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+*DECK BIVA03
+ SUBROUTINE BIVA03(ITY,MAXKN,MAXQF,SGD,NREG,LL4,ISPLH,NELEM,NBMIX,
+ 1 IIMAX,SIDE,MAT,KN,QFR,VOL,MU,R,RH,QH,RT,QT,SYS)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Assembly of a within-group (leakage and removal) or out-of-group
+* system matrix in mesh-corner finite-difference diffusion
+* approximation (hexagonal geometry).
+*
+*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
+* ITY type of assembly: =0: leakage-removal matrix assembly;
+* =1: cross section matrix assembly.
+* MAXKN dimension of array KN.
+* MAXQF dimension of array QFR.
+* SGD nuclear properties. SGD(:,1) and SGD(:,2) are diffusion
+* coefficients. SGD(:,3) are removal macroscopic cross sections.
+* NREG number of hexagons in BIVAC.
+* LL4 order of the matrix SYS.
+* ISPLH hexagonal geometry flag:
+* =1: hexagonal elements; >1: triangular elements.
+* NELEM number of finite elements (hexagons or triangles) excluding
+* the virtual elements.
+* NBMIX number of macro-mixtures.
+* IIMAX allocated dimension of array SYS.
+* SIDE side of the hexagons.
+* MAT mixture index per hexagon.
+* KN element-ordered unknown list.
+* QFR element-ordered information.
+* VOL volume of the hexagons.
+* MU indices used with the compressed diagonal storage mode matrix
+* SYS.
+* R unit matrix.
+* RH unit matrix.
+* QH unit matrix.
+* RT unit matrix.
+* QT unit matrix.
+*
+*Parameters: output
+* SYS system matrix.
+*
+*-----------------------------------------------------------------------
+*
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER ITY,MAXKN,MAXQF,NREG,LL4,ISPLH,NELEM,NBMIX,IIMAX,
+ 1 MAT(NREG),KN(MAXKN),MU(LL4)
+ REAL SGD(NBMIX,3),SIDE,QFR(MAXQF),VOL(NREG),R(2,2),RH(6,6),
+ 1 QH(6,6),RT(3,3),QT(3,3),SYS(IIMAX)
+*----
+* LOCAL VARIABLES
+*----
+ DOUBLE PRECISION RR,RRH,QQH
+ INTEGER ISR(6,2),ISRH(6,2),ISRT(3,2)
+ REAL RH2(6,6),QH2(6,6)
+ DATA ISRH/2,1,4,5,6,3,1,4,5,6,3,2/
+ DATA ISRT/1,2,3,2,3,1/
+*----
+* RECOVER THE HEXAGONAL MASS (RH2) AND STIFFNESS (QH2) MATRICES.
+*----
+ IF(ISPLH.EQ.1) THEN
+* HEXAGONAL BASIS.
+ LH=6
+ DO 15 I=1,6
+ DO 10 J=1,2
+ ISR(I,J)=ISRH(I,J)
+ 10 CONTINUE
+ 15 CONTINUE
+ DO 25 I=1,6
+ DO 20 J=1,6
+ RH2(I,J)=RH(I,J)
+ QH2(I,J)=QH(I,J)
+ 20 CONTINUE
+ 25 CONTINUE
+ CONST=1.5*SQRT(3.0)
+ CONSB=2.0*SQRT(3.0)/3.0
+ AA=SIDE
+ ELSE
+* TRIANGULAR BASIS.
+ LH=3
+ DO 35 I=1,3
+ DO 30 J=1,2
+ ISR(I,J)=ISRT(I,J)
+ 30 CONTINUE
+ 35 CONTINUE
+ DO 45 I=1,3
+ DO 40 J=1,3
+ RH2(I,J)=RT(I,J)
+ QH2(I,J)=QT(I,J)
+ 40 CONTINUE
+ 45 CONTINUE
+ CONST=0.25*SQRT(3.0)
+ CONSB=2.0*SQRT(3.0)
+ AA=SIDE/REAL(ISPLH-1)
+ ENDIF
+*----
+* ASSEMBLY OF A SYSTEM MATRIX.
+*----
+ IF(ITY.EQ.0) THEN
+* LEAKAGE-REMOVAL SYSTEM MATRIX ASSEMBLY.
+ NUM1=0
+ DO 105 K=1,NELEM
+ KHEX=KN(NUM1+LH+1)
+ IF(VOL(KHEX).EQ.0.0) GO TO 100
+ L=MAT(KHEX)
+ VOL0=QFR(NUM1+LH+1)
+ DO 60 I=1,LH
+ IND1=KN(NUM1+I)
+ IF(IND1.EQ.0) GO TO 60
+ KEY1=MU(IND1)-IND1
+ DO 50 J=1,LH
+ IND2=KN(NUM1+J)
+ IF((IND2.EQ.0).OR.(IND2.GT.IND1)) GO TO 50
+ QQH=QH2(I,J)/(CONST*AA*AA)
+ RRH=RH2(I,J)/CONST
+ IF((QQH.EQ.0.0).AND.(RRH.EQ.0.0)) GO TO 50
+ KEY=KEY1+IND2
+ SYS(KEY)=SYS(KEY)+REAL(QQH*SGD(L,1)+RRH*SGD(L,3))*VOL0
+ 50 CONTINUE
+ 60 CONTINUE
+ DO 90 IC=1,LH
+ QFR1=QFR(NUM1+IC)
+ IF(QFR1.EQ.0.0) GO TO 90
+ DO 80 I1=1,2
+ IND1=KN(NUM1+ISR(IC,I1))
+ IF(IND1.EQ.0) GO TO 80
+ KEY1=MU(IND1)-IND1
+ DO 70 J1=1,2
+ IND2=KN(NUM1+ISR(IC,J1))
+ IF((IND2.EQ.0).OR.(IND2.GT.IND1)) GO TO 70
+ RR=R(I1,J1)
+ IF(RR.EQ.0.0) GO TO 70
+ KEY=KEY1+IND2
+ SYS(KEY)=SYS(KEY)+REAL(RR)*QFR1
+ 70 CONTINUE
+ 80 CONTINUE
+ 90 CONTINUE
+ 100 NUM1=NUM1+LH+1
+ 105 CONTINUE
+ ELSE
+* CROSS SECTION SYSTEM MATRIX ASSEMBLY
+ NUM1=0
+ DO 135 K=1,NELEM
+ KHEX=KN(NUM1+LH+1)
+ IF(VOL(KHEX).EQ.0.0) GO TO 130
+ L=MAT(KHEX)
+ VOL0=QFR(NUM1+LH+1)
+ DO 120 I=1,LH
+ IND1=KN(NUM1+I)
+ IF(IND1.EQ.0) GO TO 120
+ KEY1=MU(IND1)-IND1
+ DO 110 J=1,LH
+ IND2=KN(NUM1+J)
+ IF((IND2.EQ.0).OR.(IND2.GT.IND1)) GO TO 110
+ RRH=RH2(I,J)/CONST
+ IF(RRH.EQ.0.0) GO TO 110
+ KEY=KEY1+IND2
+ SYS(KEY)=SYS(KEY)+REAL(RRH)*SGD(L,1)*VOL0
+ 110 CONTINUE
+ 120 CONTINUE
+ 130 NUM1=NUM1+LH+1
+ 135 CONTINUE
+ ENDIF
+ RETURN
+ END