File: normal.f

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      SUBROUTINE NORMAL
C
C     THIS IS THE DRIVER FOR THE NORM MODULE.
C
C     NORM        INMAT/OUTMAT/S,N,NCOL/S,N,NROW/S,N,XNORM/V,Y,IOPT $
C
C     DEPENDING ON THE VALUE OF IOPT, THIS MODULE PERFORMS THE
C     FOLLOWING FUNCTIONS --
C
C     IOPT = 'MAX'
C                 NORM GENERATES A MATRIX.  EACH COLUMN OF THIS OUTPUT
C                 MATRIX REPRESENTS A COLUMN OF THE INPUT MATRIX
C                 NORMALIZED BY ITS LARGEST ROW ELEMENT. (DEFAULT)
C
C     IOPT = 'SRSS'
C                 NORM GENERATES A COLUMN VECTOR.  EACH ELEMENT OF THIS
C                 VECTOR REPRESENTS THE SQUARE ROOT OF THE SUM OF THE
C                 SQUARES (SRSS) OF THE CORRESPONDING ROW OF THE INPUT
C                 MATRIX.
C
C
C
C     INPUT DATA BLOCK --
C
C     INMAT     - ANY MATRIX
C
C     OUTPUT DATA BLOCK --
C
C     OUTMAT    - OUTPUT MATRIX GENERATED AS DESCRIBED BELOW
C
C     PARAMETERS --
C
C     NCOL      - NO. OF COLUMNS OF THE INPUT MATRIX (OUTPUT/INTEGER)
C
C     NROW      - NO. OF ROWS OF THE INPUT MATRIX (OUTPUT/INTEGER)
C
C     XNORM     - MAX. NORMALIZING OR SRSS VALUE, DEPENDING UPON THE
C                 IOPT VALUE SPECIFIED (OUTPUT/REAL)
C     IOPT      - OPTION INDICATING WHETHER EACH COLUMN OF THE INPUT
C                 MATRIX IS TO BE NORMALIZED BY THE MAXIMUM ROW ELEMENT
C                 IN THAT COLUMN OR WHETHER THE SRSS VALUE FOR EACH ROW
C                 OF THE INPUT MATRIX IS TO BE COMPUTED (INPUT/BCD)
C
C     THIS MODULE DEVELOPED BY P. R. PAMIDI OF RPK CORPORATION,
C     MARCH 1988
C
      DIMENSION        MCB(7), Z(1)   , ISUBNM(2)
      DOUBLE PRECISION DXMAX , ZD(1)  , DZERO
      CHARACTER        UFM*23
      COMMON /XMSSG /  UFM
      COMMON /BLANK /  NCOL   , NROW   , XXMAX , IOPT(2)
      COMMON /PACKX /  IPKOT1 , IPKOT2 , IP1   , IP2   , INCRP
      COMMON /SYSTEM/  ISYSBF , NOUT
      COMMON /TYPE  /  IPRC(2), NWDS(4), IRC(4)
      COMMON /UNPAKX/  IUNOUT , IU1    , IU2   , INCRU
      COMMON /ZZZZZZ/  IZ(1)
      EQUIVALENCE      (IZ(1),Z(1),ZD(1)), (IOPT1,IOPT(1))
      DATA    MATIN ,  MATOUT / 101, 201/
      DATA    ISUBNM,           MAX     , ISRSS , IBLNK  , DZERO  /
     1        4HNORM,  4HAL   , 4HMAX   , 4HSRSS, 4H     , 0.0D+0 /
C
      IF (IOPT(2).EQ.IBLNK .AND. (IOPT1.EQ.MAX .OR. IOPT1.EQ.ISRSS))
     1    GO TO 20
      WRITE  (NOUT,10) UFM,IOPT
   10 FORMAT (A23,', ILLEGAL BCD VALUE (', 2A4,') FOR THE 4TH PARAMATER'
     1,      ' IN MODULE NORM')
      CALL MESAGE (-61,0,0)
   20 INCRU  = 1
      INCRP  = 1
      ICORE  = KORSZ(IZ)
      IBUF1  = ICORE - ISYSBF + 1
      IBUF2  = IBUF1 - ISYSBF
      ICORE  = IBUF2 - 1
      CALL GOPEN (MATIN ,IZ(IBUF1),0)
      CALL GOPEN (MATOUT,IZ(IBUF2),1)
      MCB(1) = MATIN
      CALL RDTRL (MCB)
      NCOL   = MCB(2)
      NROW   = MCB(3)
      NROW2  = 2*NROW
      ITYPE  = MCB(5)
      IPREC  = ITYPE
      IF (IPREC .GT. 2) IPREC = IPREC - 2
      IUNOUT = ITYPE
      IPKOT1 = ITYPE
      IPKOT2 = ITYPE
      NROWP  = IPREC*NROW
      NWORDS = NWDS(ITYPE)
      MWORDS = NROW*NWORDS
      KWORDS = MWORDS
      IF (IOPT1 .NE. MAX) KWORDS = KWORDS + NROWP
      ICRREQ = KWORDS - ICORE
      IF (ICRREQ .GT. 0) CALL MESAGE (-8,ICRREQ,ISUBNM)
      IVEC   = MWORDS
      IVEC1  = IVEC + 1
      IVEC2  = IVEC + NROWP
      IF (IOPT1 .EQ. MAX) GO TO 40
      MCB(5) = IPREC
      IPKOT1 = IPREC
      IPKOT2 = IPREC
      DO 30 I= IVEC1,IVEC2
   30 Z(I)   = 0.0
   40 MCB(1) = MATOUT
      MCB(2) = 0
      MCB(6) = 0
      MCB(7) = 0
      IU1    = 1
      IU2    = NROW
C
      XXMAX  = 0.0
      DO 700 I = 1,NCOL
      XX   = 0.0
      CALL UNPACK (*50,MATIN,Z)
      IP1  = IU1
      IP2  = IU2
      XMAX =-1.0
      GO TO 70
   50 IP1  = 1
      IP2  = 1
      XMAX = 0.0
      DO 60 J = 1,NWORDS
      Z(J) = 0.0
   60 CONTINUE
C
   70 IF (IOPT1 .EQ. ISRSS) GO TO 600
      IF (XMAX  .EQ.   0.0) GO TO 510
C
C     OPTION IS MAX
C
      GO TO (100,200,300,400), ITYPE
C
  100 XMAX = 0.0
      DO 110 J = 1,NROW
      X = ABS(Z(J))
      IF (X .GT. XMAX) XMAX = X
  110 CONTINUE
      IF (XMAX .EQ. 0.0) GO TO 510
      XX = XMAX
      DO 120 J = 1,NROW
      Z(J) = Z(J)/XMAX
  120 CONTINUE
      GO TO 500
C
  200 DXMAX = DZERO
      DO 210 J = 1,NROW
      DX = DABS(ZD(J))
      IF (DX .GT. DXMAX) DXMAX = DX
  210 CONTINUE
      IF (DXMAX .EQ. DZERO) GO TO 510
      XX = DXMAX
      DO 220 J = 1,NROW
      ZD(J) = ZD(J)/DXMAX
  220 CONTINUE
      GO TO 500
C
  300 XMAX = 0.0
      DO 310 J = 1,NROW2,2
      X = SQRT(Z(J)*Z(J) + Z(J+1)**2)
      IF (X .GT. XMAX) XMAX = X
  310 CONTINUE
      IF (XMAX .EQ. 0.0) GO TO 510
      XX = XMAX
      DO 320 J = 1,NROW2,2
      Z(J  ) = Z(J  )/XMAX
      Z(J+1) = Z(J+1)/XMAX
  320 CONTINUE
      GO TO 500
C
  400 DXMAX = DZERO
      DO 410 J = 1,NROW2,2
      DX = DSQRT(ZD(J)*ZD(J) + ZD(J+1)**2)
      IF (DX .GT. DXMAX) DXMAX = DX
  410 CONTINUE
      IF (DXMAX .EQ. DZERO) GO TO 510
      XX = DXMAX
      DO 420 J = 1,NROW2,2
      ZD(J  ) = ZD(J  )/DXMAX
      ZD(J+1) = ZD(J+1)/DXMAX
  420 CONTINUE
C
  500 IF (XX .GT. XXMAX) XXMAX = XX
  510 CALL PACK (Z,MATOUT,MCB)
      GO TO 700
C
C     OPTION IS SRSS
C
  600 IF (XMAX .EQ. 0.0) GO TO 700
      GO TO (610,630,650,670), ITYPE
C
  610 DO 620 J = 1,NROW
      K = IVEC + J
      Z(K) = Z(K) + Z(J)*Z(J)
  620 CONTINUE
      GO TO 700
C
  630 DO 640 J = 1,NROW
      K = IVEC + J
      ZD(K) = ZD(K) + ZD(J)*ZD(J)
  640 CONTINUE
      GO TO 700
C
  650 K = IVEC
      DO 660 J = 1,NROW2,2
      K = K + 1
      Z(K) = Z(K) + Z(J)*Z(J) + Z(J+1)**2
  660 CONTINUE
      GO TO 700
C
  670 K = IVEC
      DO 680 J = 1,NROW2,2
      K = K + 1
      ZD(K) = ZD(K) + ZD(J)*ZD(J) + ZD(J+1)**2
  680 CONTINUE
C
  700 CONTINUE
      CALL CLOSE (MATIN, 1)
      IF (IOPT1 .EQ. MAX) GO TO 760
C
      IP1 = IU1
      IP2 = IU2
      GO TO (710,730), IPREC
C
  710 DO 720 I = IVEC1,IVEC2
      Z(I) = SQRT(Z(I))
      IF (Z(I) .GT. XXMAX) XXMAX = Z(I)
  720 CONTINUE
      GO TO 750
C
  730 DO 740 I = IVEC1,IVEC2
      ZD(I) = DSQRT(ZD(I))
      IF (ZD(I) .GT. XXMAX) XXMAX = ZD(I)
  740 CONTINUE
C
  750 CALL PACK (Z(IVEC1),MATOUT,MCB)
C
  760 CALL CLOSE (MATOUT,1)
      CALL WRTTRL (MCB)
      RETURN
      END