!   H02CEF Example Program Text
!   Mark 23 Release. NAG Copyright 2011.

    MODULE h02cefe_mod

!      H02CEF Example Program Module:
!             Parameters and User-defined Routines

!      .. Use Statements ..
       USE nag_library, ONLY : nag_wp
!      .. Implicit None Statement ..
       IMPLICIT NONE
!      .. Parameters ..
       REAL (KIND=nag_wp), PARAMETER       :: cutoff = -1847510.0_nag_wp
       INTEGER, PARAMETER                  :: lintvr = 10, mdepth = 2000,      &
                                              nin = 5, nout = 6
    CONTAINS
       SUBROUTINE qphx(nstate,ncolh,x,hx)

!         Routine to compute H*x. (In this version of QPHX, the Hessian
!         matrix H is not referenced explicitly.)

!         .. Implicit None Statement ..
          IMPLICIT NONE
!         .. Scalar Arguments ..
          INTEGER, INTENT (IN)                :: ncolh, nstate
!         .. Array Arguments ..
          REAL (KIND=nag_wp), INTENT (OUT)    :: hx(ncolh)
          REAL (KIND=nag_wp), INTENT (IN)     :: x(ncolh)
!         .. Executable Statements ..
          hx(1) = 2.0_nag_wp*x(1)
          hx(2) = 2.0_nag_wp*x(2)
          hx(3) = 2.0_nag_wp*(x(3)+x(4))
          hx(4) = hx(3)
          hx(5) = 2.0_nag_wp*x(5)
          hx(6) = 2.0_nag_wp*(x(6)+x(7))
          hx(7) = hx(6)

          RETURN

       END SUBROUTINE qphx
       SUBROUTINE monit(intfnd,nodes,depth,obj,x,bstval,bstsol,bl,bu,n,halt, &
             count)

!         .. Implicit None Statement ..
          IMPLICIT NONE
!         .. Scalar Arguments ..
          REAL (KIND=nag_wp), INTENT (INOUT)  :: bstval
          REAL (KIND=nag_wp), INTENT (IN)     :: obj
          INTEGER, INTENT (INOUT)             :: count
          INTEGER, INTENT (IN)                :: depth, intfnd, n, nodes
          LOGICAL, INTENT (INOUT)             :: halt
!         .. Array Arguments ..
          REAL (KIND=nag_wp), INTENT (IN)     :: bl(n), bstsol(n), bu(n), x(n)
!         .. Executable Statements ..
          IF (intfnd==0) THEN
             bstval = cutoff
          END IF

          RETURN

       END SUBROUTINE monit
    END MODULE h02cefe_mod
    PROGRAM h02cefe

!      H02CEF Example Main Program

!      .. Use Statements ..
       USE nag_library, ONLY : h02cef, h02cgf, nag_wp
       USE h02cefe_mod, ONLY : lintvr, mdepth, monit, nin, nout, qphx
!      .. Implicit None Statement ..
       IMPLICIT NONE
!      .. Local Scalars ..
       REAL (KIND=nag_wp)                  :: obj
       INTEGER                             :: i, icol, ifail, iobj, jcol,      &
                                              leniz, lenz, m, miniz, minz, n,  &
                                              ncolh, nname, nnz, ns, strtgy
       CHARACTER (1)                       :: start
!      .. Local Arrays ..
       REAL (KIND=nag_wp), ALLOCATABLE     :: a(:), bl(:), bu(:), clamda(:),   &
                                              xs(:), z(:)
       INTEGER, ALLOCATABLE                :: ha(:), intvar(:), istate(:),     &
                                              iz(:), ka(:)
       CHARACTER (8), ALLOCATABLE          :: crname(:)
       CHARACTER (8)                       :: names(5)
!      .. Executable Statements ..
       WRITE (nout,*) 'H02CEF Example Program Results'

!      Skip heading in data file.
       READ (nin,*)

       READ (nin,*) n, m
       READ (nin,*) nnz, iobj, ncolh, start, nname
       ALLOCATE (a(nnz),bl(n+m),bu(n+m),clamda(n+m),xs(n+m),ha(nnz), &
          intvar(lintvr),istate(n+m),ka(n+1),crname(nname))

       READ (nin,*) names(1:5)
       READ (nin,*) crname(1:nname)

!      Read the matrix A from data file. Set up KA.

       jcol = 1
       ka(jcol) = 1

       DO i = 1, nnz

!         Element ( HA( I ), ICOL ) is stored in A( I ).

          READ (nin,*) a(i), ha(i), icol

          IF (icol==jcol+1) THEN

!            Index in A of the start of the ICOL-th column equals I.

             ka(icol) = i
             jcol = icol
          ELSE IF (icol>jcol+1) THEN

!            Index in A of the start of the ICOL-th column equals I,
!            but columns JCOL+1,JCOL+2,...,ICOL-1 are empty. Set the
!            corresponding elements of KA to I.

             ka((jcol+1):(icol-1)) = i
             ka(icol) = i
             jcol = icol
          END IF

       END DO

       ka(n+1) = nnz + 1

       READ (nin,*) bl(1:n+m)
       READ (nin,*) bu(1:n+m)
       READ (nin,*) istate(1:n)
       READ (nin,*) xs(1:n)

       strtgy = 3
       intvar(1:7) = (/ 2, 3, 4, 5, 6, 7, -1/)

       CALL h02cgf('NoList')

       CALL h02cgf('Print Level = 0')

!      Solve the QP problem.
!      First call is a workspace query

       leniz = 1
       lenz = 1
       ALLOCATE (iz(leniz),z(lenz))

       ifail = 1
       CALL h02cef(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, &
          crname,ns,xs,intvar,lintvr,mdepth,istate,miniz,minz,obj,clamda, &
          strtgy,iz,leniz,z,lenz,monit,ifail)

       IF (ifail/=14) THEN
          WRITE (nout,99998) ifail
       ELSE
          DEALLOCATE (iz,z)

          leniz = miniz
          lenz = minz
          ALLOCATE (iz(leniz),z(lenz))

          ifail = 0
          CALL h02cef(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, &
             crname,ns,xs,intvar,lintvr,mdepth,istate,miniz,minz,obj,clamda, &
             strtgy,iz,leniz,z,lenz,monit,ifail)

!         Print out the best integer solution found

          WRITE (nout,99999) obj, (i,xs(i),i=1,n)
       END IF

99999  FORMAT (' Optimal Integer Value is = ',E20.8/' Components are '/(' X(', &
          I3,') = ',F10.2))
99998  FORMAT (1X,'** Workspace query in H02CEF exited with IFAIL = ',I0)
    END PROGRAM h02cefe