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*DECK TONDRV
      SUBROUTINE TONDRV (IPLIB,IPTRK,IFTRAK,NGRO,NBISO,NBMIX,NREG,
     1 NUN,CDOOR,NRES,IMPX,ISONRF,ISONAM,MIX,DEN,SN,LSHI,IPHASE,KSPH,
     2 IPROB,MAT,VOL,KEYFLX,LEAKSW,TITR,IGRMIN,IGRMAX,MAXX0,ITRANZ,EPS)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Perform a multidimensional self-shielding calculation in order to
* compute the dilution cross section of each resonant isotope present
* in the domain.
*
*Copyright:
* Copyright (C) 2017 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): A. Hebert
*
*Parameters: input
* IPLIB   pointer to the internal microscopic cross section library
*         (L_LIBRARY signature).
* IPTRK   pointer to the tracking. (L_TRACK signature).
* IFTRAK  unit number of the sequential binary tracking file.
* NGRO    number of energy groups.
* NBISO   number of isotopes present in the calculation domain.
* NBMIX   number of mixtures in the macrolib.
* NREG    number of regions.
* NUN     number of unknowns in the flux or source vector in one
*         energy group.
* CDOOR   name of the geometry/solution module.
* NRES    number of resonant mixtures.
* IMPX    print flag.
* ISONRF  reference name of isotopes.
* ISONAM  alias name of isotopes.
* MIX     mix number of each isotope (can be zero).
* DEN     density of each isotope.
* LSHI    resonant region number associated with each isotope.
*         Infinite dilution will be assumed if LSHI(i)=0.
* IPHASE  type of flux solution (=1 use a native flux solution door;
*         =2 use collision probabilities).
* KSPH    SPH equivalence flag (=0 no SPH correction; =1 SPH correction
*         in the fuel).
* IPROB   adjoint macrolib flag (=0 direct; =1 adjoint).
* MAT     index-number of the mixture type assigned to each volume.
* VOL     volumes.
* KEYFLX  pointers of fluxes in unknown vector.
* LEAKSW  leakage flag (=.true. if leakage is present on the outer
*         surface).
* TITR    title.
* IGRMIN  first group where the self-shielding is applied.
* IGRMAX  most thermal group where the self-shielding is applied.
* MAXX0   maximum number of self-shielding iterations.
* ITRANZ  type of transport correction used in the self-shielding
*         calculations.
* EPS     convergence criterion for the self-shielding iterations.
*
*Parameters: input/output
* SN      estimate of the dilution cross section in each energy group
*         of each isotope on input and computed dilution cross section
*         in each energy group of each isotope at output.
*
*-----------------------------------------------------------------------
*
      USE GANLIB
*----
*  SUBROUTINE ARGUMENTS
*----
      TYPE(C_PTR) IPLIB,IPTRK
      INTEGER IFTRAK,NGRO,NBISO,NBMIX,NREG,NUN,NRES,IMPX,
     1 ISONRF(3,NBISO),ISONAM(3,NBISO),MIX(NBISO),LSHI(NBISO),IPHASE,
     2 KSPH,IPROB,MAT(NREG),KEYFLX(NREG),IGRMIN,IGRMAX,MAXX0,ITRANZ
      REAL DEN(NBISO),SN(NGRO,NBISO),VOL(NREG),EPS
      LOGICAL LEAKSW
      CHARACTER CDOOR*12,TITR*72
*----
*  LOCAL VARIABLES
*----
      PARAMETER (NALPHA=9,NRAT=(NALPHA+1)/2,NSTATE=40)
      TYPE(C_PTR) JPLIB,KPLIB
      INTEGER IPAR(NSTATE)
      REAL TMPDAY(3)
      CHARACTER HSMG*130,TEXT12*12,HNAMIS*12
      LOGICAL START,LOGDO
*----
*  ALLOCATABLE ARRAYS
*----
      INTEGER, ALLOCATABLE, DIMENSION(:) :: LSHI2
      REAL, ALLOCATABLE, DIMENSION(:) :: VOLISO
      REAL, ALLOCATABLE, DIMENSION(:,:) :: SIGT1,SIGT2,SIGT3,SPH
      LOGICAL, ALLOCATABLE, DIMENSION(:) :: MASK,MASKL
      LOGICAL, ALLOCATABLE, DIMENSION(:,:) :: NOCONV
*----
*  SCRATCH STORAGE ALLOCATION
*----
      ALLOCATE(SIGT1(0:NBMIX,NGRO),SIGT2(0:NBMIX,NGRO),
     1 SIGT3(0:NBMIX,NGRO),VOLISO(NBISO))
      ALLOCATE(MASK(NBMIX),MASKL(NGRO),NOCONV(NBMIX,NGRO))
*
      IF(IMPX.GE.2) THEN
         WRITE (6,'(//23H TONDRV: VALUES OF MAT:)')
         I1=1
         KI=(NREG-1)/11+1
         DO 10 I=1,KI
         I2=I1+10
         IF(I2.GT.NREG) I2=NREG
         WRITE (6,350) (J,J=I1,I2)
         WRITE (6,360) (MAT(J),J=I1,I2)
         I1=I1+11
   10    CONTINUE
         WRITE (6,'(//)')
      ENDIF
*----
*  RECOVER SELF SHIELDING DATA
*----
      IF(LEAKSW) CALL XABORT('TONDRV: NEUTRON LEAKAGE IS FORBIDDEN.')
      IF(CDOOR.EQ.' ') CALL XABORT('TONDRV: THE GEOMETRY IS NOT YET '
     1 //'DEFINED.')
*
      TK3=0.0
      TK4=0.0
      CALL KDRCPU(TK1)
      ICPIJ=0
      IF(IMPX.GT.0) THEN
         WRITE (6,400) TITR,CDOOR
         WRITE (6,'(15H TONE''S METHOD./)')
         WRITE (6,405) IGRMIN,IGRMAX,MAXX0,KSPH,ITRANZ,IPHASE,EPS
      ENDIF
      IF(NRES.EQ.0) THEN
         WRITE (6,410)
         RETURN
      ENDIF
      DO 30 I=1,NREG
      IF(MAT(I).GT.NBMIX) THEN
         WRITE (HSMG,380) NBMIX
         CALL XABORT(HSMG)
      ENDIF
   30 CONTINUE
      IGRMAX=MIN(IGRMAX,NGRO)
      DO 60 LLL=1,NGRO
      DO 50 IBM=1,NBMIX
      NOCONV(IBM,LLL)=.FALSE.
   50 CONTINUE
   60 CONTINUE
      CALL LCMSIX(IPLIB,'MACROLIB',1)
      JPLIB=LCMGID(IPLIB,'GROUP')
      DO 70 LLL=IGRMIN,IGRMAX
      IF(IPROB.EQ.0) LL=LLL
      IF(IPROB.EQ.1) LL=NGRO-LLL+1
      KPLIB=LCMGIL(JPLIB,LL)
      SIGT2(0,LLL)=0.0
      CALL LCMGET(KPLIB,'NTOT0',SIGT2(1,LLL))
*----
*  TRANSPORT CORRECTION
*----
      IF(ITRANZ.NE.0) THEN
         SIGT3(0,LLL)=0.0
         CALL LCMGET(KPLIB,'TRANC',SIGT3(1,LLL))
      ELSE
         SIGT3(0:NBMIX,LLL)=0.0
      ENDIF
*
      NOCONV(:NBMIX,LLL)=.TRUE.
   70 CONTINUE
      CALL LCMSIX(IPLIB,' ',2)
      IF(IMPX.GE.2) THEN
         WRITE (6,'(/19H TONE INPUT VALUES:/)')
         DO 80 LLL=IGRMIN,IGRMAX
         WRITE(6,420) LLL
         WRITE(6,460) (SN(LLL,J),J=1,NBISO)
         WRITE(6,480) (SIGT2(IBM,LLL),IBM=1,NBMIX)
   80    CONTINUE
         WRITE(6,490)
      ENDIF
*----
*  ELIMINATE ISOTOPE ABSENT FROM GEOMETRY
*----
      DO IBM=1,NBMIX
        DO IREG=1,NREG
          IF(MAT(IREG).EQ.IBM) GO TO 85
        ENDDO
        DO ISO=1,NBISO
          IF(MIX(ISO).EQ.IBM) LSHI(ISO)=0
        ENDDO
   85   CONTINUE
      ENDDO
*----
*  RECOMPUTE THE VECTOR LSHI
*----
      ALLOCATE(LSHI2(NBISO))
      NRES1=0
      NRES2=0
      LSHI2(:NBISO)=0
      DO 140 INRS=1,NRES
  100 DENMAX=0.0
      KSOT=0
      DO 120 ISO=1,NBISO
      VOLISO(ISO)=0.0
      DO 110 I=1,NREG
      IF(MAT(I).EQ.MIX(ISO)) VOLISO(ISO)=VOLISO(ISO)+VOL(I)
  110 CONTINUE
      IF(LSHI2(ISO).EQ.0) THEN
         IF((LSHI(ISO).EQ.INRS).AND.(DEN(ISO)*VOLISO(ISO).GT.DENMAX))
     1   THEN
            KSOT=ISO
            DENMAX=DEN(ISO)*VOLISO(ISO)
         ENDIF
      ENDIF
  120 CONTINUE
      CALL LCMPUT(IPLIB,'ISOTOPESVOL',NBISO,2,VOLISO)
      IF(KSOT.GT.0) THEN
        NRES2=NRES2+1
        DO 130 ISO=1,NBISO
        IF((ISONRF(1,ISO).EQ.ISONRF(1,KSOT)).AND.
     1     (ISONRF(2,ISO).EQ.ISONRF(2,KSOT)).AND.
     2     (ISONRF(3,ISO).EQ.ISONRF(3,KSOT)).AND.
     3     (LSHI(ISO).EQ.INRS)) LSHI2(ISO)=NRES2
        IF((ISONAM(1,ISO).EQ.ISONAM(1,KSOT)).AND.
     1     (ISONAM(2,ISO).EQ.ISONAM(2,KSOT)).AND.
     2     (LSHI(ISO).EQ.INRS)) LSHI2(ISO)=NRES2
  130   CONTINUE
        GO TO 100
      ENDIF
      IF(NRES2.EQ.NRES1) THEN
        WRITE(HSMG,'(43HTONDRV: NO RESONANT ISOTOPES IN RESONANT RE,
     1  11HGION NUMBER,I4,5H (1).)') INRS
        CALL XABORT(HSMG)
      ENDIF
      NRES1=NRES2
  140 CONTINUE
*----
*  ITERATION LOOP
*----
      NITER=0
  160 NITER=NITER+1
      START=(NITER.EQ.1)
      IF(IMPX.GT.5) WRITE (6,430) NITER
      DO 170 L=IGRMIN,IGRMAX
      SIGT1(0:NBMIX,L)=SIGT2(0:NBMIX,L)
  170 CONTINUE
      DO 210 INRS=1,NRES2
      NBNRS=0
      TEXT12=' '
      DO 200 IBM=1,NBMIX
      LOGDO=.FALSE.
      DO 180 I=1,NREG
      LOGDO=LOGDO.OR.(MAT(I).EQ.IBM)
  180 CONTINUE
      IF(.NOT.LOGDO) GO TO 200
      DO 190 ISO=1,NBISO
      IF((MIX(ISO).EQ.IBM).AND.(LSHI2(ISO).EQ.INRS)) THEN
         WRITE(HNAMIS,'(3A4)') (ISONAM(I0,ISO),I0=1,3)
         IF(HNAMIS.NE.TEXT12) THEN
           IF(IMPX.GT.5) WRITE(6,'(/29H TONDRV: PROCESSING ISOTOPE '',
     1     A12,2H''.)') HNAMIS
           NBNRS=NBNRS+1
           TEXT12=HNAMIS
         ENDIF
      ENDIF
  190 CONTINUE
  200 CONTINUE
      IF(NBNRS.EQ.0) THEN
         IF(START.AND.(IMPX.GE.1)) WRITE(6,385) 'TONDRV',INRS
         GO TO 210
      ELSE IF(START.AND.(NBNRS.GT.1).AND.(IMPX.GE.1)) THEN
         WRITE (6,370) NBNRS,INRS
      ENDIF
      CALL TONSN3 (IPLIB,IPTRK,IFTRAK,NGRO,NBISO,NBMIX,NREG,NUN,
     1 CDOOR,INRS,NBNRS,IMPX,ISONAM,MIX,DEN,SN,LSHI2,IPHASE,MAT,
     2 VOL,KEYFLX,LEAKSW,TITR,START,SIGT2,SIGT3,NOCONV,ICPIJ,TK3,
     3 TK4)
  210 CONTINUE
      ZZMAX=0.0
      LNGRO=0
      ICOUNT=0
      DO 240 L=IGRMIN,IGRMAX
      ZNORM=0.0
      DO 220 IBM=1,NBMIX
      ZNORM=MAX(ZNORM,ABS(SIGT2(IBM,L)))
  220 CONTINUE
      ZMAX=0.0
      MASKL(L)=.FALSE.
      DO 230 IBM=1,NBMIX
      YMAX=ABS(SIGT1(IBM,L)-SIGT2(IBM,L))/ZNORM
      ZMAX=MAX(ZMAX,YMAX)
      NOCONV(IBM,L)=(NOCONV(IBM,L).AND.(YMAX.GT.EPS))
      MASKL(L)=MASKL(L).OR.NOCONV(IBM,L)
  230 CONTINUE
      IF(MASKL(L)) ICOUNT=ICOUNT+1
      IF(ZMAX.GT.ZZMAX) THEN
         ZZMAX=ZMAX
         LNGRO=L
      ENDIF
  240 CONTINUE
      IF(IMPX.GT.5) WRITE (6,440) NITER,ICOUNT,ZZMAX,LNGRO
      IF(IMPX.GE.10) THEN
         WRITE (6,450) (L,MASKL(L),L=IGRMIN,IGRMAX)
         WRITE (6,'(/31H INPUT MACROSCOPIC X-S IN GROUP,I4,1H:)') LNGRO
         WRITE (6,'(1X,1P,10E12.4)') (SIGT1(IBM,LNGRO),IBM=1,NBMIX)
         WRITE (6,'(/32H OUTPUT MACROSCOPIC X-S IN GROUP,I4,1H:)') LNGRO
         WRITE (6,'(1X,1P,10E12.4)') (SIGT2(IBM,LNGRO),IBM=1,NBMIX)
      ENDIF
      IF(IMPX.GT.5) THEN
         WRITE (6,'(/29H OUTPUT DILUTION X-S IN GROUP,I4,1H:)') LNGRO
         WRITE (6,'(1X,1P,10E12.4)') (SN(LNGRO,J),J=1,NBISO)
      ENDIF
      IF((NITER.GE.MAXX0).AND.(ICOUNT.GT.0)) THEN
         WRITE (6,390)
         GO TO 250
      ELSE IF(ICOUNT.GT.0) THEN
         GO TO 160
      ENDIF
*----
*  CONVERGENCE IS OBTAINED
*----
  250 IF(IMPX.GE.2) THEN
         WRITE (6,'(/20H TONE OUTPUT VALUES:/)')
         WRITE(6,415) ((ISONAM(I0,J),I0=1,2),J=1,NBISO)
         DO 260 L=IGRMIN,IGRMAX
         WRITE(6,420) L
         WRITE(6,460) (SN(L,J),J=1,NBISO)
         IF(IMPX.GE.5) WRITE(6,480) (SIGT2(IBM,L),IBM=1,NBMIX)
  260    CONTINUE
         WRITE(6,490)
      ENDIF
*----
*  COMPUTE THE NEW SELF-SHIELDED MACROSCOPIC CROSS SECTIONS
*----
      MASKL(:NGRO)=.FALSE.
      DO 270 LLL=IGRMIN,IGRMAX
      MASKL(LLL)=.TRUE.
  270 CONTINUE
      DO 290 IBM=1,NBMIX
      DO 280 ISO=1,NBISO
      MASK(IBM)=(MIX(ISO).EQ.IBM).AND.(LSHI(ISO).GT.0)
      IF(MASK(IBM)) GO TO 290
  280 CONTINUE
  290 CONTINUE
      ITSTMP=0
      TMPDAY(1)=0.0
      TMPDAY(2)=0.0
      TMPDAY(3)=0.0
      CALL LIBMIX(IPLIB,NBMIX,NGRO,NBISO,ISONAM,MIX,DEN,MASK,MASKL,
     > ITSTMP,TMPDAY)
      IF(IMPX.GT.0) WRITE (6,500) NITER,ZZMAX
*----
*  COMPUTE THE SPH FACTORS
*----
      IF(KSPH.EQ.1) THEN
         CALL LCMSIX(IPLIB,'MACROLIB',1)
         JPLIB=LCMGID(IPLIB,'GROUP')
         DO 300 LLL=IGRMIN,IGRMAX
         IF(IPROB.EQ.0) LL=LLL
         IF(IPROB.EQ.1) LL=NGRO-LLL+1
         KPLIB=LCMGIL(JPLIB,LL)
         SIGT2(0,LLL)=0.0
         CALL LCMGET(KPLIB,'NTOT0',SIGT2(1,LLL))
         IF(ITRANZ.NE.0) THEN
            SIGT3(0,LLL)=0.0
            CALL LCMGET(KPLIB,'TRANC',SIGT3(1,LLL))
         ELSE
            SIGT3(0:NBMIX,LLL)=0.0
         ENDIF
  300    CONTINUE
         CALL LCMSIX(IPLIB,' ',2)
         DO 340 INRS=1,NRES2
         NBNRS=0
         TEXT12=' '
         DO 330 IBM=1,NBMIX
         LOGDO=.FALSE.
         DO 310 I=1,NREG
         LOGDO=LOGDO.OR.(MAT(I).EQ.IBM)
  310    CONTINUE
         IF(.NOT.LOGDO) GO TO 330
         DO 320 ISO=1,NBISO
         IF((MIX(ISO).EQ.IBM).AND.(LSHI2(ISO).EQ.INRS)) THEN
            WRITE(HNAMIS,'(3A4)') (ISONAM(I0,ISO),I0=1,3)
            IF(HNAMIS.NE.TEXT12) THEN
              NBNRS=NBNRS+1
              TEXT12=HNAMIS
            ENDIF
         ENDIF
  320    CONTINUE
  330    CONTINUE
         IF(NBNRS.GT.1) THEN
           ALLOCATE(SPH(NBMIX,NGRO))
           SPH(:NBMIX,:NGRO)=1.0
           CALL TONSPH(IPLIB,IPTRK,IFTRAK,NREG,NUN,NBMIX,NBISO,ISONAM,
     1     MAT,VOL,KEYFLX,CDOOR,INRS,LEAKSW,IMPX,DEN,MIX,LSHI2,ITRANZ,
     2     IPHASE,NGRO,IGRMIN,IGRMAX,NBNRS,TITR,SIGT2,SIGT3,SN,SPH,
     3     ICPIJ,TK3,TK4)
           DEALLOCATE(SPH)
         ENDIF
  340    CONTINUE
         CALL LIBMIX(IPLIB,NBMIX,NGRO,NBISO,ISONAM,MIX,DEN,MASK,MASKL,
     >   ITSTMP,TMPDAY)
         CALL KDRCPU(TK2)
      ENDIF
      DEALLOCATE(LSHI2)
      CALL KDRCPU(TK2)
      IF(IMPX.GT.1) WRITE(6,'(/9H TONDRV: ,F8.1,18H SECOND TO PERFORM,
     1 16H SELF SHIELDING;/9X,F8.1,30H SECOND TO COMPUTE SYSTEM MATR,
     2 5HICES;/9X,F8.1,31H SECOND TO COMPUTE FLUX VALUES;/9X,I7,2X,
     3 25HFLUX SOLUTION DOOR CALLS.)') TK2-TK1,TK3,TK4,ICPIJ
*----
*  STORE THE GENERAL SHIBA PARAMETERS
*----
      IPAR(:NSTATE)=0
      IPAR(1)=IGRMIN
      IPAR(2)=IGRMAX
      IPAR(3)=MAXX0
      IPAR(4)=KSPH
      IPAR(5)=0
      IPAR(6)=ITRANZ
      IPAR(7)=1
      IPAR(8)=IPHASE
      CALL LCMSIX(IPLIB,'SHIBA',1)
      CALL LCMPUT(IPLIB,'STATE-VECTOR',NSTATE,1,IPAR)
      CALL LCMPUT(IPLIB,'EPS-SHIBA',1,2,EPS)
      CALL LCMSIX(IPLIB,' ',2)
*----
*  SCRATCH STORAGE DEALLOCATION
*----
      DEALLOCATE(NOCONV,MASKL,MASK)
      DEALLOCATE(VOLISO,SIGT3,SIGT2,SIGT1)
      RETURN
*
  350 FORMAT(//26H VOLUME NB.              :,11(I5,3X,1HI))
  360 FORMAT(  26H MIXTURE (MAT)           :,11(I5,3X,1HI))
  370 FORMAT(/42H TONDRV: USE THE NORDHEIM MODEL TO PROCESS,I3,5H RESO,
     1 39HNANT MIXTURES IN RESONANT REGION NUMBER,I3,1H.)
  380 FORMAT(32HTONDRV: INVALID VALUE OF NBMIX (,I5,2H).)
  385 FORMAT(A6,1X,': RESONANT REGION =',I10,1X,'NOT USED.')
  390 FORMAT(/1X,61(1H*)/42H TONDRV: MAXIMUM NUMBER OF SELF-SHIELDING ,
     1 20HITERATIONS EXCEEDED./1X,61(1H*)/)
  400 FORMAT(
     > 1X,'MULTIDIMENSIONAL SELF-SHIELDING CALCULATION WITH TONE''S ',
     > 'METHOD -> A. HEBERT'/
     > 1X,A72/
     > 1X,'COLLISION PROBABILITY MODULE: ',A12/)
  405 FORMAT(/8H OPTIONS/8H -------/
     1  7H IGRMIN,I8,27H   (FIRST GROUP TO PROCESS)/
     2  7H IGRMAX,I8,34H   (MOST THERMAL GROUP TO PROCESS)/
     3  7H MAXX0 ,I8,33H   (MAXIMUM NUMBER OF ITERATIONS)/
     4  7H KSPH  ,I8,46H   (=0: NO SPH CORRECTION; =1: SPH CORRECTION ,
     5  20HIN RESONANT REGIONS)/
     6  7H ITRANZ,I8,45H   (0=NO TRANSPORT CORRECTION/1=APOLLO TYPE/2,
     7  57H=RECOVER FROM LIBRARY/3=WIMS-D TYPE/4=LEAKAGE CORRECTION)/
     8  7H IPHASE,I8,37H   (=1: NATIVE ASSEMBLY; =2: USE PIJ)/
     9  7H EPS   ,1P,E8.1,22H   (STOPING CRITERION)/)
  410 FORMAT(/52H TONDRV: THERE IS NO REQUEST TO PROCESS ANY RESONANT,
     1 9H ISOTOPE./)
  415 FORMAT(12X,2A4,3X,2A4,3X,2A4,3X,2A4,3X,2A4,3X,2A4,3X,2A4,3X,2A4,
     1 3X,2A4,3X,2A4,3X,2A4)
  420 FORMAT(1X,131(1H-)/8H GROUP =,I4/)
  430 FORMAT(/40H PERFORMING SELF-SHIELDING ITERATION NB.,I5)
  440 FORMAT(/27H SELF-SHIELDING ITERATION =,I4,5X,14HNUMBER OF NON ,
     1 18HCONVERGED GROUPS =,I4,5X,7HERROR =,1P,E13.4,0P,9H IN GROUP,
     2 I4/)
  450 FORMAT(7H MASKL(,I3,2H)=,L1,:,8H  MASKL(,I3,2H)=,L1,:,8H  MASKL(,
     1 I3,2H)=,L1,:,8H  MASKL(,I3,2H)=,L1,:,8H  MASKL(,I3,2H)=,L1,:,
     2 8H  MASKL(,I3,2H)=,L1,:,8H  MASKL(,I3,2H)=,L1,:,8H  MASKL(,I3,
     3 2H)=,L1,:,8H  MASKL(,I3,2H)=,L1)
  460 FORMAT(/37H MICROSCOPIC DILUTION CROSS SECTIONS:/(9X,1P,11E11.3))
  480 FORMAT(/34H MACROSCOPIC TOTAL CROSS SECTIONS:/(9X,1P,11E11.3))
  490 FORMAT(/1X,131(1H-)/)
  500 FORMAT(/40H CONVERGENCE REACHED AT TONE ITERATION =,I4,7H  ERROR,
     1 2H =,1P,E11.3/)
      END