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SUBROUTINE SOLVE
C
C SOLVE IS A DMAP DRIVER TO SOLVE THE MATRIX EQUATION AX=B
C
C SOLVE A,B/X/SYM/SIGN/PREC/TYPE $
C
C SYM = 1 - USE SYMETRIC DECOMPOSITION
C 0 - CHOOSE WHICH DECOMPOSITION BASED ON INPUT MATRIX
C -1 - USE UNSYMETRIC DECOMPOSITION
C ISIGN = 1 SOLVE AX = B
C -1 SOLVE AX =-B
C IPREC = PRECISION USED IN THE FBS PASS
C ITYPE = DESIRED TYPE OF THE OUTPUT MATRIX X
C
C
INTEGER NAME(2) ,RECT ,A ,B ,
1 CDP ,RDP ,SYM ,SQR ,
2 DOSI(3) ,REFUS(3) ,OUTPT ,X
REAL ZZ(1) ,ZZZ(1) ,ZZZZ(1) ,ZZZZZ(1)
DOUBLE PRECISION DET ,DETT ,MINDIA ,CDET ,
1 CMNDIA ,DETC ,MINDS
CHARACTER UFM*23 ,UWM*25 ,UIM*29 ,SFM*25 ,
1 SWM*27
COMMON /XMSSG / UFM ,UWM ,UIM ,SFM ,
1 SWM
COMMON /BLANK / ISYM ,KSIGN ,IPREC ,ITYPE
COMMON /SYSTEM/ KSYSTM(65)
COMMON /SFACT / IFILA(7) ,IFILL1(7),IFILC(7) ,ISCR11 ,
1 ISCR22 ,NZ ,DET ,DETC ,
2 IPOWER ,ISCR33 ,MINDS ,ICHOL
COMMON /FBSX / IFILL(7) ,IFILLT(7),IFILB(7) ,IFILX(7) ,
1 NX ,IPREC1 ,ISIGN1 ,ISCR
COMMON /DCOMPX/ IA(7) ,IL(7) ,IU(7) ,ISR1 ,
1 ISR2 ,ISR3 ,DETT ,IPOW ,
2 NZZ ,MINDIA ,IB ,IBBAR
COMMON /CDCMPX/ JA(7) ,KL(7) ,KU(7) ,JSCR1 ,
1 JSCR2 ,JSCR3 ,CDET(2) ,JPOW ,
2 NZZZZ ,CMNDIA ,JBB ,JBBAR
COMMON /GFBSX / JL(7) ,JU(7) ,JB(7) ,JX(7) ,
1 NZZZ ,IPR ,ISGN
COMMON /NAMES / RD ,RDREW ,WRT ,WRTREW ,
1 REW ,NOREW ,EOFNRW ,RSP ,
2 RDP ,CSP ,CDP ,SQR ,
3 RECT ,DIAG ,LOWER ,UPPER ,
4 SYM ,ROW ,IDENTY
COMMON /ZZZZZZ/ Z(1)
EQUIVALENCE (ZZ(1),Z(1))
EQUIVALENCE (ZZZ(1),Z(1))
EQUIVALENCE (ZZZZ(1),Z(1))
EQUIVALENCE (ZZZZZ(1),Z(1))
EQUIVALENCE (KSYSTM(55),KPREC) ,(KSYSTM(2),OUTPT)
DATA A,B,X / 101,102,201/, NAME / 4HSOLV,4HE /
DATA ISCR1 , ISCR2,ISCR3,ISCR4,ISCR5 /
1 301 , 302 ,303 ,304 ,305 /
DATA DOSI / 4HSING , 4HDOUB , 4HMLTP/,
1 REFUS / 2*3H , 3HREF /
C
C
JA(1) = A
CALL RDTRL (JA)
C
IFORM = JA(4)
IF (ISYM) 1,5,3
1 IF (IFORM .EQ. SYM) WRITE (OUTPT,2) UWM,NAME
2 FORMAT (A25,' 2340, MODULE ',2A4,' HAS BEEN REQUESTED TO DO ',
1 'UNSYMETRIC DECOMPOSITION OF A SYMETRIC MATRIX.')
IFORM = RECT
IF (JA(2) .EQ. JA(3)) IFORM = SQR
GO TO 5
3 IF (JA(2).EQ.JA(3) .AND. IFORM.NE.SYM) WRITE (OUTPT,4) SWM,NAME
4 FORMAT (A27,' 2341, MODULE ',2A4,' HAS BEEN FURNISHED A SQUARE ',
1 'MATRIX MARKED UNSYMETRIC FOR SYMETRIC DECOMPOSITION.')
IFORM = SYM
5 ISYM = -1
IF (IFORM .EQ. SYM) ISYM = 1
JA(4) = IFORM
IF (ISYM .LT. 0) GO TO 30
C
C SET UP CALL TO SDCOMP AND FBS
C
INDEX = 1
ICHOL = 0
DO 9 I = 1,7
9 IFILA(I) = JA(I)
N = IFILA(2)
IFILL1(1) = ISCR1
IFILC(1) = ISCR2
ISCR11 = ISCR3
ISCR22 = ISCR4
ISCR33 = ISCR5
NZ = KORSZ(Z)
IFILL1(5) = IFILA(5)
CALL SDCOMP (*20,Z,Z,Z)
IFILL1(3) = IFILL1(2)
IFILL1(4) = LOWER
CALL WRTTRL (IFILL1)
IFILL(1) = ISCR1
CALL RDTRL (IFILL)
IFILB(1) = B
CALL RDTRL (IFILB)
C
C IF THE B MATRIX IS PURGED, ASSUME AN IDENTITY MATRIX IN ITS PLACE
C
IF (IFILB(1) .LE. 0) CALL MAKMCB (IFILB,B,N,IDENTY,JA(5))
ISIGN1 = KSIGN
IA5 = IFILA(5)
IB5 = IFILB(5)
C
C DETERMINE THE PRECISION FOR THE CALCULATIONS
C AND THE TYPE OF THE OUTPUT MATRIX
C
200 IPREC1 = KPREC
IF ((IA5.GT.0 .AND. IA5.LE.4) .OR. (IB5.GT.0 .AND. IB5.LE.4))
1 IPREC1 = 1
IF (IA5.EQ.2 .OR. IA5.EQ.4 .OR. IB5.EQ.2 .OR. IB5.EQ.4) IPREC1 = 2
IF (IPREC.EQ.IPREC1 .OR. IPREC.EQ.0) GO TO 222
IF (IPREC.LT.1 .OR. IPREC.GT.2) IPREC = 3
WRITE (OUTPT,221) SWM,DOSI(IPREC),REFUS(IPREC),NAME,DOSI(IPREC1)
221 FORMAT (A27,' 2163, REQUESTED ',A4,'LE PRECISION ',A3,'USED BY ',
1 2A4,2H. ,A4,'LE PRECISION IS LOGICAL CHOICE')
IF (IPREC .NE. 3 ) IPREC1 = IPREC
222 IPREC = IPREC1
LTYPE = IPREC1
IF (IA5.EQ.3 .OR. IA5.EQ.4 .OR. IB5.EQ.3 .OR. IB5.EQ.4)
1 LTYPE = IPREC1 + 2
IF (ITYPE.EQ.0 .OR. ITYPE.EQ.LTYPE) GO TO 224
JJ = 1
IF (ITYPE.LT.1 .OR. ITYPE.GT.4 ) JJ = 3
WRITE (OUTPT,223) SFM,ITYPE,REFUS(JJ),NAME,LTYPE
223 FORMAT (A27,' 2164, REQUESTED TYPE ',I4,2H, ,A3,'USED BY ',2A4,
1 '. TYPE ',I4,' IS LOGICAL CHOICE.')
IF (JJ .NE. 3 ) LTYPE = ITYPE
224 ITYPE = LTYPE
IF (INDEX .EQ. 2) GO TO 45
C
C DEFINE THE MATRIX CONTROL BLOCK FOR THE OUTPUT MATRIX
C
CALL MAKMCB (IFILX,X,N,RECT,ITYPE)
NX = KORSZ(ZZ)
IF (IFILB(4) .EQ. IDENTY) IFILB(5) = IPREC
ISCR = ISCR1
CALL FBS (ZZ,ZZ)
IF (IFILX(2) .EQ. N) IFILX(4) = SQR
CALL WRTTRL (IFILX)
RETURN
C
20 NO = ISIGN(5,ISYM)
ISYM = -1
CALL MESAGE (NO,A,NAME)
C
C SET UP THE CALL TO DECOMP AND GFBS
C
30 CONTINUE
INDEX = 2
IF (JA(5) .GT. 2) GO TO 80
IA(1) = A
IL(1) = ISCR1
IU(1) = ISCR2
ISR1 = ISCR3
ISR3 = ISCR5
ISR2 = ISCR4
NZZ = KORSZ(ZZZ)
CALL RDTRL (IA)
IA(4) = SQR
N = IA(2)
IL(5) = JA(5)
IB = 0
IBBAR = 0
CALL DECOMP (*20,ZZZ,ZZZ,ZZZ)
DO 35 I = 1,7
JL(I) = IL(I)
JU(I) = IU(I)
35 CONTINUE
40 JB(1) = B
CALL RDTRL (JB)
C
C IF THE B MATRIX IS PURGED, ASSUME AN IDENTITY MATRIX IN ITS PLACE
C
IF (JB(1) .LE. 0) CALL MAKMCB (JB,B,N,IDENTY,JA(5))
IA5 = JA(5)
IB5 = JB(5)
ISGN = KSIGN
C
C DETERMINE THE PRECISION FOR THE CALCULATIONS
C AND THE TYPE OF THE OUTPUT MATRIX
C
GO TO 200
45 IPR = IPREC
C
C DEFINE THE MATRIX CONTROL BLOCK FOR THE OUTPUT MATRIX
C
CALL MAKMCB (JX,X,N,RECT,ITYPE)
NZZZ = KORSZ(ZZZZ)
IF (JB(4) .EQ. IDENTY) JB(5) = IPREC
CALL GFBS (ZZZZ,ZZZZ)
IF (JX(2) .EQ. N) JX(4) = SQR
CALL WRTTRL (JX)
RETURN
C
C SET UP CALL TO CDCOMP AND GFBS
C
80 CONTINUE
KL(1) = ISCR1
KU(1) = ISCR2
JSCR1 = ISCR3
JSCR2 = ISCR4
JSCR3 = ISCR5
NZZZZ = KORSZ(ZZZZZ)
JA(4) = SQR
N = JA(2)
KL(5) = JA(5)
JBB = 0
JBBAR = 0
CALL CDCOMP (*20,ZZZZZ,ZZZZZ,ZZZZZ)
DO 90 I = 1, 7
JL(I) = KL(I)
JU(I) = KU(I)
90 CONTINUE
GO TO 40
END
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