File: mkback.f

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C     Last change:  BCM  29 Sep 97   10:13 am
      SUBROUTINE mkback(Trnsrs,Priadj,Bcst,Ubcst,Pos2,Outdec,Lgraf)
      IMPLICIT NONE
c     ------------------------------------------------------------------
c     Generate Backcasts
c     Added November 2006 - print and save tables of backcasts
c     ------------------------------------------------------------------
      INCLUDE 'srslen.prm'
      INCLUDE 'model.prm'
      INCLUDE 'model.cmn'
      INCLUDE 'mdldat.cmn'
      INCLUDE 'arima.cmn'
      INCLUDE 'x11log.cmn'
      INCLUDE 'extend.cmn'
      INCLUDE 'hiddn.cmn'
      INCLUDE 'adj.cmn'
      INCLUDE 'x11adj.cmn'
      INCLUDE 'x11fac.cmn'
      INCLUDE 'priusr.cmn'
      INCLUDE 'error.cmn'
      INCLUDE 'x11opt.cmn'
      INCLUDE 'savcmn.cmn'
      INCLUDE 'tbllog.prm'
      INCLUDE 'tbllog.cmn'
      INCLUDE 'mdltbl.i'
      INCLUDE 'stdio.i'
      INCLUDE 'cchars.i'
      INCLUDE 'units.cmn'
c     ------------------------------------------------------------------
      LOGICAL F,T
      INTEGER BTWNCL,DIV,INCOL,MNSGFG,ADD,MULT,SUB
      DOUBLE PRECISION ZERO,ONE,TWO
      PARAMETER(F=.false.,T=.true.,ADD=1,SUB=2,MULT=3,DIV=4,BTWNCL=3,
     &          INCOL=2,MNSGFG=3,ZERO=0D0,ONE=1D0,TWO=2D0)
c     ------------------------------------------------------------------
      CHARACTER blnk*80,fmt*80,ttlfct*80,ttlfc2*100,str*10,outstr*75,
     &          dash*(22)
      LOGICAL Lgraf,ltrns,lpria,lprix,locok
      INTEGER Priadj,fctori,frstry,i,Pos2,ff,endbak,ndtchr,
     &        Outdec,ndec,rdbdat,npos,fh,fh2,nttlcr,ntl2cr,mindec,idate,
     &        tmp1,tmp2,clwdth,mxdtcr
      DOUBLE PRECISION rgvar,fcstse,Trnsrs,Bcst,Ubcst,bkxy,pval,nstder,
     &                 lwrci,uprci,revfse
      DIMENSION Bcst(PFCST),Ubcst(PFCST),rgvar(PFCST),fcstse(PFCST),
     &          Trnsrs(PLEN),endbak(2),lwrci(PFCST),uprci(PFCST),
     &          bkxy(PLEN*(PB+1)),idate(2),revfse(PFCST)
c-----------------------------------------------------------------------
      DOUBLE PRECISION dinvnr
      LOGICAL chkcvr,dpeq
      EXTERNAL chkcvr,dinvnr,dpeq
c-----------------------------------------------------------------------
      DATA dash /'----------------------'/
      DATA blnk/
     &'                                                                 
     &               '/
c-----------------------------------------------------------------------
c     Generate backcasts
c-----------------------------------------------------------------------
      locok=T
      CALL regvar(Trnsrs,Nspobs,Fctdrp,Nfcst,Nbcst,Userx,Bgusrx,Nrusrx,
     &            Priadj,Reglom,Nrxy,Begxy,frstry,T,Elong)
      IF(Lfatal)RETURN
      fctori=Nspobs
      CALL copy(Xy,Nrxy*Ncxy,1,bkxy)
      CALL revrse(bkxy,Nrxy-Nfcst,Ncxy,Xy)
      CALL fcstxy(fctori,Nbcst,Bcst,fcstse,rgvar)
      IF(Lfatal)RETURN
c-----------------------------------------------------------------------
      CALL copy(bkxy,Nrxy*Ncxy,1,Xy)
c      CALL revrse(Xy,Nrxy-Nfcst,Ncxy,Xy)
c-----------------------------------------------------------------------
c     Create versions of the backcasts that are on the original scale
c-----------------------------------------------------------------------
      ff=ADD
      IF(Adjmod.lt.2)ff=MULT
      DO i=1,Nbcst
       Ubcst(Nbcst-i+1)=Bcst(i)
      END DO
c-----------------------------------------------------------------------
      IF(Lognrm.and.dpeq(Lam,ZERO))CALL lgnrmc(Nbcst,Bcst,fcstse,Bcst,F)
c-----------------------------------------------------------------------
      CALL wrtdat(Begbak,Sp,str,ndtchr)
      IF(Lfatal)RETURN
      mxdtcr=max(4,ndtchr)
      IF(.not.Lhiddn.and.(Prttab(LFORBC).or.Prttab(LFORTB)))
     &   WRITE(Mt1,1010)str(1:ndtchr),Nbcst
 1010 FORMAT(//,' BACKCASTING',/,'  Origin',a10,/,'  Number',i10)
c-----------------------------------------------------------------------
c     Format the transformed backcasts and their standard errors
c-----------------------------------------------------------------------
      CALL numfmt(Ubcst,Nbcst,Outdec,clwdth,mindec)
      mindec=mindec+MNSGFG-1
c-----------------------------------------------------------------------
      IF(mindec.gt.Outdec)THEN
       ndec=min(mindec,11)
       clwdth=clwdth-Outdec+ndec
      ELSE
       ndec=Outdec
      END IF
      IF(ndec.eq.0)clwdth=clwdth+1
      clwdth=min(max(clwdth,8),21)
c-----------------------------------------------------------------------
      ltrns=(.not.dpeq(Lam,ONE)).or.Fcntyp.ne.4
      lpria=(Nustad.gt.0.and.chkcvr(Bgutad,Nustad,Begbak,Nbcst,Sp)).or.
     &      (Nuspad.gt.0.and.chkcvr(Bgupad,Nuspad,Begbak,Nbcst,Sp)).or.
     &      (Priadj.gt.0.and.chkcvr(Begadj,Nadj,Begbak,Nbcst,Sp))
      lprix=(Axrghl.or.Axrgtd.and.Ixreg.eq.3).or.Khol.eq.2.or.Kswv.eq.1
c-----------------------------------------------------------------------
      IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
       IF(Prttab(LFORBC))THEN
        IF((lpria.or.lprix).and.ltrns)THEN
         WRITE(Mt1,1020)
     &'Backcasts and Standard Errors of the Prior Adjusted and Transform
     &ed Data'
        ELSE IF(ltrns)THEN
         WRITE(Mt1,1020)
     &           'Backcasts and Standard Errors of the Transformed Data'
        ELSE IF(lpria)THEN
         WRITE(Mt1,1020)
     &        'Backcasts and Standard Errors of the Prior Adjusted Data'
        ELSE
         WRITE(Mt1,1020)'Backcasts and Standard Errors'
        END IF
       END IF
 1020  FORMAT(/,'  ',a)
c-----------------------------------------------------------------------
       IF(Savtab(LFORTB).OR.(Lgraf.and.ltrns))THEN
        IF(Savtab(LFORTB))CALL opnfil(T,F,LFORTB,fh,locok)
        IF((Lgraf.and.ltrns).and.locok)
     &     CALL opnfil(T,Lgraf,LFORTB,fh2,locok)
        IF(.not.locok)THEN
         CALL abend()
         RETURN
        END IF
        IF(Savtab(LFORTB))THEN
         WRITE(fh,1030)'date',TABCHR,'backcast',TABCHR,'standarderror'
         WRITE(fh,1030)'------',TABCHR,dash(1:Svsize),TABCHR,
     &                 dash(1:Svsize)
        END IF
        IF(Lgraf.and.ltrns)THEN
         WRITE(fh2,1030)'date',TABCHR,'backcast',TABCHR,
     &                          'standarderror'
         WRITE(fh2,1030)'------',TABCHR,dash(1:Svsize),TABCHR,
     &                  dash(1:Svsize)
        END IF
 1030   FORMAT(a:,a,a,a,a:,a,a)
       END IF
c-----------------------------------------------------------------------
       IF(Prttab(LFORTB))THEN
        WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL+INCOL+2*clwdth+1)
 1040   FORMAT('   ',77(a))
        WRITE(Mt1,1050)blnk(1:mxdtcr+BTWNCL+INCOL+2*clwdth-6),
     &                 blnk(1:mxdtcr-3),blnk(1:BTWNCL+clwdth-8),
     &                 blnk(1:INCOL+clwdth+1-5)
 1050   FORMAT('  ',a,'Standard',/,'  ',a,'Date',a,'Backcast',a,
     &         'Error')
        WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL+INCOL+2*clwdth+1)
c     ------------------------------------------------------------------
        WRITE(fmt,1060)mxdtcr+3,BTWNCL+clwdth,ndec,INCOL+clwdth+1,
     &                 ndec+1
 1060   FORMAT('(a',i2.2,',f',i2.2,'.',i2.2,',f',i2.2,'.',i2.2,')')
       END IF
c     ------------------------------------------------------------------
       DO i=1,Nbcst
        CALL addate(Begbak,Sp,i-1,idate)
        CALL wrtdat(idate,Sp,str,ndtchr)
        IF(Lfatal)RETURN
c     ------------------------------------------------------------------
        IF(Prttab(LFORTB))
     &     WRITE(Mt1,fmt)str(1:ndtchr),Ubcst(i),fcstse(Nbcst-i+1)
c     ------------------------------------------------------------------
        IF(Savtab(LFORTB).OR.(Lgraf.and.ltrns))THEN
         npos=1
         rdbdat=100*idate(YR)+idate(MO)
c     ------------------------------------------------------------------
         CALL itoc(rdbdat,outstr,npos)
         IF(Lfatal)RETURN
         outstr(npos:npos)=TABCHR
         npos=npos+1
         CALL dtoc(Ubcst(i),outstr,npos)
         IF(Lfatal)RETURN
         outstr(npos:npos)=TABCHR
         npos=npos+1
         CALL dtoc(fcstse(Nbcst-i+1),outstr,npos)
         IF(Lfatal)RETURN
         IF(Savtab(LFORTB))WRITE(fh,1030)outstr(1:npos-1)
         IF(Lgraf.and.ltrns)WRITE(fh2,1030)outstr(1:npos-1)
        END IF
       END DO
c     ------------------------------------------------------------------
       IF(Prttab(LFORTB))
     &    WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL+INCOL+2*clwdth+1)
       IF(Savtab(LFORTS).and.locok)CALL fclose(fh)
       IF(Lgraf.and.ltrns.and.locok)CALL fclose(fh2)
      END IF
c-----------------------------------------------------------------------
      IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
       pval=(Ciprob+ONE)/TWO
       nstder=dinvnr(pval,ONE-pval)
       DO i=1,Nbcst
        revfse(i)=fcstse(Nbcst-i+1)
       END DO
       CALL scrmlt(nstder,Nbcst,revfse)
       CALL eltfcn(SUB,Ubcst,revfse,Nbcst,PFCST,lwrci)
       CALL eltfcn(ADD,Ubcst,revfse,Nbcst,PFCST,uprci)
      END IF
c-----------------------------------------------------------------------
      IF(ltrns)THEN
       IF(Lognrm.and.dpeq(Lam,ZERO))THEN
        CALL lgnrmc(Nbcst,Ubcst,revfse,Ubcst,T)
       ELSE
        CALL invfcn(Ubcst,Nbcst,Fcntyp,Lam,Ubcst)
       END IF
       IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
        CALL invfcn(lwrci,Nbcst,Fcntyp,Lam,lwrci)
        CALL invfcn(uprci,Nbcst,Fcntyp,Lam,uprci)
       END IF
      END IF
      IF(lpria)THEN
       CALL eltfcn(ff,Ubcst,Adj(Adj1st-Nbcst),Nbcst,PFCST,Ubcst)
       IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
        CALL eltfcn(ff,lwrci,Adj(Adj1st-Nbcst),Nbcst,PFCST,lwrci)
        CALL eltfcn(ff,uprci,Adj(Adj1st-Nbcst),Nbcst,PFCST,uprci)
       END IF
      END IF
      IF(Khol.eq.2)THEN
       CALL eltfcn(ff,Ubcst,X11hol(Pos2),Nbcst,PFCST,Ubcst)
       IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
        CALL eltfcn(ff,lwrci,X11hol(Pos2),Nbcst,PFCST,lwrci)
        CALL eltfcn(ff,uprci,X11hol(Pos2),Nbcst,PFCST,uprci)
       END IF
      END IF
      IF(Axrghl.and.Ixreg.eq.3)THEN
       CALL eltfcn(ff,Ubcst,Facxhl(Pos2),Nbcst,PFCST,Ubcst)
       IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
        CALL eltfcn(ff,lwrci,Facxhl(Pos2),Nbcst,PFCST,lwrci)
        CALL eltfcn(ff,uprci,Facxhl(Pos2),Nbcst,PFCST,uprci)
       END IF
      END IF
      IF(Kswv.eq.1.or.(Axrgtd.and.Ixreg.eq.3))THEN
       CALL eltfcn(ff,Ubcst,Stptd(Pos2),Nbcst,PFCST,Ubcst)
       IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
        CALL eltfcn(ff,lwrci,Stptd(Pos2),Nbcst,PFCST,lwrci)
        CALL eltfcn(ff,uprci,Stptd(Pos2),Nbcst,PFCST,uprci)
       END IF
      END IF
c-----------------------------------------------------------------------
      IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
       ttlfct='Confidence intervals with coverage probability ('
       nttlcr=48
       ntl2cr=0
       IF(Prttab(LFORBC))WRITE(ttlfct(nttlcr+1:),1110)Ciprob
 1110  FORMAT(f8.5,')')
       IF(Savtab(LFORBC))CALL opnfil(T,F,LFORBC,fh,locok)
       IF(Lgraf.and.locok)CALL opnfil(T,Lgraf,LFORBC,fh2,locok)
       IF(.not.locok)THEN
        CALL abend()
        RETURN
       END IF
       nttlcr=nttlcr+8
c     ------------------------------------------------------------------
       IF(ltrns)THEN
        ttlfc2='On the Original Scale'
        ntl2cr=21
       END IF
c-----------------------------------------------------------------------
       IF(Nustad.gt.0.or.Nuspad.gt.0.or.Priadj.gt.1)THEN
        IF(lpria)THEN
         IF(ltrns)THEN
          ttlfc2=ttlfc2(1:ntl2cr)//' Before Prior Adjustments'
          ntl2cr=ntl2cr+25
         ELSE
          ttlfc2='Before Prior Adjustments'
          ntl2cr=24
         END IF
c     ------------------------------------------------------------------
        ELSE
         IF(ltrns)THEN
          ttlfc2=ttlfc2(1:ntl2cr)//' After Prior Adjustments'
          ntl2cr=ntl2cr+25
         ELSE
          ttlfc2='After Prior Adjustments'
          ntl2cr=23
         END IF
         IF(Prttab(LFORBC).or.Savtab(LFORBC).or.Lgraf)THEN
          IF(.not.Lquiet)WRITE(STDERR,1120)
          CALL errhdr
          WRITE(Mt2,1120)
         END IF
 1120    FORMAT(/,
     &    ' WARNING:  User-defined prior adjustment factor not provided'
     &    ,/,'           for the backcast period.',/)
        END IF
       ELSE IF(lprix)THEN
        IF(ltrns)THEN
         ttlfc2=ttlfc2(1:ntl2cr)//' Before Prior Adjustments'
         ntl2cr=ntl2cr+25
        ELSE
         ttlfc2='Before Prior Adjustments'
         ntl2cr=24
        END IF
       END IF
c-----------------------------------------------------------------------
       CALL numfmt(lwrci,Nbcst,Outdec,tmp1,tmp2)
       CALL numfmt(uprci,Nbcst,Outdec,clwdth,mindec)
       clwdth=max(tmp1,clwdth)
       mindec=max(tmp2,mindec)+MNSGFG-1
       IF(mindec.gt.Outdec)THEN
        ndec=min(mindec,11)
        clwdth=clwdth-Outdec+ndec
       ELSE
        ndec=Outdec
       END IF
       IF(ndec.eq.0)clwdth=clwdth+1
       clwdth=min(max(clwdth,8),21)
c     ------------------------------------------------------------------
       IF(Prttab(LFORBC))THEN
        WRITE(Mt1,1020)ttlfct(1:nttlcr)
        IF(ntl2cr.gt.0)THEN
         WRITE(Mt1,1130)ttlfc2(1:ntl2cr)
 1130    FORMAT('  ',a)
        END IF
        IF(Lognrm.and.dpeq(Lam,ZERO))
     &     WRITE(Mt1,1130)'with LogNormal correction'
c     ------------------------------------------------------------------
        WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL-INCOL+3*(INCOL+clwdth))
c     ------------------------------------------------------------------
        WRITE(Mt1,1140)blnk(1:mxdtcr-3),blnk(1:BTWNCL+clwdth-5),
     &                 blnk(1:INCOL+clwdth-8),blnk(1:INCOL+clwdth-5)
 1140   FORMAT('  ',a,'Date',a,'Lower',a,'Backcast',a,'Upper')
c     ------------------------------------------------------------------
        WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL-INCOL+3*(INCOL+clwdth))
c     ------------------------------------------------------------------
        WRITE(fmt,1150)mxdtcr+3,BTWNCL+clwdth,ndec,INCOL+clwdth,ndec
 1150   FORMAT('(a',i2.2,',f',i2.2,'.',i2.2,',2f',i2.2,'.',i2.2,')')
       END IF
c     ------------------------------------------------------------------
       IF(Savtab(LFORBC))THEN
        WRITE(fh,1030)'date',TABCHR,'backcast',TABCHR,'lowerci',TABCHR,
     &                'upperci'
        WRITE(fh,1030)'------',TABCHR,dash(1:Svsize),TABCHR,
     &                dash(1:Svsize),TABCHR,dash(1:Svsize)
       END IF
       IF(Lgraf)THEN
        WRITE(fh2,1030)'date',TABCHR,'backcast',TABCHR,'lowerci',TABCHR,
     &                 'upperci'
        WRITE(fh2,1030)'------',TABCHR,dash(1:Svsize),TABCHR,
     &                 dash(1:Svsize),TABCHR,dash(1:Svsize)
       END IF
c     ------------------------------------------------------------------
       DO i=1,Nbcst
        CALL addate(Begbak,Sp,i-1,idate)
        CALL wrtdat(idate,Sp,str,ndtchr)
        IF(Lfatal)RETURN
        IF(Prttab(LFORBC))WRITE(Mt1,fmt)str(1:ndtchr),lwrci(i),Ubcst(i),
     &                                  uprci(i)
        IF(Savtab(LFORBC).or.Lgraf)THEN
         npos=1
         rdbdat=100*idate(YR)+idate(MO)
c     ------------------------------------------------------------------
         CALL itoc(rdbdat,outstr,npos)
         IF(Lfatal)RETURN
         outstr(npos:npos)=TABCHR
         npos=npos+1
         CALL dtoc(Ubcst(i),outstr,npos)
         IF(Lfatal)RETURN
         outstr(npos:npos)=TABCHR
         npos=npos+1
         CALL dtoc(lwrci(i),outstr,npos)
         IF(Lfatal)RETURN
         outstr(npos:npos)=TABCHR
         npos=npos+1
         CALL dtoc(uprci(i),outstr,npos)
         IF(Lfatal)RETURN
         IF(Savtab(LFORBC))WRITE(fh,1030)outstr(1:npos-1)
         IF(Lgraf)WRITE(fh2,1030)outstr(1:npos-1)
        END IF
c     ------------------------------------------------------------------
       END DO
c     ------------------------------------------------------------------
       IF(Prttab(LFORBC))
     &    WRITE(Mt1,1040)('-',i=1,mxdtcr+BTWNCL-INCOL+3*(INCOL+clwdth))
c     ------------------------------------------------------------------
       IF(Savtab(LFORBC).and.locok)CALL fclose(fh)
       IF(Lgraf.and.locok)CALL fclose(fh2)
c     ------------------------------------------------------------------
      END IF
c-----------------------------------------------------------------------
      RETURN
      END