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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
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