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*DECK XELLIN
SUBROUTINE XELLIN(NDIM,NCP,MAXREM,REMESH,
> NSUR,NVOL,INDEL,MINDIM,MAXDIM,
> ICOORD,ICUR,INCR,TRKBEG,TRKEND,TRKDIR,
> PROJC2,TOTLEN,
> CONV,LINMAX,LENGHT,NUMERO,LINE)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Construct one tracking line which consists of two vectors.
*
*Copyright:
* Copyright (C) 1987 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
* NDIM number of dimension (2 or 3).
* NCP number of cylindres of a type + 3 (< nc3max).
* MAXREM max number of real mesh values in REMESH.
* REMESH real mesh values (rect/cyl).
* NSUR number of surfaces.
* NVOL number of zones.
* INDEL numbering of surfaces & zones.
* MINDIM min index values for all axes (rect/cyl).
* MAXDIM max index values for all axes (rect/cyl).
* ICOORD principal axes direction (X/Y/Z) for meshes.
* ICUR current zonal location for a track segment.
* INCR increment direction for next track segment.
* TRKBEG position where a track begins.
* TRKEND position where a track ends.
* TRKDIR direction of a track in all axes.
* PROJC2 projections of TRKDIR along tracked angles.
* TOTLEN total lenght of the track.
* CONV segments of tracks.
* LINMAX max. number of track segments in a single track.
*
*Parameters: output
* LENGHT relative lenght of each segment in a track.
* NUMERO region identification of each track segment.
* LINE lenght of the track.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*
INTEGER NDIM, NCP, MAXREM, NSUR, NVOL, LINMAX, LINE
REAL TRKBEG(NCP), TRKDIR(NCP), CONV(NCP),
> REMESH(MAXREM), TRKEND(*), PROJC2(*), TOTLEN
DOUBLE PRECISION LENGHT(LINMAX)
INTEGER MINDIM(NCP), MAXDIM(NCP), ICUR(NCP),
> ICOORD(NCP), INCR(NCP), INDEL(4,*),
> NUMERO(LINMAX)
*
INTEGER IORD(4), N, NP1, NP2, IBEGIN, IEND, KELVOL
REAL TKBEG1, TKBEG2, TKEND1, TKEND2, R2BEG, R2END
DOUBLE PRECISION CONVOK, PAT0, PAT1
LOGICAL BETWEN
INTEGER NEXT, NUM, I, J
REAL ANORM2, CENTRE, A, B
*
ANORM2(A,B)= A*A + B*B
CENTRE(I,J)= REMESH( MAXDIM(I-1) + J )
NEXT(J)= ICUR(J) + MAX( 0, INCR(J) )
NUM(J)= J + 1 - NSUR
*
* IF THERE ARE NO CYLINDER AT ALL
IEND=0
DO 90 I = 1, NDIM
N = ICOORD(I)
*
* FIND BEGINNING VOLUME #
ICUR(I)= MINDIM(I)
DO 80 J = MINDIM(I), MAXDIM(I)-1
IF(TRKBEG(N).GE.REMESH(J)) ICUR(I)= J
IF(TRKEND(N).GE.REMESH(J)) IEND= J
80 CONTINUE
IF( ICUR(I).EQ.IEND )THEN
CONV(I)= TOTLEN
ELSE
IF( INCR(N).EQ.0 )THEN
CONV(I)= TOTLEN
ELSE
CONV(I)=(REMESH(NEXT(I))-TRKBEG(N))/TRKDIR(N)
ENDIF
ENDIF
90 CONTINUE
*
IBEGIN= MAXDIM(3) + 3
DO 110 I = 4, NCP
N = ICOORD(I)
NP1 = MOD(N ,3) + 1
NP2 = MOD(N+1,3) + 1
TKBEG1= CENTRE(I,1) - TRKBEG(NP1)
TKEND1= CENTRE(I,1) - TRKEND(NP1)
TKBEG2= CENTRE(I,2) - TRKBEG(NP2)
TKEND2= CENTRE(I,2) - TRKEND(NP2)
R2BEG = ANORM2(TKBEG1,TKBEG2)
R2END = ANORM2(TKEND1,TKEND2)
TRKBEG(I)= (TKBEG1*TRKDIR(NP1)+TKBEG2*TRKDIR(NP2))/PROJC2(N)
BETWEN = 0.0 .LT. TRKBEG(I) .AND. TRKBEG(I) .LT. TOTLEN
TRKDIR(I)= R2BEG - TRKBEG(I) * TRKBEG(I) * PROJC2(N)
ICUR(I) = IBEGIN - 1
MINDIM(I)= IBEGIN - 1
IEND = IBEGIN - 1
DO 100 J = IBEGIN, MAXDIM(I)
IF( R2BEG .GE. REMESH(J) )ICUR(I)= J
IF( TRKDIR(I).GE. REMESH(J) )MINDIM(I)= J
IF( R2END .GE. REMESH(J) )IEND = J
100 CONTINUE
IBEGIN= MAXDIM(I) + 3
IF( ICUR(I).EQ.MINDIM(I) .AND.
> IEND .EQ.MINDIM(I) )THEN
CONV(I)=TOTLEN
ELSE
IF( (BETWEN .AND. ICUR(I).NE.MINDIM(I)) .OR.
> ICUR(I).GT.IEND )THEN
INCR(I)=-1
ELSE
INCR(I)=+1
ENDIF
IF( NEXT(I).GT.MAXDIM(I) )THEN
CONV(I)=TOTLEN
ELSE
CONV(I)= TRKBEG(I) + INCR(I) *
> SQRT((REMESH(NEXT(I))-TRKDIR(I))
> / PROJC2(ICOORD(I)))
ENDIF
ENDIF
110 CONTINUE
*
* VOLUME TRACKED
LINE = 0
120 LINE = LINE + 1
*
* LOOKING FOR THE MINIMUM VALUE IN "CONVOK"
CONVOK= TOTLEN
DO 130 I= 1, NCP
IF( CONV(I) .LT. CONVOK ) CONVOK= CONV(I)
130 CONTINUE
DO 135 I= 1, NCP
IORD(MIN(4,I))= ICUR(I)
IF(I.GT.3.AND.ICUR(I).LT.MAXDIM(I)) GOTO 136
135 CONTINUE
IORD(4)= 0
136 CONTINUE
KELVOL= NVOL
INDEL(1,NUM(0))= IORD(1)
INDEL(2,NUM(0))= IORD(2)
INDEL(3,NUM(0))= IORD(3)
INDEL(4,NUM(0))= IORD(4)
885 CONTINUE
IF( IORD(1).EQ.INDEL(1,NUM(KELVOL)).AND.
> IORD(2).EQ.INDEL(2,NUM(KELVOL)).AND.
> IORD(3).EQ.INDEL(3,NUM(KELVOL)).AND.
> IORD(4).EQ.INDEL(4,NUM(KELVOL)) ) GO TO 895
KELVOL= KELVOL - 1
GO TO 885
895 IF(KELVOL.EQ.0) CALL XABORT('XELLIN: TRACKING FAILURE.')
NUMERO(LINE)= KELVOL
LENGHT(LINE)= CONVOK
*
* IF "CONVOK" IS "TOTLEN" THE TRACKING IS FINISHED
IF( CONVOK.EQ.TOTLEN ) GO TO 160
*
* UPDATE WHERE THE MINIMUM VALUE "CONVOK" IS OBTAINED
DO 140 I = 1, NDIM
IF( CONV(I) .NE. CONVOK ) GO TO 140
ICUR(I)= ICUR(I) + INCR(I)
IF( NEXT(I).GT.MAXDIM(I) .OR.
> NEXT(I).LT.MINDIM(I) ) GO TO 160
N = ICOORD(I)
CONV(I)= ( REMESH(NEXT(I)) - TRKBEG(N) ) / TRKDIR(N)
140 CONTINUE
DO 150 I = 4, NCP
IF( CONV(I) .NE. CONVOK ) GO TO 150
ICUR(I)= ICUR(I) + INCR(I)
IF( ICUR(I) .EQ. MINDIM(I) .AND.
> INCR(I) .EQ. -1 )THEN
INCR(I)= +1
ENDIF
IF( NEXT(I) .GT. MAXDIM(I) .OR.
> NEXT(I) .LT. MINDIM(I) )THEN
CONV(I)= TOTLEN
ELSE
N = ICOORD(I)
CONV(I)= TRKBEG(I) + INCR(I) *
> SQRT( (REMESH(NEXT(I))-TRKDIR(I))/PROJC2(N) )
ENDIF
150 CONTINUE
*
* GO TO NEXT COORDINATE
IF( LINE .NE. LINMAX ) GO TO 120
CALL XABORT('XELLIN: TOO MANY TRACKS')
160 CONTINUE
*
* TRANSFORM LOCAL COORDINATES TO PATH LENGTHS
PAT0= 0.0D0
DO 170 I= 1, LINE
PAT1= LENGHT(I)
LENGHT(I)= PAT1-PAT0
PAT0= PAT1
170 CONTINUE
*
RETURN
END
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