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
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
|
*DECK SYB7T0
SUBROUTINE SYB7T0(MNA,NRD,COTE,RAYONS,JMINR,XCOTE,LFAIRE,DELR,
1 IQW,PWA2,ZWA2,NXMIN,NXMAX,NZR,ZZR,NZI,ZZI)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the tracking information related to an hexagonal sectorized
* heterogeneous cell.
*
*Copyright:
* Copyright (C) 2002 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): A. Hebert
*
*Parameters: input
* MNA number of angles in (0,$\\pi$/6).
* NRD one plus the number of tubes in the cell.
* COTE length of the hexagon side.
* RAYONS radius of each cylinder.
* JMINR first interception with side.
* XCOTE interceptions with side.
* LFAIRE tracking calculation flag (=.FALSE. only compute the number
* of real and integer tracking elements).
* DELR half distance between the tracks.
* IQW equal weight quadrature flag (=1 to use equal weight
* quadratures in angle and space).
* PWA2 weights of the angular quadrature set.
* ZWA2 base points of the angular quadrature set.
*
*Parameters: output
* NXMIN minimum number of tracks per region.
* NXMAX maximum number of tracks per region.
* NZR number of real tracking elements.
* ZZR real tracking information.
* NZI number of integer tracking elements.
* ZZI integer tracking information.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MNA,NRD,JMINR,IQW,NXMIN,NXMAX,NZR,NZI,ZZI(*)
REAL COTE,RAYONS(NRD-1),XCOTE(NRD),DELR,PWA2(64),
& ZWA2(64),ZZR(*)
LOGICAL LFAIRE
*----
* LOCAL VARIABLES
*----
PARAMETER (PI314 = 3.141592653589793)
PARAMETER (PI6 = PI314 / 6)
PARAMETER (PI12 = PI314 / 12)
PARAMETER (SQRT3 = 1.732050807568877)
PARAMETER (SQRT32 = SQRT3 / 2)
REAL ANGLES(5)
REAL COSECT(3)
LOGICAL LGTRAE
LOGICAL LGTRAW
LOGICAL LVERIF
LOGICAL NTRIOR
REAL ORIGIN(4)
REAL PENTES(4)
CHARACTER * 4 TYSUIT
REAL WX(64)
REAL ZX(64)
INTEGER, ALLOCATABLE, DIMENSION(:) :: IXRAYO
REAL, ALLOCATABLE, DIMENSION(:) :: HXRAYO
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IXRAYO(NRD*2+3),HXRAYO(NRD*2+3))
*----
* Interpolation des Trajectoires
*----
IZI = 0
IZR = 0
LVERIF = .FALSE.
DELR2 = DELR * 2.
HAUTEU = COTE * SQRT32
*----
* /Debut/ Boucle sur les Angles
*----
DO 350 IA = 1, MNA
MNT = 0
IZI = IZI + 1
IZIT = IZI
*
WANGIA = PWA2(IA)
ZAIA = ZWA2(IA) + 1.
YAIA = 1. - ZWA2(IA)
WANGIA = WANGIA / 6.
*
PHI = PI12 * ZAIA
PHI6 = PI12 * YAIA
PHI3 = PHI + PI6
COSPHI = COS(PHI)
SINPHI = SIN(PHI)
COSPH3 = COS(PHI3)
SINPH3 = SIN(PHI3)
COSPH6 = COS(PHI6)
SINPH6 = SIN(PHI6)
TANPH6 = TAN(PHI6)
IF(LFAIRE) THEN
ZZR(IZR+1) = COSPH6
ZZR(IZR+2) = SINPH6
ZZR(IZR+3) = SINPHI
ZZR(IZR+4) = COSPHI
ZZR(IZR+5) = COSPH3
ZZR(IZR+6) = -SINPH3
ZZR(IZR+7) = WANGIA
ENDIF
IZR = IZR + 7
ANGLES(1) = COSPHI
ANGLES(2) = SINPHI
ANGLES(3) = - TAN(PHI3)
ANGLES(4) = TANPH6
ANGLES(5) = COSPHI / SINPHI
*
PENTES(1) = TANPH6
PENTES(2) = ANGLES(5)
PENTES(3) = - TAN(PHI3)
PENTES(4) = PENTES(1)
ORIGIN(1) = - HAUTEU / COS(PHI6)
ORIGIN(2) = - HAUTEU / SINPHI
ORIGIN(3) = HAUTEU / COS(PHI3)
ORIGIN(4) = - ORIGIN(1)
*
COSECT(1) = COS(PHI3)
COSECT(2) = COS(PHI6)
COSECT(3) = SINPHI
*----
* Rayon Max Pour cet angle(Rext)
*----
XIZERO = HAUTEU * TANPH6
DO MRA = JMINR, NRD-1
IF(XCOTE(MRA) .GE. XIZERO) GOTO 140
ENDDO
MRA = NRD
140 MRAE = MRA
MRAW = MRA
*----
* Les Lignes d'integrations sont limites
* et par les secteurs
* et par les couronnes
*
* Demarrage au centre de l'hexagone
*----
IHMAX = NRD - MRA
IHMIN = IHMAX + 1
HXRAYO(IHMIN) = ORIGIN(1)
DO IR = MRAW, 2, -1
IHMAX = IHMAX + 1
IXRAYO(IHMAX) = IR
HXRAYO(IHMAX+1) = - RAYONS(IR-1)
ENDDO
DO IS = 1, 3
IXRAYO(IHMAX+IS) = 1
HXRAYO(IHMAX+IS+1) = 0.
ENDDO
IHMAX = IHMAX + 3
HXRAYO(IHMAX+1) = 0.
DO IR = 1, MRAE-1
IHMAX = IHMAX + 1
IXRAYO(IHMAX) = IR
HXRAYO(IHMAX+1) = RAYONS(IR)
ENDDO
IHMAX = IHMAX + 1
IXRAYO(IHMAX) = MRAE
HXRAYO(IHMAX+1) = ORIGIN(4)
*
DELTCW = COTE * COSECT(1)
DELTAS = COTE * COSECT(2)
DELTCE = COTE * COSECT(3)
ORIPHI = HAUTEU * COSPHI
ORIPH6 = HAUTEU * SINPH6
ORIPH3 = HAUTEU * SINPH3
*
ISW2 = 2
CALL SYB7TW(NRD, JMINR, XCOTE, IXRAYO(IHMIN),
& DELTCW, DELTAS, ORIPH6, ORIPHI,
& COSPH6, SINPHI,
& ISW2, LGTRAW, DELTAW)
ISW = ISW2 / 2
*
ISE2 = 8
CALL SYB7TE(NRD, JMINR, XCOTE, IXRAYO(IHMAX),
& DELTCE, DELTAS, ORIPH6, ORIPH3,
& COSPH6, COSPH3,
& ISE2, LGTRAE, DELTAE)
*
DELTAC = 0.
NTRIOR = .TRUE.
IRSUIT = 0
*----
* /Debut/ Boucle sur les Trajectoires
*----
DO WHILE(NTRIOR)
NHMAX = IHMAX + 1 - IHMIN
DELTAP = DELTAC
*
TYSUIT = 'Sud'
IHSUIT = IHMIN
DELTAC = DELTAS
IF(DELTAW .LT. DELTAC) THEN
TYSUIT = 'West'
IHSUIT = IHMIN
DELTAC = DELTAW
ENDIF
IF(DELTAE .LT. DELTAC) THEN
TYSUIT = 'Est'
IHSUIT = IHMAX
DELTAC = DELTAE
ENDIF
CALL SYB7TN(IHMIN, IHMAX, IXRAYO, ISW,
& COSECT, NRD-1, RAYONS,
& TYSUIT, IHSUIT, DELTAC, IRSUIT)
*
DELTAX = DELTAC - DELTAP
IF(DELTAX .LE. DELR2) THEN
NX = 1
ZX(1) = 0.0
WX(1) = 2.0
ELSE
NX = INT(DELTAX / DELR2 + 1)
IF(IQW.EQ.0) THEN
* GAUSS-LEGENDRE INTEGRATION POINTS. ZX(I) IS NOT USED.
IF(NX.GT.20) THEN
IF(NX.LT.24) THEN
NX=24
ELSE IF(NX.LT.28) THEN
NX=28
ELSE IF(NX.LT.32) THEN
NX=32
ELSE IF(NX.LT.64) THEN
NX=64
ELSE IF(NX.GT.64) THEN
CALL XABORT('SYB7T0: GAUSS OVERFLOW.')
ENDIF
ENDIF
CALL ALGPT(NX,-1.0,1.0,ZX,WX)
ELSE
* EQUAL WEIGHT INTEGRATION POINTS.
DO 30 I=1,NX
ZX(I)=(2.0*REAL(I)-1.0)/REAL(NX)-1.0
WX(I)=2.0/REAL(NX)
30 CONTINUE
ENDIF
ENDIF
NXMIN = MIN(NX, NXMIN)
NXMAX = MAX(NX, NXMAX)
*
MNT = MNT + 1
IF(LFAIRE) THEN
ZZI(IZI+1) = NHMAX
ZZI(IZI+2) = NX
DO I=0,NHMAX-1
ZZI(IZI+3+I)=IXRAYO(IHMIN+I)
ENDDO
*
DELTAR = DELTAP
DO 250 IX = 1, NX
*
WW = 0.5 * WX(IX)
*
IZR = IZR + 1
ZZR(IZR) = WW * WANGIA * DELTAX
DDELTA = DELTAX * WW
DELTAR = DELTAR + DDELTA
*
* Position de L'intersection Gauche(West)
ZZW = DELTAR * PENTES(ISW) + ORIGIN(ISW)
*
* Position de L'intersection Droite(Est)
ISE = ISE2 / 2
ZZE = DELTAR * PENTES(ISE) + ORIGIN(ISE)
*----
* Longueur des intersections
*----
CALL SYB7TC(DELTAR, DDELTA, ANGLES(ISW+2), NHMAX, ZZI(IZI+3),
& NRD-1, RAYONS, ZZW, ZZE,
& ZZR(IZR+1), HXRAYO(IHMIN))
IZR = IZR + NHMAX
*
250 CONTINUE
ELSE
*----
* Pour le comptage il faudra compter
* pour plus tard (les douzes symetries)
* deux indices de plus pour les surfaces Entrante et Sortante
*----
IZR = IZR +(NHMAX + 1) * NX
IZI = IZI + 2
ENDIF
*
IZI = IZI + NHMAX + 2
*
IF(TYSUIT .EQ. 'Est') THEN
IRC = IXRAYO(IHMAX)
IF(LGTRAE) THEN
IHMAX = IHMAX - 1
IF(IRC .EQ. IXRAYO(IHMAX)) ISE2 = ISE2 - 1
ELSEIF(IRC .GE. NRD) THEN
NTRIOR = .FALSE.
ELSE
IHMAX = IHMAX + 1
IXRAYO(IHMAX) = IRC + 1
HXRAYO(IHMAX+1) = HXRAYO(IHMAX)
ENDIF
IF(NTRIOR) THEN
CALL SYB7TE(NRD, JMINR, XCOTE, IXRAYO(IHMAX),
& DELTCE, DELTAS, ORIPH6, ORIPH3,
& COSPH6, COSPH3,
& ISE2, LGTRAE, DELTAE)
ENDIF
ELSEIF(TYSUIT .EQ. 'West') THEN
IRC = IXRAYO(IHMIN)
IF(LGTRAW) THEN
IHMIN = IHMIN + 1
IF(IRC .EQ. IXRAYO(IHMIN)) ISW2 = ISW2 + 1
ELSEIF(IRC .GE. NRD) THEN
NTRIOR = .FALSE.
ELSE
IHMIN = IHMIN - 1
IXRAYO(IHMIN) = IRC + 1
HXRAYO(IHMIN) = HXRAYO(IHMIN+1)
ENDIF
NTRIOR = ISW .LE. 2
IF(NTRIOR) THEN
CALL SYB7TW(NRD, JMINR, XCOTE, IXRAYO(IHMIN),
& DELTCW, DELTAS, ORIPH6, ORIPHI,
& COSPH6, SINPHI,
& ISW2, LGTRAW, DELTAW)
IF((ISW2 / 2) .NE. ISW) THEN
IF(LFAIRE) THEN
ZZI(IZI+1) = 0
ZZI(IZI+2) = 0
MNT = MNT + 1
ENDIF
IZI = IZI+2
ENDIF
ISW = ISW2 / 2
IF(ISW2 .EQ. 5) THEN
IF(LGTRAW) THEN
HC = DELTAW * PENTES(ISW) + ORIGIN(ISW)
LGTRAW = HC .GE. 0.
ENDIF
ENDIF
ENDIF
ELSEIF(TYSUIT .EQ. 'Coin') THEN
IXRAYO(IHSUIT) = IRSUIT
ELSEIF(TYSUIT .EQ. 'Tang') THEN
*
** Decalage du tableau entier de 2 Cases
DO I = 2, IHMAX - IHSUIT
IXRAYO(IHSUIT+I-2) = IXRAYO(IHSUIT+I)
ENDDO
*
** Decalage du tableau reel de 2 Cases
DO I = 2, IHMAX + 1 - IHSUIT
HXRAYO(IHSUIT+I-2) = HXRAYO(IHSUIT+I)
ENDDO
*
IHMAX = IHMAX - 2
ELSE
NTRIOR = .FALSE.
ENDIF
*
* /Fin/ Boucle sur les Trajectoires
ENDDO
*
* /Fin/ Boucle sur les Angles
IF(LFAIRE) ZZI(IZIT) = MNT
350 CONTINUE
NZI = IZI
NZR = IZR
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(HXRAYO,IXRAYO)
*
RETURN
END
|