PROGRAM f07hffe

!      F07HFF Example Program Text

!      Mark 23 Release. NAG Copyright 2011.

!      .. Use Statements ..
       USE nag_library, ONLY : dpbequ, dscal, f06fcf, nag_wp, x02ajf, x02amf,  &
                               x02bhf, x04cef
!      .. Implicit None Statement ..
       IMPLICIT NONE
!      .. Parameters ..
       REAL (KIND=nag_wp), PARAMETER   :: one = 1.0_nag_wp
       REAL (KIND=nag_wp), PARAMETER   :: thresh = 0.1_nag_wp
       INTEGER, PARAMETER              :: nin = 5, nout = 6
       CHARACTER (1), PARAMETER        :: uplo = 'U'
!      .. Local Scalars ..
       REAL (KIND=nag_wp)              :: amax, big, scond, small
       INTEGER                         :: i, i0, i1, ifail, ilen, info, j, kd, &
                                          ldab, n
!      .. Local Arrays ..
       REAL (KIND=nag_wp), ALLOCATABLE :: ab(:,:), s(:)
!      .. Intrinsic Functions ..
       INTRINSIC                          max, min, real
!      .. Executable Statements ..
       WRITE (nout,*) 'F07HFF Example Program Results'
       WRITE (nout,*)
       FLUSH (nout)
!      Skip heading in data file
       READ (nin,*)
       READ (nin,*) n, kd
       ldab = kd + 1
       ALLOCATE (ab(ldab,n),s(n))

!      Read the upper or lower triangular part of the band matrix A
!      from data file

       IF (uplo=='U') THEN
          DO i = 1, n
             READ (nin,*) (ab(kd+1+i-j,j),j=i,min(n,i+kd))
          END DO
       ELSE IF (uplo=='L') THEN
          DO i = 1, n
             READ (nin,*) (ab(1+i-j,j),j=max(1,i-kd),i)
          END DO
       END IF

!      Print the matrix A

!      ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
       ifail = 0
       IF (uplo=='U') THEN
          CALL x04cef(n,n,0,kd,ab,ldab,'Matrix A',ifail)
       ELSE IF (uplo=='L') THEN
          CALL x04cef(n,n,kd,0,ab,ldab,'Matrix A',ifail)
       END IF

       WRITE (nout,*)

!      Compute diagonal scaling factors
!      The NAG name equivalent of dpbequ is f07hff
       CALL dpbequ(uplo,n,kd,ab,ldab,s,scond,amax,info)

       IF (info>0) THEN
          WRITE (nout,99999) 'Diagonal element', info, ' of A is non positive'
       ELSE

!         Print SCOND, AMAX and the scale factors

          WRITE (nout,99998) 'SCOND =', scond, ', AMAX =', amax
          WRITE (nout,*)
          WRITE (nout,*) 'Diagonal scaling factors'
          WRITE (nout,99997) s(1:n)
          WRITE (nout,*)
          FLUSH (nout)

!         Compute values close to underflow and overflow

          small = x02amf()/(x02ajf()*real(x02bhf(),kind=nag_wp))
          big = one/small
          IF ((scond<thresh) .OR. (amax<small) .OR. (amax>big)) THEN

!            Scale A
             IF (uplo=='U') THEN

!               The NAG name equivalent of dscal is f06edf
                DO j = 1, n
                   i0 = max(1,j-kd)
                   i1 = 1 + i0 - (j-kd)
                   ilen = j - i0 + 1
                   CALL dscal(ilen,s(j),ab(i1,j),1)
                   CALL f06fcf(ilen,s(i0),1,ab(i1,j),1)
                END DO

             ELSE IF (uplo=='L') THEN
                DO j = 1, n
                   i1 = 1
                   ilen = min(n,j+kd) - j + 1
                   CALL dscal(ilen,s(j),ab(i1,j),1)
                   CALL f06fcf(ilen,s(j),1,ab(i1,j),1)
                END DO
             END IF

!            Print the scaled matrix

             ifail = 0
             IF (uplo=='U') THEN
                CALL x04cef(n,n,0,kd,ab,ldab,'Scaled matrix',ifail)
             ELSE IF (uplo=='L') THEN
                CALL x04cef(n,n,kd,0,ab,ldab,'Scaled matrix',ifail)
             END IF
          END IF
       END IF

99999  FORMAT (1X,A,I4,A)
99998  FORMAT (1X,2(A,1P,E8.1))
99997  FORMAT ((1X,1P,7E11.1))
    END PROGRAM f07hffe