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*DECK MCGPTA
SUBROUTINE MCGPTA(NFI,NREG,NLONG,M,NANGL,NMU,LC,NGEFF,
1 IANGL,NSEG,NOM2D,NZONA,IPERM,KM,IM,MCU,PREV,
2 NEXT,W2D,ZMU,WZMU,SIGAL,XSW,T2D,DIAGQ,CQ,
3 DIAGF,CF,WORK,LTMT,SUBDS2,SUBDSP,SUBDSC,NR2D,
4 NMAX,NZP,N2REG,N2SOU,DELU,INDREG,NOM3D,NOM3D0,
5 H3D,H3D0,Z,VNORF,CMU,CMUI,SMU,SMUI,TMU,TMUI,
6 N3TR,N3TRTMT,N3SE,N3SETMT,N2TPROC,SSYM)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Flux integration upon the tracking (3D prismatic extended tracking).
*
*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): R. Le Tellier
*
*Parameters: input
* NFI total number of volumes for which specific values
* of the neutron flux and reactions rates are required.
* NREG number of volumes.
* NLONG order of the corrective system.
* M number of material mixtures.
* NANGL number of tracking angles in the plane.
* NMU order of the polar quadrature.
* LC dimension of vector MCU.
* NGEFF number of energy groups to process.
* IANGL direction index for the current 2D track.
* NSEG number of segments for the current 2D track.
* NOM2D vector containing the region number of the different
* segments of this 2D track.
* NZONA index-number of the mixture type assigned to each volume
* for ACA.
* IPERM permutation array.
* KM used in CDD acceleration.
* IM used in CDD acceleration.
* MCU used in CDD acceleration.
* W2D 2D track weight.
* ZMU polar quadrature set in 2D.
* WZMU polar quadrature set in 2D.
* SIGAL total cross-section and albedo array.
* XSW scattering cross sections array.
* T2D vector containing the local coordinates of the segments
* boundaries for this 2D track.
* LTMT track merging flag.
* SUBDS2 ACA coefficients summation subroutine.
* SUBDSP ACA coefficients position subroutine.
* SUBDSC ACA coefficients calculation subroutine for this 2D track.
* NR2D number of segments corresponding to regions for this 2D track.
* NMAX maximum number of segments for the 3D tracks.
* NZP number of z-planes.
* N2SOU number of external surfaces in the 2D tracking.
* N2REG number of regions in the 2D tracking.
* DELU input track spacing for 3D track reconstruction.
* INDREG region/surface index to go from the 2D to the 3D geometry.
* Z z-plan coordinates.
* VNORF normalization factors per angle.
* CMU polar angle cosines.
* CMUI inverse of polar angle cosines.
* SMU polar angle sines.
* SMUI inverse of polar angle sines.
* TMU polar angle tangents.
* TMUI inverse of polar angle tangents.
* N2TPROC number of 2D tracks corresponding to this merged track (if LTMT).
* SSYM symmetry flag.
*
*Parameters: input/output
* CQ undefined.
* CF undefined.
* DIAGQ undefined.
* DIAGF undefined.
* N3TR total number of 3D tracks generated.
* N3TRTMT total number of 3D merged tracks.
* N3SE total number of segments on the 3D tracks generated.
* N3SETMT total number of segments on the 3D merged tracks.
*
*Parameters: scratch
* PREV undefined.
* NEXT undefined.
* WORK undefined.
* NOM3D undefined.
* NOM3D0 undefined.
* H3D undefined.
* H3D0 undefined.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NFI,NREG,NLONG,M,NANGL,NMU,LC,NGEFF,IANGL,NSEG,
1 NOM2D(NSEG),NZONA(NFI),IPERM(NFI),KM(NLONG),IM(NLONG),MCU(LC),
2 NMAX,PREV(NMAX),NEXT(NMAX),NR2D,NZP,N2REG,N2SOU,
3 INDREG(-N2SOU:N2REG,0:NZP+1),NOM3D(NMAX),NOM3D0(NMAX,2),N3TR,
4 N3TRTMT,N3SE,N3SETMT,N2TPROC,SSYM
REAL ZMU(NMU),WZMU(NMU),SIGAL(-6:M,NGEFF),XSW(0:M,NGEFF),
1 DIAGQ(NLONG,NGEFF),CQ(LC,NGEFF),DELU,Z(0:NZP)
DOUBLE PRECISION W2D,DIAGF(NLONG,NGEFF),CF(LC,NGEFF),WORK(NMAX,3),
1 VNORF(NREG,NANGL,NMU,2),CMU(NMU),CMUI(NMU),SMU(NMU),SMUI(NMU),
2 TMU(NMU),TMUI(NMU),H3D(NMAX),H3D0(NMAX,2),T2D(0:NR2D)
LOGICAL LTMT
EXTERNAL SUBDS2,SUBDSP,SUBDSC
*----
* LOCAL VARIABLES
*----
INTEGER IMU,NBTR,KST,IST,ILINE,I,I1,I2,K,N3D,II,NMERG1,NMERG2,
1 N3D01,N3D02,TIN,NTR,NSE,NTPROC,N3DP
DOUBLE PRECISION CPO,CPOI,SPO,SPOI,TPO,TPOI,LTOT,DELTE,DELZE,T,
1 Z1,Z2,TP,Z1P,W3D,W3D01,W3D02,W3DPO,W3DS,WPO
LOGICAL LFORC
*
NTR=0
NSE=0
DO IMU=1,NMU
* ------------polar angle loop
NMERG1=0
NMERG2=0
LFORC=.FALSE.
CPO=CMU(IMU)
CPOI=CMUI(IMU)
SPO=SMU(IMU)
SPOI=SMUI(IMU)
TPO=TMU(IMU)
TPOI=TMUI(IMU)
WPO=WZMU(IMU)
IF (SSYM.EQ.2) GOTO 15
*---
* CONSTRUCT THE 3D TRACKS WHICH ENTER THE GEOMETRY THROUGH A BOTTOM/TOP SURFACE
*---
* length of the spatial integration interval
LTOT=T2D(NR2D)*CPO
* number of 3D tracks generated for this x-y track and this polar direction
NBTR=INT(LTOT/DELU)+1
* effective track spacing in T
DELTE=T2D(NR2D)/DBLE(NBTR)
W3DPO=W2D*DELTE*CPO
W3DS=WPO*W3DPO
T=-0.5D0*DELTE
KST=1
DO 10 ILINE=1,NBTR
T=T+DELTE
TP=T
DO WHILE (T2D(KST).LT.T)
KST=KST+1
ENDDO
K=KST
* ---
* positive polar sine track
* ---
I1=1
Z1=Z(I1-1)
TIN=0
W3D=W3DS
N3D=1
NOM3D(N3D)=INDREG(NOM2D(K+1),0)
H3D(N3D)=0.5
CALL MCGPT1(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I1,K,Z1,T,
1 TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=2,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,1)
ENDDO
IF (SSYM.EQ.1) THEN
* the top boundary condition is a surface symmetry
IF (TIN.EQ.0) THEN
* this track has encountered the top boundary -> it is reflected
N3DP=N3D
N3D=N3D-1
I1=I1-1
CALL MCGPT2(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I1,K,Z1,
1 T,TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=N3DP,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,2)
ENDDO
ENDIF
ENDIF
IF (LTMT) THEN
NTR=NTR+1
NSE=NSE+N3D
CALL MCGTMT(NMERG1,N3TRTMT,N3SETMT,N3D,N3D01,NOM3D,
1 NOM3D0(1,1),W3D,W3D01,H3D,H3D0(1,1),LFORC,NTPROC)
IF (NTPROC.EQ.0) GOTO 31
ENDIF
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
31 T=TP
IF (SSYM.EQ.1) GOTO 10
K=KST
* ---
* negative polar sine track
* ---
I2=NZP
Z2=Z(I2)
TIN=0
W3D=W3DS
N3D=1
NOM3D(N3D)=INDREG(NOM2D(K+1),NZP+1)
H3D(N3D)=0.5
CALL MCGPT2(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I2,K,Z2,T,
1 TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=2,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,2)
ENDDO
IF (LTMT) THEN
NTR=NTR+1
NSE=NSE+N3D
CALL MCGTMT(NMERG2,N3TRTMT,N3SETMT,N3D,N3D02,NOM3D,
1 NOM3D0(1,2),W3D,W3D02,H3D,H3D0(1,2),LFORC,NTPROC)
IF (NTPROC.EQ.0) GOTO 32
ENDIF
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
* ---
32 T=TP
10 CONTINUE
*---
* CONSTRUCT THE 3D TRACKS WHICH ENTER THE GEOMETRY THROUGH A LATERAL SURFACE
*---
* length of the spatial integration interval
15 LTOT=Z(NZP)*SPO
! LTOT=(Z(NZP)-Z(0))*SPO with Z(0)=0.0
* number of 3D tracks generated for this x-y track and this polar direction
NBTR=INT(LTOT/DELU)+1
* effective track spacing in Z
DELZE=Z(NZP)/DBLE(NBTR)
! DELZE=(Z(NZP)-Z(0))/DBLE(NBTR) with Z(0)=0.0
W3DPO=W2D*DELZE*SPO
W3DS=WPO*W3DPO
Z1=-0.5D0*DELZE
! Z1=Z(0)-0.5D0*DELZE with Z(0)=0.0
IST=1
DO 20 ILINE=1,NBTR
Z1=Z1+DELZE
Z1P=Z1
DO WHILE (Z(IST).LT.Z1)
IST=IST+1
ENDDO
I=IST
* ---
* positive polar sine track
* ---
K=1
T=T2D(K-1)
TIN=1
W3D=W3DS
N3D=1
N3DP=2
NOM3D(N3D)=INDREG(NOM2D(1),IST)
H3D(N3D)=0.5
21 CONTINUE
CALL MCGPT1(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I,K,Z1,T,
1 TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=N3DP,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,1)
ENDDO
IF (SSYM.GT.0) THEN
* the top boundary condition is a surface symmetry
IF (TIN.EQ.0) THEN
* this track has encountered the top boundary -> it is reflected
N3DP=N3D
N3D=N3D-1
I=I-1
CALL MCGPT2(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I,K,Z1,
1 T,TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=N3DP,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,2)
ENDDO
IF ((SSYM.EQ.2).AND.(TIN.EQ.0)) THEN
* the bottom boundary is a surface symmetry
* this track has encountered the bottom boundary -> it is reflected
N3DP=N3D
N3D=N3D-1
I=I+1
GOTO 21
ENDIF
ENDIF
ENDIF
IF (LTMT) THEN
NTR=NTR+1
NSE=NSE+N3D
IF (ILINE.EQ.NBTR) LFORC=.TRUE.
CALL MCGTMT(NMERG1,N3TRTMT,N3SETMT,N3D,N3D01,NOM3D,
1 NOM3D0(1,1),W3D,W3D01,H3D,H3D0(1,1),LFORC,NTPROC)
IF (NTPROC.EQ.0) GOTO 41
ENDIF
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
41 Z1=Z1P
I=IST
* ---
* negative polar sine track
* ---
K=1
T=T2D(K-1)
TIN=1
W3D=W3DS
N3D=1
N3DP=2
NOM3D(N3D)=INDREG(NOM2D(1),IST)
H3D(N3D)=0.5
22 CONTINUE
CALL MCGPT2(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I,K,Z1,T,
1 TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=N3DP,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,2)
ENDDO
IF (SSYM.EQ.2) THEN
* the bottom boundary is a surface symmetry
IF (TIN.EQ.0) THEN
* this track has encountered the bottom boundary -> it is reflected
N3DP=N3D
N3D=N3D-1
I=I+1
CALL MCGPT1(N2SOU,N2REG,NZP,NR2D,INDREG,Z,NOM2D,T2D,I,K,Z1,
1 T,TIN,CPOI,SPOI,TPO,TPOI,N3D,NOM3D,H3D)
DO II=N3DP,N3D-1
H3D(II)=H3D(II)*VNORF(NOM3D(II),IANGL,IMU,1)
ENDDO
IF (TIN.EQ.0) THEN
* the top boundary is a surface symmetry
* this track has encountered the top boundary -> it is reflected
N3DP=N3D
N3D=N3D-1
I=I-1
GOTO 22
ENDIF
ENDIF
ENDIF
IF (LTMT) THEN
NTR=NTR+1
NSE=NSE+N3D
CALL MCGTMT(NMERG2,N3TRTMT,N3SETMT,N3D,N3D02,NOM3D,
1 NOM3D0(1,2),W3D,W3D02,H3D,H3D0(1,2),LFORC,NTPROC)
IF (NTPROC.EQ.0) GOTO 42
ENDIF
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
* ---
42 Z1=Z1P
20 CONTINUE
IF (LTMT) THEN
* process last positive polar sine track
CALL MCGTMT(NMERG1,N3TRTMT,N3SETMT,N3D,N3D01,NOM3D,
1 NOM3D0(1,1),W3D,W3D01,H3D,H3D0(1,1),LFORC,NTPROC)
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
* process last negative polar sine track
CALL MCGTMT(NMERG2,N3TRTMT,N3SETMT,N3D,N3D02,NOM3D,
1 NOM3D0(1,2),W3D,W3D02,H3D,H3D0(1,2),LFORC,NTPROC)
NOM3D(1)=NREG-NOM3D(1)
NOM3D(N3D)=NREG-NOM3D(N3D)
DO II=1,N3D
NOM3D(II)=IPERM(NOM3D(II))
ENDDO
CALL MCGDS1(SUBDS2,SUBDSP,SUBDSC,N3D,NMU,NGEFF,W3D,
1 H3D,ZMU,WZMU,NOM3D,NZONA,NLONG,NFI,3,LC,M,KM,IM,
2 MCU,DIAGF,DIAGQ,CF,CQ,PREV,NEXT,SIGAL,XSW,WORK)
ENDIF
* ------------polar angle loop
ENDDO
*
N3TR=N3TR+N2TPROC*NTR
N3SE=N3SE+N2TPROC*NSE
RETURN
*
END
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