```    Program f07phfe

!     F07PHF Example Program Text

!     Mark 26.1 Release. NAG Copyright 2016.

!     .. Use Statements ..
Use nag_library, Only: dsprfs, dsptrf, dsptrs, nag_wp, x04caf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Integer                          :: i, ifail, info, j, ldb, ldx, len, n, &
nrhs
Character (1)                    :: uplo
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: afp(:), ap(:), b(:,:), berr(:),      &
ferr(:), work(:), x(:,:)
Integer, Allocatable             :: ipiv(:), iwork(:)
!     .. Executable Statements ..
Write (nout,*) 'F07PHF Example Program Results'
!     Skip heading in data file
ldb = n
ldx = n
len = n*(n+1)/2
Allocate (afp(len),ap(len),b(ldb,nrhs),berr(nrhs),ferr(nrhs),work(3*n),  &
x(ldx,n),ipiv(n),iwork(n))

!     Read A and B from data file, and copy A to AFP and B to X

If (uplo=='U') Then
Else If (uplo=='L') Then
End If

afp(1:len) = ap(1:len)
x(1:n,1:nrhs) = b(1:n,1:nrhs)

!     Factorize A in the array AFP
!     The NAG name equivalent of dsptrf is f07pdf
Call dsptrf(uplo,n,afp,ipiv,info)

Write (nout,*)
Flush (nout)
If (info==0) Then

!       Compute solution in the array X
!       The NAG name equivalent of dsptrs is f07pef
Call dsptrs(uplo,n,nrhs,afp,ipiv,x,ldx,info)

!       Improve solution, and compute backward errors and
!       estimated bounds on the forward errors

!       The NAG name equivalent of dsprfs is f07phf
Call dsprfs(uplo,n,nrhs,ap,afp,ipiv,b,ldb,x,ldx,ferr,berr,work,iwork,  &
info)

!       Print solution

!       ifail: behaviour on error exit
!              =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call x04caf('General',' ',n,nrhs,x,ldx,'Solution(s)',ifail)

Write (nout,*)
Write (nout,*) 'Backward errors (machine-dependent)'
Write (nout,99999) berr(1:nrhs)
Write (nout,*) 'Estimated forward error bounds (machine-dependent)'
Write (nout,99999) ferr(1:nrhs)
Else
Write (nout,*) 'The factor D is singular'
End If

99999 Format ((3X,1P,7E11.1))
End Program f07phfe
```