PLOT9 Subroutine

public subroutine PLOT9(Y, X, Char, N, Ymin, Ymax, Xmin, Xmax, Yaxid, Xaxid, Plchid)

NAME

plot9(3f) - [M_datapac:GENERIC_LINE_PLOT] generate a line printer
plot with special plot characters

SYNOPSIS

   SUBROUTINE PLOT9(Y,X,Char,N,Ymin,Ymax,Xmin,Xmax,Yaxid,Xaxid,Plchid)

DESCRIPTION

PLOT9(3f) yields a one-page printer plot of y(i) versus x(i):

  1. With special plot characters;
  2. With the vertical (y) axis min and max
     and the horizontal (x) axis min and max
     values specified by the data analyst; and
  3. With hollerith labels (at most 6 characters)
     for the vertical axis variable,
     the horizontal axis variable, and
     the plotting character variable
     also being provided by the data analyst.

The 'special plotting character' capability allows the data analyst
to incorporate information from a third variable (aside from Y and X)
into the plot.

The plot character used at the i-th plotting position (that is,
at the coordinate (X(i),Y(i))) will be

  1 if char(i) is between  0.5 and  1.5
  2 if char(i) is between  1.5 and  2.5
    .
    .
    .
  9 if char(i) is between  8.5 and  9.5
  0 if char(i) is between  9.5 and 10.5
  a if char(i) is between 10.5 and 11.5
  b if char(i) is between 11.5 and 12.5
  c if char(i) is between 12.5 and 13.5
    .
    .
    .
  w if char(i) is between 32.5 and 33.5
  x if char(i) is between 33.5 and 34.5
  y if char(i) is between 34.5 and 35.5
  z if char(i) is between 35.5 and 36.5
  x if char(i) is any value outside the range
                           0.5 to  36.5.

The use of the YMIN, YMAX, XMIN, and XMAX specifications allows the
data analyst to control fully the plot axis limits, so as, for example,
to zero-in on an interesting sub-region of a previous plot.

The use of hollerith identifying labels allows the data analyst to
automatically have the plots labeled. This is particularly useful
in a large analysis when many plots are being generated.

OPTIONS

 X   description of parameter
 Y   description of parameter

EXAMPLES

Sample program:

program demo_plot9
use M_datapac, only : plot9
implicit none
! call plot9(x,y)
end program demo_plot9

Results:

AUTHOR

The original DATAPAC library was written by James Filliben of the
Statistical Engineering Division, National Institute of Standards
and Technology.

MAINTAINER

John Urban, 2022.05.31

LICENSE

CC0-1.0

REFERENCES

  • Filliben, ‘Statistical Analysis of Interlab Fatigue Time Data’, Unpublished Manuscript (Available from Author) presented at the ‘Computer-Assisted Data Analysis’ Session at the National Meeting of the American Statistical Association, New York City, December 27-30, 1973.

Arguments

Type IntentOptional Attributes Name
real(kind=wp), dimension(:) :: Y
real(kind=wp), dimension(:) :: X
real(kind=wp), dimension(:) :: Char
integer :: N
real(kind=wp) :: Ymin
real(kind=wp) :: Ymax
real(kind=wp) :: Xmin
real(kind=wp) :: Xmax
real(kind=wp) :: Yaxid
real(kind=wp) :: Xaxid
real(kind=wp) :: Plchid

Common Blocks

HIST (subroutine)
PLOT10 (subroutine)
PLOT6 (subroutine)
PLOT7 (subroutine)
PLOT8 (subroutine)
PLOTC (subroutine)
PLOTCO (subroutine)
PLOT (subroutine)
PLOTSC (subroutine)
PLOTS (subroutine)
PLOTSP (subroutine)
PLOTU (subroutine)
PLOTX (subroutine)
PLOTXX (subroutine)
HIST (subroutine)
PLOT10 (subroutine)
PLOT6 (subroutine)
PLOT7 (subroutine)
PLOT8 (subroutine)
PLOT9 (subroutine)
PLOTC (subroutine)
PLOTCO (subroutine)
PLOT (subroutine)
PLOTSC (subroutine)
PLOTS (subroutine)
PLOTSP (subroutine)
PLOTU (subroutine)
PLOTX (subroutine)
PLOTXX (subroutine)
"> common /BLOCK1/

Type Attributes Name Initial
integer :: IGRaph(55,130)

Source Code

SUBROUTINE PLOT9(Y,X,Char,N,Ymin,Ymax,Xmin,Xmax,Yaxid,Xaxid,Plchid)
REAL(kind=wp) :: aim1 , Char , cutoff , hold , Plchid , ratiox , ratioy , X , &
     &     x25 , x75 , Xaxid , Xmax , xmid , Xmin , Y , Yaxid , ylable ,&
     &     Ymax , Ymin
INTEGER :: i , iarg , iflag , ip2 , j , k , mx , my , N , n2
!
!
!     INPUT ARGUMENTS--Y      = THE  VECTOR OF
!                               (UNSORTED OR SORTED) OBSERVATIONS
!                               TO BE PLOTTED VERTICALLY.
!                    --X      = THE  VECTOR OF
!                               (UNSORTED OR SORTED) OBSERVATIONS
!                               TO BE PLOTTED HORIZONTALLY.
!                    --CHAR   = THE  VECTOR OF
!                               OBSERVATIONS WHICH CONTROL THE
!                               VALUE OF EACH INDIVIDUAL PLOT
!                               CHARACTER.
!                    --N      = THE INTEGER NUMBER OF OBSERVATIONS
!                               IN THE VECTOR Y.
!                    --YMIN   = THE  VALUE OF
!                               DESIRED MINIMUM FOR THE VERTICAL AXIS.
!                    --YMAX   = THE  VALUE OF
!                               DESIRED MAXIMUM FOR THE VERTICAL AXIS.
!                    --XMIN   = THE  VALUE OF
!                               DESIRED MINIMUM FOR THE HORIZONTAL AXIS.
!                    --XMAX   = THE  VALUE OF
!                               DESIRED MAXIMUM FOR THE HORIZONTAL AXIS.
!                    --YAXID  = THE HOLLERITH VALUE
!                               (AT MOST 6 CHARACTERS)
!                               OF THE DESIRED LABEL FOR THE
!                               VERTICAL AXIS VARIABLE.
!                    --XAXID  = THE HOLLERITH VALUE
!                               (AT MOST 6 CHARACTERS)
!                               OF THE DESIRED LABEL FOR THE
!                               HORIZONTAL AXIS VARIABLE.
!                    --PLCHID = THE HOLLERITH VALUE
!                               (AT MOST 6 CHARACTERS)
!                               OF THE DESIRED LABEL FOR THE
!                               PLOTTING CHARACTER VARIABLE.
!     OUTPUT--A ONE-page PRINTER PLOT OF Y(I) VERSUS X(I),
!             WITH SPECIAL PLOT CHARACTERS,
!             WITH SPECIFIED AXIS LIMITS,
!             AND WITH SPECIFIED LABELS.
!     PRINTING--YES.
!     RESTRICTIONS--THERE IS NO RESTRICTION ON THE MAXIMUM VALUE
!                   OF N FOR THIS SUBROUTINE.
!     MODE OF INTERNAL OPERATIONS--.
!     COMMENT--VALUES IN THE VERTICAL AXIS VECTOR (Y)
!              WHICH ARE SMALLER THAN YMIN OR LARGER THAN YMAX,
!              OR VALUES IN THE HORIZONTAL AXIS VECTOR (X)
!              WHICH ARE SMALLER THAN XMIN OR LARGER THAN XMAX
!              WILL NOT BE PLOTTED.
!            --VALUES IN THE VERTICAL AXIS VECTOR (Y),
!              THE HORIZONTAL AXIS VECTOR (X),
!              OR THE PLOT CHARACTER VECTOR (CHAR) WHICH ARE
!              EQUAL TO OR IN EXCESS OF 10.0**10 WILL NOT BE
!              PLOTTED.
!              THIS CONVENTION GREATLY SIMPLIFIES THE PROBLEM
!              OF PLOTTING WHEN SOME ELEMENTS IN THE VECTOR Y
!              (OR X, OR CHAR) ARE 'MISSING DATA', OR WHEN WE PURPOSELY
!              WANT TO IGNORE CERTAIN ELEMENTS IN THE VECTOR Y
!              (OR X, OR CHAR) FOR PLOTTING PURPOSES (THAT IS, WE DO NOT
!              WANT CERTAIN ELEMENTS IN Y (OR X, OR CHAR) TO BE
!              PLOTTED).
!              TO CAUSE SPECIFIC ELEMENTS IN Y (OR X, OR CHAR) TO BE
!              IGNORED, WE REPLACE THE ELEMENTS BEFOREHAND
!              (BY, FOR EXAMPLE, USE OF THE   REPLAC   SUBROUTINE)
!              BY SOME LARGE VALUE (LIKE, SAY, 10.0**10) AND
!              THEY WILL SUBSEQUENTLY BE IGNORED IN THE PLOTC
!              SUBROUTINE.
!     ORIGINAL VERSION--JUNE      1972.
!     UPDATED         --JUNE      1974.
!     UPDATED         --OCTOBER   1975.
!     UPDATED         --NOVEMBER  1975.
!     UPDATED         --FEBRUARY  1976.
!     UPDATED         --FEBRUARY  1977.
!     UPDATED         --JUNE      1977.
!
!---------------------------------------------------------------------
!
CHARACTER(len=4) :: IGRaph
CHARACTER(len=4) :: iplotc
CHARACTER(len=4) :: sbnam1 , sbnam2
CHARACTER(len=4) :: alph11 , alph12 , alph21 , alph22 , alph31 , alph32
CHARACTER(len=4) :: alph41 , alph42
CHARACTER(len=4) :: blank , hyphen , alphai , alphax
CHARACTER(len=4) :: alpham , alphaa , alphad , alphan , equal
!
      DIMENSION Y(:)
      DIMENSION X(:)
      DIMENSION Char(:)
      DIMENSION ylable(11)
      DIMENSION iplotc(37)
      COMMON /BLOCK1/ IGRaph(55,130)
!
      DATA sbnam1 , sbnam2/'PLOT' , '9   '/
      DATA alph11 , alph12/'FIRS' , 'T   '/
      DATA alph21 , alph22/'SECO' , 'ND  '/
      DATA alph31 , alph32/'THIR' , 'D   '/
      DATA alph41 , alph42/'FOUR' , 'TH  '/
      DATA blank , hyphen , alphai , alphax/' ' , '-' , 'I' , 'X'/
      DATA alpham , alphaa , alphad , alphan , equal/'M' , 'A' , 'D' ,  &
     &     'N' , '='/
      DATA iplotc(1) , iplotc(2) , iplotc(3) , iplotc(4) , iplotc(5) ,  &
     &     iplotc(6) , iplotc(7) , iplotc(8) , iplotc(9) , iplotc(10) , &
     &     iplotc(11) , iplotc(12) , iplotc(13) , iplotc(14) ,          &
     &     iplotc(15) , iplotc(16) , iplotc(17) , iplotc(18) ,          &
     &     iplotc(19) , iplotc(20) , iplotc(21) , iplotc(22) ,          &
     &     iplotc(23) , iplotc(24) , iplotc(25) , iplotc(26) ,          &
     &     iplotc(27) , iplotc(28) , iplotc(29) , iplotc(30) ,          &
     &     iplotc(31) , iplotc(32) , iplotc(33) , iplotc(34) ,          &
     &     iplotc(35) , iplotc(36) , iplotc(37)/'1' , '2' , '3' , '4' , &
     &     '5' , '6' , '7' , '8' , '9' , '0' , 'A' , 'B' , 'C' , 'D' ,  &
     &     'E' , 'F' , 'G' , 'H' , 'I' , 'J' , 'K' , 'L' , 'M' , 'N' ,  &
     &     'O' , 'P' , 'Q' , 'R' , 'S' , 'T' , 'U' , 'V' , 'W' , 'X' ,  &
     &     'Y' , 'Z' , 'X'/
!
      cutoff = (10.0_wp**10) - 1000.0_wp
!
!     CHECK THE INPUT ARGUMENTS FOR ERRORS
!
      WRITE (G_IO,99001)
99001 FORMAT ('1')
      IF ( N<1 ) THEN
         WRITE (G_IO,99014)
         WRITE (G_IO,99015)
         WRITE (G_IO,99016) alph41 , alph42 , sbnam1 , sbnam2
         WRITE (G_IO,99002) N
99002    FORMAT (' ','IS NON-NEGATIVE (WITH VALUE = ',I0,')')
         WRITE (G_IO,99014)
         RETURN
      ELSE
         IF ( N==1 ) THEN
            WRITE (G_IO,99014)
            WRITE (G_IO,99015)
            WRITE (G_IO,99016) alph41 , alph42 , sbnam1 , sbnam2
            WRITE (G_IO,99003) N
99003       FORMAT (' ','HAS THE VALUE 1')
            WRITE (G_IO,99014)
            RETURN
         ELSE
!
            hold = Y(1)
            DO i = 2 , N
               IF ( Y(i)/=hold ) GOTO 50
            ENDDO
            WRITE (G_IO,99014)
            WRITE (G_IO,99015)
            WRITE (G_IO,99016) alph11 , alph12 , sbnam1 , sbnam2
            WRITE (G_IO,99017) hold
            WRITE (G_IO,99014)
            RETURN
         ENDIF
 50      hold = X(1)
         DO i = 2 , N
            IF ( X(i)/=hold ) GOTO 100
         ENDDO
         WRITE (G_IO,99014)
         WRITE (G_IO,99015)
         WRITE (G_IO,99016) alph21 , alph22 , sbnam1 , sbnam2
         WRITE (G_IO,99017) hold
         WRITE (G_IO,99014)
         RETURN
      ENDIF
 100  hold = Char(1)
      DO i = 2 , N
         IF ( Char(i)/=hold ) GOTO 200
      ENDDO
      WRITE (G_IO,99014)
      WRITE (G_IO,99004)
99004 FORMAT (' ','               NON-FATAL DIAGNOSTIC               ')
      WRITE (G_IO,99016) alph31 , alph32 , sbnam1 , sbnam2
      WRITE (G_IO,99017) hold
      WRITE (G_IO,99014)
!
 200  DO i = 1 , N
         IF ( Y(i)<cutoff ) GOTO 300
      ENDDO
      WRITE (G_IO,99014)
      WRITE (G_IO,99015)
      WRITE (G_IO,99016) alph11 , alph12 , sbnam1 , sbnam2
      WRITE (G_IO,99018)
      WRITE (G_IO,99019) cutoff
      WRITE (G_IO,99014)
      RETURN
 300  DO i = 1 , N
         IF ( X(i)<cutoff ) GOTO 400
      ENDDO
      WRITE (G_IO,99014)
      WRITE (G_IO,99015)
      WRITE (G_IO,99016) alph21 , alph22 , sbnam1 , sbnam2
      WRITE (G_IO,99018)
      WRITE (G_IO,99019) cutoff
      WRITE (G_IO,99014)
      RETURN
 400  DO i = 1 , N
         IF ( Char(i)<cutoff ) GOTO 500
      ENDDO
      WRITE (G_IO,99014)
      WRITE (G_IO,99015)
      WRITE (G_IO,99016) alph31 , alph32 , sbnam1 , sbnam2
      WRITE (G_IO,99018)
      WRITE (G_IO,99019) cutoff
      WRITE (G_IO,99014)
      RETURN
!
 500  n2 = 0
      DO i = 1 , N
         IF ( Y(i)<cutoff .AND. X(i)<cutoff .AND. Char(i)<cutoff ) THEN
            n2 = n2 + 1
            IF ( n2>=2 ) GOTO 600
         ENDIF
      ENDDO
      WRITE (G_IO,99014)
      WRITE (G_IO,99015)
      WRITE (G_IO,99005) alph11 , alph12 , alph21 , alph22 , alph31 ,    &
     &                  alph32
99005 FORMAT (' ','THE ',A4,A4,', ',A4,A4,', AND ',A4,A4)
      WRITE (G_IO,99006) sbnam1 , sbnam2
99006 FORMAT (' ','INPUT ARGUMENTS TO THE ',A4,A4,' SUBROUTINE')
      WRITE (G_IO,99007)
99007 FORMAT (' ','ARE SUCH THAT TOO MANY POINTS HAVE BEEN',            &
     &        ' EXCLUDED FROM THE PLOT.')
      WRITE (G_IO,99008) n2
99008 FORMAT (' ','ONLY ',I0,' POINTS ARE LEFT TO BE PLOTTED.')
      WRITE (G_IO,99014)
      RETURN
!
!-----START POINT-----------------------------------------------------
!
!     DETERMINE THE VALUES TO BE LISTED ON THE LEFT VERTICAL AXIS
!
 600  DO i = 1 , 9
         aim1 = i - 1
         ylable(i) = Ymax - (aim1/8.0)*(Ymax-Ymin)
      ENDDO
!
!     DETERMINE THE VALUES TO BE LISTED ON THE BOTTOM HORIZONTAL AXIS
!     DETERMINE XMID, X25 (=THE 25% POINT), AND
!     X75 (=THE 75% POINT)
!
      xmid = (Xmin+Xmax)/2.0_wp
      x25 = 0.75_wp*Xmin + 0.25_wp*Xmax
      x75 = 0.25_wp*Xmin + 0.75_wp*Xmax
!
!     BLANK OUT THE GRAPH
!
      DO i = 1 , 45
         DO j = 1 , 109
            IGRaph(i,j) = blank
         ENDDO
      ENDDO
!
!     PRODUCE THE VERTICAL AXES
!
      DO i = 3 , 43
         IGRaph(i,5) = alphai
         IGRaph(i,109) = alphai
      ENDDO
      DO i = 3 , 43 , 5
         IGRaph(i,5) = hyphen
         IGRaph(i,109) = hyphen
      ENDDO
      IGRaph(3,1) = equal
      IGRaph(3,2) = alpham
      IGRaph(3,3) = alphaa
      IGRaph(3,4) = alphax
      IGRaph(23,1) = equal
      IGRaph(23,2) = alpham
      IGRaph(23,3) = alphai
      IGRaph(23,4) = alphad
      IGRaph(43,1) = equal
      IGRaph(43,2) = alpham
      IGRaph(43,3) = alphai
      IGRaph(43,4) = alphan
!
!     PRODUCE THE HORIZONTAL AXES
!
      DO j = 7 , 107
         IGRaph(1,j) = hyphen
         IGRaph(45,j) = hyphen
      ENDDO
      DO j = 7 , 107 , 25
         IGRaph(1,j) = alphai
         IGRaph(45,j) = alphai
      ENDDO
      DO j = 20 , 107 , 25
         IGRaph(1,j) = alphai
         IGRaph(45,j) = alphai
      ENDDO
!
!     DETERMINE THE (X,Y) PLOT POSITIONS
!
      ratioy = 40.0_wp/(Ymax-Ymin)
      ratiox = 100.0_wp/(Xmax-Xmin)
      DO i = 1 , N
         IF ( Y(i)<cutoff ) THEN
            IF ( X(i)<cutoff ) THEN
               IF ( Char(i)<cutoff ) THEN
                  IF ( Y(i)>=Ymin .AND. Y(i)<=Ymax ) THEN
                     IF ( X(i)>=Xmin .AND. X(i)<=Xmax ) THEN
                        mx = ratiox*(X(i)-Xmin) + 0.5_wp
                        mx = mx + 7
                        my = ratioy*(Y(i)-Ymin) + 0.5_wp
                        my = 43 - my
                        iarg = 37
                        IF ( 0.5_wp<Char(i) .AND. Char(i)<36.5_wp )           &
     &                       iarg = Char(i) + 0.5_wp
                        IGRaph(my,mx) = iplotc(iarg)
                     ENDIF
                  ENDIF
               ENDIF
            ENDIF
         ENDIF
      ENDDO
!
!     WRITE OUT THE GRAPH
!
      DO i = 1 , 45
         ip2 = i + 2
         iflag = ip2 - (ip2/5)*5
         k = ip2/5
         IF ( iflag/=0 ) WRITE (G_IO,99009) (IGRaph(i,j),j=1,109)
99009    FORMAT (' ',20X,109A1)
         IF ( iflag==0 ) WRITE (G_IO,99010) ylable(k) ,                  &
     &                          (IGRaph(i,j),j=1,109)
99010    FORMAT (' ',F20.7,109A1)
      ENDDO
      WRITE (G_IO,99011) Xmin , x25 , xmid , x75 , Xmax
99011 FORMAT (' ',14X,F20.7,5X,F20.7,5X,F20.7,5X,F20.7,1X,F20.7)
!
      WRITE (G_IO,99012) Yaxid , Xaxid , Plchid
99012 FORMAT (' ',9X,A4,A4,' (VERTICAL AXIS) VERSUS ',A4,A4,            &
     &        ' (HORIZONTAL AXIS)',20X,'THE PLOTTING CHARACTER IS ',A4, &
     &        A4)
      WRITE (G_IO,99013) N
99013 FORMAT (' ',83X,'THE NUMBER OF OBSERVATIONS PLOTTED IS ',I0)
!
99014 FORMAT (' ','**************************************************', &
     &        '********************')
99015 FORMAT (' ','                   FATAL ERROR                    ')
99016 FORMAT (' ','THE ',A4,A4,' INPUT ARGUMENT TO THE ',A4,A4,         &
     &        ' SUBROUTINE')
99017 FORMAT (' ','HAS ALL ELEMENTS = ',E15.8)
99018 FORMAT (' ','HAS ALL ELEMENTS IN EXCESS OF THE CUTOFF')
99019 FORMAT (' ','VALUE OF ',E15.8)
!
END SUBROUTINE PLOT9