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ASME's Mechanical Engine…ing Toolkit 1997 December
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ASME's Mechanical Engineering Toolkit 1997 December.iso
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ranf3.for
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1987-09-21
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71 lines
REAL FUNCTION RANF(IRANDOM)
C THIS ROUTINE WAS FOUND ON PAGE 199 OF: NUMERICAL RECIPES
C THE ART OF SCIENTIFIC COMPUTING
C THE ROUTINE WAS ORIGINALLY WRITTEN BY DONALD E. KNUTH AND IS BASED
C ON A SUBTRACTIVE METHOD. IT HAS BEEN MODIFIED HERE TO WORK ENTIRELY
C IN FLOATING POINT (WITH THE EXCEPTION OF THE SEED VALUE WHICH MUST
C BE AN INTEGER).
PARAMETER (RBIG=4000000.,RSEED=1618033.,RZ=0.,RN=1.)
C ACCORDING TO KNUTH, ANY LARGE RBIG, AND ANY SMALLER (BUT STILL LARGE)
C RSEED CAN BE SUBSTITUTED FOR THE ABOVE VALUES
DIMENSION RA(55)
C THE SIZE OF RA IS SPECIAL AND SHOULD NOT BE MODIFIED; SEE KNUTH
DATA IFF /0/
GOTO 666
333 CONTINUE
IRANDOM=(-1)
666 CONTINUE
IF (IRANDOM.LT.0.OR.IFF.EQ.0) THEN
C INITIALIZATION
IFF=1
C INITIALIZE RA(55) USING THE SEED IRANDOM AND THE LARGE NUMBER RSEED
RJ=RSEED-IABS(IRANDOM)
RJ=MOD(RJ,RBIG)
RA(55)=RJ
RK=1
C NOW INITIALIZE THE REST OF THE TABLE, IN A SLIGHTLY RANDOM ORDER,
C WITH NUMBERS THAT ARE NOT ESPECIALLY RANDOM
DO 15 I=1,54
II=MOD(21*I,55)
RA(II)=RK
RK=RJ-RK
IF (RK.LT.RZ) RK=RK+RBIG
RJ=RA(II)
15 CONTINUE
C WE RANDOMIZE THEM BY "WARMING UP THE GENERATOR"
DO 13 K=1,4
DO 19 I=1,55
RA(I)=RA(I)-RA(1+MOD(I+30,55))
IF (RA(I).LT.RZ) RA(I)=RA(I)+RBIG
19 CONTINUE
13 CONTINUE
C PREPARE INDICES FOR OUR FIRST GENERATED NUMBER
INEXT=0
INEXTP=31
C THE CONSTANT 31 IS SPECIAL; SEE KNUTH
IRANDOM=1
ENDIF
C HERE IS WHERE WE START, EXCEPT ON INITIALIZATION
C INCREMENT INEXT, WRAPPING AROUND 56 TO 1
INEXT=INEXT+1
IF (INEXT.EQ.56) INEXT=1
C DITTO FOR INEXTP
INEXTP=INEXTP+1
IF (INEXTP.EQ.56) INEXTP=1
C NOW GENERATE A NEW RANDOM NUMBER SUBTRACTIVELY
RJ=RA(INEXT)-RA(INEXTP)
C BE SURE THAT IT IS IN RANGE
IF (RJ.LT.RZ) RJ=RJ+RBIG
C STORE IT
RA(INEXT)=RJ
ROUT=RJ*1./RBIG
C DOUBLE-CHECK THAT IT IS IN RANGE; IF IT IS NOT THEN GET A NEW NUMBER
IF (ROUT.LT.RZ.OR.ROUT.GT.RN) GOTO 333
C OUTPUT THE DERIVED UNIFORM DEVIATE
RANF=ROUT
RETURN
END
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