PLOTS Subroutine

public subroutine PLOTS(Y, X, N, D, Dmin, Dmax)

NAME

plots(3f) - [M_datapac:GENERIC_LINE_PLOT] generate a line printer
plot of Y vs X

SYNOPSIS

   SUBROUTINE PLOTS(Y,X,N,D,Dmin,Dmax)

DESCRIPTION

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

  1. with only those points (x(i),y(i)) plotted
     for which the corresponding value of d(i)
     is between the specified values of dmin and dmax.

the use of the subset definition vector d gives the data analyst
the capability of plotting subsets of the data, where the subset is
defined by values in the vector d.

OPTIONS

 X   description of parameter
 Y   description of parameter

EXAMPLES

Sample program:

program demo_plots
use M_datapac, only : plots
implicit none
! call plots(x,y)
end program demo_plots

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

Arguments

Type IntentOptional Attributes Name
real(kind=wp), dimension(:) :: Y
real(kind=wp), dimension(:) :: X
integer :: N
real(kind=wp), dimension(:) :: D
real(kind=wp) :: Dmin
real(kind=wp) :: Dmax

Common Blocks

HIST (subroutine)
PLOT10 (subroutine)
PLOT6 (subroutine)
PLOT7 (subroutine)
PLOT8 (subroutine)
PLOT9 (subroutine)
PLOTC (subroutine)
PLOTCO (subroutine)
PLOT (subroutine)
PLOTSC (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 PLOTS(Y,X,N,D,Dmin,Dmax)
REAL(kind=wp) :: aim1 , cutoff , D , Dmax , Dmin , hold , ratiox , ratioy ,   &
     &     X , x25 , x75 , xmax , xmid , xmin , Y , ylable , ymax , ymin
INTEGER i , 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.
!                    --N      = THE INTEGER NUMBER OF OBSERVATIONS
!                               IN THE VECTOR Y.
!                    --D      = THE  VECTOR
!                               WHICH 'DEFINES' THE VARIOUS
!                               POSSIBLE SUBSETS.
!                    --DMIN   = THE  VALUE
!                               WHICH DEFINES THE LOWER BOUND
!                               (INCLUSIVELY) OF THE PARTICULAR
!                               SUBSET OF INTEREST TO BE PLOTTED.
!                    --DMAX   = THE  VALUE
!                               WHICH DEFINES THE UPPER BOUND
!                               (INCLUSIVELY) OF THE PARTICULAR
!                               SUBSET OF INTEREST TO BE PLOTTED.
!     OUTPUT--A ONE-page PRINTER PLOT OF Y(I) VERSUS X(I),
!             FOR ONLY OF A SPECIFIED SUBSET OF THE DATA.
!     PRINTING--YES.
!     COMMENT--FOR A GIVEN DUMMY INDEX I,
!              IF D(I) IS SMALLER THAN DMIN OR LARGER THAN DMAX,
!              THEN THE CORRESPONDING POINT (X(I),Y(I))
!              WILL NOT BE PLOTTED.
!            --VALUES IN THE VERTICAL AXIS VECTOR (Y)
!              OR THE HORIZONTAL AXIS VECTOR (X) 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) ARE 'MISSING DATA', OR WHEN WE PURPOSELY
!              WANT TO IGNORE CERTAIN ELEMENTS IN THE VECTOR Y
!              (OR X) FOR PLOTTING PURPOSES (THAT IS, WE DO NOT
!              WANT CERTAIN ELEMENTS IN Y (OR X) TO BE PLOTTED).
!              TO CAUSE SPECIFIC ELEMENTS IN Y (OR X) 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 PLOT
!              SUBROUTINE.
!     ORIGINAL VERSION--OCTOBER   1975.
!     UPDATED         --NOVEMBER  1975.
!     UPDATED         --FEBRUARY  1977.
!
!---------------------------------------------------------------------
!
CHARACTER(len=4) :: IGRaph
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 D(:)
      DIMENSION ylable(11)
      COMMON /BLOCK1/ IGRaph(55,130)
!
      DATA sbnam1 , sbnam2/'PLOT' , 'S   '/
      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' , '='/
!
      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,99015)
         WRITE (G_IO,99016)
         WRITE (G_IO,99017) alph31 , alph32 , sbnam1 , sbnam2
         WRITE (G_IO,99002) N
99002    FORMAT (' ','IS NON-NEGATIVE (WITH VALUE = ',I0,')')
         WRITE (G_IO,99015)
         RETURN
      ELSE
         IF ( N==1 ) THEN
            WRITE (G_IO,99015)
            WRITE (G_IO,99016)
            WRITE (G_IO,99017) alph31 , alph32 , sbnam1 , sbnam2
            WRITE (G_IO,99003) N
99003       FORMAT (' ','HAS THE VALUE 1')
            WRITE (G_IO,99015)
            RETURN
         ELSE
!
            hold = Y(1)
            DO i = 2 , N
               IF ( Y(i)/=hold ) GOTO 50
            ENDDO
            WRITE (G_IO,99015)
            WRITE (G_IO,99016)
            WRITE (G_IO,99017) alph11 , alph12 , sbnam1 , sbnam2
            WRITE (G_IO,99018) hold
            WRITE (G_IO,99015)
            RETURN
         ENDIF
 50      hold = X(1)
         DO i = 2 , N
            IF ( X(i)/=hold ) GOTO 100
         ENDDO
         WRITE (G_IO,99015)
         WRITE (G_IO,99016)
         WRITE (G_IO,99017) alph21 , alph22 , sbnam1 , sbnam2
         WRITE (G_IO,99018) hold
         WRITE (G_IO,99015)
         RETURN
      ENDIF
 100  hold = D(1)
      DO i = 2 , N
         IF ( D(i)/=hold ) GOTO 200
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99004)
99004 FORMAT (' ','               NON-FATAL DIAGNOSTIC               ')
      WRITE (G_IO,99017) alph41 , alph42 , sbnam1 , sbnam2
      WRITE (G_IO,99018) hold
      WRITE (G_IO,99015)
!
 200  DO i = 1 , N
         IF ( Y(i)<cutoff ) GOTO 300
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99016)
      WRITE (G_IO,99017) alph11 , alph12 , sbnam1 , sbnam2
      WRITE (G_IO,99019)
      WRITE (G_IO,99020) cutoff
      WRITE (G_IO,99015)
      RETURN
 300  DO i = 1 , N
         IF ( X(i)<cutoff ) GOTO 400
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99016)
      WRITE (G_IO,99017) alph21 , alph22 , sbnam1 , sbnam2
      WRITE (G_IO,99019)
      WRITE (G_IO,99020) cutoff
      WRITE (G_IO,99015)
      RETURN
 400  DO i = 1 , N
         IF ( D(i)<cutoff ) GOTO 500
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99016)
      WRITE (G_IO,99017) alph41 , alph42 , sbnam1 , sbnam2
      WRITE (G_IO,99019)
      WRITE (G_IO,99020) cutoff
      WRITE (G_IO,99015)
      RETURN
!
 500  DO i = 1 , N
         IF ( Dmin<D(i) .AND. D(i)<Dmax ) GOTO 600
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99016)
      WRITE (G_IO,99017) alph41 , alph42 , sbnam1 , sbnam2
      WRITE (G_IO,99005)
99005 FORMAT (' ','HAS ALL ELEMENTS OUTSIDE THE INTERVAL')
      WRITE (G_IO,99006) Dmin , Dmax
99006 FORMAT (' ','(',E15.8,',',E15.8,')',' AS DEFINED BY')
      WRITE (G_IO,99007)
99007 FORMAT (' ','THE FIFTH  AND SIXTH  INPUT ARGUMENTS.')
      WRITE (G_IO,99015)
      RETURN
!
 600  n2 = 0
      DO i = 1 , N
         IF ( Y(i)<cutoff .AND. X(i)<cutoff .AND. D(i)<cutoff ) THEN
            IF ( Dmin<D(i) .AND. D(i)<Dmax ) n2 = n2 + 1
            IF ( n2>=2 ) GOTO 700
         ENDIF
      ENDDO
      WRITE (G_IO,99015)
      WRITE (G_IO,99016)
      WRITE (G_IO,99008) alph11 , alph12 , alph21 , alph22 , alph41 ,    &
     &                  alph42
99008 FORMAT (' ','THE ',A4,A4,', ',A4,A4,', AND ',A4,A4)
      WRITE (G_IO,99009) sbnam1 , sbnam2
99009 FORMAT (' ','INPUT ARGUMENTS TO THE ',A4,A4,' SUBROUTINE')
      WRITE (G_IO,99010)
99010 FORMAT (' ','ARE SUCH THAT TOO MANY POINTS HAVE BEEN',            &
     &        ' EXCLUDED FROM THE PLOT.')
      WRITE (G_IO,99011) n2
99011 FORMAT (' ','ONLY ',I0,' POINTS ARE LEFT TO BE PLOTTED.')
      WRITE (G_IO,99015)
      RETURN
!
!-----START POINT-----------------------------------------------------
!
!     DETERMINE THE VALUES TO BE LISTED ON THE LEFT VERTICAL AXIS
!
 700  DO i = 1 , N
         IF ( Y(i)<cutoff ) THEN
            IF ( X(i)<cutoff ) THEN
               IF ( D(i)>=Dmin ) THEN
                  IF ( D(i)<=Dmax ) THEN
                     ymin = Y(i)
                     ymax = Y(i)
                     EXIT
                  ENDIF
               ENDIF
            ENDIF
         ENDIF
      ENDDO
      DO i = 1 , N
         IF ( Y(i)<cutoff ) THEN
            IF ( X(i)<cutoff ) THEN
               IF ( D(i)>=Dmin ) THEN
                  IF ( D(i)<=Dmax ) THEN
                     IF ( Y(i)<ymin ) ymin = Y(i)
                     IF ( Y(i)>ymax ) ymax = Y(i)
                  ENDIF
               ENDIF
            ENDIF
         ENDIF
      ENDDO
      DO i = 1 , 9
         aim1 = i - 1
         ylable(i) = ymax - (aim1/8.0_wp)*(ymax-ymin)
      ENDDO
!
!     DETERMINE THE VALUES TO BE LISTED ON THE BOTTOM HORIZONTAL AXIS
!     DETERMINE XMIN, XMAX, XMID, X25 (=THE 25% POINT), AND
!     X75 (=THE 75% POINT)
!
      DO i = 1 , N
         IF ( Y(i)<cutoff ) THEN
            IF ( X(i)<cutoff ) THEN
               IF ( D(i)>=Dmin ) THEN
                  IF ( D(i)<=Dmax ) THEN
                     xmin = X(i)
                     xmax = X(i)
                     EXIT
                  ENDIF
               ENDIF
            ENDIF
         ENDIF
      ENDDO
      DO i = 1 , N
         IF ( Y(i)<cutoff ) THEN
            IF ( X(i)<cutoff ) THEN
               IF ( D(i)>=Dmin ) THEN
                  IF ( D(i)<=Dmax ) THEN
                     IF ( X(i)<xmin ) xmin = X(i)
                     IF ( X(i)>xmax ) xmax = X(i)
                  ENDIF
               ENDIF
            ENDIF
         ENDIF
      ENDDO
      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 ( D(i)>=Dmin ) THEN
                  IF ( D(i)<=Dmax ) THEN
                     mx = ratiox*(X(i)-xmin) + 0.5_wp
                     mx = mx + 7
                     my = ratioy*(Y(i)-ymin) + 0.5_wp
                     my = 43 - my
                     IGRaph(my,mx) = alphax
                  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,99012) (IGRaph(i,j),j=1,109)
!
99012    FORMAT (' ',20X,109A1)
         IF ( iflag==0 ) WRITE (G_IO,99013) ylable(k) ,                  &
     &                          (IGRaph(i,j),j=1,109)
99013    FORMAT (' ',F20.7,109A1)
      ENDDO
      WRITE (G_IO,99014) xmin , x25 , xmid , x75 , xmax
99014 FORMAT (' ',14X,F20.7,5X,F20.7,5X,F20.7,5X,F20.7,1X,F20.7)
!
99015 FORMAT (' ','**************************************************', &
     &        '********************')
99016 FORMAT (' ','                   FATAL ERROR                    ')
99017 FORMAT (' ','THE ',A4,A4,' INPUT ARGUMENT TO THE ',A4,A4,         &
     &        ' SUBROUTINE')
99018 FORMAT (' ','HAS ALL ELEMENTS = ',E15.8)
99019 FORMAT (' ','HAS ALL ELEMENTS IN EXCESS OF THE CUTOFF')
99020 FORMAT (' ','VALUE OF ',E15.8)
!
END SUBROUTINE PLOTS