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PDL::Graphics::PGPLOT::Window

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Window(3pm)           User Contributed Perl Documentation          Window(3pm)



NAME
       PDL::Graphics::PGPLOT::Window - A OO interface to PGPLOT windows

SYNOPSIS
        perldl> use PDL::Graphics::PGPLOT::Window
        perldl> $win = pgwin(Device => '/xs');
        perldl> $a = pdl [1..100]
        perldl> $b = sqrt($a)
        perldl> $win->line($b)
        perldl> $win->hold()
        perldl> $c = sin($a/10)*2 + 4
        perldl> $win->line($c)

       In the following documentation the commands are not shown in their OO
       versions. This is for historical reasons and should not cause too much
       trouble.

DESCRIPTION
       This package offers a OO interface to the PGPLOT plotting package. This
       is intended to replace the traditional interface in PDL::Graph-
       ics::PGPLOT and contains interfaces to a large number of PGPLOT rou-
       tines. Below the usage examples for each function tend to be given in
       the non-OO version for historical reasons. This will slowly be changed,
       but in the meantime refer to the section on OO-interface below to see
       how to convert the usage information below to OO usage (it is totally
       trivial).

       PDL::Graphics::PGPLOT::Window is an interface to the PGPLOT graphical
       libraries.  It currently supports PGPLOT-5.2 and PGPLOT-5.2-cd2.  The
       -cd2 version includes RGB output and anti-aliasing.

       High-level plotting commands:

        imag       -  Display an image (uses pgimag/pggray/pgrgbi as appropriate)
        fits_imag  -  Display a FITS image in scientific coordinates
        cont       -  Display image as contour map
        fits_cont  -  Display a FITS image in scientific coordinates as a contour map
        vect       -  Display 2 images as a vector field
        fits_vect  -  Display 2 FITS images in sci. coordinates as a vector field
        ctab       -  Load an image colour table
        ctab_info  -  Get information about currently loaded colour table
        line       -  Plot vector as connected points
        tline      -  Plot a collection of vectors as lines
        lines      -  Plot a polyline, multicolor vector [threadable]
        points     -  Plot vector as points
        tpoints    -  Plot a collection of vectors as points [threadable]
        errb       -  Plot error bars
        bin        -  Plot vector as histogram (e.g. bin(hist($data)) )
        hi2d       -  Plot image as 2d histogram (not very good IMHO...)
        tcircle    -  Plot vectors as circles [threadable]
        label_axes -  Print axis titles
        legend     -  Create a legend with different texts, linestyles etc.

       Low-level plotting commands:

        arrow      -  Draw an arrow
        poly       -  Draw a polygon
        rectangle  -  Draw a rectangle
        text       -  Write text in the plot area
        cursor     -  Interactively read cursor positions.
        circle     -  Draw a circle
        ellipse    -  Draw an ellipse.

       Device manipulation commands:

        new           -  Construct a new output device
        pgwin         -  Exported hook to new()
        close         -  Close a PGPLOT output device.
        hold          -  Hold current plot window range - allows overlays etc.
        release       -  Release back to freshly autoscaling for each command.
        held          -  Indicates whether the current window is held.
        focus         -  Set focus to the given device.
        erase         -  Erase the current window (or panel).
        options       -  Get the options set for the present output device.
        id            -  The ID for the device.
        device        -  The device type.
        name          -  The window name.

       Notes: $transform for image/cont etc. is used in the same way as the
       "TR()" array in the underlying PGPLOT FORTRAN routine but is, fortu-
       nately, zero-offset. The transform() routine can be used to create this
       piddle.

       For completeness: The transformation array connect the pixel index to a
       world coordinate such that:

        X = tr[0] + tr[1]*i + tr[2]*j
        Y = tr[3] + tr[4]*i + tr[5]*j

       Variable passing and extensions

       In general variables are passed to the pgplot routines by using
       "get_dataref" to get the reference to the values. Before passing to
       pgplot routines however, the data are checked to see if they are in
       accordance with the format (typically dimensionality) required by the
       PGPLOT routines.  This is done using the routine "checkarg" (internal
       to PGPLOT). This routine checks the dimensionality of the input data.
       If there are superfluous dimensions of size 1 they will be trimmed away
       until the dimensionality is correct. Example:

       Assume a piddle with dimensions (1,100,1,1) is passed to "line", which
       expects its inputs to be vectors. "checkarg" will then return a piddle
       with dimensions (100). If instead the same piddle was passed to "imag",
       which requires 2D piddles as output, "checkarg" would return a piddle
       with dimensionality (100, 1) (Dimensions are removed from the start)

       Thus, if you want to provide support for another PGPLOT function, the
       structure currently look like this (there are plans to use the Options
       package to simplify the options parsing):

        # Extract the hash(es) on the commandline
        ($arg, $opt)=_extract_hash(@_);
        <Check the number of input parameters>
        <deal with $arg>
        checkarg($x, 3); # For a hypothetical 3D routine.
        &catch_signals;
        ...
        pgcube($n, $x->get_dataref);
        &release_signals;
        1;

       (the catch_signals/release_signals pair prevent problems with the perl-
       PGPLOT interface if the user hits c-C during an operation).

       Setting options

       All routines in this package take a hash with options as an optional
       input. This options hash can be used to set parameters for the
       subsequent plotting without going via the PGPLOT commands.

       This is implemented such that the plotting settings (such as line
       width, line style etc.) are affected only for that plot, any global
       changes made, say, with "pgslw()" are preserved. Some modifications
       apply when using the OO interface, see below.

       Alphabetical listing of standard options

       The following options are always parsed. Whether they have any impor-
       tance depend on the routine invoked - e.g. line style is irrelevant for
       "imag", or the "justify" option is irrelevant if the display is on
       'hold'.  This is indicated in the help text for the commands below.

       The options are not case sensitive and will match for unique sub-
       strings, but this is not encouraged as obscure options might invalidate
       what you thought was a unique substring.

       In the listing below examples are given of each option. The actual
       option can then be used in a plot command by specifying it as an argu-
       ment to the function wanted (it can be placed anywhere in the command
       list).

       E.g:

        $opt={COLOR=>2};
        line $x, $y, $opt; # This will plot a line with red color

       If you are plotting to a hardcopy device then a number of options use a
       different name:

         HardLW   instead of LineWidth
         HardCH   instead of CharSize
         HardFont instead of Font

         HardAxisColour instead of AxisColour
         HardColour     instead of Colour

       [although I'm not sure when HardColour is actually used]

       align
           If "pix" is set, then images and plots are not stretched to fill
           the plot area.  the "align" string tells how to align them within
           the available area.  'L' and 'R' shove the plot against the left
           and right edges, respectively; 'B' and 'T' shove the plot against
           the bottom and top edges.  The default is to center the image.
           e.g. 'BL' puts the image on the bottom left corner, while 'CT' cen-
           ters the image horizontally while placing it at the top of the
           available plot area.  This defaults to 'BT' for non-justified
           images, to 'CC' for justified images.

       arrow
           This options allows you to set the arrow shape, and optionally size
           for arrows for the vect routine. The arrow shape is specified as a
           hash with the key FS to set fill style, ANGLE to set the opening
           angle of the arrow head, VENT to set how much of the arrow head is
           cut out and SIZE to set the arrowsize.

           The following

            $opt = {ARROW => {FS=>1, ANGLE=>60, VENT=>0.3, SIZE=>5}};

           will make a broad arrow of five times the normal size.

           Alternatively the arrow can be specified as a set of numbers corre-
           sponding to an extention to the syntax for pgsah. The equivalent to
           the above is

            $opt = {ARROW => pdl([1, 60, 0.3, 5})};

           For the latter the arguments must be in the given order, and if any
           are not given the default values of 1, 45, 0.3 and 1.0 respectively
           will be used.

       arrowsize
           The arrowsize can be specified separately using this option to the
           options hash. It is useful if an arrowstyle has been set up and one
           wants to plot the same arrow with several sizes. Please note that
           it is not possible to set arrowsize and character size in the same
           call to a plotting function. This should not be a problem in most
           cases.

            $opt = {ARROWSIZE => 2.5};

       axis
           Set the axis value (see "env").  If you pass in a scalar you set
           the axis for the whole plot.  You can also pass in an array ref for
           finer control of the axes.

           If you set the option to a scalar value, you get one of a few stan-
           dard layouts.  You can specify them by name or by number:

            EMPTY  (-2) draw no box, axes or labels
            BOX    (-1) draw box only
            NORMAL (0)  draw box and label it with coordinates
            AXES   (1)  same as NORMAL, but also draw (X=0,Y=0) axes
            GRID   (2)  same as AXES, but also draw grid lines
            LOGX   (10) draw box and label X-axis logarithmically
            LOGY   (20) draw box and label Y-axis logarithmically
            LOGXY  (30) draw box and label both axes logarithmically

           When using logarithmic axes ("LOGX", "LOGY" and "LOGXY") you nor-
           mally need to log the data yourself, e.g.

             line $x->log10, $y, {axis=>'LOGX'};

           For your convenience you can put PDL::Graphics::PGPLOT into autolog
           mode. In this mode a call to "line" or "points" will log the data
           for you and you can pass in the unmodified data, e.g.

             autolog(1); # enable automatic logarithm calculation
             line $x, $y, {axis=>'LOGX'}; # automatically displays logged x data

           You can use the function interface to enable autologging:

             autolog(1);

           or use it with a window reference (mode switching on a per window
           basis)

             $win->autolog(1);

           "autolog" without arguments returns the current autolog setting
           (0=off, 1=on).

           If you set the "AXIS" option to an array ref, then you can specify
           the box/axis options separately for the horizontal (ordinate; X
           coordinate; 0th element) and vertical (abscissa; Y coordinate; 1st
           element)) axes.  Each element of the array ref should contain a
           PGPLOT format string.  Presence or absence of specific characters
           flags particular options.  For normal numeric labels, the options
           are:

             A : draw axis for this dimension.
             B : draw bottom (X) or left (Y) edge of frame.
             C : draw top (X) or right (Y) edge of frame.
             G : draw Grid of vertical (X) or horizontal (Y) lines.
             I : Invert ticks: draw them outside the plot rather than inside.
             L : Label the axis Logarithmically.
             P : Extend ("Project") major tick marks outside the box.
             M : Numeric labels go in the alternate place above (X) or to the
                      right (Y) of the viewport.
             N : Numeric labels go in the usual location below (X) or to the
                      left  (Y) of the viewport
             T : Draw major tick marks at the major coordinate interval.
             S : Draw minor tick marks (subticks).
             V : Orient numeric labels Vertically.  Only applicable to Y.
                      (The default is to write them parallel to the axis.)
             1 : Force decimal labelling, instead of automatic choice
             2 : Force exponential labeling, instead of automatic.

           If you don't specify any axis value at all, the default is
           ['BCNST','BCNST'] for plots and ['BCINST','BCINST'] for images.
           (These list ref elements are handed on directly to the low-level
           PGPLOT routines).

           In addition, you can specify that your axis labels should be
           printed as days, hours, minutes, and seconds (ideal for julian
           dates and delta-t, or for angular quantities).  You do that by set-
           ting additional character flags on the affected axis:

             X : Use HH MM SS.S time labeling rather than conventional numeric
                 labels.  The ordinate is in secsonds. Hours roll over at 24.
             Y : Like 'X' but the hour field runs past 24 if necessary.
             Z : Like 'X' but with a days field too (only shown where nonzero).
             H : Label the numbers with superscript d, h, m, and s symbols.
             D : Label the numbers with superscript o, ', and '' symbols.
             F : Omit first (lowest/leftmost) label; useful for tight layouts.
             O : Omit leading zeroes in numbers under 10 (e.g. " 3h 3m 1.2s"
                 rather than "03h 03m 01.2s").

           For example, to plot a numeric quantity versus Julian day of the
           year in a standard boxed plot with tick marks, you can use ["BNC-
           STZHO","BCNST"].

       border
           Normally the limits are chosen so that the plot just fits; with
           this option you can increase (or decrease) the limits by either a
           relative (ie a fraction of the original axis width) or an absolute
           amount.  Either specify a hash array, where the keys are "TYPE"
           (set to 'relative' or 'absolute') and "VALUE" (the amount to change
           the limits by), or set to 1, which is equivalent to

            BORDER => { TYPE => 'rel', VALUE => 0.05 }

       charsize
           Set the character/symbol size as a multiple of the standard size.

            $opt = {CHARSIZE => 1.5}

           The HardCH option should be used if you are plotting to a hardcopy
           device.

       colour (or color)
           Set the colour to be used for the subsequent plotting. This can be
           specified as a number, and the most used colours can also be speci-
           fied with name, according to the following table (note that this
           only works for the default colour map):

             0 - WHITE    1 - BLACK     2 - RED      3 - GREEN    4 - BLUE
             5 - CYAN     6 - MAGENTA   7 - YELLOW   8 - ORANGE  14 - DARKGRAY
            16 - LIGHTGRAY

           However there is a much more flexible mechanism to deal with
           colour.  The colour can be set as a 3 or 4 element anonymous array
           (or piddle) which gives the RGB colours. If the array has four ele-
           ments the first element is taken to be the colour index to change.
           For normal work you might want to simply use a 3 element array with
           R, G and B values and let the package deal with the details. The
           R,G and B values go from 0 to 1.

           In addition the package will also try to interpret non-recognised
           colour names using the default X11 lookup table, normally using the
           "rgb.txt" that came with PGPLOT.

           For more details on the handling of colour it is best that the user
           consults the PGPLOT documentation. Further details on the handling
           of colour can be found in the documentation for the internal rou-
           tine "_set_colour".

           The HardColour option should be used if you are plotting to a hard-
           copy device [this may be untrue?].

       diraxis
           This sets the direction of the axes of a plot or image, when you
           don't explitly set them with the XRange and YRange options.  It's
           particularly useful when you want (for example) to put long wave-
           lengths (larger numbers) on the left hand side of your plot, or
           when you want to plot an image in (RA,dec) coordinates.

           You can use either a scalar or a two-element perl array.  If you
           set it to 0 (the default) then PDL will guess which direction you
           want to go.  If you set it to a positive number, the axis will
           always increase to the right. If you set it to a negative number,
           the axis will always increase to the left.

           For example, [0,0] is the default, which is usually right.  [1,1]
           tells PGPLOT to always increase the axis values up and to the
           right.  For a plot of intensity (y-axis) versus wavelength (x-axis)
           you could say [-1,1].

           This option is really only useful if you want to allow autoranging
           but need to set the direction that the axis goes.  If you use the
           ranging options ("XRange" and "YRange"), you can change the direc-
           tion by changing the order of the maximum and minimum values.  That
           direction will override "DirAxis".

       filltype
           Set the fill type to be used by "poly", "circle", "ellipse", and
           "rectangle" The fill can either be specified using numbers or name,
           according to the following table, where the recognised name is
           shown in capitals - it is case-insensitive, but the whole name must
           be specified.

            1 - SOLID
            2 - OUTLINE
            3 - HATCHED
            4 - CROSS_HATCHED

            $opt = {FILLTYPE => 'SOLID'};

           (see below for an example of hatched fill)

       font
           Set the character font. This can either be specified as a number
           following the PGPLOT numbering or name as follows (name in
           capitals):

            1 - NORMAL
            2 - ROMAN
            3 - ITALIC
            4 - SCRIPT

           (Note that in a string, the font can be changed using the escape
           sequences "\fn", "\fr", "\fi" and "\fs" respectively)

            $opt = {FONT => 'ROMAN'};

           gives the same result as

            $opt = {FONT => 2};

           The HardFont option should be used if you are plotting to a hard-
           copy device.

       hatching
           Set the hatching to be used if either fillstyle 3 or 4 is selected
           (see above) The specification is similar to the one for specifying
           arrows.  The arguments for the hatching is either given using a
           hash with the key ANGLE to set the angle that the hatch lines will
           make with the horizontal, SEPARATION to set the spacing of the
           hatch lines in units of 1% of "min(height, width)" of the view sur-
           face, and PHASE to set the offset the hatching. Alternatively this
           can be specified as a 1x3 piddle "$hatch=pdl[$angle, $sep,
           $phase]".

            $opt = {FILLTYPE => 'HATCHED',
                    HATCHING => {ANGLE=>30, SEPARATION=>4}};

           Can also be specified as

            $opt = {FILL=> 'HATCHED', HATCH => pdl [30,4,0.0]};

           For another example of hatching, see "poly".

       justify
           If "justify" is set true, then the plot axes are shrunk to fit the
           plot or image and it specifies the aspect ratio of pixel coordi-
           nates in the plot or image.  Setting justify=>1 will produce a cor-
           rect-aspect-ratio, shrink-wrapped image or plot; setting jus-
           tify=>0.5 will do the same thing but with a short and fat plot.
           The difference between "justify" and "pix" is that "pix" does not
           affect the shape of the axes themselves.

       linestyle
           Set the line style. This can either be specified as a number fol-
           lowing the PGPLOT numbering:

            1 - SOLID line
            2 - DASHED
            3 - DOT-DASH-dot-dash
            4 - DOTTED
            5 - DASH-DOT-DOT-dot

           or using name (as given in capitals above).  Thus the following two
           specifications both specify the line to be dotted:

            $opt = {LINESTYLE => 4};
            $varopt = {LINESTYLE => 'DOTTED'};

           The names are not case sensitive, but the full name is required.

       linewidth
           Set the line width. It is specified as a integer multiple of 0.13
           mm.

            $opt = {LINEWIDTH => 10}; # A rather fat line

           The HardLW option should be used if you are plotting to a hardcopy
           device.

       pitch
           Sets the number of data pixels per inch on the output device.  You
           can set the "unit" (see below) to change this to any other PGPLOT
           unit (millimeters, pixels, etc.).   Pitch is device independent, so
           an image should appear exactly the same size (e.g. "Pitch=>100" is
           100 dpi) regardless of output device.

       pix Sets the pixel aspect ratio height/width.  The height is adjusted
           to the correct ratio, while maintaining any otherwise-set pitch or
           scale in the horizontal direction.  Larger numbers yield tall,
           skinny pixels; smaller numbers yield short, fat pixels.

       scale
           Sets the number of output display pixels per data pixel.  You can
           set the "unit" (see below) to change this to number of PGPLOT units
           (inches, millimeters, etc.) per data pixel.  "scale" is deprecated,
           as it is not device-independent; but it does come in handy for
           quick work on digital displays, where aliasing might otherwise
           interfere with image interpretation.  For example, "scale=>1" dis-
           plays images at their native resolution.

       Panel
           It is possible to define multiple plot ``panels'' with in a single
           window (see the NXPanel and NYPanel options in the constructor).
           You can explicitly set in which panel most plotting commands occur,
           by passing either a scalar or an array ref into the "Panel" option.
           There is also a panel method, but its use is deprecated because of
           a wart with the PGPLOT interface.

       plotting & imaging range
           Explicitly set the plot range in x and y. X-range and Y-range are
           set separately via the aptly named options "XRange" and "YRange".
           If omitted PGPLOT selects appropriate defaults (minimum and maximum
           of the data range in general). These options are ignored if the
           window is on hold.

             line $x, $y, {xr => [0,5]}; # y-range uses default
             line $x, $y, {XRange => [0,5], YRange => [-1,3]}; # fully specified range
             imag $im, {XRange => [30,50], YRange=>[-10,30]};
             fits_imag $im, {XRange=>[-2,2], YRange=>[0,1]};

           Imaging requires some thought if you don't want to lose a pixel off
           the edge of the image.  Pixels are value-centered (they are cen-
           tered on the coordinate whose value they represent), so the appro-
           priate range to plot the entirety of a 100x100 pixel image is
           "[-0.5,99.5]" on each axis.

OBJECT-ORIENTED INTERFACE
       This section will briefly describe how the PDL::Graphics::PGPLOT::Win-
       dow package can be used in an object-oriented (OO) approach and what
       the advantages of this would be. We will start with the latter

       Multiple windows.
           For the common user it is probably most interesting to use the OO
           interface when handling several open devices at the same time. If
           you have one variable for each plot device it is easier to dis-
           tribute commands to the right device at the right time. This is the
           angle we will take in the rest of this description.

       Coding and abstraction
           At a more fundamental level it is desirable to approach a situation
           where it is possible to have a generic plotting interface which
           gives access to several plotting libraries, much as PGPLOT gives
           access to different output devices. Thus in such a hypothetical
           package one would say:

             my $win1 = Graphics::new('PGPLOT', {Device => '/xs'});
             my $win2 = Graphics::new('gnuplot', {Background => 'Gray'};

           From a more practical point of of view such abstraction also comes
           in handy when you write a large program package and you do not want
           to import routines nilly-willy in which case an OO approach with
           method calls is a lot cleaner.

           The pgwin exported constructor, arguably, breaks this philosophy;
           hopefully it will ``wither away'' when other compatible modules are
           available.

       Anyway, enough philosophizing, let us get down to Earth and give some
       examples of the use of OO PGPLOT. As an example we will take Odd (which
       happens to be a common Norwegian name) who is monitoring the birth of
       rabbits in O'Fib-o-nachy's farm (alternatively he can of course be mon-
       itoring processes or do something entirely different). Odd wants the
       user to be able to monitor both the birth rates and accumulated number
       of rabbits and the spatial distribution of the births. Since these are
       logically different he chooses to have two windows open:

         $rate_win = PDL::Graphics::PGPLOT::Window->new(Device => '/xw',
                     Aspect => 1, WindowWidth => 5, NXPanel => 2);

         $area_win = PDL::Graphics::PGPLOT::Window->new(Device => '/xw',
                     Aspect => 1, WindowWidth => 5);

       See the documentation for new below for a full overview of the options
       you can pass to the constructor.

       Next, Odd wants to create plotting areas for subsequent plots and maybe
       show the expected theoretical trends

         $rate_win->env(0, 10, 0, 1000, {XTitle => 'Days', YTitle => '#Rabbits'});
         $rate_win->env(0, 10, 0, 100, {Xtitle=>'Days', Ytitle => 'Rabbits/day'});

         $area_win->env(0, 1, 0, 1, {XTitle => 'Km', Ytitle => 'Km'});
         # And theoretical prediction.
         $rate_win->line(sequence(10), fibonacci(10), {Panel => [1, 1]});

       That is basically it. The commands should automatically focus the rele-
       vant window. Due to the limitations of PGPLOT this might however lead
       you to plot in the wrong panel... The package tries to be smart and do
       this correctly, but might get it wrong at times.

STATE and RECORDING
       A new addition to the graphics interface is the ability to record plot
       commands. This can be useful when you create a nice-looking plot on the
       screen that you want to re-create on paper for instance. Or if you want
       to redo it with slightly changed variables for instance. This is still
       under development and views on the interface are welcome.

       The functionality is somewhat detached from the plotting functions
       described below so I will discuss them and their use here.

       Recording is off by default. To turn it on when you create a new device
       you can set the "Recording" option to true, or you can set the
       $PDL::Graphics::PGPLOT::RECORDING variable to 1. I recommend doing the
       latter in your ".perldlrc" file at least since you will often have use
       for recording in the perldl script.

       Use of recording

       The recording is meant to help you recreate a plot with new data or to
       a different device. The most typical situation is that you have created
       a beautiful plot on screen and want to have a Postscript file with it.
       In the dreary old world you needed to go back and execute all commands
       manually, but with this wonderful new contraption, the recorder, you
       can just replay your commands:

         dev '/xs', {Recording => 1}
         $x = sequence(10)
         line $x, $x**2, {Linestyle => 'Dashed'}
         $s = retrieve_state() # Get the current tape out of the recorder.
         dev '/cps'
         replay $s

       This should result in a "pgplot.ps" file with a parabola drawn with a
       dashed line. Note the command "retrieve_state" which retrieves the cur-
       rent state of the recorder and return an object (of type PDL::Graph-
       ics::State) that is used to replay commands later.

       Controlling the recording

       Like any self-respecting recorder you can turn the recorder on and off
       using the "turn_on_recording" and "turn_off_recording" respectively.
       Likewise you can clear the state using the "clear_state" command.

         $w=PDL::Graphics::PGPLOT::Window->new(Device => '/xs');
         $w->turn_on_recording;
         $x=sequence(10); $y=$x*$x;
         $w->line($x, $y);
         $w->turn_off_recording;
         $w->line($y, $x);
         $w->turn_on_recording;
         $w->line($x, $y*$x);
         $state = $w->retrieve_state();

       We can then replay $state and get a parabola and a cubic plot.

         $w->replay($state);

       Tips and Gotchas!

       The data are stored in the state object as references to the real data.
       This leads to one good and one potentially bad consequence:

       The good is that you can create the plot and then subsequently redo the
       same plot using a different set of data. This is best explained by an
       example. Let us first create a simple gradient image and get a copy of
       the recording:
             $im = sequence(10,10)
             imag $im
             $s=retrieve_state

           Now this was a rather dull plot, and in reality we wanted to show
           an image using "rvals". Instead of re-creating the plot (which of
           course here would be the simplest option) we just change $im:

             $im -= sequence(10,10)
             $im += rvals(10,10)

           Now replay the commands

             replay $s

           And hey presto! A totally different plot. Note however the trickery
           required to avoid losing reference to $im

       This takes us immediately to the major problem with the recording
       though. Memory leakage! Since the recording keeps references to the
       data it can keep data from being freed (zero reference count) when you
       expect it to be. For instance, in this example, we lose totally track
       of the original $im variable, but since there is a reference to it in
       the state it will not be freed
             $im = sequence(1000,1000)
             imag $im
             $s = retrieve_state
             $im = rvals(10,10)

           Thus after the execution of these commands we still have a refer-
           ence to a 1000x1000 array which takes up a lot of memory...

           The solution is to call "clear" on the state variable:

             $s->clear()

           (This is done automatically if the variable goes out of scope). I
           forsee this problem to most acute when working on the "perldl" com-
           mand line, but since this is exactly where the recording is most
           useful the best advice is just to be careful and call clear on
           state variables.

           If you are working with scripts and use large images for instance I
           would instead recommend that you do not turn on recording unless
           you need it.

FUNCTIONS
       A more detailed listing of the functions and their usage follows. For
       all functions we specify which options take effect and what other
       options exist for the given function. The function descriptions below
       are all given for the non-OO usage for historical reasons, but since
       the conversion to an OO method is trivial there is no major need for
       concern. Whenever you see a function example of the form

         Usage: a_simple_function($x, $y, $z [, $opt]);

       and you wish to use the OO version, just let your mind read the above
       line as:

         Usage: $win->a_simple_function($x, $y, $z [, $opt]);

       where $win is a PDL::Graphics::PGPLOT::Window object. That is all.

       Window control functions.


       pgwin

       Exported constructor for PGPLOT object/device/plot window.

        Usage: pgwin($opt);
        Usage: pgwin($option->$value,...);
        Usage: pgwin($device);

       Parameters are passed on to new() and can either be specified by hash
       reference or as a list.

       See the documentation fo PDL::Graphics::PGPLOT::Window::new for
       details.

       Because pgwin is a convenience function, you can specify the device by
       passing in a single non-ref parameter.  For even further convenience,
       you can even omit the '/' in the device specifier, so these two lines
       deliver the same result:

           $a = pgwin(gif);
           $a = new PDL::Graphics::PGPLOT::Window({Dev=>'/gif'});

       new

       Constructor for PGPLOT object/device/plot window.

         Usage: PDL::Graphics::PGPLOT::Window->new($opt);
         Usage: PDL::Graphics::PGPLOT::Window->new($option=>$value,...);

       Options to new() can either be specified via a reference to a hash

         $win = PDL::Graphics::PGPLOT::Window->new({Dev=>'/xserve',ny=>2});

       or directly, as an array

         # NOTE: no more {} !
         $win = PDL::Graphics::PGPLOT::Window->new(Dev=>'/xserve',ny=>2);

       The following lists the recognised options:

       AspectRatio
           The aspect ratio of the image, in the sense vertical/horizontal.
           See the discussion on size setting.

       Device
           The type of device to use. The syntax of this is the one used by
           PGPLOT.

       Hold
           Hold the plot window so that subsequent plots can plot over exist-
           ing plots.  This can be adjusted with the "hold()" and "release()"
           methods.

       NXPanel
           The number of panels in the X-direction

       NYPanel
           The number of panels in the Y-direction

       Size
           Yet another way to identify the plot window size -- this takes a
           scalar or an array ref containing one, two, or three numbers.  One
           number gives you a square window.  Two gives you a rectangular win-
           dow "(X,Y)".  Three lets you specify the unit compactly (e.g.
           "[<X>,<Y>,1]" for inches, "[<X>,<Y>,2]" for mm) but is deprecated
           in favor of using the "Unit" option.  See the discussion on size
           setting.

       Unit
           The unit to use for size setting.  PGPLOT accepts inch, mm, or
           pixel.  The default unit is inches for historical reasons, but you
           can choose millimeters or (God forbid) pixels as well.  String or
           numeric specifications are OK (0=normalized, 1=inches, 2=mm, 3=pix-
           els).  Normalized units make no sense here and are not accepted.
           Ideally someone will one day hook this into the CPAN units parser
           so you can specify window size in rods or attoparsecs.

       WindowName
           The name to give to the window. No particular use is made of this
           at present.  It would be great if it was possible to change the
           title of the window frame.

       WindowWidth
           The width of the window in inches (or the specified Unit).  See the
           discussion on size setting.

       WindowXSize and WindowYSize
           The width and height of the window in inches (or the specified
           Unit).  See the discussion on size setting.

       An important point to note is that the default values of most options
       can be specified by passing these to the constructor. All general
       options (common to several functions) can be adjusted in such a way,
       but function specific options can not be set in this way (this is a
       design limitation which is unlikely to be changed).

       Thus the following call will set up a window where the default axis
       colour will be yellow and where plot lines normally have red colour and
       dashed linestyle.

         $win = PDL::Graphics::PGPLOT::Window->new(Device => '/xs',
                 AxisColour => 'Yellow', Colour => 'Red', LineStyle => 'Dashed');

       Size setting: There are a gazillion ways to set window size, in keeping
       with TIMTOWTDI.  In general you can get away with passing any unique
       combination of an "<X>" size, a "<Y>"size, and/or an aspect ratio.  In
       increasing order of precedence, the options are: ("Units", "AspectRa-
       tio", "WindowWidth", "Window<X,Y>Size", "Size").

       So if you specify an AspectRatio *and* an X and a Y coordinate, the
       AspectRatio is ignored.  Likewise, if you specify Units and a three-
       component Size, the Units option is ignored in favor of the numeric
       unit in the Size.

       If you don't specify enough information to set the size of the window,
       you get the default pane size and shape for that device.

       close

       Close a plot window

         Usage: $win->close()

       Close the current window. This does not necessarily mean that the win-
       dow is removed from your screen, but it does ensure that the device is
       closed.

       A message will be printed to STDOUT giving the name of the file created
       if the plot was made to a hardcopy device and $PDL::verbose is true.

       held

       Check if a window is on hold

         $is_held = $win->held();

       Function to check whether the window is held or not.

       hold

       Hold the present window.

        Usage: $win->hold()

       Holds the present window so that subsequent plot commands overplots.

       panel

       Switch to a different panel

         $win->panel(<num>);

       Move to a different panel on the plotting surface. Note that you will
       need to erase it manually if that is what you require.

       This routine currently does something you probably don't want, and
       hence is deprecated for most use:  if you say

         $win->panel(1);
         $win->imag($image);

       then $image will actually be displayed in panel 2.  That's because the
       main plotting routines such as line and imag all advance the panel when
       necessary.  Instead, it's better to use the Panel option within plot-
       ting commands, if you want to set the panel explicitly.

       release

       Release a plot window.

          $win->release()

       Release a plot window so that subsequent plot commands move to the next
       panel or erase the plot and create a new plot.

       erase

       Erase plot

         $win->erase($opt);

       Erase a plot area. This accepts the option "Panel" or alternatively a
       number or array reference which makes it possible to specify the panel
       to erase when working with several panels.

       Plotting functions


       env

       Define a plot window, and put graphics on 'hold'

        $win->env( $xmin, $xmax, $ymin, $ymax, [$justify, $axis] );
        $win->env( $xmin, $xmax, $ymin, $ymax, [$options] );

       $xmin, $xmax, $ymin, $ymax are the plot boundaries.  $justify is a
       boolean value (default is 0); if true the axes scales will be the same
       (see "justify").  $axis describes how the axes should be drawn (see
       "axis") and defaults to 0.

       If the second form is used, $justify and $axis can be set in the
       options hash, for example:

        $win->env( 0, 100, 0, 50, {JUSTIFY => 1, AXIS => 'GRID',
                                   CHARSIZE => 0.7} );

       In addition the following options can also be set for "env":

       PlotPosition
           The position of the plot on the page relative to the view surface
           in normalised coordinates as an anonymous array. The array should
           contain the lower and upper X-limits and then the lower and upper
           Y-limits. To place two plots above each other with no space between
           them you could do

             $win->env(0, 1, 0, 1, {PlotPosition => [0.1, 0.5, 0.1, 0.5]});
             $win->env(5, 9, 0, 8, {PlotPosition => [0.1, 0.5, 0.5, 0.9]});

       Axis, Justify, Border
           See the description of general options for these options.

       AxisColour
           Set the colour of the coordinate axes.

       XTitle, YTitle, Title, Font, CharSize
           Axes titles and the font and size to print them.

       label_axes

       Label plot axes

         $win->label_axes(<xtitle>, <ytitle>, <plot title>, $options);

       Draw labels for each axis on a plot.

       imag

       Display an image (uses "pgimag()"/"pggray()" as appropriate)

        $win->imag ( $image,  [$min, $max, $transform], [$opt] )

       NOTES

       $transform for image/cont etc. is used in the same way as the "TR()"
       array in the underlying PGPLOT FORTRAN routine but is, fortunately,
       zero-offset. The transform() routine can be used to create this piddle.

       If $image is two-dimensional, you get a grey or pseudocolor image using
       the scalar values at each X,Y point.  If $image is three-dimensional
       and the third dimension has order 3, then it is treated as an RGB true-
       color image via rgbi.

       There are several options related to scaling.  By default, the image is
       scaled to fit the PGPLOT default viewport on the screen.  Scaling,
       aspect ratio preservation, and 1:1 pixel mapping are available.  (1:1
       pixel mapping is useful for avoiding display artifacts, but it's not
       recommended for final output as it's not device-independent.)

       Here's an additional complication: the "pixel" stuff refers not (neces-
       sarily) to normal image pixels, but rather to transformed image pixels.
       That is to say, if you feed in a transform matrix via the "TRANSFORM"
       option, the "PIX", "SCALE", etc. options all refer to the transformed
       coordinates and not physical image pixels.  That is a Good Thing
       because it, e.g., lets you specify plate scales of your output plots
       directly!  See fits_imag for an example application.  If you do not
       feed in a transform matrix, then the identity matrix is applied so that
       the scaling options refer to original data pixels.

       To draw a colour bar (or wedge), either use the "DrawWedge" option, or
       the "draw_wedge()" routine (once the image has been drawn).

       Options recognised:

       ITF
          the image transfer function applied to the pixel values.  It may be
          one of 'LINEAR', 'LOG', 'SQRT' (lower case is acceptable). It
          defaults to 'LINEAR'.

       MIN
          Sets the minimum value to be used for calculation of the color-table
          stretch.

       MAX
          Sets the maximum value for the same.

       RANGE
          A more compact way to specify MIN and MAX, as a list: you can say
          "Range=>[0,10]" to scale the color table for brightness values
          between 0 and 10 in the iamge data.

       CRANGE
          Image values between MIN and MAX are scaled to an interval in nor-
          malized color domain space, on the interval [0,1], before lookup in
          the window's color table. CRANGE lets you use only a part of the
          color table by specifying your own range -- e.g. if you say
          "CRange=>[0.25,0.75]" then only the middle half of the pseudocolor
          space will be used.  (See the writeup on ctab().)

       TRANSFORM
          The PGPLOT transform 'matrix' as a 6x1 vector for display

       DrawWedge
          set to 1 to draw a colour bar (default is 0)

       Wedge
          see the draw_wedge() routine

       The following standard options influence this command:

        AXIS, BORDER, JUSTIFY, SCALE, PIX, PITCH, ALIGN, XRANGE, YRANGE

          To see an image with maximum size in the current window, but square
          pixels, say:
                $win->imag( $a, { PIX=>1 } );
          An alternative approach is to try:
                $win->imag( $a, { JUSTIFY=>1 } );
          To see the same image, scaled 1:1 with device pixels, say:
                $win->imag( $a, { SCALE=>1 } );
          To see an image made on a device with 1:2 pixel aspect ratio, with
          X pixels the same as original image pixels, say
                $win->imag( $a, { PIX=>0.5, SCALE=>2 } );
          To display an image at 100 dpi on any device, say:
                $win->imag( $a, { PITCH=>100 } );
          To display an image with 100 micron pixels, say:
                $win->imag( $a, { PITCH=>10, UNIT=>'mm' } );

       imag1

       Display an image with correct aspect ratio

        $win->imag1 ( $image, [$min, $max, $transform], [$opt] )

       This is syntactic sugar for

         $win->imag( { PIX=>1, ALIGN=>'CC' } );

       rgbi

       Display an RGB color image

       The calling sequence is exactly like "imag", except that the input
       image must have three dimensions: "N x M x 3".  The last dimension is
       the (R,G,B) color value.  This routine requires pgplot 5.3devel or
       later.  Calling rgbi explicitly is not necessary, as calling image with
       an appropriately dimensioned RGB triplet makes it fall through to rgbi.

       fits_imag

       Display a FITS image with correct axes

         $win->fits_imag( image,  [$min, $max], [$opt] );

       NOTES

       Titles:
          Currently fits_imag also generates titles for you by default and
          appends the FITS header scientific units if they're present.  So if
          you say

            $pdl->hdr->{CTYPE1} = "Flamziness";
            $pdl->hdr->{CUNIT1} = "milliBleems";
            $win->fits_imag($pdl);

          then you get an X title of "Flamziness (milliBleems)".  But you can
          (of course) override that by specifying the XTitle and YTitle
          switches:

            $win->fits_imag($pdl,{Xtitle=>"Arbitrary"});

          will give you "Arbitrary" as an X axis title, regardless of what's
          in the header.

       Scaling and aspect ratio:
          If CUNIT1 and CUNIT2 (or, if they're missing, CTYPE1 and CTYPE2)
          agree, then the default pixel aspect ratio is 1 (in scientific
          units, NOT in original pixels).  If they don't agree (as for a spec-
          trum) then the default pixel aspect ratio is adjusted automatically
          to match the plot viewport and other options you've specified.

          You can override the image scaling using the SCALE, PIX, or PITCH
          options just as with the imag() method -- but those parameters refer
          to the scientific coordinate system rather than to the pixel coordi-
          nate system (e.g. "PITCH=>100" means "100 scientific units per
          inch", and "SCALE=>1" means "1 scientific unit per device pixel".
          See the imag() writeup for more info on these options.

          The default value of the "ALIGN" option is 'CC' -- centering the
          image both vertically and horizontally.

       Axis direction:
          By default, fits_imag tries to guess which direction your axes are
          meant to go (left-to-right or right-to-left) using the CDELT key-
          words: if "CDEL1" is negative, then rather than reflecting the image
          fits_imag will plot the X axis so that the highest values are on the
          left.

          This is the most convenient behavior for folks who use calibrated
          (RA,DEC) images, but it is technically incorrect.  To force the
          direction, use the DirAxis option.  Setting "DirAxis=>1" (abbrevi-
          ated "di=>1") will force the scientific axes to increase to the
          right, reversing the image as necessary.

       Color wedge:
          By default fits_imag draws a color wedge on the right; you can
          explicitly set the "DrawWedge" option to 0 to avoid this.  Use the
          "WTitle" option to set the wedge title.

       Alternate WCS coordinates:
          The default behaviour is to use the primary/default WCS information
          in the FITS header (i.e. the "CRVAL1","CRPIX1",... keywords). The
          Greisen et al. standard (<http://fits.cv.nrao.edu/docu-
          ments/wcs/wcs.html>) allows alternative/additional mappings to be
          included in a header; these are denoted by the letters "A" to "Z".
          If you know that your image contains such a mapping then you can use
          the "WCS" option to select the appropriate letter. For example, if
          you had read in a Chandra image created by the CIAO software package
          then you can display the image in the "physical" coordinate system
          by saying:

            $win->fits_imag( $pdl, { wcs => 'p' } );

          The identity transform is used if you select a mapping for which
          there is no information in the header.  Please note that this suport
          is experimental and is not guaranteed to work correctly; please see
          the documentation for the _FITS_tr routine for more information.

       fits_rgbi

       Display an RGB FITS image with correct axes

         $win->fits_rgbi( image, [$min,$max], [$opt] );

       Works exactly like fits_imag, but the image must be in (X,Y,RGB) form.
       Only the first two axes of the FITS header are examined.

       fits_cont

       Draw contours of an image, labelling the axes using the WCS information
       in the FITS header of the image.

         $win->fits_cont( image, [$contours, $transform, $misval], [$opt] )

       Does the same thing for the cont routine that fits_imag does for the
       imag routins.

       draw_wedge

       Add a wedge (colour bar) to an image.

        $win->draw_wedge( [$opt] )

       Adds a wedge - shows the mapping between colour and value for a pixel -
       to the current image.  This can also be achieved by setting "DrawWedge"
       to 1 when calling the "imag" routine.

       The colour and font size are the same as used to draw the image axes
       (although this will probably fail if you did it yourself).  To control
       the size and location of the wedge, use the "Wedge" option, giving it a
       hash reference containing any of the following:

       Side
           Which side of the image to draw the wedge: can be one of 'B', 'L',
           'T', or 'R'. Default is 'R'.

       Displacement
           How far from the egde of the image should the wedge be drawn, in
           units of character size. To draw within the image use a negative
           value. Default is 1.5.

       Width
           How wide should the wedge be, in units of character size.  Default
           is 2.

       Label
           A text label to be added to the wedge.  If set, it is probably
           worth increasing the "Width" value by about 1 to keep the text
           readable.  Default is ''.  This is equivalent to the "WTitle"
           option to imag, fits_imag, and similar methods.

       ForeGround (synonym Fg)
           The pixel value corresponding to the "maximum" colour.  If "undef",
           uses the value used by "imag" (recommended choice).  Default is
           "undef".

       BackGround (synonym Bg)
           The pixel value corresponding to the "minimum" colour.  If "undef",
           uses the value used by "imag" (recommended choice).  Default is
           "undef".

        $a = rvals(50,50);
        $win = PDL::Graphics::PGPLOT::Window->new();
        $win->imag( $a, { Justify => 1, ITF => 'sqrt' } );
        $win->draw_wedge( { Wedge => { Width => 4, Label => 'foo' } } );
        # although the following might be more sensible
        $win->imag( $a, { Justify => 1, ITF => 'sqrt', DrawWedge => 1,
            Wedge => { Width => 4, Label => 'foo'} } );

       ctab

       Load an image colour table.

        Usage:

          ctab ( $name, [$contrast, $brightness] ) # Builtin col table
          ctab ( $ctab, [$contrast, $brightness] ) # $ctab is Nx4 array
          ctab ( $levels, $red, $green, $blue, [$contrast, $brightness] )
          ctab ( '', $contrast, $brightness ) # use last color table

       Note: See PDL::Graphics::LUT for access to a large number of colour
       tables.

       Notionally, all non-RGB images and vectors have their colors looked up
       in the window's color table.  Colors in images and such are scaled to a
       normalized pseudocolor domain on the line segment [0,1]; the color ta-
       ble is a piecewise linear function that maps this one-dimensional scale
       to the three-dimensional normalized RGB color space [0,1]^3.

       You can specify specific indexed colors by appropriate use of the (lev-
       els,red,green,blue) syntax -- but that is deprecated, since the actual
       available number of colors can change depending on the output device.
       (Someone needs to write a specific hardware-dependent lookup table
       interface).

       See also imag for a description of how to use only part of the color
       table for a particular image.

       ctab_info

       Return information about the currently loaded color table

       autolog

       Turn on automatic logarithmic scaling in "line" and "points"

         Usage:  autolog([0|1]);

       Setting the argument to 1 turns on automatic log scaling and setting it
       to zero turns it off again. The function can be used in both the object
       oriented and standard interface. To learn more, see the documentation
       for PDL::Graphics::PGPLOT::Window.

          my $win = PDL::Graphics::PGPLOT::Window->new(dev=>'/xserve');
          my $x=sequence(10);
          my $y=$x*$x+1;

          $win->autolog(1);
          $win->line($x,$y, {Axis => 'LogY'});

       line

       Plot vector as connected points

       If the 'MISSING' option is specified, those points in the $y vector
       which are equal to the MISSING value are not plotted, but are skipped
       over.  This allows one to quickly draw multiple lines with one call to
       "line", for example to draw coastlines for maps.

        Usage: line ( [$x,] $y, [$opt] )

       The following standard options influence this command:

        AXIS, BORDER, COLO(U)R, LINESTYLE, LINEWIDTH, MISSING,
        JUSTIFY, SCALE, PITCH, PIX, ALIGN

        $x = sequence(10)/10.;
        $y = sin($x)**2;
        # Draw a red dot-dashed line
        line $x, $y, {COLOR => 'RED', LINESTYLE=>3};

       lines

       Plot a list of vectors as discrete sets of connected points

       This works much like line, but for discrete sets of connected points.
       There are two ways to break lines: you can pass in x/y coordinates just
       like in line, but with an additional "pen" piddle that indicates
       whether the pen is up or down on the line segment following each point
       (so you set it to zero at the end of each line segment you want to
       draw);  or you can pass in an array ref containing a list of single
       polylines to draw.

       Happily, there's extra meaning packed into the "pen" piddle: it multi-
       plies the COLO(U)R that you set, so if you feed in boolean values you
       get what you expect -- but you can also feed in integer or floating-
       point values to get multicolored lines.

       Furthermore, the sign bit of "pen" can be used to draw hairline seg-
       ments: if "pen" is negative, then the segment is drawn as though it
       were positive but with LineWidth and HardLW set to 1 (the minimum).

       Equally happily, even if you are using the array ref mechanism to break
       your polylines you can feed in an array ref of "pen" values to take
       advantage of the color functionality or further dice your polylines.

       Note that, unlike line, "lines" has no no specify-$y-only calling path.
       That's because "lines" is intended more for line art than for plotting,
       so you always have to specify both $x and $y.

       Infinite or bad values are ignored -- that is to say, if your vector
       contains a non-finite point, that point breaks the vector just as if
       you set pen=0 for both that point and the point before it.

        Usage: $w->( $x, $y, [$pen], [$opt] );
               $w->( $xy, [$pen], [$opt] );
               $w->( \@xvects, \@yvects, [\@pen], [$opt] );
               $w->( \@xyvects, [\@pen], [$opt] );

       The following standard options influence this command:
        AXIS, BORDER, COLO(U)R, LINESTYLE, LINEWIDTH, MISSING,
        JUSTIFY, SCALE, PITCH, PIX, ALIGN

       CAVEAT:

       Setting "pen" elements to 0 prevents drawing altogether, so you can't
       use that to draw in the background color.

       points

       Plot vector as points

        Usage: points ( [$x,] $y, [$symbol(s)], [$opt] )

       Options recognised:

          SYMBOL - Either a piddle with the same dimensions as $x, containing
                   the symbol associated to each point or a number specifying
                   the symbol to use for every point, or a name specifying the
                   symbol to use according to the following (recognised name in
                    capital letters):
                    0 - SQUARE   1 - DOT     2 - PLUS     3 - ASTERISK
                    4 - CIRCLE   5 - CROSS   7 - TRIANGLE 8 - EARTH
                    9 - SUN     11 - DIAMOND 12- STAR
        PLOTLINE - If this is >0 a line will be drawn through the points.

       The following standard options influence this command:

        AXIS, BORDER, CHARSIZE, COLOUR, LINESTYLE, LINEWIDTH,
        JUSTIFY, SCALE, PIX, PITCH, ALIGN

       "SymbolSize" allows to adjust the symbol size, it defaults to CharSize.

       The "ColorValues" option allows one to plot XYZ data with the Z axis
       mapped to a color value.  For example:

        use PDL::Graphics::LUT;
        ctab(lut_data('idl5')); # set up color palette to 'idl5'
        points ($x, $y, {ColorValues => $z});

        $y = sequence(10)**2+random(10);
        # Plot blue stars with a solid line through:
        points $y, {PLOTLINE => 1, COLOUR => BLUE, symbol => STAR}; # case insensitive

       errb

       Plot error bars (using "pgerrb()")

       Usage:

        errb ( $y, $yerrors, [$opt] )
        errb ( $x, $y, $yerrors, [$opt] )
        errb ( $x, $y, $xerrors, $yerrors, [$opt] )
        errb ( $x, $y, $xloerr, $xhierr, $yloerr, $yhierr, [$opt])

       Any of the error bar parameters may be "undef" to omit those error
       bars.

       Options recognised:

          TERM - Length of terminals in multiples of the default length
        SYMBOL - Plot the datapoints using the symbol value given, either
                 as name or number - see documentation for 'points'

       The following standard options influence this command:

        AXIS, BORDER, CHARSIZE, COLOUR, LINESTYLE, LINEWIDTH,
        JUSTIFY, SCALE, PIX, PITCH, ALIGN

        $y = sequence(10)**2+random(10);
        $sigma=0.5*sqrt($y);
        errb $y, $sigma, {COLOUR => RED, SYMBOL => 18};

        # plot X bars only
        errb( $x, $y, $xerrors, undef );

        # plot negative going bars only
        errb( $x, $y, $xloerr, undef, $yloerr, undef );

       cont

       Display image as contour map

        Usage: cont ( $image,  [$contours, $transform, $misval], [$opt] )

       Notes: $transform for image/cont etc. is used in the same way as the
       "TR()" array in the underlying PGPLOT FORTRAN routine but is, fortu-
       nately, zero-offset. The transform() routine can be used to create this
       piddle.

       Options recognised:

           CONTOURS - A piddle with the contour levels
             FOLLOW - Follow the contour lines around (uses pgcont rather than
                      pgcons) If this is set >0 the chosen linestyle will be
                      ignored and solid line used for the positive contours
                      and dashed line for the negative contours.
             LABELS - An array of strings with labels for each contour
        LABELCOLOUR - The colour of labels if different from the draw colour
                      This will not interfere with the setting of draw colour
                      using the colour keyword.
            MISSING - The value to ignore for contouring
          NCONTOURS - The number of contours wanted for automatical creation,
                      overridden by CONTOURS
          TRANSFORM - The pixel-to-world coordinate transform vector

       The following standard options influence this command:

        AXIS, BORDER, COLOUR, LINESTYLE, LINEWIDTH,
        JUSTIFY, SCALE, PIX, PITCH, ALIGN

        $x=sequence(10,10);
        $ncont = 4;
        $labels= ['COLD', 'COLDER', 'FREEZING', 'NORWAY']
        # This will give four blue contour lines labelled in red.
        cont $x, {NCONT => $ncont, LABELS => $labels, LABELCOLOR => RED,
                  COLOR => BLUE}

       bin

       Plot vector as histogram (e.g. "bin(hist($data))")

        Usage: bin ( [$x,] $data )

       Options recognised:

        CENTRE - if true, the x values denote the centre of the bin
                 otherwise they give the lower-edge (in x) of the bin
        CENTER - as CENTRE

       The following standard options influence this command:

        AXIS, BORDER, COLOUR, JUSTIFY, LINESTYLE, LINEWIDTH

       hi2d

       Plot image as 2d histogram (not very good IMHO...)

        Usage: hi2d ( $image, [$x, $ioff, $bias], [$opt] )

       Options recognised:

        IOFFSET - The offset for each array slice. >0 slants to the right
                                                   <0 to the left.
           BIAS - The bias to shift each array slice up by.

       The following standard options influence this command:

        AXIS, BORDER, JUSTIFY, SCALE, PIX, PITCH, ALIGN

       Note that meddling with the "ioffset" and "bias" often will require you
       to change the default plot range somewhat. It is also worth noting that
       if you have TriD working you will probably be better off using mesh3d
       or a similar command - see the PDL::Graphics::TriD module.

        $r=sequence(100)/50-1.0;
        $y=exp(-$r**2)*transpose(exp(-$r**2))
        hi2d $y, {IOFF => 1.5, BIAS => 0.07};

       arrow

       Plot an arrow

        Usage: arrow($x1, $y1, $x2, $y2, [, $opt]);

       Plot an arrow from "$x1, $y1" to "$x2, $y2". The arrow shape can be set
       using the option "Arrow". See the documentation for general options for
       details about this option (and the example below):

       Example:

         arrow(0, 1, 1, 2, {Arrow => {FS => 1, Angle => 1, Vent => 0.3, Size => 5}});

       which draws a broad, large arrow from (0, 1) to (1, 2).

       rect

       Draw a non-rotated rectangle

       Usage: rect ( $x1, $x2, $y1, $y2 )

       Options recognised:

       The following standard options influence this command:

        AXIS, BORDER, COLOUR, FILLTYPE, HATCHING, LINESTYLE,  LINEWIDTH
        JUSTIFY, SCALE, PIX, PITCH, ALIGN

       poly

       Draw a polygon

        Usage: poly ( $x, $y )

       Options recognised:

       The following standard options influence this command:

        AXIS, BORDER, COLOUR, FILLTYPE, HATCHING, LINESTYLE,  LINEWIDTH
        JUSTIFY, SCALE, PIX, PITCH, ALIGN

        # Fill with hatching in two different colours
        $x=sequence(10)/10;
        # First fill with cyan hatching
        poly $x, $x**2, {COLOR=>5, FILL=>3};
        hold;
        # Then do it over again with the hatching offset in phase:
        poly $x, $x**2, {COLOR=>6, FILL=>3, HATCH=>{PHASE=>0.5}};
        release;

       circle

       Plot a circle on the display using the fill setting.

        Usage: circle($x, $y, $radius [, $opt]);

       All arguments can alternatively be given in the options hash using the
       following options:

       XCenter and YCenter
           The position of the center of the circle

       Radius
           The radius of the circle.

       ellipse

       Plot an ellipse, optionally using fill style.

        Usage: ellipse($x, $y, $a, $b, $theta [, $opt]);

       All arguments can alternatively be given in the options hash using the
       following options:

       MajorAxis
           The major axis of the ellipse - this must be defined or $a must be
           given.

       MinorAxis
           The minor axis, like A this is required.

       Theta (synonym Angle)
           The orientation of the ellipse - defaults to 0.0. This is given in
           radians.

       XCenter and YCenter
           The coordinates of the center of the ellipse. These must be speci-
           fied or $x and $y must be given.

       NPoints
           The number of points used to draw the ellipse. This defaults to 100
           and might need changing in the case of very large ellipses.

       The routine also recognises the same standard options as accepted by
       poly.

       rectangle

       Draw a rectangle.

        Usage: rectangle($xcenter, $ycenter, $xside, $yside, [, $angle, $opt]);

       This routine draws a rectangle with the chosen fill style. Internally
       it calls poly which is somewhat slower than "pgrect" but which allows
       for rotated rectangles as well. The routine recognises the same options
       as "poly" and in addition the following:

       XCenter and YCenter
           The position of the center of the rectangle. XCentre and YCentre
           are valid synonyms.

       XSide and YSide
           The length of the X and Y sides. If only one is specified the shape
           is taken to be square with that as the side-length, alternatively
           the user can set Side

       Side
           The length of the sides of the rectangle (in this case a square) -
           syntactic sugar for setting XSide and YSide identical. This is
           overridden by XSide or YSide if any of those are set.

       Angle (synonym Theta)
           The angle at which the rectangle is to be drawn. This defaults to
           0.0 and is given in radians.

       vect

       Display 2 images as a vector field

        Usage: vect ( $w, $a, $b, [$scale, $pos, $transform, $misval], { opt } );
               $w->vect($a,$b,[$scale,$pos,$transform,$misval], { opt });

       Notes: $transform for image/cont etc. is used in the same way as the
       "TR()" array in the underlying PGPLOT FORTRAN routine but is, fortu-
       nately, zero-offset. The transform() routine can be used to create this
       piddle.

       This routine will plot a vector field. $a is the horizontal component
       and $b the vertical component.  The scale factor converts between vec-
       tor length units and scientific positional units.  You can set the
       scale, position, etc. either by passing in parameters in the normal
       parameter list or by passing in options.

       Options recognised:

            SCALE - Set the scale factor for vector lengths.
              POS - Set the position of vectors.
                    <0 - vector head at coordinate
                    >0 - vector base at coordinate
                    =0 - vector centered on the coordinate
        TRANSFORM - The pixel-to-world coordinate transform vector
          MISSING - Elements with this value are ignored.

       The following standard options influence this command:

        ARROW, ARROWSIZE, AXIS, BORDER, CHARSIZE, COLOUR,
        LINESTYLE, LINEWIDTH,

        $a=rvals(11,11,{Centre=>[5,5]});
        $b=rvals(11,11,{Centre=>[0,0]});
        vect $a, $b, {COLOR=>YELLOW, ARROWSIZE=>0.5, LINESTYLE=>dashed};

       fits_vect

       Display a pair of 2-D piddles as vectors, with FITS header interpreta-
       tion

        Usage: fits_vect ($a, $b, [$scale, $pos, $transform, $misval] )

       "fits_vect" is to vect as fits_imag is to imag.

       transform

       Create transform array for contour and image plotting

        $win->transform([$xdim,$ydim], $options);

       (For information on coordinate transforms, try PDL::Transform.)  This
       function creates a transform array in the format required by the image
       and contouring routines. You must call it with the dimensions of your
       image as arguments or pass these as an anonymous hash - see the example
       below.

       Angle
           The rotation angle of the transform, in radians.  Positive numbers
           rotate the image clockwise on the screen.

       ImageDimensions
           The dimensions of the image the transform is required for. The
           dimensions should be passed as a reference to an array.

       Pixinc
           The increment in output coordinate per pixel.

       ImageCenter (or ImageCentre)
           The centre of the image as an anonymous array or as a scalar, in
           scientific coordinates. In the latter case the x and y value for
           the center will be set equal to this scalar. This is particularly
           useful in the common case when the center is (0, 0).  (ImageCenter
           overrides RefPos if both are specified).

       RefPos (or ReferencePosition)
           If you wish to set a pixel other than the image centre to a given
           value, use this option. It should be supplied with a reference to
           an array containing 2 2-element array references, e.g.

            RefPos => [ [ $xpix, $ypix ], [ $xplot, $yplot ] ]

           This will label pixel "($xpix,$ypix)" as being at position
           "($xplot,$yplot)".  For example

            RefPos      => [ [100,74], [ 0, 0 ] ]

           sets the scientific coordinate origin to be at the center of the
           (100,74) pixel coordinate.  The pixel coordinates are pixel-cen-
           tered, and start counting from 0 (as all good pixel coordinates
           should).

       Example:

          $im = rvals(100, 100);
          $w = PDL::Graphics::PGPLOT::Window->new(Device => '/xs');
          $t = $w->transform(dims($im), {ImageCenter => 0,  Pixinc => 5});
          $w->imag($im, {Transform => $t});

       tline

       Threaded line plotting

        $win->tline($x, $y, $options);

       This is a threaded interface to "line". This is convenient if you have
       a 2D array and want to plot out every line in one go. The routine will
       apply any options you apply in a "reasonable" way. In the sense that it
       will loop over the options wrapping over if there are less options than
       lines.

       Example:

         $h={Colour => ['Red', '1', 4], Linestyle => ['Solid' ,'Dashed']};
         $tx=zeroes(100,5)->xlinvals(-5,5);
         $ty = $tx + $tx->yvals;
         $win->tline($tx, $ty, $h);

       tpoints

       A threaded interface to points

        Usage: tpoints($x, $y, $options);

       This is a threaded interface to "points". This is convenient if you
       have a 2D array and want to plot out every line in one go. The routine
       will apply any options you apply in a "reasonable" way. In the sense
       that it will loop over the options wrapping over if there are less
       options than lines.

       Example:

         $h={Colour => ['Red', '1', 4], Linestyle => ['Solid' ,'Dashed']};
         $tx=zeroes(100,5)->xlinvals(-5,5);
         $ty = $tx + $tx->yvals;
         tpoints($tx, $ty, $h);

       tcircle

       A threaded interface to circle

        Usage: tcircle($x, $y, $r, $options);

       This is a threaded interface to "circle". This is convenient if you
       have a list of circle centers and radii and want to draw every circle
       in one go.  The routine will apply any options you apply in a "reason-
       able" way, in the sense that it will loop over the options wrapping
       over if there are less options than circles.

       Example:

        $x=sequence(5);
        $y=random(5);
        $r=sequence(5)/10 + 0.1;
        $h={justify => 1,Color => ['red','green','blue'], filltype => ['solid','outline','hatched','cross_hatched']};
        tcircle($x, $y, $r, $h);

       Note that $x and $y must be the same size (>1D is OK, though meaning-
       less as far as "tcircle" is concerned). $r can be the same size as $x
       OR a 1-element piddle OR a single perl scalar.

       Text routines


       text

       Write text in a plot window at a specified position.

        Usage: text ($text, $x, $y [, $opt])

       Options recognised:

       "ANGLE"
           The angle in degrees between the baseline of the text and the
           horisontal (increasing counter-clockwise). This defaults to 0.

       "JUSTIFICATION"
           The justification of the text relative to the position specified.
           It defaults to 0.0 which gives left-justified text. A value of 0.5
           gives centered text and a value of 1.0 gives right-justified text.

       "XPos", "YPos", "Text"
           These gives alternative ways to specify the text and position.

       "BackgroundColour"
           This sets the background colour for the text in case an opaque
           background is desired. You can also use the synonyms "Bg" and
           "BackgroundColor".

       The following standard options influence this command:

          COLOUR, CHARSIZE

         line sequence(10), sequence(10)**2;
         text 'A parabola', 3, 9, {Justification => 1, Angle=>atan2(6,1)};

       legend

       Add a legend to a plot

        Usage: legend($text, $x, $y, [, $width], $opt]);

       This function adds a legend to an existing plot. The action is primar-
       ily controlled by information in the options hash, and the basic idea
       is that $x and $y determines the upper left hand corner of the box in
       which the legend goes. If the width is specified either as an argument
       or as an option in the option hash this is used to determine the opti-
       mal character size to fit the text into part of this width (defaults to
       0.5 - see the description of "TextFraction" below). The rest of the
       width is filled out with either lines or symbols according to the con-
       tent of the "LineStyle", "Symbol", "Colour" and "LineWidth" options.

       The local options recognised are as follows:

       "Text"
           An anonymous array of annotations, can also be specified directly.

       "XPos" and "YPos"
           The X and Y position of the upper left-hand corner of the text.

       "Width" and "Height"
           The width and/or height of each line (including symbol/line). This
           is used to determine the character size. If any of these are set to
           'Automatic' the current character size will be used.

       "TextFraction"
           The text and the symbol/line is set inside a box. "TextFraction"
           determines how much of this box should be devoted to text. This
           defaults to 0.5. You can also use "Fraction" as a synonym to this.

       "TextShift"
           This option allows for fine control of the spacing between the text
           and the start of the line/symbol. It is given in fractions of the
           total width of the legend box. The default value is 0.1.

       "VertSpace" or "VSpace"
           By default the text lines are separated by one character height (in
           the sense that if the separation were 0 then they would lie on top
           of each other). The "VertSpace" option allows you to increase (or
           decrease) this gap in units of the character height; a value of 0.5
           would add half a character height to the gap between lines, and
           -0.5 would remove the same distance.  The default value is 0.

       "BackgroundColour"
           This sets the background colour for the text in case an opaque
           background is desired. You can also use the synonyms "Bg" and
           "BackgroundColor".

         line $x, $y, {Color => 'Red', LineStyle => 'Solid'};
         line $x2, $y2, {Color => 'Blue', 'LineStyle' => 'Dashed', LineWidth => 10};

         legend ['A red line', 'A blue line'], 5, 5,
             {LineStyle => ['Solid', 'Dashed'], Colour => ['Red', 'Blue']
              LineWidth => [undef, 10]}; # undef gives default.

       Cursor routines


       cursor

       Interactively read cursor positions.

        Usage: ($x, $y, $ch, $xref, $yref) = cursor($opt)

       This routine has no standard input parameters, but the type of cursor
       can be set by setting the option "Type" as a key in the anonymous hash
       $opt. The first three return values from the function are always
       defined and gives the position selected by the user and the character
       pressed.

       Depending on the cursor type selected the last two arguments might also
       be defined and these give a reference position. For instance if the
       cursor is selected to be "Rectangle" then the reference position gives
       one of the corners of the rectangle and $x and $y the diagonally oppo-
       site one.

       Options recognised:

       XRef, YRef
           The reference position to be used

       Type
           The type of cursor. This can be selected using a number between 0
           and 7 as in PGPLOT, or alternatively you can specify these as,
           "Default" (0), "RadialLine" (1), "Rectangle" (2), "TwoHorizon-
           talLines" (3), "TwoVerticalLines" (4), "HorizontalLine" (5), "Ver-
           ticalLine" (6) and "CrossHair" (7) respectively. The default cursor
           is just the normal mouse cursor.

           For the "RadialLine" you must specify the reference point, whereas
           for the "Two(Vertical|Horizontal)Lines" cursor the X or Y reference
           point, respectively, must be specified.

       To select a region on a plot, use the rectangle cursor:

         ($x, $y, $ch, $xref, $yref) = cursor({Type => 'Rectangle'});
         poly pdl($x, $xref, $xref, $x, $x), pdl($y, $y, $yref, $yref, $y);

       To select a region of the X-axis:

         ($x1, $y1, $ch) = cursor({Type => 'VerticalLine'});
         ($x2, $y2, $ch) = cursor({Type => 'TwoVerticalLines', XRef => $x1});

       Internal routines


       signal_catcher, catch_signals, release_signals

       To prevent pgplot from doing a fandango on core, we have to block
       interrupts during PGPLOT calls.  Specifically, INT needs to get caught.
       These internal routines provide a mechanism for that.

       You simply bracket any PGPLOT calls with &catch_signals above and
       &release_signals below, and the signal_catcher will queue up any sig-
       nals (like INT -- the control-C interrupt) until the &release_signals
       call.

       Any exit path from your hot code must include &release_signals, or
       interrupts could be deferred indefinitely (which would be a bug).  This
       includes calls to &barf -- even barfs from someone you called!  So
       avoid calling out of the local module if possible, and use
       release_and_barf() instead of barf() from within this module.

       Perl 5.6.1 interrupt handling has a bug that this code tickles -- some-
       times the re-emitted signals vanish into hyperspace.  Perl 5.8 seems
       NOT to have that problem.

       _open_new_window

       Open a new window. This sets the window ID, which is the one used when
       accessing a window later using "pgslct". It also sets the window name
       to something easily remembered if it has not been set before.

       _setup_window

       This routine sets up a new window with its shape and size. This is also
       where the size options are actually parsed. These are then forgotten
       (well, they are stored in $self->{Options}) and the corresponding
       aspect ratio and window width is stored.  See the discussion under
       new() for the logic.

       Finally the subpanels are set up using "pgsubp" and colours and
       linewidth are adjusted according to whether we have a hardcopy device
       or not.

       _status

       This routine checks PGPLOT's status for the window. It returns OPEN if
       the window is open and CLOSED if it is closed.  (Windows can be closed
       but still exist).

       _reopen

       This functions reopens a window. Since this is an internal function it
       does not have a lot of error-checking. Make sure the device is closed
       before calling this routine.

       There is an unfortunate problem which pops up viz. that the window name
       cannot be changed at this point since we are offering that to the rest
       of the world. That might be sensible, but it means that the window name
       will not reflect the id of the window - use "id()" for that (this is
       also why we do not call "open_new_window" )

       _advance_panel

       This routine advances one plot panel, updating the CurrentPanel as
       well.  If the advance will proceed past the page the page will be
       erased. Also note that when you advance one panel the hold value will
       be changed.

       _check_move_or_erase

       This routine is a utility routine which checks if we need to move
       panel, and if so will do this. It also checks if it is necessary to
       advance panels, and whether they need to be erased.

       _thread_options

       This function is a cludgy utility function that expands an options hash
       to an array of hashes looping over options. This is mainly of use for
       "threaded" interfaces to standard plotting routines.

       options

       Access the options used when originally opening the window. At the
       moment this is not updated when the window is changed later.

       id

       Access the window ID that PGPLOT uses for the present window.

       device

       This function returns the device type of the present window.

       name

       Accessor to set and examine the name of a window.

       focus

       Set focus for subsequent PGPLOT commands to this window.

       info

       Get general information about the PGPLOT environment.

        @ans = $self->info( @item );

       The valid values of @item are as below, where case is not important:

         VERSION     - What PGPLOT version is in use.
         STATE       - The status of the output device, this is returns 'OPEN'.
                       if the device is open and 'CLOSED' otherwise.
         USER        - The username of the owner of the spawning program.
         NOW         - The current date and time in the format
                       'dd-MMM-yyyy hh:mm'. Most people are likely to use Perl
                       functions instead.
         DEVICE    * - The current PGPLOT device or file, see also device().
         FILE      * - The filename for the current device.
         TYPE      * - And the device type for the current device.
         DEV/TYPE  * - This combines DEVICE and TYPE in a form that can be used
                       as input to new.
         HARDCOPY  * - This is flag which is set to 'YES' if the current device is
                       a hardcopy device and 'NO' otherwise.
         TERMINAL  * - This flag is set to 'YES' if the current device is the
                       user's terminal and 'NO' otherwise.
         CURSOR    * - A flag ('YES' or 'NO') to inform whether the current device
                       has a cursor.

       Those items marced with a "*" only return a valid answer if the window
       is open.  A question mark ("?") is returned if the item is not recog-
       nised or the information is not available.

       _extract_hash

       This routine takes and array and returns the first hash reference found
       as well as those elements that are not hashes. Note the latter point
       because all other references to hashes in the array will be lost.

       _parse_unit

       Convert a unit string or number into a PGPLOT-certified length unit
       specification, or return undef if it won't go.

       _parse_options

       This is a convenience routine for parsing a set of options. It returns
       both the full set of options and those that the user has set.

       _save_status

       Saves the PGPLOT state so that changes to settings can be made and then
       the present state restored by "_restore_status".

       _restore_status

       Restore the PGPLOT state. See "_save_status".

       _checkarg

       This routine checks and optionally alters the arguments given to it.

       _set_colour

       This is an internal routine that encapsulates all the nastiness of set-
       ting colours depending on the different PGPLOT colour models (although
       HLS is not supported).

       The routine works in the following way:

       o       At initialisation of the plot device the work colour index is
               set to 16. The work index is the index the routine will modify
               unless the user has specified something else.

       o       The routine should be used after standard interpretation and
               synonym matching has been used. So if the colour is given as
               input is an integer that colour index is used.

       o       If the colour is a reference the routine checks whether it is
               an "ARRAY" or a "PDL" reference. If it is not an error message
               is given.  If it is a "PDL" reference it will be converted to
               an array ref.

       o       If the array has four elements the first element is interpreted
               as the colour index to modify and this overrules the setting
               for the work index used internally. Otherwise the work index is
               used and incremented until the maximum number of colours for
               the output device is reached (as indicated by "pgqcol"). Should
               you wish to change that you need to read the PGPLOT documenta-
               tion - it is somewhat device dependent.

       o       When the array has been recognised the R,G and B colours of the
               user-set index or work index is set using the "pgscr" command
               and we are finished.

       o       If the input colour instead is a string we try to set the
               colour using the PGPLOT routine "pgscrn" with no other
               error-checking. This should be ok,  as that routine returns a
               rather sensible error-message.

       _standard_options_parser

       This internal routine is the default routine for parsing options. This
       routine deals with a subset of options that most routines will accept.

       _image_xyrange

       Given a PGPLOT tr matrix and an image size, calculate the data world
       coordinates over which the image ranges.  This is used in imag and
       cont.  It keeps track of the required half-pixel offset to display
       images properly -- eg feeding in no tr matrix at all, nx=20, and ny=20
       will will return (-0.5,19.5,-0.5,19.5).  It also checks the options
       hash for XRange/YRange specifications and, if they are present, it
       overrides the appropriate output with the exact ranges in those fields.

       _FITS_tr

       Given a FITS image, return the PGPLOT transformation matrix to convert
       pixel coordinates to scientific coordinates.   Used by fits_imag,
       fits_rgbi, and fits_cont, but may come in handy for other methods.

         my $tr = _FITS_tr( $win, $img );
         my $tr = _FITS_tr( $win, $img, $opts );

       The return value ($tr in the examples above) is the same as returned by
       the transform() routine, with values set up to convert the pixel to
       scientific coordinate values for the two-dimensional image $img. The
       $opts argument is optional and should be a HASH reference; currently it
       only understands one key (any others are ignored):

         WCS => undef (default), "", or "A" to "Z"

       Both the key name and value are case insensitive. If left as "undef" or
       "" then the primary coordinate mapping from the header is used, other-
       wise use the additional WCS mapping given by the appropriate letter.
       We make no checks that the given mapping is available; the routine
       falls back to the unit mapping if the specified system is not avail-
       able.

       The WCS option has only been tested on images from the Chandra X-ray
       satellite (<http://chandra.harvard.edu/>;) created by the CIAO software
       package (<http://cxc.harvard.edu/ciao/>;), for which you should set "WCS
       => "P"" to use the "PHYSICAL" coordinate system.

       See <http://fits.cv.nrao.edu/documents/wcs/wcs.html>; for further
       information on the Representation of World Coordinate Systems in FITS.

INTERNAL
       The coding tries to follow reasonable standards, so that all functions
       starting with an underscore should be considered as internal and should
       not be called from outside the package. In addition most routines have
       a set of options. These are encapsulated and are not accessible outside
       the routine. This is to avoid collisions between different variables.

AUTHOR
       Karl Glazebrook [kgb AT aaoepp.au] modified by Jarle Brinchmann
       (jarle AT astro.uk) who is also responsible for the OO interface,
       docs mangled by Tuomas J. Lukka (lukka AT fas.edu) and Christian
       Soeller (c.soeller AT auckland.nz). Further contributions and bugfixes
       from Kaj Wiik, Doug Burke, Craig DeForest, and many others.

       All rights reserved. There is no warranty. You are allowed to redis-
       tribute this software / documentation under certain conditions. For
       details, see the file COPYING in the PDL distribution. If this file is
       separated from the PDL distribution, the copyright notice should be
       included in the file.



perl v5.8.8                       2006-01-13                       Window(3pm)
 

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