osd174_91.f90

subroutine osd174_91(llr,apmask,ndeep,message77,cw,nhardmin,dmin)
!
! An ordered-statistics decoder for the (174,91) code.
!
integer, parameter:: N=174, K=91, M=N-K
integer*1 apmask(N),apmaskr(N)
integer*1 gen(K,N)
integer*1 genmrb(K,N),g2(N,K)
integer*1 temp(K),m0(K),me(K),mi(K),misub(K),e2sub(N-K),e2(N-K),ui(N-K)
integer*1 r2pat(N-K)
integer indices(N),nxor(N)
integer*1 cw(N),ce(N),c0(N),hdec(N)
integer*1 decoded(K)
integer*1 message77(77)
integer indx(N)
real llr(N),rx(N),absrx(N)

include "ldpc_174_91_c_generator.f90"

logical first,reset
data first/.true./
save first,gen

if( first ) then ! fill the generator matrix
  gen=0
  do i=1,M
    do j=1,23
      read(g(i)(j:j),"(Z1)") istr
      ibmax=4
      if(j.eq.23) ibmax=3
      do jj=1, ibmax
        irow=(j-1)*4+jj
        if( btest(istr,4-jj) ) gen(irow,K+i)=1
      enddo
    enddo
  enddo
  do irow=1,K
    gen(irow,irow)=1
  enddo
first=.false.
endif

rx=llr
apmaskr=apmask

! Hard decisions on the received word.
hdec=0
where(rx .ge. 0) hdec=1

! Use magnitude of received symbols as a measure of reliability.
absrx=abs(rx)
call indexx(absrx,N,indx)

! Re-order the columns of the generator matrix in order of decreasing reliability.
do i=1,N
  genmrb(1:K,i)=gen(1:K,indx(N+1-i))
  indices(i)=indx(N+1-i)
enddo

! Do gaussian elimination to create a generator matrix with the most reliable
! received bits in positions 1:K in order of decreasing reliability (more or less).
do id=1,K ! diagonal element indices
  do icol=id,K+20  ! The 20 is ad hoc - beware
    iflag=0
    if( genmrb(id,icol) .eq. 1 ) then
      iflag=1
      if( icol .ne. id ) then ! reorder column
        temp(1:K)=genmrb(1:K,id)
        genmrb(1:K,id)=genmrb(1:K,icol)
        genmrb(1:K,icol)=temp(1:K)
        itmp=indices(id)
        indices(id)=indices(icol)
        indices(icol)=itmp
      endif
      do ii=1,K
        if( ii .ne. id .and. genmrb(ii,id) .eq. 1 ) then
          genmrb(ii,1:N)=ieor(genmrb(ii,1:N),genmrb(id,1:N))
        endif
      enddo
      exit
    endif
  enddo
enddo

g2=transpose(genmrb)

! The hard decisions for the K MRB bits define the order 0 message, m0.
! Encode m0 using the modified generator matrix to find the "order 0" codeword.
! Flip various combinations of bits in m0 and re-encode to generate a list of
! codewords. Return the member of the list that has the smallest Euclidean
! distance to the received word.

hdec=hdec(indices)   ! hard decisions from received symbols
m0=hdec(1:K)         ! zero'th order message
absrx=absrx(indices)
rx=rx(indices)
apmaskr=apmaskr(indices)

call mrbencode91(m0,c0,g2,N,K)
nxor=ieor(c0,hdec)
nhardmin=sum(nxor)
dmin=sum(nxor*absrx)

cw=c0
ntotal=0
nrejected=0

if(ndeep.eq.0) goto 998  ! norder=0
if(ndeep.gt.5) ndeep=5
if( ndeep.eq. 1) then
   nord=1
   npre1=0
   npre2=0
   nt=40
   ntheta=12
elseif(ndeep.eq.2) then
   nord=1
   npre1=1
   npre2=0
   nt=40
   ntheta=12
elseif(ndeep.eq.3) then
   nord=1
   npre1=1
   npre2=1
   nt=40
   ntheta=12
   ntau=14
elseif(ndeep.eq.4) then
   nord=2
   npre1=1
   npre2=0
   nt=40
   ntheta=12
   ntau=19
elseif(ndeep.eq.5) then
   nord=2
   npre1=1
   npre2=1
   nt=40
   ntheta=12
   ntau=19
endif

do iorder=1,nord
   misub(1:K-iorder)=0
   misub(K-iorder+1:K)=1
   iflag=K-iorder+1
   do while(iflag .ge.0)
      if(iorder.eq.nord .and. npre1.eq.0) then
         iend=iflag
      else
         iend=1
      endif
      do n1=iflag,iend,-1
         mi=misub
         mi(n1)=1
         if(any(iand(apmaskr(1:K),mi).eq.1)) cycle
         ntotal=ntotal+1
         me=ieor(m0,mi)
         if(n1.eq.iflag) then
            call mrbencode91(me,ce,g2,N,K)
            e2sub=ieor(ce(K+1:N),hdec(K+1:N))
            e2=e2sub
            nd1Kpt=sum(e2sub(1:nt))+1
            d1=sum(ieor(me(1:K),hdec(1:K))*absrx(1:K))
         else
            e2=ieor(e2sub,g2(K+1:N,n1))
            nd1Kpt=sum(e2(1:nt))+2
         endif
         if(nd1Kpt .le. ntheta) then
            call mrbencode91(me,ce,g2,N,K)
            nxor=ieor(ce,hdec)
            if(n1.eq.iflag) then
               dd=d1+sum(e2sub*absrx(K+1:N))
            else
               dd=d1+ieor(ce(n1),hdec(n1))*absrx(n1)+sum(e2*absrx(K+1:N))
            endif
            if( dd .lt. dmin ) then
               dmin=dd
               cw=ce
               nhardmin=sum(nxor)
               nd1Kptbest=nd1Kpt
            endif
         else
            nrejected=nrejected+1
         endif
      enddo
! Get the next test error pattern, iflag will go negative
! when the last pattern with weight iorder has been generated.
      call nextpat91(misub,k,iorder,iflag)
   enddo
enddo

if(npre2.eq.1) then
   reset=.true.
   ntotal=0
   do i1=K,1,-1
      do i2=i1-1,1,-1
         ntotal=ntotal+1
         mi(1:ntau)=ieor(g2(K+1:K+ntau,i1),g2(K+1:K+ntau,i2))
         call boxit91(reset,mi(1:ntau),ntau,ntotal,i1,i2)
      enddo
   enddo

   ncount2=0
   ntotal2=0
   reset=.true.
! Now run through again and do the second pre-processing rule
   misub(1:K-nord)=0
   misub(K-nord+1:K)=1
   iflag=K-nord+1
   do while(iflag .ge.0)
      me=ieor(m0,misub)
      call mrbencode91(me,ce,g2,N,K)
      e2sub=ieor(ce(K+1:N),hdec(K+1:N))
      do i2=0,ntau
         ntotal2=ntotal2+1
         ui=0
         if(i2.gt.0) ui(i2)=1
         r2pat=ieor(e2sub,ui)
778      continue
            call fetchit91(reset,r2pat(1:ntau),ntau,in1,in2)
            if(in1.gt.0.and.in2.gt.0) then
               ncount2=ncount2+1
               mi=misub
               mi(in1)=1
               mi(in2)=1
               if(sum(mi).lt.nord+npre1+npre2.or.any(iand(apmaskr(1:K),mi).eq.1)) cycle
               me=ieor(m0,mi)
               call mrbencode91(me,ce,g2,N,K)
               nxor=ieor(ce,hdec)
               dd=sum(nxor*absrx)
               if( dd .lt. dmin ) then
                  dmin=dd
                  cw=ce
                  nhardmin=sum(nxor)
               endif
               goto 778
             endif
      enddo
      call nextpat91(misub,K,nord,iflag)
   enddo
endif

998 continue
! Re-order the codeword to [message bits][parity bits] format.
cw(indices)=cw
hdec(indices)=hdec
decoded=cw(1:K)
call chkcrc14a(decoded,nbadcrc)
message77=decoded(1:77)
if(nbadcrc.eq.1) nhardmin=-nhardmin

return
end subroutine osd174_91

subroutine mrbencode91(me,codeword,g2,N,K)
integer*1 me(K),codeword(N),g2(N,K)
! fast encoding for low-weight test patterns
  codeword=0
  do i=1,K
    if( me(i) .eq. 1 ) then
      codeword=ieor(codeword,g2(1:N,i))
    endif
  enddo
return
end subroutine mrbencode91

subroutine nextpat91(mi,k,iorder,iflag)
  integer*1 mi(k),ms(k)
! generate the next test error pattern
  ind=-1
  do i=1,k-1
     if( mi(i).eq.0 .and. mi(i+1).eq.1) ind=i
  enddo
  if( ind .lt. 0 ) then ! no more patterns of this order
    iflag=ind
    return
  endif
  ms=0
  ms(1:ind-1)=mi(1:ind-1)
  ms(ind)=1
  ms(ind+1)=0
  if( ind+1 .lt. k ) then
     nz=iorder-sum(ms)
     ms(k-nz+1:k)=1
  endif
  mi=ms
  do i=1,k  ! iflag will point to the lowest-index 1 in mi
    if(mi(i).eq.1) then
      iflag=i
      exit
    endif
  enddo
  return
end subroutine nextpat91

subroutine boxit91(reset,e2,ntau,npindex,i1,i2)
  integer*1 e2(1:ntau)
  integer   indexes(5000,2),fp(0:525000),np(5000)
  logical reset
  common/boxes/indexes,fp,np

  if(reset) then
    patterns=-1
    fp=-1
    np=-1
    sc=-1
    indexes=-1
    reset=.false.
  endif

  indexes(npindex,1)=i1
  indexes(npindex,2)=i2
  ipat=0
  do i=1,ntau
    if(e2(i).eq.1) then
      ipat=ipat+ishft(1,ntau-i)
    endif
  enddo

  ip=fp(ipat)   ! see what's currently stored in fp(ipat)
  if(ip.eq.-1) then
    fp(ipat)=npindex
  else
     do while (np(ip).ne.-1)
      ip=np(ip)
     enddo
     np(ip)=npindex
  endif
  return
end subroutine boxit91

subroutine fetchit91(reset,e2,ntau,i1,i2)
  integer   indexes(5000,2),fp(0:525000),np(5000)
  integer   lastpat
  integer*1 e2(ntau)
  logical reset
  common/boxes/indexes,fp,np
  save lastpat,inext

  if(reset) then
    lastpat=-1
    reset=.false.
  endif

  ipat=0
  do i=1,ntau
    if(e2(i).eq.1) then
      ipat=ipat+ishft(1,ntau-i)
    endif
  enddo
  index=fp(ipat)

  if(lastpat.ne.ipat .and. index.gt.0) then ! return first set of indices
     i1=indexes(index,1)
     i2=indexes(index,2)
     inext=np(index)
  elseif(lastpat.eq.ipat .and. inext.gt.0) then
     i1=indexes(inext,1)
     i2=indexes(inext,2)
     inext=np(inext)
  else
     i1=-1
     i2=-1
     inext=-1
  endif
  lastpat=ipat
  return
end subroutine fetchit91