NAG Library Manual, Mark 28.4
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description
    Program e02bc_t1w_fe
!     E02BC_T1W_F Example Program Text
!     Mark 28.4 Release. NAG Copyright 2022.

!     .. Use Statements ..
      Use iso_c_binding, Only: c_ptr
      Use nagad_library, Only: e02bc_t1w_f, nagad_t1w_get, nagad_t1w_set,      &
                               nagad_t1w_w_rtype, x10aa_t1w_f, x10ab_t1w_f,    &
                               Assignment (=)
      Use nag_library, Only: nag_wp, x04caf
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Type (c_ptr)                     :: ad_handle
      Type (nagad_t1w_w_rtype)         :: x
      Integer                          :: i, ifail, j, l, left, m, ncap, ncap7
!     .. Local Arrays ..
      Type (nagad_t1w_w_rtype), Allocatable :: c(:), lamda(:)
      Type (nagad_t1w_w_rtype)         :: s(4)
      Real (Kind=nag_wp), Allocatable  :: dsdc(:,:,:), dsdl(:,:,:)
!     .. Executable Statements ..
      Write (nout,*) 'E02BC_T1W_F Example Program Results'

!     Skip heading in data file
      Read (nin,*)

      Read (nin,*) ncap, m
      ncap7 = ncap + 7
      Allocate (lamda(ncap7),c(ncap7),dsdl(ncap7,m,2),dsdc(ncap7,m,2))

      lamda = 0.0_nag_wp
      c = 0.0_nag_wp
      Read (nin,*) lamda(1:ncap7)%value
      Read (nin,*) c(1:(ncap+3))%value

!     Create AD configuration data object
      ifail = 0
      Call x10aa_t1w_f(ad_handle,ifail)

      Do i = 1, m
        x = 0.0_nag_wp
        Read (nin,*) x%value

        Do left = 1, 2

          ifail = 0
          Call e02bc_t1w_f(ad_handle,ncap7,lamda,c,x,left,s,ifail)

          If (left==1) Then

            If (i==1) Then
              Write (nout,*)
              Write (nout,99999) 'x', 'Spline', '1st deriv', '2nd deriv',      &
                '3rd deriv'
            End If
99999       Format (6X,A,13X,A,4X,A,3X,A,3X,A)

            Write (nout,*)
            Write (nout,99998) x%value, '  Left', (s(l)%value,l=1,4)
          Else
            Write (nout,99998) x%value, ' Right', (s(l)%value,l=1,4)
          End If

          Do j = 1, ncap7
            Call nagad_t1w_set(lamda(j),1.0_nag_wp,1)
            Call e02bc_t1w_f(ad_handle,ncap7,lamda,c,x,left,s,ifail)
            Call nagad_t1w_set(lamda(j),0.0_nag_wp,1)
            Call nagad_t1w_get(s(1),dsdl(j,i,left),1)
          End Do

          Do j = 1, ncap7
            Call nagad_t1w_set(c(j),1.0_nag_wp,1)
            Call e02bc_t1w_f(ad_handle,ncap7,lamda,c,x,left,s,ifail)
            Call nagad_t1w_set(c(j),0.0_nag_wp,1)
            Call nagad_t1w_get(s(1),dsdc(j,i,left),1)
          End Do

        End Do

      End Do

      Write (nout,*)
      Write (nout,*) ' Derivatives of spline values with respect to knots'
      Call x04caf('General',' ',ncap7,m,dsdl,ncap7,'Left:  ds/dlamda',ifail)
      Write (nout,*)
      Call x04caf('General',' ',ncap7,m,dsdl(1,1,2),ncap7,'Right: ds/dlamda',  &
        ifail)
      Write (nout,*)
      Write (nout,*) ' Derivatives with respect to spline coefficients'
      Call x04caf('General',' ',ncap7,m,dsdc,ncap7,'Left:  ds/dc',ifail)
      Write (nout,*)
      Call x04caf('General',' ',ncap7,m,dsdc(1,1,2),ncap7,'Right: ds/dc',      &
        ifail)

      Call x10ab_t1w_f(ad_handle,ifail)

99998 Format (1X,E10.2,A,4E12.4)
    End Program e02bc_t1w_fe