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ralfulrich authoredralfulrich authored
rndm_dbl.f 10.84 KiB
C***********************************************************************
C
C interface to PHOJET double precision random number generator
C for SIBYLL \FR'14
C
C***********************************************************************
DOUBLE PRECISION FUNCTION S_RNDM(IDUMMY)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DUMMY = dble(IDUMMY)
S_RNDM= PHO_RNDM(DUMMY)
END
C***********************************************************************
C
C initialization routine for double precision random number generator
C calls PHO_RNDIN \FR'14
C
C***********************************************************************
SUBROUTINE RND_INI
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
COMMON /RNDMGAS/ ISET
ISET = 0
CALL PHO_RNDIN(12,34,56,78)
END
DOUBLE PRECISION FUNCTION GASDEV(Idum)
C***********************************************************************
C Gaussian deviation
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
IMPLICIT INTEGER(I-N)
COMMON /RNDMGAS/ ISET
SAVE
DATA ISET/0/
gasdev=idum
IF (ISET.EQ.0) THEN
1 V1=2.D0*S_RNDM(0)-1.D0
V2=2.D0*S_RNDM(1)-1.D0
R=V1**2+V2**2
IF(R.GE.1.D0)GO TO 1
FAC=SQRT(-2.D0*LOG(R)/R)
GSET=V1*FAC
GASDEV=V2*FAC
ISET=1
ELSE
GASDEV=GSET
ISET=0
ENDIF
RETURN
END
C***********************************************************************
DOUBLE PRECISION FUNCTION PHO_RNDM(DUMMY)
C***********************************************************************
C
C random number generator
C
C initialization by call to PHO_RNDIN needed!
C
C the algorithm is taken from
C G.Marsaglia, A.Zaman: 'Toward a unversal random number generator'
C Florida State Univ. preprint FSU-SCRI-87-70
C
C implementation by K. Hahn (Dec. 88), changed to include possibility
C of saving / reading generator registers to / from file (R.E. 10/98)
C
C generator should not depend on the hardware (if a real has
C at least 24 significant bits in internal representation),C the period is about 2**144,
C
C internal registers:
C U(97),C,CD,CM,I,J - seed values as initialized in PHO_RNDIN
C
C
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
SAVE
COMMON /PORAND/ U(97),C,CD,CM,I,J
100 CONTINUE
RNDMI = DUMMY
RNDMI = U(I)-U(J)
IF ( RNDMI.LT.0.D0 ) RNDMI = RNDMI+1.D0
U(I) = RNDMI
I = I-1
IF ( I.EQ.0 ) I = 97
J = J-1
IF ( J.EQ.0 ) J = 97
C = C-CD
IF ( C.LT.0.D0 ) C = C+CM
RNDMI = RNDMI-C
IF ( RNDMI.LT.0.D0 ) RNDMI = RNDMI+1.D0
IF((ABS(RNDMI).LT.0.D0).OR.(ABS(RNDMI-1.D0).LT.1.D-10)) GOTO 100
PHO_RNDM = RNDMI
END
CDECK ID>, PHO_RNDIN
SUBROUTINE PHO_RNDIN(NA1,NA2,NA3,NB1)
C***********************************************************************
C
C initialization of PHO_RNDM, has to be called before using PHO_RNDM
C
C input:
C NA1,NA2,NA3,NB1 - values for initializing the generator
C NA? must be in 1..178 and not all 1;
C 12,34,56 are the standard values
C NB1 must be in 1..168;
C 78 is the standard value
C
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
SAVE
COMMON /PORAND/ U(97),C,CD,CM,I,J
MA1 = NA1
MA2 = NA2
MA3 = NA3
MB1 = NB1
I = 97
J = 33
DO 20 II2 = 1,97
S = 0.D0
T = 0.5D0
DO 10 II1 = 1,24
MAT = MOD(MOD(MA1*MA2,179)*MA3,179)
MA1 = MA2
MA2 = MA3
MA3 = MAT
MB1 = MOD(53*MB1+1,169)
IF ( MOD(MB1*MAT,64).GE.32 ) S = S+T
T = 0.5D0*T
10 CONTINUE
U(II2) = S
20 CONTINUE C = 362436.D0/16777216.D0
CD = 7654321.D0/16777216.D0
CM = 16777213.D0/16777216.D0
END
CDECK ID>, PHO_RNDSI
SUBROUTINE PHO_RNDSI(UIN,CIN,CDIN,CMIN,IIN,JIN)
C***********************************************************************
C
C updates internal random number generator registers using
C registers given as arguments
C
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
SAVE
DIMENSION UIN(97)
COMMON /PORAND/ U(97),C,CD,CM,I,J
DO 10 KKK = 1,97
U(KKK) = UIN(KKK)
10 CONTINUE
C = CIN
CD = CDIN
CM = CMIN
I = IIN
J = JIN
END
CDECK ID>, PHO_RNDSO
SUBROUTINE PHO_RNDSO(UOUT,COUT,CDOUT,CMOUT,IOUT,JOUT)
C***********************************************************************
C
C copies internal registers from randon number generator
C to arguments
C
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
SAVE
DIMENSION UOUT(97)
COMMON /PORAND/ U(97),C,CD,CM,I,J
DO 10 KKK = 1,97
UOUT(KKK) = U(KKK)
10 CONTINUE
COUT = C
CDOUT = CD
CMOUT = CM
IOUT = I
JOUT = J
END
CDECK ID>, PHO_RNDTE
SUBROUTINE PHO_RNDTE(IO)
C***********************************************************************
C
C test of random number generator PHO_RNDM
C
C input:
C IO defines output
C 0 output only if an error is detected
C 1 output independend on an error
C
C uses PHO_RNDSI and PHO_RNDSO to bring the random number generator
C to same status as it had before the test runC
C***********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
SAVE
C input/output channels
INTEGER LI,LO
COMMON /POINOU/ LI,LO
DIMENSION UU(97)
DIMENSION U(6),X(6),D(6)
DATA U / 6533892.D0 , 14220222.D0 , 7275067.D0 ,
& 6172232.D0 , 8354498.D0 , 10633180.D0 /
CALL PHO_RNDSO(UU,CC,CCD,CCM,II,JJ)
CALL PHO_RNDIN(12,34,56,78)
DO 10 II1 = 1,20000
XX = PHO_RNDM(SD)
10 CONTINUE
SD = 0.D0
DO 20 II2 = 1,6
X(II2) = 4096.D0*(4096.D0*PHO_RNDM(XX))
D(II2) = X(II2)-U(II2)
SD = SD+ABS(D(II2))
20 CONTINUE
CALL PHO_RNDSI(UU,CC,CCD,CCM,II,JJ)
IF ((IO.EQ.1).OR.(ABS(SD).GT.0.D-10)) THEN
WRITE(LO,50) (U(I),X(I),D(I),I=1,6)
ENDIF
50 FORMAT(/,' PHO_RNDTE: test of the random number generator:',/,
& ' expected value calculated value difference',/,
& 6(F17.1,F20.1,F15.3,/),
& ' generator has the same status as before calling PHO_RNDTE',/)
END
CDECK ID>, PHO_RNDST
SUBROUTINE PHO_RNDST(MODE,FILENA)
C***********************************************************************
C
C read / write random number generator status from / to file
C
C input: MODE 1 read registers from file
C 2 dump registers to file
C
C FILENA file name
C
C***********************************************************************
IMPLICIT NONE
SAVE
INTEGER MODE
CHARACTER*(*) FILENA
C input/output channels
INTEGER LI,LO
COMMON /POINOU/ LI,LO
DOUBLE PRECISION UU,CC,CCD,CCM
DIMENSION UU(97)
INTEGER I,II,JJ
CHARACTER*80 CH_DUMMY
IF(MODE.EQ.1) THEN
WRITE(LO,'(/,1X,2A,A,/)') 'PHO_RNDST: ',
& 'reading random number registers from file ',FILENA
OPEN(12,FILE=FILENA,ERR=1010,STATUS='OLD')
READ(12,*,ERR=1010) CH_DUMMY
DO I=1,97
READ(12,*,ERR=1010) UU(I)
ENDDO
READ(12,*,ERR=1010) CC
READ(12,*,ERR=1010) CCD
READ(12,*,ERR=1010) CCM
READ(12,*,ERR=1010) II,JJ
CLOSE(12)
CALL PHO_RNDSI(UU,CC,CCD,CCM,II,JJ)
ELSE IF(MODE.EQ.2) THEN
WRITE(LO,'(/,1X,2A,A,/)') 'PHO_RNDST: ',
& 'dumping random number registers to file ',FILENA
OPEN(12,FILE=FILENA,ERR=1010,STATUS='UNKNOWN')
CALL PHO_RNDSO(UU,CC,CCD,CCM,II,JJ)
WRITE(12,'(1X,A)',ERR=1020) 'random number status registers:'
DO I=1,97
WRITE(12,'(1X,1P,E28.20)',ERR=1020) UU(I)
ENDDO
WRITE(12,'(1X,1P,E28.20)',ERR=1020) CC
WRITE(12,'(1X,1P,E28.20)',ERR=1020) CCD
WRITE(12,'(1X,1P,E28.20)',ERR=1020) CCM
WRITE(12,'(1X,2I4)',ERR=1020) II,JJ
CLOSE(12)
ELSE
WRITE(LO,'(/,1X,2A,I6,/)') 'PHO_RNDST: ',
& 'called with invalid mode, nothing done (mode)',MODE
ENDIF
RETURN
1010 CONTINUE
WRITE(LO,'(1X,2A,A,/)') 'PHO_RNDST: ',
& 'cannot open or read file ',FILENA
RETURN
1020 CONTINUE
WRITE(LO,'(1X,A,A,/)') 'PHO_RNDST: ',
& 'cannot open or write file ',FILENA
RETURN
END
C----------------------------------------
C standard generator
C----------------------------------------
REAL FUNCTION S_RNDM_std(IDUMMY)
C...Generator from the LUND montecarlo
C...Purpose: to generate random numbers uniformly distributed between
C...0 and 1, excluding the endpoints. COMMON/LUDATR/MRLU(6),RRLU(100)
SAVE /LUDATR/
EQUIVALENCE (MRLU1,MRLU(1)),(MRLU2,MRLU(2)),(MRLU3,MRLU(3)),
&(MRLU4,MRLU(4)),(MRLU5,MRLU(5)),(MRLU6,MRLU(6)),
&(RRLU98,RRLU(98)),(RRLU99,RRLU(99)),(RRLU00,RRLU(100))
C... Initialize generation from given seed.
S_RNDM_std = real(idummy)
IF(MRLU2.EQ.0) THEN
IF (MRLU1 .EQ. 0) MRLU1 = 19780503 ! initial seed
IJ=MOD(MRLU1/30082,31329)
KL=MOD(MRLU1,30082)
I=MOD(IJ/177,177)+2
J=MOD(IJ,177)+2
K=MOD(KL/169,178)+1
L=MOD(KL,169)
DO 110 II=1,97
S=0.
T=0.5
DO 100 JJ=1,24
M=MOD(MOD(I*J,179)*K,179)
I=J
J=K
K=M
L=MOD(53*L+1,169)
IF(MOD(L*M,64).GE.32) S=S+T
T=0.5*T
100 CONTINUE
RRLU(II)=S
110 CONTINUE
TWOM24=1.
DO 120 I24=1,24
TWOM24=0.5*TWOM24
120 CONTINUE
RRLU98=362436.*TWOM24
RRLU99=7654321.*TWOM24
RRLU00=16777213.*TWOM24
MRLU2=1
MRLU3=0
MRLU4=97
MRLU5=33
ENDIF
C...Generate next random number.
130 RUNI=RRLU(MRLU4)-RRLU(MRLU5)
IF(RUNI.LT.0.) RUNI=RUNI+1.
RRLU(MRLU4)=RUNI
MRLU4=MRLU4-1
IF(MRLU4.EQ.0) MRLU4=97
MRLU5=MRLU5-1
IF(MRLU5.EQ.0) MRLU5=97
RRLU98=RRLU98-RRLU99
IF(RRLU98.LT.0.) RRLU98=RRLU98+RRLU00
RUNI=RUNI-RRLU98
IF(RUNI.LT.0.) RUNI=RUNI+1.
IF(RUNI.LE.0.OR.RUNI.GE.1.) GOTO 130
C...Update counters. Random number to output.
MRLU3=MRLU3+1
IF(MRLU3.EQ.1000000000) THEN
MRLU2=MRLU2+1
MRLU3=0
ENDIF
S_RNDM_std=RUNI
END