Program f11mgfe

!     F11MGF Example Program Text

!     Mark 29.3 Release. NAG Copyright 2023.

!     .. Use Statements ..
      Use nag_library, Only: f11mdf, f11mef, f11mgf, f11mlf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Real (Kind=nag_wp), Parameter    :: one = 1.E0_nag_wp
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: anorm, flop, rcond, thresh
      Integer                          :: i, ifail, n, nnz, nnzl, nnzu, nzlmx, &
                                          nzlumx, nzumx
      Character (1)                    :: norm, spec
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: a(:), lval(:), uval(:)
      Integer, Allocatable             :: icolzp(:), il(:), iprm(:),           &
                                          irowix(:), iu(:)
!     .. Executable Statements ..
      Write (nout,*) 'F11MGF Example Program Results'
!     Skip heading in data file
      Read (nin,*)

!     Read order of matrix

      Read (nin,*) n

      Allocate (icolzp(n+1),iprm(7*n))

!     Read the matrix A

      Read (nin,*) icolzp(1:n+1)
      nnz = icolzp(n+1) - 1

      Allocate (a(nnz),lval(8*nnz),uval(8*nnz),il(7*n+8*nnz+4),irowix(nnz),    &
        iu(2*n+8*nnz+1))

      Do i = 1, nnz
        Read (nin,*) a(i), irowix(i)
      End Do

!     Calculate COLAMD permutation

      spec = 'M'

!     ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
      ifail = 0
      Call f11mdf(spec,n,icolzp,irowix,iprm,ifail)

!     Factorise

      thresh = one
      ifail = 0
      nzlmx = 8*nnz
      nzlumx = 8*nnz
      nzumx = 8*nnz

      Call f11mef(n,irowix,a,iprm,thresh,nzlmx,nzlumx,nzumx,il,lval,iu,uval,   &
        nnzl,nnzu,flop,ifail)

!     Calculate norm

      norm = '1'

      ifail = 0
      Call f11mlf(norm,anorm,n,icolzp,irowix,a,ifail)

!     Calculate condition number

      ifail = 0
      Call f11mgf(norm,n,il,lval,iu,uval,anorm,rcond,ifail)

!     Output result

      Write (nout,*)
      Write (nout,*) 'Norm  ,Condition number'
      Write (nout,'(F7.3,A1,F7.3)') anorm, ',', 1.0E0_nag_wp/rcond

    End Program f11mgfe