif
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|  
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|   indexes(npindex,1)=i1
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|   indexes(npindex,2)=i2
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|   ipat=0
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|   do i=1,ntau
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|      if(e2(i).eq.1) then
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|         ipat=ipat+ishft(1,ntau-i)
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|      endif
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|   enddo
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| 
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|   ip=fp(ipat)   ! see what's currently stored in fp(ipat)
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|   if(ip.eq.-1) then
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|      fp(ipat)=npindex
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|   else
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|      do while (np(ip).ne.-1)
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|         ip=np(ip) 
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|      enddo
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|      np(ip)=npindex
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|   endif
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|   return
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| end subroutine boxit90
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| 
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| subroutine fetchit90(reset,e2,ntau,i1,i2)
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|   integer   indexes(5000,2),fp(0:525000),np(5000)
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|   integer   lastpat
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|   integer*1 e2(ntau)
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|   logical reset
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|   common/boxes/indexes,fp,np
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|   save lastpat,inext
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| 
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|   if(reset) then
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|      lastpat=-1
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|      reset=.false.
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|   endif
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| 
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|   ipat=0
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|   do i=1,ntau
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|      if(e2(i).eq.1) then
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|         ipat=ipat+ishft(1,ntau-i)
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|      endif
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|   enddo
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|   index=fp(ipat)
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| 
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|   if(lastpat.ne.ipat .and. index.gt.0) then ! return first set of indices
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|      i1=indexes(index,1)
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|      i2=indexes(index,2)
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|      inext=np(index)
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|   elseif(lastpat.eq.ipat .and. inext.gt.0) then
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|      i1=indexes(inext,1)
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|      i2=indexes(inext,2)
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|      inext=np(inext)
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|   else
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|      i1=-1
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|      i2=-1
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|      inext=-1
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|   endif
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|   lastpat=ipat
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|   return
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| end subroutine fetchit90
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