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1 *
2 * $Id$
3 *
4 * $Log$
5 * Revision 1.1.1.1  1995/10/24 10:19:54  cernlib
6 * Geant
7 *
8 *
9 #include "geant321/pilot.h"
10 *CMZ :  3.21/02 29/03/94  15.41.41  by  S.Giani
11 *-- Author :
12 *$ CREATE BETRST.FOR
13 *COPY BETRST
14 *
15 *=== betrst ===========================================================*
16 *
17       FUNCTION BETRST ( GAM, ETA, X0, X1 )
18  
19 #include "geant321/dblprc.inc"
20 #include "geant321/dimpar.inc"
21 #include "geant321/iounit.inc"
22 *
23 *----------------------------------------------------------------------*
24 *                                                                      *
25 *     New version:                                                     *
26 *     Created on 20 february 1991  by    Alfredo Ferrari & Paola Sala  *
27 *                                                   Infn - Milan       *
28 *                                                                      *
29 *     Last change on 20-feb-91     by    Alfredo Ferrari               *
30 *                                                                      *
31 *     Sampling from beta distribution in [X0,X1) :                     *
32 *                                                                      *
33 *     P(X) = X**(GAM-1.D0)*(1.D0-X)**(ETA-1)*GAMM(ETA+GAM)             *
34 *          / (GAMM(GAM*GAMM(ETA))                                      *
35 *                                                                      *
36 *----------------------------------------------------------------------*
37 *
38       REAL RNDM(2)
39 *
40 *  +-------------------------------------------------------------------*
41 *  |
42       IF ( X1 .LT. X0 ) THEN
43          WRITE (LUNOUT,*)' Betrst: x1<x0, gam, eta', X1, X0, GAM, ETA
44          WRITE (LUNERR,*)' Betrst: x1<x0, gam, eta', X1, X0, GAM, ETA
45          X0 = MIN ( X0, ONEONE-0.05 )
46          X1 = MIN ( ONEONE, X0/TWOTHI )
47       END IF
48 *  |
49 *  +-------------------------------------------------------------------*
50       GAMI  = 1.D+00 / GAM
51       X0GAM = X0**GAM
52       X1GAM = X1**GAM
53       X0TO1 = 1.D+00 - X0
54       CNORM = X1GAM - X0GAM
55       ETAM1 = ETA - 1.D+00
56       NTAM1 = NINT (ETA - 1.D+00)
57 *  +-------------------------------------------------------------------*
58 *  |
59       IF ( ETAM1 - NTAM1 .NE. 0.D+00 ) THEN
60 *  |  +----------------------------------------------------------------*
61 *  |  |  First sample from X**(gam-1) and then reject according to
62 *  |  |  (1-X)**(eta-1)
63   100    CONTINUE
64             CALL GRNDM(RNDM,2)
65             BETRST = ( RNDM (1) * CNORM + X0GAM )**GAMI
66             REJE   = ( ( 1.D+00 - BETRST ) / X0TO1 )**ETAM1
67          IF ( RNDM (2) .GE. REJE ) GO TO 100
68 *  |  |
69 *  |  +----------------------------------------------------------------*
70 *  |
71 *  +-------------------------------------------------------------------*
72 *  |
73       ELSE
74 *  |  +----------------------------------------------------------------*
75 *  |  |  First sample from X**(gam-1) and then reject according to
76 *  |  |  (1-X)**(eta-1)
77   200    CONTINUE
78             CALL GRNDM(RNDM,2)
79             BETRST = ( RNDM (1) * CNORM + X0GAM )**GAMI
80             REJE   = ( ( 1.D+00 - BETRST ) / X0TO1 )**NTAM1
81          IF ( RNDM (2) .GE. REJE ) GO TO 200
82 *  |  |
83 *  |  +----------------------------------------------------------------*
84       END IF
85 *  |
86 *  +-------------------------------------------------------------------*
87       RETURN
88 *=== End of function betrst ===========================================*
89       END