!   E04UCF Example Program Text
!   Mark 27.3 Release. NAG Copyright 2021.

    Module e04ucfe_mod

!     E04UCF Example Program Module:
!            Parameters and User-defined Routines

!     .. Use Statements ..
      Use nag_library, Only: nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Accessibility Statements ..
      Private
      Public                           :: confun, objfun
!     .. Parameters ..
      Integer, Parameter, Public       :: nin = 5, nout = 6
    Contains
      Subroutine objfun(mode,n,x,objf,objgrd,nstate,iuser,ruser)
!       Routine to evaluate objective function and its 1st derivatives.

!       .. Scalar Arguments ..
        Real (Kind=nag_wp), Intent (Out) :: objf
        Integer, Intent (Inout)        :: mode
        Integer, Intent (In)           :: n, nstate
!       .. Array Arguments ..
        Real (Kind=nag_wp), Intent (Inout) :: objgrd(n), ruser(*)
        Real (Kind=nag_wp), Intent (In) :: x(n)
        Integer, Intent (Inout)        :: iuser(*)
!       .. Executable Statements ..
        If (mode==0 .Or. mode==2) Then
          objf = x(1)*x(4)*(x(1)+x(2)+x(3)) + x(3)
        End If

        If (mode==1 .Or. mode==2) Then
          objgrd(1) = x(4)*(2.0E0_nag_wp*x(1)+x(2)+x(3))
          objgrd(2) = x(1)*x(4)
          objgrd(3) = x(1)*x(4) + 1.0E0_nag_wp
          objgrd(4) = x(1)*(x(1)+x(2)+x(3))
        End If

        Return

      End Subroutine objfun
      Subroutine confun(mode,ncnln,n,ldcj,needc,x,c,cjac,nstate,iuser,ruser)
!       Routine to evaluate the nonlinear constraints and their 1st
!       derivatives.

!       .. Scalar Arguments ..
        Integer, Intent (In)           :: ldcj, n, ncnln, nstate
        Integer, Intent (Inout)        :: mode
!       .. Array Arguments ..
        Real (Kind=nag_wp), Intent (Out) :: c(ncnln)
        Real (Kind=nag_wp), Intent (Inout) :: cjac(ldcj,n), ruser(*)
        Real (Kind=nag_wp), Intent (In) :: x(n)
        Integer, Intent (Inout)        :: iuser(*)
        Integer, Intent (In)           :: needc(ncnln)
!       .. Executable Statements ..
        If (nstate==1) Then

!         First call to CONFUN.  Set all Jacobian elements to zero.
!         Note that this will only work when 'Derivative Level = 3'
!         (the default; see Section 11.2).

          cjac(1:ncnln,1:n) = 0.0E0_nag_wp
        End If

        If (needc(1)>0) Then

          If (mode==0 .Or. mode==2) Then
            c(1) = x(1)**2 + x(2)**2 + x(3)**2 + x(4)**2
          End If

          If (mode==1 .Or. mode==2) Then
            cjac(1,1) = 2.0E0_nag_wp*x(1)
            cjac(1,2) = 2.0E0_nag_wp*x(2)
            cjac(1,3) = 2.0E0_nag_wp*x(3)
            cjac(1,4) = 2.0E0_nag_wp*x(4)
          End If

        End If

        If (needc(2)>0) Then

          If (mode==0 .Or. mode==2) Then
            c(2) = x(1)*x(2)*x(3)*x(4)
          End If

          If (mode==1 .Or. mode==2) Then
            cjac(2,1) = x(2)*x(3)*x(4)
            cjac(2,2) = x(1)*x(3)*x(4)
            cjac(2,3) = x(1)*x(2)*x(4)
            cjac(2,4) = x(1)*x(2)*x(3)
          End If

        End If

        Return

      End Subroutine confun
    End Module e04ucfe_mod
    Program e04ucfe

!     E04UCF Example Main Program

!     .. Use Statements ..
      Use e04ucfe_mod, Only: confun, nin, nout, objfun
      Use nag_library, Only: e04ucf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: objf
      Integer                          :: i, ifail, iter, lda, ldcj, ldr,      &
                                          liwork, lwork, n, nclin, ncnln, sda, &
                                          sdcjac
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: a(:,:), bl(:), bu(:), c(:),          &
                                          cjac(:,:), clamda(:), objgrd(:),     &
                                          r(:,:), work(:), x(:)
      Real (Kind=nag_wp)               :: ruser(1)
      Integer, Allocatable             :: istate(:), iwork(:)
      Integer                          :: iuser(1)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: max
!     .. Executable Statements ..
      Write (nout,*) 'E04UCF Example Program Results'
      Flush (nout)

!     Skip heading in data file
      Read (nin,*)

      Read (nin,*) n, nclin, ncnln
      liwork = 3*n + nclin + 2*ncnln
      lda = max(1,nclin)

      If (nclin>0) Then
        sda = n
      Else
        sda = 1
      End If

      ldcj = max(1,ncnln)

      If (ncnln>0) Then
        sdcjac = n
      Else
        sdcjac = 1
      End If

      ldr = n

      If (ncnln==0 .And. nclin>0) Then
        lwork = 2*n**2 + 20*n + 11*nclin
      Else If (ncnln>0 .And. nclin>=0) Then
        lwork = 2*n**2 + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln
      Else
        lwork = 20*n
      End If

      Allocate (istate(n+nclin+ncnln),iwork(liwork),a(lda,sda),                &
        bl(n+nclin+ncnln),bu(n+nclin+ncnln),c(max(1,                           &
        ncnln)),cjac(ldcj,sdcjac),clamda(n+nclin+ncnln),objgrd(n),r(ldr,n),    &
        x(n),work(lwork))

      If (nclin>0) Then
        Read (nin,*)(a(i,1:sda),i=1,nclin)
      End If

      Read (nin,*) bl(1:(n+nclin+ncnln))
      Read (nin,*) bu(1:(n+nclin+ncnln))
      Read (nin,*) x(1:n)

      ifail = 0
      Call e04ucf(n,nclin,ncnln,lda,ldcj,ldr,a,bl,bu,confun,objfun,iter,       &
        istate,c,cjac,clamda,objf,objgrd,r,x,iwork,liwork,work,lwork,iuser,    &
        ruser,ifail)

    End Program e04ucfe