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algemod.f
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1238 lines (1238 loc) · 32.1 KB
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C************************* ABINRY *************************
SUBROUTINE ABINRY(VALORE,HNFORM,IPUNT,NMAX,LNINF,LNSUP,
. LPINF,LPSUP,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION HNFORM(1),IPUNT(1)
LPINF=0
LPSUP=0
LNINF=0
LNSUP=0
NI=1
NF=N
IPUNT(N+1)=NMAX
HNFORM(NMAX)=1.D10
LI=IPUNT(NI)
LF=IPUNT(NF)
IF(VALORE.LT.HNFORM(LI)) THEN
LPINF=1
LPSUP=1
LNINF=IPUNT(1)
LNSUP=IPUNT(1)
IPUNT(N+1)=0
HNFORM(NMAX)=0.D0
RETURN
ENDIF
IF(VALORE.GT.HNFORM(LF)) THEN
LPINF=N
LPSUP=N
LNINF=IPUNT(N)
LNSUP=IPUNT(N)
IPUNT(N+1)=0
HNFORM(NMAX)=0.D0
RETURN
ENDIF
NF=NF+1
5 NC=(NI+NF)/2
LC=IPUNT(NC)
IF(VALORE.EQ.HNFORM(LC)) THEN
DO 10 I=NC,NF
L=IPUNT(I)
IF(VALORE.NE.HNFORM(L)) GO TO 12
LPSUP=I
LNSUP=IPUNT(I)
10 CONTINUE
12 DO 15 I=NC,NI,-1
L=IPUNT(I)
IF(VALORE.NE.HNFORM(L)) GO TO 18
LPINF=I
LNINF=IPUNT(I)
15 CONTINUE
18 IPUNT(N+1)=0
HNFORM(NMAX)=0.D0
RETURN
ENDIF
IF((NF-NI).LE.1) THEN
LPINF=NI
LPSUP=NF
LNINF=IPUNT(NI)
LNSUP=IPUNT(NF)
IPUNT(N+1)=0
HNFORM(NMAX)=0.D0
RETURN
ENDIF
IF(VALORE.LT.HNFORM(LC)) THEN
NF=NC
ENDIF
IF(VALORE.GT.HNFORM(LC)) THEN
NI=NC
ENDIF
GOTO 5
END
C**************************************************************************
C Subroutine abinry: Contiene bug quando lavora su grigliati,
C restituisce valori di puntatori nulli!!!!!!!!
C 3 - aprile 1992
C************************* ABINRY *************************
c SUBROUTINE ABINRY(VALORE,HNFORM,IPUNT,NMAX,LNINF,LNSUP,
c . LPINF,LPSUP,N)
c IMPLICIT DOUBLE PRECISION(A-H,O-Z)
c DIMENSION HNFORM(1),IPUNT(1)
c LPINF=0
c LPSUP=0
c LNINF=0
c LNSUP=0
c NI=1
c NF=N
c IPUNT(N+1)=NMAX
c HNFORM(NMAX)=1.D10
c LI=IPUNT(NI)
c LF=IPUNT(NF)
c IF(VALORE.LT.HNFORM(LI)) THEN
c LPINF=0
c LPSUP=1
c LNINF=0
c LNSUP=IPUNT(1)
c IPUNT(N+1)=0
c HNFORM(NMAX)=0.D0
c RETURN
c ENDIF
c IF(VALORE.GT.HNFORM(LF)) THEN
c LPINF=N
c LPSUP=N+1
c LNINF=IPUNT(N)
c LNSUP=NMAX+1
c IPUNT(N+1)=0
c HNFORM(NMAX)=0.D0
c RETURN
c ENDIF
c NF=NF+1
c5 NC=(NI+NF)/2
c LC=IPUNT(NC)
c IF(VALORE.EQ.HNFORM(LC)) THEN
c DO 10 I=NC,NF
c L=IPUNT(I)
c IF(VALORE.NE.HNFORM(L)) GO TO 12
c LPSUP=I
c LNSUP=IPUNT(I)
c10 CONTINUE
c12 DO 15 I=NC,NI,-1
c L=IPUNT(I)
c IF(VALORE.NE.HNFORM(L)) GO TO 18
c LPINF=I
c LNINF=IPUNT(I)
c15 CONTINUE
c18 IPUNT(N+1)=0
c HNFORM(NMAX)=0.D0
c RETURN
c ENDIF
c IF((NF-NI).LE.1) THEN
c LPINF=NI
c LPSUP=NF
c LNINF=IPUNT(NI)
c LNSUP=IPUNT(NF)
c IPUNT(N+1)=0
c HNFORM(NMAX)=0.D0
c RETURN
c ENDIF
c IF(VALORE.LT.HNFORM(LC)) THEN
c NF=NC
c ENDIF
c IF(VALORE.GT.HNFORM(LC)) THEN
c NI=NC
c ENDIF
c GOTO 5
c END
C************************* ALGITE *************************
SUBROUTINE ALGITE(C,T,JC,LC,D,
.IC,KC,IW,IR,
.RERMAX,ITEMAX,ITE,ITER,IFINE,R,P,W,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(1),T(1),JC(1),LC(1),D(1),
.IC(1),KC(1),IW(1),IR(1),
.R(1),P(1),W(1)
IF(ITER.EQ.1) THEN
NN=LC(N+1)-1
DO 10 I=1,NN
T(I)=C(I)
10 CONTINUE
CALL TCHOLI(T,JC,LC,W,N)
ENDIF
CALL CNJGRD(C,T,JC,LC,D,RERMAX,ITEMAX,ITE,R,P,W,N)
IF(IFINE.NE.1) RETURN
CALL INVERI(T,JC,LC,IC,KC,W,IW,R,IR,P,N)
NN=LC(N+1)-1
DO 20 I=1,NN
C(I)=T(I)
20 CONTINUE
RETURN
END
C************************* WINDOW *************************
SUBROUTINE WINDOW(XC,YC,AMPX,AMPY,X,Y,IPX,IPY,LPX,LPY,
.IWD,NMAX,NWDMAX,N,NWD,ILI)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION X(1),Y(1),IPX(1),IPY(1),LPX(1),LPY(1),IWD(1)
XMI=XC-AMPX/2.D0
XMA=XC+AMPX/2.D0
YMI=YC-AMPY/2.D0
YMA=YC+AMPY/2.D0
CALL ABINRY(XMI,X,IPX,NMAX,LNI,LNS,LPI,LPS,N)
LXI=LPS
IF(XMI.EQ.X(LNI)) LXI=LPI
CALL ABINRY(XMA,X,IPX,NMAX,LNI,LNS,LPI,LPS,N)
LXS=LPI
IF(XMA.EQ.X(LNS)) LXS=LPS
CALL ABINRY(YMI,Y,IPY,NMAX,LNI,LNS,LPI,LPS,N)
LYI=LPS
IF(YMI.EQ.Y(LNI)) LYI=LPI
CALL ABINRY(YMA,Y,IPY,NMAX,LNI,LNS,LPI,LPS,N)
LYS=LPI
IF(YMA.EQ.Y(LNS)) LYS=LPS
DO 1 I=1,NWDMAX
IWD(I)=0
1 CONTINUE
NXS=LXS-LXI+1
NYS=LYS-LYI+1
J=0
IF(NXS.GE.NYS) THEN
DO 2 I=LYI,LYS
L=IPY(I)
LL=LPX(L)
IF(LL.GE.LXI.AND.LL.LE.LXS) THEN
J=J+1
IWD(J)=IPY(I)
ENDIF
2 CONTINUE
NWD=J
ELSE
DO 3 I=LXI,LXS
L=IPX(I)
LL=LPY(L)
IF(LL.GE.LYI.AND.LL.LE.LYS) THEN
J=J+1
IWD(J)=IPX(I)
ENDIF
3 CONTINUE
NWD=J
ENDIF
IF(NWD.GT.NWDMAX) THEN
IF(ILI.EQ.1) THEN
WRITE(*,100) XC,YC,AMPX,AMPY,NWD
ELSE
WRITE(*,101) XC,YC,AMPX,AMPY,NWD
ENDIF
ENDIF
RETURN
100 FORMAT(////5X,'NUMERO DEI PUNTI NELLA FINESTRA',/
. 5X,'ECCEDENTE IL DIMENSIONAMENTO PREVISTO'//
. 14X,'COORDINATE DEL CENTRO',8X,'AMPIEZZA FINESTRA',5X,
. 'NUMEROSITA'//5X,2F15.3,5X,2F10.3,5X,I10)
101 FORMAT(////5X,'NUMBER OF POINTS IN THE WINDOW',/
. 5X,'EXCEEDING THE PREVIOUS DIMENSION'//
. 10X,'COORDINATES OF THE CENTER',6X,'WIDTH OF THE WINDOW',7X,
. 'QUANTITY'//5X,2F15.3,5X,2F10.3,5X,I10)
END
C************************* POCKET *************************
SUBROUTINE POCKET(XC,YC,ZC,AMPX,AMPY,AMPZ,X,Y,Z,
. IPX,IPY,IPZ,LPX,LPY,LPZ,IWD,NMAX,NWDMAX,N,NWD,ILI)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION X(1),Y(1),Z(1),IPX(1),IPY(1),IPZ(1),
. LPX(1),LPY(1),LPZ(1),IWD(1)
XMI=XC-AMPX/2.D0
XMA=XC+AMPX/2.D0
YMI=YC-AMPY/2.D0
YMA=YC+AMPY/2.D0
ZMI=ZC-AMPZ/2.D0
ZMA=ZC+AMPZ/2.D0
CALL ABINRY(XMI,X,IPX,NMAX,LNI,LNS,LPI,LPS,N)
LXI=LPS
IF(XMI.EQ.X(LNI)) LXI=LPI
CALL ABINRY(XMA,X,IPX,NMAX,LNI,LNS,LPI,LPS,N)
LXS=LPI
IF(XMA.EQ.X(LNS)) LXS=LPS
CALL ABINRY(YMI,Y,IPY,NMAX,LNI,LNS,LPI,LPS,N)
LYI=LPS
IF(YMI.EQ.Y(LNI)) LYI=LPI
CALL ABINRY(YMA,Y,IPY,NMAX,LNI,LNS,LPI,LPS,N)
LYS=LPI
IF(YMA.EQ.Y(LNS)) LYS=LPS
CALL ABINRY(ZMI,Z,IPZ,NMAX,LNI,LNS,LPI,LPS,N)
LZI=LPS
IF(ZMI.EQ.Z(LNI)) LZI=LPI
CALL ABINRY(ZMA,Z,IPZ,NMAX,LNI,LNS,LPI,LPS,N)
LZS=LPI
IF(ZMA.EQ.Z(LNS)) LZS=LPS
DO 1 I=1,NWDMAX
IWD(I)=0
1 CONTINUE
NXS=LXS-LXI+1
NYS=LYS-LYI+1
NZS=LZS-LZI+1
J=0
IF(NXS.GE.NYS.AND.NXS.GE.NZS) THEN
IF(NZS.GE.NYS) THEN
DO 10 I=LYI,LYS
L=IPY(I)
LL=LPZ(L)
IF(LL.GE.LZI.AND.LL.LE.LZS) THEN
KK=LPX(L)
IF(KK.GE.LXI.AND.KK.LE.LXS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
10 CONTINUE
NWD=J
ELSE
DO 20 I=LZI,LZS
L=IPZ(I)
LL=LPY(L)
IF(LL.GE.LYI.AND.LL.LE.LYS) THEN
KK=LPX(L)
IF(KK.GE.LXI.AND.KK.LE.LXS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
20 CONTINUE
NWD=J
ENDIF
ENDIF
IF(NYS.GT.NXS.AND.NYS.GE.NZS) THEN
IF(NZS.GE.NXS) THEN
DO 30 I=LXI,LXS
L=IPX(I)
LL=LPZ(L)
IF(LL.GE.LZI.AND.LL.LE.LZS) THEN
KK=LPY(L)
IF(KK.GE.LYI.AND.KK.LE.LYS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
30 CONTINUE
NWD=J
ELSE
DO 40 I=LZI,LZS
L=IPZ(I)
LL=LPX(L)
IF(LL.GE.LXI.AND.LL.LE.LXS) THEN
KK=LPY(L)
IF(KK.GE.LYI.AND.KK.LE.LYS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
40 CONTINUE
NWD=J
ENDIF
ENDIF
IF(NZS.GT.NXS.AND.NZS.GT.NYS) THEN
IF(NYS.GE.NXS) THEN
DO 50 I=LXI,LXS
L=IPX(I)
LL=LPY(L)
IF(LL.GE.LYI.AND.LL.LE.LYS) THEN
KK=LPZ(L)
IF(KK.GE.LZI.AND.KK.LE.LZS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
50 CONTINUE
NWD=J
ELSE
DO 60 I=LYI,LYS
L=IPY(I)
LL=LPX(L)
IF(LL.GE.LXI.AND.LL.LE.LXS) THEN
KK=LPZ(L)
IF(KK.GE.LZI.AND.KK.LE.LZS) THEN
J=J+1
IWD(J)=L
ENDIF
ENDIF
60 CONTINUE
NWD=J
ENDIF
ENDIF
IF(NWD.GT.NWDMAX) THEN
IF(ILI.EQ.1) THEN
WRITE(*,100) XC,YC,ZC,AMPX,AMPY,AMPZ,NWD
ELSE
WRITE(*,101) XC,YC,ZC,AMPX,AMPY,AMPZ,NWD
ENDIF
ENDIF
RETURN
100 FORMAT(////5X,'NUMERO DEI PUNTI NELLA FINESTRA',/
. 5X,'ECCEDENTE IL DIMENSIONAMENTO PREVISTO'//
. 29X,'COORDINATE DEL CENTRO',18X,'AMPIEZZA FINESTRA',5X,
. 'NUMEROSITA'//5X,3F15.3,5X,3F10.3,5X,I10)
101 FORMAT(////5X,'NUMBER OF POINTS IN THE POCKET',/
. 5X,'EXCEEDING THE PREVIOUS DIMENSION'//
. 25X,'COORDINATES OF THE CENTER',16X,'WIDTH OF THE POCKET',7X,
. 'QUANTITY'//5X,3F15.3,5X,3F10.3,5X,I10)
END
C************************* BIORDA *************************
SUBROUTINE BIORDA(X,Y,IPX,IPY,LPX,LPY,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION X(1),Y(1),IPX(1),IPY(1),LPX(1),LPY(1)
CALL ORDINA(X,IPX,N,1)
CALL ORDINA(Y,IPY,N,1)
CALL PUNTA(IPX,LPX,0,1,N,N)
CALL PUNTA(IPY,LPY,0,1,N,N)
RETURN
ENTRY RBORDA(X,Y,IPX,IPY,LPX,LPY,N,NN)
CALL RIORDA(X,IPX,N,NN,1)
CALL RIORDA(Y,IPY,N,NN,1)
CALL PUNTA(IPX,LPX,0,1,N,NN)
CALL PUNTA(IPY,LPY,0,1,N,NN)
RETURN
END
C************************* TIORDA *************************
SUBROUTINE TIORDA(X,Y,Z,IPX,IPY,IPZ,LPX,LPY,LPZ,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION X(1),Y(1),Z(1),IPX(1),IPY(1),IPZ(1),
. LPX(1),LPY(1),LPZ(1)
CALL ORDINA(X,IPX,N,1)
CALL ORDINA(Y,IPY,N,1)
CALL ORDINA(Z,IPZ,N,1)
CALL PUNTA(IPX,LPX,0,1,N,N)
CALL PUNTA(IPY,LPY,0,1,N,N)
CALL PUNTA(IPZ,LPZ,0,1,N,N)
RETURN
ENTRY RTORDA(X,Y,Z,IPX,IPY,IPZ,LPX,LPY,LPZ,N,NN)
CALL RIORDA(X,IPX,N,NN,1)
CALL RIORDA(Y,IPY,N,NN,1)
CALL RIORDA(Z,IPZ,N,NN,1)
CALL PUNTA(IPX,LPX,0,1,N,NN)
CALL PUNTA(IPY,LPY,0,1,N,NN)
CALL PUNTA(IPZ,LPZ,0,1,N,NN)
RETURN
END
C************************* CNJGRD *************************
SUBROUTINE CNJGRD(C,T,JC,LC,D,RERMAX,ITEMAX,ITE,R,P,W,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(1),T(1),JC(1),LC(1),D(1),R(1),P(1),W(1)
DO 10 I=1,N
R(I)=-D(I)
P(I)=R(I)
10 CONTINUE
CALL SOLSI(T,JC,LC,P,N)
S=0.D0
DO 20 I=1,N
S=S+R(I)*P(I)
D(I)=0.D0
20 CONTINUE
RTR=S
ITE=0
30 RMAX=0.D0
DMAX=0.D0
DO 40 I=1,N
RMAX=DMAX1(RMAX,DABS(R(I)))
DMAX=DMAX1(DMAX,DABS(D(I)))
40 CONTINUE
IF(RMAX.LE.DMAX*RERMAX.OR.ITE.GE.ITEMAX) RETURN
ITE=ITE+1
CALL PMATI(C,JC,LC,P,W,N)
S=0.D0
DO 50 I=1,N
S=S+P(I)*W(I)
50 CONTINUE
PTCP=S
ALFA=RTR/PTCP
DO 60 I=1,N
D(I)=D(I)+ALFA*P(I)
R(I)=R(I)-ALFA*W(I)
W(I)=R(I)
60 CONTINUE
CALL SOLSI(T,JC,LC,W,N)
S=0.D0
DO 70 I=1,N
S=S+R(I)*W(I)
70 CONTINUE
BETA=S/RTR
RTR=S
DO 80 I=1,N
P(I)=W(I)+BETA*P(I)
80 CONTINUE
GO TO 30
END
SUBROUTINE SOLSI(T,JC,LC,D,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION T(1),JC(1),LC(1),D(1)
DO 20 I=1,N
I1=LC(I)
I2=LC(I+1)-2
S=D(I)
IF(I1.LE.I2) THEN
DO 10 JS=I1,I2
J=JC(JS)
S=S-T(JS)*D(J)
10 CONTINUE
ENDIF
I2=I2+1
D(I)=S/T(I2)
20 CONTINUE
DO 30 I=1,N
IS=LC(I+1)-1
D(I)=D(I)*T(IS)
30 CONTINUE
DO 50 I=N,1,-1
I1=LC(I)
I2=LC(I+1)-1
D(I)=D(I)/T(I2)
I2=I2-1
IF(I1.LE.I2) THEN
DS=D(I)
DO 40 JS=I2,I1,-1
J=JC(JS)
D(J)=D(J)-T(JS)*DS
40 CONTINUE
ENDIF
50 CONTINUE
RETURN
END
SUBROUTINE PMATI(C,JC,LC,P,W,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(1),JC(1),LC(1),P(1),W(1)
DO 20 I=1,N
I1=LC(I)
I2=LC(I+1)-1
S=0.D0
DO 10 JS=I1,I2
J=JC(JS)
S=S+C(JS)*P(J)
10 CONTINUE
W(I)=S
20 CONTINUE
DO 40 I=N,1,-1
I1=LC(I)
I2=LC(I+1)-2
IF(I1.LE.I2) THEN
PS=P(I)
DO 30 JS=I2,I1,-1
J=JC(JS)
W(J)=W(J)+C(JS)*PS
30 CONTINUE
ENDIF
40 CONTINUE
RETURN
END
C************************* DQVV *************************
SUBROUTINE DQVV(A,C,P,MMAX,NMAX,M,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION A(MMAX,1),C(NMAX,1),P(1)
DO 10 K=1,M
T=0.D0
DO 8 I=1,N
S=0.D0
DO 5 J=I,N
S=S+C(I,J)*A(K,J)
5 CONTINUE
T=T+2.D0*A(K,I)*S-C(I,I)*A(K,I)**2
8 CONTINUE
P(K)=1.D0/P(K)-T
10 CONTINUE
RETURN
END
C************************* DQVVB *************************
SUBROUTINE DQVVB(A,IA,KA,C,P,MMAX,NMAX,M)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION A(MMAX,1),IA(MMAX,1),KA(1),C(NMAX,1),P(1)
DO 10 K=1,M
T=0.D0
L=KA(K)
DO 8 IS=1,L
S=0.D0
I=IA(K,IS)
DO 5 JS=IS,L
J=IA(K,JS)
II=MIN0(I,J)
JJ=I+J-II
S=S+C(II,JJ-II+1)*A(K,JS)
5 CONTINUE
T=T+2.D0*A(K,IS)*S-C(I,1)*A(K,IS)**2
8 CONTINUE
P(K)=1.D0/P(K)-T
10 CONTINUE
RETURN
END
C************************* DQVVI *************************
SUBROUTINE DQVVI(A,IA,KA,C,IC,JC,KC,P,W,MMAX,M)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION A(MMAX,1),IA(MMAX,1),KA(1),C(1),JC(1),KC(1),IC(1),
.W(1),P(1)
DO 10 K=1,M
T=0.D0
L=KA(K)
DO 8 IS=1,L
S=0.D0
I=IA(K,IS)
I1=KC(I)+1
I2=KC(I+1)
DO 2 JSS=I1,I2
JS=IC(JSS)
J=JC(JS)
W(J)=C(JS)
2 CONTINUE
DO 5 JS=1,L
J=IA(K,JS)
IF(J.LT.I) GO TO 5
S=S+W(J)*A(K,JS)
5 CONTINUE
T=T+2.D0*A(K,IS)*S-W(I)*A(K,IS)**2
8 CONTINUE
P(K)=1.D0/P(K)-T
10 CONTINUE
RETURN
END
C************************* FMAT *************************
FUNCTION FMAT(IMAX,C,W,NMAX,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(NMAX,1),W(1)
DO 10 I=1,N
W(I)=0.D0
10 CONTINUE
DO 20 I=1,N-1
W(I)=W(I)+C(I,I)
DO 20 J=I+1,N
W(I)=W(I)+DABS(C(I,J))
W(J)=W(J)+DABS(C(I,J))
20 CONTINUE
W(N)=W(N)+C(N,N)
IMAX=0
WMAX=0.D0
DO 30 I=1,N
IF(WMAX.LT.W(I))THEN
IMAX=I
WMAX=W(I)
ENDIF
30 CONTINUE
FMAT=WMAX
RETURN
END
C************************* FMATB *************************
FUNCTION FMATB(IMAX,C,W,NMAX,N,NB)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(NMAX,1),W(1)
DO 10 I=1,N
W(I)=0.D0
10 CONTINUE
DO 20 I=1,N-1
W(I)=W(I)+C(I,1)
L=I-1+NB
L=MIN0(L,N)
DO 20 J=I+1,L
W(I)=W(I)+DABS(C(I,J-I+1))
W(J)=W(J)+DABS(C(I,J-I+1))
20 CONTINUE
W(N)=W(N)+C(N,1)
IMAX=0
WMAX=0.D0
DO 30 I=1,N
IF(WMAX.LT.W(I))THEN
IMAX=I
WMAX=W(I)
ENDIF
30 CONTINUE
FMATB=WMAX
RETURN
END
C************************* FMATI *************************
FUNCTION FMATI1(IMAX,C,JC,LC,W,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(1),JC(1),LC(1),W(1)
DO 10 I=1,N
W(I)=0.D0
10 CONTINUE
W(1)=C(1)
DO 20 I=2,N
IS=LC(I+1)-1
W(I)=W(I)+C(IS)
INI=LC(I)
IFI=IS-1
IF(IFI.GE.INI) THEN
DO 15 JS=INI,IFI
J=JC(JS)
W(I)=W(I)+DABS(C(JS))
W(J)=W(J)+DABS(C(JS))
15 CONTINUE
ENDIF
20 CONTINUE
IMAX=0
WMAX=0.D0
DO 30 I=1,N
IF(WMAX.LT.W(I))THEN
IMAX=I
WMAX=W(I)
ENDIF
30 CONTINUE
FMATI1=WMAX
RETURN
END
FUNCTION FMATI2(IMAX,C,IC,JC,KC,W,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION C(1),IC(1),JC(1),KC(1),W(1)
DO 40 I=1,N
W(I)=0.D0
40 CONTINUE
DO 50 I=1,N-1
ISS=KC(I)+1
IS=IC(ISS)
W(I)=W(I)+C(IS)
INI=ISS+1
IFI=KC(I+1)
IF(IFI.GE.INI) THEN
DO 45 JSS=INI,IFI
JS=IC(JSS)
J=JC(JS)
W(I)=W(I)+DABS(C(JS))
W(J)=W(J)+DABS(C(JS))
45 CONTINUE
ENDIF
50 CONTINUE
NNS=KC(N)+1
NS=IC(NNS)
W(N)=W(N)+C(NS)
IMAX=0
WMAX=0.D0
DO 60 I=1,N
IF(WMAX.LT.W(I))THEN
IMAX=I
WMAX=W(I)
ENDIF
60 CONTINUE
FMATI2=WMAX
RETURN
END
C************************* INVER *************************
SUBROUTINE INVER(C,W,NMAX,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION C(NMAX,1),W(1)
DO 70 I=N,1,-1
L=I+1
IF(I.EQ.N) GO TO 40
DO 30 J=N,L,-1
S=0.D0
DO 20 K=N,L,-1
IF(J.LT.K) GO TO 10
S=S+C(I,K)*C(K,J)
GO TO 20
10 S=S+C(I,K)*C(J,K)
20 CONTINUE
W(J)=-S/C(I,I)
30 CONTINUE
40 S=0.D0
IF(I.EQ.N) GO TO 65
DO 50 K=N,L,-1
S=S+C(I,K)*W(K)
50 CONTINUE
DO 60 J=N,L,-1
C(I,J)=W(J)
60 CONTINUE
65 C(I,I)=(1.D0/C(I,I)-S)/C(I,I)
70 CONTINUE
RETURN
END
C************************* INVERB *************************
SUBROUTINE INVERB(C,W,NMAX,N,NB)
c VIRTUAL (ALL)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION C(NMAX,1),W(1)
DO 70 I=N,1,-1
L=I+1
MINO=MIN0(N,I+NB-1)
IF(I.EQ.N) GO TO 40
IF(MINO.LT.L) GO TO 40
DO 30 J=MINO,L,-1
S=0.D0
DO 20 K=MINO,L,-1
IF(J.LT.K) GO TO 10
S=S+C(I,K-I+1)*C(K,J-K+1)
GO TO 20
10 S=S+C(I,K-I+1)*C(J,K-J+1)
20 CONTINUE
W(J)=-S/C(I,1)
30 CONTINUE
40 S=0.D0
IF(I.EQ.N) GO TO 65
IF(MINO.LT.L) GO TO 65
DO 50 K=MINO,L,-1
S=S+C(I,K-I+1)*W(K)
50 CONTINUE
DO 60 J=MINO,L,-1
C(I,J-I+1)=W(J)
60 CONTINUE
65 C(I,1)=(1.D0/C(I,1)-S)/C(I,1)
70 CONTINUE
RETURN
END
C************************* INVERI *************************
SUBROUTINE INVERI(T,JC,LC,IC,KC,W,IW,R,IR,Q,N)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
DIMENSION T(1),JC(1),LC(1),IC(1),KC(1),
.W(1),IW(1),R(1),IR(1),Q(1)
NN=LC(N+1)-1
T(NN)=1.D0/T(NN)
CALL CLASSI(JC,KC,IC,NN,N)
DO 10 I=1,N
W(I)=0.D0
R(I)=0.D0
Q(I)=0.D0
I1=LC(I)
I2=LC(I+1)-1
DO 10 JS=I1,I2
JC(JS)=I
10 CONTINUE
DO 80 I=N-1,1,-1
I1=KC(I)+1
I2=KC(I+1)
IS=IC(I1)
TT=T(IS)
QQ=0.D0
I1=I1+1
IF(I1.LE.I2) THEN
KK=0
DO 20 KS=I1,I2
JS=IC(KS)
J=JC(JS)
KK=KK+1
IR(KK)=J
R(J)=T(JS)
20 CONTINUE
K=0
JJ=0
DO 50 KS=I1,I2
K=K+1
J=IR(K)
J1=KC(J)+1
J2=KC(J+1)
LL=0
DO 30 LSS=J1,J2
LS=IC(LSS)
L=JC(LS)
LL=LL+1
IW(LL)=L
W(L)=T(LS)
30 CONTINUE
JJ=MAX0(JJ,L)
RR=R(J)
S=0.D0
DO 40 LS=1,LL
L=IW(LS)
S=S+R(L)*W(L)
Q(L)=Q(L)+RR*W(L)
40 CONTINUE
JS=IC(KS)
T(JS)=-(Q(J)-RR*W(J)+S)/TT
QQ=QQ+RR*T(JS)
DO 50 LS=1,LL
L=IW(LS)
W(L)=0.D0
50 CONTINUE
DO 60 KS=1,KK
J=IR(KS)
R(J)=0.D0
60 CONTINUE
DO 70 J=I,JJ
Q(J)=0.D0
70 CONTINUE
ENDIF
T(IS)=(1.D0-QQ)/TT
80 CONTINUE
RETURN
END
C************************* NORMAB *************************
SUBROUTINE NORMAB(A,IA,KA,B,P,C,D,MMAX,NMAX,NBMAX,M,N,NB)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION A(MMAX,1),IA(MMAX,1),KA(1),B(1),P(1),C(NMAX,1),D(1)
NB=0
DO 5 I=1,N
DO 5 J=1,NBMAX
C(I,J)=0.D0
5 CONTINUE
DO 10 K=1,M
L=KA(K)
DO 10 I=1,L
L1=IA(K,I)
DO 10 J=I,L
L2=IA(K,J)
LC=MIN0(L1,L2)
LD=IABS(L2-L1)
NB=MAX0(NB,LD+1)
IF(NB.GT.NBMAX) GO TO 30
C(LC,LD+1)=C(LC,LD+1)+A(K,I)*P(K)*A(K,J)
10 CONTINUE
GO TO 12
ENTRY NORTNB(A,IA,KA,B,P,D,MMAX,M,N)
12 DO 15 I=1,N
D(I)=0.D0
15 CONTINUE
DO 20 K=1,M
L=KA(K)
DO 20 I=1,L
L1=IA(K,I)
D(L1)=D(L1)+A(K,I)*P(K)*B(K)
20 CONTINUE
RETURN
30 ILI=KA(M+1)
IF(ILI.EQ.1) THEN
WRITE(6,100) K
ELSE
WRITE(6,101) K
ENDIF
STOP
100 FORMAT(///,5X,'MATRICE NON RIDUCIBILE IN BANDA - EQUAZIONE',I5,///
.)
101 FORMAT(///,5X,'MATRIX NOT STORED IN BANDWIDTH TYPE - EQUATION',I5,
.///)
END
C************************* NORMAI *************************
SUBROUTINE NORMAI(A,IA,KA,JA,LA,IB,JB,B,P,C,JC,LC,D,W,
.INFORM,MMAX,M,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION A(MMAX,1),IA(MMAX,1),KA(1),JA(1),LA(1),IB(1),JB(1),
.B(1),P(1),C(1),JC(1),LC(1),D(1),W(1),INFORM(1)
CALL BANDA(IA,KA,IB,JB,MMAX,M,N,IT,JT,LB)
CALL TRASPS (IA,KA,LA,JA,MMAX,M,N)
JMIN=0
JMAX=0
DO 1 I=1,N
INFORM(I)=0
W(I)=0.D0
1 CONTINUE
KONT=0
LC(1)=1
DO 40 I=1,N
L1=LA(I)+1
L2=LA(I+1)
IF(L1.LE.L2) THEN
JMIN=I-IB(I)
JMAX=I+JB(I)
DO 20 KS=L1,L2
K=JA(KS)
LL=KA(K)
DO 10 L=1,LL
J=IA(K,L)
INFORM(J)=L
10 CONTINUE
II=INFORM(I)
DO 20 L=1,LL
J=IA(K,L)
W(J)=W(J)+A(K,II)*P(K)*A(K,L)
20 CONTINUE
DO 30 J=JMIN,I
IF(INFORM(J).EQ.0) GOTO 30
KONT=KONT+1
JC(KONT)=J
C(KONT)=W(J)
30 CONTINUE
LC(I+1)=KONT+1
DO 35 J=JMIN,JMAX
INFORM(J)=0
W(J)=0.D0
35 CONTINUE
ELSE
KONT=KONT+1
JC(KONT)=I
LC(I+1)=KONT+1
ENDIF
40 CONTINUE
GOTO 50
ENTRY NORTNI(A,IA,KA,B,P,D,MMAX,M,N)
50 DO 60 I=1,N
D(I)=0.D0
60 CONTINUE
DO 70 K=1,M
LL=KA(K)
DO 70 L=1,LL
I=IA(K,L)
D(I)=D(I)+A(K,L)*P(K)*B(K)
70 CONTINUE
RETURN
END
C************************* NORMAL *************************
SUBROUTINE NORMAL(A,B,P,C,D,MMAX,NMAX,M,N)
IMPLICIT DOUBLE PRECISION(A-H,O-Z)
DIMENSION A(MMAX,1),B(1),P(1),C(NMAX,1),D(1)
DO 5 I=1,N
DO 5 J=I,N
C(I,J)=0.D0
DO 5 K=1,M
C(I,J)=C(I,J)+A(K,I)*P(K)*A(K,J)
5 CONTINUE
GO TO 8
ENTRY NORTN(A,B,P,D,M,N)
8 DO 10 I=1,N
D(I)=0.D0
DO 10 K=1,M
D(I)=D(I)+A(K,I)*P(K)*B(K)
10 CONTINUE
RETURN
END
C************************* ORDINA *************************
SUBROUTINE ORDINA(HNFORM,IPUNT,N,ISGN)
DOUBLE PRECISION HNFORM
DIMENSION HNFORM(1),IPUNT(1)
NS=N
DO 1 I=1,N
IPUNT(I)=I
1 CONTINUE
GO TO 2
ENTRY RIORDA(HNFORM,IPUNT,N,NN,ISGN)
NS=NN
2 IF(N.EQ.1) RETURN
IF(ISGN.NE.1) THEN
DO 5 I=1,N
J=IPUNT(I)
HNFORM(J)=ISGN*HNFORM(J)
5 CONTINUE
ENDIF
NM1=N-1
K=0
DO 8 I=1,NM1
J1=IPUNT(I)
J2=IPUNT(I+1)
IF(HNFORM(J1).GT.HNFORM(J2)) K=K+1
8 CONTINUE
IF(K.GT.NM1/2) THEN
N2=N/2
DO 10 I=1,N2