summaryrefslogtreecommitdiff
path: root/Dragon/src/NXTLCY.f
blob: a9f601858f4bf59b55a405e65741a9989a5a555f (plain)
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
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
*DECK NXTLCY
      FUNCTION NXTLCY(IPRINT,ITST  ,NDIM  ,MXMESH,LINMAX,
     >                MESH  ,ORITRK,DIRTRK,DCMESH,IDIRC ,
     >                NBCOR ,NBSINT,ISINT ,TRKLSI)
*
*----------
*
*Purpose:
* To track an annular 2-D or 3-D geometry
* using the NXT tracking procedure.
*
*Copyright:
* Copyright (C) 2005 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): G. Marleau.
*
*Parameters: input
* IPRINT  print level.
* ITST    type of tracking, where:
*         =-1   only the exact geometry
*               is considered taking into account the
*               submesh in each direction;
*         = 0   only the global geometry
*               is considered without taking into account the
*               submesh in each direction;
*         = 1   both the global
*               geometry (as a first step) and the exact geometry
*               are considered taking into account the
*               submesh in each direction.
* NDIM    dimension of problem.
* MXMESH  maximum number of spatial subdivision in
*         $R$ and $X$, $Y$ or $Z$.
* LINMAX  maximum number of segments in a track.
* MESH    effective number of spatial subdivision in $X$
*         $Y$, $Z$ and $R$.
* ORITRK  a point on the track (origin).
* DIRTRK  the track direction (director cosines).
* DCMESH  spatial description of the cylinder.
* IDIRC   the direction of the cylinder axis.
*
*Parameters: output
* NXTLCY  number of surfaces intersected.
* NBCOR   number of corner found for each external faces.
* NBSINT  number of surface crossed by track.
* ISINT   the surfaces crossed by the track.
* TRKLSI  the surface intersection distance.
*
*Reference:
*  G. Marleau,
*  New Geometries Processing in DRAGON: The NXT: Module,
*  Report IGE-260, Polytechnique Montreal,
*  Montreal, 2005.
*
*----------
*
      IMPLICIT         NONE
*----
*  Subroutine arguments
*----
      INTEGER          IPRINT,ITST,NDIM,MXMESH,LINMAX
      INTEGER          MESH(5)
      DOUBLE PRECISION ORITRK(NDIM),
     >                 DIRTRK(NDIM),
     >                 DCMESH(-1:MXMESH,5)
      INTEGER          IDIRC
      INTEGER          NBCOR(2),NBSINT
      INTEGER          ISINT(0:5,LINMAX)
      DOUBLE PRECISION TRKLSI(LINMAX)
      INTEGER          NXTLCY
*----
*  Local parameters
*----
      INTEGER          IOUT
      CHARACTER        NAMSBR*6
      PARAMETER       (IOUT=6,NAMSBR='NXTLCY')
      INTEGER          MXDIM
      PARAMETER       (MXDIM=3)
      DOUBLE PRECISION DZERO,DONE,DTWO
      PARAMETER       (DZERO=0.0D0,DONE=1.0D0,DTWO=2.0D0)
      DOUBLE PRECISION DCUTOL
      PARAMETER       (DCUTOL=1.0D-11)
*----
*  Local variables
*----
      INTEGER          IDIR,INDIR,INEXT,IFRST,ILAST,IFACE,
     >                 IDGR,IDG1,IDG2,IDGP,NR,NP
      INTEGER          JFACE,JSUR,KNEXT,KSFRST,KSLAST,
     >                 KVFRST,KVLAST,KFACE,KSUR,KSUB
      INTEGER          IC1,IDIRS,IDIRF,IDIRB,IRFIN,IDIRFS
      DOUBLE PRECISION DP1,DP2,TRKK
      DOUBLE PRECISION TRKDIS,TRKOLD,TRKTMP
      DOUBLE PRECISION TORI(MXDIM),ROTANG(MXDIM)
      DOUBLE PRECISION XYCEN(2),RADIUS,CYLLIM(2),PROJ,PROJN,
     >                 YLOC,XORI,XLOC(2),CYLINT,TCINTD,XXINTD
      DOUBLE PRECISION DCUTOF
*----
*  Data
*----
      CHARACTER        CDIR(4)*1
      SAVE             CDIR
      DATA             CDIR /'X','Y','Z','R'/
*----
*  Verify ITST option and reset to default value if invalid
*----
      IF(ITST .LT. -1 .OR. ITST .GT. 1) THEN
*----
*  Reset ITST=1 (complete analysis) if the value of ITST is invalid
*----
        ITST=1
      ENDIF
*----
*  Initialise output vectors
*----
      KSFRST=1
      KSLAST=1
      KVFRST=1
      KVLAST=1
      KNEXT=1
      KSUB=1
      TRKOLD=DZERO
      NBCOR(1)=0
      NBCOR(2)=0
      NBSINT=0
      ISINT(0:5,:LINMAX)=0
      TRKLSI(:LINMAX)=DZERO
*----
*  IDG1 is first direction of plane perpendicular
*       to main direction ($Y, $Z$ or $X$).
*  IDG2 is second direction of plane perpendicular
*       to main direction ($Z$, $X$ or $Y$).
*  IDGP is main cylinder direction ($X$, $Y$ or $Z$)
*       for 2D case IDGP=3
*----
      IDGR=4
      IDGP=IDIRC
      IDG1=MOD(IDGP,3)+1
      IDG2=MOD(IDGP+1,3)+1
      NR=MESH(4)
      NP=MESH(IDGP)
*----
*  Print header if required
*----
      IF(IPRINT .GT. 1000) THEN
        WRITE(IOUT,6000) NAMSBR
        WRITE(IOUT,6011) 'radial'//CDIR(IDG1)//CDIR(IDG2)//
     >  '={          '
        WRITE(IOUT,6012)  (DCMESH(IC1,IDGR),IC1=1,NR)
        WRITE(IOUT,6013)
        WRITE(IOUT,6011) 'center'//CDIR(IDG1)//CDIR(IDG2)//
     >  '={          '
        WRITE(IOUT,6012)  DCMESH(-1,IDG1),DCMESH(-1,IDG2)
        WRITE(IOUT,6013)
        IF(NDIM .EQ. 3) THEN
          WRITE(IOUT,6011) 'axial'//CDIR(IDGP)//'={            '
          WRITE(IOUT,6012)  (DCMESH(IC1,IDGP),IC1=0,NP)
          WRITE(IOUT,6013)
        ENDIF
        WRITE(IOUT,6011) 'trackorigin={       '
        WRITE(IOUT,6012) ORITRK
        WRITE(IOUT,6013)
        WRITE(IOUT,6011) 'trackdirection={    '
        WRITE(IOUT,6012) DIRTRK
        WRITE(IOUT,6013)
      ENDIF
*----
*  Select planes order in direction IDIR
*----
      IFRST=NR+1
      INEXT=-1
      ILAST=2
*----
*  Select planes order in direction KDIR (if required)
*----
      DCUTOF=DCUTOL*DCUTOL
      IF(NDIM .EQ. 3) THEN
        DCUTOF=DCUTOF*DCUTOL
        IF(DIRTRK(IDGP) .LT. 0) THEN
          KNEXT=-1
          KSFRST=NP+1
          KSLAST=1
          KVFRST=NP+1
          KVLAST=2
          KSUB=-1
        ELSE
          KNEXT=1
          KSFRST=1
          KSLAST=NP+1
          KVFRST=1
          KVLAST=NP
          KSUB=0
        ENDIF
      ENDIF
*----
*  Projection on 2-D plane
*  and translation to origin of circle
*----
      XYCEN(1)=DCMESH(-1,IDG1)
      XYCEN(2)=DCMESH(-1,IDG2)
      TORI(1)=ORITRK(IDG1)
      TORI(2)=ORITRK(IDG2)
      IF(NDIM .EQ. 3) THEN
        TORI(3)=ORITRK(IDGP)
        ROTANG(3)=DIRTRK(IDGP)
      ELSE
        ROTANG(3)=DZERO
        TORI(3)=DZERO
      ENDIF
      PROJ=DONE/SQRT(DONE-ROTANG(3)**2)
      ROTANG(1)=DIRTRK(IDG1)*PROJ
      ROTANG(2)=DIRTRK(IDG2)*PROJ
      PROJN=DONE/SQRT(ROTANG(1)*ROTANG(1)+ROTANG(2)*ROTANG(2))
      ROTANG(1)=ROTANG(1)*PROJN
      ROTANG(2)=ROTANG(2)*PROJN
*----
*  Translate (x,y) coordinates to circle center and
*  rotate y coordinate in such a way that tracking
*  line parallel to the x-axis
*----
      XORI= (TORI(1)-XYCEN(1))*ROTANG(1)
     >     +(TORI(2)-XYCEN(2))*ROTANG(2)
      YLOC=-(TORI(1)-XYCEN(1))*ROTANG(2)
     >     +(TORI(2)-XYCEN(2))*ROTANG(1)
*      IF(IPRINT .GT. 1000) THEN
*        write(6,*) 'XYCEN =',XYCEN
*        write(6,*) 'TORI  =',TORI
*        write(6,*) 'ROTANG=',ROTANG
*        write(6,*) 'RotOri=',XORI,YLOC
*      ENDIF
*----
*  For option ITST=0, 1, consider global geometry
*  and test if line crosses this geometry.
*----
      IF(ITST .EQ. 0 .OR. ITST .EQ. 1) THEN
        NBSINT=0
        RADIUS=DCMESH(NR,IDGR)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'YLOC, RADIUS=',YLOC,RADIUS
        IF(NDIM .EQ. 3) THEN
          CYLLIM(1)=DCMESH(0,IDGP)
          CYLLIM(2)=DCMESH(NP,IDGP)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*)'CYLLIM ',CYLLIM
        ENDIF
*----
*  Test if coordinate is inside circle.
*----
        IF(ABS(YLOC) .LT. RADIUS) THEN
*----
*  Line crosses circle (infinite cylinder)
*----
          XLOC(2)=SQRT(RADIUS**2-YLOC**2)
          XLOC(1)=-XLOC(2)
          IF(NDIM .EQ. 3) THEN
*----
*  Find intersection points for finite cylinders in 3D
*----
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'XLOC ',XLOC(1),XLOC(2)
              DO 100 IFACE=1,2
              TCINTD=YLOC*ROTANG(1)+
     >               XLOC(IFACE)*ROTANG(2)+XYCEN(2)-TORI(2)
              XXINTD=XLOC(IFACE)*ROTANG(1)-
     >               YLOC*ROTANG(2)+XYCEN(1)-TORI(1)
              TRKTMP=(TCINTD*PROJ)/ROTANG(2)
              TRKDIS=SQRT(XXINTD*XXINTD+TCINTD*TCINTD)*PROJ
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'Changedir=',TRKDIS,TCINTD,ROTANG(2)
              IF(ROTANG(2)*TCINTD .LT. DZERO) TRKDIS=-TRKDIS
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'TRKDIS=',TRKDIS,TRKTMP,ROTANG(2)
              CYLINT=TRKDIS*ROTANG(3)+TORI(3)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'CYLINT= ',CYLINT
              IF(CYLINT .GE. CYLLIM(1) .AND. CYLINT .LE. CYLLIM(2)) THEN
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'iface r ',IFACE
                IF(NBSINT .EQ. 0) THEN
                  NBSINT=1
                  TRKOLD=TRKDIS
                ELSE IF(TRKOLD .NE. TRKDIS) THEN
                  NBSINT=2
                  GO TO 105
                ENDIF
              ENDIF
 100        CONTINUE
          ELSE
            NBSINT=2
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'Intersected in 2D'
            GO TO 105
          ENDIF
        ENDIF
*----
*  For 3-D geometry look for intersection with bottom
*  and top of cylinder
*----
        IF(NDIM .EQ. 3) THEN
          DO 102 IFACE=1,2
            TRKDIS=(CYLLIM(IFACE)-TORI(3))/ROTANG(3)
            XLOC(1)=TORI(1)+TRKDIS*ROTANG(1)/PROJ-XYCEN(1)
            XLOC(2)=TORI(2)+TRKDIS*ROTANG(2)/PROJ-XYCEN(2)
            TCINTD=SQRT(XLOC(1)**2+XLOC(2)**2)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'dir 3 int ', XLOC(1),XLOC(2),TRKDIS
            IF(TCINTD .LT. RADIUS) THEN
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'iface z ',IFACE
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) TORI(1)+TRKDIS*ROTANG(1)/PROJ,
*     >                 TORI(2)+TRKDIS*ROTANG(2)/PROJ,
*     >                 TORI(3)+TRKDIS*ROTANG(3)
              IF(NBSINT .EQ. 0) THEN
                NBSINT=1
                TRKOLD=TRKDIS
              ELSE IF(TRKOLD .NE. TRKDIS) THEN
                NBSINT=2
                GO TO 105
              ENDIF
            ENDIF
 102      CONTINUE
        ENDIF
 105    CONTINUE
      ELSE
*----
*  If ITST=-1, assume that 2 surface are intersected
*  and continue
*----
        NBSINT=2
      ENDIF
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'Nb sur=',NBSINT
      NXTLCY=NBSINT
*----
*  If line does not intersect any surfaces, exit
*----
      IF(NXTLCY .EQ. 0) THEN
        IF(IPRINT .GT. 1000) THEN
          WRITE(IOUT,6002) NAMSBR
        ENDIF
        RETURN
      ENDIF
*----
*  If line does not intersect 2 surfaces, abort
*----
      IF(NBSINT .NE. 2) CALL XABORT(NAMSBR//
     >': Invalid line since it did not intersect 0 or 2 surfaces')
*----
*  If ITST=0, return number of surfaces intersected by line
*----
      IF(ITST .EQ. 0) RETURN
*----
*  If ITST=1 or -1
*  track geometry with submesh
*----
      NBSINT=0
*----
*  Loop over radial regions from maximal radius
*  from outer to inner
*----
      DO 110 IFACE=IFRST,ILAST,INEXT
        RADIUS=DCMESH(IFACE-1,IDGR)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'YLOC, RADIUS=',YLOC,RADIUS
        IF(ABS(YLOC) .LE. RADIUS) THEN
          XLOC(2)=SQRT(RADIUS**2-YLOC**2)
          XLOC(1)=-XLOC(2)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'XLOC',XLOC
*----
*  Scan over two possible cylinder intersections
*----
          INDIR=1
          DO 111 JFACE=1,2
            TCINTD=YLOC*ROTANG(1)+XLOC(JFACE)*ROTANG(2)+XYCEN(2)-TORI(2)
            XXINTD=XLOC(JFACE)*ROTANG(1)-YLOC*ROTANG(2)+XYCEN(1)-TORI(1)
            TRKDIS=SQRT(XXINTD*XXINTD+TCINTD*TCINTD)*PROJ
*      IF(IPRINT .GT. 1000)
*     >  TRKTMP=(TCINTD*PROJ)/ROTANG(2)
            IF(ROTANG(2)*TCINTD .LT. -DCUTOF) TRKDIS=-TRKDIS
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'Distances',XXINTD,TCINTD,ROTANG(2),TRKDIS,TRKTMP
            IF(NDIM .EQ. 3) THEN
*----
*  Scan over planes in axial cylinder direction
*----
              TRKK=DBLE(KNEXT)*(TRKDIS*ROTANG(3)+TORI(3))
              DO 112 KFACE=KVFRST,KVLAST,KNEXT
                DP1=DBLE(KNEXT)*DCMESH(KFACE-1,IDGP)
                DP2=DBLE(KNEXT)*DCMESH(KFACE-1+KNEXT,IDGP)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'DP1,DP2 ',DP1,DP2,TRKK
                IF(TRKK .GE. DP1 .AND.
     >             TRKK .LE. DP2 ) THEN
                  NBSINT=NBSINT+1
                  IF(IPRINT .GT. 1000) THEN
                    WRITE(IOUT,6011) 'Intersection at     '
                      WRITE(IOUT,6014) IFACE,JFACE,KFACE
                      WRITE(IOUT,6015) TRKDIS
                  ENDIF
                  IF(NBSINT .EQ. 1) THEN
                    ISINT(0,NBSINT)=(IDG1+3)*INDIR
                    ISINT(IDGR,NBSINT)=IFACE-1
                    ISINT(IDGP,NBSINT)=KFACE+KSUB
                    TRKLSI(NBSINT)=TRKDIS
                  ELSE
*----
*  Scan previous distances and reorder if necessary
*----
                    DO 120 JSUR=NBSINT-1,1,-1
                      IF(TRKDIS .GE. TRKLSI(JSUR)) THEN
*----
*  For more than one intersection at a given distance:
*  a) if this is an external surface, store the distance
*     for corner duplication
*  b) if this is an internal surface select adequate next region
*     to cross and reset NBSINT=NBSINT-1
*----
                        IF(TRKDIS .EQ. TRKLSI(JSUR) .AND.
     >                     IFACE .NE. IFRST             ) THEN
                          ISINT(IDGR,JSUR)=IFACE-1
                          ISINT(IDGP,JSUR)=KFACE+KSUB
                          NBSINT=NBSINT-1
                          GO TO 125
                        ENDIF
                        DO 121 KSUR=NBSINT,JSUR+2,-1
                          ISINT(0,KSUR)=ISINT(0,KSUR-1)
                          ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                          ISINT(IDGP,KSUR)=ISINT(IDGP,KSUR-1)
                          TRKLSI(KSUR)=TRKLSI(KSUR-1)
 121                    CONTINUE
                        ISINT(0,JSUR+1)=(IDG1+3)*INDIR
                        ISINT(IDGR,JSUR+1)=IFACE-1
                        ISINT(IDGP,JSUR+1)=KFACE+KSUB
                        TRKLSI(JSUR+1)=TRKDIS
                        GO TO 125
                      ENDIF
 120                CONTINUE
                    DO 122 KSUR=NBSINT,2,-1
                      ISINT(0,KSUR)=ISINT(0,KSUR-1)
                      ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                      ISINT(IDGP,KSUR)=ISINT(IDGP,KSUR-1)
                      TRKLSI(KSUR)=TRKLSI(KSUR-1)
 122                CONTINUE
                    ISINT(0,1)=(IDG1+3)*INDIR
                    ISINT(IDGR,1)=IFACE-1
                    ISINT(IDGP,1)=KFACE+KSUB
                    TRKLSI(1)=TRKDIS
 125                CONTINUE
                  ENDIF
                ENDIF
 112          CONTINUE
            ELSE
*----
*  For 2-D, intersection with a circle
*----
              NBSINT=NBSINT+1
              IF(IPRINT .GT. 1000) THEN
                WRITE(IOUT,6011) 'Intersection at     '
                WRITE(IOUT,6014) IFACE,JFACE
                WRITE(IOUT,6015) TRKDIS
              ENDIF
              IF(NBSINT .EQ. 1) THEN
                ISINT(0,NBSINT)=(IDG1+3)*INDIR
                ISINT(IDGR,NBSINT)=IFACE-1
                TRKLSI(NBSINT)=TRKDIS
              ELSE
*----
*  Scan previous distances and reorder if necessary
*----
                DO 130 JSUR=NBSINT-1,1,-1
                  IF(TRKDIS .GE. TRKLSI(JSUR)) THEN
*----
*  For more than one intersection at a given distance:
*  a) if this is an external surface, store the distance
*     for corner duplication
*  b) if this is an internal surface select adequate next region
*     to cross and reset NBSINT=NBSINT-1
*----
                    IF(TRKDIS .EQ. TRKLSI(JSUR) .AND.
     >                 IFACE .NE. IFRST              ) THEN
                      ISINT(IDGR,JSUR)=IFACE-1
                      NBSINT=NBSINT-1
                      GO TO 135
                    ENDIF
                    DO 131 KSUR=NBSINT,JSUR+2,-1
                      ISINT(0,KSUR)=ISINT(0,KSUR-1)
                      ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                      TRKLSI(KSUR)=TRKLSI(KSUR-1)
 131                CONTINUE
                    ISINT(0,JSUR+1)=(IDG1+3)*INDIR
                    ISINT(IDGR,JSUR+1)=IFACE-1
                    TRKLSI(JSUR+1)=TRKDIS
                    GO TO 135
                  ENDIF
 130            CONTINUE
                DO 132 KSUR=NBSINT,2,-1
                  ISINT(0,KSUR)=ISINT(0,KSUR-1)
                  ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                  TRKLSI(KSUR)=TRKLSI(KSUR-1)
 132            CONTINUE
                ISINT(0,1)=(IDG1+3)*INDIR
                ISINT(IDGR,1)=IFACE-1
                TRKLSI(1)=TRKDIS
 135            CONTINUE
              ENDIF
            ENDIF
            INDIR=-1
 111      CONTINUE
        ENDIF
 110  CONTINUE
      IF(NDIM .EQ. 3) THEN
*----
*  Loop over axial regions from Top to bottom or
*  vice versa
*----
        DO 140 KFACE=KSFRST,KSLAST,KNEXT
          TRKDIS=(DCMESH(KFACE-1,IDGP)-TORI(3))/ROTANG(3)
          DP1=TORI(1)+TRKDIS*ROTANG(1)/PROJ-XYCEN(1)
          DP2=TORI(2)+TRKDIS*ROTANG(2)/PROJ-XYCEN(2)
          TCINTD=SQRT(DP1**2+DP2**2)
*----
*  Loop over radial regions from inner to outer
*----
          DO 141 IFACE=ILAST,IFRST,-INEXT
            RADIUS=DCMESH(IFACE-1,IDGR)
*      IF(IPRINT .GT. 1000)
*     >  write(6,*) 'zz= ',DP1,DP2,TCINTD,RADIUS
            IF(TCINTD .LE. RADIUS) THEN
              IF(IPRINT .GT. 1000) THEN
                WRITE(IOUT,6011) 'Intersection at     '
                WRITE(IOUT,6014) KFACE,IFACE
                WRITE(IOUT,6015) TRKDIS
              ENDIF
              NBSINT=NBSINT+1
              IF(NBSINT .EQ. 1) THEN
                ISINT(0,NBSINT)=IDGP
                ISINT(IDGR,NBSINT)=IFACE-1
                ISINT(IDGP,NBSINT)=KFACE
                TRKLSI(NBSINT)=TRKDIS
              ELSE
*----
*  Scan previous distances and reorder if necessary
*----
                DO 150 JSUR=NBSINT-1,1,-1
                  IF(TRKDIS .GE. TRKLSI(JSUR)) THEN
*----
*  For more than one intersection at a given distance:
*  a) if this is an external surface, store the distance
*     for corner duplication
*  b) if this is an internal surface select adequate next region
*     to cross and reset NBSINT=NBSINT-1
*----
                    IF(TRKDIS .EQ. TRKLSI(JSUR) .AND.
     >                 KFACE .NE. KSFRST         .AND.
     >                 KFACE .NE. KSLAST              ) THEN
                      ISINT(IDGR,JSUR)=IFACE-1
                      ISINT(IDGP,JSUR)=KFACE
                      NBSINT=NBSINT-1
                      GO TO 155
                    ENDIF
                    DO 151 KSUR=NBSINT,JSUR+2,-1
                      ISINT(0,KSUR)=ISINT(0,KSUR-1)
                      ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                      ISINT(IDGP,KSUR)=ISINT(IDGP,KSUR-1)
                      TRKLSI(KSUR)=TRKLSI(KSUR-1)
 151                CONTINUE
                    ISINT(0,JSUR+1)=IDGP
                    ISINT(IDGR,JSUR+1)=IFACE-1
                    ISINT(IDGP,JSUR+1)=KFACE
                    TRKLSI(JSUR+1)=TRKDIS
                    GO TO 155
                  ENDIF
 150            CONTINUE
                DO 152 KSUR=NBSINT,2,-1
                  ISINT(0,KSUR)=ISINT(0,KSUR-1)
                  ISINT(IDGR,KSUR)=ISINT(IDGR,KSUR-1)
                  ISINT(IDGP,KSUR)=ISINT(IDGP,KSUR-1)
                  TRKLSI(KSUR)=TRKLSI(KSUR-1)
 152            CONTINUE
                ISINT(0,1)=IDGP
                ISINT(IDGR,1)=IFACE-1
                ISINT(IDGP,1)=KFACE
                TRKLSI(1)=TRKDIS
 155            CONTINUE
              ENDIF
              GO TO 145
            ENDIF
 141      CONTINUE
 145      CONTINUE
 140    CONTINUE
      ENDIF
      IF(NBSINT .GE. 2) THEN
*----
*  Find number of corners for initial surface intersections
*----
        TRKDIS=TRKLSI(1)
        NBCOR(1)=1
        DO 160 JSUR=2,NBSINT
          IF(TRKLSI(JSUR) .GT. TRKDIS) GO TO 165
          NBCOR(1)=NBCOR(1)+1
 160    CONTINUE
 165    CONTINUE
*----
*  Find number of corners for final surface intersections
*----
        TRKDIS=TRKLSI(NBSINT)
        NBCOR(2)=1
        DO 170 JSUR=NBSINT-1,1,-1
          IF(TRKLSI(JSUR) .LT. TRKDIS) GO TO 175
          NBCOR(2)=NBCOR(2)+1
 170    CONTINUE
 175    CONTINUE
      ENDIF
*----
*  Print intersection points
*----
      IF(IPRINT .GT. 1000) THEN
        WRITE(IOUT,6011) 'Initial planes      '
        DO 200 JSUR=1,NBCOR(1)
          WRITE(IOUT,6010) TRKLSI(JSUR),
     >    (ISINT(IDIR,JSUR),IDIR=0,5)
 200    CONTINUE
        IF(NBCOR(1)+1 .LE. NBSINT-NBCOR(2)) THEN
          WRITE(IOUT,6011) 'Intermediate planes '
          DO 201 JSUR=NBCOR(1)+1,NBSINT-NBCOR(2)
            WRITE(IOUT,6010) TRKLSI(JSUR),
     >      (ISINT(IDIR,JSUR),IDIR=0,5)
 201      CONTINUE
        ENDIF
        WRITE(IOUT,6011) 'Final planes        '
        DO 202 JSUR=NBSINT-NBCOR(2)+1,NBSINT
          WRITE(IOUT,6010) TRKLSI(JSUR),
     >    (ISINT(IDIR,JSUR),IDIR=0,5)
 202    CONTINUE
      ENDIF
*----
*  Identify final faces
*----
      DO JSUR=NBSINT,NBSINT-NBCOR(2)+1,-1
        DO IDIRS=0,5
          ISINT(IDIRS,JSUR+1)=ISINT(IDIRS,JSUR)
        ENDDO
        TRKLSI(JSUR+1)=TRKLSI(JSUR)
        IDIRS=ABS(ISINT(0,JSUR+1))
        IF(IDIRS .GE. 4) THEN
          IDIRF=ISINT(4,JSUR+1)
          IF(IDIRF .NE. MESH(4)) THEN
            WRITE(IOUT,9001) NAMSBR,'final   ',
     >                    JSUR,4,IDIRF,MESH(4)
            CALL XABORT(NAMSBR//
     >      ': Invalid '//CDIR(4)//' directed surface')
          ENDIF
          ISINT(4,JSUR+1)=-2
        ELSE
          IDIRF=ISINT(IDIRS,JSUR+1)
          IF(IDIRF .EQ. 1) THEN
            ISINT(IDIRS,JSUR+1)=-1
          ELSE IF(IDIRF .EQ. MESH(IDIRS)+1) THEN
            ISINT(IDIRS,JSUR+1)=-2
          ELSE
            WRITE(IOUT,9001) NAMSBR,'final   ',
     >                    JSUR,IDIRS,IDIRF,MESH(IDIRS)
            CALL XABORT(NAMSBR//': Invalid '//CDIR(IDIRS)//
     >      ' directed surface')
          ENDIF
        ENDIF
      ENDDO
*----
*  Identify regions
*----
      DO JSUR=NBSINT-NBCOR(2)+1,NBCOR(1)+1,-1
        IDIRFS=ISINT(0,JSUR)
        IF(IDIRFS .GE. 4) THEN
          IDIRFS=1
        ELSE
          IDIRFS=0
        ENDIF
        IDIRB=ABS(ISINT(0,JSUR-1))
        IF(IDIRB .GE. 4) IDIRB=4
        IDIRF=ABS(ISINT(0,JSUR))
        IF(IDIRF .GE. 4) IDIRF=4
        IF(IDIRB .EQ. IDIRF) THEN
          IF(IDIRB .EQ. 4) THEN
            IRFIN=MAX(ISINT(4,JSUR-1),ISINT(4,JSUR))
          ELSE
            IRFIN=MIN(ISINT(IDIRF,JSUR-1),ISINT(IDIRF,JSUR))
          ENDIF
        ELSE
          IF(IDIRF .EQ. 4) THEN
            IF(IDIRFS .EQ. 1) THEN
              IRFIN=ISINT(4,JSUR-1)
            ELSE
              IRFIN=ISINT(4,JSUR)
            ENDIF
          ELSE
            IRFIN=ISINT(IDIRF,JSUR-1)
          ENDIF
        ENDIF
        IF(IPRINT .GT. 1000) THEN
          WRITE(IOUT,*) 'JSUR =',JSUR,ISINT(0,JSUR-1),ISINT(0,JSUR),
     >                  IDIRB,IDIRF,IRFIN
        ENDIF
        TRKLSI(JSUR)=TRKLSI(JSUR)-TRKLSI(JSUR-1)
        DO IDIRS=1,5
          IF(IDIRS .EQ. IDIRF) THEN
            ISINT(IDIRS,JSUR)=IRFIN
          ELSE
            ISINT(IDIRS,JSUR)=ISINT(IDIRS,JSUR)
          ENDIF
        ENDDO
      ENDDO
*----
*  Identify initial face
*----
      DO JSUR=1,NBCOR(1)
        IDIRS=ABS(ISINT(0,JSUR))
        IF(IDIRS .GE. 4) THEN
          IDIRB=ISINT(4,JSUR)
          IF(IDIRB .NE. MESH(4)) THEN
            WRITE(IOUT,9001) NAMSBR,'initial ',
     >                    JSUR,4,IDIRB,MESH(4)
            CALL XABORT(NAMSBR//
     >      ': Invalid '//CDIR(4)//' directed surface')
          ENDIF
          ISINT(4,JSUR)=-2
        ELSE
          IDIRB=ISINT(IDIRS,JSUR)
          IF(IDIRB .EQ. 1) THEN
            ISINT(IDIRS,JSUR)=-1
          ELSE IF(IDIRB .EQ. MESH(IDIRS)+1) THEN
            ISINT(IDIRS,JSUR)=-2
          ELSE
            WRITE(IOUT,9001) NAMSBR,'initial ',
     >                    JSUR,IDIRS,IDIRB,MESH(IDIRS)
            CALL XABORT(NAMSBR//': Invalid '//CDIR(IDIRS)//
     >      ' directed surface')
          ENDIF
        ENDIF
      ENDDO
*----
*  Print final track information
*----
      IF(IPRINT .GT. 1000) THEN
        WRITE(IOUT,6011) 'Initial face        '
        DO JSUR=1,NBCOR(1)
          WRITE(IOUT,6010) TRKLSI(JSUR),
     >    (ISINT(IDIR,JSUR),IDIR=0,5)
        ENDDO
        WRITE(IOUT,6011) 'Regions             '
        DO JSUR=NBCOR(1)+1,NBSINT-NBCOR(2)+1
          WRITE(IOUT,6010) TRKLSI(JSUR),
     >    (ISINT(IDIR,JSUR),IDIR=0,5)
        ENDDO
        WRITE(IOUT,6011) 'Final face          '
        DO JSUR=NBSINT-NBCOR(2)+2,NBSINT+1
          WRITE(IOUT,6010) TRKLSI(JSUR),
     >    (ISINT(IDIR,JSUR),IDIR=0,5)
        ENDDO
        WRITE(IOUT,6001) NAMSBR
      ENDIF
      RETURN
*----
*  Output formats
*----
 6000 FORMAT('(* Output from --',A6,'-- follows ')
 6001 FORMAT('   Output from --',A6,'-- completed *)')
 6002 FORMAT('   No region crossed'/
     >       '   Output from --',A6,'-- completed *)')
 6010 FORMAT(1X,F25.16,6I10)
 6011 FORMAT(A20)
 6012 FORMAT(6(1X,F25.16,:,','))
 6013 FORMAT('};')
 6014 FORMAT(6I10)
 6015 FORMAT(6(1X,F25.16))
*----
*  Warning formats
*----
 9001 FORMAT(1X,'Error in --',A6,' --'/
     >       1X,'invalid ',A8,' surface identification ',4I10)
      END