! D01DAF Example Program Text
! Mark 27.0 Release. NAG Copyright 2019.
Module d01dafe_mod
! D01DAF 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 :: fa, fb, phi1, phi2a, phi2b
! .. Parameters ..
Integer, Parameter, Public :: nout = 6
Contains
Function phi1(y)
! .. Function Return Value ..
Real (Kind=nag_wp) :: phi1
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (In) :: y
! .. Executable Statements ..
phi1 = 0.0E0_nag_wp
Return
End Function phi1
Function phi2a(y)
! .. Function Return Value ..
Real (Kind=nag_wp) :: phi2a
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (In) :: y
! .. Intrinsic Procedures ..
Intrinsic :: sqrt
! .. Executable Statements ..
phi2a = sqrt(1.0E0_nag_wp-y*y)
Return
End Function phi2a
Function fa(x,y)
! .. Function Return Value ..
Real (Kind=nag_wp) :: fa
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (In) :: x, y
! .. Executable Statements ..
fa = x + y
Return
End Function fa
Function phi2b(y)
! .. Use Statements ..
Use nag_library, Only: x01aaf
! .. Function Return Value ..
Real (Kind=nag_wp) :: phi2b
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (In) :: y
! .. Executable Statements ..
phi2b = 0.5E0_nag_wp*x01aaf(y)
Return
End Function phi2b
Function fb(x,y)
! .. Function Return Value ..
Real (Kind=nag_wp) :: fb
! .. Scalar Arguments ..
Real (Kind=nag_wp), Intent (In) :: x, y
! .. Intrinsic Procedures ..
Intrinsic :: cos, sin
! .. Executable Statements ..
fb = y*y*(cos(x)+sin(x))
Return
End Function fb
End Module d01dafe_mod
Program d01dafe
! D01DAF Example Main Program
! .. Use Statements ..
Use d01dafe_mod, Only: fa, fb, nout, phi1, phi2a, phi2b
Use nag_library, Only: d01daf, nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Local Scalars ..
Real (Kind=nag_wp) :: absacc, ans, ya, yb
Integer :: ifail, npts
! .. Executable Statements ..
Write (nout,*) 'D01DAF Example Program Results'
ya = 0.0E0_nag_wp
yb = 1.0E0_nag_wp
absacc = 1.0E-6_nag_wp
ifail = 0
Call d01daf(ya,yb,phi1,phi2a,fa,absacc,ans,npts,ifail)
Write (nout,*)
Write (nout,*) 'First formulation'
Write (nout,99999) 'Integral =', ans
Write (nout,99998) 'Number of function evaluations =', npts
ifail = 0
Call d01daf(ya,yb,phi1,phi2b,fb,absacc,ans,npts,ifail)
Write (nout,*)
Write (nout,*) 'Second formulation'
Write (nout,99999) 'Integral =', ans
Write (nout,99998) 'Number of function evaluations =', npts
99999 Format (1X,A,F9.4)
99998 Format (1X,A,I5)
End Program d01dafe