function DGAUSS(F,A,B,EPS) include 'types.f' real(dp):: DGAUSS real(dp):: F,A,B,EPS real(dp):: W(12),X(12),AA,BB,C1,C2,U,S8,S16,CONST logical:: MFLAG,RFLAG EXTERNAL F c c ****************************************************************** c c ADAPTIVE real(dp):: GAUSSIAN QUADRATURE. c c DGAUSS IS SET EQUAL TO THE APPROXIMATE VALUE OF THE INTEGRAL OF c THE function F OVER THE INTERVAL (A,B), WITH ACCURACY PARAMETER c EPS. c c ****************************************************************** c DATA W / 0.10122 85362 90376 259D0, & 0.22238 10344 53374 471D0, & 0.31370 66458 77887 287D0, & 0.36268 37833 78361 983D0, & 0.27152 45941 17540 949D-1, & 0.62253 52393 86478 929D-1, & 0.95158 51168 24927 848D-1, & 0.12462 89712 55533 872D0, & 0.14959 59888 16576 732D0, & 0.16915 65193 95002 538D0, & 0.18260 34150 44923 589D0, & 0.18945 06104 55068 496D0/ DATA X / 0.96028 98564 97536 232D0, & 0.79666 64774 13626 740D0, & 0.52553 24099 16328 986D0, & 0.18343 46424 95649 805D0, & 0.98940 09349 91649 933D0, & 0.94457 50230 73232 576D0, & 0.86563 12023 87831 744D0, & 0.75540 44083 55003 034D0, & 0.61787 62444 02643 748D0, & 0.45801 67776 57227 386D0, & 0.28160 35507 79258 913D0, & 0.95012 50983 76374 402D-1/ save W,X !$omp threadprivate(W,X) c c ****************************************************************** c c START. DGAUSS=0.0D0 IF(B.EQ.A) RETURN CONST=0.005D0/(B-A) BB=A c c COMPUTATIONAL LOOP. 1 AA=BB BB=B 2 C1=0.5D0*(BB+AA) C2=0.5D0*(BB-AA) S8=0.0D0 DO 3 I=1,4 U=C2*X(I) S8=S8+W(I)*(F(C1+U)+F(C1-U)) 3 CONTINUE S8=C2*S8 S16=0.0D0 DO 4 I=5,12 U=C2*X(I) S16=S16+W(I)*(F(C1+U)+F(C1-U)) 4 CONTINUE S16=C2*S16 IF( ABS(S16-S8) .LE. EPS*(1.+ABS(S16)) ) GO TO 5 BB=C1 IF( 1.D0+ABS(CONST*C2) .NE. 1.D0) GO TO 2 DGAUSS=0.0D0 CALL KERMTR('D103.1',LGFILE,MFLAG,RFLAG) IF(MFLAG) THEN IF(LGFILE.EQ.0) THEN WRITE(*,6) ELSE WRITE(LGFILE,6) ENDIF ENDIF IF(.NOT. RFLAG) CALL ABEND RETURN 5 DGAUSS=DGAUSS+S16 IF(BB.NE.B) GO TO 1 RETURN c 6 FORMAT( 4X, 'function DGAUSS ... TOO HIGH ACCURACY REQUIRED') END SUBROUTINE ABEND c c CERN PROGLIB# Z035 ABEND .VERSION KERNVAX 1.10 811126 STOP '*** ABEND ***' END SUBROUTINE KERSET(ERCODE,LGFILE,LIMITM,LIMITR) PARAMETER(KOUNTE = 27) CHARACTER*6 ERCODE, CODE(KOUNTE) logical:: MFLAG, RFLAG integer:: KNTM(KOUNTE), KNTR(KOUNTE) DATA LOGF / 0 / DATA CODE(1), KNTM(1), KNTR(1) / 'C204.1', 100, 100 / DATA CODE(2), KNTM(2), KNTR(2) / 'C204.2', 100, 100 / DATA CODE(3), KNTM(3), KNTR(3) / 'C204.3', 100, 100 / DATA CODE(4), KNTM(4), KNTR(4) / 'C205.1', 100, 100 / DATA CODE(5), KNTM(5), KNTR(5) / 'C205.2', 100, 100 / DATA CODE(6), KNTM(6), KNTR(6) / 'C305.1', 100, 100 / DATA CODE(7), KNTM(7), KNTR(7) / 'C308.1', 100, 100 / DATA CODE(8), KNTM(8), KNTR(8) / 'C312.1', 100, 100 / DATA CODE(9), KNTM(9), KNTR(9) / 'C313.1', 100, 100 / DATA CODE(10),KNTM(10),KNTR(10) / 'C336.1', 100, 100 / DATA CODE(11),KNTM(11),KNTR(11) / 'C337.1', 100, 100 / DATA CODE(12),KNTM(12),KNTR(12) / 'C341.1', 100, 100 / DATA CODE(13),KNTM(13),KNTR(13) / 'D103.1', 100, 100 / DATA CODE(14),KNTM(14),KNTR(14) / 'D106.1', 100, 100 / DATA CODE(15),KNTM(15),KNTR(15) / 'D209.1', 100, 100 / DATA CODE(16),KNTM(16),KNTR(16) / 'D509.1', 100, 100 / DATA CODE(17),KNTM(17),KNTR(17) / 'E100.1', 100, 100 / DATA CODE(18),KNTM(18),KNTR(18) / 'E104.1', 100, 100 / DATA CODE(19),KNTM(19),KNTR(19) / 'E105.1', 100, 100 / DATA CODE(20),KNTM(20),KNTR(20) / 'E208.1', 100, 100 / DATA CODE(21),KNTM(21),KNTR(21) / 'E208.2', 100, 100 / DATA CODE(22),KNTM(22),KNTR(22) / 'F010.1', 100, 0 / DATA CODE(23),KNTM(23),KNTR(23) / 'F011.1', 100, 0 / DATA CODE(24),KNTM(24),KNTR(24) / 'F012.1', 100, 0 / DATA CODE(25),KNTM(25),KNTR(25) / 'F406.1', 100, 0 / DATA CODE(26),KNTM(26),KNTR(26) / 'G100.1', 100, 100 / DATA CODE(27),KNTM(27),KNTR(27) / 'G100.2', 100, 100 / save LOGF,CODE,KNTM,KNTR !$omp threadprivate(LOGF,CODE,KNTM,KNTR) LOGF = LGFILE IF(ERCODE .EQ. ' ') THEN L = 0 ELSE DO 10 L = 1, 6 IF(ERCODE(1:L) .EQ. ERCODE) GOTO 12 10 CONTINUE 12 CONTINUE ENDIF DO 14 I = 1, KOUNTE IF(L .EQ. 0) GOTO 13 IF(CODE(I)(1:L) .NE. ERCODE(1:L)) GOTO 14 13 KNTM(I) = LIMITM KNTR(I) = LIMITR 14 CONTINUE RETURN ENTRY KERMTR(ERCODE,LOG,MFLAG,RFLAG) LOG = LOGF DO 20 I = 1, KOUNTE IF(ERCODE .EQ. CODE(I)) GOTO 21 20 CONTINUE WRITE(*,1000) ERCODE CALL ABEND RETURN 21 RFLAG = KNTR(I) .GE. 1 IF(RFLAG .AND. (KNTR(I) .LT. 100)) KNTR(I) = KNTR(I) - 1 MFLAG = KNTM(I) .GE. 1 IF(MFLAG .AND. (KNTM(I) .LT. 100)) KNTM(I) = KNTM(I) - 1 IF(.NOT. RFLAG) THEN IF(LOGF .LT. 1) THEN WRITE(*,1001) CODE(I) ELSE WRITE(LOGF,1001) CODE(I) ENDIF ENDIF IF(MFLAG .AND. RFLAG) THEN IF(LOGF .LT. 1) THEN WRITE(*,1002) CODE(I) ELSE WRITE(LOGF,1002) CODE(I) ENDIF ENDIF RETURN 1000 FORMAT(' KERNLIB LIBRARY ERROR. ' / & ' ERROR CODE ',A6,' NOT RECOGNIZED BY KERMTR', & ' ERROR MONITOR. RUN ABORTED.') 1001 FORMAT(/' ***** RUN TERMINATED BY CERN LIBRARY ERROR ', & 'CONDITION ',A6) 1002 FORMAT(/' ***** CERN LIBRARY ERROR CONDITION ',A6) END