! D01EAF Example Program Text
! Mark 30.0 Release. NAG Copyright 2024.
Module d01eafe_mod
! D01EAF Example Program Module:
! Parameters and User-defined Routines
! .. Use Statements ..
Use nag_library, Only: nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Accessibility Statements ..
Private
Public :: funsub
! .. Parameters ..
Integer, Parameter :: mulcls = 1
Integer, Parameter, Public :: ndim = 4, nfun = 10, nout = 6
Integer, Parameter :: ircls = 2**ndim + 2*ndim*(ndim+1) + &
1
Integer, Parameter, Public :: lenwrk = (ndim+nfun+2)*(10+mulcls)
Integer, Parameter, Public :: mxcls = mulcls*ircls
Contains
Subroutine funsub(ndim,z,nfun,f)
! .. Scalar Arguments ..
Integer, Intent (In) :: ndim, nfun
! .. Array Arguments ..
Real (Kind=nag_wp), Intent (Out) :: f(nfun)
Real (Kind=nag_wp), Intent (In) :: z(ndim)
! .. Local Scalars ..
Real (Kind=nag_wp) :: sum_nag
Integer :: i, n
! .. Intrinsic Procedures ..
Intrinsic :: log, real, sin
! .. Executable Statements ..
sum_nag = 0.0E0_nag_wp
Do n = 1, ndim
sum_nag = sum_nag + real(n,kind=nag_wp)*z(n)
End Do
Do i = 1, nfun
f(i) = log(sum_nag)*sin(real(i,kind=nag_wp)+sum_nag)
End Do
Return
End Subroutine funsub
End Module d01eafe_mod
Program d01eafe
! D01EAF Example Main Program
! .. Use Statements ..
Use d01eafe_mod, Only: funsub, lenwrk, mxcls, ndim, nfun, nout
Use nag_library, Only: d01eaf, nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Local Scalars ..
Real (Kind=nag_wp) :: absreq, relreq
Integer :: i, ifail, maxcls, mincls, mulfac
! .. Local Arrays ..
Real (Kind=nag_wp), Allocatable :: a(:), absest(:), b(:), finest(:), &
wrkstr(:)
! .. Executable Statements ..
Write (nout,*) 'D01EAF Example Program Results'
Flush (nout)
Allocate (a(ndim),absest(nfun),b(ndim),finest(nfun),wrkstr(lenwrk))
a(1:ndim) = 0.0_nag_wp
b(1:ndim) = 1.0_nag_wp
mincls = 0
maxcls = mxcls
absreq = 0.0_nag_wp
relreq = 1.0E-3_nag_wp
If (ndim<=10) Then
mulfac = 2**ndim
Else
mulfac = 2*ndim**3
End If
loop: Do
ifail = -1
Call d01eaf(ndim,a,b,mincls,maxcls,nfun,funsub,absreq,relreq,lenwrk, &
wrkstr,finest,absest,ifail)
Select Case (ifail)
Case (1,3)
Write (nout,*)
Write (nout,99999) mincls
Write (nout,99998)
Do i = 1, nfun
Write (nout,99997) i, finest(i), absest(i)
End Do
Write (nout,*)
Flush (nout)
mincls = -1
maxcls = maxcls*mulfac
Case (0)
Write (nout,*)
Write (nout,99996) mincls
Write (nout,99998)
Do i = 1, nfun
Write (nout,99997) i, finest(i), absest(i)
End Do
Exit loop
Case Default
Exit loop
End Select
End Do loop
99999 Format (1X,'Results so far (',I7,' FUNSUB calls in last call of D01EAF)' &
)
99998 Format (/,1X,' I Integral Estimated error')
99997 Format (1X,I4,2F14.4)
99996 Format (1X,'Final Results (',I7,' FUNSUB calls in last call of D01EAF)')
End Program d01eafe