NAG Library Manual, Mark 29.2
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description
!   C05AY_T2W_F Example Program Text
!   Mark 29.2 Release. NAG Copyright 2023.
    Module c05ay_t2w_fe_mod

!     C05AY_T2W_F Example Program Module:
!            Parameters and User-defined Routines

!     .. Use Statements ..
      Use iso_c_binding, Only: c_ptr
      Use nagad_library, Only: exp, nagad_t2w_w_rtype, Operator (-),           &
                               Operator (*)
!     .. Implicit None Statement ..
      Implicit None
!     .. Accessibility Statements ..
      Private
      Public                           :: f
!     .. Parameters ..
      Integer, Parameter, Public       :: nin = 5, nout = 6
    Contains
      Subroutine f(ad_handle,x,z,iuser,ruser)

!       .. Scalar Arguments ..
        Type (c_ptr), Intent (Inout)   :: ad_handle
        Type (nagad_t2w_w_rtype), Intent (In) :: x
        Type (nagad_t2w_w_rtype), Intent (Out) :: z
!       .. Array Arguments ..
        Type (nagad_t2w_w_rtype), Intent (Inout) :: ruser(*)
        Integer, Intent (Inout)        :: iuser(*)
!       .. Executable Statements ..
        z = exp(-x) - x*ruser(1)
        Return

      End Subroutine f
    End Module c05ay_t2w_fe_mod

    Program c05ay_t2w_fe
!     C05AY_T2W_F Example Main Program

!     .. Use Statements ..
      Use c05ay_t2w_fe_mod, Only: f, nin, nout
      Use iso_c_binding, Only: c_ptr
      Use nagad_library, Only: c05ay_t2w_f, nagad_t2w_w_rtype, x10aa_t2w_f,    &
                               x10ab_t2w_f, Assignment (=)
      Use nag_library, Only: nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Local Scalars ..
      Type (nagad_t2w_w_rtype)         :: a, b, eps, eta, x
      Type (c_ptr)                     :: ad_handle
      Real (Kind=nag_wp)               :: ar, br, epsr, etar, rr
      Integer                          :: ifail
!     .. Local Arrays ..
      Type (nagad_t2w_w_rtype)         :: ruser(1)
      Integer                          :: iuser(1)
!     .. Executable Statements ..

      Write (nout,*) 'C05AY_T2W_F Example Program Results'

!     Skip first line of data file
      Read (nin,*)
!     Read problem parameters
      Read (nin,*) ar
      Read (nin,*) br
      Read (nin,*) epsr
      Read (nin,*) etar
      Read (nin,*) rr

      a = ar
      b = br
      eps = epsr
      eta = etar
      ruser(1) = rr

!     Create AD configuration data object
      ifail = 0
      Call x10aa_t2w_f(ad_handle,ifail)

!     Call AD routine
      ruser(1)%value%tangent = 1.0_nag_wp
      ruser(1)%tangent%value = 1.0_nag_wp
      ifail = 0
      Call c05ay_t2w_f(ad_handle,a,b,eps,eta,f,x,iuser,ruser,ifail)

      Write (nout,*)
      Write (nout,99999) ' Solution, x  =', x%value%value
      Write (nout,99999) ' dx^2/druser(1)^2 =', x%tangent%tangent
99999 Format (1X,A,1X,E12.5)

!     Remove computational data object
      Call x10ab_t2w_f(ad_handle,ifail)

    End Program c05ay_t2w_fe