! E05JC_T1W_F Example Program Text
! Mark 30.0 Release. NAG Copyright 2024.
Module e05jc_t1w_fe_mod
! E05JC_T1W_F Example Program Module:
! Parameters and User-defined Routines
! .. Use Statements ..
Use nagad_library, Only: exp, nagad_t1w_w_rtype, Operator (*), &
Operator (**), Operator (-), Operator (+), &
Operator (/)
Use nag_library, Only: nag_wp, x04baf
! .. Implicit None Statement ..
Implicit None
! .. Accessibility Statements ..
Private
Public :: monit, objfun
! .. Parameters ..
Integer, Parameter, Public :: lcomm = 100, nin = 5, ninopt = 7, &
nout = 6
! .. Local Scalars ..
Logical, Public, Save :: plot
Contains
Subroutine outbox(boxl,boxu)
! Displays edges of box with bounds BOXL and BOXU in format suitable
! for plotting.
! .. Array Arguments ..
Real (Kind=nag_wp), Intent (In) :: boxl(2), boxu(2)
! .. Local Scalars ..
Character (80) :: rec
! .. Executable Statements ..
Write (rec,99999) boxl(1), boxl(2)
Call x04baf(nout,rec)
Write (rec,99999) boxl(1), boxu(2)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99999) boxl(1), boxl(2)
Call x04baf(nout,rec)
Write (rec,99999) boxu(1), boxl(2)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99999) boxl(1), boxu(2)
Call x04baf(nout,rec)
Write (rec,99999) boxu(1), boxu(2)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99999) boxu(1), boxl(2)
Call x04baf(nout,rec)
Write (rec,99999) boxu(1), boxu(2)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Return
99999 Format (F20.15,1X,F20.15)
End Subroutine outbox
Subroutine objfun(ad_handle,n,x,f,nstate,iuser,ruser,inform)
! Routine to evaluate E05JB_T1W_F objective function.
! .. Use Statements ..
Use iso_c_binding, Only: c_ptr
! .. Scalar Arguments ..
Type (c_ptr), Intent (Inout) :: ad_handle
Type (nagad_t1w_w_rtype), Intent (Out) :: f
Integer, Intent (Out) :: inform
Integer, Intent (In) :: n, nstate
! .. Array Arguments ..
Type (nagad_t1w_w_rtype), Intent (Inout) :: ruser(*)
Type (nagad_t1w_w_rtype), Intent (In) :: x(n)
Integer, Intent (Inout) :: iuser(*)
! .. Local Scalars ..
Type (nagad_t1w_w_rtype) :: x1, x2
Character (80) :: rec
! .. Executable Statements ..
! This is a two-dimensional objective function.
! As an example of using the inform mechanism,
! terminate if any other problem size is supplied.
If (n/=2) Then
inform = -1
Else
inform = 0
If (inform>=0) Then
! If INFORM >= 0 then we're prepared to evaluate OBJFUN
! at the current X
If (nstate==1 .And. iuser(1)==0) Then
! This is the first call to OBJFUN
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99999)
Call x04baf(nout,rec)
iuser(1) = 1
End If
x1 = x(1)
x2 = x(2)
f = ruser(1)*(ruser(2)-x1)**2*exp(-(x1**2)-(x2+ruser(3))**2) - &
ruser(4)*(x1/5.0E0_nag_wp-x1**3-x2**5)*exp(-x1**2-x2**2) - &
ruser(5)*exp(-(x1+ruser(6))**2-x2**2)
End If
End If
Return
99999 Format (1X,'(OBJFUN was just called for the first time)')
End Subroutine objfun
Subroutine monit(n,ncall,xbest,icount,ninit,list,numpts,initpt,nbaskt, &
xbaskt,boxl,boxu,nstate,iuser,ruser,inform)
! Monitoring routine for E05JB_T1W_F.
! .. Scalar Arguments ..
Integer, Intent (Out) :: inform
Integer, Intent (In) :: n, nbaskt, ncall, ninit, nstate
! .. Array Arguments ..
Type (nagad_t1w_w_rtype), Intent (In) :: boxl(n), boxu(n), &
list(n,ninit), xbaskt(n,nbaskt), &
xbest(n)
Type (nagad_t1w_w_rtype), Intent (Inout) :: ruser(*)
Integer, Intent (In) :: icount(6), initpt(n), numpts(n)
Integer, Intent (Inout) :: iuser(*)
! .. Local Scalars ..
Integer :: i
Character (80) :: rec
! .. Executable Statements ..
inform = 0
If (inform>=0) Then
! We are going to allow the iterations to continue.
If (nstate==0 .Or. nstate==1) Then
! When NSTATE==1, MONIT is called for the first time. When
! NSTATE==0, MONIT is called for the first AND last time.
! Display a welcome message
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99999)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99998)
Call x04baf(nout,rec)
Do i = 1, n
Write (rec,99997)
Call x04baf(nout,rec)
Write (rec,99996) i
Call x04baf(nout,rec)
Write (rec,99995) numpts(i)
Call x04baf(nout,rec)
Write (rec,99994)
Call x04baf(nout,rec)
Write (rec,99993) list(i,1:numpts(i))%value
Call x04baf(nout,rec)
Write (rec,99992) initpt(i)
Call x04baf(nout,rec)
End Do
If (plot .And. (n==2)) Then
Write (rec,99991)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
End If
End If
If (plot .And. (n==2)) Then
! Display the coordinates of the edges of the current search
! box
Call outbox(boxl%value,boxu%value)
End If
If (nstate<=0) Then
! MONIT is called for the last time
If (plot .And. (n==2)) Then
Write (rec,99990)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
End If
Write (rec,99989) icount(1)
Call x04baf(nout,rec)
Write (rec,99988) 10*((ncall+5)/10)
Call x04baf(nout,rec)
Write (rec,99987)
Call x04baf(nout,rec)
Write (rec,99986) 10*((icount(2)+5)/10)
Call x04baf(nout,rec)
Write (rec,99985) icount(3)
Call x04baf(nout,rec)
Write (rec,99984) icount(4)
Call x04baf(nout,rec)
Write (rec,99983) icount(5)
Call x04baf(nout,rec)
Write (rec,99982) icount(6)
Call x04baf(nout,rec)
Write (rec,99981) nbaskt
Call x04baf(nout,rec)
Write (rec,99980)
Call x04baf(nout,rec)
Do i = 1, n
Write (rec,99979) i, xbaskt(i,1:nbaskt)%value
Call x04baf(nout,rec)
End Do
Write (rec,99978)
Call x04baf(nout,rec)
Write (rec,99977) xbest(1:n)%value
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99976)
Call x04baf(nout,rec)
Write (rec,'()')
Call x04baf(nout,rec)
End If
End If
Return
99999 Format (1X,'*** Begin monitoring information ***')
99998 Format (1X,'Values controlling initial splitting of a box:')
99997 Format (1X,'**')
99996 Format (1X,'In dimension ',I5)
99995 Format (1X,'Extent of initialization list in this dimension =',I5)
99994 Format (1X,'Initialization points in this dimension:')
99993 Format (1X,'LIST(I,1:NUMPTS(I)) =',(6F9.5))
99992 Format (1X,'Initial point in this dimension: LIST(I,',I5,')')
99991 Format (1X,'<Begin displaying search boxes>')
99990 Format (1X,'<End displaying search boxes>')
99989 Format (1X,'Total sub-boxes =',I5)
99988 Format (1X,'Total function evaluations (rounded to nearest 10) =',I5)
99987 Format (1X,'Total function evaluations used in local search (rounded')
99986 Format (3X,'to nearest 10) =',I5)
99985 Format (1X,'Total points used in local search =',I5)
99984 Format (1X,'Total sweeps through levels =',I5)
99983 Format (1X,'Total splits by init. list =',I5)
99982 Format (1X,'Lowest level with nonsplit boxes =',I5)
99981 Format (1X,'Number of candidate minima in the "shopping basket','" =', &
I5)
99980 Format (1X,'Shopping basket:')
99979 Format (1X,'XBASKT(',I3,',:) =',(6F9.5))
99978 Format (1X,'Best point:')
99977 Format (1X,'XBEST =',(6F9.5))
99976 Format (1X,'*** End monitoring information ***')
End Subroutine monit
End Module e05jc_t1w_fe_mod
Program e05jc_t1w_fe
! E05JC_T1W_F Example Main Program
! This program demonstrates the use of routines to set and get
! values of optional parameters associated with E05JB_T1W_F
! .. Use Statements ..
Use e05jc_t1w_fe_mod, Only: lcomm, monit, nin, ninopt, nout, objfun, &
plot
Use iso_c_binding, Only: c_ptr
Use nagad_library, Only: e05ja_t1w_f, e05jb_t1w_f, e05jb_t1w_k, &
e05jc_t1w_f, e05jd_t1w_f, e05je_t1w_f, &
e05jf_t1w_f, e05jg_t1w_f, e05jh_t1w_f, &
e05jj_t1w_f, e05jk_t1w_f, e05jl_t1w_f, &
nagad_t1w_set_derivative, nagad_t1w_w_rtype, &
x10aa_t1w_f, x10ab_t1w_f, Assignment (=)
Use nag_library, Only: nag_wp, x04acf, x04baf, x04caf
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: n = 2
Character (*), Parameter :: fname = 'e05jc_t1w_fe.opt'
! .. Local Scalars ..
Type (c_ptr) :: ad_handle
Type (nagad_t1w_w_rtype) :: loctol, obj, sqtol
Integer :: i, ibdchk, ibound, ifail, iinit, j, &
loclim, mode, n_r, sdlist, stclim
Character (3) :: lcsrch
Character (80) :: rec
! .. Local Arrays ..
Type (nagad_t1w_w_rtype) :: bl(n), bu(n), comm(lcomm), ruser(6), &
x(n)
Type (nagad_t1w_w_rtype), Allocatable :: list(:,:)
Real (Kind=nag_wp) :: br(n), x_r(6)
Real (Kind=nag_wp), Allocatable :: rlist(:,:)
Integer :: initpt(n), iuser(1), numpts(n)
! .. Intrinsic Procedures ..
Intrinsic :: count, sqrt, trim
! .. Executable Statements ..
Write (rec,99992) 'E05JC_T1W_F Example Program Results'
! Create AD configuration data object
ifail = 0
Call x10aa_t1w_f(ad_handle,ifail)
Call x04baf(nout,rec)
! Skip heading in data file
Read (nin,*)
Read (nin,*) sdlist
Allocate (list(n,sdlist))
Allocate (rlist(n,sdlist))
Read (nin,*) ibound
If (ibound==0) Then
! Read in the whole of each bound
Read (nin,*)(br(i),i=1,n)
bl = br
Read (nin,*)(br(i),i=1,n)
bu = br
Else If (ibound==3) Then
! Bounds are uniform: read in only the first entry of each
Read (nin,*) br(1)
bl(1) = br(1)
Read (nin,*) br(1)
bu(1) = br(1)
End If
Read (nin,*) iinit
If (iinit==3) Then
! User is specifying the initialization list
Read (nin,*)(numpts(i),i=1,n)
Read (nin,*)((rlist(i,j),j=1,numpts(i)),i=1,n)
list = rlist
Read (nin,*)(initpt(i),i=1,n)
End If
! PLOT determines whether MONIT displays information on
! the current search box:
Read (nin,*) plot
ruser(1) = 3.0_nag_wp
ruser(2) = 1.0_nag_wp
ruser(3) = 1.0_nag_wp
ruser(4) = 10.0_nag_wp
ruser(5) = 1.0_nag_wp/3.0_nag_wp
ruser(6) = 1.0_nag_wp
iuser(1) = 0
! The first argument to E05JA_T1W_F is a legacy argument and has no
! significance.
ifail = 0
Call e05ja_t1w_f(0,comm,lcomm,ifail)
! Open the options file for reading
mode = 0
ifail = 0
Call x04acf(ninopt,fname,mode,ifail)
! Use E05JC_T1W_F to read some options from the options file
ifail = 0
Call e05jc_t1w_f(ad_handle,ninopt,comm,lcomm,ifail)
Write (rec,'()')
Call x04baf(nout,rec)
! Use E05JK_T1W_F to find the value of the integer-valued option
! 'Local Searches Limit'
ifail = 0
Call e05jk_t1w_f('Local Searches Limit',loclim,comm,lcomm,ifail)
Write (rec,99999) loclim
Call x04baf(nout,rec)
! Compute the number of free variables, then use E05JF_T1W_F to set the value
! of the integer-valued option 'Static Limit'
n_r = count(bl(1:n)%value/=bu(1:n)%value)
stclim = 4*n_r
ifail = 0
Call e05jf_t1w_f(ad_handle,'Static Limit',stclim,comm,lcomm,ifail)
! Use E05JH_T1W_F to determine whether the real-valued option
! 'Infinite Bound Size' has been set by us (in which case
! E05JH_T1W_F returns 1) or whether it holds its default value
! (E05JH_T1W_F returns 0)
ifail = 0
Call e05jh_t1w_f('Infinite Bound Size',ibdchk,comm,lcomm,ifail)
If (ibdchk==1) Then
Write (rec,99998)
Call x04baf(nout,rec)
Else If (ibdchk==0) Then
Write (rec,99997)
Call x04baf(nout,rec)
End If
! Use E05JL_T1W_F/E05JG_T1W_F to set the real-valued option
! 'Local Searches Tolerance' to the square root of its default
ifail = 0
Call e05jl_t1w_f(ad_handle,'Local Searches Tolerance',loctol,comm,lcomm, &
ifail)
sqtol = sqrt(loctol%value)
ifail = 0
Call e05jg_t1w_f(ad_handle,'Local Searches Tolerance',sqtol,comm,lcomm, &
ifail)
! Use E05JL_T1W_F to get the new value of 'Local Searches Tolerance'
ifail = 0
Call e05jl_t1w_f(ad_handle,'Local Searches Tolerance',loctol,comm,lcomm, &
ifail)
Write (rec,99996) loctol%value
Call x04baf(nout,rec)
! Use E05JD_T1W_F to set the option 'Minimize' (which is the default)
ifail = 0
Call e05jd_t1w_f(ad_handle,'Minimize',comm,lcomm,ifail)
! Use E05JE_T1W_F to set the option 'Local Searches' to 'On' (also
! the default)
lcsrch = 'On'
ifail = 0
Call e05je_t1w_f(ad_handle,'Local Searches',lcsrch,comm,lcomm,ifail)
! Get that value of 'Local Searches' using E05JJ_T1W_F
ifail = 0
Call e05jj_t1w_f('Local Searches',lcsrch,comm,lcomm,ifail)
Write (rec,99995) trim(lcsrch)
Call x04baf(nout,rec)
Do i = 1, 6
Call nagad_t1w_set_derivative(ruser(i),1.0_nag_wp)
! Solve the problem.
obj = 0.0_nag_wp
ifail = 0
If (i==1) Then
Call e05jb_t1w_f(ad_handle,n,objfun,ibound,iinit,bl,bu,sdlist,list, &
numpts,initpt,monit,x,obj,comm,lcomm,iuser,ruser,ifail)
Else
Call e05jb_t1w_f(ad_handle,n,objfun,ibound,iinit,bl,bu,sdlist,list, &
numpts,initpt,e05jb_t1w_k,x,obj,comm,lcomm,iuser,ruser,ifail)
End If
ruser(i)%tangent = 0.0_nag_wp
x_r(i) = obj%tangent
End Do
Write (rec,'()')
Call x04baf(nout,rec)
Write (rec,99994) obj%value
Call x04baf(nout,rec)
Write (rec,99993)(x(i)%value,i=1,n)
Call x04baf(nout,rec)
Write (nout,*)
Write (nout,*) ' Derivatives calculated: First order tangents'
Write (nout,*) ' Computational mode : algorithmic'
Write (nout,*)
Call x04caf('General',' ',6,1,x_r,6,' dobj/druser',ifail)
Write (nout,*)
! Remove computational data object
Call x10ab_t1w_f(ad_handle,ifail)
99999 Format (1X,'Option "Local Searches Limit" has the value ',I6,'.')
99998 Format (1X,'Option "Infinite Bound Size" has been set by us.')
99997 Format (1X,'Option "Infinite Bound Size" holds its default value.')
99996 Format (1X,'Option "Local Searches Tolerance" has the value ',E13.5,'.')
99995 Format (1X,'Option "Local Searches" has the value "',A,'".')
99994 Format (1X,'Final objective value =',F11.5)
99993 Format (1X,'Global optimum X =',2F9.5)
99992 Format (1X,A)
End Program e05jc_t1w_fe