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decorana.f
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C CORNELL ECOLOGY PROGRAM DECORANA - WRITTEN BY M.O. HILL, JULY 1979
C SOURCE CODE AND ACCOMPANYING DOCUMENTATION ARE AVAILABLE FROM
C HUGH G. GAUCH, JR., ECOLOGY AND SYSTEMATICS, CORNELL UNIVERSITY,
C ITHACA, NEW YORK 14850.
C
C PERFORMS DETRENDED CORRESPONDENCE ANALYSIS; ALSO WILL DO RECIPROCAL
C AVERAGING AS A SPECIAL CASE.
C
C DIMENSIONED FOR 1000 SAMPLES, 500 SPECIES, 20000 NON-ZERO ITEMS IN
C DATA MATRIX.
C
C INPUT DEVICES ARE 3 (INPUT PARAMETERS), 5 (DATA MATRIX)
C OUTPUT DEVICES ARE 4 (CONSOLE MONITORING), 7 (COPY OF SOLUTION
C IN MACHINE-READABLE FORM), AND LINEPRINTER USING FORTRAN
C WORD PRINT.
C
C MODIFIED FOR VAX VMS SYSTEMS BY DR P.R. MINCHIN FEB 1988
C
C DIMENSIONS INCREASED TO 2000 SAMPLES, 5000 SPECIES AND 130000
C NON-ZERO ITEMS IN THE DATA MATRIX.
C
C LOGICAL UNITS ARE STORED IN VARIABLES IN COMMON BLOCK LUNITS
C AND USED AS FOLLOWS:
C OLD NEW VARIABLE
C INPUT OPTIONS FILE 3 5 IUINP1
C OUTPUT PROMPTS 4 6 IUOUT1
C INPUT DATA MATRIX 5 1 IUINP2
C OUTPUT LINEPRINTER 6 3 IUOUT2
C OUTPUT CONFIGURATIONS 7 2 IUOUT3
C
C FORMAT OF CONFIGURATION (WRITTEN TO UNIT 2) CHANGED TO (8F10.4)
C AND OTHER ANNOTATION ETC REMOVED.
C FIRST 4 COLS ARE SAMPLE SCORES AND LAST 4 ARE SPECIES SCORES.
C SCORES ARE DIVIDED BY 1000 COMPARED WITH PRINTED OUTPUT.
C
C MODIFIED 6 MAY 1992 BY DR P.R. MINCHIN FOR SUN UNIX SYSTEMS:
C SUN FORTRAN SPECIFIC CODE ADDED TO GET NAMES FOR THE FILES ON UNITS
C IUINP2 (DATA MATRIX), IUOUT2 (PRINTED OUTPUT) AND IUOUT3 (SAMPLE
C AND SPECIES SCORES) FROM THE COMMAND LINE, THEN OPEN THEM
C EXPLICITLY. DEFAULT NAMES FOR THE PRINTOUT AND CONFIGURATION FILES
C ARE decorana.printout AND decorana.scores RESPECTIVELY.
C
C **** Further modified by Dr Peter R. Minchin May-June 1997
C - changed tolerance to 0.000005 and iteration limit to 999 in
C EIGY - strict settings of Oksanen & Minchin 1997
C - corrected the order-dependent bug in SMOOTH
C - added PARAMETER statements for maximum dimensions
C - changed max. dimensions to 5000, 5000, 330000
C - updated handling of file names retrieved from command line
C - moved character data to CHARACTER variables
C - now accepts relaxed CCF format, with maximum number of pairs
C per record on line 3
C See: Oksanen, J. & Minchin, P.R. 1997. Instability of ordination
C results under changes in input data order: explanations and
C remedies. Journal of Vegetation Science 8: 447-454.
C
C---Parameter statements added by P.Minchin May 1997
C---and constants replaced by parameters in array declarations
PARAMETER (MAXSAM=5000, MAXSPP=5000, MAXDAT=330000)
C PARAMETER (MAXSAM=2000, MAXSPP=5000, MAXDAT=130000)
REAL XEIG1(MAXSAM),XEIG2(MAXSAM),XEIG3(MAXSAM),XEIG4(MAXSAM),
. AIDOT(MAXSAM)
C---Changed INAME to CHARACTER: P.Minchin June 1997
INTEGER IBEGIN(MAXSAM),IEND(MAXSAM)
CHARACTER*4 INAME1(MAXSAM),INAME2(MAXSAM)
INTEGER IX1(MAXSAM),IX2(MAXSAM),IX3(MAXSAM),IX4(MAXSAM)
INTEGER IXX1(MAXSAM),IXX2(MAXSAM),IXX3(MAXSAM),IXX4(MAXSAM)
INTEGER INFLAG(MAXSAM)
REAL Y2(MAXSPP),Y3(MAXSPP),Y4(MAXSPP),Y5(MAXSPP),V(MAXSPP)
REAL YEIG1(MAXSPP),YEIG2(MAXSPP),YEIG3(MAXSPP),YEIG4(MAXSPP),
. ADOTJ(MAXSPP)
C---Changed JNAME to CHARACTER: P.Minchin June 1997
INTEGER JNFLAG(MAXSPP)
CHARACTER*4 JNAME1(MAXSPP),JNAME2(MAXSPP)
INTEGER IY1(MAXSPP),IY2(MAXSPP),IY3(MAXSPP),IY4(MAXSPP)
INTEGER IYY1(MAXSPP),IYY2(MAXSPP),IYY3(MAXSPP),IYY4(MAXSPP)
REAL QIDAT(MAXDAT)
INTEGER IDAT(MAXDAT)
C---Changed TITLE to CHARACTER
REAL BEFORE(50),AFTER(50)
CHARACTER TITLE(20)*4
C---REAL ARRAY SCORES(8) ADDED BY P.MINCHIN FEB 1988 (FOR CONFIG OUTPUT)
REAL SCORES(8)
C---CHARACTER VARIABLES FOR FILE NAMES ADDED BY P.MINCHIN MAY 1992
CHARACTER DATFIL*80, PRTFIL*80, OUTFIL*80
C---CHARACTER VARIABLE FOR COMMAND LINE ADDED P.Minchin June 1997
CHARACTER CMLINE*256
COMMON IDAT,QIDAT
C---COMMON BLOCK ADDED BY P.MINCHIN FEB 1988
COMMON /LUNITS/ IUINP1,IUINP2,IUOUT1,IUOUT2,IUOUT3
C---Common block added by P.Minchin May 1997
COMMON /MAXDIM/ MMAX, NMAX, IDMAX
EQUIVALENCE (IXX1(1),XEIG1(1)),(IXX2(1),XEIG2(1))
EQUIVALENCE (IXX3(1),XEIG3(1)),(IXX4(1),XEIG4(1))
EQUIVALENCE (IYY1(1),YEIG1(1)),(IYY2(1),YEIG2(1))
EQUIVALENCE (IYY3(1),YEIG3(1)),(IYY4(1),YEIG4(1))
EQUIVALENCE (IX4(1),IBEGIN(1))
EQUIVALENCE (IY4(1),V(1)),(JNFLAG(1),IDAT(1))
C---DIMENSIONS INCREASED BY P.MINCHIN FEB 1988
C---Max dimension variables equated to parameters: P.Minchin May 1997
C MMAX=2000
C NMAX=5000
C IDMAX=130000
MMAX=MAXSAM
NMAX=MAXSPP
IDMAX=MAXDAT
C---OPEN STATEMENTS COMMENTED OUT P.MINCHIN FEB 1988
C OPEN(UNIT=3,DEVICE='TTY',ACCESS='SEQIN')
C OPEN(UNIT=5,DEVICE='DSK',ACCESS='SEQIN',DIALOG)
C OPEN(UNIT=4,DEVICE='TTY',ACCESS='SEQOUT')
C OPEN(UNIT=7,DEVICE='DSK',ACCESS='SEQOUT',DIALOG)
C---ASSIGN LOGICAL UNIT NUMBERS
IUINP1=5
IUINP2=1
IUOUT1=6
IUOUT2=3
IUOUT3=2
C
C---New program banner added P.Minchin June 1997
C
WRITE (IUOUT1,3010)
3010 FORMAT (/1X,'*** DECORANA: DCA and RA Ordination Program ***'//
. 1X,'Written by Dr Mark O. Hill July 1979'/
. 1X,'Modified by Dr Peter R. Minchin Feb 1988 - June 1997'//
. 1X,'This version uses strict convergence criteria and ',
. 'corrects the'/
. 1X,'bug in SMOOTH - see: Oksanen & Minchin (1997) J. Veg. ',
. 'Sci. 8: 447-454.'/)
C
C SPECIAL FILE HANDLING FOR Lahey FORTRAN 90 P.Minchin June 1997
C
C---Note: GETCL is a Lahey FORTRAN 90 intrinsic that returns the
C---contents of the command line. IARGC and GETARG are my own
C---implementations of similar routines that are available in some
C---Unix FORTRAN compilers (e.g. Sun FORTRAN77)
C
C CALL GETCL (CMLINE)
C NARGS=IARGC(CMLINE)
NARGS=IARGC()
IF (NARGS.EQ.0) THEN
WRITE (IUOUT1,3000)
3000 FORMAT (/1X,'ENTER THE NAME OF THE INPUT DATA FILE'/)
READ (IUINP1,3001) DATFIL
3001 FORMAT (A80)
ELSE
C CALL GETARG (1,CMLINE,DATFIL)
CALL GETARG (1,CMLINE)
ENDIF
OPEN (UNIT=IUINP2,FILE=DATFIL,STATUS='OLD')
IF (NARGS.LT.3) THEN
PRTFIL='decorana.prt'
OPEN (UNIT=IUOUT2,FILE=PRTFIL,STATUS='UNKNOWN')
ELSE
C CALL GETARG (3,CMLINE,PRTFIL)
CALL GETARG (3,CMLINE)
OPEN (UNIT=IUOUT2,FILE=PRTFIL,STATUS='NEW')
ENDIF
WRITE (IUOUT2,3010)
C
5 IT=1
AXX=0.0
WRITE(IUOUT1,2001)
WRITE(IUOUT2,2001)
2001 FORMAT(1X,'ENTER TRANSFORMATION IN FREE FORMAT')
WRITE(IUOUT1,2002)
WRITE(IUOUT2,2002)
2002 FORMAT(1X,'A NEGATIVE ENTRY TERMINATES TRANSFORMATION DATA',
1/1X,'IF NO TRANSFORMATION DESIRED, MERELY TYPE -1 0'/)
10 READ(IUINP1,*) AX,TRANSX
WRITE(IUOUT1,2003) AX,TRANSX
WRITE(IUOUT2,2003) AX,TRANSX
2003 FORMAT(1X,2F8.2)
IF(AX.LT.0.0) GOTO 20
IF (TRANSX.LT.0.0) GOTO 20
IF (AX.LT.AXX) GOTO 5
IT=IT+1
BEFORE(IT)=AX
AFTER(IT)=TRANSX
AXX=AX
IF(IT.LT.46) GOTO 10
WRITE(IUOUT1,2004)
WRITE(IUOUT2,2004)
2004 FORMAT(1X,'THIS IS ENOUGH - CALCULATION PROCEEDS')
20 IF(IT.NE.1) GOTO 23
BEFORE(2)=0.0
AFTER(2)=0.0
BEFORE(3)=1.0E10
AFTER(3)=1.0E10
IT=3
WRITE(IUOUT2,2005)
WRITE(IUOUT1,2005)
2005 FORMAT(1X,'NO TRANSFORMATION OF DATA WILL BE MADE')
23 CONTINUE
IT=IT+1
BEFORE(1) = 0.0
AFTER(1)= AFTER(2)
BEFORE(IT)=1.0E10
AFTER(IT)=AFTER(IT-1)
WRITE(IUOUT2,2010)
WRITE(IUOUT1,2010)
2010 FORMAT(1X,'IS DOWNWEIGHTING OF RARE SPECIES REQUIRED?'/
11X,'TYPE 1 IF YES, TYPE 0 IF NO'/)
READ(IUINP1,*) IWEIGH
WRITE(IUOUT2,2011) IWEIGH
WRITE(IUOUT1,2011) IWEIGH
2011 FORMAT(1X,'ANSWER = ',I2)
WRITE(IUOUT2,2020)
WRITE(IUOUT1,2020)
2020 FORMAT(1X,'IS RESCALING OF AXES REQUIRED?'/
11X,'TYPE 0 (DEFAULT), -1 (NO RESCALING), OR NUMBER OF',
2' TIMES TO BE DONE'/)
READ(IUINP1,*) IRESC
WRITE(IUOUT2,2011) IRESC
WRITE(IUOUT1,2011) IRESC
IF(IRESC.EQ.0) IRESC=4
IF(IRESC.GT.20) IRESC=20
IF(IRESC.LT.0) IRESC=0
WRITE(IUOUT2,2030)
WRITE(IUOUT1,2030)
2030 FORMAT(1X,'TYPE 0 IF DETRENDED CORRESPONDENCE ANALYSIS',
1' REQUIRED'/1X,'TYPE 1 IF BASIC RECIPROCAL AVERAGING'/)
READ(IUINP1,*) IRA
WRITE(IUOUT2,2011) IRA
WRITE(IUOUT1,2011) IRA
IF(IRA.NE.1) IRA=0
IF(IRA.EQ.1) IRESC=0
WRITE(IUOUT2,2035)
WRITE(IUOUT1,2035)
2035 FORMAT(1X,'SPECIFY NUMBER OF SEGMENTS - OR TYPE 0 FOR DEFAULT',
1' VALUE'/)
READ(IUINP1,*) MK
WRITE(IUOUT2,2011) MK
WRITE(IUOUT1,2011) MK
IF(MK.EQ.0) MK=26
MK=MK+4
IF(MK.LT.14) MK=14
IF(MK.GT.50) MK=50
WRITE(IUOUT2,2037)
WRITE(IUOUT1,2037)
2037 FORMAT(1X,'SPECIFY RESCALING THRESHOLD - OR TYPE 0 FOR DEFAULT'/)
READ(IUINP1,*) SHORT
WRITE(IUOUT2,2003) SHORT
WRITE(IUOUT1,2003) SHORT
C---Added logical unit: P.Minchin June 1997
WRITE(IUOUT2,2040) IUOUT3
WRITE(IUOUT1,2040) IUOUT3
2040 FORMAT(1X,'SHOULD A COPY OF SOLUTION BE WRITTEN TO DEVICE ',
1'NUMBER ',I2,'?'/1X,'TYPE 1 IF YES, TYPE 0 IF NO'/)
READ(IUINP1,*) IPUNCH
WRITE(IUOUT2,2011) IPUNCH
WRITE(IUOUT1,2011) IPUNCH
C
C SPECIAL FILE HANDLING FOR Lahey FORTRAN 90 P.Minchin June 1997
C
IF (IPUNCH.NE.0) THEN
IF (NARGS.LT.2) THEN
OUTFIL='decorana.out'
OPEN (UNIT=IUOUT3,FILE=OUTFIL,STATUS='UNKNOWN')
ELSE
C CALL GETARG (2,CMLINE,OUTFIL)
CALL GETARG (2,CMLINE)
OPEN (UNIT=IUOUT3,FILE=OUTFIL,STATUS='NEW')
ENDIF
ENDIF
C
CALL QUIKIN(MMAX,NMAX,IDMAX,MI,N,INAME1,INAME2,JNAME1,JNAME2,
1IDAT,QIDAT,IBEGIN,IEND,NID,TITLE,INFLAG)
C THIS COMPLETES THE READING IN OF THE DATA
DO 30 ID=1,NID
AIJ=QIDAT(ID)
IT=0
25 IT=IT+1
IF(BEFORE(IT).LE.AIJ) GOTO 25
BTOP=BEFORE(IT)
BBOT=BEFORE(IT-1)
ATOP=AFTER(IT)
ABOT=AFTER(IT-1)
AIJ=ABOT+(AIJ-BBOT)*(ATOP-ABOT)/(BTOP-BBOT)
IF(AIJ.LT.1.0E-10) AIJ=1.0E-10
QIDAT(ID)=AIJ
30 CONTINUE
DO 60 J=1,N
YEIG1(J)=0.0
60 Y2(J)=1.0E-10
DO 70 I=1,MI
ID1=IBEGIN(I)
ID2=IEND(I)
DO 65 ID=ID1,ID2
J=IDAT(ID)
AIJ=QIDAT(ID)
YEIG1(J)=YEIG1(J)+AIJ
65 Y2(J)=Y2(J)+AIJ*AIJ
70 CONTINUE
DO 80 J=1,N
80 Y2(J)=YEIG1(J)**2/Y2(J)
CALL XMAXMI(Y2,AMAX,AMIN,N)
AMAX=AMAX/5.0
DO 90 J=1,N
V(J)=1.0
IF(IWEIGH.EQ.1.AND.Y2(J).LT.AMAX) V(J)=Y2(J)/AMAX
90 CONTINUE
C IF THERE IS REWEIGHTING TO BE DONE THIS IS NOW ACCOMPLISHED BY
C MULTIPLYING BY V(J)
DO 100 I=1,MI
ID1=IBEGIN(I)
ID2=IEND(I)
DO 95 ID=ID1,ID2
J=IDAT(ID)
95 QIDAT(ID)=QIDAT(ID)*V(J)
100 CONTINUE
IF(IWEIGH.EQ.0) GOTO 110
WRITE(IUOUT2,2012)
WRITE(IUOUT2,2013) (V(J),J=1,N)
2012 FORMAT(///1X,'WEIGHTS APPLIED')
2013 FORMAT(1X,20F6.3)
110 IF(IWEIGH.EQ.0) WRITE(IUOUT2,2014)
2014 FORMAT(///1X,'NO DOWNWEIGHTING')
IF(IRESC.EQ.0) WRITE(IUOUT2,2015)
2015 FORMAT(/1X,'NO RESCALING'/)
IF(IRESC.NE.0) WRITE(IUOUT2,2016)
2016 FORMAT(/1X,'AXES ARE RESCALED'/)
IF(IRA.EQ.1) WRITE(IUOUT2,2119)
2119 FORMAT(1X,'RECIPROCAL AVERAGING'/)
DO 170 I=1,MI
170 XEIG1(I)=1.0
CALL XYMULT(XEIG1,ADOTJ,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
TOT=0.0
DO 180 J=1,N
IF(ADOTJ(J).LT.1.0E-11) ADOTJ(J)=1.0E-11
TOT=TOT+ADOTJ(J)
180 CONTINUE
DO 190 J=1,N
190 YEIG1(J)=1.0
CALL YXMULT(YEIG1,AIDOT,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
C PRELIMINARIES ARE NOW OVER. EIGENVECTORS ARE CALCULATED.
CALL EIGY(XEIG1,YEIG1,EIG1,0,IRA,IRESC,SHORT,
1MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT,Y2,Y3,Y4,Y5,
2XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,AIDOT,ADOTJ)
IF(IRA.EQ.0) CALL CUTUP(XEIG1,IX1,MI,MK)
CALL EIGY(XEIG2,YEIG2,EIG2,1,IRA,IRESC,SHORT,
1MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT,Y2,Y3,Y4,Y5,
2XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,AIDOT,ADOTJ)
IF(IRA.EQ.0) CALL CUTUP(XEIG2,IX2,MI,MK)
CALL EIGY(XEIG3,YEIG3,EIG3,2,IRA,IRESC,SHORT,
1MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT,Y2,Y3,Y4,Y5,
2XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,AIDOT,ADOTJ)
IF(IRA.EQ.0) CALL CUTUP(XEIG3,IX3,MI,MK)
CALL EIGY(XEIG4,YEIG4,EIG4,3,IRA,IRESC,SHORT,
1MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT,Y2,Y3,Y4,Y5,
2XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,AIDOT,ADOTJ)
WRITE(IUOUT2,2100)
CALL YXMULT(YEIG1,XEIG1,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
CALL YXMULT(YEIG2,XEIG2,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
CALL YXMULT(YEIG3,XEIG3,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
CALL YXMULT(YEIG4,XEIG4,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
DO 300 I=1,MI
IX1(I)=IFIX(XEIG1(I)*100.0/AIDOT(I))
IX2(I)=IFIX(XEIG2(I)*100.0/AIDOT(I))
IX3(I)=IFIX(XEIG3(I)*100.0/AIDOT(I))
IX4(I)=IFIX(XEIG4(I)*100.0/AIDOT(I))
300 CONTINUE
DO 310 J=1,N
IY1(J)=IFIX(100.0*YEIG1(J))
IY2(J)=IFIX(100.0*YEIG2(J))
IY3(J)=IFIX(100.0*YEIG3(J))
IY4(J)=IFIX(100.0*YEIG4(J))
310 CONTINUE
C---FOLLOWING SECTION (TO STATEMENT 330) ADDED BY P.MINCHIN FEB 1988
IF (IPUNCH.EQ.0) GO TO 350
NMIN=MIN0(N,MI)
NMAX=MAX0(N,MI)
DO 330 I=1,NMAX
IF (I.GT.MI) GO TO 315
SCORES(1)=XEIG1(I)/AIDOT(I)
SCORES(2)=XEIG2(I)/AIDOT(I)
SCORES(3)=XEIG3(I)/AIDOT(I)
SCORES(4)=XEIG4(I)/AIDOT(I)
315 IF (I.GT.N) GO TO 320
SCORES(5)=YEIG1(I)
SCORES(6)=YEIG2(I)
SCORES(7)=YEIG3(I)
SCORES(8)=YEIG4(I)
320 IF (I.LE.NMIN) WRITE (IUOUT3,1000) (SCORES(J),J=1,8)
1000 FORMAT (8F10.4)
IF (I.GT.MI) WRITE (IUOUT3,1001) (SCORES(J),J=5,8)
1001 FORMAT (40X,4F10.4)
IF (I.GT.N) WRITE (IUOUT3,1000) (SCORES(J),J=1,4)
330 CONTINUE
C VECTORS IX*,IY* NOW CONTAIN THE SCORES. REMAINDER OF PROGRAM
C PUTS THESE OUT IN APPROPRIATE FORM.
2100 FORMAT('1')
C---STATEMENT LABEL 350 ADDED BY P.MINCHIN FEB 1988
350 WRITE(IUOUT2,2200) (TITLE(IT),IT=1,19)
MK=MK-4
WRITE(IUOUT2,2201) IWEIGH,IRESC,IRA,MK,SHORT
2200 FORMAT(1X,19A4)
2201 FORMAT(1X,'DECORANA OPTIONS -- DOWNWEIGHTING',I2,' RESCALING',
1I3,' ANALYSIS',I2,' SEGMENTS',I3,' THRESHOLD',F6.2)
2203 FORMAT(1X,'DECORANA OPTIONS -- ',4I4,F6.2)
IT=0
270 IT=IT+1
IF(BEFORE(IT).LT.9.9E9) GOTO 270
ITEND=IT-1
WRITE(IUOUT2, 2300) (BEFORE(IT),AFTER(IT),IT=2,ITEND)
2300 FORMAT((1X,'TRANSFORMATION',5(6X,F8.2,F8.2)))
C---COMMENTED OUT BY P.MINCHIN FEB 1988
C IF(IPUNCH.EQ.0) GOTO 400
C WRITE(IUOUT3,2200) (TITLE(IT),IT=1,19)
C WRITE(IUOUT3,2203) IWEIGH,IRESC,IRA,MK,SHORT
C WRITE(IUOUT3,2301) (BEFORE(IT),AFTER(IT),IT=2,ITEND)
C 2301 FORMAT(1X,'TRANSFORMATION',10F6.2)
C WRITE(IUOUT3,2101)
C 400 CONTINUE
WRITE(IUOUT2,2101)
2101 FORMAT(/1X,'SPECIES SCORES'/1X)
JJ=0
DO 450 J=1,N
IF(ADOTJ(J).EQ.1.0E-11) GOTO 450
JJ=JJ+1
JNAME1(JJ)=JNAME1(J)
JNAME2(JJ)=JNAME2(J)
IY1(JJ)=IY1(J)
IY2(JJ)=IY2(J)
IY3(JJ)=IY3(J)
IY4(JJ)=IY4(J)
JNFLAG(JJ)=J
450 CONTINUE
N=JJ
CALL EIGOUT(0,N,IY1,IYY1,IY2,IYY2,IY3,IYY3,
1IY4,IYY4,JNAME1,JNAME2,JNFLAG,IPUNCH,EIG1,EIG2,EIG3,EIG4)
WRITE(IUOUT2,2100)
WRITE(IUOUT2,2200) (TITLE(IT),IT=1,19)
WRITE(IUOUT2,2201) IWEIGH,IRESC,IRA,MK,SHORT
WRITE(IUOUT2,2300) (BEFORE(IT),AFTER(IT),IT=2,ITEND)
C---COMMENTED OUT BY P.MINCHIN FEB 1988
C IF(IPUNCH.EQ.0) GOTO 500
C WRITE(IUOUT3,2220)
C 2220 FORMAT(///1X)
C WRITE(IUOUT3,2200) (TITLE(IT),IT=1,19)
C WRITE(IUOUT3,2203) IWEIGH,IRESC,IRA,MK,SHORT
C WRITE(IUOUT3,2301) (BEFORE(IT),AFTER(IT),IT=2,ITEND)
C WRITE(IUOUT3,2102)
C 500 CONTINUE
WRITE(IUOUT2,2102)
2102 FORMAT(/1X,'SAMPLE SCORES - WHICH ARE WEIGHTED MEAN SPECIES ',
1'SCORES'/1X)
CALL EIGOUT(1,MI,IX1,IXX1,IX2,IXX2,IX3,IXX3,
1IX4,IXX4,INAME1,INAME2,INFLAG,IPUNCH,EIG1,EIG2,EIG3,EIG4)
WRITE(IUOUT2,2100)
CALL DIAGR(1,2,IX1,IX2,IXX1,IXX2,IXX3,MI,
1IY1,IY2,IYY1,IYY2,IYY3,N)
WRITE(IUOUT2,2150)
2150 FORMAT(//1X)
CALL DIAGR(1,3,IX1,IX3,IXX1,IXX2,IXX3,MI,
1IY1,IY3,IYY1,IYY2,IYY3,N)
WRITE(IUOUT2,2100)
CALL DIAGR(1,4,IX1,IX4,IXX1,IXX2,IXX3,MI,
1IY1,IY4,IYY1,IYY2,IYY3,N)
WRITE(IUOUT2,2150)
CALL DIAGR(2,3,IX2,IX3,IXX1,IXX2,IXX3,MI,
1IY2,IY3,IYY1,IYY2,IYY3,N)
STOP
END
C---New Routines IARGC and GETARG added P.Minchin 1997 for getting
C---file names off the command line
C INTEGER FUNCTION IARGC (CMLINE)
C
C Returns the number of tokens on the command line
C
C CHARACTER*256 CMLINE
C LOGICAL GOTONE
C GOTONE=.FALSE.
C N=0
C DO 100 I=1,256
C IF (CMLINE(I:I).NE.' ') THEN
C IF (.NOT.GOTONE) THEN
C GOTONE=.TRUE.
C N=N+1
C ENDIF
C ELSE
C IF (GOTONE) THEN
C GOTONE=.FALSE.
C ENDIF
C ENDIF
C 100 CONTINUE
C IARGC=N
C RETURN
C END
C SUBROUTINE GETARG (N,CMLINE,ARG)
C
C Return the Nth token in CMLINE as ARG
C
C CHARACTER CMLINE*256, ARG*80
C LOGICAL GOTONE
C GOTONE=.FALSE.
C J=0
C DO 100 I=1,256
C IF (CMLINE(I:I).NE.' ') THEN
C IF (.NOT.GOTONE) THEN
C GOTONE=.TRUE.
C J=J+1
C IF (J.EQ.N) THEN
C L=0
C DO 50 K=I,256
C IF (CMLINE(K:K).EQ.' ') RETURN
C L=L+1
C IF (L.GT.80) RETURN
C ARG(L:L)=CMLINE(K:K)
C 50 CONTINUE
C RETURN
C ENDIF
C ENDIF
C ELSE
C IF (GOTONE) THEN
C GOTONE=.FALSE.
C ENDIF
C ENDIF
C 100 CONTINUE
C ARG(1:1)=' '
C RETURN
C END
C
SUBROUTINE CUTUP(X,IX,MI,MK)
C TAKES A VECTOR X AND CUTS UP INTO (MK-4) SEGMENTS, PUTTING A
C SEGMENTED VERSION OF THE VECTOR IN IX.
REAL X(MI)
INTEGER IX(MI)
MMK=MK-4
MAXK=MK-2
CALL XMAXMI(X,AXMAX,AXMIN,MI)
AXBIT=(AXMAX-AXMIN)/FLOAT(MMK)
DO 10 I=1,MI
IAX=IFIX((X(I)-AXMIN)/AXBIT)+3
IF(IAX.LT.3) IAX=3
IF(IAX.GT.MAXK) IAX=MAXK
10 IX(I)=IAX
RETURN
END
C
SUBROUTINE TRANS(Y,YY,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
C THIS SUBROUTINE IS THE CRUX OF THE WHOLE PROGRAM, IN THAT IT
C TAKES A SET OF SPECIES SCORES Y AND ITERATES TO FIND A NEW SET
C OF SCORES YY. REPEATED ITERATION OF THIS SUBROUTINE WOULD LEAD
C EVENTUALLY TO THE CORRECT SOLUTION (EXCEPT THAT THE SCORES NEED
C TO BE DIVIDED BY THE Y-TOTALS ADOTJ AT EACH ITERATION). THE
C CALLING PROGRAM EIGY IS MADE LENGTHY BY SOME FANCY ALGEBRA PUT
C THERE TO SPEED UP THE CALCULATION. ESSENTIALLY TRANS IS THE
C STANDARD RECIPROCAL AVERAGING ITERATION WITH EITHER DETRENDING
C WITH RESPECT TO PREVIOUSLY DERIVED AXES (IN THE CASE OF DETRENDED
C CORRESPONDENCE ANALYSIS) OR ORTHOGONALIZATION WITH RESPECT TO
C THEM (IN THE CASE OF RECIPROCAL AVERAGING).
REAL X(MI),XEIG1(MI),XEIG2(MI),XEIG3(MI)
REAL Y(N),YY(N),AIDOT(MI),QIDAT(NID)
INTEGER IX1(MI),IX2(MI),IX3(MI),IDAT(NID),IBEGIN(MI),IEND(MI)
CALL YXMULT(Y,X,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
DO 10 I=1,MI
10 X(I)=X(I)/AIDOT(I)
IF(NEIG.EQ.0) GOTO 200
IF(IRA.EQ.1) GOTO 100
CALL DETRND(X,AIDOT,IX1,MI,MK)
IF(NEIG.EQ.1) GOTO 200
CALL DETRND(X,AIDOT,IX2,MI,MK)
IF(NEIG.EQ.2) GOTO 90
CALL DETRND(X,AIDOT,IX3,MI,MK)
CALL DETRND(X,AIDOT,IX2,MI,MK)
90 CALL DETRND(X,AIDOT,IX1,MI,MK)
GOTO 200
100 A1=0.0
DO 110 I=1,MI
110 A1=A1+AIDOT(I)*X(I)*XEIG1(I)
DO 120 I=1,MI
120 X(I)=X(I)-A1*XEIG1(I)
IF(NEIG.EQ.1) GOTO 200
A2=0.0
DO 130 I=1,MI
130 A2=A2+AIDOT(I)*X(I)*XEIG2(I)
DO 140 I=1,MI
140 X(I)=X(I)-A2*XEIG2(I)
IF(NEIG.EQ.2) GOTO 200
A3=0.0
DO 150 I=1,MI
150 A3=A3+AIDOT(I)*X(I)*XEIG3(I)
DO 160 I=1,MI
160 X(I)=X(I)-A3*XEIG3(I)
200 CALL XYMULT(X,YY,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
RETURN
END
C
SUBROUTINE DETRND(X,AIDOT,IX,MI,MK)
REAL X(MI),Z(50),ZN(50),ZBAR(50),AIDOT(MI)
INTEGER IX(MI)
C STARTS WITH A VECTOR X AND DETRENDS WITH RESPECT TO GROUPS DEFINED
C BY IX. DETRENDING IS IN BLOCKS OF 3 UNITS AT A TIME, AND THE
C RESULT CALCULATED IS THE AVERAGE OF THE 3 POSSIBLE RESULTS THAT
C CAN BE OBTAINED, CORRESPONDING TO 3 POSSIBLE STARTING POSITIONS
C FOR THE BLOCKS OF 3.
DO 10 K=1,MK
Z(K)=0.0
10 ZN(K)=0.0
DO 20 I=1,MI
K=IX(I)
Z(K)=Z(K)+X(I)*AIDOT(I)
20 ZN(K)=ZN(K)+AIDOT(I)
MMK=MK-1
DO 30 K=2,MMK
30 ZBAR(K)=(Z(K-1)+Z(K)+Z(K+1))/(ZN(K-1)+ZN(K)+ZN(K+1)+1.0E-12)
MMK=MMK-1
DO 35 K=3,MMK
35 Z(K)=(ZBAR(K-1)+ZBAR(K)+ZBAR(K+1))/3.0
DO 40 I=1,MI
K=IX(I)
40 X(I)=X(I)-Z(K)
RETURN
END
C
SUBROUTINE EIGY(X,Y,EIG,NEIG,IRA,IRESC,SHORT,
1MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT,Y2,Y3,Y4,Y5,
2XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,AIDOT,ADOTJ)
C EXTRACTS AN EIGENVECTOR Y WITH EIGENVALUE EIG. THE ALGEBRA
C IS A LITTLE COMPLICATED, BUT CONSISTS ESSENTIALLY OF REPRE-
C SENTING THE TRANSFORMATION (SUBROUTINE TRANS) APPROXIMATELY
C BY A TRIDIAGONAL 4X4 MATRIX. THE EIGENPROBLEM FOR THE
C TRIDIAGONAL MATRIX IS SOLVED AND THIS SOLUTION IS PLUGGED
C BACK IN TO OBTAIN A NEW TRIAL VECTOR.
C AFTER GETTING THE EIGENVECTOR, THE SCORES MAY BE RESCALED
C (SUBROUTINE STRTCH).
REAL X(MI),Y(N),Y2(N),Y3(N),Y4(N),Y5(N)
REAL XEIG1(MI),XEIG2(MI),XEIG3(MI),AIDOT(MI),ADOTJ(N)
REAL QIDAT(NID)
INTEGER IBEGIN(MI),IEND(MI),IDAT(NID),IX1(MI),IX2(MI),IX3(MI)
C---COMMON BLOCK ADDED BY P.MINCHIN FEB 1988
COMMON /LUNITS/ IUINP1,IUINP2,IUOUT1,IUOUT2,IUOUT3
TOT=0.0
DO 10 J=1,N
TOT=TOT+ADOTJ(J)
10 Y(J)=FLOAT(J)
Y(1)=1.1
C---Tolerance reduced by P.Minchin Jan 1997
C TOL=0.0001
TOL=0.000005
CALL TRANS(Y,Y,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
ICOUNT=0
20 A=0.0
DO 30 J=1,N
30 A=A+Y(J)*ADOTJ(J)
A=A/TOT
EX=0.0
DO 40 J=1,N
AY=Y(J)-A
EX=EX+AY*AY*ADOTJ(J)
40 Y(J)=AY
EX=SQRT(EX)
DO 50 J=1,N
50 Y(J)=Y(J)/EX
CALL TRANS(Y,Y2,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
A=0.0
A11=0.0
A12=0.0
A22=0.0
A23=0.0
A33=0.0
A34=0.0
A44=0.0
DO 60 J=1,N
AY=Y2(J)
Y2(J)=AY/ADOTJ(J)
A=A+AY
60 A11=A11+AY*Y(J)
A=A/TOT
DO 70 J=1,N
AY=Y2(J)-(A+A11*Y(J))
A12=A12+AY*AY*ADOTJ(J)
70 Y2(J)=AY
A12=SQRT(A12)
DO 80 J=1,N
80 Y2(J)=Y2(J)/A12
IF(ICOUNT.EQ.0) WRITE(IUOUT2,1000)
1000 FORMAT(/1X)
WRITE(IUOUT1,1011) A12,ICOUNT
WRITE(IUOUT2,1011) A12,ICOUNT
1011 FORMAT(1X,'RESIDUAL',F10.6,' AT ITERATION',I3)
IF(A12.LT.TOL) GOTO 200
C---Maximum iteration limit increased by P.Minchin Jan 1997
C IF(ICOUNT.GT.9) GOTO 200
IF(ICOUNT.GT.999) GOTO 200
ICOUNT=ICOUNT+1
CALL TRANS(Y2,Y3,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
A=0.0
B13=0.0
DO 90 J=1,N
AY=Y3(J)
Y3(J)=AY/ADOTJ(J)
A=A+AY
A22=A22+AY*Y2(J)
90 B13=B13+AY*Y(J)
A=A/TOT
DO 100 J=1,N
AY=Y3(J)-(A+A22*Y2(J)+B13*Y(J))
A23=A23+AY*AY*ADOTJ(J)
100 Y3(J)=AY
A23=SQRT(A23)
IF(A23.GT.TOL) GOTO 105
A23=0.0
GOTO 160
105 CONTINUE
DO 110 J=1,N
110 Y3(J)=Y3(J)/A23
CALL TRANS(Y3,Y4,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
A=0.0
B14=0.0
B24=0.0
DO 120 J=1,N
AY=Y4(J)
Y4(J)=Y4(J)/ADOTJ(J)
A=A+AY
A33=A33+AY*Y3(J)
B14=B14+AY*Y(J)
120 B24=B24+AY*Y2(J)
A=A/TOT
DO 130 J=1,N
AY=Y4(J)-(A+A33*Y3(J)+B14*Y(J)+B24*Y2(J))
A34=A34+AY*AY*ADOTJ(J)
130 Y4(J)=AY
A34=SQRT(A34)
IF(A34.GT.TOL) GOTO 135
A34=0.0
GOTO 160
135 CONTINUE
DO 140 J=1,N
140 Y4(J)=Y4(J)/A34
CALL TRANS(Y4,Y5,
1X,NEIG,IRA,AIDOT,XEIG1,XEIG2,XEIG3,IX1,IX2,IX3,
2MI,MK,N,NID,IBEGIN,IEND,IDAT,QIDAT)
DO 150 J=1,N
150 A44=A44+Y4(J)*Y5(J)
C WE NOW HAVE THE TRIDIAGONAL REPRESENTATION OF TRANS. SOLVE
C EIGENPROBLEM FOR TRIDIAGONAL MATRIX.
160 AX1=1.0
AX2=0.1
AX3=0.01
AX4=0.001
DO 170 ITIMES=1,100
AXX1=A11*AX1+A12*AX2
AXX2=A12*AX1+A22*AX2+A23*AX3
AXX3=A23*AX2+A33*AX3+A34*AX4
AXX4=A34*AX3+A44*AX4
AX1=A11*AXX1+A12*AXX2
AX2=A12*AXX1+A22*AXX2+A23*AXX3
AX3=A23*AXX2+A33*AXX3+A34*AXX4
AX4=A34*AXX3+A44*AXX4
EX=SQRT(AX1**2+AX2**2+AX3**2+AX4**2)
AX1=AX1/EX
AX2=AX2/EX
AX3=AX3/EX
AX4=AX4/EX
IF(ITIMES.NE.(ITIMES/5)*5) GOTO 170
EXX=SQRT(EX)
RESI=SQRT((AX1-AXX1/EXX)**2+(AX2-AXX2/EXX)**2+
1(AX3-AXX3/EXX)**2+(AX4-AXX4/EXX)**2)
IF(RESI.LT.TOL*0.05) GOTO 180
170 CONTINUE
180 CONTINUE
DO 190 J=1,N
190 Y(J)=AX1*Y(J)+AX2*Y2(J)+AX3*Y3(J)+AX4*Y4(J)
GOTO 20
200 WRITE(IUOUT2,1010) A11
WRITE(IUOUT1,1010) A11
1010 FORMAT(1X,'EIGENVALUE',F10.5)
IF(A12.GT.TOL) WRITE(IUOUT2,1012) TOL
IF(A12.GT.TOL) WRITE(IUOUT1,1012) TOL
1012 FORMAT(1X,'*** BEWARE *** RESIDUAL BIGGER THAN TOLERANCE',
1', WHICH IS',F10.6)
C WE CALCULATE X FROM Y, AND SET X TO UNIT LENGTH IF RECIPROCAL
C AVERAGING OPTION IS IN FORCE (IRA=1)
CALL XMAXMI(Y,AYMAX,AYMIN,N)
SIGN=1.0
IF(-AYMIN.GT.AYMAX) SIGN=-1.0
DO 210 J=1,N
210 Y(J)=Y(J)*SIGN
CALL YXMULT(Y,X,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
DO 220 I=1,MI
220 X(I)=X(I)/AIDOT(I)
IF(IRESC.EQ.0) GOTO 225
IF(A11.GT.0.999) GOTO 225
DO 223 I=1,IRESC
MONIT=0
IF(I.EQ.1.OR.I.EQ.IRESC) MONIT=1
CALL STRTCH(X,Y,SHORT,MONIT,
1MI,N,NID,AIDOT,IBEGIN,IEND,IDAT,QIDAT)
223 CONTINUE
EIG=A11
RETURN
225 AXLONG=0.0
DO 230 I=1,MI
230 AXLONG=AXLONG+AIDOT(I)*X(I)**2
AXLONG=SQRT(AXLONG)
DO 240 I=1,MI
240 X(I)=X(I)/AXLONG
DO 250 J=1,N
250 Y(J)=Y(J)/AXLONG
C IT REMAINS TO SCALE Y TO UNIT WITHIN-SAMPLE STANDARD DEVIATION
SUMSQ=0.0
DO 260 I=1,MI
ID1=IBEGIN(I)
ID2=IEND(I)
AX=X(I)
DO 255 ID=ID1,ID2
J=IDAT(ID)
255 SUMSQ=SUMSQ+QIDAT(ID)*(AX-Y(J))**2
260 CONTINUE
SD=SQRT(SUMSQ/TOT)
IF(A11.LE.0.999) GOTO 265
SD=AYMAX/AXLONG
SD1=-AYMIN/AXLONG
IF(SD1.GT.SD) SD=SD1
265 CONTINUE
DO 270 J=1,N
270 Y(J)=Y(J)/SD
EIG=A11
RETURN
END
C
SUBROUTINE QUIKIN(MMAX,NMAX,NDAT,MM,N,INAME1,
1INAME2,JNAME1,JNAME2,IDAT,QIDAT,IBEGIN,IEND,NID,TITLE,INFLAG)
C READS IN DATA MATRIX BY SAMPLES AND ROW AND COLUMN NAMES IN
C SPECIFIED FORMAT. THE SAMPLES MUST BE IN ASCENDING NUMERICAL
C ORDER. SECOND HALF OF SUBROUTINE CONSISTS OF AN OPTION TO DELETE
C UNWANTED SAMPLES FROM THE ANALYSIS.
C---Changed INAME & JNAME to CHARACTER variables: P.Minchin June 1997
INTEGER IDAT(NDAT)
CHARACTER*4 INAME1(MMAX),INAME2(MMAX),JNAME1(NMAX),
1JNAME2(NMAX)
INTEGER IBEGIN(MMAX),IEND(MMAX),INFLAG(MMAX)
REAL QIDAT(NDAT)
C---FMT & TITLE changed CHARACTER variables: P.Minchin May 1997
C REAL AITEM(100),FMT(15),TITLE(20)
REAL AITEM(100)
INTEGER ITEM(100)
CHARACTER FMT*60, TITLE(20)*4
C---COMMON BLOCK ADDED BY P.MINCHIN FEB 1988
COMMON /LUNITS/ IUINP1,IUINP2,IUOUT1,IUOUT2,IUOUT3
C---Logical unit number for input data file added: P.Minchin May 1997
WRITE(IUOUT2,1002) IUINP2
WRITE(IUOUT1,1002) IUINP2
C---Format modified for logical unit number: P.Minchin May 1997
1002 FORMAT(///1X,'READING DATA MATRIX FROM DEVICE ',I2)
READ(IUINP2,1000) (TITLE(IT),IT=1,20)
1000 FORMAT(20A4)
WRITE(IUOUT2,2000) (TITLE(IT),IT=1,20)
WRITE(IUOUT1,2001) (TITLE(IT),IT=1,20)
2000 FORMAT(//1X,20A4//)
2001 FORMAT(//1X,19A4,A3//)
C---FMT read as a CHARACTER*60 variable: P.Minchin May 1997
C READ(IUINP2,1001) (FMT(IT),IT=1,15),NITEM
C 1001 FORMAT(15A4,8X,I2)
READ(IUINP2,1001) FMT,NITEM
1001 FORMAT(A60,8X,I2)
C---Handling of "relaxed" CCF files: P.Minchin July 1997
IF (NITEM.LE.0) READ (IUINP2,*) NITEM
DO 10 II=1,MMAX
10 INFLAG(II)=0
ID=0
N=0
III=1
ITEM(NITEM+1)=0
40 READ(IUINP2,FMT) II,(ITEM(IT),AITEM(IT),IT=1,NITEM)
IF(II.EQ.III) GOTO 50
IEND(III)=ID
IF(II.EQ.0) GOTO 100
IBEGIN(II)=ID+1
IF(II.LT.III) GOTO 999
III=II
50 IT=0
55 IT=IT+1
J=ITEM(IT)
IF(J) 997,40,56
56 IF(J.GT.N) N=J
INFLAG(II)=1
ID=ID+1
IDAT(ID)=J
AIJ=AITEM(IT)
IF(AIJ.LT.0.0) GOTO 997
QIDAT(ID)=AIJ
IF(ID.GT.NDAT-3) GOTO 996
GOTO 55
100 MM=III
IF(MM.GT.MMAX) GOTO 995
IF(N.GT.NMAX) GOTO 994
NID=ID
IBEGIN(1)=1
C WE NOW READ THE SPECIES NAMES FOLLOWED BY THE SAMPLE NAMES
READ(IUINP2,1100) (JNAME1(J),JNAME2(J),J=1,N)
READ(IUINP2,1100) (INAME1(I),INAME2(I),I=1,MM)
1100 FORMAT(20A4)
WRITE(IUOUT1,2100)
WRITE(IUOUT2,2100)
2100 FORMAT(1X,'ENTER NUMBERS (NOT NAMES) OF SAMPLES TO BE ',
1'OMITTED'/1X,'ONE AT A TIME, ENDING LIST WITH A ZERO'/)
200 READ(IUINP1,*) NONO
IF(NONO.LT.0) GOTO 200
IF(NONO.GT.MMAX) GOTO 200
IF(NONO.EQ.0) GOTO 300
WRITE(IUOUT2,2101) NONO
WRITE(IUOUT1,2101) NONO
2101 FORMAT(1X,'SAMPLE',I6,' TO BE OMITTED')
INFLAG(NONO)=0
GOTO 200
300 WRITE(IUOUT2,2102) NONO
WRITE(IUOUT1,2102) NONO
2102 FORMAT(1X,6X,I6)
I=0
DO 400 II=1,MM
IF(INFLAG(II).NE.1) GOTO 400
I=I+1
IBEGIN(I)=IBEGIN(II)
IEND(I)=IEND(II)
INAME1(I)=INAME1(II)
INAME2(I)=INAME2(II)
INFLAG(I)=II
400 CONTINUE
MM=I
RETURN
994 WRITE(IUOUT2,1994) N,NMAX
WRITE(IUOUT1,1994) N,NMAX
1994 FORMAT(1X,'***ABORT*** LARGEST SPECIES NUMBER ',
1'IS',I4,'BUT SHOULD NOT EXCEED',I4)
STOP
C---Bug fixed P.Minchin June 1997 - M changed to MM
995 WRITE(IUOUT2,1995) MM,MMAX
WRITE(IUOUT1,1995) MM,MMAX
1995 FORMAT(1X,'***ABORT*** LARGEST SAMPLE NUMBER ',
1'IS',I4,'BUT SHOULD NOT EXCEED',I4)
STOP
996 WRITE(IUOUT2,1996) II
WRITE(IUOUT1,1996) II
1996 FORMAT(1X,'***ABORT*** NO MORE SPACE FOR DATA ',
1'MATRIX, STOPPED AT SAMPLE',I4)
STOP
997 WRITE(IUOUT2,1997) II
WRITE(IUOUT1,1997) II
1997 FORMAT(1X,'***ABORT*** NEGATIVE NUMBER FOUND IN SAMPLE',I4)
STOP
999 WRITE(IUOUT2,1999) III
WRITE(IUOUT1,1999) III
1999 FORMAT(1X,'***ABORT*** NON-SEQUENTIAL SAMPLE',
1' NUMBER FOUND AFTER SAMPLE',I4)
STOP
END
C
SUBROUTINE XYMULT(X,Y,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
C STARTS WITH VECTOR X AND FORMS MATRIX PRODUCT Y=AX
REAL X(MI),Y(N),QIDAT(NID)
INTEGER IBEGIN(MI),IEND(MI),IDAT(NID)
DO 10 J=1,N
10 Y(J)=0.0
DO 30 I=1,MI
ID1=IBEGIN(I)
ID2=IEND(I)
AX=X(I)
DO 20 ID=ID1,ID2
J=IDAT(ID)
20 Y(J)=Y(J)+AX*QIDAT(ID)
30 CONTINUE
RETURN
END
C
SUBROUTINE YXMULT(Y,X,MI,N,NID,IBEGIN,IEND,IDAT,QIDAT)
C STARTS WITH VECTOR Y AND FORMS MATRIX PRODUCT X=AY
REAL X(MI),Y(N),QIDAT(NID)
INTEGER IBEGIN(MI),IEND(MI),IDAT(NID)
DO 20 I=1,MI
ID1=IBEGIN(I)
ID2=IEND(I)
AX=0.0
DO 10 ID=ID1,ID2
J=IDAT(ID)
10 AX=AX+Y(J)*QIDAT(ID)
20 X(I)=AX
RETURN
END
C
SUBROUTINE XMAXMI(X,AXMAX,AXMIN,M)
C FORMS MAXIMUM AND MINIMUM OF X(M)
REAL X(M)
AXMAX=-1.0E10
AXMIN=-AXMAX
DO 10 I=1,M
AX=X(I)
IF(AX.GT.AXMAX) AXMAX=AX
IF(AX.LT.AXMIN) AXMIN=AX