!   D01AJF Example Program Text
!   Mark 30.3 Release. nAG Copyright 2024.

    Module d01ajfe_mod

!     D01AJF 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                           :: f
!     .. Parameters ..
      Integer, Parameter, Public       :: lw = 800, nout = 6
      Integer, Parameter, Public       :: liw = lw/4
!     .. Local Scalars ..
      Real (Kind=nag_wp), Public, Save :: pi
    Contains
      Function f(x)

!       .. Function Return Value ..
        Real (Kind=nag_wp)             :: f
!       .. Scalar Arguments ..
        Real (Kind=nag_wp), Intent (In) :: x
!       .. Intrinsic Procedures ..
        Intrinsic                      :: sin, sqrt
!       .. Executable Statements ..
        f = x*sin(30.0E0_nag_wp*x)/sqrt(1.0E0_nag_wp-x**2/(4.0E0_nag_wp*pi**2) &
          )

        Return

      End Function f
    End Module d01ajfe_mod
    Program d01ajfe

!     D01AJF Example Main Program

!     .. Use Statements ..
      Use d01ajfe_mod, Only: f, liw, lw, nout, pi
      Use nag_library, Only: d01ajf, nag_wp, x01aaf
!     .. Implicit None Statement ..
      Implicit None
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: a, abserr, b, epsabs, epsrel, result
      Integer                          :: ifail
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: w(:)
      Integer, Allocatable             :: iw(:)
!     .. Executable Statements ..
      Write (nout,*) 'D01AJF Example Program Results'

      Allocate (w(lw),iw(liw))

      pi = x01aaf(pi)
      epsabs = 0.0E0_nag_wp
      epsrel = 1.0E-04_nag_wp
      a = 0.0E0_nag_wp
      b = 2.0E0_nag_wp*pi

      ifail = -1
      Call d01ajf(f,a,b,epsabs,epsrel,result,abserr,w,lw,iw,liw,ifail)

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

      If (ifail>=0 .And. ifail<=5) 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) 'IW(1) ', 'number of subintervals used', iw(1)
      End If

99999 Format (1X,A6,' - ',A32,' = ',F10.4)
99998 Format (1X,A6,' - ',A32,' = ',E9.2)
99997 Format (1X,A6,' - ',A32,' = ',F9.5)
99996 Format (1X,A6,' - ',A32,' = ',I4)
    End Program d01ajfe