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fe4da5cc 1*
2* $Id$
3*
4* $Log$
5* Revision 1.1.1.1 1995/10/24 10:21:25 cernlib
6* Geant
7*
8*
9#include "geant321/pilot.h"
10*CMZ : 3.21/02 29/03/94 15.41.21 by S.Giani
11*-- Author :
12 SUBROUTINE GLANDG(YRAN)
13C.
14C. ******************************************************************
15C. * *
16C. * Copy of the CERN library routine GENLAN *
17C. * Generation of LANDAU-distributed random numbers by 4-point *
18C. * interpolation in the previously-tabulated inverse cumulative *
19C. * distribution *
20C. * *
21C. * ==>Called by : GLANDO *
22C. * *
23C. ******************************************************************
24C.
25 PARAMETER (RANGE1=0.807069,RANGE2=0.994869)
26 PARAMETER (X1BOT =0.0 ,X2BOT =0.791240)
27 PARAMETER (GP1INV=118.836 ,GP2INV=486.178 )
28C
29 DIMENSION XCUM1(100) , XCUM2(100)
30 DIMENSION RNDM(1)
31C
32C====> 1ST TABLE OF INVERSE CUMULATIVE LANDAU POINTS. ( 0.0<P<0.833 )
33 DATA XCUM1( 1) / -2.57000 / , XCUM1( 2) / -2.15412 /
34 DATA XCUM1( 3) / -1.94167 / , XCUM1( 4) / -1.79583 /
35 DATA XCUM1( 5) / -1.67975 / , XCUM1( 6) / -1.58090 /
36 DATA XCUM1( 7) / -1.49341 / , XCUM1( 8) / -1.41397 /
37 DATA XCUM1( 9) / -1.34057 / , XCUM1( 10) / -1.27185 /
38 DATA XCUM1( 11) / -1.20686 / , XCUM1( 12) / -1.14490 /
39 DATA XCUM1( 13) / -1.08545 / , XCUM1( 14) / -1.02809 /
40 DATA XCUM1( 15) / -.97249 / , XCUM1( 16) / -.91839 /
41 DATA XCUM1( 17) / -.86557 / , XCUM1( 18) / -.81386 /
42 DATA XCUM1( 19) / -.76308 / , XCUM1( 20) / -.71311 /
43 DATA XCUM1( 21) / -.66384 / , XCUM1( 22) / -.61515 /
44 DATA XCUM1( 23) / -.56696 / , XCUM1( 24) / -.51919 /
45 DATA XCUM1( 25) / -.47176 / , XCUM1( 26) / -.42462 /
46 DATA XCUM1( 27) / -.37769 / , XCUM1( 28) / -.33092 /
47 DATA XCUM1( 29) / -.28426 / , XCUM1( 30) / -.23767 /
48 DATA XCUM1( 31) / -.19109 / , XCUM1( 32) / -.14447 /
49 DATA XCUM1( 33) / -.09779 / , XCUM1( 34) / -.05100 /
50 DATA XCUM1( 35) / -.00405 / , XCUM1( 36) / .04308 /
51 DATA XCUM1( 37) / .09044 / , XCUM1( 38) / .13806 /
52 DATA XCUM1( 39) / .18598 / , XCUM1( 40) / .23423 /
53 DATA XCUM1( 41) / .28285 / , XCUM1( 42) / .33187 /
54 DATA XCUM1( 43) / .38134 / , XCUM1( 44) / .43128 /
55 DATA XCUM1( 45) / .48174 / , XCUM1( 46) / .53275 /
56 DATA XCUM1( 47) / .58435 / , XCUM1( 48) / .63658 /
57 DATA XCUM1( 49) / .68948 / , XCUM1( 50) / .74309 /
58 DATA XCUM1( 51) / .79746 / , XCUM1( 52) / .85263 /
59 DATA XCUM1( 53) / .90865 / , XCUM1( 54) / .96556 /
60 DATA XCUM1( 55) / 1.02342 / , XCUM1( 56) / 1.08228 /
61 DATA XCUM1( 57) / 1.14219 / , XCUM1( 58) / 1.20322 /
62 DATA XCUM1( 59) / 1.26542 / , XCUM1( 60) / 1.32887 /
63 DATA XCUM1( 61) / 1.39362 / , XCUM1( 62) / 1.45976 /
64 DATA XCUM1( 63) / 1.52736 / , XCUM1( 64) / 1.59650 /
65 DATA XCUM1( 65) / 1.66727 / , XCUM1( 66) / 1.73976 /
66 DATA XCUM1( 67) / 1.81407 / , XCUM1( 68) / 1.89032 /
67 DATA XCUM1( 69) / 1.96860 / , XCUM1( 70) / 2.04905 /
68 DATA XCUM1( 71) / 2.13180 / , XCUM1( 72) / 2.21699 /
69 DATA XCUM1( 73) / 2.30477 / , XCUM1( 74) / 2.39531 /
70 DATA XCUM1( 75) / 2.48878 / , XCUM1( 76) / 2.58540 /
71 DATA XCUM1( 77) / 2.68535 / , XCUM1( 78) / 2.78889 /
72 DATA XCUM1( 79) / 2.89626 / , XCUM1( 80) / 3.00775 /
73 DATA XCUM1( 81) / 3.12364 / , XCUM1( 82) / 3.24429 /
74 DATA XCUM1( 83) / 3.37005 / , XCUM1( 84) / 3.50136 /
75 DATA XCUM1( 85) / 3.63866 / , XCUM1( 86) / 3.78246 /
76 DATA XCUM1( 87) / 3.93334 / , XCUM1( 88) / 4.09194 /
77 DATA XCUM1( 89) / 4.25900 / , XCUM1( 90) / 4.43533 /
78 DATA XCUM1( 91) / 4.62186 / , XCUM1( 92) / 4.81960 /
79 DATA XCUM1( 93) / 5.02974 / , XCUM1( 94) / 5.25368 /
80 DATA XCUM1( 95) / 5.49312 / , XCUM1( 96) / 5.74987 /
81 DATA XCUM1( 97) / 6.02605 / , XCUM1( 98) / 6.32428 /
82 DATA XCUM1( 99) / 6.64773 / , XCUM1(100) / 7.00000 /
83C
84C====> 2ND TABLE OF INVERSE CUMULATIVE LANDAU POINTS. ( 0.791<P<0.995 )
85 DATA XCUM2( 1) / 5.50000 / , XCUM2( 2) / 5.56120 /
86 DATA XCUM2( 3) / 5.62347 / , XCUM2( 4) / 5.68684 /
87 DATA XCUM2( 5) / 5.75133 / , XCUM2( 6) / 5.81699 /
88 DATA XCUM2( 7) / 5.88383 / , XCUM2( 8) / 5.95191 /
89 DATA XCUM2( 9) / 6.02125 / , XCUM2( 10) / 6.09190 /
90 DATA XCUM2( 11) / 6.16391 / , XCUM2( 12) / 6.23732 /
91 DATA XCUM2( 13) / 6.31219 / , XCUM2( 14) / 6.38855 /
92 DATA XCUM2( 15) / 6.46646 / , XCUM2( 16) / 6.54597 /
93 DATA XCUM2( 17) / 6.62712 / , XCUM2( 18) / 6.70998 /
94 DATA XCUM2( 19) / 6.79460 / , XCUM2( 20) / 6.88103 /
95 DATA XCUM2( 21) / 6.96935 / , XCUM2( 22) / 7.05962 /
96 DATA XCUM2( 23) / 7.15192 / , XCUM2( 24) / 7.24633 /
97 DATA XCUM2( 25) / 7.34294 / , XCUM2( 26) / 7.44182 /
98 DATA XCUM2( 27) / 7.54306 / , XCUM2( 28) / 7.64676 /
99 DATA XCUM2( 29) / 7.75300 / , XCUM2( 30) / 7.86188 /
100 DATA XCUM2( 31) / 7.97351 / , XCUM2( 32) / 8.08800 /
101 DATA XCUM2( 33) / 8.20548 / , XCUM2( 34) / 8.32610 /
102 DATA XCUM2( 35) / 8.44997 / , XCUM2( 36) / 8.57725 /
103 DATA XCUM2( 37) / 8.70808 / , XCUM2( 38) / 8.84262 /
104 DATA XCUM2( 39) / 8.98103 / , XCUM2( 40) / 9.12349 /
105 DATA XCUM2( 41) / 9.27021 / , XCUM2( 42) / 9.42141 /
106 DATA XCUM2( 43) / 9.57730 / , XCUM2( 44) / 9.73812 /
107 DATA XCUM2( 45) / 9.90410 / , XCUM2( 46) / 10.07552 /
108 DATA XCUM2( 47) / 10.25265 / , XCUM2( 48) / 10.43584 /
109 DATA XCUM2( 49) / 10.62540 / , XCUM2( 50) / 10.82169 /
110 DATA XCUM2( 51) / 11.02508 / , XCUM2( 52) / 11.23598 /
111 DATA XCUM2( 53) / 11.45487 / , XCUM2( 54) / 11.68222 /
112 DATA XCUM2( 55) / 11.91855 / , XCUM2( 56) / 12.16441 /
113 DATA XCUM2( 57) / 12.42045 / , XCUM2( 58) / 12.68734 /
114 DATA XCUM2( 59) / 12.96580 / , XCUM2( 60) / 13.25663 /
115 DATA XCUM2( 61) / 13.56075 / , XCUM2( 62) / 13.87912 /
116 DATA XCUM2( 63) / 14.21280 / , XCUM2( 64) / 14.56296 /
117 DATA XCUM2( 65) / 14.93088 / , XCUM2( 66) / 15.31799 /
118 DATA XCUM2( 67) / 15.72593 / , XCUM2( 68) / 16.15650 /
119 DATA XCUM2( 69) / 16.61170 / , XCUM2( 70) / 17.09378 /
120 DATA XCUM2( 71) / 17.60523 / , XCUM2( 72) / 18.14884 /
121 DATA XCUM2( 73) / 18.72792 / , XCUM2( 74) / 19.34622 /
122 DATA XCUM2( 75) / 20.00796 / , XCUM2( 76) / 20.71792 /
123 DATA XCUM2( 77) / 21.48176 / , XCUM2( 78) / 22.30618 /
124 DATA XCUM2( 79) / 23.19862 / , XCUM2( 80) / 24.16809 /
125 DATA XCUM2( 81) / 25.22547 / , XCUM2( 82) / 26.38320 /
126 DATA XCUM2( 83) / 27.65658 / , XCUM2( 84) / 29.06490 /
127 DATA XCUM2( 85) / 30.63048 / , XCUM2( 86) / 32.38211 /
128 DATA XCUM2( 87) / 34.35555 / , XCUM2( 88) / 36.59607 /
129 DATA XCUM2( 89) / 39.16212 / , XCUM2( 90) / 42.13195 /
130 DATA XCUM2( 91) / 45.61204 / , XCUM2( 92) / 49.74758 /
131 DATA XCUM2( 93) / 54.74189 / , XCUM2( 94) / 60.89935 /
132 DATA XCUM2( 95) / 68.67370 / , XCUM2( 96) / 78.81480 /
133 DATA XCUM2( 97) / 92.61047 / , XCUM2( 98) / 112.50807 /
134 DATA XCUM2( 99) / 143.78539 / , XCUM2(100) / 200.00000 /
135C.
136C. ------------------------------------------------------------------
137C.
138 CALL GRNDM(RNDM,1)
139 X = RNDM(1)
140 IF(X .LT. 0.004) THEN
141*
142* *** Extreme left-hand tail
143 YRAN = -SQRT(ABS(LOG(X)))
144*
145 ELSEIF(X.LE.RANGE1) THEN
146*
147* *** 4-point interpolation in the first cumulative table
148 TABPO1 = (X-X1BOT)*GP1INV
149 J = TABPO1 + 1
150 J = MAX(J,2)
151 J = MIN(J,98)
152 P = TABPO1 - (J-1)
153 A = (P+1.0) * XCUM1(J+2) - (P-2.0) * XCUM1(J-1)
154 B = (P-1.0) * XCUM1(J) - P * XCUM1(J+1)
155 YRAN = A*P*(P-1.0)*0.16666667+B*(P+1.0)*(P-2.0)*0.5
156*
157 ELSEIF(X.LE.RANGE2) THEN
158*
159* *** 4-point interpolation in the first cumulative table
160 TABPO2 = (X-X2BOT)*GP2INV
161 J = TABPO2 + 1
162 J = MAX(J,2)
163 J = MIN(J,98)
164 P = TABPO2 - (J-1)
165 A = (P+1.0) * XCUM2(J+2) - (P-2.0) * XCUM2(J-1)
166 B = (P-1.0) * XCUM2(J) - P * XCUM2(J+1)
167 YRAN = A*P*(P-1.0)*0.16666667+B*(P+1.0)*(P-2.0)*0.5
168*
169 ELSE
170*
171* *** 1/x**2 sampling for extreme Landau tail
172 CALL GRNDM(RNDM,1)
173 YRAN=200./RNDM(1)
174*
175 ENDIF
176 END