1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
|
*DECK PIJI3D
SUBROUTINE PIJI3D(NREG,NSOUT,NSLINE,NCOR,
> SWVOID,SIGTAL,WEIGHT,
> SEGLEN,NRSEG,
> STAYIN,GOSOUT,DPR)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Integration for general 3D isotropic tracking.
*
*Copyright:
* Copyright (C) 1991 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): R. Roy
*
*Parameters: input
* NREG total number of regions.
* NSOUT number of outer surface.
* NSLINE number of segemnts on line.
* NCOR maximum number of corners.
* SWVOID flag to indicate if there are voids.
* SIGTAL albedo-cross section vector.
* WEIGHT line weight.
* SEGLEN length of track.
* NRSEG region crossed by track.
*
*Parameters: output
* DPR CP matrix.
*
*Parameters: scratch
* STAYIN stay-in zone probability.
* GOSOUT goes-out zone probability.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*----
* VARIABLES
*----
INTEGER NREG,NSOUT,NSLINE,NCOR,NRSEG(NSLINE)
LOGICAL SWVOID
REAL SIGTAL(-NSOUT:NREG)
DOUBLE PRECISION WEIGHT,SEGLEN(NSLINE),STAYIN(NSLINE),
> GOSOUT(NSLINE)
DOUBLE PRECISION DPR(-NSOUT:NREG,-NSOUT:NREG)
*----
* Local variables
*----
INTEGER IL,JL,NOIL
REAL ZERO, ONE, HALF
DOUBLE PRECISION XSIL, PRODUC, DSCBEG, DSCEND, ZCOR, ZCOR2
INTEGER ICSEG,JCSEG,ISD,ISF
PARAMETER (ZERO=0.0E0, ONE=1.0E0, HALF=0.5E0 )
REAL SIXT,CUTEXP
PARAMETER (SIXT=HALF/3.0,CUTEXP=0.02)
DOUBLE PRECISION EXSIL,XSIL2
*----
* Process track required
*----
IF( NCOR.EQ.1 )THEN
*
*1) ONLY ONE EXTERNAL SURFACE AT END --------------------------------
ISD=NRSEG(1)
ISF=NRSEG(NSLINE)
IF( SWVOID )THEN
PRODUC= WEIGHT
* PII CALCULATION AND ESCAPE
DO 40 IL = 1,NSLINE-2
ICSEG=IL+1
NOIL = NRSEG(ICSEG)
XSIL = SIGTAL(NOIL)*SEGLEN(ICSEG)
IF( XSIL.EQ.ZERO )THEN
GOSOUT(IL)= ONE
STAYIN(IL)= SEGLEN(ICSEG)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL)
> + HALF*WEIGHT*SEGLEN(ICSEG)*SEGLEN(ICSEG)
ELSE IF(XSIL .LT. CUTEXP) THEN
XSIL2=XSIL*XSIL
EXSIL=XSIL2*(HALF-SIXT*XSIL)
STAYIN(IL)=XSIL-EXSIL
GOSOUT(IL)=ONE-STAYIN(IL)
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*EXSIL
ELSE
EXSIL=EXP( - XSIL )
STAYIN(IL)= ONE - EXSIL
GOSOUT(IL)= EXSIL
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*(XSIL-STAYIN(IL))
ENDIF
40 CONTINUE
* PIJ CALCULATION
DSCBEG= WEIGHT
DO 60 IL = 1, NSLINE-2
ICSEG=IL+1
NOIL = NRSEG(ICSEG)
DSCEND= WEIGHT*STAYIN(IL)
DO 50 JL = IL+1, NSLINE-2
JCSEG=JL+1
DPR(NRSEG(JCSEG),NOIL)=
> DPR(NRSEG(JCSEG),NOIL) + STAYIN(JL)*DSCEND
DSCEND= DSCEND*GOSOUT(JL)
50 CONTINUE
* PIS CALCULATION
DPR(ISD,NOIL)= DPR(ISD,NOIL)+DSCBEG*STAYIN(IL)
DPR(ISF,NOIL)= DPR(ISF,NOIL)+DSCEND
DSCBEG= DSCBEG * GOSOUT(IL)
60 CONTINUE
* PSS CALCULATION
DPR(ISD,ISF)= DPR(ISD,ISF) + PRODUC
ELSE
*
*1.2) NO VOID REGION
PRODUC= WEIGHT
* PII CALCULATION AND ESCAPE
DO 140 IL = 1,NSLINE-2
ICSEG=IL+1
NOIL = NRSEG(ICSEG)
XSIL = SIGTAL(NOIL)*SEGLEN(ICSEG)
IF(XSIL .LT. CUTEXP) THEN
XSIL2=XSIL*XSIL
EXSIL=XSIL2*(HALF-SIXT*XSIL)
STAYIN(IL)=XSIL-EXSIL
GOSOUT(IL)=ONE-STAYIN(IL)
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*EXSIL
ELSE
EXSIL=EXP( - XSIL )
STAYIN(IL)= ONE - EXSIL
GOSOUT(IL)= EXSIL
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*(XSIL-STAYIN(IL))
ENDIF
140 CONTINUE
* PIJ CALCULATION
DSCBEG= WEIGHT
DO 160 IL = 1, NSLINE-2
ICSEG=IL+1
NOIL = NRSEG(ICSEG)
DSCEND= WEIGHT*STAYIN(IL)
DO 150 JL = IL+1, NSLINE-2
JCSEG=JL+1
DPR(NRSEG(JCSEG),NOIL)=
> DPR(NRSEG(JCSEG),NOIL)+ STAYIN(JL)*DSCEND
DSCEND= DSCEND*GOSOUT(JL)
150 CONTINUE
* PIS CALCULATION
DPR(ISD,NOIL)= DPR(ISD,NOIL)+DSCBEG*STAYIN(IL)
DPR(ISF,NOIL)= DPR(ISF,NOIL)+DSCEND
DSCBEG= DSCBEG * GOSOUT(IL)
160 CONTINUE
* PSS CALCULATION
DPR(ISD,ISF)= DPR(ISD,ISF) + PRODUC
ENDIF
ELSE
*
*2) MORE THAN ONE SURFACE PER LINE ----------------------------------
ZCOR= 1./FLOAT(NCOR)
ZCOR2= ZCOR*ZCOR
IF( SWVOID )THEN
*
*2.1) VOIDS ARE POSSIBLE
PRODUC= WEIGHT*ZCOR2
* PII CALCULATION AND ESCAPE
DO 240 IL = 1,NSLINE-2*NCOR
ICSEG=IL+NCOR
NOIL = NRSEG(ICSEG)
XSIL = SIGTAL(NOIL)*SEGLEN(ICSEG)
IF( XSIL.EQ.ZERO )THEN
GOSOUT(IL)= ONE
STAYIN(IL)= SEGLEN(ICSEG)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL)
> + HALF*WEIGHT*SEGLEN(ICSEG)*SEGLEN(ICSEG)
ELSE IF(XSIL .LT. CUTEXP) THEN
XSIL2=XSIL*XSIL
STAYIN(IL)=XSIL-XSIL2*(HALF-SIXT*XSIL)
GOSOUT(IL)=ONE-STAYIN(IL)
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL)
> + WEIGHT*XSIL2*(HALF-SIXT*XSIL)
ELSE
GOSOUT(IL)= EXP( - XSIL )
STAYIN(IL)= (ONE - GOSOUT(IL))
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*(XSIL-STAYIN(IL))
ENDIF
240 CONTINUE
* PIJ CALCULATION
DSCBEG= WEIGHT*ZCOR
DO 260 IL = 1, NSLINE-2*NCOR
ICSEG=IL+NCOR
NOIL = NRSEG(ICSEG)
DSCEND= WEIGHT*STAYIN(IL)
DO 250 JL = IL+1, NSLINE-2*NCOR
JCSEG=JL+NCOR
DPR(NRSEG(JCSEG),NOIL)=
> DPR(NRSEG(JCSEG),NOIL)+ STAYIN(JL)*DSCEND
DSCEND= DSCEND*GOSOUT(JL)
250 CONTINUE
* PIS CALCULATION
DO 261 JL = 1, NCOR
ISD=NRSEG(JL)
ISF=NRSEG(NSLINE-NCOR+JL)
DPR(ISD,NOIL)= DPR(ISD,NOIL)+DSCBEG*STAYIN(IL)
DPR(ISF,NOIL)= DPR(ISF,NOIL)+DSCEND*ZCOR
261 CONTINUE
DSCBEG= DSCBEG*GOSOUT(IL)
260 CONTINUE
* PSS CALCULATION
DO 270 IL = 1, NCOR
ISD=NRSEG(IL)
DO 265 JL = 1, NCOR
ISF=NRSEG(NSLINE-NCOR+JL)
DPR(ISD,ISF)= DPR(ISD,ISF) + PRODUC
265 CONTINUE
270 CONTINUE
ELSE
*
*2.2) NO VOID REGION
PRODUC= WEIGHT*ZCOR2
* PII CALCULATION AND ESCAPE
DO 340 IL = 1,NSLINE-2*NCOR
ICSEG=IL+NCOR
NOIL = NRSEG(ICSEG)
XSIL = SIGTAL(NOIL)*SEGLEN(ICSEG)
IF(XSIL .LT. CUTEXP) THEN
XSIL2=XSIL*XSIL
STAYIN(IL)=XSIL-XSIL2*(HALF-SIXT*XSIL)
GOSOUT(IL)=ONE-STAYIN(IL)
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL)
> + WEIGHT*XSIL2*(HALF-SIXT*XSIL)
ELSE
GOSOUT(IL)= EXP( - XSIL )
STAYIN(IL)= (ONE - GOSOUT(IL))
PRODUC= PRODUC * GOSOUT(IL)
DPR(NOIL,NOIL)= DPR(NOIL,NOIL) + WEIGHT*(XSIL-STAYIN(IL))
ENDIF
340 CONTINUE
* PIJ CALCULATION
DSCBEG= WEIGHT*ZCOR
DO 360 IL = 1, NSLINE-2*NCOR
ICSEG=IL+NCOR
NOIL = NRSEG(ICSEG)
DSCEND= WEIGHT*STAYIN(IL)
DO 350 JL = IL+1, NSLINE-2*NCOR
JCSEG=JL+NCOR
DPR(NRSEG(JCSEG),NOIL)=
> DPR(NRSEG(JCSEG),NOIL)+ STAYIN(JL)*DSCEND
DSCEND= DSCEND*GOSOUT(JL)
350 CONTINUE
* PIS CALCULATION
DO 361 JL = 1, NCOR
ISD=NRSEG(JL)
ISF=NRSEG(NSLINE-NCOR+JL)
DPR(ISD,NOIL)= DPR(ISD,NOIL)+DSCBEG*STAYIN(IL)
DPR(ISF,NOIL)= DPR(ISF,NOIL)+DSCEND*ZCOR
361 CONTINUE
DSCBEG= DSCBEG * GOSOUT(IL)
360 CONTINUE
* PSS CALCULATION
DO 370 IL = 1, NCOR
ISD=NRSEG(IL)
DO 365 JL = 1, NCOR
ISF=NRSEG(NSLINE-NCOR+JL)
DPR(ISD,ISF)= DPR(ISD,ISF) + PRODUC
365 CONTINUE
370 CONTINUE
ENDIF
ENDIF
RETURN
END
|
