* D01BDF Example Program Text * Mark 14 Revised. NAG Copyright 1989. * .. Parameters .. INTEGER NOUT PARAMETER (NOUT=6) * .. Scalars in Common .. DOUBLE PRECISION PI INTEGER KOUNT * .. Local Scalars .. DOUBLE PRECISION A, ABSERR, B, EPSABS, EPSREL, RESULT * .. External Functions .. DOUBLE PRECISION FST, X01AAF EXTERNAL FST, X01AAF * .. External Subroutines .. EXTERNAL D01BDF * .. Intrinsic Functions .. INTRINSIC ABS, MAX * .. Common blocks .. COMMON /TELNUM/PI, KOUNT * .. Executable Statements .. WRITE (NOUT,*) 'D01BDF Example Program Results' PI = X01AAF(0.0D0) EPSABS = 0.0D0 EPSREL = 1.0D-04 A = 0.0D0 B = 1.0D0 KOUNT = 0 * CALL D01BDF(FST,A,B,EPSABS,EPSREL,RESULT,ABSERR) * WRITE (NOUT,*) WRITE (NOUT,99999) 'A - lower limit of integration = ', A WRITE (NOUT,99999) 'B - upper limit of integration = ', B WRITE (NOUT,99998) 'EPSABS - absolute accuracy requested = ', + EPSABS WRITE (NOUT,99998) 'EPSREL - relative accuracy requested = ', + EPSREL WRITE (NOUT,*) WRITE (NOUT,99997) 'RESULT - approximation to the integral = ', + RESULT WRITE (NOUT,99998) 'ABSERR - estimate to the absolute error = ', + ABSERR WRITE (NOUT,99996) 'KOUNT - number of function evaluations = ', + KOUNT WRITE (NOUT,*) IF (KOUNT.GT.87 .OR. ABSERR.GT.MAX(EPSABS,EPSREL*ABS(RESULT))) + THEN WRITE (NOUT,*) + 'Warning - requested accuracy may not have been achieved' END IF STOP * 99999 FORMAT (1X,A,F10.4) 99998 FORMAT (1X,A,E9.2) 99997 FORMAT (1X,A,F9.5) 99996 FORMAT (1X,A,I4) END * DOUBLE PRECISION FUNCTION FST(X) * .. Scalar Arguments .. DOUBLE PRECISION X * .. Scalars in Common .. DOUBLE PRECISION PI INTEGER KOUNT * .. Intrinsic Functions .. INTRINSIC SIN * .. Common blocks .. COMMON /TELNUM/PI, KOUNT * .. Executable Statements .. KOUNT = KOUNT + 1 FST = (X**2)*SIN(10.0D0*PI*X) RETURN END