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* Obtained from http://www.nag.com/local/nagping/np006a3.asp
* D02CJF Example Program Text
* Mark 14 Revised. NAG Copyright 1989.
* .. Parameters ..
CHARACTER RELABS*15 !NEW
INTEGER NOUT
PARAMETER (NOUT=6)
INTEGER N, IW
PARAMETER (N=3,IW=21*N+28)
* .. Scalars in Common ..
DOUBLE PRECISION H, XEND
INTEGER K
* .. Local Scalars ..
DOUBLE PRECISION PI, TOL, X
INTEGER I, IFAIL, J
* .. Local Arrays ..
DOUBLE PRECISION W(IW), Y(N)
* .. External Functions ..
DOUBLE PRECISION D02CJW, G, X01AAF
STDCALL EXTERNAL D02CJW, G, X01AAF !CHANGE
* .. External Subroutines ..
STDCALL EXTERNAL D02CJF, D02CJX, FCN, OUT !CHANGE
* .. Intrinsic Functions ..
INTRINSIC DBLE
* .. Common blocks ..
COMMON XEND, H, K
* .. Executable Statements ..
WRITE (NOUT,*) 'D02CJF Example Program Results'
RELABS = "Default" !NEW
XEND = 10.0D0
PI = X01AAF(0.0D0)
WRITE (NOUT,*)
WRITE (NOUT,*) 'Case 1: intermediate output, root-finding'
DO 20 J = 4, 5
TOL = 10.0D0**(-J)
WRITE (NOUT,*)
WRITE (NOUT,99999) ' Calculation with TOL =', TOL
X = 0.0D0
Y(1) = 0.5D0
Y(2) = 0.5D0
Y(3) = PI/5.0D0
K = 4
H = (XEND-X)/DBLE(K+1)
WRITE (NOUT,*) ' X Y(1) Y(2) Y(3)'
IFAIL = 0
*
CALL D02CJF(X,XEND,N,Y,FCN,TOL,VAL(LOC(RELABS)),VAL(7),OUT,G,W,!CHANGE
+ IFAIL)
*
WRITE (NOUT,99998) ' Root of Y(1) = 0.0 at', X
WRITE (NOUT,99997) ' Solution is', (Y(I),I=1,N)
20 CONTINUE
WRITE (NOUT,*)
WRITE (NOUT,*)
WRITE (NOUT,*) 'Case 2: no intermediate output, root-finding'
DO 40 J = 4, 5
TOL = 10.0D0**(-J)
WRITE (NOUT,*)
WRITE (NOUT,99999) ' Calculation with TOL =', TOL
X = 0.0D0
Y(1) = 0.5D0
Y(2) = 0.5D0
Y(3) = PI/5.0D0
IFAIL = 0
*
CALL D02CJF(X,XEND,N,Y,FCN,TOL,VAL(LOC(RELABS)),VAL(7),D02CJX, !CHANGE
+ G,W,IFAIL)
*
WRITE (NOUT,99998) ' Root of Y(1) = 0.0 at', X
WRITE (NOUT,99997) ' Solution is', (Y(I),I=1,N)
40 CONTINUE
WRITE (NOUT,*)
WRITE (NOUT,*)
WRITE (NOUT,*) 'Case 3: intermediate output, no root-finding'
DO 60 J = 4, 5
TOL = 10.0D0**(-J)
WRITE (NOUT,*)
WRITE (NOUT,99999) ' Calculation with TOL =', TOL
X = 0.0D0
Y(1) = 0.5D0
Y(2) = 0.5D0
Y(3) = PI/5.0D0
K = 4
H = (XEND-X)/DBLE(K+1)
WRITE (NOUT,*) ' X Y(1) Y(2) Y(3)'
IFAIL = 0
*
CALL D02CJF(X,XEND,N,Y,FCN,TOL,VAL(LOC(RELABS)),VAL(7),OUT, CHANGE
+ D02CJW,W,IFAIL)
*
60 CONTINUE
WRITE (NOUT,*)
WRITE (NOUT,*)
WRITE (NOUT,*)
+'Case 4: no intermediate output, no root-finding ( integrate to XE
+ND)'
DO 80 J = 4, 5
TOL = 10.0D0**(-J)
WRITE (NOUT,*)
WRITE (NOUT,99999) ' Calculation with TOL =', TOL
X = 0.0D0
Y(1) = 0.5D0
Y(2) = 0.5D0
Y(3) = PI/5.0D0
WRITE (NOUT,*) ' X Y(1) Y(2) Y(3)'
WRITE (NOUT,99996) X, (Y(I),I=1,N)
IFAIL = 0
*
CALL D02CJF(X,XEND,N,Y,FCN,TOL,VAL(LOC(RELABS)),VAL(7),D02CJX, !CHANGE
+ D02CJW,W,IFAIL)
*
WRITE (NOUT,99996) X, (Y(I),I=1,N)
80 CONTINUE
STOP
*
99999 FORMAT (1X,A,D8.1)
99998 FORMAT (1X,A,F7.3)
99997 FORMAT (1X,A,3F13.5)
99996 FORMAT (1X,F8.2,3F13.5)
END
*
STDCALL SUBROUTINE OUT(X,Y) !CHANGE
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
INTEGER N
PARAMETER (N=3)
* .. Scalar Arguments ..
DOUBLE PRECISION X
* .. Array Arguments ..
DOUBLE PRECISION Y(N)
* .. Scalars in Common ..
DOUBLE PRECISION H, XEND
INTEGER I
* .. Local Scalars ..
INTEGER J
* .. Intrinsic Functions ..
INTRINSIC DBLE
* .. Common blocks ..
COMMON XEND, H, I
* .. Executable Statements ..
WRITE (NOUT,99999) X, (Y(J),J=1,N)
X = XEND - DBLE(I)*H
I = I - 1
RETURN
*
99999 FORMAT (1X,F8.2,3F13.5)
END
*
STDCALL SUBROUTINE FCN(T,Y,F) !CHANGE
* .. Parameters ..
INTEGER N
PARAMETER (N=3)
* .. Scalar Arguments ..
DOUBLE PRECISION T
* .. Array Arguments ..
DOUBLE PRECISION F(N), Y(N)
* .. Intrinsic Functions ..
INTRINSIC COS, TAN
* .. Executable Statements ..
F(1) = TAN(Y(3))
F(2) = -0.032D0*TAN(Y(3))/Y(2) - 0.02D0*Y(2)/COS(Y(3))
F(3) = -0.032D0/Y(2)**2
RETURN
END
*
STDCALL DOUBLE PRECISION FUNCTION G(T,Y) !CHANGE
* .. Parameters ..
INTEGER N
PARAMETER (N=3)
* .. Scalar Arguments ..
DOUBLE PRECISION T
* .. Array Arguments ..
DOUBLE PRECISION Y(N)
* .. Executable Statements ..
G = Y(1)
RETURN
END
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