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*DECK XL3TI3
SUBROUTINE XL3TI3( IPRT,NANGLE,DENUSR,ISYMM,ANGLES,DENSTY,
> NTOTCL,NEXTGE,MAXR,REMESH,LINMAX,RCUTOF,
> NSUR,NVOL,INDEL,MINDIM,
> MAXDIM,ICOORD,INCR,ICUR,TRKBEG,CONV,TRKDIR,
> LENGHT,NUMERO,NPIJ,NGRP,SIGTAL,SWVOID,NORE,
> NRMV,VOLTRK,KEYMRG,NSOUT,NREG,NPSYS,DBLPIJ )
*
*-----------------------------------------------------------------------
*
*Purpose:
* Construct the sequential tape that will contain tracks for
* isotropic BC 3-D calculations.
*
*Copyright:
* Copyright (C) 1996 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
* IPRT intermediate printing level for output.
* NANGLE number of angles used in the tracking process.
* DENUSR density of tracks in the plane perpendicular
* to the tracking angles.
* ISYMM flag for symetry (1/0 for on/off):
* = 2 reflection plane normal to X axis;
* = 4 reflection plane normal to Y axis;
* = 8 reflection plane normal to X and Y axis;
* =16 reflection plane normal to Z axis;
* =18 reflection plane normal to X and Z axis;
* =20 reflection plane normal to Y and Z axis;
* =24 reflection plane normal to X, Y and Z axis.
* ANGLES 3D angle values.
* DENSTY density of tracks angle by angle.
* NTOTCL number of cylindres of a type + 3.
* NEXTGE for tubez, nextge=1
* MAXR max number of real mesh values in REMESH.
* REMESH real mesh values (rect/cyl).
* LINMAX max. number of track segments in a single track.
* RCUTOF cutof for corner tracking(0.25 suggested).
* NSUR number of surfaces.
* NVOL number of zones.
* INDEL numbering of surfaces and 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.
* CONV s egments of tracks.
* TRKDIR direction of a track in all axes.
* LENGHT relative lenght of each segment in a track.
* NUMERO material identification of each track segment.
* NPIJ number of probabilities in one group
* NORE track normalization (-1 yes; 1 no).
* NRMV volume factors only (0 no; 1 yes).
* NGRP number of groups.
* SIGTAL total XS.
* SWVOID flag for void regions.
* KEYMRG merge keys.
* NSOUT number of outer surfaces.
* NREG number of regions.
* NPSYS undefined.
* DBLPIJ collision probabilities.
*
*Parameters: output
* VOLTRK volume factors.
*
*Reference:
* R.Roy, A. Hebert and G. Marleau
* A transport method for treating 3-d lattices of heterogeneous cells,
* Nuclear Science and Engineering, 101, 217 (1989).
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*
INTEGER IPRT,NANGLE,NTOTCL,NEXTGE,MAXR,LINMAX,
> NSUR,NVOL,NPIJ,NGRP,NORE,NRMV,NSOUT,NREG
REAL DENUSR
*
REAL TRKBEG(NTOTCL), TRKDIR(NTOTCL), CONV(NTOTCL),
> REMESH(MAXR), DENSTY(*), RCUTOF, TRKEND(3),
> TRKORI(3), TRKOR2(3), PROJC2(3), ANGEQN(3,3),
> ANGLE2(3), ANGLE3(3), BARY(3), TRKCUT(3,2),
> TCUTOF(3,4), TORIC(3), ANGLES(3,*),
> SIGTAL(NSOUT:NREG,NGRP)
DOUBLE PRECISION LENGHT(LINMAX)
DOUBLE PRECISION VOLTRK(NSUR:NVOL,0:*),DBLPIJ(NPIJ,NGRP)
INTEGER MINDIM(NTOTCL), MAXDIM(NTOTCL), ICUR(NTOTCL),
> ICOORD(NTOTCL), INCR(NTOTCL), NUMERO(LINMAX),
> INDEL(4,*), NSBEG(4), NSEND(4), NSCUT(2),
> KEYMRG(NSUR:NVOL), NCSEG, NOLDS, NNEWS, NPSYS(NGRP)
INTEGER ISYMM
INTEGER IQUART(4)
LOGICAL LANGLE, SWVOID
EQUIVALENCE ( ANGEQN(1,2), ANGLE2 ), ( ANGEQN(1,3), ANGLE3 )
CHARACTER TEDATA*13
INTEGER NPAN, IOUT
DOUBLE PRECISION DZERO
PARAMETER ( NPAN=3, IOUT=6, DZERO=0.0D0 )
*
INTEGER NDIM, NSOUTM, I, J, NPOINT, NPO2, NCUTOF, LINM2,
> NOTRAK, NSOLAN, IVS, IANG, IGRP, ISB,
> NANGLS, IPAN, NESTIM, JANG, IX, IY, IREF1, I2, I3,
> NSOLMX, NTTRK, IANG0, NDEBS, N, IZZ, IANGL, K, K3,
> NCROS, LINE, JC, IL
REAL ANORM2, A, B, DENLIN, RCIRC, R2CIRC, DP, SURTOT,
> VOLTOT, WEIGHT, DEPART, X, Y, ANN, ODDNXT, TOTLEN,
> TOTXXX, DDENST
DOUBLE PRECISION FCUTOF
*
*
ANORM2( A, B ) = A*A + B*B
NDIM= 3
NSOUTM= -NSOUT
NSOLMX= 0
*
* ONE WEIGHT FOR ALL TRACKS
* DENLIN= # OF TRACKS / CM
DENLIN= SQRT(DENUSR)
*
* COMPUTE THE CIRCUMSCRIBED RADIUS AND
* THE COORDINATES FOR THE TRUE CENTER OF THE CELL
R2CIRC= 0.0
DO 10 I = 1, 3
BARY(I)= 0.5 * (REMESH(MAXDIM(I)) + REMESH(MINDIM(I)))
IF( NEXTGE.EQ.1 )THEN
CALL XABORT('XL3TI3: TUBEZ NOT SUPPORTED')
ELSE
R2CIRC = R2CIRC
> + (REMESH(MAXDIM(I)) - REMESH(MINDIM(I)))**2
ENDIF
10 CONTINUE
R2CIRC= 0.25 * R2CIRC
RCIRC = SQRT(R2CIRC)
*
* NPOINT= # OF TRACKS ALONG ONE PERPENDICULAR AXIS
NPOINT= INT( 2. * RCIRC * DENLIN )
***** BEWARE ***** BEWARE ***** BEWARE ***** BEWARE ***** BEWARE *****
***** CHANGE THIS "NPOINT" PARAMETER HAS TREMENDOUS EFFECTS ON TRACKING
***** BEWARE ***** BEWARE ***** BEWARE ***** BEWARE ***** BEWARE *****
*
* OTHER POSSIBLE CHOICES (EXPLORED WITHOUT SUCCESS) ARE ==>
*1-) NPOINT= INT( 2. * RCIRC * DENLIN ) + 1
*2-) NPOINT= NINT( 2. * RCIRC * DENLIN )
*3-) NPOINT= NINT( 2. * RCIRC * DENLIN ) + 1
*
* KEEP "NPOINT" ODD & CORRECT DENSITY
NPO2 = NPOINT / 2
NPOINT= 2 * NPO2 + 1
DP = 2. * RCIRC / NPOINT
DENLIN= 1. / DP
DENUSR= DENLIN**2
ODDNXT= (2*NPO2+3) / (2.*RCIRC)
IF( RCUTOF.EQ.0.0 )THEN
NCUTOF= 1
ELSE
NCUTOF= 4
ENDIF
LINM2= LINMAX-2*NCUTOF
FCUTOF= 1.0/DBLE(NCUTOF)
NOTRAK= 0
SURTOT= 0.0
VOLTOT= 0.0
IQUART(1)=1
IQUART(2)=1
IQUART(3)=1
IQUART(4)=1
IF(NEXTGE .EQ. 1) THEN
IQUART(2)=0
IQUART(3)=0
IQUART(4)=0
NSOLAN= (NANGLE * (NANGLE + 2)) / 2
ELSE
IF( ISYMM .EQ. 8 .OR. ISYMM .EQ. 24 )THEN
NSOLAN= (NANGLE * (NANGLE + 2)) / 8
IQUART(2)=0
IQUART(3)=0
IQUART(4)=0
ELSE IF( ISYMM .EQ. 4 .OR. ISYMM .EQ. 20 )THEN
NSOLAN= (NANGLE * (NANGLE + 2)) / 4
IQUART(2)=0
IQUART(4)=0
ELSE IF( ISYMM .EQ. 2 .OR. ISYMM .EQ. 18 )THEN
NSOLAN= (NANGLE * (NANGLE + 2)) / 4
IQUART(3)=0
IQUART(4)=0
ELSE
NSOLAN= (NANGLE * (NANGLE + 2)) / 2
ENDIF
ENDIF
*
* INITIALIZE NORMALIZED FACTORS
IF( NRMV.EQ.1 )THEN
DO 12 IVS= NSUR, NVOL
DO 11 IANG= 0, NSOLAN
VOLTRK(IVS,IANG)= DZERO
11 CONTINUE
12 CONTINUE
ELSE
DO 23 IGRP= 1, NGRP
DO 21 IVS= 1,NPIJ
DBLPIJ(IVS,IGRP)= DZERO
21 CONTINUE
23 CONTINUE
ENDIF
DDENST= 1.0/(NPAN*DENUSR)
NANGLS= (NANGLE * (NANGLE + 2)) / 2
CALL XELEQN( 3, 0, ANGEQN )
IANG= 0
DO 15 JANG= 1, NANGLS
DO 16 IPAN= 1, NPAN
CALL XELEQN( 3, NANGLE, ANGEQN )
16 CONTINUE
IF(IQUART(MOD(JANG-1,4)+1).NE.1 ) GO TO 15
IANG= IANG+1
DENSTY(IANG)= REAL(2*NSOLAN)
ANGLES(1,IANG)= ANGEQN(1,1)
ANGLES(2,IANG)= ANGEQN(2,1)
ANGLES(3,IANG)= ANGEQN(3,1)
15 CONTINUE
*
* TO REINITIATE THE EQN ANGLES
CALL XELEQN( 3, 0, ANGEQN )
IF( NEXTGE.EQ.1 )THEN
DDENST= 12.0*DDENST
ENDIF
WEIGHT= 0.5*DDENST/REAL(NSOLAN)
IF( IPRT.GT.1 )THEN
*
* PREPARE & PRINT THE ESTIMATED NUMBER OF TRACKS
NESTIM= 0
DEPART= - (NPO2+1) * DP
X = DEPART
DO 25 IX = 1, NPOINT
X = X + DP
Y = DEPART
DO 20 IY = 1, NPOINT
Y = Y + DP
IF( ANORM2( X, Y ) .LE. R2CIRC ) NESTIM= NESTIM + 1
20 CONTINUE
25 CONTINUE
WRITE(IOUT,'(1H )')
WRITE(IOUT,'( 8H0ECHO = ,I8,20H TRACKS/AXIS/ANGLE )')
> NPOINT
WRITE(IOUT,'( 8H ECHO = ,I8,25H TRACKS/CIRCLE/ANGLE )')
> NESTIM
NESTIM= NESTIM * NPAN * NSOLAN
WRITE(IOUT,'(30H ECHO = NEXT ODD DENSITY > ,F15.7,4H/CM2)')
> ODDNXT**2
WRITE(IOUT,'( 8H ECHO = ,28H ESTIMATED NUMBER OF TRACKS= ,I8 )')
> NESTIM
*
* PREPARE PRINTING WITH VARIABLE FORMAT
WRITE(IOUT,'(1H )')
WRITE(IOUT,'( 8H0ECHO = ,I3,27H SOLID ANGLES TO BE TRACKED )')
> NSOLAN
NSOLMX= MIN(9, NSOLAN/10)
IREF1 = 0
WRITE(IOUT,'( 1H0,10(I1,9X))') (IREF1, IZZ=0,NSOLMX)
WRITE(IOUT,'( 1H ,10(I1,9X))') (MOD(IZZ,10), IZZ=0,NSOLMX)
WRITE(IOUT,'( 2H 0)')
TEDATA= '(1H+,TXXX,I1)'
ENDIF
IANG = 0
IANG0 = 0
NTTRK = 0
DO 290 IANGL= 1, NANGLS
IANG=IANG+1
LANGLE= .FALSE.
IF(IQUART(MOD(IANG-1,4)+1).NE.1)THEN
*----
* Do not track this angle because of the problem symmetry
*----
LANGLE= .FALSE.
ELSE
*----
* Track this angle
*----
IANG0= IANG0+1
LANGLE=.TRUE.
ENDIF
IF(( IPRT.GT.1).AND.( MOD(IANGL,100) .EQ. 0 ))THEN
IREF1=IREF1+1
NDEBS= NSOLMX+1
NSOLMX=MIN(NDEBS+9, NANGLS/10)
WRITE(IOUT,'( 1H0,10(I1,9X))')(IREF1,IZZ=NDEBS,NSOLMX)
WRITE(IOUT,'( 1H ,10(I1,9X))')
> (MOD(IZZ,10),IZZ=NDEBS,NSOLMX)
WRITE(IOUT,'( 2H 0)')
ENDIF
*
* NPAN AXES DESCRIPTION (X=0.0, Y=0.0 & Z=0.0)
DO 250 IPAN= 1, NPAN
CALL XELEQN( 3, NANGLE, ANGEQN )
IF(.NOT.LANGLE) GO TO 250
IF( NEXTGE.EQ.1 )THEN
IF( IPAN.NE.2 ) GO TO 250
ENDIF
DO 30 I = 1, 3
N = ICOORD(I)
TRKDIR(N)= ANGEQN(N,1)
INCR(I)= +1
IF( TRKDIR(N) .LT. 0.0 ) INCR(I)= -1
*
* MODIFY ANGLES TO TAKE INTO ACCOUNT DP
ANGLE2(I)= DP * ANGLE2(I)
ANGLE3(I)= DP * ANGLE3(I)
IF( NCUTOF.NE.1 )THEN
TCUTOF(I,1)= RCUTOF*( ANGLE2(I)+ ANGLE3(I) )
TCUTOF(I,2)= RCUTOF*( ANGLE2(I)- ANGLE3(I) )
TCUTOF(I,3)= -TCUTOF(I,2)
TCUTOF(I,4)= -TCUTOF(I,1)
ENDIF
*
* DETERMINE THE ORIGIN OF ALL TRACKS
TRKOR2(I)= BARY(I) - (NPO2+1)*(ANGLE2(I)+ANGLE3(I))
30 CONTINUE
DO 45 I = 1, 3
PROJC2(I)= 0.0
DO 40 J = 1, 3
IF( I.EQ.J ) GO TO 40
PROJC2(I)= PROJC2(I) + TRKDIR(J) * TRKDIR(J)
40 CONTINUE
45 CONTINUE
*
* SCAN ALL TRACKS IN THE PERPENDICULAR PLANE
DO 180 I2 = 1, NPOINT
DO 50 J = 1, 3
TRKOR2(J)= TRKOR2(J) + ANGLE2(J)
TRKORI(J)= TRKOR2(J)
50 CONTINUE
DO 170 I3 = 1, NPOINT
ANN = 0.0
DO 60 J = 1, 3
TRKORI(J)= TRKORI(J) + ANGLE3(J)
ANN= ANN + (TRKORI(J)-BARY(J))**2
60 CONTINUE
*
* ELIMINATE TRACKS OUTSIDE CIRCUMSCRIBED CIRCLE
IF( ANN.GT.R2CIRC ) GO TO 170
*
* WRITE(IOUT,7002) I2,I3,(TRKORI(JJ),JJ=1,3)
*7002 FORMAT(' ORIGINE MESH:',I10,5X,I10,5X,3(F11.5))
*
* WHICH EXTERNAL SURFACES DO THIS TRACK CROSS ?
NTTRK=NTTRK+1
CALL XELLSR( NDIM, NTOTCL, NSUR, MAXR, REMESH,
> INDEL, MINDIM, MAXDIM, ICOORD, ICUR, INCR,
> TRKORI, TRKDIR, TRKCUT, NSCUT, NCROS,
> TOTLEN)
*
* WHEN NOT SURFACES ARE CROSSED, ELIMINATE THE TRACK
IF(NCROS.LT.2) GO TO 170
DO 70 K= 1, NDIM
TRKBEG(K)= TRKCUT(K,1)
TRKEND(K)= TRKCUT(K,2)
70 CONTINUE
DO 75 K= 1, 4
NSBEG(K)= NSCUT(1)
NSEND(K)= NSCUT(2)
75 CONTINUE
IF( NCUTOF.NE.1 )THEN
DO 77 K= 1, 4
DO 76 K3= 1, 3
TORIC(K3)= TRKORI(K3)+TCUTOF(K3,K)
76 CONTINUE
CALL XELLSR( NDIM, NTOTCL, NSUR, MAXR, REMESH,
> INDEL, MINDIM, MAXDIM, ICOORD, ICUR, INCR,
> TORIC, TRKDIR, TRKCUT, NSCUT, NCROS,
> TOTXXX)
IF(NSCUT(1).NE.0) NSBEG(K)= NSCUT(1)
IF(NSCUT(2).NE.0) NSEND(K)= NSCUT(2)
77 CONTINUE
ENDIF
CALL XELLIN( NDIM, NTOTCL, MAXR, REMESH,
> NSUR, NVOL, INDEL, MINDIM, MAXDIM,
> ICOORD, ICUR, INCR, TRKBEG, TRKEND, TRKDIR,
> PROJC2, TOTLEN, CONV, LINM2,
> LENGHT(NCUTOF+1), NUMERO(NCUTOF+1), LINE)
NOTRAK= NOTRAK+1
*
DO 78 ISB=1,NCUTOF
NUMERO(ISB)= NSBEG(ISB)
LENGHT(ISB)= FCUTOF
NUMERO(NCUTOF+LINE+ISB)= NSEND(ISB)
LENGHT(NCUTOF+LINE+ISB)= FCUTOF
78 CONTINUE
LINE= LINE+2*NCUTOF
IF( IPRT.GT.10000)THEN
WRITE(IOUT,6001) NOTRAK,
> NCUTOF,(TRKBEG(JC),JC=1,3),
> NCUTOF,(TRKEND(JC),JC=1,3),
> (TRKDIR(JC),JC=1,3)
WRITE(IOUT,6002) (LENGHT(I),NUMERO(I),I=1,LINE)
ENDIF
IF( NRMV.EQ.1 )THEN
DO 301 I= 1, LINE
VOLTRK(NUMERO(I),IANG0)= VOLTRK(NUMERO(I),IANG0)
> + DBLE(WEIGHT) * LENGHT(I)
301 CONTINUE
ELSE
IF( NORE.EQ.-1 )THEN
DO 302 I= 1, LINE
IF( NUMERO(I).GT.0 )THEN
LENGHT(I) = LENGHT(I) *
> SNGL(VOLTRK(NUMERO(I),IANG0))
ENDIF
302 CONTINUE
ENDIF
DO 303 I= 1, LINE
NUMERO(I)= KEYMRG(NUMERO(I))
303 CONTINUE
*
* START MODIFICATIONS 98/06 (G.M.)
* COMPRESS TRACKING FILE FOR
* SUCCESSIVE IDENTICAL REGIONS
NOLDS=NUMERO(1)
NCSEG=1
DO 304 IL = 2, LINE
NNEWS=NUMERO(IL)
IF( NNEWS.LT.0 .OR. NNEWS.NE.NOLDS )THEN
NOLDS=NNEWS
NCSEG=NCSEG+1
NUMERO(NCSEG)=NUMERO(IL)
LENGHT(NCSEG)=LENGHT(IL)
ELSEIF( NNEWS.EQ.NOLDS )THEN
LENGHT(NCSEG)=LENGHT(NCSEG)+LENGHT(IL)
ENDIF
304 CONTINUE
CALL QIJI3D(NREG,NSOUTM,NPIJ,NGRP,LINMAX,NCUTOF,
> SWVOID,NCSEG,WEIGHT,NUMERO,LENGHT,
> SIGTAL,NPSYS,DBLPIJ)
* END MODIFICATIONS 98/06 (G.M.)
*
ENDIF
170 CONTINUE
180 CONTINUE
250 CONTINUE
290 CONTINUE
*
IF( IPRT.GT.1 )THEN
WRITE(IOUT,'(1H )')
WRITE(IOUT,'(27H0ECHO = TRACKING PROPERTIES )')
WRITE(IOUT,'( 8H0ECHO = ,I3,20H ANGLES AND DENSITY:,
> F9.6,4H/CM2)')
> NANGLE, DENUSR
WRITE(IOUT,'( 8H0ECHO = ,I10,3H / ,I10,
> 27H TRACKS NOT STORED ON TAPE /)')
> NOTRAK,NTTRK
ENDIF
*
RETURN
*
6001 FORMAT(' #',I8,1P,' B',I1,'(',2(E10.2,','),E10.2,')',
> ' E',I1,'(',2(E10.2,','),E10.2,')',
> ' D(',2(E10.2,','),E10.2,')' )
6002 FORMAT(1P,5(1X,E15.7,1X,I6))
END
|