!   D01ASF Example Program Text
!   Mark 29.3 Release. NAG Copyright 2023.

    Module d01asfe_mod

!     D01ASF 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                           :: g
!     .. Parameters ..
      Integer, Parameter, Public       :: limlst = 50, lw = 800, nout = 6
      Integer, Parameter, Public       :: liw = lw/2
    Contains
      Function g(x)

!       .. Function Return Value ..
        Real (Kind=nag_wp)             :: g
!       .. Scalar Arguments ..
        Real (Kind=nag_wp), Intent (In) :: x
!       .. Intrinsic Procedures ..
        Intrinsic                      :: sqrt
!       .. Executable Statements ..
        If (x>0.0E0_nag_wp) Then
          g = 1.0E0_nag_wp/sqrt(x)
        Else
          g = 0.0E0_nag_wp
        End If

        Return

      End Function g
    End Module d01asfe_mod
    Program d01asfe

!     D01ASF Example Main Program

!     .. Use Statements ..
      Use d01asfe_mod, Only: g, limlst, liw, lw, nout
      Use nag_library, Only: d01asf, nag_wp, x01aaf
!     .. Implicit None Statement ..
      Implicit None
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: a, abserr, epsabs, omega, result
      Integer                          :: ifail, key, lst
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: erlst(:), rslst(:), w(:)
      Integer, Allocatable             :: ierlst(:), iw(:)
!     .. Executable Statements ..
      Write (nout,*) 'D01ASF Example Program Results'

      Allocate (erlst(limlst),rslst(limlst),w(lw),ierlst(limlst),iw(liw))

      epsabs = 1.0E-03_nag_wp
      a = 0.0E0_nag_wp
      omega = 0.5E0_nag_wp*x01aaf(omega)
      key = 1

      ifail = -1
      Call d01asf(g,a,omega,key,epsabs,result,abserr,limlst,lst,erlst,rslst,   &
        ierlst,w,lw,iw,liw,ifail)

      If (ifail>=0) Then
        Write (nout,*)
        Write (nout,99999) 'A      - lower limit of integration = ', a
        Write (nout,*) 'B      - upper limit of integration =  infinity'
        Write (nout,99998) 'EPSABS - absolute accuracy requested = ', epsabs

        If (ifail/=6 .And. ifail/=10) Then
          Write (nout,*)
          Write (nout,99997) 'RESULT - approximation to the integral = ',      &
            result
          Write (nout,99998) 'ABSERR - estimate of the absolute error = ',     &
            abserr
          Write (nout,99996) 'LST    - number of intervals used = ', lst
          Write (nout,99996)                                                   &
            'IW(1)  - max. no. of subintervals used in any one interval = ',   &
            iw(1)
        End If

      End If

99999 Format (1X,A,F10.4)
99998 Format (1X,A,E9.2)
99997 Format (1X,A,F9.5)
99996 Format (1X,A,I4)
    End Program d01asfe