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!> @file
!> @brief This subroutine determines groups of variable size.
!> @author Harry Glahn @date 1994-02-01
!>
!> This subroutine determines groups of variable size, but at least of
!> size minpk, the associated max(JMAX) and min(JMIN), the number of
!> bits necessary to hold the values in each group LBIT, the number of
!> values in each group NOV, the number of bits necessary to pack the
!> JMIN values IBIT, the number of bits necessary to pack the LBIT
!> values JBIT, and the number of bits necessary to pack the NOV
!> values KBIT.
!>
!> The routine is designed to determine the groups such that a small
!> number of bits is necessary to pack the data without excessive
!> computations. If all values in the group are zero, the number of
!> bits to use in packing is defined as zero when there can be no
!> missing values; when there can be missing values, the number of
!> bits must be at least 1 to have the capability to recognize the
!> missing value. However, if all values in a group are missing, the
!> number of bits needed is 0, and the unpacker recognizes this.
!>
!> All variables are integer, even though the groups are initially of
!> size minpk or larger, an adjustment between two groups (the
!> lookback procedure) may make a group smaller than minpk. The
!> control on group size is that the sum of the sizes of the two
!> consecutive groups, each of size minpk or larger, is not decreased.
!>
!> When determining the number of bits necessary for packing, the
!> largest value that can be accommodated in, say mbits is 2**mbits-1
!> this largest value (and the next smallest value) is reserved for
!> the missing value indicator (only) when is 523 ne 0.
!>
!> If the dimension NDG is not large enough to hold all the groups,
!> the local value of minpk is increased by 50 percent. this is
!> repeated until ndg will suffice. A diagnostic is printed whenever
!> this happens, which should be very rarely. If it happens often, NDG
!> in subroutine pack should be increased and a corresponding increase
!> in subroutine unpack made.
!>
!> Considerable code is provided so that no more checking for missing
!> values within loops is done than necessary; the added efficiency of
!> this is relatively minor, but does no harm.
!>
!> For grib2, the reference value for the length of groups in nov and
!> for the number of bits necessary to pack group values are
!> determined, and subtracted before jbit and kbit are
!> determined. When 1 or more groups are large compared to the others,
!> the width of all groups must be as large as the largest. A
!> subroutine reduce breaks up large groups into 2 or more to reduce
!> total bits required. If reduce() should abort, pack_gp() will be
!> executed again without the call to reduce.
!>
!> @param[in] IC array to hold data for packing. The values do not
!> have to be positive at this point, but must be in the range
!> -2**30 to +2**30 (the value of mallow). These integer values
!> will be retained exactly through packing and unpacking.
!> @param[in] NXY number of values in IC. also treated as
!> its dimension.
!> @param[in] IS523 missing value management 0=data contains no
!> missing values: 1 data contains primary missing values; 2=data
!> contains primary and secondary missing values.
!> @param[in] MINPK the minimum size of each group, except possibly
!> the last one.
!> @param[in] INC the number of values to add to an already existing
!> group in determining whether or not to start a new group. Ideally,
!> this would be 1, but each time inc values are attempted, the max
!> and min of the next minpk values must be found. This is "a loop
!> within a loop," and a slightly larger value may give about as good
!> results with slightly less computational time. If inc is le 0, 1
!> is used, and a diagnostic is output. note: it is expected that
!> INC will equal 1. The code uses inc primarily in the loops
!> starting at statement 180. If INC were 1, there would not need
!> to be loops as such. However, kinc (the local value of INC) is
!> set ge 1 when near the end of the data to forestall a very small
!> group at the end.
!> @param[in] MISSP when missing points can be present in the data,
!> they will have the value missp or misss. missp is the primary
!> missing value and misss is the secondary missing value. These
!> must not be values that would occur with subtracting the minimum
!> (reference) value or scaling. for example, missp = 0 would not
!> be advisable.
!> @param[in] MISSS secondary missing value indicator (see missp).
!> @param[out] JMIN the minimum of each group (j=1,lx).
!> @param[out] JMAX the maximum of each group (j=1,lx). This is not
!> really needed, but since the max of each group must be found,
!> saving it here is cheap in case the user wants it.
!> @param[out] LBIT the number of bits necessary to pack each group
!> (j=1,lx). It is assumed the minimum of each group will be removed
!> before packing, and the values to pack will, therefore, all be
!> positive. However, IC does not necessarily contain all positive
!> values. If the overall minimum has been removed (the usual case),
!> then IC will contain only positive values.
!> @param[out] NOV the number of values in each group (j=1,lx).
!> @param[in] NDG the dimension of JMIN, JMAX, LBIT, and NOV.
!> @param[out] LX the number of groups determined.
!> @param[out] IBIT the number of bits necessary to pack the JMIN(j)
!> values, j=1,LX.
!> @param[out] JBIT the number of bits necessary to pack the LBIT(j)
!> values, j=1,LX.
!> @param[out] KBIT the number of bits necessary to pack the NOV(j)
!> values, j=1,LX.
!> @param[out] NOVREF reference value for NOV.
!> @param[out] LBITREF reference value for LBIT.
!> @param[out] IER error return.
!> - 706 value will not pack in 30 bits--fatal
!> - 714 error in reduce--non-fatal
!> - 715 ngp not large enough in reduce--non-fatal
!> - 716 minpk inceased--non-fatal
!> - 717 inc set = 1--non-fatal
!>
!> @author Harry Glahn @date 1994-02-01
SUBROUTINE PACK_GP(IC,NXY,IS523,MINPK,INC,MISSP,MISSS,
1 JMIN,JMAX,LBIT,NOV,NDG,LX,IBIT,JBIT,KBIT,
2 NOVREF,LBITREF,IER)
PARAMETER (MALLOW=2**30+1)
C
CHARACTER*1 CFEED
LOGICAL ADDA
C
DIMENSION IC(NXY)
DIMENSION JMIN(NDG),JMAX(NDG),LBIT(NDG),NOV(NDG)
DIMENSION MISSLX(NDG)
C MISSLX( ) IS AN AUTOMATIC ARRAY.
INTEGER, PARAMETER :: IBXX2(0:30) = (/ 1, 2, 4, 8, 16, 32, 64, &
& 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, &
& 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, &
& 16777216, 33554432, 67108864, 134217728, 268435456, &
& 536870912, 1073741824 /)
C
PARAMETER (IFEED=12)
C
IER=0
IERSAV=0
C CALL TIMPR(KFILDO,KFILDO,'START PACK_GP ')
CFEED=CHAR(IFEED)
C
IRED=0
C IRED IS A FLAG. WHEN ZERO, REDUCE WILL BE CALLED.
C IF REDUCE ABORTS, IRED = 1 AND IS NOT CALLED. IN
C THIS CASE PACK_GP EXECUTES AGAIN EXCEPT FOR REDUCE.
C
IF(INC.LE.0)THEN
IERSAV=717
C WRITE(KFILDO,101)INC
C101 FORMAT(/' ****INC ='I8,' NOT CORRECT IN PACK_GP. 1 IS USED.')
ENDIF
C
C THERE WILL BE A RESTART OF PACK_GP IF SUBROUTINE REDUCE
C ABORTS. THIS SHOULD NOT HAPPEN, BUT IF IT DOES, PACK_GP
C WILL COMPLETE WITHOUT SUBROUTINE REDUCE. A NON FATAL
C DIAGNOSTIC RETURN IS PROVIDED.
C
102 KINC=MAX(INC,1)
LMINPK=MINPK
C
C THERE WILL BE A RESTART AT 105 IS NDG IS NOT LARGE ENOUGH.
C A NON FATAL DIAGNOSTIC RETURN IS PROVIDED.
C
105 KSTART=1
KTOTAL=0
LX=0
ADDA=.FALSE.
LMISS=0
IF(IS523.EQ.1)LMISS=1
IF(IS523.EQ.2)LMISS=2
C
C *************************************
C
C THIS SECTION COMPUTES STATISTICS FOR GROUP A. GROUP A IS
C A GROUP OF SIZE LMINPK.
C
C *************************************
C
IBITA=0
MINA=MALLOW
MAXA=-MALLOW
MINAK=MALLOW
MAXAK=-MALLOW
C
C FIND THE MIN AND MAX OF GROUP A. THIS WILL INITIALLY BE OF
C SIZE LMINPK (IF THERE ARE STILL LMINPK VALUES IN IC( )), BUT
C WILL INCREASE IN SIZE IN INCREMENTS OF INC UNTIL A NEW
C GROUP IS STARTED. THE DEFINITION OF GROUP A IS DONE HERE
C ONLY ONCE (UPON INITIAL ENTRY), BECAUSE A GROUP B CAN ALWAYS
C BECOME A NEW GROUP A AFTER A IS PACKED, EXCEPT IF LMINPK
C HAS TO BE INCREASED BECAUSE NDG IS TOO SMALL. THEREFORE,
C THE SEPARATE LOOPS FOR MISSING AND NON-MISSING HERE BUYS
C ALMOST NOTHING.
C
NENDA=MIN(KSTART+LMINPK-1,NXY)
IF(NXY-NENDA.LE.LMINPK/2)NENDA=NXY
C ABOVE STATEMENT GUARANTEES THE LAST GROUP IS GT LMINPK/2 BY
C MAKING THE ACTUAL GROUP LARGER. IF A PROVISION LIKE THIS IS
C NOT INCLUDED, THERE WILL MANY TIMES BE A VERY SMALL GROUP
C AT THE END. USE SEPARATE LOOPS FOR MISSING AND NO MISSING
C VALUES FOR EFFICIENCY.
C
C DETERMINE WHETHER THERE IS A LONG STRING OF THE SAME VALUE
C UNLESS NENDA = NXY. THIS MAY ALLOW A LARGE GROUP A TO
C START WITH, AS WITH MISSING VALUES. SEPARATE LOOPS FOR
C MISSING OPTIONS. THIS SECTION IS ONLY EXECUTED ONCE,
C IN DETERMINING THE FIRST GROUP. IT HELPS FOR AN ARRAY
C OF MOSTLY MISSING VALUES OR OF ONE VALUE, SUCH AS
C RADAR OR PRECIP DATA.
C
IF(NENDA.NE.NXY.AND.IC(KSTART).EQ.IC(KSTART+1))THEN
C NO NEED TO EXECUTE IF FIRST TWO VALUES ARE NOT EQUAL.
C
IF(IS523.EQ.0)THEN
C THIS LOOP IS FOR NO MISSING VALUES.
C
DO 111 K=KSTART+1,NXY
C
IF(IC(K).NE.IC(KSTART))THEN
NENDA=MAX(NENDA,K-1)
GO TO 114
ENDIF
C
111 CONTINUE
C
NENDA=NXY
C FALL THROUGH THE LOOP MEANS ALL VALUES ARE THE SAME.
C
ELSEIF(IS523.EQ.1)THEN
C THIS LOOP IS FOR PRIMARY MISSING VALUES ONLY.
C
DO 112 K=KSTART+1,NXY
C
IF(IC(K).NE.MISSP)THEN
C
IF(IC(K).NE.IC(KSTART))THEN
NENDA=MAX(NENDA,K-1)
GO TO 114
ENDIF
C
ENDIF
C
112 CONTINUE
C
NENDA=NXY
C FALL THROUGH THE LOOP MEANS ALL VALUES ARE THE SAME.
C
ELSE
C THIS LOOP IS FOR PRIMARY AND SECONDARY MISSING VALUES.
C
DO 113 K=KSTART+1,NXY
C
IF(IC(K).NE.MISSP.AND.IC(K).NE.MISSS)THEN
C
IF(IC(K).NE.IC(KSTART))THEN
NENDA=MAX(NENDA,K-1)
GO TO 114
ENDIF
C
ENDIF
C
113 CONTINUE
C
NENDA=NXY
C FALL THROUGH THE LOOP MEANS ALL VALUES ARE THE SAME.
ENDIF
C
ENDIF
C
114 IF(IS523.EQ.0)THEN
C
DO 115 K=KSTART,NENDA
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
MINAK=K
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
MAXAK=K
ENDIF
115 CONTINUE
C
ELSEIF(IS523.EQ.1)THEN
C
DO 117 K=KSTART,NENDA
IF(IC(K).EQ.MISSP)GO TO 117
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
MINAK=K
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
MAXAK=K
ENDIF
117 CONTINUE
C
ELSE
C
DO 120 K=KSTART,NENDA
IF(IC(K).EQ.MISSP.OR.IC(K).EQ.MISSS)GO TO 120
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
MINAK=K
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
MAXAK=K
ENDIF
120 CONTINUE
C
ENDIF
C
KOUNTA=NENDA-KSTART+1
C
C INCREMENT KTOTAL AND FIND THE BITS NEEDED TO PACK THE A GROUP.
C
KTOTAL=KTOTAL+KOUNTA
MISLLA=0
IF(MINA.NE.MALLOW)GO TO 125
C ALL MISSING VALUES MUST BE ACCOMMODATED.
MINA=0
MAXA=0
MISLLA=1
IBITB=0
IF(IS523.NE.2)GO TO 130
C WHEN ALL VALUES ARE MISSING AND THERE ARE NO
C SECONDARY MISSING VALUES, IBITA = 0.
C OTHERWISE, IBITA MUST BE CALCULATED.
C
125 ITEST=MAXA-MINA+LMISS
C
DO 126 IBITA=0,30
IF(ITEST.LT.IBXX2(IBITA))GO TO 130
C*** THIS TEST IS THE SAME AS:
C*** IF(MAXA-MINA.LT.IBXX2(IBITA)-LMISS)GO TO 130
126 CONTINUE
C
C WRITE(KFILDO,127)MAXA,MINA
C127 FORMAT(' ****ERROR IN PACK_GP. VALUE WILL NOT PACK IN 30 BITS.',
C 1 ' MAXA ='I13,' MINA ='I13,'. ERROR AT 127.')
IER=706
GO TO 900
C
130 CONTINUE
C
C***D WRITE(KFILDO,131)KOUNTA,KTOTAL,MINA,MAXA,IBITA,MISLLA
C***D131 FORMAT(' AT 130, KOUNTA ='I8,' KTOTAL ='I8,' MINA ='I8,
C***D 1 ' MAXA ='I8,' IBITA ='I3,' MISLLA ='I3)
C
133 IF(KTOTAL.GE.NXY)GO TO 200
C
C *************************************
C
C THIS SECTION COMPUTES STATISTICS FOR GROUP B. GROUP B IS A
C GROUP OF SIZE LMINPK IMMEDIATELY FOLLOWING GROUP A.
C
C *************************************
C
140 MINB=MALLOW
MAXB=-MALLOW
MINBK=MALLOW
MAXBK=-MALLOW
IBITBS=0
MSTART=KTOTAL+1
C
C DETERMINE WHETHER THERE IS A LONG STRING OF THE SAME VALUE.
C THIS WORKS WHEN THERE ARE NO MISSING VALUES.
C
NENDB=1
C
IF(MSTART.LT.NXY)THEN
C
IF(IS523.EQ.0)THEN
C THIS LOOP IS FOR NO MISSING VALUES.
C
DO 145 K=MSTART+1,NXY
C
IF(IC(K).NE.IC(MSTART))THEN
NENDB=K-1
GO TO 150
ENDIF
C
145 CONTINUE
C
NENDB=NXY
C FALL THROUGH THE LOOP MEANS ALL REMAINING VALUES
C ARE THE SAME.
ENDIF
C
ENDIF
C
150 NENDB=MAX(NENDB,MIN(KTOTAL+LMINPK,NXY))
C**** 150 NENDB=MIN(KTOTAL+LMINPK,NXY)
C
IF(NXY-NENDB.LE.LMINPK/2)NENDB=NXY
C ABOVE STATEMENT GUARANTEES THE LAST GROUP IS GT LMINPK/2 BY
C MAKING THE ACTUAL GROUP LARGER. IF A PROVISION LIKE THIS IS
C NOT INCLUDED, THERE WILL MANY TIMES BE A VERY SMALL GROUP
C AT THE END. USE SEPARATE LOOPS FOR MISSING AND NO MISSING
C
C USE SEPARATE LOOPS FOR MISSING AND NO MISSING VALUES
C FOR EFFICIENCY.
C
IF(IS523.EQ.0)THEN
C
DO 155 K=MSTART,NENDB
IF(IC(K).LE.MINB)THEN
MINB=IC(K)
C NOTE LE, NOT LT. LT COULD BE USED BUT THEN A
C RECOMPUTE OVER THE WHOLE GROUP WOULD BE NEEDED
C MORE OFTEN. SAME REASONING FOR GE AND OTHER
C LOOPS BELOW.
MINBK=K
ENDIF
IF(IC(K).GE.MAXB)THEN
MAXB=IC(K)
MAXBK=K
ENDIF
155 CONTINUE
C
ELSEIF(IS523.EQ.1)THEN
C
DO 157 K=MSTART,NENDB
IF(IC(K).EQ.MISSP)GO TO 157
IF(IC(K).LE.MINB)THEN
MINB=IC(K)
MINBK=K
ENDIF
IF(IC(K).GE.MAXB)THEN
MAXB=IC(K)
MAXBK=K
ENDIF
157 CONTINUE
C
ELSE
C
DO 160 K=MSTART,NENDB
IF(IC(K).EQ.MISSP.OR.IC(K).EQ.MISSS)GO TO 160
IF(IC(K).LE.MINB)THEN
MINB=IC(K)
MINBK=K
ENDIF
IF(IC(K).GE.MAXB)THEN
MAXB=IC(K)
MAXBK=K
ENDIF
160 CONTINUE
C
ENDIF
C
KOUNTB=NENDB-KTOTAL
MISLLB=0
IF(MINB.NE.MALLOW)GO TO 165
C ALL MISSING VALUES MUST BE ACCOMMODATED.
MINB=0
MAXB=0
MISLLB=1
IBITB=0
C
IF(IS523.NE.2)GO TO 170
C WHEN ALL VALUES ARE MISSING AND THERE ARE NO SECONDARY
C MISSING VALUES, IBITB = 0. OTHERWISE, IBITB MUST BE
C CALCULATED.
C
165 DO 166 IBITB=IBITBS,30
IF(MAXB-MINB.LT.IBXX2(IBITB)-LMISS)GO TO 170
166 CONTINUE
C
C WRITE(KFILDO,167)MAXB,MINB
C167 FORMAT(' ****ERROR IN PACK_GP. VALUE WILL NOT PACK IN 30 BITS.',
C 1 ' MAXB ='I13,' MINB ='I13,'. ERROR AT 167.')
IER=706
GO TO 900
C
C COMPARE THE BITS NEEDED TO PACK GROUP B WITH THOSE NEEDED
C TO PACK GROUP A. IF IBITB GE IBITA, TRY TO ADD TO GROUP A.
C IF NOT, TRY TO ADD A'S POINTS TO B, UNLESS ADDITION TO A
C HAS BEEN DONE. THIS LATTER IS CONTROLLED WITH ADDA.
C
170 CONTINUE
C
C***D WRITE(KFILDO,171)KOUNTA,KTOTAL,MINA,MAXA,IBITA,MISLLA,
C***D 1 MINB,MAXB,IBITB,MISLLB
C***D171 FORMAT(' AT 171, KOUNTA ='I8,' KTOTAL ='I8,' MINA ='I8,
C***D 1 ' MAXA ='I8,' IBITA ='I3,' MISLLA ='I3,
C***D 2 ' MINB ='I8,' MAXB ='I8,' IBITB ='I3,' MISLLB ='I3)
C
IF(IBITB.GE.IBITA)GO TO 180
IF(ADDA)GO TO 200
C
C *************************************
C
C GROUP B REQUIRES LESS BITS THAN GROUP A. PUT AS MANY OF A'S
C POINTS INTO B AS POSSIBLE WITHOUT EXCEEDING THE NUMBER OF
C BITS NECESSARY TO PACK GROUP B.
C
C *************************************
C
KOUNTS=KOUNTA
C KOUNTA REFERS TO THE PRESENT GROUP A.
MINTST=MINB
MAXTST=MAXB
MINTSTK=MINBK
MAXTSTK=MAXBK
C
C USE SEPARATE LOOPS FOR MISSING AND NO MISSING VALUES
C FOR EFFICIENCY.
C
IF(IS523.EQ.0)THEN
C
DO 1715 K=KTOTAL,KSTART,-1
C START WITH THE END OF THE GROUP AND WORK BACKWARDS.
IF(IC(K).LT.MINB)THEN
MINTST=IC(K)
MINTSTK=K
ELSEIF(IC(K).GT.MAXB)THEN
MAXTST=IC(K)
MAXTSTK=K
ENDIF
IF(MAXTST-MINTST.GE.IBXX2(IBITB))GO TO 174
C NOTE THAT FOR THIS LOOP, LMISS = 0.
MINB=MINTST
MAXB=MAXTST
MINBK=MINTSTK
MAXBK=MAXTSTK
KOUNTA=KOUNTA-1
C THERE IS ONE LESS POINT NOW IN A.
1715 CONTINUE
C
ELSEIF(IS523.EQ.1)THEN
C
DO 1719 K=KTOTAL,KSTART,-1
C START WITH THE END OF THE GROUP AND WORK BACKWARDS.
IF(IC(K).EQ.MISSP)GO TO 1718
IF(IC(K).LT.MINB)THEN
MINTST=IC(K)
MINTSTK=K
ELSEIF(IC(K).GT.MAXB)THEN
MAXTST=IC(K)
MAXTSTK=K
ENDIF
IF(MAXTST-MINTST.GE.IBXX2(IBITB)-LMISS)GO TO 174
C FOR THIS LOOP, LMISS = 1.
MINB=MINTST
MAXB=MAXTST
MINBK=MINTSTK
MAXBK=MAXTSTK
MISLLB=0
C WHEN THE POINT IS NON MISSING, MISLLB SET = 0.
1718 KOUNTA=KOUNTA-1
C THERE IS ONE LESS POINT NOW IN A.
1719 CONTINUE
C
ELSE
C
DO 173 K=KTOTAL,KSTART,-1
C START WITH THE END OF THE GROUP AND WORK BACKWARDS.
IF(IC(K).EQ.MISSP.OR.IC(K).EQ.MISSS)GO TO 1729
IF(IC(K).LT.MINB)THEN
MINTST=IC(K)
MINTSTK=K
ELSEIF(IC(K).GT.MAXB)THEN
MAXTST=IC(K)
MAXTSTK=K
ENDIF
IF(MAXTST-MINTST.GE.IBXX2(IBITB)-LMISS)GO TO 174
C FOR THIS LOOP, LMISS = 2.
MINB=MINTST
MAXB=MAXTST
MINBK=MINTSTK
MAXBK=MAXTSTK
MISLLB=0
C WHEN THE POINT IS NON MISSING, MISLLB SET = 0.
1729 KOUNTA=KOUNTA-1
C THERE IS ONE LESS POINT NOW IN A.
173 CONTINUE
C
ENDIF
C
C AT THIS POINT, KOUNTA CONTAINS THE NUMBER OF POINTS TO CLOSE
C OUT GROUP A WITH. GROUP B NOW STARTS WITH KSTART+KOUNTA AND
C ENDS WITH NENDB. MINB AND MAXB HAVE BEEN ADJUSTED AS
C NECESSARY TO REFLECT GROUP B (EVEN THOUGH THE NUMBER OF BITS
C NEEDED TO PACK GROUP B HAVE NOT INCREASED, THE END POINTS
C OF THE RANGE MAY HAVE).
C
174 IF(KOUNTA.EQ.KOUNTS)GO TO 200
C ON TRANSFER, GROUP A WAS NOT CHANGED. CLOSE IT OUT.
C
C ONE OR MORE POINTS WERE TAKEN OUT OF A. RANGE AND IBITA
C MAY HAVE TO BE RECOMPUTED; IBITA COULD BE LESS THAN
C ORIGINALLY COMPUTED. IN FACT, GROUP A CAN NOW CONTAIN
C ONLY ONE POINT AND BE PACKED WITH ZERO BITS
C (UNLESS MISSS NE 0).
C
NOUTA=KOUNTS-KOUNTA
KTOTAL=KTOTAL-NOUTA
KOUNTB=KOUNTB+NOUTA
IF(NENDA-NOUTA.GT.MINAK.AND.NENDA-NOUTA.GT.MAXAK)GO TO 200
C WHEN THE ABOVE TEST IS MET, THE MIN AND MAX OF THE
C CURRENT GROUP A WERE WITHIN THE OLD GROUP A, SO THE
C RANGE AND IBITA DO NOT NEED TO BE RECOMPUTED.
C NOTE THAT MINAK AND MAXAK ARE NO LONGER NEEDED.
IBITA=0
MINA=MALLOW
MAXA=-MALLOW
C
C USE SEPARATE LOOPS FOR MISSING AND NO MISSING VALUES
C FOR EFFICIENCY.
C
IF(IS523.EQ.0)THEN
C
DO 1742 K=KSTART,NENDA-NOUTA
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
ENDIF
1742 CONTINUE
C
ELSEIF(IS523.EQ.1)THEN
C
DO 1744 K=KSTART,NENDA-NOUTA
IF(IC(K).EQ.MISSP)GO TO 1744
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
ENDIF
1744 CONTINUE
C
ELSE
C
DO 175 K=KSTART,NENDA-NOUTA
IF(IC(K).EQ.MISSP.OR.IC(K).EQ.MISSS)GO TO 175
IF(IC(K).LT.MINA)THEN
MINA=IC(K)
ENDIF
IF(IC(K).GT.MAXA)THEN
MAXA=IC(K)
ENDIF
175 CONTINUE
C
ENDIF
C
MISLLA=0
IF(MINA.NE.MALLOW)GO TO 1750
C ALL MISSING VALUES MUST BE ACCOMMODATED.
MINA=0
MAXA=0
MISLLA=1
IF(IS523.NE.2)GO TO 177
C WHEN ALL VALUES ARE MISSING AND THERE ARE NO SECONDARY
C MISSING VALUES IBITA = 0 AS ORIGINALLY SET. OTHERWISE,
C IBITA MUST BE CALCULATED.
C
1750 ITEST=MAXA-MINA+LMISS
C
DO 176 IBITA=0,30
IF(ITEST.LT.IBXX2(IBITA))GO TO 177
C*** THIS TEST IS THE SAME AS:
C*** IF(MAXA-MINA.LT.IBXX2(IBITA)-LMISS)GO TO 177
176 CONTINUE
C
C WRITE(KFILDO,1760)MAXA,MINA
C1760 FORMAT(' ****ERROR IN PACK_GP. VALUE WILL NOT PACK IN 30 BITS.',
C 1 ' MAXA ='I13,' MINA ='I13,'. ERROR AT 1760.')
IER=706
GO TO 900
C
177 CONTINUE
GO TO 200
C
C *************************************
C
C AT THIS POINT, GROUP B REQUIRES AS MANY BITS TO PACK AS GROUPA.
C THEREFORE, TRY TO ADD INC POINTS TO GROUP A WITHOUT INCREASING
C IBITA. THIS AUGMENTED GROUP IS CALLED GROUP C.
C
C *************************************
C
180 IF(MISLLA.EQ.1)THEN
MINC=MALLOW
MINCK=MALLOW
MAXC=-MALLOW
MAXCK=-MALLOW
ELSE
MINC=MINA
MAXC=MAXA
MINCK=MINAK
MAXCK=MINAK
ENDIF
C
NOUNT=0
IF(NXY-(KTOTAL+KINC).LE.LMINPK/2)KINC=NXY-KTOTAL
C ABOVE STATEMENT CONSTRAINS THE LAST GROUP TO BE NOT LESS THAN
C LMINPK/2 IN SIZE. IF A PROVISION LIKE THIS IS NOT INCLUDED,
C THERE WILL MANY TIMES BE A VERY SMALL GROUP AT THE END.
C
C USE SEPARATE LOOPS FOR MISSING AND NO MISSING VALUES
C FOR EFFICIENCY. SINCE KINC IS USUALLY 1, USING SEPARATE
C LOOPS HERE DOESN'T BUY MUCH. A MISSING VALUE WILL ALWAYS
C TRANSFER BACK TO GROUP A.
C
IF(IS523.EQ.0)THEN
C
DO 185 K=KTOTAL+1,MIN(KTOTAL+KINC,NXY)
IF(IC(K).LT.MINC)THEN
MINC=IC(K)
MINCK=K
ENDIF
IF(IC(K).GT.MAXC)THEN
MAXC=IC(K)
MAXCK=K
ENDIF
NOUNT=NOUNT+1
185 CONTINUE
C
ELSEIF(IS523.EQ.1)THEN
C
DO 187 K=KTOTAL+1,MIN(KTOTAL+KINC,NXY)
IF(IC(K).EQ.MISSP)GO TO 186
IF(IC(K).LT.MINC)THEN
MINC=IC(K)
MINCK=K
ENDIF
IF(IC(K).GT.MAXC)THEN
MAXC=IC(K)
MAXCK=K
ENDIF
186 NOUNT=NOUNT+1
187 CONTINUE
C
ELSE
C
DO 190 K=KTOTAL+1,MIN(KTOTAL+KINC,NXY)
IF(IC(K).EQ.MISSP.OR.IC(K).EQ.MISSS)GO TO 189
IF(IC(K).LT.MINC)THEN
MINC=IC(K)
MINCK=K
ENDIF
IF(IC(K).GT.MAXC)THEN
MAXC=IC(K)
MAXCK=K
ENDIF
189 NOUNT=NOUNT+1
190 CONTINUE
C
ENDIF
C
C***D WRITE(KFILDO,191)KOUNTA,KTOTAL,MINA,MAXA,IBITA,MISLLA,
C***D 1 MINC,MAXC,NOUNT,IC(KTOTAL),IC(KTOTAL+1)
C***D191 FORMAT(' AT 191, KOUNTA ='I8,' KTOTAL ='I8,' MINA ='I8,
C***D 1 ' MAXA ='I8,' IBITA ='I3,' MISLLA ='I3,
C***D 2 ' MINC ='I8,' MAXC ='I8,
C***D 3 ' NOUNT ='I5,' IC(KTOTAL) ='I9,' IC(KTOTAL+1) =',I9)
C
C IF THE NUMBER OF BITS NEEDED FOR GROUP C IS GT IBITA,
C THEN THIS GROUP A IS A GROUP TO PACK.
C
IF(MINC.EQ.MALLOW)THEN
MINC=MINA
MAXC=MAXA
MINCK=MINAK
MAXCK=MAXAK
MISLLC=1
GO TO 195
C WHEN THE NEW VALUE(S) ARE MISSING, THEY CAN ALWAYS
C BE ADDED.
C
ELSE
MISLLC=0
ENDIF
C
IF(MAXC-MINC.GE.IBXX2(IBITA)-LMISS) GO TO 200
C
C THE BITS NECESSARY FOR GROUP C HAS NOT INCREASED FROM THE
C BITS NECESSARY FOR GROUP A. ADD THIS POINT(S) TO GROUP A.
C COMPUTE THE NEXT GROUP B, ETC., UNLESS ALL POINTS HAVE BEEN
C USED.
C
195 KTOTAL=KTOTAL+NOUNT
KOUNTA=KOUNTA+NOUNT
MINA=MINC
MAXA=MAXC
MINAK=MINCK
MAXAK=MAXCK
MISLLA=MISLLC
ADDA=.TRUE.
IF(KTOTAL.GE.NXY)GO TO 200
C
IF(MINBK.GT.KTOTAL.AND.MAXBK.GT.KTOTAL)THEN
MSTART=NENDB+1
C THE MAX AND MIN OF GROUP B WERE NOT FROM THE POINTS
C REMOVED, SO THE WHOLE GROUP DOES NOT HAVE TO BE LOOKED
C AT TO DETERMINE THE NEW MAX AND MIN. RATHER START
C JUST BEYOND THE OLD NENDB.
IBITBS=IBITB
NENDB=1
GO TO 150
ELSE
GO TO 140
ENDIF
C
C *************************************
C
C GROUP A IS TO BE PACKED. STORE VALUES IN JMIN( ), JMAX( ),
C LBIT( ), AND NOV( ).
C
C *************************************
C
200 LX=LX+1
IF(LX.LE.NDG)GO TO 205
LMINPK=LMINPK+LMINPK/2
C WRITE(KFILDO,201)NDG,LMINPK,LX
C201 FORMAT(' ****NDG ='I5,' NOT LARGE ENOUGH.',
C 1 ' LMINPK IS INCREASED TO 'I3,' FOR THIS FIELD.'/
C 2 ' LX = 'I10)
IERSAV=716
GO TO 105
C
205 JMIN(LX)=MINA
JMAX(LX)=MAXA
LBIT(LX)=IBITA
NOV(LX)=KOUNTA
KSTART=KTOTAL+1
C
IF(MISLLA.EQ.0)THEN
MISSLX(LX)=MALLOW
ELSE
MISSLX(LX)=IC(KTOTAL)
C IC(KTOTAL) WAS THE LAST VALUE PROCESSED. IF MISLLA NE 0,
C THIS MUST BE THE MISSING VALUE FOR THIS GROUP.
ENDIF
C
C***D WRITE(KFILDO,206)MISLLA,IC(KTOTAL),KTOTAL,LX,JMIN(LX),JMAX(LX),
C***D 1 LBIT(LX),NOV(LX),MISSLX(LX)
C***D206 FORMAT(' AT 206, MISLLA ='I2,' IC(KTOTAL) ='I5,' KTOTAL ='I8,
C***D 1 ' LX ='I6,' JMIN(LX) ='I8,' JMAX(LX) ='I8,
C***D 2 ' LBIT(LX) ='I5,' NOV(LX) ='I8,' MISSLX(LX) =',I7)
C
IF(KTOTAL.GE.NXY)GO TO 209
C
C THE NEW GROUP A WILL BE THE PREVIOUS GROUP B. SET LIMITS, ETC.
C
IBITA=IBITB
MINA=MINB
MAXA=MAXB
MINAK=MINBK
MAXAK=MAXBK
MISLLA=MISLLB
NENDA=NENDB
KOUNTA=KOUNTB
KTOTAL=KTOTAL+KOUNTA
ADDA=.FALSE.
GO TO 133
C
C *************************************
C
C CALCULATE IBIT, THE NUMBER OF BITS NEEDED TO HOLD THE GROUP
C MINIMUM VALUES.
C
C *************************************
C
209 IBIT=0
C
DO 220 L=1,LX
210 IF(JMIN(L).LT.IBXX2(IBIT))GO TO 220
IBIT=IBIT+1
GO TO 210
220 CONTINUE
C
C INSERT THE VALUE IN JMIN( ) TO BE USED FOR ALL MISSING
C VALUES WHEN LBIT( ) = 0. WHEN SECONDARY MISSING
C VALUES CAN BE PRESENT, LBIT(L) WILL NOT = 0.
C
IF(IS523.EQ.1)THEN
C
DO 226 L=1,LX
C
IF(LBIT(L).EQ.0)THEN
C
IF(MISSLX(L).EQ.MISSP)THEN
JMIN(L)=IBXX2(IBIT)-1
ENDIF
C
ENDIF
C
226 CONTINUE
C
ENDIF
C
C *************************************
C
C CALCULATE JBIT, THE NUMBER OF BITS NEEDED TO HOLD THE BITS
C NEEDED TO PACK THE VALUES IN THE GROUPS. BUT FIND AND
C REMOVE THE REFERENCE VALUE FIRST.
C
C *************************************
C
C WRITE(KFILDO,228)CFEED,LX
C228 FORMAT(A1,/' *****************************************'
C 1 /' THE GROUP WIDTHS LBIT( ) FOR ',I8,' GROUPS'
C 2 /' *****************************************')
C WRITE(KFILDO,229) (LBIT(J),J=1,MIN(LX,100))
C229 FORMAT(/' '20I6)
C
LBITREF=LBIT(1)
C
DO 230 K=1,LX
IF(LBIT(K).LT.LBITREF)LBITREF=LBIT(K)
230 CONTINUE
C
IF(LBITREF.NE.0)THEN
C
DO 240 K=1,LX
LBIT(K)=LBIT(K)-LBITREF
240 CONTINUE
C
ENDIF
C
C WRITE(KFILDO,241)CFEED,LBITREF
C241 FORMAT(A1,/' *****************************************'
C 1 /' THE GROUP WIDTHS LBIT( ) AFTER REMOVING REFERENCE ',
C 2 I8,
C 3 /' *****************************************')
C WRITE(KFILDO,242) (LBIT(J),J=1,MIN(LX,100))
C242 FORMAT(/' '20I6)
C
JBIT=0
C
DO 320 K=1,LX
310 IF(LBIT(K).LT.IBXX2(JBIT))GO TO 320
JBIT=JBIT+1
GO TO 310
320 CONTINUE
C
C *************************************
C
C CALCULATE KBIT, THE NUMBER OF BITS NEEDED TO HOLD THE NUMBER
C OF VALUES IN THE GROUPS. BUT FIND AND REMOVE THE
C REFERENCE FIRST.
C
C *************************************
C
C WRITE(KFILDO,321)CFEED,LX
C321 FORMAT(A1,/' *****************************************'
C 1 /' THE GROUP SIZES NOV( ) FOR ',I8,' GROUPS'
C 2 /' *****************************************')
C WRITE(KFILDO,322) (NOV(J),J=1,MIN(LX,100))
C322 FORMAT(/' '20I6)
C
NOVREF=NOV(1)
C
DO 400 K=1,LX
IF(NOV(K).LT.NOVREF)NOVREF=NOV(K)
400 CONTINUE
C
IF(NOVREF.GT.0)THEN
C
DO 405 K=1,LX
NOV(K)=NOV(K)-NOVREF
405 CONTINUE
C
ENDIF
C
C WRITE(KFILDO,406)CFEED,NOVREF
C406 FORMAT(A1,/' *****************************************'
C 1 /' THE GROUP SIZES NOV( ) AFTER REMOVING REFERENCE ',I8,
C 2 /' *****************************************')
C WRITE(KFILDO,407) (NOV(J),J=1,MIN(LX,100))
C407 FORMAT(/' '20I6)
C WRITE(KFILDO,408)CFEED
C408 FORMAT(A1,/' *****************************************'
C 1 /' THE GROUP REFERENCES JMIN( )'
C 2 /' *****************************************')
C WRITE(KFILDO,409) (JMIN(J),J=1,MIN(LX,100))
C409 FORMAT(/' '20I6)
C
KBIT=0
C
DO 420 K=1,LX
410 IF(NOV(K).LT.IBXX2(KBIT))GO TO 420
KBIT=KBIT+1
GO TO 410
420 CONTINUE
C
C DETERMINE WHETHER THE GROUP SIZES SHOULD BE REDUCED
C FOR SPACE EFFICIENCY.
C
IF(IRED.EQ.0)THEN
CALL REDUCE(JMIN,JMAX,LBIT,NOV,LX,NDG,IBIT,JBIT,KBIT,
1 NOVREF,IBXX2,IER)
C
IF(IER.EQ.714.OR.IER.EQ.715)THEN
C REDUCE HAS ABORTED. REEXECUTE PACK_GP WITHOUT REDUCE.
C PROVIDE FOR A NON FATAL RETURN FROM REDUCE.
IERSAV=IER
IRED=1
IER=0