! D01PA_T1W_F Example Program Text
! Mark 30.1 Release. NAG Copyright 2024.
Module d01pa_t1w_fe_mod
! .. Use Statements ..
Use iso_c_binding, Only: c_ptr
Use nagad_library, Only: cos, exp, nagad_t1w_w_rtype, Operator (*), &
Operator (+)
! .. Implicit None Statement ..
Implicit None
! .. Accessibility Statements ..
Private
Public :: fun
! .. Parameters ..
Integer, Parameter, Public :: mxord = 5, ndim = 3, nout = 6
Integer, Parameter, Public :: sdvert = 2*(ndim+1)
Integer, Parameter, Public :: ldvert = ndim + 1
Contains
Subroutine fun(ad_handle,ndim,x,ret,iuser,ruser)
! .. Scalar Arguments ..
Type (c_ptr), Intent (Inout) :: ad_handle
Type (nagad_t1w_w_rtype), Intent (Out) :: ret
Integer, Intent (In) :: ndim
! .. Array Arguments ..
Type (nagad_t1w_w_rtype), Intent (Inout) :: ruser(*)
Type (nagad_t1w_w_rtype), Intent (In) :: x(ndim)
Integer, Intent (Inout) :: iuser(*)
! .. Executable Statements ..
ret = exp(x(1)+x(2)+x(3))*cos(x(1)+x(2)+x(3))
Return
End Subroutine fun
End Module d01pa_t1w_fe_mod
Program d01pa_t1w_fe
! D01PA_T1W_F Example Main Program
! .. Use Statements ..
Use d01pa_t1w_fe_mod, Only: fun, ldvert, mxord, ndim, nout, sdvert
Use iso_c_binding, Only: c_ptr
Use nagad_library, Only: d01pa_t1w_f, nagad_t1w_w_rtype, x10aa_t1w_f, &
x10ab_t1w_f, Assignment (=)
Use nag_library, Only: nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Local Scalars ..
Type (c_ptr) :: ad_handle
Type (nagad_t1w_w_rtype) :: esterr
Integer :: i, ifail, j, maxord, minord, nevals
! .. Local Arrays ..
Type (nagad_t1w_w_rtype), Allocatable :: finvls(:), vert(:,:)
Type (nagad_t1w_w_rtype) :: ruser(1)
Real (Kind=nag_wp), Allocatable :: dfdv(:,:)
Integer :: iuser(1)
! .. Executable Statements ..
Write (nout,*) 'D01PA_T1W_F Example Program Results'
Allocate (finvls(mxord),vert(ldvert,sdvert),dfdv(ldvert,ndim))
vert(1:ldvert,1:ndim) = 0.0_nag_wp
Do j = 2, ldvert
vert(j,j-1) = 1.0_nag_wp
End Do
minord = 0
nevals = 1
! Create AD configuration data object
ifail = 0
Call x10aa_t1w_f(ad_handle,ifail)
Write (nout,*) ' Maxord Estimated Estimated Integrand'
Write (nout,*) ' value accuracy evaluations'
Do maxord = 1, mxord
! Call the AD routine
ifail = 0
Call d01pa_t1w_f(ad_handle,ndim,vert,ldvert,sdvert,fun,minord,maxord, &
finvls,esterr,iuser,ruser,ifail)
Write (nout,99999) maxord, finvls(maxord)%value, esterr%value, nevals
nevals = (nevals*(maxord+ndim+1))/maxord
End Do
99999 Format (1X,I4,F13.5,E16.3,I15)
Write (nout,*)
Write (nout,*) ' Derivatives calculated: First order tangents'
Write (nout,*) ' Computational mode : algorithmic'
Write (nout,*)
Write (nout,99998) ' Solution, I =', finvls(mxord)%value
Write (nout,*) ' Derivatives w.r.t vertices:'
Write (nout,*) ' i j d/dv(i,j)'
Do i = 1, ldvert
Do j = 1, ndim
vert(i,j)%tangent = 1.0_nag_wp
ifail = 0
minord = 0
Call d01pa_t1w_f(ad_handle,ndim,vert,ldvert,sdvert,fun,minord,mxord, &
finvls,esterr,iuser,ruser,ifail)
Write (nout,99997) i, j, finvls(mxord)%tangent
vert(i,j)%tangent = 0.0_nag_wp
End Do
End Do
99998 Format (1X,A,1X,F12.5)
99997 Format (1X,I3,1X,I3,1X,E12.4)
! Remove computational data object
ifail = 0
Call x10ab_t1w_f(ad_handle,ifail)
End Program d01pa_t1w_fe