!  &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!  &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!
!    rcmd build  --binary --no-vignettes oc
!

!        IMPLICIT INTEGER(I-N)
!        IMPLICIT DOUBLE PRECISION(A-H,O-Z)
        SUBROUTINE OC(VOTES,NUMMEMBERS,NUMVOTES,DIMS,       &
          POLARITY,CLASSIFY,FITS,VOLUME,                       &
          IDEALPOINTS,MIDPOINTS,NORMALVECTORS,EIGENVALUES,     &
          EXITSTATUS)
!
        IMPLICIT DOUBLE PRECISION(A-H,O-Z)
        IMPLICIT INTEGER(I-N)
        INTEGER VOTES(NUMMEMBERS*NUMVOTES),DIMS,POLARITY(DIMS), &
                EXITSTATUS
        DOUBLE PRECISION EIGENVALUES(NUMMEMBERS), &
                CLASSIFY((NUMMEMBERS+NUMVOTES)*4), &
                FITS(2),MIDPOINTS(NUMVOTES), &
                NORMALVECTORS(NUMVOTES*DIMS), &
                IDEALPOINTS(NUMMEMBERS*DIMS),VOLUME(NUMMEMBERS)
      DOUBLE PRECISION:: ZUP=0.0,ZDOWN=0.0
!
      INTEGER, ALLOCATABLE :: LDATA(:,:)
      INTEGER, ALLOCATABLE :: KAV(:)
      INTEGER, ALLOCATABLE :: KAY(:)
      INTEGER, ALLOCATABLE :: KAN(:)
      INTEGER, ALLOCATABLE :: MCUTS(:,:)
      INTEGER, ALLOCATABLE :: LERROR(:,:)
      INTEGER, ALLOCATABLE :: LLEGERR(:,:)
      INTEGER, ALLOCATABLE :: KCUTTER(:)
      INTEGER, ALLOCATABLE :: LCUTTER(:)
      INTEGER, ALLOCATABLE :: LLL(:)
      INTEGER, ALLOCATABLE :: MDATA(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ZMAT2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: WVEC2(:)
      DOUBLE PRECISION, ALLOCATABLE :: DSTAR(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XDATA(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: XMAT0(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XMAT(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ZVEC(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: WS(:)
      DOUBLE PRECISION, ALLOCATABLE :: XONE(:)
      DOUBLE PRECISION, ALLOCATABLE :: XPT(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZPT(:)
      DOUBLE PRECISION, ALLOCATABLE :: XPROJ(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ZS(:)
      DOUBLE PRECISION, ALLOCATABLE :: YRANK(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV1(:)
      ALLOCATE(LDATA(NUMMEMBERS,NUMVOTES))
      ALLOCATE(KAV(NUMVOTES))
      ALLOCATE(KAY(NUMVOTES))
      ALLOCATE(KAN(NUMVOTES))
      ALLOCATE(MCUTS(NUMVOTES,2))
      ALLOCATE(LERROR(NUMMEMBERS,NUMVOTES))
      ALLOCATE(LLEGERR(NUMMEMBERS,2))
      ALLOCATE(KCUTTER(NUMVOTES))
      ALLOCATE(LCUTTER(NUMVOTES))
      ALLOCATE(LLL(2*NUMMEMBERS+2*NUMVOTES+111))
      ALLOCATE(MDATA(6,NUMVOTES))
!      ALLOCATE(ZMAT2(NUMMEMBERS,NUMMEMBERS))
      ALLOCATE(ZMAT2(1500,1500))
      ALLOCATE(WVEC2(1500))
!      ALLOCATE(WVEC2(NUMMEMBERS))
      ALLOCATE(DSTAR(1500,1500))
!      ALLOCATE(DSTAR(NUMMEMBERS,NUMMEMBERS))
      ALLOCATE(XDATA(NUMMEMBERS,25))
      ALLOCATE(XXX(NUMMEMBERS))
      ALLOCATE(XMAT0(NUMMEMBERS,25))
      ALLOCATE(XMAT(NUMMEMBERS,25))
      ALLOCATE(ZVEC(NUMVOTES,25))
      ALLOCATE(WS(2*NUMMEMBERS+2*NUMVOTES+111))
      ALLOCATE(XONE(2*NUMMEMBERS+2*NUMVOTES+111))
      ALLOCATE(XPT(2*NUMMEMBERS+2*NUMVOTES+111))
      ALLOCATE(ZPT(NUMVOTES))
      ALLOCATE(XPROJ(2,NUMVOTES))
      ALLOCATE(ZS(NUMVOTES))
      ALLOCATE(YRANK(NUMMEMBERS))
      ALLOCATE(FV1(NUMMEMBERS))
!
!  100 FORMAT(6I6)
!  150 FORMAT(I5,75F10.4)
!  304 FORMAT(1X,78('*'))
! 1095 FORMAT(' L-PERMUTATIONS',I3,2I8,8F9.5)
! 1096 FORMAT(3I5,25F10.4)
! 1097 FORMAT(2I5,6I4,2I2,25F10.4)
! 1098 FORMAT(' R-SQUARE BEFORE AND AFTER EDITH',F10.4)
! 1099 FORMAT(' MACHINE PREC. ',I3,2I8,3F9.5)
!
!    SET VARIABLES AND ARRAYS PASSED IN FROM R TO THEIR NAMES
!        USED IN THE ORIGINAL NOMINATE AND W-NOMINATE FORTRAN
!        CODE
!
!  SET PRINTER SWITCH FOR DEBUGGING PURPOSES -- 1=PRINT, 0=NO PRINT
!
      IPRINT=0
!
!  INITIALIZE RANDOM NUMBER GENERATOR
!
      CALL RNDSTART()
      NS=DIMS
      NP=NUMMEMBERS
      NRCALL=NUMVOTES
!
      NDUAL=2*(NUMMEMBERS+NUMVOTES)+111
!
      XVMIN=0.005
!      KVMIN=10
      KVMIN=MIN(10,NUMVOTES-1)
!
!  INITIALIZE CLASSIFY
!
      KK=0
      DO I=1,4
        DO J=1,NUMVOTES+NUMMEMBERS
          KK=KK+1
          CLASSIFY(KK)=0.0
        END DO
      END DO
!
      DO I=1,NUMMEMBERS
        XXX(I)=0.0
      END DO
!
!  UN-TRANSPOSED CODE
!
      DO J=1,NUMVOTES*DIMS
        NORMALVECTORS(J)=0.0
      END DO
      DO J=1,NUMVOTES
        DO I=1,NUMMEMBERS
          LDATA(I,J)=VOTES(I+(J-1)*NUMMEMBERS)
          LERROR(I,J)=0
        END DO
      END DO
!
!
!  SUBROUTINE KPCLEAN--THROWS OUT ALL VOTES WITH LESS THAN XVMIN MAJ. AND
!    ALL LEGISLATORS VOTING LESS THAN KVMIN TIMES
!
      CALL KPCLEAN(NUMMEMBERS,NUMVOTES,&
                 NP,NRCALL,XVMIN,KVMIN,IPRINT,KPTSUM,LDATA, &
                 KAV,KAY,KAN)
!      CALL KPCLEAN(NP,NRCALL,XVMIN,KVMIN,IPRINT,KPTSUM,LDATA, &
!                 KAV,KAY,KAN)
!
!  RESET NUMBER OF DIMENSIONS IF IT EXCEEDS NP-1
!
      IF(NS.GT.NP-1)THEN
         NS=NP-1
      ENDIF
!
!
!  CALCULATE AGREEMENT SCORE MATRIX, DOUBLE-CENTER IT, AND
!     EXTRACT EIGENVECTORS TO OBTAIN LEGISLATOR STARTS
!
!
!  SET UP FOR DO LOOP THROUGH STARTING ESTIMATES
!
!  THIS IS THE MAXIMUM MATRIX SIZE -- NEEDED FOR KPRS(...) CALL
!
      NPMAX=1500
!
      NPKADD=1000
      NPKADD2=500
      NPLOOP=NP/NPKADD2
      NPREMAIN=NP-NPLOOP*NPKADD2
!      IF(IPRINT.EQ.1)WRITE(23,1005)NP,NPLOOP,NPKADD,NPREMAIN
! 1005 FORMAT(' SETUP FOR MULTIPLE DECOMPOSITIONS',4I9)
      KADD=0
!
      IF(NP.GE.1500)THEN
         DO IMMM=1,NPLOOP-1
           IF(IMMM.EQ.NPLOOP-1)NPKADD=NP-KADD
           CALL KPASCORE(NUMMEMBERS,NUMVOTES,&
                         NPMAX,NP,NPKADD,KADD,NRCALL,NS,NDUAL,11, &
                          IPRINT,ZMAT2,WVEC2,DSTAR,LDATA)
!
!  STORE COORDINATES OF LEGISLATORS
!
!  COMPUTE CORRELATION OF OVERLAP
!
           IF(IMMM.GE.2)THEN
              DO K=1,NS
                ASUM=0.0
                BSUM=0.0
                CSUM=0.0
                DSUM=0.0
                ESUM=0.0
                DO I=1,500
                  IF(IMMM.EQ.2)EIGENVALUES(I)=WVEC2(I)
                  ASUM=ASUM+XMAT(I+KADD,K)
                  BSUM=BSUM+ZMAT2(I,K)
                  CSUM=CSUM+XMAT(I+KADD,K)*XMAT(I+KADD,K)
                  DSUM=DSUM+ZMAT2(I,K)*ZMAT2(I,K)
                  ESUM=ESUM+XMAT(I+KADD,K)*ZMAT2(I,K)
                END DO
                AKP=500.0*CSUM-ASUM*ASUM
                BKP=500.0*DSUM-BSUM*BSUM
                CKP=500.0*ESUM-ASUM*BSUM
                FV1(K)=CKP/SQRT(AKP*BKP)
              END DO
           ENDIF
           DO K=1,NS
             DO I=1,NPKADD
               IF(IMMM.EQ.1)THEN
                  XMAT(I+KADD,K)=ZMAT2(I,K)
               ENDIF
               IF(IMMM.GE.2)THEN
                  IF(FV1(K).GT.0.0)XMAT(I+KADD,K)=ZMAT2(I,K)
                  IF(FV1(K).LT.0.0)XMAT(I+KADD,K)=-ZMAT2(I,K)
               ENDIF
!
             END DO
           END DO
!
!  INCREMENT COUNTERS
!
           KADD=KADD+NPKADD2
         END DO
      ENDIF
!
      IF(NP.LT.1500)THEN
         CALL KPASCORE(NUMMEMBERS,NUMVOTES,&
                       NPMAX,NP,NP,KADD,NRCALL,NS,NDUAL,11,IPRINT, &
                        ZMAT2,WVEC2,DSTAR,LDATA)
      ENDIF
!
      DO I=1,NP
        VOLUME(I)=0.0
        IF(NP.LT.1500)EIGENVALUES(I)=WVEC2(I)
        DO K=1,NS
          IF(NP.LT.1500)THEN
             XDATA(I,K)=ZMAT2(I,K)*SQRT(ABS(WVEC2(K)))
          ENDIF
          IF(NP.GE.1500)THEN
             XDATA(I,K)=XMAT(I,K)
          ENDIF
          IF(NS.EQ.1)XXX(I)=XDATA(I,1)
        END DO
      END DO
!
!  NORMALIZE ESTIMATES OF LEGISLATORS TO BE WITHIN THE
!   UNIT HYPERSPHERE WITH CENTROID = 0
!
!
!  PERFORM METRIC SCALING TO INCREASE PRECISION OF STARTING COORDINATES
!
      IF(NP.LT.1500)THEN
         IF(NS.GT.1)THEN
            CALL KPWHOOPE(NUMMEMBERS,NPMAX,NP,NS,DSTAR,XXX,XDATA,&
                       SSE1,SSE2,KTP,IPRINT)
         ENDIF
      ENDIF
      DO K=1,NS
        SUM=0.0
        BB=-99.0
        DO I=1,NP
          IF(NS.EQ.1)XDATA(I,1)=XXX(I)
          SUM=SUM+XDATA(I,K)
        END DO
        DO I=1,NP
          XDATA(I,K)=XDATA(I,K)-SUM/FLOAT(NP)
          BB=MAX(BB,XDATA(I,K))
        END DO
        DO I=1,NP
          XDATA(I,K)=XDATA(I,K)/BB
        END DO
      END DO
!
!  NORMALIZE ESTIMATES OF LEGISLATORS TO BE WITHIN THE
!   UNIT HYPERSPHERE WITH CENTROID = 0
!
      DO K=1,NS
        SUM=0.0
        DO I=1,NP
          SUM=SUM+XDATA(I,K)
        END DO
        DO I=1,NP
          XDATA(I,K)=XDATA(I,K)-SUM/FLOAT(NP)
        END DO
      END DO
      BB=-99.0
      DO I=1,NP
        SUM=0.0
        DO K=1,NS
          SUM=SUM+XDATA(I,K)**2
        END DO
        BB=MAX(BB,SUM)
      END DO
      DO I=1,NP
        DO K=1,NS
          XDATA(I,K)=XDATA(I,K)*(1.0/SQRT(BB))
        END DO
      END DO
!
!  WRITE OUT METRIC SCALING COORDINATES USED AS STARTS
!
      DO I=1,NP
        DO K=1,NS
          XMAT0(I,K)=XDATA(I,K)
        END DO
      END DO
!
!  CHECK POLARITY OF OC COORDINATES
!
      KLSEN=POLARITY(1)
      IF(NS.GT.1)KLSEN2=POLARITY(2)
      XLEFT=XMAT0(KLSEN,1)
      IF(NS.GT.1)XUP=XMAT0(KLSEN2,2)
      DO I=1,NP
        IF(XLEFT.LT.0.0)THEN
           XMAT0(I,1)=-XMAT0(I,1)
        ENDIF
        IF(NS.GT.1)THEN
           IF(XUP.LT.0.0)THEN
              XMAT0(I,2)=-XMAT0(I,2)
           ENDIF
        ENDIF
        XONE(I)=XMAT0(I,1)
        XDATA(I,1)=XMAT0(I,1)
        IF(NS.GT.1)THEN
           DO K=1,NS
              XDATA(I,K)=XMAT0(I,K)
           END DO
        ENDIF
      END DO
!
!  INITIALIZE NORMAL VECTORS TO SQRT(1/S)
!
      DO JJ=1,NRCALL
        DO K=1,NS
          ZVEC(JJ,K)=SQRT(1.0/FLOAT(NS))
        END DO
      END DO
!
      IF(NS.GT.1)THEN
         CALL KPZVECSTRT(NUMMEMBERS,NUMVOTES,&
                         NP,NRCALL,NS,NDUAL,XMAT0,ZVEC,LDATA,IPRINT)
      ENDIF
!
!    RUN EDITH TO GET OPTIMAL CLASSIFICATIONS FOR S=1
!
      CALL KPEDITH(NUMMEMBERS,NUMVOTES,&
                   NP,NRCALL,NS,NDUAL,XMAT0,XONE,XPT,ZPT,XCLASS,KTOTC, &
                 KCUTTER,LCUTTER,LERROR,LDATA,MSUM,IPRINT)
!
!  TOTAL CHOICES IN MINORITY
!
      MPRE=KTOTC-MSUM
!
!
!  COMPUTE R-SQUARE BETWEEN EDITH COORDINATES AND COORDINATES FROM
!    MATRIX DECOMPOSITION
!
      ASUM=0.0
      BSUM=0.0
      CSUM=0.0
      DSUM=0.0
      ESUM=0.0
      DO I=1,NP
        ASUM=ASUM+XMAT0(I,1)
        BSUM=BSUM+XPT(I)
        CSUM=CSUM+XMAT0(I,1)**2
        DSUM=DSUM+XPT(I)**2
        ESUM=ESUM+XMAT0(I,1)*XPT(I)
!
        XMAT0(I,1)=XPT(I)
!
      END DO
      AA=FLOAT(NP)*ESUM-ASUM*BSUM
      AB=FLOAT(NP)*CSUM-ASUM*ASUM
      AC=FLOAT(NP)*DSUM-BSUM*BSUM
      RSQR=(AA*AA)/(AB*AC)
!
      IF(NS.EQ.1)THEN
!
!  DO PERMUTATIONS OF ALL 5-ADJACENT LEGISLATOR BLOCKS TO SHARPEN
!       RANK ORDERING
!
!
      IF(NP.LT.1500)THEN
      CALL ECHOEVENT(15)
      CALL FLUSHCON()
      CALL PROCEVENT()
         NNPERM=2
         CALL KPSHARPEN(NUMMEMBERS,NUMVOTES,&
                        NNPERM,NP,NRCALL,NS,NDUAL,KCUTTER,LCUTTER, &
                        XMAT0,ZPT,WS,LDATA,LERROR,IPRINT)
      CALL ECHOEVENT(16)
      CALL FLUSHCON()
      CALL PROCEVENT()
         NNPERM=3
         CALL KPSHARPEN(NUMMEMBERS,NUMVOTES,&
                       NNPERM,NP,NRCALL,NS,NDUAL,KCUTTER,LCUTTER, &
                       XMAT0,ZPT,WS,LDATA,LERROR,IPRINT)
!         NNPERM=4
!         CALL KPSHARPEN(NUMMEMBERS,NUMVOTES,&
!                        NNPERM,NP,NRCALL,NS,NDUAL,KCUTTER,LCUTTER,
!     C                 XMAT0,ZPT,WS,LDATA,LERROR,IPRINT)
      ENDIF
!
!  CALCULATE ERRORS
!
         DO I=1,NP
           KITOT=0
           KIERR=0
           DO JX=1,NRCALL
             IF(LDATA(I,JX).NE.0)KITOT=KITOT+1
             IF(LERROR(I,JX).EQ.1)KIERR=KIERR+1
           END DO
           LLEGERR(I,1)=KIERR
           LLEGERR(I,2)=KITOT
         END DO
!
!  RANK ORDER THE LEGISLATORS
!
         DO I=1,NP
           XXX(I)=XMAT0(I,1)
           LLL(I)=I
         END DO
         CALL KPRSORT(XXX,NP,LLL)
!
         DO I=1,NP
           YRANK(I)=0.0
           KK=0
           LL=0
           JJ=0
           DO J=1,NP
             JJ=JJ+1
             IF(ABS(XXX(I)-XXX(J)).LE..00001)THEN
                KK=KK+1
                LL=LL+JJ
             ENDIF
           END DO
           YRANK(I)=FLOAT(LL)/FLOAT(KK)
         END DO
!
!
!  WRITE OUT LEGISLATOR COORDINATES -- SORTED AND UNSORTED BY RANK
!
         DO I=1,NP
           FV1(LLL(I))=YRANK(I)
           BPER=FLOAT(LLEGERR(LLL(I),2)-LLEGERR(LLL(I),1))/ &
                                           FLOAT(LLEGERR(LLL(I),2))
!         IF(IPRINT.EQ.1)WRITE(11,1096)I, &
!                         LLEGERR(LLL(I),1),LLEGERR(LLL(I),2), &
!                                  BPER,YRANK(I)
         END DO
!         IF(IPRINT.EQ.1)WRITE(11,304)
         DO I=1,NP
           BPER=FLOAT(LLEGERR(I,2)-LLEGERR(I,1))/ &
                                           FLOAT(LLEGERR(I,2))
!         IF(IPRINT.EQ.1)WRITE(11,1096)I, &
!                         LLEGERR(I,1),LLEGERR(I,2), &
!                                  BPER,FV1(I)
!
!  TRANSFER OC COORDINATES TO OUTPUT VECTOR
!
           IDEALPOINTS(I)=FV1(I)
         END DO
!
!  WRITE OUT ROLL CALL CLASSIFICATIONS
!
!         IF(IPRINT.EQ.1)WRITE(11,304)
         KTSUM=0
         NMISS=0
         DO J=1,NRCALL
           KSUM=0
           KYES=0
           KNO=0
           KYEAYEA=0
           KNAYNAY=0
           KYEANAY=0
           KNAYYEA=0
           NSAVEI=0
           DO I=1,NP
             IF(LDATA(I,J).EQ.0)NMISS=NMISS+1
             IF(LDATA(I,J).EQ.1)KYES=KYES+1
             IF(LDATA(I,J).EQ.6)KNO=KNO+1
             IF(LERROR(I,J).EQ.0)THEN
!
!  CORRECT CHOICE -- YEA
!
                IF(LDATA(I,J).EQ.1)THEN
                   KYEAYEA=KYEAYEA+1
                   CLASSIFY((I-1)*4 + 1)=CLASSIFY((I-1)*4 + 1)+1
                ENDIF
!
!  CORRECT CHOICE -- NAY
!
                IF(LDATA(I,J).EQ.6)THEN
                   KNAYNAY=KNAYNAY+1
                   CLASSIFY((I-1)*4 + 4)=CLASSIFY((I-1)*4 + 4)+1
                ENDIF
             ENDIF
             IF(LERROR(I,J).EQ.1)THEN
                KSUM=KSUM+1
!
!  INCORRECT CHOICE -- VOTED YEA INSTEAD OF NAY
!
                IF(LDATA(I,J).EQ.1)THEN
                   KYEANAY=KYEANAY+1
                   CLASSIFY((I-1)*4 + 3)=CLASSIFY((I-1)*4 + 3)+1
                ENDIF
!
!  INCORRECT CHOICE -- VOTED NAY INSTEAD OF YEA
!
                IF(LDATA(I,J).EQ.6)THEN
                   KNAYYEA=KNAYYEA+1
                   CLASSIFY((I-1)*4 + 2)=CLASSIFY((I-1)*4 + 2)+1
                ENDIF
             ENDIF
             IF(ZPT(J).LT.XXX(1))THEN
                ZDOWN=YRANK(1)
                ZUP=YRANK(1)
                NSAVEI=I
                GO TO 812
             ENDIF
             IF(ZPT(J).GT.XXX(NP))THEN
                ZDOWN=YRANK(NP)
                ZUP=YRANK(NP)
                NSAVEI=I
                GO TO 812
             ENDIF
             IF(I.LT.NP)THEN
             IF(ZPT(J).GT.XXX(I).AND.ZPT(J).LT.XXX(I+1))THEN
                ZDOWN=YRANK(I)
                ZUP=YRANK(I+1)
                NSAVEI=I
             ENDIF
             ENDIF
 812       CONTINUE
           END DO

!
!  TAKE CARE OF TIED RANKS/PRECISION PROBLEMS
!
           IF(NSAVEI.EQ.0)THEN
              DO I=1,NP
                IF(ABS(XXX(I)-ZPT(J)).LE..00001)THEN
                   ZDOWN=YRANK(I)
                   ZUP=YRANK(I)
                   NSAVEI=I
                   GO TO 8124
                ENDIF
              END DO
           ENDIF
 8124      CONTINUE
           KTSUM=KTSUM+KSUM
           KYESNO=MIN(KYES,KNO)
           XCLASS=FLOAT(KYEAYEA+KNAYNAY)/ &
                      FLOAT(KYEAYEA+KNAYNAY+KYEANAY+KNAYYEA)
           XPRE=FLOAT(KYESNO-KSUM)/FLOAT(KYESNO)
!
!  COMPUTE CUTTING POINT ON NORMAL VECTOR
!
!         IF(IPRINT.EQ.1)WRITE(11,1097)J,KAV(J),KYES,KNO, &
!                      KYEAYEA,KNAYYEA,KYEANAY,KNAYNAY, &
!                      KCUTTER(J),LCUTTER(J), &
!                      XCLASS,XPRE,(ZDOWN+ZUP)/2.0
           CLASSIFY(NUMMEMBERS*4 + (J-1)*4 + 1)=KYEAYEA
           CLASSIFY(NUMMEMBERS*4 + (J-1)*4 + 2)=KNAYYEA
           CLASSIFY(NUMMEMBERS*4 + (J-1)*4 + 3)=KYEANAY
           CLASSIFY(NUMMEMBERS*4 + (J-1)*4 + 4)=KNAYNAY
           LLL(J)=J
           MDATA(1,J)=KYES
           MDATA(2,J)=KNO
           MDATA(3,J)=KYEAYEA
           MDATA(4,J)=KYEAYEA
           MDATA(5,J)=KYEAYEA
           MDATA(6,J)=KYEAYEA
           XPROJ(1,J)=XCLASS
           XPROJ(2,J)=XPRE
           ZS(J)=(ZDOWN+ZUP)/2.0
           MIDPOINTS(J)=ZS(J)
         END DO
         CALL KPRSORT(ZS,NRCALL,LLL)
!         IF(IPRINT.EQ.1)WRITE(11,304)
         DO J=1,NRCALL
!         IF(IPRINT.EQ.1)WRITE(11,1097)LLL(J),KAV(LLL(J)), &
!                       (MDATA(JJ,LLL(J)),JJ=1,6), &
!                       KCUTTER(LLL(J)),LCUTTER(LLL(J)), &
!                       XPROJ(1,LLL(J)), &
!                       XPROJ(2,LLL(J)),ZS(J)
         END DO
         XHECK=1.0-(FLOAT(KTSUM)/FLOAT(NP*NRCALL-NMISS))
         XPRE=FLOAT(MPRE-KTSUM)/FLOAT(MPRE)
!         IF(IPRINT.EQ.1)WRITE(21,1095)NNPERM,KTSUM, &
!                       NP*NRCALL-NMISS,1.0-XHECK,XHECK,XPRE
         FITS(1)=XHECK
         FITS(2)=XPRE
      ENDIF
!
!  RETURN IF ONE DIMENSION
!
      EXITSTATUS=1
      IF(NS.EQ.1) THEN
        DEALLOCATE(LDATA)
        DEALLOCATE(KAV)
        DEALLOCATE(KAY)
        DEALLOCATE(KAN)
        DEALLOCATE(MCUTS)
        DEALLOCATE(LERROR)
        DEALLOCATE(LLEGERR)
        DEALLOCATE(KCUTTER)
        DEALLOCATE(LCUTTER)
        DEALLOCATE(LLL)
        DEALLOCATE(MDATA)
        DEALLOCATE(ZMAT2)
        DEALLOCATE(WVEC2)
        DEALLOCATE(DSTAR)
        DEALLOCATE(XDATA)
        DEALLOCATE(XXX)
        DEALLOCATE(XMAT0)
        DEALLOCATE(XMAT)
        DEALLOCATE(ZVEC)
        DEALLOCATE(WS)
        DEALLOCATE(XONE)
        DEALLOCATE(XPT)
        DEALLOCATE(ZPT)
        DEALLOCATE(XPROJ)
        DEALLOCATE(ZS)
        DEALLOCATE(YRANK)
        DEALLOCATE(FV1)
        RETURN
      ENDIF
!
!  &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!    TWO OR MORE DIMENSIONS BELOW
!  &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!
!
!  TRANSFER METRIC SCALING STARTING COORDINATES BACK INTO XMAT0(.,.)
!
      DO I=1,NP
        DO K=1,NS
          XMAT0(I,K)=XDATA(I,K)
        END DO
      END DO
!
      IFIXX=1
      DO JJJ=1,10
        CALL KPCUTPLANE(NUMMEMBERS,NUMVOTES,&
                        JJJ,NP,NRCALL,NS,NDUAL,XMAT0,ZVEC,WS, &
                        MCUTS,LERROR,IFIXX,KTT,KT,LDATA,IPRINT)
!
        CALL KPLEGIS(NUMMEMBERS,NUMVOTES,&
                     JJJ,NP,NRCALL,NS,NDUAL,XMAT0,LLEGERR, &
                          ZVEC,WS,MCUTS,LERROR,LTOTAL,MWRONG, &
                          LDATA,IPRINT)
!
      END DO
      KTSAVE=KT
!
!  TRANSFER OC COORDINATES TO OUTPUT VECTOR
!
      DO I=1,NP
        DO K=1,NS
          IDEALPOINTS(I+(K-1)*NUMMEMBERS)=XMAT0(I,K)
        END DO
      END DO
!
!  CALCULATE VOLUME FOR LEGISLATORS
!
!
      DO I=1,NP
        IX=I
!
        CALL KPVOLUME2(NUMMEMBERS,NUMVOTES,&
                       IX,NS,NP,NRCALL,NDUAL,XMAT0,ZVEC,WS,LDATA,BMAX, &
                      KBMAX,IPRINT)
!
        BPER=FLOAT(LLEGERR(I,2)-LLEGERR(I,1))/FLOAT(LLEGERR(I,2))
!      IF(IPRINT.EQ.1)WRITE(25,1096)I,LLEGERR(I,1),LLEGERR(I,2), &
!                                   BPER,BMAX,(XMAT0(I,K),K=1,NS)
        VOLUME(I)=BMAX
!
      END DO
!
!  PLACE NORMAL VECTOR IN POSITIVE SIDE OF HYPERSPHERE
!    AND COMPUTE REDUNDANCY CHECK
!
      MPRE=0
      KCHECK4=0
      DO JX=1,NRCALL
        KCUT=MCUTS(JX,1)
        LCUT=MCUTS(JX,2)
!
!  CHECK SIGN HERE
!
        IF(ZVEC(JX,1).LT.0.0)THEN
           DO K=1,NS
             ZVEC(JX,K)=-ZVEC(JX,K)
           END DO
           WS(JX)=-WS(JX)
           KCUT=MCUTS(JX,2)
           LCUT=MCUTS(JX,1)
           MCUTS(JX,1)=KCUT
           MCUTS(JX,2)=LCUT
        ENDIF
!
        KSUM=0
        KYES=0
        KNO=0
        KLOW=0
        KHIGH=0
        KYEAYEA=0
        KNAYNAY=0
        KYEANAY=0
        KNAYYEA=0
        DO I=1,NP
          IF(LDATA(I,JX).EQ.1)KYES=KYES+1
          IF(LDATA(I,JX).EQ.6)KNO=KNO+1
          IF(LERROR(I,JX).EQ.1)KSUM=KSUM+1
!
!      CALCULATE PREDICTED MARGIN
!
          SUM=0.0
          DO K=1,NS
            SUM=SUM+XMAT0(I,K)*ZVEC(JX,K)
          END DO
          IF(LDATA(I,JX).EQ.0)GO TO 993
          IF(SUM.LE.WS(JX))THEN
!
!  INCORRECT CHOICE
!
             IF(LDATA(I,JX).NE.KCUT)THEN
                KCHECK4=KCHECK4+1
!
!  INCORRECT CHOICE -- VOTED YEA INSTEAD OF NAY
!
                IF(LDATA(I,JX).EQ.1)THEN
                   KYEANAY=KYEANAY+1
                   CLASSIFY((I-1)*4 + 3)=CLASSIFY((I-1)*4 + 3)+1
                ENDIF
!
!  INCORRECT CHOICE -- VOTED NAY INSTEAD OF YEA
!
                IF(LDATA(I,JX).EQ.6)THEN
                   KNAYYEA=KNAYYEA+1
                   CLASSIFY((I-1)*4 + 2)=CLASSIFY((I-1)*4 + 2)+1
                ENDIF
             ENDIF
!
!  CORRECT CHOICE -- YEA
!
             IF(LDATA(I,JX).EQ.KCUT.AND.LDATA(I,JX).EQ.1)THEN
                KYEAYEA=KYEAYEA+1
                CLASSIFY((I-1)*4 + 1)=CLASSIFY((I-1)*4 + 1)+1
             ENDIF
!
!  CORRECT CHOICE -- NAY
!
             IF(LDATA(I,JX).EQ.KCUT.AND.LDATA(I,JX).EQ.6)THEN
                KNAYNAY=KNAYNAY+1
                CLASSIFY((I-1)*4 + 4)=CLASSIFY((I-1)*4 + 4)+1
             ENDIF
          ENDIF
          IF(SUM.GT.WS(JX))THEN
             IF(LDATA(I,JX).NE.LCUT)THEN
                KCHECK4=KCHECK4+1
!
!  INCORRECT CHOICE -- VOTED YEA INSTEAD OF NAY
!
                IF(LDATA(I,JX).EQ.1)THEN
                   KYEANAY=KYEANAY+1
                   CLASSIFY((I-1)*4 + 3)=CLASSIFY((I-1)*4 + 3)+1
                ENDIF
!
!  INCORRECT CHOICE -- VOTED NAY INSTEAD OF YEA
!
                IF(LDATA(I,JX).EQ.6)THEN
                   KNAYYEA=KNAYYEA+1
                   CLASSIFY((I-1)*4 + 2)=CLASSIFY((I-1)*4 + 2)+1
                ENDIF
             ENDIF
!
!  CORRECT CHOICE -- YEA
!
             IF(LDATA(I,JX).EQ.LCUT.AND.LDATA(I,JX).EQ.1)THEN
                KYEAYEA=KYEAYEA+1
                CLASSIFY((I-1)*4 + 1)=CLASSIFY((I-1)*4 + 1)+1
             ENDIF
!
!  CORRECT CHOICE -- NAY
!
             IF(LDATA(I,JX).EQ.LCUT.AND.LDATA(I,JX).EQ.6)THEN
                KNAYNAY=KNAYNAY+1
                CLASSIFY((I-1)*4 + 4)=CLASSIFY((I-1)*4 + 4)+1
             ENDIF
          ENDIF
 993      CONTINUE
!
          IF(SUM.LT.WS(JX))THEN
             KLOW=KLOW+1
          ENDIF
          IF(SUM.GT.WS(JX))THEN
             KHIGH=KHIGH+1
          ENDIF
        END DO
        KYESNO=MIN(KYES,KNO)
        MPRE=MPRE+KYESNO
        XCLASS=FLOAT(KYEAYEA+KNAYNAY)/ &
                      FLOAT(KYEAYEA+KNAYNAY+KYEANAY+KNAYYEA)
        XPRE=FLOAT(KYESNO-KSUM)/FLOAT(KYESNO)
!
!      IF(IPRINT.EQ.1)WRITE(25,1097)JX,KAV(JX),KYES,KNO, &
!                      KYEAYEA,KNAYYEA,KYEANAY,KNAYNAY, &
!                      KCUT,LCUT,XCLASS,XPRE,WS(JX), &
!                      (ZVEC(JX,K),K=1,NS)
        CLASSIFY(NUMMEMBERS*4 + (JX-1)*4 + 1)=KYEAYEA
        CLASSIFY(NUMMEMBERS*4 + (JX-1)*4 + 2)=KNAYYEA
        CLASSIFY(NUMMEMBERS*4 + (JX-1)*4 + 3)=KYEANAY
        CLASSIFY(NUMMEMBERS*4 + (JX-1)*4 + 4)=KNAYNAY
        MIDPOINTS(JX)=WS(JX)
        DO K=1,NS
          NORMALVECTORS(JX+(K-1)*NUMVOTES)=ZVEC(JX,K)
        END DO
      END DO
!
      XERROR=FLOAT(KCHECK4)/FLOAT(KTSAVE)
      YERROR=1.0-XERROR
      XPRE=FLOAT(MPRE-KCHECK4)/FLOAT(MPRE)
!      IF(IPRINT.EQ.1)WRITE(23,1099)NS,KCHECK4,KTSAVE,XERROR,YERROR,XPRE
      FITS(1)=YERROR
      FITS(2)=XPRE
!
!
!  SHUT DOWN RANDOM NUMBER GENERATOR
!
      CALL RNDEND()
      EXITSTATUS=1
      DEALLOCATE(LDATA)
      DEALLOCATE(KAV)
      DEALLOCATE(KAY)
      DEALLOCATE(KAN)
      DEALLOCATE(MCUTS)
      DEALLOCATE(LERROR)
      DEALLOCATE(LLEGERR)
      DEALLOCATE(KCUTTER)
      DEALLOCATE(LCUTTER)
      DEALLOCATE(LLL)
      DEALLOCATE(MDATA)
      DEALLOCATE(ZMAT2)
      DEALLOCATE(WVEC2)
      DEALLOCATE(DSTAR)
      DEALLOCATE(XDATA)
      DEALLOCATE(XXX)
      DEALLOCATE(XMAT0)
      DEALLOCATE(XMAT)
      DEALLOCATE(ZVEC)
      DEALLOCATE(WS)
      DEALLOCATE(XONE)
      DEALLOCATE(XPT)
      DEALLOCATE(ZPT)
      DEALLOCATE(XPROJ)
      DEALLOCATE(ZS)
      DEALLOCATE(YRANK)
      DEALLOCATE(FV1)
      RETURN
        END
!
! ****************************************************************************
!  SUBROUTINE KPCLEAN----CALLED BY MAIN.  THROWS OUT ALL ROLLCALLS BELOW A
!     CUTOFF POINT (XVMIN)--USUALLY .05 OR .025.  THROWS OUT ALL LEGISLATORS
!     WHO HAVE VOTED KVMIN TIMES OR LESS (KVMIN=10 USUALLY).  KNAME(,)--
!     CHARACTER ARRAY HOLDING INFORMATION ON LEGISLATORS IS REARRANGED TO
!     HOLD ONLY INCLUDED LEGISLATORS.  LDATA( , ) IS THEN FILLED WITH THE
!     INCLUDED ROLL CALL VOTES.
! ****************************************************************************
!
      SUBROUTINE KPCLEAN(NUMMEMBERS,NUMVOTES,&
                       NP,NRCALL,XVMIN,KVMIN,IPRINT,KPTSUM,LDATA, &
                       KAV,KAY,KAN)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION KAV(NUMVOTES),KAY(NUMVOTES),KAN(NUMVOTES),&
                LDATA(NUMMEMBERS,NUMVOTES)
!
      INTEGER, ALLOCATABLE :: KD(:)
      INTEGER, ALLOCATABLE :: KMARG(:)
      INTEGER, ALLOCATABLE :: KKSUM(:)
      INTEGER, ALLOCATABLE :: LLSUM(:)
      INTEGER, ALLOCATABLE :: MMSUM(:)
      INTEGER, ALLOCATABLE :: NNSUM(:)
!      CHARACTER, ALLOCATABLE :: LMARG(:)
      ALLOCATE(KD(NUMVOTES))
      ALLOCATE(KMARG(50))
      ALLOCATE(KKSUM(NUMVOTES))
      ALLOCATE(LLSUM(NUMVOTES))
      ALLOCATE(MMSUM(NUMMEMBERS))
      ALLOCATE(NNSUM(NUMMEMBERS))
!      ALLOCATE(LMARG(10))
!
!      IF(IPRINT.EQ.1)THEN
!        WRITE(23,1010)NRCALL,NP,KVMIN,XVMIN
! 1010 FORMAT(3I7,F8.3)
!      ENDIF
      IF(IPRINT.EQ.1) IPRINT=1  !IPRINT hack to get rid of warnings
      DO I=1,NRCALL
        KKSUM(I)=0
        LLSUM(I)=0
      END DO
      DO I=1,50
        KMARG(I)=0
      END DO
!
!      LMARG(1)= '50 - 55   '
!      LMARG(2)= '56 - 60   '
!      LMARG(3)= '61 - 65   '
!      LMARG(4)= '66 - 70   '
!      LMARG(5)= '71 - 75   '
!      LMARG(6)= '76 - 80   '
!      LMARG(7)= '81 - 85   '
!      LMARG(8)= '86 - 90   '
!      LMARG(9)= '91 - 95   '
!      LMARG(10)='96 - 99.5 '
      KPTSUM=0
      NAS=0
      NRS=0
      NOB=0
      NMOB=0
      DO I=1,NP
        ISUM=0
        JSUM=0
        DO J=1,NRCALL
          KD(J)=LDATA(I,J)
          IF(KD(J).EQ.1.OR.KD(J).EQ.2.OR.KD(J).EQ.3)KKSUM(J)=KKSUM(J)+1
          IF(KD(J).EQ.1.OR.KD(J).EQ.2.OR.KD(J).EQ.3)ISUM=ISUM+1
          IF(KD(J).EQ.4.OR.KD(J).EQ.5.OR.KD(J).EQ.6)LLSUM(J)=LLSUM(J)+1
          IF(KD(J).EQ.4.OR.KD(J).EQ.5.OR.KD(J).EQ.6)JSUM=JSUM+1
        END DO
        MMSUM(I)=ISUM
        NNSUM(I)=JSUM
      END DO
      DO I=1,NP
        LL=MMSUM(I)+NNSUM(I)
        IF(LL.GT.KVMIN)NOB=NOB+1
        IF(LL.LE.KVMIN)NMOB=NMOB+1
        IF(LL.LE.KVMIN)GO TO 3
        NAS=0
        NRS=0
        DO J=1,NRCALL
          KD(J)=LDATA(I,J)
          KK=KKSUM(J)+LLSUM(J)
          LL=MIN0(KKSUM(J),LLSUM(J))
!      IF(KD(J).GT.9)STOP
          AA=0.0
          IF(KK.GT.0)AA=FLOAT(LL)/FLOAT(KK)
          IF(AA.GT.XVMIN)NAS=NAS+1
          IF(AA.LE.XVMIN)NRS=NRS+1
          IF(AA.GT.XVMIN)KAV(NAS)=J
          IF(AA.GT.XVMIN)KAY(NAS)=KKSUM(J)
          IF(AA.GT.XVMIN)KAN(NAS)=LLSUM(J)
          IF(AA.LE.XVMIN)GO TO 33
          IF(KD(J).EQ.2.OR.KD(J).EQ.3)KD(J)=1
          IF(KD(J).EQ.4.OR.KD(J).EQ.5)KD(J)=6
          IF(KD(J).EQ.7.OR.KD(J).EQ.8.OR.KD(J).EQ.9)KD(J)=0
          LDATA(NOB,NAS)=KD(J)
          IF(KD(J).NE.0)KPTSUM=KPTSUM+1
 33       CONTINUE
        END DO
 3      CONTINUE
      END DO

      NRCALL=NAS
      NP=NOB
!
!   CALCULATE DISTRIBUTION OF ROLL CALL MARGINS
!
      DO J=1,NRCALL
        KAY(J)=0
        KAN(J)=0
        DO I=1,NP
          IF(LDATA(I,J).EQ.1)KAY(J)=KAY(J)+1
          IF(LDATA(I,J).EQ.6)KAN(J)=KAN(J)+1
        END DO
      END DO
      LLTOT=0
      LLALL=0
      DO J=1,NRCALL
        LL=MAX0(KAY(J),KAN(J))
        LLTOT=LLTOT+LL
        AA=FLOAT(LL)/FLOAT(KAY(J)+KAN(J))
        LLALL=LLALL+KAY(J)+KAN(J)
        IF(AA.GE..50.AND.AA.LE..55)KMARG(1)=KMARG(1)+1
        IF(AA.GT..55.AND.AA.LE..60)KMARG(2)=KMARG(2)+1
        IF(AA.GT..60.AND.AA.LE..65)KMARG(3)=KMARG(3)+1
        IF(AA.GT..65.AND.AA.LE..70)KMARG(4)=KMARG(4)+1
        IF(AA.GT..70.AND.AA.LE..75)KMARG(5)=KMARG(5)+1
        IF(AA.GT..75.AND.AA.LE..80)KMARG(6)=KMARG(6)+1
        IF(AA.GT..80.AND.AA.LE..85)KMARG(7)=KMARG(7)+1
        IF(AA.GT..85.AND.AA.LE..90)KMARG(8)=KMARG(8)+1
        IF(AA.GT..90.AND.AA.LE..95)KMARG(9)=KMARG(9)+1
        IF(AA.GT..95.AND.AA.LE..995)KMARG(10)=KMARG(10)+1
      END DO
!      IF(IPRINT.EQ.1)WRITE(23,1003)
! 1003 FORMAT('  DISTRIBUTION OF SCALABLE ROLL CALLS')
      DO I=1,10
        AA=FLOAT(KMARG(I))/FLOAT(NRCALL)
      END DO
      XSUM=FLOAT(LLTOT)/FLOAT(LLALL)
!      IF(IPRINT.EQ.1)WRITE(23,1004)LLTOT,LLALL,XSUM
! 1004 FORMAT(' AVERAGE MAJORITY MARGIN= ',2I8,F9.5)
      DEALLOCATE(KD)
      DEALLOCATE(KMARG)
      DEALLOCATE(KKSUM)
      DEALLOCATE(LLSUM)
      DEALLOCATE(MMSUM)
      DEALLOCATE(NNSUM)
!      DEALLOCATE(LMARG)
      RETURN
      END
!
! **************************************************************************
!
!  SUBROUTINE KPASCORE -- PERFORMS EIGENVALUE-EIGENVECTOR DECOMPOSITION OF
!                       THE MATRIX OF LEGISLATOR BY LEGISLATOR AGREEMENT
!                       SCORES
!
! **************************************************************************
!
      SUBROUTINE KPASCORE(NUMMEMBERS,NUMVOTES,&
                        NPMAX,NP,NPKADD,KADD,NRCALL,NS,NDUAL,KIO, &
                        IPRINT,ZMAT2,WVEC2,DSTAR,LDATA)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION WVEC2(NPMAX),ZMAT2(NPMAX,NPMAX), &
                          DSTAR(NPMAX,NPMAX),&
                          LDATA(NUMMEMBERS,NUMVOTES)
!
      DOUBLE PRECISION, ALLOCATABLE :: XCOL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XROW(:)
      INTEGER, ALLOCATABLE :: KROW(:)
      INTEGER, ALLOCATABLE :: IWORK(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV1(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV2(:)
      DOUBLE PRECISION, ALLOCATABLE :: XAGREE(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ROWMEAN(:)
      DOUBLE PRECISION, ALLOCATABLE :: WORK(:)
      DOUBLE PRECISION, ALLOCATABLE :: YCENTER(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: VVV(:,:)
      ALLOCATE(XCOL(NRCALL))
      ALLOCATE(XROW(NPMAX))
      ALLOCATE(KROW(NPMAX))
      ALLOCATE(IWORK(8*NPMAX))
      ALLOCATE(FV1(NPMAX))
      ALLOCATE(FV2(NPMAX))
      ALLOCATE(XAGREE(NPMAX,NPMAX))
      ALLOCATE(ROWMEAN(NPMAX))
      ALLOCATE(WORK(8*NPMAX*NPMAX+1875))
      ALLOCATE(YCENTER(NPMAX,NPMAX))
      ALLOCATE(VVV(NPMAX,NPMAX))
!
      LWORK=8*NPMAX*NPMAX+1875
      KPDUDE=NP
!  101 FORMAT(' PERFORMANCE INDEX EIGENVALUE/VECTOR ROUTINE=' &
!             ,3I5,I6)
!  102 FORMAT(I4,9F10.4)
! 1000 FORMAT(3F10.4)
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      IF(NS.EQ.1) NS=1  !hack to get rid of warnings
      IF(KIO.EQ.1) KIO=1  !hack to get rid of warnings
      IF(NDUAL.EQ.1) NDUAL=1  !hack to get rid of warnings
      CALL ECHOEVENT(9)
      CALL FLUSHCON()
      CALL PROCEVENT()
      DO I=1,NRCALL
        XCOL(I)=0.0
      END DO
      DO I=1,NPKADD
        XROW(I)=0.0
        KROW(I)=0
        ROWMEAN(I)=0.0
      END DO
!
!  PERFORM THE PSEUDO-DOUBLE CENTER
!
!  CALCULATE THE ROLL CALL MEANS (#YEAS/#VOTING)
!
      XMAT=0.0
      KMAT=0
      XCHK1=0.0
      DO J=1,NRCALL
        SUM=0.0
        KK=0
        DO I=1,NPKADD
          IF(LDATA(I+KADD,J).NE.0)THEN
             KK=KK+1
             KROW(I)=KROW(I)+1
          ENDIF
          IF(LDATA(I+KADD,J).EQ.1)THEN
             SUM=SUM+1.0
             XROW(I)=XROW(I)+1.0
          ENDIF
        END DO
        XMAT=XMAT+SUM
        KMAT=KMAT+KK
        XCOL(J)=SUM/FLOAT(KK)
        XCHK1=XCHK1+XCOL(J)
      END DO
      XCHK2=0.0
      DO I=1,NPKADD
        XROW(I)=XROW(I)/FLOAT(KROW(I))
        XCHK2=XCHK2+XROW(I)
      END DO
!
!  MATRIX MEAN
!
      XCHK1=XCHK1/FLOAT(NRCALL)
      XCHK2=XCHK2/FLOAT(NPKADD)
      XMAT=XMAT/FLOAT(KMAT)
!      IF(IPRINT.EQ.1)WRITE(23,1000)XCHK1,XCHK2,XMAT
!
!  COMPUTE HECKMAN-SNYDER COVARIANCE MATRIX
!
      ALLMEAN=0.0
      KZERO=0
      DO I=1,NPKADD
        RSUM=0.0
        DO J=1,NPKADD
          SUM=0.0
          KK=0
          KKK=0
          DO K=1,NRCALL
            IF(LDATA(I+KADD,K).EQ.0)GO TO 9
            IF(LDATA(J+KADD,K).EQ.0)GO TO 9
            KK=KK+1
!
!  SET UP SYMMETRIC MATRIX OF AGREEMENT SCORES
!
            IF(LDATA(I+KADD,K).EQ.LDATA(J+KADD,K))THEN
               KKK=KKK+1
            ENDIF
 9          CONTINUE
          END DO
          IF(KK.EQ.0)THEN
             XAGREE(I,J)=0.25
             DSTAR(I,J)=1.0
             GO TO 88
          ENDIF
          XAGREE(I,J)=(1.0 - (FLOAT(KKK)/FLOAT(KK)))**2
          DSTAR(I,J)=(100.0 - (FLOAT(KKK)/FLOAT(KK))*100.0)/50.0
 88       CONTINUE
          RSUM=RSUM+XAGREE(I,J)
        END DO
        ROWMEAN(I)=RSUM/FLOAT(NPKADD)
        ALLMEAN=ALLMEAN+ROWMEAN(I)
      END DO
      ALLMEAN=ALLMEAN/FLOAT(NPKADD)
!
!  SETUP DOUBLE-CENTERED AGREEMENT SCORE MATRIX
!
      DO I=1,NPKADD
        DO J=1,NPKADD
          YCENTER(I,J)=(XAGREE(I,J)-ROWMEAN(I)-ROWMEAN(J)+ALLMEAN)/(-2.0)
        END DO
      END DO
!
!
!  EIGENVECTOR-EIGENVALUE DECOMPOSITION DOUBLE-CENTERED AGREEMENT
!     SCORE MATRIX
!
!
!  CALL SINGULAR VALUE DECOMPOSITION ROUTINE
!
!      CALL LSVRR(NP,NS,Y16MIDP,NP,21,XTOL,IRANK,YHAT,Y16MIDP,
!     C           NP,VVV,25)
!      SUBROUTINE DGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK,
!                         LWORK, IWORK, INFO )
      CALL DGESDD('S',NPKADD,NPKADD,YCENTER,NPMAX,WVEC2,ZMAT2, &
                 NPMAX,VVV,NPMAX,WORK,LWORK,IWORK,IRANK)
!
!
!  RIGHT WAY -- DGESDD RETURNS V_transpose, NOT V, SO THE
!               S_th ROW IS TRANSFERRED
!
!      ZVEC(JX,K)=VVV(NS,K)
!
!      IF(IPRINT.EQ.1)WRITE(23,101)NS,NPMAX,NPKADD,IRANK
      SUM2=0.0
      DO I=1,NPKADD
!      IF(IPRINT.EQ.1)WRITE(23,102)I,WVEC2(I)
        SUM2=SUM2+ABS(WVEC2(I))
      END DO
      YPER2=0.0
      IZULU=MIN(NPKADD,10)
      DO I=1,IZULU
        XPER2=(ABS(WVEC2(I))/SUM2)*100.0
        YPER2=YPER2+XPER2
!      IF(IPRINT.EQ.1)WRITE(23,102)I,WVEC2(I),XPER2,YPER2
!      IF(IPRINT.EQ.1)WRITE(*,102)I,WVEC2(I),XPER2,YPER2
      END DO
      DEALLOCATE(XCOL)
      DEALLOCATE(XROW)
      DEALLOCATE(KROW)
      DEALLOCATE(FV1)
      DEALLOCATE(FV2)
      DEALLOCATE(XAGREE)
      DEALLOCATE(ROWMEAN)
      DEALLOCATE(YCENTER)
      DEALLOCATE(VVV)
      DEALLOCATE(WORK)
      DEALLOCATE(IWORK)
      RETURN
      END
!
!
!  *************************************************************************
!   SUBROUTINE KPWHOOPE---IMPLEMENTS THE CONDITIONAL GLOBAL MINIMUM ALGORITHM
!   DEVELOPED BY POOLE, "LEAST SQUARES METRIC, UNIDIMENSIONAL UNFOLDING,"
!   PSYCHOMETRIKA, 1984.
!  *************************************************************************
!
!
      SUBROUTINE KPWHOOPE(NUMMEMBERS,NPMAX,NP,NS,DSTAR,ZZZ,XX,&
                                           SSE1,SSE2,KTP,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION DSTAR(NPMAX,NPMAX),ZZZ(NUMMEMBERS),XX(NUMMEMBERS,25)
      DOUBLE PRECISION SUM
!
      DOUBLE PRECISION, ALLOCATABLE :: DAT(:)
      DOUBLE PRECISION, ALLOCATABLE :: SAVEZ(:)
      DOUBLE PRECISION, ALLOCATABLE :: SAVED(:)
      DOUBLE PRECISION, ALLOCATABLE :: XXXX(:,:)
      ALLOCATE(SAVEZ(NP))
      ALLOCATE(SAVED(NP))
      ALLOCATE(XXXX(NP,25))
      ALLOCATE(DAT(20))
!
!  100 FORMAT(I4,3F12.5,I8)
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      IF(NS.EQ.1) NS=1  !hack to get rid of warnings
      KTP=1
      NPQ=NP-1
      CALL STATKP(NUMMEMBERS,NPMAX,NP,NS,DSTAR,ZZZ,XX,SSE1,RRSQ,KK)
      DAT(1)=SSE1
      II=0
      AKKK=0.0
      IF(SSE1.LE.0.001)SSE2=0.0
      IF(SSE1.LE.0.001) THEN
        DEALLOCATE(SAVEZ)
        DEALLOCATE(SAVED)
        DEALLOCATE(XXXX)
        DEALLOCATE(DAT)
        RETURN
      ENDIF
      DO II=1,10
        KTP=II
        DO J=1,NP
          NPJ=J
          KK=0
          DO JJ=1,NP
            IF(JJ.EQ.NPJ)GO TO 918
            KK=KK+1
            DO K=1,NS
              XXXX(KK,K)=XX(JJ,K)
            END DO
            SAVEZ(KK)=ZZZ(JJ)
            SAVED(KK)=DSTAR(NPJ,JJ)
 918        CONTINUE
          END DO
!          IF(NS.EQ.1)CALL KPFOCUSW(NUMMEMBERS,NPMAX,NP,NPQ,NPJ,SAVED,&
!                                                             SAVEZ,ZZZ)
          IF(NS.GT.1)CALL KPFOCUS(NUMMEMBERS,NPMAX,NP,NPQ,NS,NPJ,SAVED,&
                                                               XX,XXXX)
        END DO
        CALL STATKP(NUMMEMBERS,NPMAX,NP,NS,DSTAR,ZZZ,XX,SSE2,RRSQ,KK)
        DAT(II+1)=SSE2
        IF(SSE2.EQ.0.0)GO TO 9998
        AKKK=(DAT(II)-DAT(II+1))/DAT(II)
        IF(AKKK.LE..001)GO TO 9998
      END DO
 9998 CONTINUE
      SUM=0.0
      DO I=1,NP
        SUM=SUM+ZZZ(I)
      END DO
      DO I=1,NP
        ZZZ(I)=ZZZ(I)-(SUM/FLOAT(NP))
      END DO
      DEALLOCATE(SAVEZ)
      DEALLOCATE(SAVED)
      DEALLOCATE(XXXX)
      DEALLOCATE(DAT)
      RETURN
      END
!
!
!  *********************************************************************
!    SUBROUTINE KPFOCUSW---PERFORMS LEAST SQUARES METRIC SIMILARITIES
!    ANALYSIS USING THE CONDITIONAL GLOBAL MINIMUM ALGORITHM
!  *********************************************************************
!
!
      SUBROUTINE KPFOCUSW(NUMMEMBERS,NPMAX,NPT,NP,II,D,X,Z)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION D(NPT),X(NPT),Z(NUMMEMBERS)
!
      INTEGER, ALLOCATABLE :: LL(:)
      DOUBLE PRECISION, ALLOCATABLE :: Q(:)
      DOUBLE PRECISION, ALLOCATABLE :: XX(:,:)
      ALLOCATE ( LL(NPT) )
      ALLOCATE ( Q(NPT) )
      ALLOCATE ( XX(NPT,2) )
!
      KPDUDE=NPMAX
      DO I=1,NP
        LL(I)=I
        Q(I)=X(I)
      END DO
      CALL KPRSORT(Q,NP,LL)
      ASUM=0.0
      BSUM=0.0
      WWSUM=0.0
      DO I=1,NP
        IF(D(LL(I)).EQ.99.0)GO TO 66
        XX(I,1)=Q(I)-D(LL(I))
        XX(I,2)=Q(I)+D(LL(I))
        WWSUM=WWSUM+1.0
        ASUM=ASUM+XX(I,1)
        BSUM=BSUM+XX(I,1)**2
 66     CONTINUE
      END DO
      AA=WWSUM*BSUM-ASUM*ASUM
      KK=1
      DO I=1,NP
        IF(D(LL(I)).EQ.99.0)GO TO 77
        ASUM=ASUM-XX(I,1)+XX(I,2)
        BSUM=BSUM-XX(I,1)**2+XX(I,2)**2
        BB=WWSUM*BSUM-ASUM*ASUM
        CC=MIN(AA,BB)
        IF(ABS(CC-AA).LE..00001.AND.KK.GT.1)GO TO 88
        IF(ABS(CC-AA).LE..00001.AND.KK.EQ.1)Z(II)= &
                             (ASUM+XX(I,1)-XX(I,2))/WWSUM
        IF(ABS(CC-BB).LE..00001)Z(II)=ASUM/WWSUM
 88     AA=CC
        KK=KK+1
 77     CONTINUE
      END DO
      DEALLOCATE (LL)
      DEALLOCATE (Q)
      DEALLOCATE (XX)
      RETURN
      END
!
!
!
!  **********************************************************************
!     SUBROUTINE STATKP--COMPUTES THE SUM OF SQUARED ERROR BETWEEN THE
!         THE INPUT DISTANCE MATRIX AND THE CURRENT DISTANCE MATRIX.
!  **********************************************************************
!
!
      SUBROUTINE STATKP(NUMMEMBERS,NPMAX,NP,NS,DSTAR,ZZZ,XX,SSE,&
                                    RRSQ,KK)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION DSTAR(NPMAX,NPMAX),ZZZ(NUMMEMBERS),XX(NUMMEMBERS,25)
!
!  100 FORMAT(2I5)
!  125 FORMAT(I4,10F7.3)
      SSE=0.0
      ASUM=0.0
      BSUM=0.0
      CSUM=0.0
      DSUM=0.0
      ESUM=0.0
      KK=0
      DO I=1,NP
        DO J=1,I
          IF(I.EQ.J)GO TO 2
          IF(DSTAR(I,J).EQ.99.0)GO TO 2
          KK=KK+1
          IF(NS.EQ.1)AA=ABS(ZZZ(I)-ZZZ(J))
          IF(NS.EQ.1)GO TO 10
          SSUMS=0.0
          DO K=1,NS
            SSUMS=SSUMS+(XX(I,K)-XX(J,K))**2
          END DO
          SSUMS=SQRT(SSUMS)
          AA=SSUMS
 10       CONTINUE
          ASUM=ASUM+AA
          BSUM=BSUM+DSTAR(I,J)
          CSUM=CSUM+AA*AA
          DSUM=DSUM+DSTAR(I,J)**2
          ESUM=ESUM+AA*DSTAR(I,J)
          SSE=SSE+(DSTAR(I,J)-AA)**2
 2        CONTINUE
        END DO
      END DO
      AA=FLOAT(KK)*ESUM-ASUM*BSUM
      BB=FLOAT(KK)*CSUM-ASUM*ASUM
      CC=FLOAT(KK)*DSUM-BSUM*BSUM
      RRSQ=(AA*AA)/(BB*CC)
      RETURN
      END
!
!
!  *********************************************************************
!    SUBROUTINE KPFOCUS IS A QUASI-GRADIENT ALGORITHM.  IT COMPUTES THE
!    COORDINATES
!  *********************************************************************
!
!
      SUBROUTINE KPFOCUS(NUMMEMBERS,NPMAX,NP,NPQ,NS,II,D,XX,XXXX)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION D(NP),XX(NUMMEMBERS,25),XXXX(NP,25)
      DOUBLE PRECISION, ALLOCATABLE :: ZZZ(:)
      ALLOCATE(ZZZ(100))
      KPDUDE=NPMAX
      DO J=1,NS
        ZZZ(J)=0.0
      END DO
      KK=0
      DO J=1,NPQ
        IF(D(J).EQ.99.0)GO TO 4
        KK=KK+1
        SUM=0.0
        DO K=1,NS
          SUM=SUM+(XXXX(J,K)-XX(II,K))**2
        END DO
        IF(SUM.LE..00001)THEN
           XC=1.0
           GO TO 52
        ENDIF
        XC=D(J)/SQRT(SUM)
 52     CONTINUE
        DO K=1,NS
          ZZZ(K)=ZZZ(K)+XXXX(J,K)+XC*(XX(II,K)-XXXX(J,K))
        END DO
 4      CONTINUE
      END DO
!      IF(KK.EQ.0)WRITE(23,310)II
!      IF(KK.EQ.0)STOP
!  310 FORMAT(' THIS IS YOUR PROBLEM STUPID!!!',I6)
      DO K=1,NS
        XX(II,K)=ZZZ(K)/FLOAT(KK)
      END DO
      DEALLOCATE(ZZZ)
      RETURN
      END
!
!
!
!  ************************************************************************
!    SUBROUTINE KPRSORT --SORTS A VECTOR 'A' OF REAL ELEMENTS INTO ASCENDING
!    ORDER.  'LA' IS THE NUMBER OF ELEMENTS TO BE SORTED AND 'IR' IS A
!    VECTOR OF INTEGERS THAT RECORDS THE PERMUTATIONS--USUALLY SET TO
!    1,2,3,4,...
!  ************************************************************************
!
!
      SUBROUTINE KPRSORT(A,LA,IR)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION A(LA),IU(21),IL(21),IR(LA)
      IF (LA.LE.0) RETURN
      M = 1
      I = 1
      J = LA
      R = .375
 5    IF (I.EQ.J) GO TO 45
      IF (R.GT..5898437) GO TO 10
      R = R+3.90625E-2
      GO TO 15
 10   R = R-.21875
 15   K = I
!
! SELECT A CENTRAL ELEMENT OF THE
! ARRAY AND SAVE IT IN LOCATION T
!
      IJ = idint(I+(J-I)*R)
      T = A(IJ)
      IT = IR(IJ)
!
! FIRST ELEMENT OF ARRAY IS GREATER
! THAN T, INTERCHANGE WITH T
!
      IF (A(I).LE.T) GO TO 20
      A(IJ) = A(I)
      A(I) = T
      T = A(IJ)
      IR(IJ) = IR(I)
      IR(I) = IT
      IT = IR(IJ)
 20   L = J
!
! IF LAST ELEMENT OF ARRAY IS LESS THAN
! T, INTERCHANGE WITH T
!
      IF (A(J).GE.T) GO TO 30
      A(IJ) = A(J)
      A(J) = T
      T = A(IJ)
      IR(IJ) = IR(J)
      IR(J) = IT
      IT = IR(IJ)
!
! IF FIRST ELEMENT OF ARRAY IS GREATER
! THAN T, INTERCHANGE WITH T
!
      IF (A(I).LE.T) GO TO 30
      A(IJ) = A(I)
      A(I) = T
      T = A(IJ)
      IR(IJ) = IR(I)
      IR(I) = IT
      IT = IR(IJ)
      GO TO 30
 25   IF (A(L).EQ.A(K)) GO TO 30
      TT = A(L)
      A(L) = A(K)
      A(K) = TT
      ITT = IR(L)
      IR(L) = IR(K)
      IR(K) = ITT
!
! FIND AN ELEMENT IN THE SECOND HALF OF
! THE ARRAY WHICH IS SMALLER THAN T
!
 30   L = L-1
      IF (A(L).GT.T) GO TO 30
!
! FIND AN ELEMENT IN THE FIRST HALF OF
! THE ARRAY WHICH IS GREATER THAN T
!
 35   K = K+1
      IF (A(K).LT.T) GO TO 35
!
! INTERCHANGE THESE ELEMENTS
!
      IF (K.LE.L) GO TO 25
!
! SAVE UPPER AND LOWER SUBSCRIPTS OF
! THE ARRAY YET TO BE SORTED
!
      IF (L-I.LE.J-K) GO TO 40
      IL(M) = I
      IU(M) = L
      I = K
      M = M+1
      GO TO 50
 40   IL(M) = K
      IU(M) = J
      J = L
      M = M+1
      GO TO 50
!
! BEGIN AGAIN ON ANOTHER PORTION OF
! THE UNSORTED ARRAY
!
 45   M = M-1
      IF (M.EQ.0) RETURN
      I = IL(M)
      J = IU(M)
 50   IF (J-I.GE.11) GO TO 15
      IF (I.EQ.1) GO TO 5
      I = I-1
 55   I = I+1
      IF (I.EQ.J) GO TO 45
      T = A(I+1)
      IT = IR(I+1)
      IF (A(I).LE.T) GO TO 55
      K = I
 60   A(K+1) = A(K)
      IR(K+1) = IR(K)
      K = K-1
      IF (T.LT.A(K)) GO TO 60
      A(K+1) = T
      IR(K+1) = IT
      GO TO 55
      END
!
! *********************************************************************
!   SUBROUTINE KPCUTPLANE -- FINDS CUTTING LINE USING THE CUTTING
!                            PLANE PROCEDURE
! *********************************************************************
!
!
      SUBROUTINE KPCUTPLANE(NUMMEMBERS,NUMVOTES,&
                            JJJ,NP,NRCALL,NS,NDUAL,XMAT,ZVEC,WS, &
                            MCUTS,LERROR,IFIXX,KTT,KT,LDATA,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),ZVEC(NUMVOTES,25),WS(NDUAL), &
                LERROR(NUMMEMBERS,NUMVOTES),&
                MCUTS(NUMVOTES,2),LDATA(NUMMEMBERS,NUMVOTES)
!
      DOUBLE PRECISION, ALLOCATABLE :: XJCH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XPROJ(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXY(:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZS(:)
      INTEGER, ALLOCATABLE :: LLL(:)
      INTEGER, ALLOCATABLE :: MM(:)
      INTEGER, ALLOCATABLE :: MVOTE(:)
      INTEGER, ALLOCATABLE :: LLV(:)
      INTEGER, ALLOCATABLE :: LLVB(:)
      INTEGER, ALLOCATABLE :: LLE(:)
      INTEGER, ALLOCATABLE :: LLEB(:)
      INTEGER, ALLOCATABLE :: LCERROR(:,:)
      ALLOCATE(XJCH(25))
      ALLOCATE(XJEH(25))
      ALLOCATE(XJCL(25))
      ALLOCATE(XJEL(25))
      ALLOCATE(XPROJ(NUMMEMBERS,NUMVOTES))
      ALLOCATE(XXY(NP))
      ALLOCATE(XXX(NDUAL))
      ALLOCATE(LLL(NDUAL))
      ALLOCATE(MM(NDUAL))
      ALLOCATE(MVOTE(NDUAL))
      ALLOCATE(LLV(NDUAL))
      ALLOCATE(LLVB(NDUAL))
      ALLOCATE(LLE(NDUAL))
      ALLOCATE(LLEB(NDUAL))
      ALLOCATE(LCERROR(NP,NRCALL))
      ALLOCATE(ZS(NDUAL))
!
      CALL ECHOEVENT(11)
      CALL FLUSHCON()
      CALL PROCEVENT()
      NCUT=25
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      IF(IFIXX.EQ.1) IFIXX=1  !hack to get rid of warnings
!
!   ESTIMATE PROJECTION VECTORS
!
      IF(JJJ.EQ.1)THEN
         DO JX=1,NRCALL
           DO I=1,NP
             LERROR(I,JX)=0
           END DO
         END DO
      ENDIF
      KCHECK4=0
      DO JX=1,NRCALL
        DO I=1,NP
          LCERROR(I,JX)=LERROR(I,JX)
          IF(LDATA(I,JX).EQ.0)GO TO 283
          KCHECK4=KCHECK4+LERROR(I,JX)
 283      CONTINUE
        END DO
      END DO
!
      KT=0
      KTT=0
      KTTSAVE=0
      KTSAVE=0
      KCHECK=0
      DO JX=1,NRCALL
!
!  GET YES AND NO COUNTS
!
        KYES=0
        KNO=0
        DO I=1,NP
          IF(LDATA(I,JX).EQ.1)KYES=KYES+1
          IF(LDATA(I,JX).EQ.6)KNO=KNO+1
        END DO
!
        DO I=1,NP
          SUM=0.0
          DO K=1,NS
            SUM=SUM+XMAT(I,K)*ZVEC(JX,K)
          END DO
!
!  SAVE PROJECTION VECTORS -- LEGISLATOR BY ROLL CALL MATRIX
!
          XPROJ(I,JX)=SUM
          XXY(I)=SUM
          LLL(I)=I
          XXX(I)=SUM
          MM(I)=LDATA(I,JX)
          IF(LDATA(I,JX).EQ.0)MM(I)=9
        END DO
!
!  SORT PROJECTION VECTOR (Y-HAT)
!
        CALL KPRSORT(XXX,NP,LLL)
        DO I=1,NP
          MVOTE(I)=MM(LLL(I))
        END DO
!
!
!  CALCULATE CLASSIFICATION ERRORS OF PROJECTION ONTO NORMAL VECTOR
!
!
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        IROTC=0
        CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                    NP,NRCALL,NP,NRCALL,NS,NDUAL,JX,XMAT,XXX,MVOTE,WS, &
                    LLV,LLVB,LLE,LLEB,LERROR, &
                    ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LLL, &
                    XJCH,XJEH,XJCL,XJEL)
!
!      IF(IPRINT.EQ.1)WRITE(*,3909)JX,KYES,KNO,JCH,JCL,JEH,JEL, &
!                      KCUT,LCUT,(ZVEC(JX,K),K=1,NS),WS(JX)
! 3909 FORMAT(I3,'***',6I4,2I2,10F7.3)
        IF(JEH+JEL.EQ.0)THEN
           KT=KT+JCH+JEH+JCL+JEL
           KTSAVE=KTSAVE+JCH+JEH+JCL+JEL
           KITTY1=0
           KITTY2=JCH+JEH+JCL+JEL
           IJUST=0
           GO TO 9377
        ENDIF
!
!  SET-UP FOR GRID SEARCH FOR BEST CUTTING LINE
!
        CALL KPSEARCH(NUMMEMBERS,NUMVOTES,&
                      JX,NCUT,NS,NP,NRCALL,NDUAL,KCUT,LCUT,KTT,KT, &
                    XMAT,ZVEC,XPROJ,WS,XXY, &
                    KITTY1,KITTY2,KYES,KNO,LDATA,LERROR,IPRINT)
!
        KTTSAVE=KTTSAVE+KITTY1
        KTSAVE=KTSAVE+KITTY2
!
 9377   CONTINUE
!
!  STORE DIRECTIONALITY OF ROLL CALL
!
        MCUTS(JX,1)=KCUT
        MCUTS(JX,2)=LCUT
!
!
!  LOCATE ERRORS -- WS(.) CONTAINS THE OPTIMAL CUTTING POINT ON THE
!                   PROJECTION VECTOR -- IT CAN BE USED TO CALCULATE THE
!                   CLASSIFICATION ERRORS
!
        KSUM=0
        DO I=1,NP
          LERROR(I,JX)=0
          XXX(I)=XXY(I)
          LLL(I)=I
          IF(LDATA(I,JX).EQ.0)GO TO 108
          IF(XXY(I).LT.WS(JX))THEN
             IF(LDATA(I,JX).NE.KCUT)THEN
                LERROR(I,JX)=1
                KCHECK=KCHECK+1
                KSUM=KSUM+1
             ENDIF
          ENDIF
          IF(XXY(I).GT.WS(JX))THEN
             IF(LDATA(I,JX).NE.LCUT)THEN
                LERROR(I,JX)=1
                KCHECK=KCHECK+1
                KSUM=KSUM+1
             ENDIF
          ENDIF
 108      CONTINUE
        END DO
!      IF(KSUM.NE.KITTY1)THEN
!         IF(IPRINT.EQ.1)WRITE(11,1010)
!      ENDIF
        KXERROR=KITTY1
        JXERROR=KITTY1
        SAVEWS=WS(JX)
        XINC=0.2
        CALL KPRSEARCH(NUMMEMBERS,NUMVOTES,&
                       NP,NRCALL,NS,NDUAL,XINC,JX,NCUT,KPCUT,LPCUT, &
                     XMAT,ZVEC,WS,KDOWN,KEQUAL,KUP,JXERROR,WSNEW, &
                     LDATA,LERROR)

        IF(JXERROR.EQ.KXERROR)THEN
           WS(JX)=SAVEWS
        ENDIF
!
!  RESET LERROR(,)
!
        IF(JXERROR.LT.KXERROR)THEN
           KTTSAVE=KTTSAVE-KITTY1+JXERROR
           WS(JX)=WSNEW
           SAVEWS=WS(JX)
           MCUTS(JX,1)=KPCUT
           MCUTS(JX,2)=LPCUT
           KCHECK3=0
           DO I=1,NP
             SUMI=0.0
             DO K=1,NS
               SUMI=SUMI+XMAT(I,K)*ZVEC(JX,K)
             END DO
             KCUT=MCUTS(JX,1)
             LCUT=MCUTS(JX,2)
             LERROR(I,JX)=0
             IF(LDATA(I,JX).EQ.0)GO TO 191
             IF(SUMI.LT.WS(JX))THEN
                IF(LDATA(I,JX).NE.KCUT)THEN
                   LERROR(I,JX)=1
                   KCHECK3=KCHECK3+1
                ENDIF
             ENDIF
             IF(SUMI.GT.WS(JX))THEN
                IF(LDATA(I,JX).NE.LCUT)THEN
                   LERROR(I,JX)=1
                   KCHECK3=KCHECK3+1
                ENDIF
             ENDIF
 191         CONTINUE
           END DO
           KXERROR=JXERROR
        ENDIF
!
        IF(JXERROR.GE.KXERROR)THEN
           KCHECK33=0
           DO I=1,NP
             SUMI=0.0
             DO K=1,NS
               SUMI=SUMI+XMAT(I,K)*ZVEC(JX,K)
             END DO
             KCUT=MCUTS(JX,1)
             LCUT=MCUTS(JX,2)
             LERROR(I,JX)=0
             IF(LDATA(I,JX).EQ.0)GO TO 391
             IF(SUMI.LT.WS(JX))THEN
                IF(LDATA(I,JX).NE.KCUT)THEN
                   LERROR(I,JX)=1
                   KCHECK33=KCHECK33+1
                ENDIF
             ENDIF
             IF(SUMI.GT.WS(JX))THEN
                IF(LDATA(I,JX).NE.LCUT)THEN
                   LERROR(I,JX)=1
                   KCHECK33=KCHECK33+1
                ENDIF
             ENDIF
 391         CONTINUE
           END DO
        ENDIF
!
!      WRITE(38,1118)JX,JJJ,KYES,KNO,KITTY1,JXERROR,KCHECK3,
!     C                XINC,KDOWN,KEQUAL,KUP
      END DO
!
      KT=KTSAVE
      KTT=KTTSAVE
      KCHECK2=0
      KCHECK22=0
      DO I=1,NP
        DO JX=1,NRCALL
          IF(LDATA(I,JX).EQ.0)GO TO 281
          KCHECK2=KCHECK2+LERROR(I,JX)
          KCHECK22=KCHECK22+LCERROR(I,JX)
 281      CONTINUE
        END DO
      END DO
!      IF(IPRINT.EQ.1)THEN
!         WRITE(23,1093)NS,KCHECK,KCHECK2,KCHECK22,KCHECK4
!      ENDIF
      IF(KT.GT.0)THEN
        XERROR=FLOAT(KTT)/FLOAT(KT)
        YERROR=1.0-XERROR
      ENDIF
!      IF(IPRINT.EQ.1)WRITE(23,1094)JJJ,NS,KTT,KT,XERROR,YERROR
      DEALLOCATE(XJCH)
      DEALLOCATE(XJEH)
      DEALLOCATE(XJCL)
      DEALLOCATE(XJEL)
      DEALLOCATE(XPROJ)
      DEALLOCATE(XXY)
      DEALLOCATE(XXX)
      DEALLOCATE(LLL)
      DEALLOCATE(MM)
      DEALLOCATE(MVOTE)
      DEALLOCATE(LLV)
      DEALLOCATE(LLVB)
      DEALLOCATE(LLE)
      DEALLOCATE(LLEB)
      DEALLOCATE(LCERROR)
      DEALLOCATE(ZS)
      RETURN
      END
!
!  ************************************************************************
!    SUBROUTINE KPSEARCH
!  ************************************************************************
!
      SUBROUTINE KPSEARCH(NUMMEMBERS,NUMVOTES,&
                        JX,NCUT,NS,NP,NRCALL,NDUAL,KCUT,LCUT, &
                        KTT,KT,XMAT,ZVEC,XPROJ,WS,XXY, &
                        KITTY1,KITTY2,KYES,KNO,LDATA, &
                        LERROR,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),ZVEC(NUMVOTES,25),&
                LERROR(NUMMEMBERS,NUMVOTES),&
                XPROJ(NUMMEMBERS,NUMVOTES),WS(NDUAL),XXY(NP),&
                LDATA(NUMMEMBERS,NUMVOTES)
      DOUBLE PRECISION SUM
!
      INTEGER, ALLOCATABLE :: KKKCUT(:)
      INTEGER, ALLOCATABLE :: LLLCUT(:)
      INTEGER, ALLOCATABLE :: LLV(:)
      INTEGER, ALLOCATABLE :: LLVB(:)
      INTEGER, ALLOCATABLE :: LLE(:)
      INTEGER, ALLOCATABLE :: LLEB(:)
      INTEGER, ALLOCATABLE :: LWRONG(:)
      INTEGER, ALLOCATABLE :: LLL(:)
      INTEGER, ALLOCATABLE :: MVOTE(:)
      INTEGER, ALLOCATABLE :: LLM(:)
      INTEGER, ALLOCATABLE :: LLN(:)
      INTEGER, ALLOCATABLE :: MM(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEL(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZS(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV1(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV2(:)
      DOUBLE PRECISION, ALLOCATABLE :: SUMX(:)
      DOUBLE PRECISION, ALLOCATABLE :: UUUU(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: IWORK(:)
      DOUBLE PRECISION, ALLOCATABLE ::  Y16MIDP(:,:)
      DOUBLE PRECISION, ALLOCATABLE ::  YHAT(:)
      DOUBLE PRECISION, ALLOCATABLE ::  Z16MIDP(:,:)
      DOUBLE PRECISION, ALLOCATABLE ::  VVV(:,:)
      DOUBLE PRECISION, ALLOCATABLE ::  WORK(:)
      DOUBLE PRECISION, ALLOCATABLE ::  X16MIDP(:,:)
      ALLOCATE(KKKCUT(NDUAL))
      ALLOCATE(LLLCUT(NDUAL))
      ALLOCATE(LLV(NDUAL))
      ALLOCATE(LLVB(NDUAL))
      ALLOCATE(LLE(NDUAL))
      ALLOCATE(LLEB(NDUAL))
      ALLOCATE(LWRONG(NDUAL))
      ALLOCATE(LLL(NDUAL))
      ALLOCATE(MVOTE(NDUAL))
      ALLOCATE(LLM(NDUAL))
      ALLOCATE(LLN(NDUAL))
      ALLOCATE(MM(NDUAL))
      ALLOCATE(XJCH(25))
      ALLOCATE(XJEH(25))
      ALLOCATE(XJCL(25))
      ALLOCATE(XJEL(25))
      ALLOCATE(ZS(NDUAL))
      ALLOCATE(FV1(NDUAL))
      ALLOCATE(FV2(NDUAL))
      ALLOCATE(SUMX(NDUAL))
      ALLOCATE(UUUU(NDUAL,25))
      ALLOCATE(XXX(NDUAL))
      ALLOCATE(IWORK(200))
      ALLOCATE(Y16MIDP(NDUAL,25))
      ALLOCATE(YHAT(NDUAL))
      ALLOCATE(Z16MIDP(NDUAL,25))
      ALLOCATE(VVV(25,25))
      ALLOCATE(WORK(2*NUMMEMBERS+1875))
      ALLOCATE(X16MIDP(NDUAL,25))
!
!  104 FORMAT(I5,10F10.4)
!  210 FORMAT(I5,10F12.3)
! 1091 FORMAT(' INVERSE MATRIX ERROR',I4,I5,I8,2F10.4)
! 1099 FORMAT(I3,I5,I3,2I4)
! 1103 FORMAT(' MIDPOINT DECOMPOSITION',5I6)
! 1212 FORMAT(I3,I5,7I4)
! 3909 FORMAT(I5,I3,6I4,2I8,5I5)
!
      IF(KNO.EQ.1) KNO=1  !hack to get rid of warnings
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      IF(KYES.EQ.1) KYES=1  !hack to get rid of warnings
      DO I=1,50
        SUMX(I)=0.0
      END DO
!
!  PHASE 2
!
!      NCUT2=20
!
      DO IJL=1,NCUT
!
!  SET-UP FOR PHASE 2
!
!
        DO K=1,NS
          UUUU(IJL,K)=ZVEC(JX,K)
        END DO
        DO I=1,NP
          SUM=0.0
          DO K=1,NS
            SUM=SUM+XMAT(I,K)*ZVEC(JX,K)
          END DO
!
!  SAVE PROJECTION VECTORS -- LEGISLATOR BY ROLL CALL MATRIX
!
          XPROJ(I,JX)=SUM
          XXY(I)=SUM
          LLL(I)=I
          XXX(I)=SUM
          MM(I)=LDATA(I,JX)
          IF(LDATA(I,JX).EQ.0)MM(I)=9
        END DO
!
!  SORT PROJECTION VECTOR (Y-HAT)
!
!
        CALL KPRSORT(XXX,NP,LLL)
        DO I=1,NP
          MVOTE(I)=MM(LLL(I))
        END DO
!
!
!  CALCULATE CLASSIFICATION ERRORS FOR BEST SOLUTION FROM PHASE 1
!
!
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        IROTC=0
        CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                    NP,NRCALL,NP,NRCALL,NS,NDUAL,JX,XMAT,XXX,MVOTE,WS, &
                    LLV,LLVB,LLE,LLEB,LERROR, &
                    ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LLL, &
                    XJCH,XJEH,XJCL,XJEL)
!
!      IF(IPRINT.EQ.1)WRITE(11,3909)JX,IJL,KYES,KNO,JCH,JCL,JEH,JEL
!
        LLM(IJL)=IJL
        LLN(IJL)=JEH+JEL
        FV1(IJL)=FLOAT(JEH+JEL)
        FV2(IJL)=WS(JX)
        KKKCUT(IJL)=KCUT
        LLLCUT(IJL)=LCUT
!
        IF(JEH+JEL.EQ.0)THEN
           KT=KT+JCH+JCL+JEH+JEL
           KITTY1=0
           KITTY2=JCH+JCL+JEH+JEL
           IJUST=2
           DEALLOCATE(KKKCUT)
           DEALLOCATE(LLLCUT)
           DEALLOCATE(LLV)
           DEALLOCATE(LLVB)
           DEALLOCATE(LLE)
           DEALLOCATE(LLEB)
           DEALLOCATE(LWRONG)
           DEALLOCATE(LLL)
           DEALLOCATE(MVOTE)
           DEALLOCATE(LLM)
           DEALLOCATE(LLN)
           DEALLOCATE(MM)
           DEALLOCATE(XJCH)
           DEALLOCATE(XJEH)
           DEALLOCATE(XJCL)
           DEALLOCATE(XJEL)
           DEALLOCATE(ZS)
           DEALLOCATE(FV1)
           DEALLOCATE(FV2)
           DEALLOCATE(SUMX)
           DEALLOCATE(UUUU)
           DEALLOCATE(XXX)
           DEALLOCATE(IWORK)
           DEALLOCATE(Y16MIDP)
           DEALLOCATE(YHAT)
           DEALLOCATE(Z16MIDP)
           DEALLOCATE(VVV)
           DEALLOCATE(WORK)
           DEALLOCATE(X16MIDP)
           RETURN
        ENDIF
!
!
        KASTRO=4*(JEH+JEL)
        IF(KASTRO.LT.4*NS)KASTRO=4*NS
        IF(KASTRO.GT.NP)KASTRO=NP
!
        DO I=1,NP
          LWRONG(I)=0
          DB2B1=WS(JX)-XXY(I)
          IF(XXY(I).LT.WS(JX))THEN
!
!  IF CORRECT PLACE LEGISLATOR POINT ON THE CURRENT CUTTING PLANE
!
             IF(LDATA(I,JX).EQ.KCUT)THEN
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)+DB2B1*ZVEC(JX,K)
                END DO
             ENDIF
!
!  IF INCORRECT PUT ACTUAL POINT INTO THE CUTTING CLOUD
!
             IF(LDATA(I,JX).EQ.LCUT)THEN
                LWRONG(I)=1
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)
                END DO
             ENDIF
!
!  IF NOT-VOTING PUT LEGISLATOR POINT ON THE CURRRENT CUTTING PLANE
!
             IF(LDATA(I,JX).EQ.0)THEN
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)+DB2B1*ZVEC(JX,K)
                END DO
             ENDIF
          ENDIF
          IF(XXY(I).GT.WS(JX))THEN
!
!  IF CORRECT PLACE LEGISLATOR POINT ON THE CURRENT CUTTING PLANE
!
             IF(LDATA(I,JX).EQ.LCUT)THEN
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)+DB2B1*ZVEC(JX,K)
                END DO
             ENDIF
!
!  IF INCORRECT PUT ACTUAL POINT INTO THE CUTTING CLOUD
!
             IF(LDATA(I,JX).EQ.KCUT)THEN
                LWRONG(I)=1
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)
                END DO
             ENDIF
!
!  IF NOT-VOTING PUT LEGISLATOR POINT ON THE CURRRENT CUTTING PLANE
!
             IF(LDATA(I,JX).EQ.0)THEN
                DO K=1,NS
                  Y16MIDP(I,K)=XMAT(I,K)+DB2B1*ZVEC(JX,K)
                END DO
             ENDIF
          ENDIF
!
        END DO
!
!  MASS CENTER THE CUTTING PLANE MATRIX (Y16MIDP(,) HAS ALL POINTS)
!
        DO K=1,NS
          SUM=0.0
          DO I=1,NP
            SUM=SUM+Y16MIDP(I,K)
          END DO
          DO I=1,NP
            Y16MIDP(I,K)=Y16MIDP(I,K)-SUM/FLOAT(NP)
            SUMX(K)=SUMX(K)+Y16MIDP(I,K)**2
          END DO
          SUMX(K)=SUMX(K)/FLOAT(NP)
        END DO
!
!  CONSTRUCT PARTIAL CUTTING PLANE MATRIX (X16MIDP(,))
!
        KK=0
        KHIT=0
!
        DO I=1,NP
          IF(LWRONG(I).EQ.1)THEN
             KK=KK+1
             DO K=1,NS
               X16MIDP(KK,K)=Y16MIDP(I,K)
             END DO
          ENDIF
        END DO
        DO I=1,NP
          IF(LWRONG(I).EQ.0)THEN
             KK=KK+1
             DO K=1,NS
               X16MIDP(KK,K)=Y16MIDP(I,K)
             END DO
             IF(KK.EQ.KASTRO)GO TO 203
          ENDIF
        END DO
 203    CONTINUE
!
!  MASS CENTER THE PARTIAL CUTTING PLANE MATRIX
!
        DO K=1,NS
          SUM=0.0
          DO I=1,KASTRO
            SUM=SUM+X16MIDP(I,K)
          END DO
          DO I=1,KASTRO
            X16MIDP(I,K)=X16MIDP(I,K)-SUM/FLOAT(KASTRO)
            SUMX(K+NS)=SUMX(K+NS)+X16MIDP(I,K)**2
          END DO
          SUMX(K+NS)=SUMX(K+NS)/FLOAT(KASTRO)
        END DO
!
!  RUN REGRESSION TO ELIMINATE DIMENSION WITH LEAST VARIANCE
!
!
!  CALL SINGULAR VALUE DECOMPOSITION ROUTINE
!
        LWORK=2*NUMMEMBERS+1875
        XTOL=.001
!      CALL LSVRR(NP,NS,Y16MIDP,NP,21,XTOL,IRANK,YHAT,Y16MIDP,
!     C           NP,VVV,25)
        CALL DGESDD('S',NP,NS,Y16MIDP,NDUAL,YHAT,Z16MIDP, &
                   NDUAL,VVV,25,WORK,LWORK,IWORK,IRANK)
!
!      WRITE(23,1094)IRANK
! 1094 FORMAT(' DGESDD ROUTINE',I5)
!      WRITE(23,3908)JX,IJL,(YHAT(K),K=1,NS),(VVV(K,NS),K=1,NS)
        DO K=1,NS
          SUMX(K)=SUMX(K+NS)
!
!  WRONG WAY -- DGESDD RETURNS V_transpose, NOT V
!
!      ZVEC(JX,K)=VVV(K,NS)
!
!  RIGHT WAY -- DGESDD RETURNS V_transpose, NOT V, SO THE
!               S_th ROW IS TRANSFERRED
!
          ZVEC(JX,K)=VVV(NS,K)
        END DO
!
! 3908 FORMAT(I5,I3,10F7.3)
!
!
!  RUN REGRESSION TO ELIMINATE DIMENSION WITH LEAST VARIANCE
!
!      CALL LSVRR(KASTRO,NS,X16MIDP,NP,21,XTOL,IRANK,YHAT,X16MIDP,
!     C           NP,VVV,25)
        CALL DGESDD('S',KASTRO,NS,X16MIDP,NDUAL,YHAT,Z16MIDP, &
                   NDUAL,VVV,25,WORK,LWORK,IWORK,IRANK)
!
!      WRITE(23,1094)IRANK
!      WRITE(23,3908)JX,IJL,(YHAT(K),K=1,NS),(VVV(K,NS),K=1,NS)
        IF(IJL.GT.25)THEN
           DO K=1,NS
!
!  WRONG WAY -- DGESDD RETURNS V_transpose, NOT V
!
!         ZVEC(JX,K)=VVV(K,NS)
!
!  RIGHT WAY -- DGESDD RETURNS V_transpose, NOT V, SO THE
!               S_th ROW IS TRANSFERRED
!
             ZVEC(JX,K)=VVV(NS,K)
           END DO
        ENDIF
!
!
      END DO
!
      CALL KPRSORT(FV1,NCUT,LLM)
!
      DO JJ=1,NCUT
        IF(FV1(1).LT.FV1(JJ))GO TO 282
      END DO
 282  KIN=JJ-1
      LLM(1)=LLM(KIN)
!
      DO K=1,NS
        ZVEC(JX,K)=UUUU(LLM(1),K)
      END DO
      WS(JX)=FV2(LLM(1))
      KCUT=KKKCUT(LLM(1))
      LCUT=LLLCUT(LLM(1))
      DO I=1,NP
        SUM=0.0
        DO K=1,NS
          SUM=SUM+XMAT(I,K)*ZVEC(JX,K)
        END DO
        XPROJ(I,JX)=SUM
        XXY(I)=SUM
      END DO
      KTT=KTT+LLN(LLM(1))
      KITTY1=LLN(LLM(1))
      IJUST=3
      KT=KT+JCH+JCL+JEH+JEL
      KITTY2=JCH+JCL+JEH+JEL
      DEALLOCATE(KKKCUT)
      DEALLOCATE(LLLCUT)
      DEALLOCATE(LLV)
      DEALLOCATE(LLVB)
      DEALLOCATE(LLE)
      DEALLOCATE(LLEB)
      DEALLOCATE(LWRONG)
      DEALLOCATE(LLL)
      DEALLOCATE(MVOTE)
      DEALLOCATE(LLM)
      DEALLOCATE(LLN)
      DEALLOCATE(MM)
      DEALLOCATE(XJCH)
      DEALLOCATE(XJEH)
      DEALLOCATE(XJCL)
      DEALLOCATE(XJEL)
      DEALLOCATE(ZS)
      DEALLOCATE(FV1)
      DEALLOCATE(FV2)
      DEALLOCATE(SUMX)
      DEALLOCATE(UUUU)
      DEALLOCATE(XXX)
      DEALLOCATE(IWORK)
      DEALLOCATE(Y16MIDP)
      DEALLOCATE(YHAT)
      DEALLOCATE(Z16MIDP)
      DEALLOCATE(VVV)
      DEALLOCATE(WORK)
      DEALLOCATE(X16MIDP)
      RETURN
      END
!
!  **************************************************************************
!    SUBROUTINE JAN1PT -- FINDS OPTIMAL CUTTING POINT FOR ONE DIMENSION
!  **************************************************************************
!
      SUBROUTINE JAN1PT(NUMMEMBERS,NUMVOTES,&
                        NPZZ,NV,NP,NRCALL,NS,NDUAL,IVOT,XMAT,YSS,KA,WS, &
                        LLV,LLVB,LLE,LLEB, &
                        LERROR,ZS,JCH,JEH,JCL,JEL,IROTC,KCCUT,LCCUT, &
                        LLL,XJCH,XJEH,XJCL,XJEL)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      INTEGER:: LD=0,LC=0,LA=0,LB=0
      DOUBLE PRECISION:: AB=0.0,AA=0.0
      DIMENSION YSS(NDUAL),KA(NDUAL),WS(NDUAL),LV(NDUAL), &
                LEB(NDUAL),Z(NDUAL),Y(NDUAL),LLV(NDUAL), &
                LLVB(NDUAL),LE(NDUAL),LERROR(NUMMEMBERS,NUMVOTES), &
                LLEB(NDUAL),ZS(NDUAL),LLL(NDUAL),XMAT(NUMMEMBERS,25), &
                XJCH(25),XJEH(25),XJCL(25),XJEL(25),AAJEP(101), &
                ABJEP(101),LAJEP(101),LBJEP(101),LCJEP(101), &
                LDJEP(101),ABABJEP(101),MJEP(101), &
                LVB(NDUAL),LLE(NDUAL),LJEP(NDUAL)
!
      JROTC=1
      KPDUDE=NP
      KPDUDE2=NRCALL
      IF(IROTC.EQ.2)THEN
         JROTC=0
         IROTC=1
      ENDIF
      NPN=NPZZ+1
      NPP=NPZZ-1
      KCUT=1
      LCUT=6
      NOTE=2
      IF(IROTC.EQ.1)THEN
         NOTE=1
      ENDIF
      AA1=0.0
      AB1=0.0
      LA1=0
      LB1=0
      LC1=0
      LD1=0
      AA2=999.0
      AB2=0.0
      LA2=0
      LB2=0
      LC2=0
      LD2=0
      DO III=1,NOTE
        IF(III.EQ.2)THEN
           KCUT=6
           LCUT=1
        ENDIF
!
!  CHECK ALL POSSIBLE INTERIOR CUT POINTS  --  THE NP INPUT POINTS
!      ARE HELD FIXED.  THERE ARE NP POSSIBLE CUT-POINTS BEGINNING
!      WITH CUT-POINT 1 WHICH IS .001 UNITS TO THE LEFT OF POINT 1.
!      CUT-POINT 2 IS BETWEEN POINTS 1 AND 2, ETC.
!
!     1   2   3   4   5   6   7   8   9   10   11 ...... NP-1   NP
!    *  *   *   *   *   *   *   *   *   *    *                *
!    1  2   3   4   5   6   7   8   9  10   11  ...........  NP
!
!  IF KCUT=1 AND LCUT=6, THE FOLLOWING NP PATTERNS ARE TESTED
!
! PATTERN
!   1         6666666666666666666666
!   2         1666666666666666666666
!   3         1166666666666666666666
!   4         1116666666666666666666
!   5         1111666666666666666666
!   6         1111166666666666666666
!   7         1111116666666666666666
!   .           .....
!   .           .....
!   .           .....
!  NP-1       1111111111111111111166
!   NP        1111111111111111111116
!
!  BECAUSE THE PROGRAM TRIES BOTH KCUT=1/LCUT=6 AND KCUT=6/LCUT=1, THIS
!  WILL ALSO TEST THE ONE MISSING PATTERN ABOVE, VIZ., ALL "1"S.
!
!
        KSE=0
        KSV=0
        LSV=0
        LSE=0
        KMARK=1
        I=0
 10     I=I+1
!      IF(I-NPZZ-1)61,12,12
        IF((I-NPZZ-1).GE.0)GO TO 12
!  61  Z(I)=999.0
        Z(I)=999.0
        IF(I.EQ.1)THEN
           Y(I)=YSS(1)-.001
        ENDIF
        IF(I.GT.1)THEN
           Y(I)=(YSS(I)+YSS(I-1))/2.0
        ENDIF
!      IF(KA(I).EQ.9)GO TO 10
        IF(KMARK.EQ.1)THEN
           DO J=I,NPZZ
             IF(KA(J).EQ.9)GO TO 3
             IF((LCUT-KA(J)).EQ.0)GO TO 5
             IF((KCUT-KA(J)).EQ.0)GO TO 6
             IF((KCUT-KA(J)).NE.0)GO TO 3
 5           LSV=LSV+1
             GO TO 3
 6           LSE=LSE+1
 3         CONTINUE
           END DO
           KMARK=0
           GO TO 31
        ENDIF
        IF(KA(I-1).EQ.KCUT)THEN
           KSV=KSV+1
           LSE=LSE-1
        ENDIF
        IF(KA(I-1).EQ.LCUT)THEN
           KSE=KSE+1
           LSV=LSV-1
        ENDIF
!
 31     CONTINUE
        LJEP(I)=I
        LV(I)=KSV
        LVB(I)=LSV
        LE(I)=KSE
        LEB(I)=LSE
        KT=LV(I)+LE(I)+LVB(I)+LEB(I)
        Z(I)=FLOAT(LE(I)+LEB(I))/FLOAT(KT)
!
        IF(JROTC.EQ.0)THEN
           ZS(I)=Y(I)
           LLV(I)=LV(I)
           LLE(I)=LE(I)
           LLVB(I)=LVB(I)
           LLEB(I)=LEB(I)
        ENDIF
        GO TO 10
 12     CONTINUE
!
!  FIND BEST CUT POINT
!
        CALL KPRSORT(Z,NPZZ,LJEP)
        KIN=1
        MJEP(1)=1
        AAJEP(KIN)=Z(1)
        ABJEP(KIN)=Y(LJEP(1))
        ABABJEP(KIN)=ABS(ABJEP(KIN))
        LAJEP(KIN)=LV(LJEP(1))
        LBJEP(KIN)=LE(LJEP(1))
        LCJEP(KIN)=LVB(LJEP(1))
        LDJEP(KIN)=LEB(LJEP(1))
!
!  CHECK IF THERE ARE MULTIPLE CUT-POINTS WITH SAME CLASSIFICATION AND
!    SELECT THAT CUT-POINT CLOSEST TO THE INTERIOR OF THE SPACE
!
        DO I=2,NPZZ
          IF(ABS(Z(1)-Z(I)).LE..00001)THEN
             KIN=KIN+1
             MJEP(KIN)=KIN
             AAJEP(KIN)=Z(I)
             ABJEP(KIN)=Y(LJEP(I))
             ABABJEP(KIN)=ABS(ABJEP(KIN))
             LAJEP(KIN)=LV(LJEP(I))
             LBJEP(KIN)=LE(LJEP(I))
             LCJEP(KIN)=LVB(LJEP(I))
             LDJEP(KIN)=LEB(LJEP(I))
             IF(KIN.GT.100)GO TO 633
             GO TO 63
          ENDIF
          IF(Z(1).LT.Z(I))GO TO 633
 63       CONTINUE
        END DO
 633    CONTINUE
        IF(KIN.EQ.1)THEN
           AA=AAJEP(1)
           AB=ABJEP(1)
           LA=LAJEP(1)
           LB=LBJEP(1)
           LC=LCJEP(1)
           LD=LDJEP(1)
        ENDIF
        IF(KIN.GT.1)THEN
           CALL KPRSORT(ABABJEP,KIN,MJEP)
           AA=AAJEP(MJEP(1))
           AB=ABJEP(MJEP(1))
           LA=LAJEP(MJEP(1))
           LB=LBJEP(MJEP(1))
           LC=LCJEP(MJEP(1))
           LD=LDJEP(MJEP(1))
        ENDIF
!
        IF(III.EQ.1)THEN
           AA1=AA
           AB1=AB
           LA1=LA
           LB1=LB
           LC1=LC
           LD1=LD
        ENDIF
        IF(III.EQ.2)THEN
           AA2=AA
           AB2=AB
           LA2=LA
           LB2=LB
           LC2=LC
           LD2=LD
        ENDIF
!
      END DO
!
      IF(AA1.LE.AA2)THEN
         KCCUT=1
         LCCUT=6
         AA=AA1
         AB=AB1
         LA=LA1
         LB=LB1
         LC=LC1
         LD=LD1
      ENDIF
      IF(AA1.GT.AA2)THEN
         KCCUT=6
         LCCUT=1
         AA=AA2
         AB=AB2
         LA=LA2
         LB=LB2
         LC=LC2
         LD=LD2
      ENDIF
      IF(IROTC.EQ.1)THEN
         KCCUT=1
         LCCUT=6
         AA=AA1
         AB=AB1
         LA=LA1
         LB=LB1
         LC=LC1
         LD=LD1
      ENDIF
      WS(IVOT)=AB
      IF(IROTC.EQ.1)WS(IVOT+NV)=AB
      IF(JROTC.EQ.1)THEN
         ZS(IVOT)=AA
         LLV(IVOT)=LA
         LLE(IVOT)=LB
         LLVB(IVOT)=LC
         LLEB(IVOT)=LD
      ENDIF
      JCL=LA
      JEL=LB
      JCH=LC
      JEH=LD
!
      IF(IROTC.EQ.0)THEN
         DO K=1,NS
           XJCH(K)=0.0
           XJEH(K)=0.0
           XJCL(K)=0.0
           XJEL(K)=0.0
         END DO
         DO I=1,NPZZ
           IF(LLL(I).LE.NPZZ-1)LERROR(LLL(I),IVOT)=0
           IF(KA(I).EQ.9)GO TO 64
           LERROR(LLL(I),IVOT)=0
           IF(YSS(I).LT.AB)THEN
              IF(KA(I).EQ.KCCUT)THEN
                 LERROR(LLL(I),IVOT)=0
                 DO K=1,NS
                   XJCL(K)=XJCL(K)+XMAT(LLL(I),K)
                 END DO
              ENDIF
              IF(KA(I).EQ.LCCUT)THEN
                 LERROR(LLL(I),IVOT)=1
                 DO K=1,NS
                   XJEL(K)=XJEL(K)+XMAT(LLL(I),K)
                 END DO
              ENDIF
           ENDIF
           IF(YSS(I).GT.AB)THEN
              IF(KA(I).EQ.LCCUT)THEN
                 LERROR(LLL(I),IVOT)=0
                 DO K=1,NS
                   XJCH(K)=XJCH(K)+XMAT(LLL(I),K)
                 END DO
              ENDIF
              IF(KA(I).EQ.KCCUT)THEN
                 LERROR(LLL(I),IVOT)=1
                 DO K=1,NS
                   XJEH(K)=XJEH(K)+XMAT(LLL(I),K)
                 END DO
              ENDIF
           ENDIF
 64        CONTINUE
         END DO
         DO K=1,NS
           IF(JCL.GT.0)XJCL(K)=XJCL(K)/FLOAT(JCL)
           IF(JEL.GT.0)XJEL(K)=XJEL(K)/FLOAT(JEL)
           IF(JCH.GT.0)XJCH(K)=XJCH(K)/FLOAT(JCH)
           IF(JEH.GT.0)XJEH(K)=XJEH(K)/FLOAT(JEH)
         END DO
      ENDIF
      IF(IROTC.EQ.1)THEN
         DO I=1,NPZZ
           IF(LLL(I).LE.NPZZ-1)LERROR(IVOT,LLL(I))=0
           IF(KA(I).EQ.9)GO TO 65
           LERROR(IVOT,LLL(I))=0
           IF(YSS(I).LT.AB)THEN
              IF(KA(I).EQ.KCCUT)LERROR(IVOT,LLL(I))=0
              IF(KA(I).EQ.LCCUT)LERROR(IVOT,LLL(I))=1
           ENDIF
           IF(YSS(I).GT.AB)THEN
              IF(KA(I).EQ.LCCUT)LERROR(IVOT,LLL(I))=0
              IF(KA(I).EQ.KCCUT)LERROR(IVOT,LLL(I))=1
           ENDIF
 65        CONTINUE
         END DO
      ENDIF
      RETURN
      END
!
!
! *********************************************************************
!   SUBROUTINE KPLEGIS -- PERFORMS THE LEGISLATIVE PROCEDURE
!                           30 JUNE 1999
!
! *********************************************************************
!
      SUBROUTINE KPLEGIS(NUMMEMBERS,NUMVOTES,&
                         JJJ,NP,NRCALL,NS,NDUAL,XMAT,LLEGERR, &
                        ZVEC,WS,MCUTS,LERROR,LTOTAL,MWRONG, &
                        LDATA,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),ZVEC(NUMVOTES,25),&
              MCUTS(NUMVOTES,2),WS(NDUAL),LERROR(NUMMEMBERS,NUMVOTES),&
              LLEGERR(NUMMEMBERS,2),LDATA(NUMMEMBERS,NUMVOTES)
!
      DOUBLE PRECISION, ALLOCATABLE :: BB(:,:)
      ALLOCATE(BB(25,NRCALL))
!
!  885 FORMAT(' ERROR CHECK ON ENTRY TO KPLEGIS',I5,I7)
! 1094 FORMAT(' LEG CLASSIFICATION ERROR  ',2I3,2I8,2F10.5)
!
      IF(JJJ.EQ.1) JJJ=1  !hack to get rid of warnings
      CALL ECHOEVENT(1)
      CALL FLUSHCON()
      CALL PROCEVENT()
      CALL ZVECINV(NUMMEMBERS,NUMVOTES,NRCALL,NS,ZVEC,BB,IPRINT)
!
      LTOTAL=0
      LWRONG=0
      MWRONG=0
      DO I=1,NP
        KCHECK4=0
        DO JX=1,NRCALL
          KCHECK4=KCHECK4+LERROR(I,JX)
        END DO
        XSAVE1=XMAT(I,1)
        XSAVE2=XMAT(I,2)
        IVOT=I
        CALL KTPXI(NUMMEMBERS,NUMVOTES,&
                   IVOT,NP,NRCALL,NS,NDUAL,MCUTS,BB,XMAT,ZVEC,WS, &
                    LERROR,KTOTAL,KWRONG,LDATA)
!
!      WRITE(21,1492)I,KCHECK4,KWRONG,KTOTAL,XSAVE1,XSAVE2,
!     C                    XMAT(I,1),XMAT(I,2)
! 1492 FORMAT(4I8,4F7.3)
        MWRONG=MWRONG+KWRONG
        LTOTAL=LTOTAL+KTOTAL
        LLEGERR(I,1)=KWRONG
        LLEGERR(I,2)=KTOTAL
!
      END DO
      IF(LTOTAL.GT.0)THEN
        XERROR=FLOAT(MWRONG)/FLOAT(LTOTAL)
        YERROR=1.0-XERROR
      ENDIF
!      IF(IPRINT.EQ.1)WRITE(23,1094)JJJ,NS,MWRONG,LTOTAL,XERROR,YERROR
      DEALLOCATE(BB)
      RETURN
      END
!
! **************************************************************************
!  SUBROUTINE ZVECINV -- CALCULATES (Z'Z)-1Z' WHERE Z IS THE NORMAL PLANE
!                        MATRIX
! **************************************************************************
!
      SUBROUTINE ZVECINV(NUMMEMBERS,NUMVOTES,NRCALL,NS,ZVEC,BB,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION BB(25,NRCALL),ZVEC(NUMVOTES,25)
      INTEGER, ALLOCATABLE :: IWORK(:)
      DOUBLE PRECISION, ALLOCATABLE :: VVV(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: VVV2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: FV1(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV2(:)
      DOUBLE PRECISION, ALLOCATABLE :: WORK(:)
      DOUBLE PRECISION, ALLOCATABLE :: VCOV(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: VCOV2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: WVEC(:)
      DOUBLE PRECISION, ALLOCATABLE :: UL(:,:)
      ALLOCATE(VVV(25,25))
      ALLOCATE(VVV2(25,25))
      ALLOCATE(FV1(NRCALL))
      ALLOCATE(FV2(NRCALL))
      ALLOCATE(VCOV(25,25))
      ALLOCATE(VCOV2(25,25))
      ALLOCATE(WVEC(25))
      ALLOCATE(UL(25,25))
      ALLOCATE(IWORK(8*25*25+1875))
      ALLOCATE(WORK(8*25*25+1875))
!
      LWORK=8*25*25+1875
      KPDUDE=NUMMEMBERS
!
! 1011 FORMAT(7F10.4)
! 1012 FORMAT(' DECOMPOSITION OF NORMAL VECTOR MATRIX',3I4)
! 1091 FORMAT(' INVERSE MATRIX ERROR',F10.4)
!
!
!    (X'X)
!
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      DO K=1,NS
        DO L=1,NS
          SUM=0.0
          DO I=1,NRCALL
            SUM=SUM+ZVEC(I,K)*ZVEC(I,L)
          END DO
          VCOV(K,L)=SUM
          VCOV2(K,L)=SUM
        END DO
      END DO
!
!  EIGENVECTOR-EIGENVALUE DECOMPOSITION OF NORMAL VECTOR MATRIX
!
!
      CALL DGESDD('S',NS,NS,VCOV2,25,WVEC,VVV, &
                 25,VVV2,25,WORK,LWORK,IWORK,IRANK)
!
!      CALL KPRS(25,NS,VCOV,WVEC,1,VVV,FV1,FV2,IER)
!
!  (X'X)-1
!
      DO I=1,NS
        DO K=1,NS
          SUM=0.0
          DO J=1,NS
!      IF(ABS(WVEC(NS+1-J)).GT..0001)THEN
!          SUM=SUM+VVV(K,NS+1-J)*(1.0/WVEC(NS+1-J))*VVV(I,NS+1-J)
            IF(ABS(WVEC(J)).GT..0001)THEN
                SUM=SUM+VVV(K,J)*(1.0/WVEC(J))*VVV(I,J)
            ENDIF
          END DO
          UL(I,K)=SUM
        END DO
      END DO
!
!
!  MATRIX INVERSION CHECK  (X'X)-1(X'X) = I
!
      ASUM=0.0
      DO I=1,NS
        DO J=1,NS
          SUM=0.0
          DO K=1,NS
            SUM=SUM+UL(J,K)*VCOV(K,I)
          END DO
          IF(I.EQ.J)ASUM=ASUM+ABS(1.0-SUM)
          IF(I.NE.J)ASUM=ASUM+ABS(SUM)
        END DO
      END DO
!
!  (X'X)-1*X'
!
      DO I=1,NRCALL
        DO J=1,NS
          SUM=0.0
          DO JJ=1,NS
            SUM=SUM+UL(J,JJ)*ZVEC(I,JJ)
          END DO
          BB(J,I)=SUM
        END DO
      END DO
!
      DEALLOCATE(VVV)
      DEALLOCATE(VVV2)
      DEALLOCATE(FV1)
      DEALLOCATE(FV2)
      DEALLOCATE(VCOV)
      DEALLOCATE(VCOV2)
      DEALLOCATE(WVEC)
      DEALLOCATE(UL)
      DEALLOCATE(WORK)
      DEALLOCATE(IWORK)
      RETURN
      END
!
! **************************************************************************
!  SUBROUTINE KTPXI -- PERFORMS LEGISLATOR FITTING
! **************************************************************************
!
      SUBROUTINE KTPXI(NUMMEMBERS,NUMVOTES,&
                       ILEG,NP,NRCALL,NS,NDUAL,MCUTS,BB,XMAT,ZVEC,WS, &
                              LERROR,KTOTAL,KWRONG,LDATA)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION BB(25,NRCALL),XMAT(NUMMEMBERS,25),WS(NDUAL),&
                LERROR(NUMMEMBERS,NUMVOTES), &
                ZVEC(NUMVOTES,25),MCUTS(NUMVOTES,2),&
                LDATA(NUMMEMBERS,NUMVOTES)
!
      INTEGER, ALLOCATABLE :: LL(:)
      INTEGER, ALLOCATABLE :: LSAVE(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ZWRONG(:)
      DOUBLE PRECISION, ALLOCATABLE :: XDAT(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXZ(:)
      DOUBLE PRECISION, ALLOCATABLE :: YWRONG(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: YYWRONG(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XMAT2(:)
      DOUBLE PRECISION, ALLOCATABLE :: XXY(:)
      DOUBLE PRECISION, ALLOCATABLE :: YYYWRONG(:,:)
      ALLOCATE(LL(NRCALL))
      ALLOCATE(LSAVE(NRCALL,25))
      ALLOCATE(ZWRONG(50))
      ALLOCATE(XDAT(NP,25))
      ALLOCATE(XXZ(NRCALL))
      ALLOCATE(YWRONG(NRCALL,25))
      ALLOCATE(YYWRONG(NRCALL,25))
      ALLOCATE(XMAT2(25))
      ALLOCATE(XXY(NRCALL))
      ALLOCATE(YYYWRONG(NRCALL,25))
!
! 1001 FORMAT(I4,2X,I6,I4)
! 1011 FORMAT(I4,2I3,I4,12F7.3)
! 1012 FORMAT(14X,12F7.3)
! 1013 FORMAT(' LEG',2I3,I4,12F7.3)
! 1014 FORMAT(' WHOA DUDE',I4,I3,I4)
! 1015 FORMAT(' HEY THESE ARE NOT EQUAL!')
! 1016 FORMAT(I4,2I3,I4,12F7.3)
! 1017 FORMAT(14X,I4,12F7.3)
! 1018 FORMAT(10X,2I4,12F7.3)
! 1019 FORMAT(16X,12F7.3)
! 1020 FORMAT(2I4,3F10.4)
! 1021 FORMAT(4I4,12F7.3)
! 1022 FORMAT(' TWO  ',3I4,12F7.3)
! 1023 FORMAT(' THREE',3I4,12F7.3)
! 1024 FORMAT(' FOUR ',3I4,12F7.3)
! 1025 FORMAT(4X,4X,12X,12F7.3)
! 1026 FORMAT(I4,25F7.3)
!
      DO I=1,50
        ZWRONG(I)=0.0
      END DO
      NTRIAL2=15
      MZZZ=5
!
!      WRITE(21,1019)(XMAT(ILEG,K),K=1,NS)
      DO K=1,NS
        XDAT(20,K)=XMAT(ILEG,K)
      END DO
!
      DO IIII=1,2
        SUM=0.0
        DO K=1,NS
          XDAT(1,K)=0.0
!      IF(IIII.EQ.2)XDAT(1,K)=0.1
          IF(IIII.EQ.2)XDAT(1,K)=XDAT(20,K)
          XDAT(2,K)=XDAT(1,K)
        END DO
!
!      WRITE(21,1019)(XDAT(1,K),K=1,NS)
        KWRONG=0
        K3WRONG=0
!
        DO III=1,MZZZ
!
          DO II=1,NTRIAL2
            NII=II
            DO KL=1,NS
!
              K3WRONG=KWRONG
              XDAT(2,KL)=0.01
!
!
!  CALCULATE FEASIBLE ALPHA VALUE
!
              ASUM=0.0
              AAA=0.0
              BBB=0.0
              DO ML=1,NS
                ASUM=ASUM+XDAT(1,ML)**2
                AAA=AAA+(XDAT(2,ML)-XDAT(1,ML))**2
                BBB=BBB+2.0*(XDAT(2,ML)-XDAT(1,ML))*XDAT(1,ML)
              END DO
              CCC=ASUM - 1.0
              RAD=BBB*BBB-4.0*AAA*CCC
              RADSQ=SQRT(ABS(RAD))
              ROOT1=0.0
              ROOT2=0.0
              IF(AAA.GT..00001)THEN
                 ROOT1=(-BBB+RADSQ)/(2.0*AAA)
                 ROOT2=(-BBB-RADSQ)/(2.0*AAA)
              ENDIF
!
              CALL KTPXIXJ(NUMMEMBERS,NUMVOTES,&
                           NII,ILEG,NP,NRCALL,NS,NDUAL,MCUTS,BB,XDAT,ZVEC,WS, &
                              XXZ,WSSY,XMAT2,ZWRONG,YYWRONG,LERROR,KTOTAL, &
                              KWRONG,ROOT1,ROOT2,LDATA)
!
              LSAVE(II,KL)=KWRONG
              IF(KWRONG.EQ.0)THEN
                 LL(1)=II
                 DO K=1,NS
                   XMAT(ILEG,K)=XMAT2(K)
                 END DO
                 KKNII=NII
                 K3WRONG=KWRONG
!         WRITE(21,1021)ILEG,III,II,KWRONG,(XMAT(ILEG,K),K=1,NS)
                 GO TO 996
              ENDIF
!
              SUM=0.0
              DO K=1,NS
                SUM=SUM+XMAT2(K)**2
                YWRONG(II,K)=XMAT2(K)
                YYYWRONG(KL,K)=XMAT2(K)
                XDAT(3,K)=XDAT(1,K)
                XDAT(1,K)=XMAT2(K)
                XDAT(2,K)=XMAT2(K)
                XMAT(ILEG,K)=XMAT2(K)
              END DO
!
!      WRITE(21,1011)ILEG,II,KL,KWRONG,(XDAT(3,K),K=1,NS)
!      WRITE(21,1012)(XMAT2(K),K=1,NS),(ZWRONG(K),K=1,NS)
!
            END DO
!
            SUM=0.0
            KSUM=0
            DO K=1,NS
              IF(II.GT.1)THEN
                 SUM=SUM+(YWRONG(II,K)-YWRONG(II-1,K))**2
                 KSUM=KSUM+ABS(LSAVE(II,K)-LSAVE(II-1,K))
              ENDIF
            END DO
            IF(II.EQ.1)GO TO 988
            IF(SUM.LE..000001)GO TO 986
            IF(II.GT.5.AND.KSUM.EQ.0)GO TO 986
 988        CONTINUE
          END DO
!
 986      CONTINUE
!      WRITE(21,1021)ILEG,III,II,KWRONG,(XMAT(ILEG,K),K=1,NS)
          KKKNII=NII
          K3WRONG=KWRONG
!
!
!  CALCULATE FEASIBLE ALPHA VALUE
!
          ASUM=0.0
          AAA=0.0
          BBB=0.0
          DO ML=1,NS
            XDAT(1,ML)=XMAT(ILEG,ML)
            XDAT(2,ML)=ZWRONG(K)
            ASUM=ASUM+XDAT(1,ML)**2
            AAA=AAA+(XDAT(2,ML)-XDAT(1,ML))**2
            BBB=BBB+2.0*(XDAT(2,ML)-XDAT(1,ML))*XDAT(1,ML)
          END DO
          CCC=ASUM - 1.0
          RAD=BBB*BBB-4.0*AAA*CCC
          RADSQ=SQRT(ABS(RAD))
          ROOT1=0.0
          ROOT2=0.0
          IF(AAA.GT..00001)THEN
             ROOT1=(-BBB+RADSQ)/(2.0*AAA)
             ROOT2=(-BBB-RADSQ)/(2.0*AAA)
          ENDIF
!      ROOT1=(-BBB+RADSQ)/(2.0*AAA)
!      ROOT2=(-BBB-RADSQ)/(2.0*AAA)
!
          CALL KTPXIXJ(NUMMEMBERS,NUMVOTES,&
                       NII,ILEG,NP,NRCALL,NS,NDUAL,MCUTS,BB,XDAT,ZVEC,WS, &
                          XXZ,WSSY,XMAT2,ZWRONG,YYWRONG,LERROR,KTOTAL, &
                          KWRONG,ROOT1,ROOT2,LDATA)
!
!      WRITE(21,1021)ILEG,III,II,KWRONG,(XMAT2(K),K=1,NS),WSSY
!
          DO K=1,NS
            XMAT(ILEG,K)=XMAT2(K)
            XDAT(1,K)=XMAT2(K)
            XDAT(2,K)=XMAT2(K)
            IF(IIII.EQ.1)XDAT(10,K)=XMAT2(K)
          END DO
          IF(KWRONG.EQ.0)GO TO 996
        END DO
        IF(IIII.EQ.1)KLWRONG=KWRONG
        IF(IIII.EQ.2)THEN
!
!  CALCULATE FEASIBLE ALPHA VALUE
!
           ASUM=0.0
           AAA=0.0
           BBB=0.0
           DO ML=1,NS
             XDAT(1,ML)=XMAT(ILEG,ML)
             XDAT(2,ML)=XDAT(10,ML)
             ASUM=ASUM+XDAT(1,ML)**2
             AAA=AAA+(XDAT(2,ML)-XDAT(1,ML))**2
             BBB=BBB+2.0*(XDAT(2,ML)-XDAT(1,ML))*XDAT(1,ML)
           END DO
           CCC=ASUM - 1.0
           RAD=BBB*BBB-4.0*AAA*CCC
           RADSQ=SQRT(ABS(RAD))
           ROOT1=0.0
           ROOT2=0.0
           IF(AAA.GT..00001)THEN
              ROOT1=(-BBB+RADSQ)/(2.0*AAA)
              ROOT2=(-BBB-RADSQ)/(2.0*AAA)
           ENDIF
!         ROOT1=(-BBB+RADSQ)/(2.0*AAA)
!         ROOT2=(-BBB-RADSQ)/(2.0*AAA)
!
           CALL KTPXIXJ(NUMMEMBERS,NUMVOTES,&
                        NII,ILEG,NP,NRCALL,NS,NDUAL,MCUTS,BB,XDAT,ZVEC, &
                        WS,XXZ,WSSY,XMAT2,ZWRONG,YYWRONG,LERROR,KTOTAL, &
                        KWRONG,ROOT1,ROOT2,LDATA)
!
!         WRITE(21,1021)ILEG,III,II,KWRONG,(XMAT2(K),K=1,NS),WSSY
!
           DO K=1,NS
             XMAT(ILEG,K)=XMAT2(K)
           END DO
           IF(KWRONG.EQ.0)GO TO 996
        ENDIF
!
      END DO
!
 996  CONTINUE
!
      SUM=0.0
      DO K=1,NS
        SUM=SUM+XMAT(ILEG,K)**2
      END DO
      IF(SUM.GT.1.0)THEN
         DO K=1,NS
           XMAT(ILEG,K)=XMAT(ILEG,K)/SQRT(SUM)
         END DO
      ENDIF
!
      KKRITE=0
      KKWRONG=0
      KTOTAL=0
      DO JX=1,NRCALL
        LERROR(ILEG,JX)=0
        SUM=0.0
        DO K=1,NS
          SUM=SUM+XMAT(ILEG,K)*ZVEC(JX,K)
        END DO
        XXY(JX)=SUM
        DB2B1=WS(JX)-XXY(JX)
!
!  CALCULATE CLASSIFICATION ERROR
!
        IF(LDATA(ILEG,JX).NE.0)THEN
           KTOTAL=KTOTAL+1
           IF(XXY(JX).LT.WS(JX))THEN
!            KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 KKRITE=KKRITE+1
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 LERROR(ILEG,JX)=1
                 KKWRONG=KKWRONG+1
              ENDIF
           ENDIF
           IF(XXY(JX).GT.WS(JX))THEN
!            KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 KKRITE=KKRITE+1
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 LERROR(ILEG,JX)=1
                 KKWRONG=KKWRONG+1
              ENDIF
           ENDIF
        ENDIF
      END DO
!      WRITE(21,1001)ILEG,KKRITE,KKWRONG
!      IF(KKWRONG.NE.KWRONG)THEN
!         WRITE(21,1015)
!      ENDIF
      SUM=0.0
      DO K=1,NS
        SUM=SUM+(XDAT(20,K)-XMAT(ILEG,K))**2
      END DO
      SUM=SQRT(SUM)
!      WRITE(23,1026)ILEG,SUM
      DEALLOCATE(LL)
      DEALLOCATE(LSAVE)
      DEALLOCATE(ZWRONG)
      DEALLOCATE(XDAT)
      DEALLOCATE(XXZ)
      DEALLOCATE(YWRONG)
      DEALLOCATE(YYWRONG)
      DEALLOCATE(XMAT2)
      DEALLOCATE(XXY)
      DEALLOCATE(YYYWRONG)
      RETURN
      END
!
! **************************************************************************
!  SUBROUTINE KTPXIXJ -- PERFORMS LEGISLATOR FITTING
! **************************************************************************
!
      SUBROUTINE KTPXIXJ(NUMMEMBERS,NUMVOTES,&
                         NII,ILEG,NP,NRCALL,NS,NDUAL,MCUTS,BB,XDAT,ZVEC, &
                         WS,XXZ,WSSY,XMAT2,ZWRONG,YWRONG,LERROR,KTOTAL, &
                            KKWRONG,ROOT1,ROOT2,LDATA)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION BB(25,NRCALL),XDAT(NP,25),WS(NDUAL),&
                LERROR(NUMMEMBERS,NUMVOTES), &
                ZVEC(NUMVOTES,25),MCUTS(NUMVOTES,2),XXZ(NRCALL), &
                ZWRONG(50),YWRONG(NRCALL,25),XMAT2(25),&
                LDATA(NUMMEMBERS,NUMVOTES)
!
      INTEGER, ALLOCATABLE :: MRITE(:,:)
      INTEGER, ALLOCATABLE :: KALL(:)
      INTEGER, ALLOCATABLE :: LALL(:)
      DOUBLE PRECISION, ALLOCATABLE :: YALL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XALL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XXY(:)
      DOUBLE PRECISION, ALLOCATABLE :: XSAVE(:,:)
      ALLOCATE(MRITE(NRCALL,100))
      ALLOCATE(LALL(NDUAL))
      ALLOCATE(YALL(NDUAL))
      ALLOCATE(XALL(NDUAL))
      ALLOCATE(KALL(NDUAL))
      ALLOCATE(XXY(NRCALL))
      ALLOCATE(XSAVE(NRCALL,100))
!
! 1012 FORMAT(I4,3I6,7F7.3)
! 1013 FORMAT(2I4,3I6,F12.6,6F7.3/8X,8F7.3/8X,8F7.3)
! 1013 FORMAT(2I4,4I6,3F7.3)
! 1014 FORMAT(15X,I6,13X,4F7.3)
! 1015 FORMAT(I5,4F7.3)
! 1016 FORMAT(I5,2F7.3,I3,F7.3)
! 1017 FORMAT(I5,2F10.4,3F7.3)
! 1018 FORMAT(4X,6I5,20F10.4)
! 1019 FORMAT(2I4,4I6)
! 1020 FORMAT(' INITIAL ERROR',I4,3I6,7F7.3)
! 1021 FORMAT(I3,2I5,15F7.3)
! 1023 FORMAT(3I4,F15.10)
!
      KWED1=NII
!
!  INITIALIZE AT ZERO
!
      NTRY=2
!
      DO III=1,NTRY
        KTOTAL=0
        KRITE=0
        KWRONG=0
        DO JX=1,NRCALL
          SUM=0.0
          DO K=1,NS
            SUM=SUM+XDAT(III,K)*ZVEC(JX,K)
          END DO
          XXY(JX)=SUM
          XSAVE(JX,III)=SUM
          MRITE(JX,III)=0
          DB2B1=WS(JX)-XXY(JX)
          IF(LDATA(ILEG,JX).NE.0)THEN
             KTOTAL=KTOTAL+1
!
!  CALCULATE CLASSIFICATION ERROR
!
             IF(XXY(JX).LT.WS(JX))THEN
                IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                   KRITE=KRITE+1
                   MRITE(JX,III)=1
                ENDIF
                IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                   KWRONG=KWRONG+1
                ENDIF
             ENDIF
             IF(XXY(JX).GT.WS(JX))THEN
                IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                   KWRONG=KWRONG+1
                ENDIF
                IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                   KRITE=KRITE+1
                   MRITE(JX,III)=1
                ENDIF
             ENDIF
          ENDIF
        END DO
!      WRITE(21,1012)III,KRITE,KWRONG,KTOTAL,(XDAT(III,K),K=1,NS)
      END DO
!
!
!  CONSTRUCT PROJECTION VECTOR
!
      JJJ=1
      III=2
      ITOT=0
      KRITE=0
      KWRONG=0
      KTOTAL=0
      XERR=0.0
      XKMAX=+99999.0
      XKMIN=-99999.0
      DO JX=1,NRCALL
!
        DB2B1=WS(JX)-XSAVE(JX,III)
        DENOM=XSAVE(JX,III)-XSAVE(JX,JJJ)
        IF(ABS(DENOM).LE.0.00001)THEN
!         WRITE(23,1023)NII,ILEG,JX,DENOM
           GO TO 1
        ENDIF
        XNUM1=+1.0-XSAVE(JX,JJJ)
        XNUM2=-1.0-XSAVE(JX,JJJ)
        XNUM3=WS(JX)-XSAVE(JX,JJJ)
!
!  CALCULATE CLASSIFICATION ERROR
!
        IF(LDATA(ILEG,JX).NE.0)THEN
           IF(XSAVE(JX,III).LT.WS(JX))THEN
              KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 KRITE=KRITE+1
!
!  CORRECT TO CORRECT (CASES 3 AND 4)
!
                 IF(MRITE(JX,JJJ).EQ.1)THEN
!  CASE 3
                    IF(XSAVE(JX,III).LT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM2/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=1
                    ENDIF
!  CASE 4
                    IF(XSAVE(JX,III).GT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM2/DENOM
                       KALL(ITOT)=1
                    ENDIF
                 ENDIF
!
!  INCORRECT TO CORRECT (CASE 11)
!
                 IF(MRITE(JX,JJJ).EQ.0)THEN
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM2/DENOM
                    KALL(ITOT)=6
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM3/DENOM
                    KALL(ITOT)=1
                 ENDIF
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 KWRONG=KWRONG+1
!
!  CORRECT TO INCORRECT (CASE 9)
!
                 IF(MRITE(JX,JJJ).EQ.1)THEN
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM3/DENOM
                    KALL(ITOT)=6
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM1/DENOM
                    KALL(ITOT)=1
                 ENDIF
!
!  INCORRECT TO INCORRECT (CASES 7 AND 8)
!
                 IF(MRITE(JX,JJJ).EQ.0)THEN
!  CASE 7
                    IF(XSAVE(JX,III).LT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM1/DENOM
                       KALL(ITOT)=1
                    ENDIF
!  CASE 8
                    IF(XSAVE(JX,III).GT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM1/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=1
                    ENDIF
                 ENDIF
              ENDIF
           ENDIF
!
!
!
           IF(XSAVE(JX,III).GT.WS(JX))THEN
              KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 KRITE=KRITE+1
!
!  CORRECT TO CORRECT (CASES 1 AND 2)
!
                 IF(MRITE(JX,JJJ).EQ.1)THEN
!  CASE 2
                    IF(XSAVE(JX,III).LT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM1/DENOM
                       KALL(ITOT)=1
                    ENDIF
!  CASE 1
                    IF(XSAVE(JX,III).GT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM1/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=1
                    ENDIF
                 ENDIF
!
!  INCORRECT TO CORRECT (CASE 12)
!
                 IF(MRITE(JX,JJJ).EQ.0)THEN
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM1/DENOM
                    KALL(ITOT)=6
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM3/DENOM
                    KALL(ITOT)=1
                 ENDIF
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 KWRONG=KWRONG+1
!
!  CORRECT TO INCORRECT (CASE 10)
!
                 IF(MRITE(JX,JJJ).EQ.1)THEN
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM3/DENOM
                    KALL(ITOT)=6
                    ITOT=ITOT+1
                    XALL(ITOT)=XNUM2/DENOM
                    KALL(ITOT)=1
                 ENDIF
!
!  INCORRECT TO INCORRECT (CASES 5 AND 6)
!
                 IF(MRITE(JX,JJJ).EQ.0)THEN
!  CASE 6
                    IF(XSAVE(JX,III).LT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM2/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=1
                    ENDIF
!  CASE 5
                    IF(XSAVE(JX,III).GT.XSAVE(JX,JJJ))THEN
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM3/DENOM
                       KALL(ITOT)=6
                       ITOT=ITOT+1
                       XALL(ITOT)=XNUM2/DENOM
                       KALL(ITOT)=1
                    ENDIF
                 ENDIF
              ENDIF
           ENDIF
        ENDIF
 1      CONTINUE
      END DO
!
!  IMPOSE RANGE CONSTRAINTS ON ALPHA VECTOR -- ROOT2 IS THE LOWER BOUND
!                                              ROOT1 IS THE UPPER BOUND
!
      KK=0
      DO I=1,ITOT
        IF(XALL(I).GT.ROOT2.AND.XALL(I).LT.ROOT1)THEN
           KK=KK+1
           YALL(KK)=XALL(I)
           LALL(KK)=KALL(I)
        ENDIF
      END DO
!
      WSSY=0.0
      IF(KK.GT.0)THEN
         CALL KPRSORT(YALL,KK,LALL)
         IROTC=1
         CALL JAN0PT(KK,NP,NDUAL,YALL,LALL,WSSY,JCH,JEH,JCL,JEL,IROTC)
      ENDIF
!
!  (Z'Z)-1*Z'W-HAT
!
!
      DO K=1,NS
        ZWRONG(K)=0.0
        SUMWS=0.0
        DO JJ=1,NRCALL
          SUMWS=SUMWS+BB(K,JJ)*(XSAVE(JJ,JJJ)+ &
                          WSSY*(XSAVE(JJ,III)-XSAVE(JJ,JJJ)))
        END DO
!
        XMAT2(K)=SUMWS
      END DO
!
      KKRITE=0
      KKWRONG=0
      KTOTAL=0
      XERR2=0.0
      DO JX=1,NRCALL
        LERROR(ILEG,JX)=0
        SUM=0.0
        DO K=1,NS
          SUM=SUM+XMAT2(K)*ZVEC(JX,K)
        END DO
        XXY(JX)=SUM
        XXZ(JX)=SUM
        DB2B1=WS(JX)-XXY(JX)
!
!  CALCULATE CLASSIFICATION ERROR
!
        IF(LDATA(ILEG,JX).NE.0)THEN
           IF(XXY(JX).LT.WS(JX))THEN
              KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 KKRITE=KKRITE+1
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 LERROR(ILEG,JX)=1
                 KKWRONG=KKWRONG+1
                 XERR2=XERR2+(XXY(JX)-WS(JX))**2
                 XXZ(JX)=+1.0
                 DO K=1,NS
                   YWRONG(KKWRONG,K)=XMAT2(K)+1.000*DB2B1*ZVEC(JX,K)
                   ZWRONG(K)=ZWRONG(K)+XMAT2(K)+ &
                             1.5000*DB2B1*ZVEC(JX,K)
                 END DO
              ENDIF
           ENDIF
           IF(XXY(JX).GT.WS(JX))THEN
              KTOTAL=KTOTAL+1
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,2))THEN
                 KKRITE=KKRITE+1
              ENDIF
              IF(LDATA(ILEG,JX).EQ.MCUTS(JX,1))THEN
                 LERROR(ILEG,JX)=1
                 KKWRONG=KKWRONG+1
                 XERR2=XERR2+(XXY(JX)-WS(JX))**2
                 XXZ(JX)=-1.0
                 DO K=1,NS
                   YWRONG(KKWRONG,K)=XMAT2(K)+1.000*DB2B1*ZVEC(JX,K)
                   ZWRONG(K)=ZWRONG(K)+XMAT2(K)+ &
                             1.5000*DB2B1*ZVEC(JX,K)
                 END DO
              ENDIF
           ENDIF
        ENDIF
      END DO
!
      DO K=1,NS
        IF(KKWRONG.GT.0)ZWRONG(K)=ZWRONG(K)/FLOAT(KKWRONG)
      END DO
!      IF(ILEG.EQ.5)THEN
!      WRITE(21,1013)NII,ILEG,KKRITE,KKWRONG,JEH+JEL,KTOTAL,
!     C                  (XMAT2(K),K=1,3)
!      ENDIF
!
      DEALLOCATE(MRITE)
      DEALLOCATE(LALL)
      DEALLOCATE(YALL)
      DEALLOCATE(XALL)
      DEALLOCATE(KALL)
      DEALLOCATE(XXY)
      DEALLOCATE(XSAVE)
      RETURN
      END
!
!  **************************************************************************
!    SUBROUTINE JAN0PT -- FINDS OPTIMAL CUTTING POINT FOR ONE DIMENSION
!  **************************************************************************
!
      SUBROUTINE JAN0PT(KKNP,NP,NDUAL,YSS,KA,WSSY,JCH,JEH,JCL,JEL,IROTC)
!
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      INTEGER:: LD=0,LC=0,LA=0,LB=0
      DOUBLE PRECISION:: AB=0.0,AA=0.0
      DIMENSION YSS(NDUAL),KA(NDUAL)
      INTEGER, ALLOCATABLE :: LE(:)
      INTEGER, ALLOCATABLE :: LJEP(:)
      INTEGER, ALLOCATABLE :: LV(:)
      INTEGER, ALLOCATABLE :: LVB(:)
      INTEGER, ALLOCATABLE :: LEB(:)
      INTEGER, ALLOCATABLE :: LAJEP(:)
      INTEGER, ALLOCATABLE :: LBJEP(:)
      INTEGER, ALLOCATABLE :: LCJEP(:)
      INTEGER, ALLOCATABLE :: LDJEP(:)
      INTEGER, ALLOCATABLE :: MJEP(:)
      DOUBLE PRECISION, ALLOCATABLE :: Z(:)
      DOUBLE PRECISION, ALLOCATABLE :: Y(:)
      DOUBLE PRECISION, ALLOCATABLE :: AAJEP(:)
      DOUBLE PRECISION, ALLOCATABLE :: ABJEP(:)
      DOUBLE PRECISION, ALLOCATABLE :: ABABJEP(:)
      ALLOCATE(LE(NDUAL))
      ALLOCATE(LJEP(NDUAL))
      ALLOCATE(LV(NDUAL))
      ALLOCATE(LVB(NDUAL))
      ALLOCATE(LEB(NDUAL))
      ALLOCATE(LAJEP(101))
      ALLOCATE(LBJEP(101))
      ALLOCATE(LCJEP(101))
      ALLOCATE(LDJEP(101))
      ALLOCATE(MJEP(101))
      ALLOCATE(Z(NDUAL))
      ALLOCATE(Y(NDUAL))
      ALLOCATE(AAJEP(101))
      ALLOCATE(ABJEP(101))
      ALLOCATE(ABABJEP(101))
!
      IF(NP.EQ.1) NP=1  !hack to get rid of warnings
      NPN=KKNP+1
      NPP=KKNP-1
      KCUT=1
      LCUT=6
      NOTE=1
      AA1=0.0
      AB1=0.0
      LA1=0
      LB1=0
      LC1=0
      LD1=0
      AA2=999.0
      AB2=0.0
      LA2=0
      LB2=0
      LC2=0
      LD2=0
      DO III=1,1
        IF(III.EQ.2)THEN
           KCUT=6
           LCUT=1
        ENDIF
!
!  CHECK ALL POSSIBLE INTERIOR CUT POINTS  --  THE NP INPUT POINTS
!      ARE HELD FIXED.  THERE ARE NP POSSIBLE CUT-POINTS BEGINNING
!      WITH CUT-POINT 1 WHICH IS .001 UNITS TO THE LEFT OF POINT 1.
!      CUT-POINT 2 IS BETWEEN POINTS 1 AND 2, ETC.
!
!     1   2   3   4   5   6   7   8   9   10   11 ...... NP-1   NP
!    *  *   *   *   *   *   *   *   *   *    *                *
!    1  2   3   4   5   6   7   8   9  10   11  ...........  NP
!
!  IF KCUT=1 AND LCUT=6, THE FOLLOWING NP PATTERNS ARE TESTED
!
! PATTERN
!   1         6666666666666666666666
!   2         1666666666666666666666
!   3         1166666666666666666666
!   4         1116666666666666666666
!   5         1111666666666666666666
!   6         1111166666666666666666
!   7         1111116666666666666666
!   .           .....
!   .           .....
!   .           .....
!  NP-1       1111111111111111111166
!   NP        1111111111111111111116
!
!  BECAUSE THE PROGRAM TRIES BOTH KCUT=1/LCUT=6 AND KCUT=6/LCUT=1, THIS
!  WILL ALSO TEST THE ONE MISSING PATTERN ABOVE, VIZ., ALL "1"S.
!
!
        KSE=0
        KSV=0
        LSV=0
        LSE=0
        KMARK=1
        I=0
 10     I=I+1
        IF((I-KKNP-1).GE.0)GO TO 12
!  61  Z(I)=999.0
        Z(I)=999.0
        IF(I.EQ.1)THEN
           Y(I)=YSS(1)-.001
        ENDIF
        IF(I.GT.1)THEN
           Y(I)=(YSS(I)+YSS(I-1))/2.0
        ENDIF
!      IF(KA(I).EQ.9)GO TO 10
        IF(KMARK.EQ.1)THEN
           DO J=I,KKNP
             IF(KA(J).EQ.9)GO TO 3
             IF((LCUT-KA(J)).EQ.0)GO TO 5
             IF((KCUT-KA(J)).EQ.0)GO TO 6
             IF((KCUT-KA(J)).NE.0)GO TO 3
 5           LSV=LSV+1
             GO TO 3
 6           LSE=LSE+1
 3           CONTINUE
           END DO
           KMARK=0
           GO TO 31
        ENDIF
        IF(KA(I-1).EQ.KCUT)THEN
           KSV=KSV+1
           LSE=LSE-1
        ENDIF
        IF(KA(I-1).EQ.LCUT)THEN
           KSE=KSE+1
           LSV=LSV-1
        ENDIF
!
 31     CONTINUE
        LJEP(I)=I
        LV(I)=KSV
        LVB(I)=LSV
        LE(I)=KSE
        LEB(I)=LSE
        KT=LV(I)+LE(I)+LVB(I)+LEB(I)
        Z(I)=FLOAT(LE(I)+LEB(I))/FLOAT(KT)
        GO TO 10
 12     CONTINUE
!
!  FIND BEST CUT POINT
!
        CALL KPRSORT(Z,KKNP,LJEP)
        KIN=1
        MJEP(1)=1
        AAJEP(KIN)=Z(1)
        ABJEP(KIN)=Y(LJEP(1))
        ABABJEP(KIN)=ABS(ABJEP(KIN))
        LAJEP(KIN)=LV(LJEP(1))
        LBJEP(KIN)=LE(LJEP(1))
        LCJEP(KIN)=LVB(LJEP(1))
        LDJEP(KIN)=LEB(LJEP(1))
!
!  CHECK IF THERE ARE MULTIPLE CUT-POINTS WITH SAME CLASSIFICATION AND
!    SELECT THAT CUT-POINT CLOSEST TO THE INTERIOR OF THE SPACE
!
        DO I=2,KKNP
          IF(ABS(Z(1)-Z(I)).LE..000001)THEN
             KIN=KIN+1
             MJEP(KIN)=KIN
             AAJEP(KIN)=Z(I)
             ABJEP(KIN)=Y(LJEP(I))
             ABABJEP(KIN)=ABS(ABJEP(KIN))
             LAJEP(KIN)=LV(LJEP(I))
             LBJEP(KIN)=LE(LJEP(I))
             LCJEP(KIN)=LVB(LJEP(I))
             LDJEP(KIN)=LEB(LJEP(I))
             IF(KIN.GT.100)GO TO 633
             GO TO 63
          ENDIF
          IF(Z(1).LT.Z(I))GO TO 633
 63       CONTINUE
        END DO
 633    CONTINUE
        IF(KIN.EQ.1)THEN
           AA=AAJEP(1)
           AB=ABJEP(1)
           LA=LAJEP(1)
           LB=LBJEP(1)
           LC=LCJEP(1)
           LD=LDJEP(1)
        ENDIF
        IF(KIN.GT.1)THEN
           CALL KPRSORT(ABABJEP,KIN,MJEP)
           AA=AAJEP(MJEP(1))
           AB=ABJEP(MJEP(1))
           LA=LAJEP(MJEP(1))
           LB=LBJEP(MJEP(1))
           LC=LCJEP(MJEP(1))
           LD=LDJEP(MJEP(1))
        ENDIF
!
        IF(III.EQ.1)THEN
           AA1=AA
           AB1=AB
           LA1=LA
           LB1=LB
           LC1=LC
           LD1=LD
        ENDIF
        IF(III.EQ.2)THEN
           AA2=AA
           AB2=AB
           LA2=LA
           LB2=LB
           LC2=LC
           LD2=LD
        ENDIF
!
      END DO
!
      IF(AA1.LE.AA2)THEN
         KCCUT=1
         LCCUT=6
         AA=AA1
         AB=AB1
         LA=LA1
         LB=LB1
         LC=LC1
         LD=LD1
      ENDIF
      IF(AA1.GT.AA2)THEN
         KCCUT=6
         LCCUT=1
         AA=AA2
         AB=AB2
         LA=LA2
         LB=LB2
         LC=LC2
         LD=LD2
      ENDIF
      IF(IROTC.EQ.1)THEN
         KCCUT=1
         LCCUT=6
         AA=AA1
         AB=AB1
         LA=LA1
         LB=LB1
         LC=LC1
         LD=LD1
      ENDIF
      WSSY=AB
      JCL=LA
      JEL=LB
      JCH=LC
      JEH=LD
!
      DEALLOCATE(LE)
      DEALLOCATE(LJEP)
      DEALLOCATE(LV)
      DEALLOCATE(LVB)
      DEALLOCATE(LEB)
      DEALLOCATE(LAJEP)
      DEALLOCATE(LBJEP)
      DEALLOCATE(LCJEP)
      DEALLOCATE(LDJEP)
      DEALLOCATE(MJEP)
      DEALLOCATE(Z)
      DEALLOCATE(Y)
      DEALLOCATE(AAJEP)
      DEALLOCATE(ABJEP)
      DEALLOCATE(ABABJEP)
      RETURN
      END
!
! **************************************************************************
!  SUBROUTINE KPVOLUME2 -- CALCULATES VOLUME OF REGION CONTAINING LEGISLATOR
!                           POINT
!
! **************************************************************************
!
      SUBROUTINE KPVOLUME2(NUMMEMBERS,NUMVOTES,&
                           IX,NS,NP,NRCALL,NDUAL,XMAT,ZVEC,WS,LDATA, &
                         BBSAVE,KKSAVE,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),WS(NDUAL),ZVEC(NUMVOTES,25),&
                LDATA(NUMMEMBERS,NUMVOTES)
      DOUBLE PRECISION, ALLOCATABLE :: XXY(:)
      DOUBLE PRECISION, ALLOCATABLE :: TVEC(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: XMAT2(:,:)
      ALLOCATE(XXY(NRCALL))
      ALLOCATE(TVEC(NRCALL+111,25))
      ALLOCATE(XXX(NRCALL))
      ALLOCATE(XMAT2(NRCALL+111,25))
! 1000 FORMAT(3I4,20F7.3)
! 1001 FORMAT(' MAX ITER',3I5,F6.3,2X,100F7.3)
!
!      CALL GETTIM(ITIM1,ITIM2,ITIM3,ITIM4)
!      ISEED=1000*ITIM2+100*ITIM2+1000*ITIM3+200*ITIM4
!
!      CALL RNSET(ISEED)
!
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      KPDUDE=NP
      KKSAVE=-99
      BBSAVE=-999.0
!
! PUT POINTS ON CUTTING PLANES CLOSEST TO XI
!
      DO LM=1,100
        SUM=0.0
        DO K=1,NS
          TVEC(LM,K)=(RNUNF()-.50)
!      TVEC(LM,K)=(Rand()-.50)
          SUM=SUM+TVEC(LM,K)**2
        END DO
        DO K=1,NS
          TVEC(LM,K)=TVEC(LM,K)/SQRT(SUM)
        END DO
        XINC=.002
!
        DO KLM=1,500
          SUMBIG=0.0
          DO K=1,NS
            XMAT2(LM,K)=XMAT(IX,K)+XINC*TVEC(LM,K)
            SUMBIG=SUMBIG+XMAT2(LM,K)**2
          END DO
!
!  CHECK IF POINT MOVES OUTSIDE HYPERSPHERE
!
          IF(SUMBIG.GE.1.0)GO TO 933
          DO JX=1,NRCALL
            SUM=0.0
            SUM1=0.0
            DO K=1,NS
              SUM= SUM+ XMAT(IX,K)*ZVEC(JX,K)
              SUM1=SUM1+XMAT2(LM,K)*ZVEC(JX,K)
            END DO
            XXY(JX)=SUM
            XXX(JX)=SUM1
!
!  CHECK IF POINT MOVES OUTSIDE POLYTOPE
!
            IF(LDATA(IX,JX).EQ.0)GO TO 108
            IF(XXY(JX).LT.WS(JX))THEN
               IF(XXX(JX).GT.WS(JX))GO TO 933
            ENDIF
            IF(XXY(JX).GT.WS(JX))THEN
               IF(XXX(JX).LT.WS(JX))GO TO 933
            ENDIF
 108        CONTINUE
          END DO
          XINC=XINC+.001
        END DO
!      IF(IPRINT.EQ.1)WRITE(23,1001)IX,KLM,LM,XINC,(XMAT2(LM,K),K=1,NS), &
!                      (TVEC(LM,K),K=1,NS),(XMAT(IX,K),K=1,NS)
 933    CONTINUE
        SUM=0.0
        DO K=1,NS
          SUM=SUM+(XMAT2(LM,K)-XMAT(IX,K))**2
        END DO
        SUM=SQRT(SUM)
        BBSAVE=MAX(BBSAVE,SUM)
        KKSAVE=MAX0(KKSAVE,KLM)
!
      END DO
      DEALLOCATE(XXY)
      DEALLOCATE(TVEC)
      DEALLOCATE(XXX)
      DEALLOCATE(XMAT2)
      RETURN
      END
!
!  ************************************************************************
!    SUBROUTINE KPRSEARCH -- DOES LOCAL SEARCH ON NORMAL VECTORS
!
!  ************************************************************************
!
      SUBROUTINE KPRSEARCH(NUMMEMBERS,NUMVOTES,&
                           NP,NRCALL,NS,NDUAL,XINC,JX,NCUT,KPCUT,LPCUT, &
                      XMAT,ZVEC,WS,KDOWN,KEQUAL,KUP,JXERROR, &
                      WSNEW,LDATA,LERROR)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),ZVEC(NUMVOTES,25),WS(NDUAL), &
                LERROR(NUMMEMBERS,NUMVOTES),LDATA(NUMMEMBERS,NUMVOTES)
!
      INTEGER, ALLOCATABLE :: LLL(:)
      INTEGER, ALLOCATABLE :: MVOTE(:)
      INTEGER, ALLOCATABLE :: LLV(:)
      INTEGER, ALLOCATABLE :: LLVB(:)
      INTEGER, ALLOCATABLE :: LLE(:)
      INTEGER, ALLOCATABLE :: LLEB(:)
      INTEGER, ALLOCATABLE :: MM(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEL(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZS(:)
      DOUBLE PRECISION, ALLOCATABLE :: UUU(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZZZ(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZVEC2(:,:)
      ALLOCATE(LLL(NDUAL))
      ALLOCATE(MVOTE(NDUAL))
      ALLOCATE(LLV(NDUAL))
      ALLOCATE(LLVB(NDUAL))
      ALLOCATE(LLE(NDUAL))
      ALLOCATE(LLEB(NDUAL))
      ALLOCATE(MM(NP))
      ALLOCATE(XJCH(25))
      ALLOCATE(XJEH(25))
      ALLOCATE(XJCL(25))
      ALLOCATE(XJEL(25))
      ALLOCATE(ZS(NDUAL))
      ALLOCATE(UUU(NDUAL,25))
      ALLOCATE(XXX(NDUAL))
      ALLOCATE(ZZZ(NP))
      ALLOCATE(ZVEC2(NRCALL,25))
!
!  210 FORMAT(I5,10F12.3)
! 1091 FORMAT(' INVERSE MATRIX ERROR',I4,I5,I8,2F10.4)
! 1099 FORMAT(I3,I5,I3,2I4)
! 1103 FORMAT(' MIDPOINT DECOMPOSITION',5I6)
! 1212 FORMAT(I3,I5,7I4)
! 3909 FORMAT(I5,I3,6I4,2I8,5I5)
!
!      XINC=0.05
!
      IF(XINC.EQ.1.0) XINC=1.0  !hack to get rid of warnings
      KDOWN=0
      KEQUAL=0
      KUP=0
      DO IJL=1,NCUT
        KQUIT=IJL
!
!  SET-UP FOR PHASE 2
!
        SUM=0.0
        DO K=1,NS
          ZZZ(K)=(RNUNF()-.50)*0.4 + ZVEC(JX,K)
!      ZZZ(K)=(Rand()-.50)*0.4 + ZVEC(JX,K)
          SUM=SUM+ZZZ(K)**2
        END DO
        SUM2=0.0
        DO K=1,NS
          ZZZ(K)=ZZZ(K)/SQRT(SUM)
          SUM2=SUM2+(ZVEC(JX,K)-ZZZ(K))**2
        END DO
        SUM2=SQRT(SUM2)
        SUM3=0.0
        DO K=1,NS
          ZVEC2(JX,K)=ZVEC(JX,K)+(XINC/SUM2)*(ZZZ(K)-ZVEC(JX,K))
          SUM3=SUM3+ZVEC2(JX,K)**2
        END DO
        DO K=1,NS
          ZVEC2(JX,K)=ZVEC2(JX,K)/SQRT(SUM3)
        END DO
!
        DO K=1,NS
          UUU(IJL,K)=ZVEC2(JX,K)
        END DO
        DO I=1,NP
          SUM=0.0
          DO K=1,NS
            SUM=SUM+XMAT(I,K)*ZVEC2(JX,K)
          END DO
!
!  SAVE PROJECTION VECTORS -- LEGISLATOR BY ROLL CALL MATRIX
!
          LLL(I)=I
          XXX(I)=SUM
          MM(I)=LDATA(I,JX)
          IF(LDATA(I,JX).EQ.0)MM(I)=9
        END DO
!
!  SORT PROJECTION VECTOR (Y-HAT)
!
!
        CALL KPRSORT(XXX,NP,LLL)
        DO I=1,NP
          MVOTE(I)=MM(LLL(I))
        END DO
!
!
!  CALCULATE CLASSIFICATION ERRORS FOR BEST SOLUTION FROM PHASE 1
!
!
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        IROTC=0
        CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                    NP,NRCALL,NP,NRCALL,NS,NDUAL,JX,XMAT,XXX,MVOTE,WS, &
                    LLV,LLVB,LLE,LLEB,LERROR, &
                    ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LLL, &
                    XJCH,XJEH,XJCL,XJEL)
!
        IF(JEH+JEL.LT.JXERROR)THEN
           KDOWN=KDOWN+1
           JXERROR=JEH+JEL
           DO K=1,NS
             ZVEC(JX,K)=ZVEC2(JX,K)
           END DO
           WSNEW=WS(JX)
           KPCUT=KCUT
           LPCUT=LCUT
           GO TO 998
        ENDIF
        IF(JEH+JEL.EQ.JXERROR)KEQUAL=KEQUAL+1
        IF(JEH+JEL.GT.JXERROR)KUP=KUP+1
!
 998    CONTINUE
      END DO
!
      DEALLOCATE(LLL)
      DEALLOCATE(MVOTE)
      DEALLOCATE(LLV)
      DEALLOCATE(LLVB)
      DEALLOCATE(LLE)
      DEALLOCATE(LLEB)
      DEALLOCATE(MM)
      DEALLOCATE(XJCH)
      DEALLOCATE(XJEH)
      DEALLOCATE(XJCL)
      DEALLOCATE(XJEL)
      DEALLOCATE(ZS)
      DEALLOCATE(UUU)
      DEALLOCATE(XXX)
      DEALLOCATE(ZZZ)
      DEALLOCATE(ZVEC2)
      RETURN
      END
!
!  ************************************************************************
!    SUBROUTINE KPZVECSTRT -- PRODUCES STARTS FOR THE NORMAL VECTORS USING
!                           SIMPLE OLS
!
!  ************************************************************************
!
      SUBROUTINE KPZVECSTRT(NUMMEMBERS,NUMVOTES,&
                            NP,NRCALL,NS,NDUAL,XMAT,ZVEC,LDATA,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION XMAT(NUMMEMBERS,25),ZVEC(NUMVOTES,25),&
                              LDATA(NUMMEMBERS,NUMVOTES)
!
      INTEGER, ALLOCATABLE :: MM(:)
      INTEGER, ALLOCATABLE :: LLL(:)
      INTEGER, ALLOCATABLE :: IWORK(:)
      INTEGER, ALLOCATABLE :: MDATA(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XXX(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV1(:)
      DOUBLE PRECISION, ALLOCATABLE :: FV2(:)
      DOUBLE PRECISION, ALLOCATABLE :: VCOV(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: VCOV2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: UL(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: WVEC2(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZMAT2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: ZVEC2(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: BB(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: VVV(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: YY(:)
      DOUBLE PRECISION, ALLOCATABLE :: V(:)
      DOUBLE PRECISION, ALLOCATABLE :: WORK(:)
      ALLOCATE(MM(NP))
      ALLOCATE(LLL(NP))
      ALLOCATE(MDATA(NP,NRCALL))
      ALLOCATE(XXX(NRCALL))
      ALLOCATE(FV1(NP))
      ALLOCATE(FV2(NP))
      ALLOCATE(VCOV(25,25))
      ALLOCATE(VCOV2(25,25))
      ALLOCATE(VVV(25,25))
      ALLOCATE(UL(25,25))
      ALLOCATE(WVEC2(25))
      ALLOCATE(ZMAT2(25,25))
      ALLOCATE(ZVEC2(NRCALL,25))
      ALLOCATE(BB(25,NP))
      ALLOCATE(YY(NP))
      ALLOCATE(V(25))
      ALLOCATE(IWORK(8*25*25+1875))
      ALLOCATE(WORK(8*25*25+1875))
!
      LWORK=8*25*25+1875
!
!  210 FORMAT(I5,10F12.3)
! 1012 FORMAT(' DECOMPOSITION OF LEGISLATOR MATRIX',3I4)
! 1091 FORMAT(' INVERSE MATRIX ERROR',F10.4)
! 1107 FORMAT(' TOTAL NONMISSING AND MISSING OBSERVATIONS',2I8)
!
!  FILL IN MISSING MATRIX ENTRIES
!
!  FIND 10 CLOSEST VOTERS
!
!  IF MISSING VOTE IMPUTE LIKELIEST CHOICE USING NEAREST 5 DISTANCES
!
!
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      IF(NDUAL.EQ.1) NDUAL=1  !hack to get rid of warnings
      K7MOA=MIN(NP,10)
      NMISS=0
      DO JX=1,NRCALL
        DO I=1,NP
          MDATA(I,JX)=LDATA(I,JX)
          IF(LDATA(I,JX).EQ.0)THEN
             NMISS=NMISS+1
             DO II=1,NP
               SUM=0.0
               DO K=1,NS
                 SUM=SUM+(XMAT(I,K)-XMAT(II,K))**2
               END DO
               FV1(II)=SUM
               LLL(II)=II
             END DO
             CALL KPRSORT(FV1,NP,LLL)
             MYES=0
             MNO=0
             MMISS=0
             DO K=1,K7MOA
               IF(LDATA(LLL(K),JX).EQ.0)GO TO 81
               MMISS=MMISS+1
               IF(LDATA(LLL(K),JX).EQ.1)MYES=MYES+1
               IF(LDATA(LLL(K),JX).EQ.6)MNO =MNO +1
               IF(K.GT.5.AND.MMISS.GT.1)GO TO 82
 81            CONTINUE
             END DO
 82          CONTINUE
             IF(MYES.GE.MNO)MDATA(I,JX)=1
             IF(MYES.LT.MNO)MDATA(I,JX)=6
             IF(LDATA(I,JX).NE.0)MDATA(I,JX)=LDATA(I,JX)
          ENDIF
        END DO
      END DO
      KMISS=NP*NRCALL-NMISS
!      IF(IPRINT.EQ.1)WRITE(23,1107)KMISS,NMISS
!
!
!    (X'X)
!
      DO K=1,NS
        DO L=1,NS
          SUM=0.0
          DO I=1,NP
            SUM=SUM+XMAT(I,K)*XMAT(I,L)
          END DO
          VCOV(K,L)=SUM
          VCOV2(K,L)=SUM
        END DO
      END DO
!
!  EIGENVECTOR-EIGENVALUE DECOMPOSITION OF LEGISLATOR COORDINATES
!
      CALL DGESDD('S',NS,NS,VCOV2,25,WVEC2,ZMAT2, &
                 25,VVV,25,WORK,LWORK,IWORK,IRANK)
!
!      CALL KPRS(25,NS,VCOV,WVEC2,1,ZMAT2,FV1,FV2,IER)
!      IF(IPRINT.EQ.1)THEN
!         WRITE(23,1012)NS,NP,IRANK
!         DO 37 I=1,NS
!         WRITE(*,210)I,WVEC2(I),ZMAT2(I,1),ZMAT2(I,2),VVV(I,1),VVV(I,2)
!         WRITE(23,210)I,WVEC2(I),ZMAT2(I,1),ZMAT2(I,2),VVV(I,1),VVV(I,2)
!  37     CONTINUE
!      ENDIF
!
!  (X'X)-1
!
      DO I=1,NS
        DO K=1,NS
          SUM=0.0
          DO J=1,NS
!      IF(ABS(WVEC2(NS+1-J)).GT..0001)THEN
!          SUM=SUM+ZMAT2(K,NS+1-J)*(1.0/WVEC2(NS+1-J))*ZMAT2(I,NS+1-J)
            IF(ABS(WVEC2(J)).GT..0001)THEN
                SUM=SUM+ZMAT2(K,J)*(1.0/WVEC2(J))*ZMAT2(I,J)
            ENDIF
          END DO
          UL(I,K)=SUM
        END DO
        UL(I,K)=SUM
      END DO
!
!  MATRIX INVERSION CHECK  (X'X)-1(X'X) = I
!
      ASUM=0.0
      DO I=1,NS
        DO J=1,NS
          SUM=0.0
          DO K=1,NS
            SUM=SUM+UL(J,K)*VCOV(K,I)
          END DO
          IF(I.EQ.J)ASUM=ASUM+ABS(1.0-SUM)
          IF(I.NE.J)ASUM=ASUM+ABS(SUM)
        END DO
      END DO
!      IF(IPRINT.EQ.1)WRITE(23,1091)ASUM
!
!  (X'X)-1*X'
!
      DO I=1,NP
        DO J=1,NS
          SUM=0.0
          DO JJ=1,NS
            SUM=SUM+UL(J,JJ)*XMAT(I,JJ)
          END DO
          BB(J,I)=SUM
        END DO
      END DO
!
      DO JX=1,NRCALL
        KYES=0
        KNO=0
        YBAR=0.0
!
!  GET Y-VECTOR -- YES'S AND NO'S SUCH THAT SUM OF Y = 0 -- ELIMINATES
!         THE INTERCEPT TERM -- THE IMPUTED YES/NO FROM ABOVE IS USED
!         FOR MISSING DATA SO THAT THE SAME X MATRIX CAN BE USED FOR
!         EVERY ROLL CALL
!
        DO I=1,NP
          IF(MDATA(I,JX).EQ.1)KYES=KYES+1
          IF(MDATA(I,JX).EQ.6)KNO=KNO+1
        END DO
        DO I=1,NP
          IF(MDATA(I,JX).EQ.1)YY(I)=1.0/FLOAT(KYES)
          IF(MDATA(I,JX).EQ.6)YY(I)=-1.0/FLOAT(KNO)
        END DO
!
!  BETA-HAT = V(.) = (X'X)-1*X'Y = A-1*U'Y
!
        DO K=1,NS
          SUM=0.0
          DO J=1,NP
            SUM=SUM+BB(K,J)*YY(J)
          END DO
          V(K)=SUM
        END DO
!
!  NORMALIZE BETA VECTOR SO ITS OF UNIT LENGTH -- THIS DEFINES A POINT
!    ON THE UNIT HYPERSPHERE SO THAT THE BETA-VECTOR CAN BE USED DIRECTLY
!    TO CALCULATE THE PROJECTION VECTOR Y-HAT BELOW
!
        SUM=0.0
        DO K=1,NS
          SUM=SUM+V(K)**2
        END DO
!
!
        DO K=1,NS
          V(K+NS)=V(K)/SQRT(SUM)
!
!  SELECT VECTOR MAPPING SUCH THAT IT IS ON THE + HEMISPHERE
!
          IF(V(1).LT.0.0)V(K+NS)=V(K+NS)*(-1.0)
          ZVEC(JX,K)=V(K+NS)
        END DO
!
      END DO
!
      DEALLOCATE(MM)
      DEALLOCATE(LLL)
      DEALLOCATE(MDATA)
      DEALLOCATE(XXX)
      DEALLOCATE(FV1)
      DEALLOCATE(FV2)
      DEALLOCATE(VCOV)
      DEALLOCATE(VCOV2)
      DEALLOCATE(UL)
      DEALLOCATE(WVEC2)
      DEALLOCATE(ZMAT2)
      DEALLOCATE(ZVEC2)
      DEALLOCATE(BB)
      DEALLOCATE(YY)
      DEALLOCATE(V)
      DEALLOCATE(VVV)
      DEALLOCATE(WORK)
      DEALLOCATE(IWORK)
      RETURN
      END
!
!  ************************************************************************
!    KPEDITH SUBROUTINE--PERFORMS ONE DIMENSION NOMINAL UNFOLDING -- FINDS
!                      OPTIMAL CLASSIFICATIONS FOR MATRIX OF SENATE
!                      PAIRS
!  ************************************************************************
!
      SUBROUTINE KPEDITH(NUMMEMBERS,NUMVOTES,&
                         NP,NRCALL,NS,NDUAL,XMAT,X,XPT,ZPT,AB,KTOTC, &
                       KCUTTER,LCUTTER,LERROR,LDATA,MSUM,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION X(NDUAL),XYM(NRCALL),XNM(NRCALL),YSS(NDUAL), &
                KA(NDUAL),WS(NDUAL),L(NDUAL),LL(NDUAL), &
                LERROR(NUMMEMBERS,NUMVOTES),XMAT(NUMMEMBERS,25),&
                ZS(NDUAL), &
                LLV(NDUAL),LLE(NDUAL),LLVB(NDUAL),LLEB(NDUAL), &
                KKA(NDUAL),KYES(NRCALL),KNO(NRCALL),XCTL(50), &
                LV(NDUAL),MM(NDUAL),ZPT(NUMVOTES),XPT(NDUAL), &
                YS(NDUAL),KCUTTER(NUMVOTES),LCUTTER(NUMVOTES), &
                XJCH(25),XJEH(25),XJCL(25),XJEL(25), &
                YSJAVA(NDUAL),MMJAVA(NDUAL),LJAVA(NDUAL), &
                LDATA(NUMMEMBERS,NUMVOTES)
      DOUBLE PRECISION:: XBAD=0.0
      INTEGER:: KK=0
!
!  330 FORMAT(' WARNING--MISMATCH ON NUMBER OF VOTES READ',2I5)
!  340 FORMAT(' WARNING--MISMATCH ON ERROR PERCENTAGES',I5,2F7.3)
!  825 FORMAT(I4,I5,2I7,6F7.3)
! 8250 FORMAT(I3,' ROLL CALLS ',I3,2I8,5F7.3)
! 8251 FORMAT(I3,' ROLL CALLS ',I3,2I8,5F9.5)
! 8252 FORMAT(I3,' LEGISLATORS',I3,2I8,8F9.5)
! 8253 FORMAT(I3,' LEGISLATORS',I3,2I8,6F7.3)
!
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      CALL ECHOEVENT(12)
      CALL FLUSHCON()
      CALL PROCEVENT()
      KSTOPR=1
      KSTOP=14
      NV=NRCALL
      DO I=1,NP
        YSS(I)=X(I)
        XPT(I)=X(I)
        L(I)=I
        LL(I)=I
!      WRITE(11,6655)I,X(I),YSS(I),XPT(I),L(I),LL(I)
! 6655 FORMAT(I4,3F10.4,2I6)
      END DO
!
      CALL KPRSORT(YSS,NP,LL)
!
!
      ITR=0
 121  CONTINUE
      ITR=ITR+1
      XLOW=YSS(1)
      XHIGH=YSS(NP)
      KT=0
      KTT=0
      JCH=0
      JEH=0
      JCL=0
      JEL=0
      MSUM=0
      NSUM=0
      IVOT=0
      NUNAM=0
!
!
!  ROLL CALL LOOP -- ESTIMATE BEST CUTTING POINT GIVEN FIXED LEGISLATOR
!                    CONFIGURATION
!
!      CALL ECHOEVENT(13)
!      CALL FLUSHCON()
!      CALL PROCEVENT()
      DO IIII=1,NV
        IVOT=IVOT+1
        ESUM=0.0
        FSUM=0.0
        KSUM=0
        LSUM=0
!
!  RECODE AND COMPUTE YES AND NO MEANS
!
        DO J=1,NP
          LV(J)=LDATA(J,IVOT)
          IF(LV(J).EQ.1.OR.LV(J).EQ.2.OR.LV(J).EQ.3)KK=1
          IF(LV(J).EQ.4.OR.LV(J).EQ.5.OR.LV(J).EQ.6)KK=6
          IF(LV(J).EQ.0.OR.LV(J).EQ.7.OR.LV(J).EQ.8.OR.LV(J).EQ.9)KK=9
          KKA(J)=KK
          IF(KK.EQ.1)ESUM=ESUM+XPT(J)
          IF(KK.EQ.1)KSUM=KSUM+1
          IF(KK.EQ.6)LSUM=LSUM+1
          IF(KK.EQ.6)FSUM=FSUM+XPT(J)
        END DO
        DO J=1,NP
          KA(J)=KKA(LL(J))
        END DO
        KYES(IVOT)=KSUM
        KNO(IVOT)=LSUM
!
!  CHECK FOR UNANIMOUS VOTES AND DISCARD THEM
!
        IF(KSUM.EQ.0.OR.LSUM.EQ.0)XYM(IVOT)=99.0
        IF(KSUM.EQ.0.OR.LSUM.EQ.0)XNM(IVOT)=99.0
        IF(KSUM.EQ.0.OR.LSUM.EQ.0)NUNAM=NUNAM+1
        IF(KSUM.EQ.0.OR.LSUM.EQ.0)GO TO 600
!
!  STORE YES AND NO MEANS
!
        XYM(IVOT)=ESUM/FLOAT(KSUM)
        XNM(IVOT)=FSUM/FLOAT(LSUM)
!
!  CUMULATIVE SUM OF MAJORITY VOTE BY ROLL CALL
!
        IF((KSUM-LSUM).LT.0)GO TO 201
!  202 MSUM=MSUM+KSUM
        MSUM=MSUM+KSUM
        GO TO 203
 201    MSUM=MSUM+LSUM
 203    CONTINUE
!
!  BEGIN JANICE LOOP FOR ROLL CALLS
!
!  GET ONE POINT RESULTS
!
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        KJAVA=0
        DO JAVA=1,NP
          IF(KA(JAVA).NE.9)THEN
            KJAVA=KJAVA+1
            YSJAVA(KJAVA)=YSS(JAVA)
            MMJAVA(KJAVA)=KA(JAVA)
            LJAVA(KJAVA)=LL(JAVA)
          ENDIF
        END DO
        YSJAVA(KJAVA+1)=YSJAVA(KJAVA)+.01
        MMJAVA(KJAVA+1)=9
        LJAVA(KJAVA+1)=NP+1
        NV1=KJAVA+1
        IROTC=0
!
        CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                    NV1,NV,NP,NRCALL,NS,NDUAL,IVOT,XMAT,YSJAVA,MMJAVA,WS, &
                    LLV,LLVB,LLE,LLEB,LERROR, &
                    ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LJAVA, &
                    XJCH,XJEH,XJCL,XJEL)
        KT=KT+JCH+JCL+JEH+JEL
        KTT=KTT+JEH+JEL
        KTOTC=KT
        KCUTTER(IVOT)=KCUT
        LCUTTER(IVOT)=LCUT
!
!  END OF ROLL CALL LOOP
!
 600    CONTINUE
      END DO
!
!
      XT=FLOAT(KT)
      XTT=FLOAT(KTT)
      AB=1.0-(XTT/XT)
      XSUM=FLOAT(MSUM)
      XSUM=XSUM/XT
      YSUM=AB-XSUM
      PRE1=YSUM/(1.0-XSUM)
!
!  WRITE OUT: ITERATION #; NUMBER OF VOTES;
!             TOTAL CHOICES; TOTAL ERROR CHOICES; PERCENT CORRECT;
!             PERCENT MAJORITY MODEL; PROPORTIONAL REDUCTION IN ERROR
!
!      IF(NS.GT.1.AND.IPRINT.EQ.1)THEN
!         WRITE(23,825)ITR,IVOT,KT,KTT,AB,XSUM,PRE1,XLOW,XHIGH
!      ENDIF
!      IF(NS.EQ.1.AND.IPRINT.EQ.1)THEN
!         WRITE(23,8251)ITR,NS,KTT,KT,1.0-AB,AB,PRE1
!      ENDIF
!      IF(IVOT.NE.NV)THEN
!         WRITE(*,330)IVOT,NV
!         STOP
!      ENDIF
      XCTL(ITR)=AB
!
!
!
!  WRITE ROLL CALL MARGINS AND ERRORS TO DISK
!
      DO I=1,NV
        IF(KYES(I).LE.KNO(I))KMIN=KYES(I)
        IF(KYES(I).GT.KNO(I))KMIN=KNO(I)
        KRITE=LLV(I)+LLVB(I)
        KWRONG=LLE(I)+LLEB(I)
        IF((KRITE+KWRONG).GT.0.0)XBAD=FLOAT(KWRONG)/FLOAT(KRITE+KWRONG)
        IF(KYES(I).EQ.0.OR.KNO(I).EQ.0)XBAD=0.0
        IF(KYES(I).EQ.0.OR.KNO(I).EQ.0)ZS(I)=0.0
        XMIN=0.0
        IF((KYES(I)+KNO(I)).GT.0)XMIN=FLOAT(KMIN)/FLOAT(KYES(I)+KNO(I))
!      IF(ABS(XBAD-ZS(I)).GT..001)THEN
!         WRITE(*,340)I,XBAD,ZS(I)
!         STOP
!      ENDIF
        AAA=ABS(WS(I)-XLOW)
        BBB=ABS(WS(I)-XHIGH)
        IF(XBAD.GT.XMIN.AND.AAA.LT.BBB)WS(I)=XLOW
        IF(XBAD.GT.XMIN.AND.AAA.GE.BBB)WS(I)=XHIGH
        IF(XBAD.GT.XMIN)XBAD=XMIN
        IF(KYES(I).EQ.0.OR.KNO(I).EQ.0)WS(I)=0.0
        IF(KSTOPR.EQ.1)GO TO 130
!
!  WRITE OUT CONGRESS #, VOTE #, YES #, NO #, PROPORTION IN MINORITY,
!            PROPORTION ERROR, CUT POINT
!
!      WRITE(11,800)I,KYES(I),KNO(I),XMIN,XBAD,WS(I),XYM(I),XNM(I)
!  800 FORMAT(I5,2I6,5F7.3)
 130    CONTINUE
      END DO
!
!
!
!  BEGIN JANICE LOOP FOR LEGISLATORS
!
!
!
!      CALL ECHOEVENT(14)
!      CALL FLUSHCON()
!      CALL PROCEVENT()
      ITR=ITR+1
      DO I=1,NV
        YS(I)=WS(I)
        ZPT(I)=WS(I)
        L(I)=I
      END DO
!
!  SORT ROLL CALL MIDPOINTS
!
      CALL KPRSORT(YS,NV,L)
!
      KT=0
      KTT=0
      JCH=0
      JCL=0
      JEH=0
      JEL=0
      DO I=1,NP
        IVOT=I
!
!
        DO J=1,NV
          LV(J)=LDATA(IVOT,J)
          IF(LV(J).EQ.1.OR.LV(J).EQ.2.OR.LV(J).EQ.3)KK=1
          IF(LV(J).EQ.4.OR.LV(J).EQ.5.OR.LV(J).EQ.6)KK=6
          IF(LV(J).EQ.0.OR.LV(J).EQ.7.OR.LV(J).EQ.8.OR.LV(J).EQ.9)KK=9
          IF(XYM(J).EQ.99.0.OR.XNM(J).EQ.99.0)KK=9
          KA(J)=KK
        END DO
!
!  DETERMINE DIRECTIONALITY FOR EACH MIDPOINT -- STORE IN MM VECTOR
!
!
!  CUMULATIVE SUM OF MAJORITY VOTE BY INDIVIDUALS
!
        DO J=1,NV
!      IF(XYM(L(J))-XNM(L(J)))163,162,162
!  163 KCUT=1
!      LCUT=6
!      GO TO 164
!  162 KCUT=6
!      LCUT=1
           KCUT=KCUTTER(L(J))
           LCUT=LCUTTER(L(J))
!
!  NOTE THAT THIS CODING OF MM(.) PRODUCES THE PATTERNS
!
!          6666666666...
!          1666666666...
!          1166666666...
!          1116666666...
!          1111666666...
!          1111166666...
!
!  ETC., IF THE LEGISLATOR IS VOTING PERFECTLY
!
!  164 IF(KA(L(J)).EQ.KCUT)MM(J)=6
          IF(KA(L(J)).EQ.KCUT)MM(J)=6
          IF(KA(L(J)).EQ.LCUT)MM(J)=1
          IF(KA(L(J)).EQ.9)MM(J)=9
          IF(KYES(L(J)).LT.KNO(L(J)).AND.KA(L(J)).EQ.6)NSUM=NSUM+1
          IF(KYES(L(J)).GE.KNO(L(J)).AND.KA(L(J)).EQ.1)NSUM=NSUM+1
        END DO
!
!  GET ONE POINT RESULTS
!
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        KJAVA=0
        DO JAVA=1,NV
          IF(MM(JAVA).NE.9)THEN
            KJAVA=KJAVA+1
            YSJAVA(KJAVA)=YS(JAVA)
            MMJAVA(KJAVA)=MM(JAVA)
            LJAVA(KJAVA)=L(JAVA)
          ENDIF
        END DO
!
!  TRICK JANICE TO FIX ROLL CALL PROBLEM
!
        YSJAVA(KJAVA+1)=YSJAVA(KJAVA)+.01
        MMJAVA(KJAVA+1)=9
        LJAVA(KJAVA+1)=NV+1
        NV1=KJAVA+1
        IROTC=1
!
        CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                    NV1,NP,NP,NRCALL,NS,NDUAL,IVOT,XMAT,YSJAVA,MMJAVA,WS, &
                    LLV,LLVB,LLE,LLEB,LERROR, &
                    ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LJAVA, &
                    XJCH,XJEH,XJCL,XJEL)
        KT=KT+JCH+JCL+JEH+JEL
        KTT=KTT+JEH+JEL
!
!  END OF LEGISLATOR LOOP
!
      END DO
!
!  CALCULATE REGRESSION OF PREVIOUS LEGISLATOR CONFIGURATION ON
!        CURRENT LEGISLATOR CONFIGURATION
!
      ASUM=0.0
      BSUM=0.0
      CSUM=0.0
      DSUM=0.0
      ESUM=0.0
      KKNP=0
      DO I=1,NP
        LL(I)=I
!
        YSS(I)=WS(I)
        KKNP=KKNP+1
        ASUM=ASUM+XPT(I)*WS(I+NP)
        BSUM=BSUM+XPT(I)
        CSUM=CSUM+WS(I+NP)
        DSUM=DSUM+XPT(I)*XPT(I)
        ESUM=ESUM+WS(I+NP)*WS(I+NP)
        XPT(I)=WS(I)
      END DO
      AA=FLOAT(KKNP)*ASUM-BSUM*CSUM
      BB=FLOAT(KKNP)*DSUM-BSUM*BSUM
      CC=FLOAT(KKNP)*ESUM-CSUM*CSUM
      IF(BB*CC.GT.0.0)RR=(AA*AA)/(BB*CC)
      BETA=AA/CC
      ALFA=(BSUM-BETA*CSUM)/FLOAT(KKNP)
      XT=FLOAT(KT)
      XTT=FLOAT(KTT)
      AB=1.0-(XTT/XT)
      XSUM=FLOAT(NSUM)/FLOAT(KT)
      YSUM=AB-XSUM
      PRE=YSUM/(1.0-XSUM)
      NUNP=NP-KKNP
!
!  WRITE OUT: ITERATION #; NUMBER OF LEGISLATORS;
!             TOTAL CHOICES; TOTAL ERROR CHOICES; PERCENT CORRECT;
!             PERCENT MAJORITY MODEL; PROPORTIONAL REDUCTION IN ERROR
!
!      IF(NS.GT.1.AND.IPRINT.EQ.1)THEN
!         WRITE(23,825)ITR,NP,KT,KTT,AB,XSUM,PRE,ALFA,BETA,RR
!      ENDIF
!      IF(NS.EQ.1.AND.IPRINT.EQ.1)THEN
!         WRITE(23,8252)ITR,NS,KTT,KT,1.0-AB,AB,PRE,SQRT(RR)
!      ENDIF
      XCTL(ITR)=AB
!
!  WRITE LEGISLATOR MARGINS TO DISK
!
      DO I=1,NP
        KHIGH=LLV(I)+LLE(I)
        KLOW=LLVB(I)+LLEB(I)
        IF(KHIGH.LE.KLOW)XMIN=FLOAT(KHIGH)/FLOAT(KHIGH+KLOW)
        IF(KHIGH.GT.KLOW)XMIN=FLOAT(KLOW)/FLOAT(KHIGH+KLOW)
        XBAD=FLOAT(LLE(I)+LLEB(I))/FLOAT(KHIGH+KLOW)
        AAA=ABS(WS(I)-XLOW)
        BBB=ABS(WS(I)-XHIGH)
        IF(XBAD.GT.XMIN.AND.AAA.LT.BBB)WS(I)=XLOW
        IF(XBAD.GT.XMIN.AND.AAA.GE.BBB)WS(I)=XHIGH
        IF(XBAD.GT.XMIN)XBAD=XMIN
!  729 CONTINUE
        CONTINUE
        IF(KSTOPR.EQ.1)GO TO 128
!      WRITE(11,800)I,KHIGH,KLOW,XMIN,XBAD,WS(I)
 128    CONTINUE
      END DO
      CALL KPRSORT(YSS,NP,LL)
      AA=(YSS(1)+YSS(NP))/2.0
      BB=YSS(NP)-AA
      DO I=1,NP
        YSS(I)=(YSS(I)-AA)/BB
        XPT(I)=(XPT(I)-AA)/BB
        WS(I)=(WS(I)-AA)/BB
        WS(I+NP)=WS(I)
      END DO
      IF(ITR.LE.5)GO TO 121
      IF(KSTOPR.EQ.0)RETURN
      IF((XCTL(ITR)-XCTL(ITR-2)).LE..0001)KSTOPR=0
      IF(ITR.LE.KSTOP)GO TO 121
      RETURN
      END
!
!
!  ***********************************************************************
!     SUBROUTINE KPPERM---GENERATES THE SEQUENCE OF PERMUTATIONS OF N
!         DISTINGUISHABLE OBJECTS, ONE AT A TIME, IN LEXOGRAPHIC ORDER.
!  ***********************************************************************
!
!
      SUBROUTINE KPPERM(N,K,M)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
      DIMENSION K(N),M(N)
!
!  AT FIRST CALL M(1)=0
!
!  K CONTAINS THE VECTOR THAT IS TO BE PERMUTED
!
      IF(M(1).NE.0)GO TO 2
      DO I=2,N
        M(I)=1
      END DO
 2    M(1)=M(1)+1
      IF(M(2).NE.1)GO TO 3
      M(2)=2
      J=K(1)
      K(1)=K(2)
      K(2)=J
      RETURN
 3    DO I=2,N
        IF(M(I).NE.I)GO TO 5
        M(I)=1
      END DO
      M(1)=0
      I=N
      GO TO 6
 5    L=M(I)
      J=K(L)
      K(L)=K(I)
      K(I)=J
      M(I)=L+1
      I=I-1
 6    L=1
 7    J=K(L)
      K(L)=K(I)
      K(I)=J
      L=L+1
      I=I-1
      IF(L.LT.I)GO TO 7
      RETURN
      END
!
!
!  ********************************************************************
!    SUBROUTINE KPSHARPEN -- PERMUTES BLOCKS OF 5-ADJACENT LEGISLATORS
!                            TO SHARPEN THE RANK ORDERING
!  ********************************************************************
!
      SUBROUTINE KPSHARPEN(NUMMEMBERS,NUMVOTES,&
                           NNPERM,NP,NRCALL,NS,NDUAL,KCUTTER,LCUTTER, &
                          XMAT0,ZPT,WS,LDATA,LERROR,IPRINT)
      IMPLICIT DOUBLE PRECISION(A-H,O-Z)
!
      DIMENSION KCUTTER(NUMVOTES),LCUTTER(NUMVOTES),&
                XMAT0(NUMMEMBERS,25), &
                ZPT(NUMVOTES),WS(NDUAL),LDATA(NUMMEMBERS,NUMVOTES), &
                LERROR(NUMMEMBERS,NUMVOTES),XMAT(NUMMEMBERS,25)
      INTEGER:: KK=0
!
      INTEGER, ALLOCATABLE :: KPERM(:)
      INTEGER, ALLOCATABLE :: MPERM(:)
      INTEGER, ALLOCATABLE :: KBIGPERM(:,:)
      INTEGER, ALLOCATABLE :: MMJAVA(:)
      INTEGER, ALLOCATABLE :: LLV(:)
      INTEGER, ALLOCATABLE :: LLVB(:)
      INTEGER, ALLOCATABLE :: LLE(:)
      INTEGER, ALLOCATABLE :: LLEB(:)
      INTEGER, ALLOCATABLE :: L(:)
      INTEGER, ALLOCATABLE :: LL(:)
      INTEGER, ALLOCATABLE :: LJAVA(:)
      INTEGER, ALLOCATABLE :: LV(:)
      INTEGER, ALLOCATABLE :: KKA(:)
      INTEGER, ALLOCATABLE :: KA(:)
      INTEGER, ALLOCATABLE :: LLSAVE(:)
      INTEGER, ALLOCATABLE :: LTEST(:)
      INTEGER, ALLOCATABLE :: LORDER(:)
      INTEGER, ALLOCATABLE :: MERROR(:,:)
      INTEGER, ALLOCATABLE :: MMSAVE(:,:)
      DOUBLE PRECISION, ALLOCATABLE :: XLTEST(:)
      DOUBLE PRECISION, ALLOCATABLE :: YSS(:)
      DOUBLE PRECISION, ALLOCATABLE :: YSJAVA(:)
      DOUBLE PRECISION, ALLOCATABLE :: ZS(:)
      DOUBLE PRECISION, ALLOCATABLE :: YSSS(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEH(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJCL(:)
      DOUBLE PRECISION, ALLOCATABLE :: XJEL(:)
      ALLOCATE(KPERM(5))
      ALLOCATE(MPERM(5))
      ALLOCATE(KBIGPERM(120,5))
      ALLOCATE(MMJAVA(NDUAL))
      ALLOCATE(LLV(NDUAL))
      ALLOCATE(LLVB(NDUAL))
      ALLOCATE(LLE(NDUAL))
      ALLOCATE(LLEB(NDUAL))
      ALLOCATE(L(NDUAL))
      ALLOCATE(LL(NDUAL))
      ALLOCATE(LJAVA(NDUAL))
      ALLOCATE(LV(NDUAL))
      ALLOCATE(KKA(NDUAL))
      ALLOCATE(KA(NDUAL))
      ALLOCATE(LLSAVE(NDUAL))
      ALLOCATE(LTEST(2*NDUAL))
      ALLOCATE(XLTEST(2*NDUAL))
      ALLOCATE(LORDER(2*NDUAL))
      ALLOCATE(MERROR(NP,NRCALL))
      ALLOCATE(MMSAVE(NP,NDUAL))
      ALLOCATE(YSS(NDUAL))
      ALLOCATE(YSJAVA(NDUAL))
      ALLOCATE(ZS(NDUAL))
      ALLOCATE(YSSS(NDUAL))
      ALLOCATE(XJCH(25))
      ALLOCATE(XJEH(25))
      ALLOCATE(XJCL(25))
      ALLOCATE(XJEL(25))
!
!  100 FORMAT(I6,20I3)
!  101 FORMAT(I4,F10.4,3I4)
!  102 FORMAT(' INITIAL ERROR  ',2I7)
!  103 FORMAT(' BETTER SOLUTION',4I7,I5,10I4)
!  104 FORMAT(I4,2F10.4)
!  105 FORMAT(' SAME SOLUTION  ',4I7)
! 8250 FORMAT(I4,' ROLL CALLS ',I3,2I8,3F7.3,10I4)
!
!  KPERM(.) IS THE VECTOR TO BE PERMUTED
!  MPERM(.) IS A WORK VECTOR.  AT THE FIRST CALL OF KPPERM(N,K,M),
!    MPERM(1)=0.  IT IS THEN USED AS A FLAG TO DETERMINE WHEN
!    THE LAST OF THE N! PERMUTATIONS ARE COMPLETED.  IF SO,
!    THEN MPERM(1)=0 IF THE LAST PERMUTATION IS PASSED BACK
!
      ZPT=ZPT       !hack to get rid of warnings
      IF(IPRINT.EQ.1) IPRINT=1  !hack to get rid of warnings
      NV=NRCALL
      N=NNPERM
      KBEFORE=0
      DO IIJJ=1,NP-N
!
!  INITIALIZE ERROR
!
        KINITIAL=0
        DO J=1,NRCALL
          DO I=1,NP
            KINITIAL=KINITIAL+LERROR(I,J)
            MERROR(I,J)=LERROR(I,J)
          END DO
        END DO
!
!      IF(IPRINT.EQ.1)WRITE(23,102)IIJJ,KINITIAL
        MPERM(1)=0
        DO I=1,N
          KPERM(I)=I
        END DO
!
        KKK=0
 999    CONTINUE
        KKK=KKK+1
        CALL KPPERM(N,KPERM,MPERM)
        DO I=1,N
          KBIGPERM(KKK,I)=KPERM(I)
        END DO
!
!  CHECK CURRENT PERMUTATION OF THE LEGISLATORS
!
        DO I=1,NP
          YSS(I)=XMAT0(I,1)
          YSSS(I)=XMAT0(I,1)
          L(I)=I
          LL(I)=I
        END DO
!
        CALL KPRSORT(YSS,NP,LL)
        CALL KPRSORT(YSSS,NP,L)
!
!  PERMUTE THE ORDERING BY "TRICKING" LL(.) USING KPERM(.)
!
        DO I=1,N
          LLSAVE(I)=LL(KPERM(I)+KBEFORE)
        END DO
        DO I=1,N
          LL(I+KBEFORE)=LLSAVE(I)
        END DO
        DO I=1,NP
!      WRITE(22,101)I,YSS(I),LL(I),L(I)
          MMSAVE(I,KKK)=LL(I)
        END DO
        KT=0
        KTT=0
        JCH=0
        JEH=0
        JCL=0
        JEL=0
        MSUM=0
        NSUM=0
        IVOT=0
!
!
!  ROLL CALL LOOP -- ESTIMATE BEST CUTTING POINT GIVEN FIXED LEGISLATOR
!                    CONFIGURATION
!
        DO IIII=1,NV
          IVOT=IVOT+1
          KSUM=0
          LSUM=0
!
!  RECODE AND COMPUTE YES AND NO MEANS
!
          DO J=1,NP
            LV(J)=LDATA(J,IVOT)
            IF(LV(J).EQ.1.OR.LV(J).EQ.2.OR.LV(J).EQ.3)KK=1
            IF(LV(J).EQ.4.OR.LV(J).EQ.5.OR.LV(J).EQ.6)KK=6
            IF(LV(J).EQ.0.OR.LV(J).EQ.7.OR.LV(J).EQ.8.OR.LV(J).EQ.9)KK=9
            KKA(J)=KK
            IF(KK.EQ.1)KSUM=KSUM+1
            IF(KK.EQ.6)LSUM=LSUM+1
          END DO
          DO J=1,NP
            KA(J)=KKA(LL(J))
          END DO
!
!  CHECK FOR UNANIMOUS VOTES AND DISCARD THEM
!
          IF(KSUM.EQ.0.OR.LSUM.EQ.0)GO TO 600
!
!  CUMULATIVE SUM OF MAJORITY VOTE BY ROLL CALL
!
          IF((KSUM-LSUM).LT.0)GO TO 201
!  202 MSUM=MSUM+KSUM
          MSUM=MSUM+KSUM
          GO TO 203
 201      MSUM=MSUM+LSUM
 203      CONTINUE
!
!  BEGIN JANICE LOOP FOR ROLL CALLS
!
!  GET ONE POINT RESULTS
!
          JCH=0
          JEH=0
          JCL=0
          JEL=0
          KJAVA=0
          DO JAVA=1,NP
            IF(KA(JAVA).NE.9)THEN
              KJAVA=KJAVA+1
              YSJAVA(KJAVA)=YSS(JAVA)
              MMJAVA(KJAVA)=KA(JAVA)
              LJAVA(KJAVA)=LL(JAVA)
            ENDIF
          END DO
          YSJAVA(KJAVA+1)=YSJAVA(KJAVA)+.01
          MMJAVA(KJAVA+1)=9
          LJAVA(KJAVA+1)=NP+1
          NV1=KJAVA+1
          IROTC=0
          CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                      NV1,NV,NP,NRCALL,NS,NDUAL,IVOT,XMAT,YSJAVA,MMJAVA,WS, &
                      LLV,LLVB,LLE,LLEB,LERROR, &
                      ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LJAVA, &
                      XJCH,XJEH,XJCL,XJEL)
          KT=KT+JCH+JCL+JEH+JEL
          KTT=KTT+JEH+JEL
          KTOTC=KT
          KCUTTER(IVOT)=KCUT
          LCUTTER(IVOT)=LCUT
!
!  END OF ROLL CALL LOOP
!
 600      CONTINUE
        END DO
!
!
        XT=FLOAT(KT)
        XTT=FLOAT(KTT)
        AB=1.0-(XTT/XT)
        XSUM=FLOAT(MSUM)
        XSUM=XSUM/XT
        YSUM=AB-XSUM
        PRE1=YSUM/(1.0-XSUM)
!
!  WRITE OUT: ITERATION #; NUMBER OF VOTES;
!             TOTAL CHOICES; TOTAL ERROR CHOICES; PERCENT CORRECT;
!             PERCENT MAJORITY MODEL; PROPORTIONAL REDUCTION IN ERROR
!
!      WRITE(*,8250)KKK,NS,KTT,KT,1.0-AB,AB,PRE1,(KBIGPERM(KKK,J),J=1,N)
        LTEST(KKK)=KTT
        XLTEST(KKK)=FLOAT(KTT)
        LORDER(KKK)=KKK
!
!      WRITE(11,100)KKK,(KBIGPERM(KKK,J),J=1,N)
        IF(MPERM(1).NE.0)GO TO 999
!
!  IF A BETTER SOLUTION IS FOUND RESET THE ORIGINAL ORDERING
!
        CALL KPRSORT(XLTEST,KKK,LORDER)
        IF(XLTEST(1).LT.FLOAT(KINITIAL))THEN
           DO I=1,NP
             YSSS(I)=XMAT0(I,1)
             LL(I)=L(I)
           END DO
           DO I=1,N
             LLSAVE(I)=LL(KBIGPERM(LORDER(1),I)+KBEFORE)
           END DO
           DO I=1,N
             LL(I+KBEFORE)=LLSAVE(I)
           END DO
!         IF(IPRINT.EQ.1)WRITE(11,103)IIJJ,KBEFORE,KINITIAL,LTEST(1), &
!                      LORDER(1),(KBIGPERM(LORDER(1),JJ),JJ=1,N)
           DO I=1,NP
             XMAT0(LL(I),1)=YSS(I)
!         WRITE(44,101)I,YSS(I),LL(I),L(I),MMSAVE(I,LORDER(1))
           END DO
           DO I=1,NP
!         WRITE(44,104)I,XMAT0(I,1),YSSS(I)
!         YSS(I)=XMAT0(I,1)
!         YSSS(I)=XMAT0(I,1)
!         L(I)=I
!         LL(I)=I
           END DO
!
!  RESET LERROR(. , .) AND KINITIAL
!
!         CALL KPRSORT(YSS,NP,LL)
           KT=0
           KTT=0
           JCH=0
           JEH=0
           JCL=0
           JEL=0
           IVOT=0
!
!  ROLL CALL LOOP -- ESTIMATE BEST CUTTING POINT GIVEN FIXED LEGISLATOR
!                    CONFIGURATION
!
           DO IIII=1,NV
             IVOT=IVOT+1
             KSUM=0
             LSUM=0
!
!  RECODE AND COMPUTE YES AND NO MEANS
!
             DO J=1,NP
               LV(J)=LDATA(J,IVOT)
               IF(LV(J).EQ.1.OR.LV(J).EQ.2.OR.LV(J).EQ.3)KK=1
               IF(LV(J).EQ.4.OR.LV(J).EQ.5.OR.LV(J).EQ.6)KK=6
               IF(LV(J).EQ.0.OR.LV(J).EQ.7.OR.LV(J).EQ.8.OR.LV(J).EQ.9)KK=9
               KKA(J)=KK
               IF(KK.EQ.1)KSUM=KSUM+1
               IF(KK.EQ.6)LSUM=LSUM+1
             END DO
             DO J=1,NP
               KA(J)=KKA(LL(J))
             END DO
!
!  CHECK FOR UNANIMOUS VOTES AND DISCARD THEM
!
             IF(KSUM.EQ.0.OR.LSUM.EQ.0)GO TO 601
!
!  BEGIN JANICE LOOP FOR ROLL CALLS
!
!  GET ONE POINT RESULTS
!
             JCH=0
             JEH=0
             JCL=0
             JEL=0
             KJAVA=0
             DO JAVA=1,NP
               IF(KA(JAVA).NE.9)THEN
                 KJAVA=KJAVA+1
                 YSJAVA(KJAVA)=YSS(JAVA)
                 MMJAVA(KJAVA)=KA(JAVA)
                 LJAVA(KJAVA)=LL(JAVA)
               ENDIF
             END DO
             YSJAVA(KJAVA+1)=YSJAVA(KJAVA)+.01
             MMJAVA(KJAVA+1)=9
             LJAVA(KJAVA+1)=NP+1
             NV1=KJAVA+1
             IROTC=0
             CALL JAN1PT(NUMMEMBERS,NUMVOTES,&
                         NV1,NV,NP,NRCALL,NS,NDUAL,IVOT,XMAT,YSJAVA,MMJAVA, &
                      WS,LLV,LLVB,LLE,LLEB,LERROR, &
                      ZS,JCH,JEH,JCL,JEL,IROTC,KCUT,LCUT,LJAVA, &
                      XJCH,XJEH,XJCL,XJEL)
             KT=KT+JCH+JCL+JEH+JEL
             KTT=KTT+JEH+JEL
             KTOTC=KT
             KCUTTER(IVOT)=KCUT
             LCUTTER(IVOT)=LCUT
!
!  END OF ROLL CALL LOOP
!
 601         CONTINUE
           END DO
!
!
           XT=FLOAT(KT)
           XTT=FLOAT(KTT)
           AB=1.0-(XTT/XT)
           XSUM=FLOAT(MSUM)
           XSUM=XSUM/XT
           YSUM=AB-XSUM
           PRE1=YSUM/(1.0-XSUM)
!
!  WRITE OUT: ITERATION #; NUMBER OF VOTES;
!             TOTAL CHOICES; TOTAL ERROR CHOICES; PERCENT CORRECT;
!             PERCENT MAJORITY MODEL; PROPORTIONAL REDUCTION IN ERROR
!
!        IF(IPRINT.EQ.1)WRITE(11,8250)KKK,NS,KTT,KT,1.0-AB,AB,PRE1
           KKKCHK=0
           DO IH=1,NRCALL
             DO IG=1,NP
               KKKCHK=KKKCHK+LERROR(IG,IH)
             END DO
           END DO
!         IF(IPRINT.EQ.1)WRITE(11,8250)KKK,NS,KKKCHK
        ENDIF
!
!  IF A BETTER SOLUTION IS **NOT** FOUND RESET LERROR(. , .)
!
        IF(XLTEST(1).GE.FLOAT(KINITIAL))THEN
           DO J=1,NRCALL
             DO I=1,NP
               LERROR(I,J)=MERROR(I,J)
             END DO
           END DO
!         IF(IPRINT.EQ.1)WRITE(11,105)IIJJ,KBEFORE,KINITIAL
        ENDIF
!
        KBEFORE=KBEFORE+1
      END DO
!
      DEALLOCATE(KPERM)
      DEALLOCATE(MPERM)
      DEALLOCATE(KBIGPERM)
      DEALLOCATE(MMJAVA)
      DEALLOCATE(LLV)
      DEALLOCATE(LLVB)
      DEALLOCATE(LLE)
      DEALLOCATE(LLEB)
      DEALLOCATE(L)
      DEALLOCATE(LL)
      DEALLOCATE(LJAVA)
      DEALLOCATE(LV)
      DEALLOCATE(KKA)
      DEALLOCATE(KA)
      DEALLOCATE(LLSAVE)
      DEALLOCATE(LTEST)
      DEALLOCATE(XLTEST)
      DEALLOCATE(LORDER)
      DEALLOCATE(MERROR)
      DEALLOCATE(MMSAVE)
      DEALLOCATE(YSS)
      DEALLOCATE(YSJAVA)
      DEALLOCATE(ZS)
      DEALLOCATE(YSSS)
      DEALLOCATE(XJCH)
      DEALLOCATE(XJEH)
      DEALLOCATE(XJCL)
      DEALLOCATE(XJEL)
      RETURN
      END