Program e02bc_a1w_fe
! E02BC_A1W_F Example Program Text
! Mark 29.2 Release. NAG Copyright 2023.
! .. Use Statements ..
Use iso_c_binding, Only: c_ptr
Use nagad_library, Only: e02bc_a1w_f, nagad_a1w_get_derivative, &
nagad_a1w_inc_derivative, &
nagad_a1w_ir_create => x10za_a1w_f, &
nagad_a1w_ir_interpret_adjoint_sparse, &
nagad_a1w_ir_register_variable, &
nagad_a1w_ir_remove, nagad_a1w_w_rtype, &
x10aa_a1w_f, x10ab_a1w_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_a1w_w_rtype) :: x
Integer :: i, ifail, j, l, left, m, ncap, ncap7
! .. Local Arrays ..
Type (nagad_a1w_w_rtype), Allocatable :: c(:), lamda(:)
Type (nagad_a1w_w_rtype) :: s(4)
Real (Kind=nag_wp), Allocatable :: dsdc(:,:,:), dsdl(:,:,:)
! .. Executable Statements ..
Write (nout,*) 'E02BC_A1W_F Example Program Results'
! Create AD configuration data object
ifail = 0
Call x10aa_a1w_f(ad_handle,ifail)
! 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
Do i = 1, m
x = 0.0_nag_wp
Read (nin,*) x%value
Do left = 1, 2
! A1W computation
Call nagad_a1w_ir_create
Call nagad_a1w_ir_register_variable(lamda)
Call nagad_a1w_ir_register_variable(c)
ifail = 0
Call e02bc_a1w_f(ad_handle,ncap7,lamda,c,x,left,s,ifail)
Call nagad_a1w_inc_derivative(s(1),1.0_nag_wp)
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,5X,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
Call nagad_a1w_ir_interpret_adjoint_sparse(ifail)
Do j = 1, ncap7
dsdl(j,i,left) = nagad_a1w_get_derivative(lamda(j))
dsdc(j,i,left) = nagad_a1w_get_derivative(c(j))
End Do
Call nagad_a1w_ir_remove
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_a1w_f(ad_handle,ifail)
99998 Format (1X,E10.2,A,4E12.4)
End Program e02bc_a1w_fe