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*DECK SYBUQV
SUBROUTINE SYBUQV(ZZR,ZZI,NSURF,NREG,SIGT,MNA,LGFULL,PIJ)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the one-group collision, DP-0 leakage and DP-0 transmission
* probabilities in a Cartesian or hexagonal 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
* ZZR real tracking elements.
* ZZI integer tracking elements.
* NSURF number of surfaces (4 or 6).
* NREG number of regions.
* SIGT total macroscopic cross section.
* MNA number of angles.
* LGFULL void flad (=.TRUE. in voided regions).
*
*Parameters: output
* PIJ collision, DP-0 leakage and DP-0 transmission probabilities
* in lower triangular form.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ZZI(*),NSURF,NREG,MNA
REAL ZZR(*),SIGT(NSURF:NSURF+NREG-1),
> PIJ(0:(NREG+NSURF)*(NREG+NSURF+1)/2-1)
LOGICAL LGFULL(NSURF:NSURF+NREG-1)
*----
* LOCAL VARIABLES
*----
PARAMETER (MKI3=600,ZI30=0.785398164)
LOGICAL LGEMPT
REAL, ALLOCATABLE, DIMENSION(:) :: POPTX
COMMON /BICKL3/BI3(0:MKI3),BI31(0:MKI3),BI32(0:MKI3),PAS3,XLIM3,L3
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(POPTX(2*NREG+4))
*----
* CHECK FOR VOIDED REGIONS
*----
LGEMPT=.FALSE.
DO 10 IR=1,NREG
LGEMPT=LGEMPT.OR.(.NOT.LGFULL(IR+NSURF-1))
10 CONTINUE
*----
* INITIALIZATION
*----
IZ0=0
IZR=4
PIJ(0:(NREG+NSURF)*(NREG+NSURF+1)/2-1)=0.0
IF(LGEMPT) THEN
* VOIDED REGION DETECTED.
DO 52 IA=1,MNA
MNT=ZZI(IZ0+1)
IZ0=IZ0+2
IZR=IZR+NSURF*2+1
*
* LOOP OVER COMPLETE TRACKS.
DO 51 ITT=1,MNT
IZ0=IZ0+1
NH=ZZI(IZ0)
IZ0=IZ0+1
NX=ZZI(IZ0)
*
IZ0=IZ0+1
ISW=ZZI(IZ0) ! WEST SIDE
JZI=IZ0
DO 50 ITX=1,NX
IZR=IZR+1
WITRAJ=ZZR(IZR)/4.0
IZ0=JZI
*
* COMPUTE OPTICAL LENGTHS.
DO 20 IX=1,NH
IR=ZZI(IZ0+IX)
POPTX(IX)=ZZR(IZR+IX)*SIGT(IR)
20 CONTINUE
ISE=ZZI(IZ0+NH+1) ! EAST SIDE
IZR=IZR+NH
*
* EXTERNAL IS IR=0
IRS=ISW
POP1=0.
DO 40 IXI=1,NH
IRT=IRS
IRS=ZZI(IZ0+IXI)
*
* BEGINNING WITH IRS == JRS, P(i,i)=Taup -(B3(0)-P3)
IIJ=IRS*(IRS+3)/2
CALL SYB33C(PPLUS,POPTX(IXI))
PIJ(IIJ)=PIJ(IIJ)+2.0*PPLUS*WITRAJ
TAUX=0.
DO 30 IXJ=IXI,NH
JRS=ZZI(IZ0+IXJ)
IIJ=MAX(IRT*(IRT+1)/2+JRS,JRS*(JRS+1)/2+IRT)
IF(IRT.LT.NSURF) THEN
CALL SYB32C(PPLUS,TAUX,POPTX(IXJ),2)
PIJ(IIJ)=PIJ(IIJ)+PPLUS*WITRAJ
ELSE
CALL SYB31C(PPLUS,TAUX,POP1,POPTX(IXJ))
IF(JRS.EQ.IRT) PPLUS=2.0*PPLUS
PIJ(IIJ)=PIJ(IIJ)+PPLUS*WITRAJ
ENDIF
TAUX=TAUX+POPTX(IXJ)
30 CONTINUE
IIJ=MAX(IRT*(IRT+1)/2+ISE,ISE*(ISE+1)/2+IRT)
IF(IRT.LT.NSURF) THEN
PIJ(IIJ)=PIJ(IIJ)+TABKI(3,TAUX)*WITRAJ
ELSE
CALL SYB32C(PPLUS,TAUX,POP1,2)
PIJ(IIJ)=PIJ(IIJ)+PPLUS*WITRAJ
ENDIF
POP1=POPTX(IXI)
40 CONTINUE
IZ0=IZ0+NH+1
*
* COMPUTE REMAINING PSI FROM LAST REGION TO EAST SIDE.
IIJ=MAX(IRS*(IRS+1)/2+ISE,ISE*(ISE+1)/2+IRS)
CALL SYB32C(PPLUS,0.0,POP1,2)
PIJ(IIJ)=PIJ(IIJ)+PPLUS*WITRAJ
50 CONTINUE
51 CONTINUE
52 CONTINUE
ELSE
* NO VOIDED REGION DETECTED. FAST INTEGRATION METHOD.
* LOOP OVER THE ANGLE(FROM 0 TO PI/3).
DO 92 IA=1,MNA
MNT=ZZI(IZ0+1)
IZ0=IZ0+2
IZR=IZR+NSURF*2+1
*
* LOOP OVER COMPLETE TRACKS.
DO 91 ITT=1,MNT
IZ0=IZ0+1
NH=ZZI(IZ0)
IZ0=IZ0+1
NX=ZZI(IZ0)
*
* WEST SIDE
IZ0=IZ0+1
ISW=ZZI(IZ0)
JZI=IZ0
DO 90 ITX=1,NX
IZR=IZR+1
WITRAJ=ZZR(IZR)/4.0
JZR=IZR
IZ0=JZI
IF(WITRAJ.LT.0.0) CALL XABORT('SYBUQV: FAILURE 3.')
IF(NH.GT.2*NREG+4) CALL XABORT('SYBUQV: FAILURE 4.')
*
* COMPUTE OPTICAL LENGTHS.
DO 60 IX=1,NH
IZ0=IZ0+1
IR=ZZI(IZ0)
IZR=IZR+1
SEG=ZZR(IZR)
POPTX(IX)=SEG*SIGT(IR)
60 CONTINUE
*
* EXTERNAL IS IR=0
IZ0=JZI
IRS=ISW
JZ0=0
DO 80 IXI=1,NH
IRT=IRS
IZ00=IZ0
IZ0=IZ0+1
IRS=ZZI(IZ0)
*
* PREVIOUS REGION J
JZ0=IZ00
PKI3=ZI30*WITRAJ
TAUX=0.
*
* BEGINNING WITH IRS == JRS,P(i,i)=Taup -(B3(0)-P3)
IIJ=IRS*(IRS+3)/2
PIJ(IIJ)=PIJ(IIJ)+POPTX(IXI)*WITRAJ
DO 70 IXJ=IXI,NH
JZ0=JZ0+1
JRS=ZZI(JZ0)
QIJ3=PKI3
TAUX=TAUX+POPTX(IXJ)
IF(TAUX.GE.XLIM3) THEN
PKI3=0.0
ELSE
K=NINT(TAUX*PAS3)
PKI3=(BI3(K)+TAUX*(BI31(K)+TAUX*BI32(K)))*WITRAJ
ENDIF
SIJ3=QIJ3-PKI3
*
* BEGINNING OF PIJ : REGION IRS,JRS
IIJ=MAX(IRS*(IRS+1)/2+JRS,JRS*(JRS+1)/2+IRS)
PIJ(IIJ)=PIJ(IIJ)-SIJ3
*
* REMAINING OF PIJ : Region IRS,JRS
* OR ... PSI IFF IXI=1, IRT IS THE WEST SIDE
IIJ=MAX(IRT*(IRT+1)/2+JRS,JRS*(JRS+1)/2+IRT)
PIJ(IIJ)=PIJ(IIJ)+SIJ3
70 CONTINUE
*
* COMPUTE LEAKAGE AND TRANSMISSION PROBABILITIES PSI, PSS
JZ0=JZ0+1
ISE=ZZI(JZ0)
IIJ=IRS*(IRS+1)/2+ISE
PIJ(IIJ)=PIJ(IIJ)-PKI3
IIJ=MAX(IRT*(IRT+1)/2+ISE,ISE*(ISE+1)/2+IRT)
PIJ(IIJ)=PIJ(IIJ)+PKI3
80 CONTINUE
*
* COMPUTE REMAINING PSI FROM LAST REGION TO EAST SIDE.
IZ0=IZ0+1
ISE=ZZI(JZ0)
IIJ=MAX(IRS*(IRS+1)/2+ISE,ISE*(ISE+1)/2+IRS)
PIJ(IIJ)=PIJ(IIJ)+ZI30*WITRAJ
90 CONTINUE
91 CONTINUE
92 CONTINUE
IIJ=NSURF*(NSURF+1)/2-1
DO 100 JR=1,NREG
IIJ=IIJ+NSURF+JR
PIJ(IIJ)=PIJ(IIJ)*2.0
100 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(POPTX)
RETURN
END
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