!   E04SAF Example Program Text
!   Mark 29.3 Release. NAG Copyright 2023.

    Program e04safe

!     .. Use Statements ..
      Use iso_c_binding, Only: c_null_ptr, c_ptr
      Use nag_library, Only: e04ptf, e04ptu, e04rcf, e04rzf, e04saf, e04zmf,   &
                             nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nout = 6
      Character (*), Parameter         :: fname = 'e04safe.opt'
!     .. Local Scalars ..
      Type (c_ptr)                     :: cpuser, handle
      Integer                          :: ifail, n, nnzu, nnzuc, x_idx
      Logical                          :: verbose_output
      Character (8)                    :: ftype
!     .. Local Arrays ..
      Real (Kind=nag_wp)               :: rinfo(100), ruser(1), stats(100)
      Real (Kind=nag_wp), Allocatable  :: u(:), uc(:), x(:)
      Integer                          :: iuser(1), pinfo(100)
!     .. Executable Statements ..

      Write (nout,*) 'E04SAF Example Program Results'

!     Read mps file to a handle
      ifail = 0
      ftype = 'mps'
      Call e04saf(handle,fname,ftype,pinfo,ifail)

!     Get problem size from pinfo
      n = pinfo(1)
      nnzu = pinfo(11)
      nnzuc = pinfo(12)

!     Set all variables as continuous
      ifail = 0
      Call e04rcf(handle,'CONT',n,(/(x_idx,x_idx=1,n)/),ifail)

!     Allocate memory
      Allocate (x(n),u(nnzu),uc(nnzuc))

!     Set this to .True. to cause e04ptf to produce intermediate
!     progress output
      verbose_output = .False.

      If (verbose_output) Then
!       Require printing of primal and dual solutions at the end of the solve
        ifail = 0
        Call e04zmf(handle,'Print Solution = YES',ifail)
      Else
!       Turn off printing of intermediate progress output
        ifail = 0
        Call e04zmf(handle,'Print Level = 1',ifail)
      End If

!     Call SOCP interior point solver
      cpuser = c_null_ptr
      ifail = -1
      Call e04ptf(handle,n,x,nnzu,u,nnzuc,uc,rinfo,stats,e04ptu,iuser,ruser,   &
        cpuser,ifail)

!     Print solution if optimal or suboptimal solution found
      If (ifail==0 .Or. ifail==50) Then
        Write (nout,99999) 'Optimal X:'
        Write (nout,99997) 'x_idx', '    Value    '
        Do x_idx = 1, n
          Write (nout,99998) x_idx, x(x_idx)
        End Do
      End If

!     Free the handle memory
      ifail = 0
      Call e04rzf(handle,ifail)

99999 Format (1X,A)
99998 Format (2X,I5,3X,Es12.5e2)
99997 Format (2X,A5,3X,A12)

    End Program e04safe