! C06LAF Example Program Text
! Mark 25 Release. NAG Copyright 2014.
Module c06lafe_mod
! C06LAF 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 :: fun
! .. Parameters ..
Integer, Parameter, Public :: nin = 5, nout = 6
Contains
Subroutine fun(pr,pi,fr,fi)
! Function to be inverted
! .. Use Statements ..
Use nag_library, Only: a02acf
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (Out) :: fi, fr
Real (Kind=nag_wp), Intent (In) :: pi, pr
! .. Local Scalars ..
Real (Kind=nag_wp) :: xi, xr, yi, yr
! .. Executable Statements ..
xr = 1.0_nag_wp
xi = 0.0_nag_wp
yr = pr + 0.5_nag_wp
yi = pi
Call a02acf(xr,xi,yr,yi,fr,fi)
Return
End Subroutine fun
End Module c06lafe_mod
Program c06lafe
! C06LAF Example Main Program
! .. Use Statements ..
Use nag_library, Only: c06laf, nag_wp
Use c06lafe_mod, Only: fun, nin, nout
! .. Implicit None Statement ..
Implicit None
! .. Local Scalars ..
Real (Kind=nag_wp) :: ahigh, alow, alphab, relerr, tfac
Integer :: i, ifail, itest, mxterm, n, n1, &
na, nfeval, nterms
! .. Local Arrays ..
Real (Kind=nag_wp), Allocatable :: errest(:), t(:), trurel(:), &
trures(:), valinv(:), work(:)
! .. Intrinsic Procedures ..
Intrinsic :: abs, exp, real
! .. Executable Statements ..
Write (nout,*) 'C06LAF Example Program Results'
Write (nout,*)
Write (nout,*) '(results may be machine-dependent)'
! Skip heading in data file
Read (nin,*)
Read (nin,*) n, mxterm
Allocate (errest(n),t(n),trurel(n),trures(n),valinv(n),work(4*mxterm+2))
t(1) = 1.0_nag_wp
alphab = -0.5_nag_wp
tests: Do itest = 1, 3
Select Case (itest)
Case (1)
! Test for values of a close to alphab
relerr = 0.01E0_nag_wp
tfac = 7.5E0_nag_wp
n1 = 1
Write (nout,99997) t(1)
Case (2)
! Test for larger values of a
relerr = 1.0E-3_nag_wp
tfac = 0.8E0_nag_wp
n1 = 1
Write (nout,99997) t(1)
Case (3)
Write (nout,'(/1x,A/)') 'Compute inverse'
n1 = 5
Do i = 1, n1
t(i) = real(i,kind=nag_wp)
End Do
End Select
Write (nout,99999) mxterm, tfac, alphab, relerr
ifail = -1
Call c06laf(fun,n1,t,valinv,errest,relerr,alphab,tfac,mxterm,nterms, &
na,alow,ahigh,nfeval,work,ifail)
If (ifail==0 .Or. ifail>=5) Then
Write (nout,*)
Write (nout,*) ' T Result exp(-T/2) ', &
'Relative error Error estimate'
trures(1:n1) = exp(-0.5_nag_wp*t(1:n1))
trurel(1:n1) = abs((valinv(1:n1)-trures(1:n1))/trures(1:n1))
Write (nout,99998)(t(i),valinv(i),trures(i),trurel(i),errest(i),i=1, &
n1)
Else
Exit tests
End If
End Do tests
If (ifail>=0) Then
Write (nout,99996) nterms, nfeval, alow, ahigh, ifail
End If
99999 Format (1X,' MXTERM =',I4,' TFAC =',F6.2,' ALPHAB =',F6.2, &
' RELERR =',1P,E8.1)
99998 Format (1X,F4.1,7X,F6.3,9X,F6.3,8X,E8.1,8X,E8.1)
99997 Format (/1X,'Test with T(1) =',F4.1/)
99996 Format (/1X,' NTERMS =',I4,' NFEVAL =',I4,' ALOW =',F7.2,' AHIGH =', &
F7.2,' IFAIL =',I2)
End Program c06lafe