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<a name="Plotting-Options"></a>
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<p>
Next: <a href="maxima_70.html#Gnuplot-Options" accesskey="n" rel="next">Gnuplot Options</a>, Previous: <a href="maxima_68.html#Functions-and-Variables-for-Plotting" accesskey="p" rel="previous">Functions and Variables for Plotting</a>, Up: <a href="maxima_65.html#Plotting" accesskey="u" rel="up">Plotting</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_423.html#Function-and-Variable-Index" title="Index" rel="index">Index</a>]</p>
</div>
<a name="Plotting-Options-1"></a>
<h3 class="section">12.4 Plotting Options</h3>
<p>All options consist of a list starting with one of the keywords in this
section, followed by one or more values. If the option appears inside
one of the plotting commands, its value will be local for that
command. It the option is given as argument to
<code><a href="maxima_68.html#set_005fplot_005foption">set_plot_option</a></code>, its value will be global and used in all
plots, unless it is overridden by a local value.
</p>
<p>Some of the options may have different effects in different plotting
commands as it will be pointed out in the following list. The options
that accept among their possible values true or false, can also be set
to true by simply writing their names, and false by writing their names
with the prefix no. For instance, typing <code>logx</code> as an option is
equivalent to writing <code>[logx, true]</code> and <code>nobox</code> is equivalent
to <code>[box, false]</code>. When just the name of the option is used for an
option which cannot have a value <code>true</code>, it means that any value
previously assigned to that option will be removed, leaving it to the
graphic program to decide what to do.
</p>
<a name="adapt_005fdepth"></a><a name="Item_003a-Plotting_002fdefvr_002fadapt_005fdepth"></a><dl>
<dt><a name="index-adapt_005fdepth"></a>Plot option: <strong>adapt_depth</strong> <em>[adapt_depth, <var>integer</var>]</em></dt>
<dd><p>Default value: <code>5</code>
</p>
<p>The maximum number of splittings used by the adaptive plotting routine
of <code><a href="maxima_68.html#plot2d">plot2d</a></code>; <var>integer</var> must be a non-negative integer. A value
of zero means that adaptive plotting will not be used and the resulting
plot will have 1+4*<var>nticks</var> points (see option <code><a href="#nticks">nticks</a></code>). To
have more control on the number of points and their positions, a list of
points can be created and then plotted using the <code>discrete</code> method
of <code>plot2d</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="axes"></a><a name="Item_003a-Plotting_002fdefvr_002faxes"></a><dl>
<dt><a name="index-axes"></a>Plot option: <strong>axes</strong> <em>[axes, <var>symbol</var>], axes, noaxes</em></dt>
<dd>
<p>Default value: <code>true</code>
</p>
<p>Where <var>symbol</var> can be either <code>true</code>, <code>false</code>, <code>x</code>,
<code>y</code> or <code>solid</code>. If <code>false</code>, no axes are shown; if equal
to <code>x</code> or <code>y</code> only the x or y axis will be shown; if it is
equal to <code>true</code>, both axes will be shown and <code>solid</code> will show
the two axes with a solid line, rather than the default broken
line. This option does not have any effect in the 3 dimensional plots.
The single keywords <code>axes</code> and <code>noaxes</code> can be used as
synonyms for <code>[axes, true]</code> and <code>[axes, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="azimuth"></a><a name="Item_003a-Plotting_002fdefvr_002fazimuth"></a><dl>
<dt><a name="index-azimuth"></a>Plot option: <strong>azimuth</strong> <em>[azimuth, <var>number</var>]</em></dt>
<dd>
<p>Default value: <code>30</code>
</p>
<p>A plot3d plot can be thought of as starting with the x and y axis in the
horizontal and vertical axis, as in plot2d, and the z axis coming out of
the screen. The z axis is then rotated around the x axis through an
angle equal to <code><a href="#elevation">elevation</a></code> and then the new xy plane is rotated
around the new z axis through an angle <code><a href="#azimuth">azimuth</a></code>. This option sets
the value for the azimuth, in degrees.
</p>
<p>See also <code><a href="#elevation">elevation</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="option_005fbox"></a><a name="Item_003a-Plotting_002fdefvr_002fbox"></a><dl>
<dt><a name="index-box-1"></a>Plot option: <strong>box</strong> <em>[box, <var>symbol</var>], box, nobox</em></dt>
<dd>
<p>Default value: <code>true</code>
</p>
<p>If set to <code>true</code>, a bounding box will be drawn for the plot; if set
to <code>false</code>, no box will be drawn.
The single keywords <code>box</code> and <code>nobox</code> can be used as
synonyms for <code>[box, true]</code> and <code>[box, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="color"></a><a name="Item_003a-Plotting_002fdefvr_002fcolor"></a><dl>
<dt><a name="index-color"></a>Plot option: <strong>color</strong> <em>[color, <var>color_1</var>, …, <var>color_n</var>]</em></dt>
<dd>
<p>In 2d plots it defines the color (or colors) for the various curves. In
<code><a href="maxima_68.html#plot3d">plot3d</a></code>, it defines the colors used for the mesh lines of the
surfaces, when no palette is being used.
</p>
<p>If there are more curves or surfaces than colors, the colors will be
repeated in sequence. The valid colors are <code>red</code>, <code>green</code>,
<code>blue</code>, <code>magenta</code>, <code>cyan</code>, <code>yellow</code>, <code>orange</code>,
<code>violet</code>, <code>brown</code>, <code>gray</code>, <code>black</code>, <code>white</code>, or
a string starting with the character # and followed by six hexadecimal
digits: two for the red component, two for green component and two for
the blue component. If the name of a given color is unknown color, black
will be used instead.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="color_005fbar"></a><a name="Item_003a-Plotting_002fdefvr_002fcolor_005fbar"></a><dl>
<dt><a name="index-color_005fbar"></a>Plot option: <strong>color_bar</strong> <em>[color_bar, <var>symbol</var>], color_bar, nocolor_bar</em></dt>
<dd>
<p>Default value: <code>false</code> in plot3d, <code>true</code> in mandelbrot and julia
</p>
<p>Where <var>symbol</var> can be either <code>true</code> or <code>false</code>. If
<code>true</code>, whenever <code><a href="maxima_68.html#plot3d">plot3d</a></code>, <code><a href="maxima_68.html#mandelbrot">mandelbrot</a></code> or
<code><a href="maxima_68.html#julia">julia</a></code> use a palette to represent different values, a box will be
shown on the right, showing the corresponding between colors and values.
The single keywords <code>color_bar</code> and <code>nocolor_bar</code> can be used
as synonyms for <code>[color_bar, true]</code> and <code>[color_bar, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="color_005fbar_005ftics"></a><a name="Item_003a-Plotting_002fdefvr_002fcolor_005fbar_005ftics"></a><dl>
<dt><a name="index-color_005fbar_005ftics"></a>Plot option: <strong>color_bar_tics</strong> <em>[color_bar_tics, <var>x1</var>, <var>x2</var>, <var>x3</var>], color_bar_tics, nocolor_bar_tics</em></dt>
<dd>
<p>Defines the values at which a mark and a number will be placed in the
color bar. The first number is the initial value, the second the
increments and the third is the last value where a mark is placed. The
second and third numbers can be omitted. When only one number is given,
it will be used as the increment from an initial value that will be
chosen automatically. The single keyword <code>color_bar_tics</code> removes a
value given previously, making the graphic program use its default for
the values of the tics and <code>nocolor_bar_tics</code> will not show any
tics on the color bar.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="elevation"></a><a name="Item_003a-Plotting_002fdefvr_002felevation"></a><dl>
<dt><a name="index-elevation"></a>Plot option: <strong>elevation</strong> <em>[elevation, <var>number</var>]</em></dt>
<dd>
<p>Default value: <code>60</code>
</p>
<p>A plot3d plot can be thought of as starting with the x and y axis in the
horizontal and vertical axis, as in plot2d, and the z axis coming out of
the screen. The z axis is then rotated around the x axis through an
angle equal to <code><a href="#elevation">elevation</a></code> and then the new xy plane is rotated
around the new z axis through an angle <code><a href="#azimuth">azimuth</a></code>. This option sets
the value for the elevation, in degrees.
</p>
<p>See also <code><a href="#azimuth">azimuth</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="grid"></a><a name="Item_003a-Plotting_002fdefvr_002fgrid"></a><dl>
<dt><a name="index-grid"></a>Plot option: <strong>grid</strong> <em>[grid, <var>integer</var>, <var>integer</var>]</em></dt>
<dd><p>Default value: <code>30</code>, <code>30</code>
</p>
<p>Sets the number of grid points to use in the x- and y-directions for
three-dimensional plotting or for the <code><a href="maxima_68.html#julia">julia</a></code> and <code><a href="maxima_68.html#mandelbrot">mandelbrot</a></code>
programs.
</p>
<p>For a way to actually draw a grid See <code><a href="#grid2d">grid2d</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="grid2d"></a><a name="Item_003a-Plotting_002fdefvr_002fgrid2d"></a><dl>
<dt><a name="index-grid2d"></a>Plot option: <strong>grid2d</strong> <em>[grid2d, <var>value</var>], grid2d, nogrid2d</em></dt>
<dd>
<p>Default value: <code>false</code>
</p>
<p>Shows a grid of lines on the xy plane. The points where the grid lines
are placed are the same points where tics are marked in the x and y
axes, which can be controlled with the <code><a href="#xtics">xtics</a></code> and <code><a href="#ytics">ytics</a></code>
options. The single keywords <code>grid2d</code> and <code>nogrid2d</code> can be
used as synonyms for <code>[grid2d, true]</code> and <code>[grid2d, false]</code>.
</p>
<p>See also <code><a href="#grid">grid</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="iterations"></a><a name="Item_003a-Plotting_002fdefvr_002fiterations"></a><dl>
<dt><a name="index-iterations"></a>Plot option: <strong>iterations</strong> <em>[iterations, <var>value</var>]</em></dt>
<dd>
<p>Default value: <code>9</code>
</p>
<p>Number of iterations made by the programs mandelbrot and julia.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="label"></a><a name="Item_003a-Plotting_002fdefvr_002flabel"></a><dl>
<dt><a name="index-label-1"></a>Plot option: <strong>label</strong> <em>[label, [<var>string</var>, <var>x</var>, <var>y</var>], …]</em></dt>
<dd>
<p>Writes one or several labels in the points with <var>x</var>, <var>y</var>
coordinates indicated after each label.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="legend"></a><a name="Item_003a-Plotting_002fdefvr_002flegend"></a><dl>
<dt><a name="index-legend"></a>Plot option: <strong>legend</strong> <em>[legend, <var>string_1</var>, …, <var>string_n</var>], legend, nolegend</em></dt>
<dd>
<p>It specifies the labels for the plots when various plots are shown. If
there are more plots than the number of labels given, they will be
repeated. If given the value <code>false</code>, no legends will be shown.
By default, the names of the expressions or functions will be used, or
the words discrete1, discrete2, …, for discrete sets of points.
The single keyword <code>legend</code> removes any previously defined legends,
leaving it to the plotting program to set up a legend. The keyword
<code>nolegend</code> is a synonym for <code>[legend, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="levels"></a><a name="Item_003a-Plotting_002fdefvr_002flevels"></a><dl>
<dt><a name="index-levels"></a>Plot option: <strong>levels</strong> <em>[levels, <var>number</var>, …] </em></dt>
<dd>
<p>This option is used by <code><a href="maxima_68.html#plot2d">plot2d</a></code> to do contour plots. If only one
number is given after the keyword <code>levels</code>, it must be a natural
number; <code>plot2d</code> will try to plot that number of contours with
values between the minimum and maximum value of the expression given,
with the form d*10^n, where d is either 1, 2 or 5. Since not always it will
be possible to find that number of levels in that interval, the number of
contour lines show will be smaller than the number specified by this
option.
</p>
<p>If more than one number are given after the keyword <code>levels</code>,
<code><a href="maxima_68.html#plot2d">plot2d</a></code>. will show the contour lines corresponding to those
values of the expression plotted, if they exist within the domain used.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="logx"></a><a name="Item_003a-Plotting_002fdefvr_002flogx"></a><dl>
<dt><a name="index-logx"></a>Plot option: <strong>logx</strong> <em>[logx, <var>value</var>], logx, nologx</em></dt>
<dd>
<p>Default value: <code>false</code>
</p>
<p>Makes the horizontal axes to be scaled logarithmically. It can be either
true or false. The single keywords <code>logx</code> and <code>nologx</code> can be
used as synonyms for <code>[logx, true]</code> and <code>[logx, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="logy"></a><a name="Item_003a-Plotting_002fdefvr_002flogy"></a><dl>
<dt><a name="index-logy"></a>Plot option: <strong>logy</strong> <em>[logy, <var>value</var>], logy, nology</em></dt>
<dd>
<p>Default value: <code>false</code>
</p>
<p>Makes the vertical axes to be scaled logarithmically. It can be either
true or false.
The single keywords <code>logy</code> and <code>nology</code> can be used as
synonyms for <code>[logy, true]</code> and <code>[logy, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="mesh_005flines_005fcolor"></a><a name="Item_003a-Plotting_002fdefvr_002fmesh_005flines_005fcolor"></a><dl>
<dt><a name="index-mesh_005flines_005fcolor"></a>Plot option: <strong>mesh_lines_color</strong> <em>[mesh_lines_color, <var>color</var>], mesh_lines_color, no_mesh_lines</em></dt>
<dd>
<p>Default value: <code>black</code>
</p>
<p>It sets the color used by plot3d to draw the mesh lines, when a palette
is being used. It accepts the same colors as for the option
<code><a href="#color">color</a></code><!-- /@w --> (see the list of allowed colors in <code><a href="#color">color</a></code>). It
can also be given a value <code>false</code> to eliminate completely the mesh
lines. The single keyword <code>mesh_lines_color</code> removes any previously
defined colors, leaving it to the graphic program to decide what color
to use. The keyword <code>no_mesh_lines</code> is a synonym for
<code>[mesh_lines_color, false]</code>
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="nticks"></a><a name="Item_003a-Plotting_002fdefvr_002fnticks"></a><dl>
<dt><a name="index-nticks"></a>Plot option: <strong>nticks</strong> <em>[nticks, <var>integer</var>]</em></dt>
<dd>
<p>Default value: <code>29</code>
</p>
<p>When plotting functions with <code><a href="maxima_68.html#plot2d">plot2d</a></code>, it is gives the initial
number of points used by the adaptive plotting routine for plotting
functions. When plotting parametric functions with <code><a href="maxima_68.html#plot3d">plot3d</a></code>,
it sets the number of points that will be shown for the plot.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="palette"></a><a name="Item_003a-Plotting_002fdefvr_002fpalette"></a><dl>
<dt><a name="index-palette"></a>Plot option: <strong>palette</strong> <em>[palette, [<var>palette_1</var>], …, [<var>palette_n</var>]], palette, nopalette</em></dt>
<dd>
<p>It can consist of one palette or a list of several palettes. Each
palette is a list with a keyword followed by values. If the keyword is
gradient, it should be followed by a list of valid colors.
</p>
<p>If the keyword is hue, saturation or value, it must be followed by 4
numbers. The first three numbers, which must be between 0 and 1, define
the hue, saturation and value of a basic color to be assigned to the
minimum value of z. The keyword specifies which of the three attributes
(hue, saturation or value) will be increased according to the values of
z. The last number indicates the increase corresponding to the maximum
value of z. That last number can be bigger than 1 or negative; the
corresponding values of the modified attribute will be rounded modulo 1.
</p>
<p>Gnuplot only uses the first palette in the list; xmaxima will use the
palettes in the list sequentially, when several surfaces are plotted
together; if the number of palettes is exhausted, they will be repeated
sequentially.
</p>
<p>The color of the mesh lines will be given by the option
<code><a href="#mesh_005flines_005fcolor">mesh_lines_color</a></code>. If <code>palette</code> is given the value
<code>false</code>, the surfaces will not be shaded but represented with a
mesh of curves only. In that case, the colors of the lines will be
determined by the option <code><a href="#color">color</a></code>.
</p>
<p>The single keyword <code>palette</code> removes any palette previously
defined, leaving it to the graphic program to decide the palette to use
and <code>nopalette</code> is a synonym for <code>[palette, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="plotepsilon"></a><a name="Item_003a-Plotting_002fdefvr_002fplotepsilon"></a><dl>
<dt><a name="index-plotepsilon"></a>Plot option: <strong>plotepsilon</strong> <em>[plotepsilon, <var>value</var>]</em></dt>
<dd>
<p>Default value: 1e-6
</p>
<p>This value is used by <code><a href="maxima_68.html#plot2d">plot2d</a></code> when plotting implicit functions or
contour lines. When plotting an explicit function <code>expr_1=expr_2</code>,
it is converted into <code>expr_1-expr_2</code> and the points where that equals
zero are searched. When a contour line for <code>expr</code> equal to some value
is going to be plotted, the points where <code>expr</code> minus that value
are equal to zero are searched. The search is done by computing those
expressions at a grid of points (see <code><a href="#sample">sample</a></code>). If at one of the
points in that grid the absolute value of the expression is less than
the value of <code>plotepsilon</code>, it will be assumed to be zero, and
therefore, as being part of the curve to be plotted.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="plot_005fformat"></a><a name="Item_003a-Plotting_002fdefvr_002fplot_005fformat"></a><dl>
<dt><a name="index-plot_005fformat"></a>Plot option: <strong>plot_format</strong> <em>[plot_format, <var>format</var>]</em></dt>
<dd>
<p>Default value: <code>gnuplot</code>, in Windows systems, or <code>gnuplot_pipes</code> in
other systems.
</p>
<p>Where <var>format</var> is one of the following: gnuplot, xmaxima, mgnuplot,
gnuplot_pipes or geomview.
</p>
<p>It sets the format to be used for plotting as explained in
<code><a href="maxima_67.html#Plotting-Formats">Plotting Formats</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="plot_005freal_005fpart"></a><a name="Item_003a-Plotting_002fdefvr_002fplot_005frealpart"></a><dl>
<dt><a name="index-plot_005frealpart"></a>Plot option: <strong>plot_realpart</strong> <em>[plot_realpart, <var>symbol</var>], plot_realpart, noplot_realpart</em></dt>
<dd>
<p>Default value: <code>false</code>
</p>
<p>If set to <code>true</code>, the functions to be plotted will be considered as
complex functions whose real value should be plotted; this is equivalent
to plotting <code>realpart(<var>function</var>)</code>. If set to <code>false</code>,
nothing will be plotted when the function does not give a real value.
For instance, when <code>x</code> is negative, <code>log(x)</code> gives a complex
value, with real value equal to <code>log(abs(x))</code>; if
<code>plot_realpart</code> were <code>true</code>, <code>log(-5)</code> would be plotted
as <code>log(5)</code>, while nothing would be plotted if <code>plot_realpart</code>
were <code>false</code>. The single keyword <code>plot_realpart</code> can be used
as a synonym for <code>[plot_realpart, true]</code> and <code>noplot_realpart</code>
is a synonym for <code>[plot_realpart, false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="point_005ftype"></a><a name="Item_003a-Plotting_002fdefvr_002fpoint_005ftype"></a><dl>
<dt><a name="index-point_005ftype"></a>Plot option: <strong>point_type</strong> <em>[point_type, <var>type_1</var>, …, <var>type_n</var>]</em></dt>
<dd>
<p>In gnuplot, each set of points to be plotted with the style “points”
or “linespoints” will be represented with objects taken from this
list, in sequential order. If there are more sets of points than objects
in this list, they will be repeated sequentially.
The possible objects that can be used are: <code>bullet</code>, <code>circle</code>,
<code>plus</code>, <code>times</code>, <code>asterisk</code>, <code>box</code>, <code>square</code>,
<code>triangle</code>, <code>delta</code>, <code>wedge</code>, <code>nabla</code>, <code>diamond</code>,
<code>lozenge</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="pdf_005ffile"></a><a name="Item_003a-Plotting_002fdefvr_002fpdf_005ffile"></a><dl>
<dt><a name="index-pdf_005ffile"></a>Plot option: <strong>pdf_file</strong> <em>[pdf_file, <var>file_name</var>]</em></dt>
<dd>
<p>Saves the plot into a PDF file with name equal to <var>file_name</var>,
rather than showing it in the screen. By default, the file will be
created in the directory defined by the variable
<code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code>, unless <var>file_name</var> contains the character
“/”, in which case it will be assumed to contain the complete path where
the file should be created. The value of <code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code> can be changed
to save the file in a different directory. When the option
<code><a href="maxima_70.html#gnuplot_005fpdf_005fterm_005fcommand">gnuplot_pdf_term_command</a></code> is also given, it will be used to set up
Gnuplot’s PDF terminal; otherwise, Gnuplot’s pdfcairo terminal
will be used with solid colored lines of width 3, plot
size of 17.2 cm by 12.9 cm and font of 18 points.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="png_005ffile"></a><a name="Item_003a-Plotting_002fdefvr_002fpng_005ffile"></a><dl>
<dt><a name="index-png_005ffile"></a>Plot option: <strong>png_file</strong> <em>[png_file, <var>file_name</var>]</em></dt>
<dd>
<p>Saves the plot into a PNG graphics file with name equal to <var>file_name</var>,
rather than showing it in the screen. By default, the file will be
created in the directory defined by the variable
<code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code>, unless <var>file_name</var> contains the character
“/”, in which case it will be assumed to contain the complete path where
the file should be created. The value of <code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code> can be changed
to save the file in a different directory. When the option
<code><a href="maxima_70.html#gnuplot_005fpng_005fterm_005fcommand">gnuplot_png_term_command</a></code> is also given, it will be used to set up
Gnuplot’s PNG terminal; otherwise, Gnuplot’s pngcairo terminal
will be used, with a font of size 12.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="ps_005ffile"></a><a name="Item_003a-Plotting_002fdefvr_002fps_005ffile"></a><dl>
<dt><a name="index-ps_005ffile"></a>Plot option: <strong>ps_file</strong> <em>[ps_file, <var>file_name</var>]</em></dt>
<dd>
<p>Saves the plot into a Postscript file with name equal to <var>file_name</var>,
rather than showing it in the screen. By default, the file will be
created in the directory defined by the variable
<code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code>, unless <var>file_name</var> contains the character
“/”, in which case it will be assumed to contain the complete path where
the file should be created. The value of <code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code> can be changed
to save the file in a different directory. When the option
<code><a href="maxima_70.html#gnuplot_005fps_005fterm_005fcommand">gnuplot_ps_term_command</a></code> is also given, it will be used to set up
Gnuplot’s Postscript terminal; otherwise, Gnuplot’s postscript terminal
will be used with the EPS option, solid colored lines of width 2, plot
size of 16.4 cm by 12.3 cm and font of 24 points.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="run_005fviewer"></a><a name="Item_003a-Plotting_002fdefvr_002frun_005fviewer"></a><dl>
<dt><a name="index-run_005fviewer"></a>Plot option: <strong>run_viewer</strong> <em>[run_viewer, <var>symbol</var>], run_viewer, norun_viewer</em></dt>
<dd>
<p>Default value: <code>true</code>
</p>
<p>This option is only used when the plot format is <code>gnuplot</code> and the
terminal is <code>default</code> or when the Gnuplot terminal is set to
<code>dumb</code> (see <code><a href="maxima_70.html#gnuplot_005fterm">gnuplot_term</a></code>) and can have a true or false
value.
</p>
<p>If the terminal is <code>default</code>, a file <code>maxout_xxx.gnuplot</code> (or
other name specified with <code><a href="maxima_70.html#gnuplot_005fout_005ffile">gnuplot_out_file</a></code>) is created with the
gnuplot commands necessary to generate the plot. Option <code>run_viewer</code>
controls whether or not Gnuplot will be launched to execute those
commands and show the plot.
</p>
<p>If the terminal is <code>default</code>, gnuplot is run to execute the
commands in <code>maxout_xxx.gnuplot</code>, producing another file
<code>maxplot.txt</code> (or other name specified with
<code><a href="maxima_70.html#gnuplot_005fout_005ffile">gnuplot_out_file</a></code>). Option <code>run_viewer</code> controls whether or
not that file, with an ASCII representation of the plot, will be shown
in the Maxima or Xmaxima console.
</p>
<p>Its default value, true, makes the plots appear in either the console or
a separate graphics window. <code>run_viewer</code> and <code>norun_viewer</code>
are synonyms for <code>[run_viewer, true]</code> and <code>[run_viewer,
false]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="same_005fxy"></a><a name="Item_003a-Plotting_002fdefvr_002fsame_005fxy"></a><dl>
<dt><a name="index-same_005fxy"></a>Plot option: <strong>same_xy</strong> <em>[same_xy , <var>value</var>], same_xy, nosame_xy</em></dt>
<dd>
<p>It can be either true or false. If true, the scales used in the x and y
axes will be the same, in either 2d or 3d plots. See also
<code><a href="#yx_005fratio">yx_ratio</a></code>. <code>same_xy</code> and <code>nosame_xy</code> are synonyms for
<code>[same_xy, true]</code> and <code>[same_xy, false]</code>.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="same_005fxyz"></a><a name="Item_003a-Plotting_002fdefvr_002fsame_005fxyz"></a><dl>
<dt><a name="index-same_005fxyz"></a>Plot option: <strong>same_xyz</strong> <em>[same_xyz , <var>value</var>], same_xyz, nosame_xyz</em></dt>
<dd>
<p>It can be either true or false. If true, the scales used in the 3 axes
of a 3d plot will be the same. <code>same_xyz</code> and <code>nosame_xyz</code> are
synonyms for <code>[same_xyz, true]</code> and <code>[same_xyz, false]</code>.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="sample"></a><a name="Item_003a-Plotting_002fdefvr_002fsample"></a><dl>
<dt><a name="index-sample"></a>Plot option: <strong>sample</strong> <em>[sample, <var>nx</var>, <var>ny</var>]</em></dt>
<dd>
<p>Default value: <code>[sample, 50, 50]</code>
</p>
<p><var>nx</var> and <var>ny</var> must be two natural numbers that will be used by
<code><a href="maxima_68.html#plot2d">plot2d</a></code> to look for the points that make part of the plot of an
implicit function or a contour line. The domain is divided into <var>nx</var>
intervals in the horizontal axis and <var>ny</var> intervals in the vertical
axis and the numerical value of the expression is computed at the
borders of those intervals. Higher values of <var>nx</var> and <var>ny</var> will
give smoother curves, but will increase the time needed to trace the
plot. When there are critical points in the plot where the curve changes
direction, to get better results it is more important to try to make
those points to be at the border of the intervals, rather than
increasing <var>nx</var> and <var>ny</var>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="style"></a><a name="Item_003a-Plotting_002fdefvr_002fstyle"></a><dl>
<dt><a name="index-style"></a>Plot option: <strong>style</strong> <em>[style, <var>type_1</var>, …, <var>type_n</var>], [style, [<var>style_1</var>], …, [<var>style_n</var>]]</em></dt>
<dd>
<p>The styles that will be used for the various functions or sets of data
in a 2d plot. The word <var>style</var> must be followed by one or more
styles. If there are more functions and data sets than the styles
given, the styles will be repeated. Each style can be either
<var>lines</var> for line segments, <var>points</var> for isolated points,
<var>linespoints</var> for segments and points, or <var>dots</var> for small
isolated dots. Gnuplot accepts also an <var>impulses</var> style.
</p>
<p>Each of the styles can be enclosed inside a list with some additional
parameters. <var>lines</var> accepts one or two numbers: the width of the
line and an integer that identifies a color. The default color codes
are: 1: blue, 2: red, 3: magenta, 4: orange, 5: brown, 6: lime and 7:
aqua. If you use Gnuplot with a terminal different than X11,
those colors might be different; for example, if you use the option
[<var>gnuplot_term</var>, <var>ps</var>], color index 4 will correspond to black,
instead of orange.
</p>
<p><var>points</var> accepts one two or three parameters; the first parameter
is the radius of the points, the second parameter is an integer that
selects the color, using the same code used for <var>lines</var> and the
third parameter is currently used only by Gnuplot and it corresponds
to several objects instead of points. The default types of
objects are: 1: filled circles, 2: open circles, 3: plus signs, 4: x,
5: *, 6: filled squares, 7: open squares, 8: filled triangles, 9: open
triangles, 10: filled inverted triangles, 11: open inverted triangles,
12: filled lozenges and 13: open lozenges.
</p>
<p><var>linespoints</var> accepts up to four parameters: line width, points
radius, color and type of object to replace the points.
</p>
<p>See also <code><a href="#color">color</a></code> and <code><a href="#point_005ftype">point_type</a></code>.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="svg_005ffile"></a><a name="Item_003a-Plotting_002fdefvr_002fsvg_005ffile"></a><dl>
<dt><a name="index-svg_005ffile"></a>Plot option: <strong>svg_file</strong> <em>[svg_file, <var>file_name</var>]</em></dt>
<dd>
<p>Saves the plot into an SVG file with name equal to <var>file_name</var>,
rather than showing it in the screen. By default, the file will be
created in the directory defined by the variable
<code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code>, unless <var>file_name</var> contains the character
“/”, in which case it will be assumed to contain the complete path where
the file should be created. The value of <code><a href="maxima_155.html#maxima_005ftempdir">maxima_tempdir</a></code> can be changed
to save the file in a different directory. When the option
<code><a href="maxima_70.html#gnuplot_005fsvg_005fterm_005fcommand">gnuplot_svg_term_command</a></code> is also given, it will be used to set up
Gnuplot’s SVG terminal; otherwise, Gnuplot’s svg terminal
will be used with font of 14 points.
</p>
<div class=categorybox>
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<a name="t"></a><a name="Item_003a-Plotting_002fdefvr_002ft"></a><dl>
<dt><a name="index-t"></a>Plot option: <strong>t</strong> <em>[t, <var>min</var>, <var>max</var>]</em></dt>
<dd>
<p>Default range for parametric plots.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="title"></a><a name="Item_003a-Plotting_002fdefvr_002ftitle"></a><dl>
<dt><a name="index-title"></a>Plot option: <strong>title</strong> <em>[title, <var>text</var>]</em></dt>
<dd>
<p>Defines a title that will be written at the top of the plot.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="transform_005fxy"></a><a name="Item_003a-Plotting_002fdefvr_002ftransform_005fxy"></a><dl>
<dt><a name="index-transform_005fxy"></a>Plot option: <strong>transform_xy</strong> <em>[transform_xy, <var>symbol</var>], notransform_xy</em></dt>
<dd>
<p>Where <var>symbol</var> is either <code>false</code> or the result obtained by
using the function <code>transform_xy</code>. If different from <code>false</code>,
it will be used to transform the 3 coordinates in
plot3d. <code>notransform_xy</code> removes any transformation function
previously defined.
</p>
<p>See <code><a href="maxima_68.html#make_005ftransform">make_transform</a></code>, <code><a href="maxima_68.html#polar_005fto_005fxy">polar_to_xy</a></code> and
<code><a href="maxima_68.html#spherical_005fto_005fxyz">spherical_to_xyz</a></code>.
</p>
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·</div></dd></dl>
<a name="window"></a><a name="Item_003a-Plotting_002fdefvr_002fwindow"></a><dl>
<dt><a name="index-window"></a>Plot option: <strong>window</strong> <em>[window, <var>n</var>]</em></dt>
<dd>
<p>Opens the plot in window number <var>n</var>, instead of the default window
0. If window number <var>n</var> is already opened, the plot in that window
will be replaced by the current plot.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="x"></a><a name="Item_003a-Plotting_002fdefvr_002fx"></a><dl>
<dt><a name="index-x"></a>Plot option: <strong>x</strong> <em>[x, <var>min</var>, <var>max</var>]</em></dt>
<dd>
<p>When used as the first option in a <code><a href="maxima_68.html#plot2d">plot2d</a></code> command (or any of the
first two in <code><a href="maxima_68.html#plot3d">plot3d</a></code>), it indicates that the first independent variable
is x and it sets its range. It can also be used again after the first
option (or after the second option in plot3d) to define the effective
horizontal domain that will be shown in the plot.
</p>
<div class=categorybox>
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·</div></dd></dl>
<a name="xlabel"></a><a name="Item_003a-Plotting_002fdefvr_002fxlabel"></a><dl>
<dt><a name="index-xlabel"></a>Plot option: <strong>xlabel</strong> <em>[xlabel, <var>string</var>]</em></dt>
<dd>
<p>Specifies the <var>string</var> that will label the first axis; if this
option is not used, that label will be the name of the independent
variable, when plotting functions with <code><a href="maxima_68.html#plot2d">plot2d</a></code> the name of the
first variable, when plotting surfaces with <code><a href="maxima_68.html#plot3d">plot3d</a></code>, or the first
expression in the case of a parametric plot.
</p>
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Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="xtics"></a><a name="Item_003a-Plotting_002fdefvr_002fxtics"></a><dl>
<dt><a name="index-xtics"></a>Plot option: <strong>xtics</strong> <em>[xtics, <var>x1</var>, <var>x2</var>, <var>x3</var>], [xtics, <code>false</code>], xtics, noxtics</em></dt>
<dd>
<p>Defines the values at which a mark and a number will be placed in the x
axis. The first number is the initial value, the second the increments
and the third is the last value where a mark is placed. The second and
third numbers can be omitted, in which case the first number is the
increment from an initial value that will be chosen by the graphic
program. If <code>[xtics, false]</code> is used, no marks or numbers will be
shown along the x axis.
</p>
<p>The single keyword <code>xtics</code> removes any values previously
defined, leaving it to the graphic program to decide the values to use
and <code>noxtics</code> is a synonym for <code>[xtics, false]</code>
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="xy_005fscale"></a><a name="Item_003a-Plotting_002fdefvr_002fxy_005fscale"></a><dl>
<dt><a name="index-xy_005fscale"></a>Plot option: <strong>xy_scale</strong> <em>[xy_scale, <var>sx</var>, <var>sy</var>]</em></dt>
<dd>
<p>In a 2d plot, it defines the ratio of the total size of the Window to
the size that will be used for the plot. The two numbers given as
arguments are the scale factors for the x and y axes.
</p>
<p>This option does not change the size of the graphic window or the placement
of the graph in the window. If you want to change the aspect ratio of the
plot, it is better to use option <code><a href="#yx_005fratio">yx_ratio</a></code>. For instance,
<code>[yx_ratio, 10]</code> instead of <code>[xy_scale, 0.1, 1]</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="y"></a><a name="Item_003a-Plotting_002fdefvr_002fy"></a><dl>
<dt><a name="index-y"></a>Plot option: <strong>y</strong> <em>[y, <var>min</var>, <var>max</var>]</em></dt>
<dd>
<p>When used as one of the first two options in <code><a href="maxima_68.html#plot3d">plot3d</a></code>, it indicates
that one of the independent variables is y and it sets its range. Otherwise,
it defines the effective domain of the second variable that will be
shown in the plot.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="ylabel"></a><a name="Item_003a-Plotting_002fdefvr_002fylabel"></a><dl>
<dt><a name="index-ylabel"></a>Plot option: <strong>ylabel</strong> <em>[ylabel, <var>string</var>]</em></dt>
<dd>
<p>Specifies the <var>string</var> that will label the second axis; if this
option is not used, that label will be “y”, when plotting explicit
functions with <code><a href="maxima_68.html#plot2d">plot2d</a></code>, or the name of the second variable, when
plotting surfaces with <code><a href="maxima_68.html#plot3d">plot3d</a></code>, or the second expression in the
case of a parametric plot.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="ytics"></a><a name="Item_003a-Plotting_002fdefvr_002fytics"></a><dl>
<dt><a name="index-ytics"></a>Plot option: <strong>ytics</strong> <em>[ytics, <var>y1</var>, <var>y2</var>, <var>y3</var>], [ytics, <code>false</code>], ytics, noytics</em></dt>
<dd>
<p>Defines the values at which a mark and a number will be placed in the y
axis. The first number is the initial value, the second the increments
and the third is the last value where a mark is placed. The second and
third numbers can be omitted, in which case the first number is the
increment from an initial value that will be chosen by the graphic
program. If <code>[ytics, false]</code> is used, no marks or numbers will be
shown along the y axis.
</p>
<p>The single keyword <code>ytics</code> removes any values previously
defined, leaving it to the graphic program to decide the values to use
and <code>noytics</code> is a synonym for <code>[ytics, false]</code>
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="yx_005fratio"></a><a name="Item_003a-Plotting_002fdefvr_002fyx_005fratio"></a><dl>
<dt><a name="index-yx_005fratio"></a>Plot option: <strong>yx_ratio</strong> <em>[yx_ratio, <var>r</var>]</em></dt>
<dd>
<p>In a 2d plot, the ratio between the vertical and the horizontal sides of
the rectangle used to make the plot. See also <code><a href="#same_005fxy">same_xy</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="z"></a><a name="Item_003a-Plotting_002fdefvr_002fz"></a><dl>
<dt><a name="index-z"></a>Plot option: <strong>z</strong> <em>[z, <var>min</var>, <var>max</var>]</em></dt>
<dd>
<p>Used in <code><a href="maxima_68.html#plot3d">plot3d</a></code> to set the effective range of values of z that will be
shown in the plot.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="zlabel"></a><a name="Item_003a-Plotting_002fdefvr_002fzlabel"></a><dl>
<dt><a name="index-zlabel"></a>Plot option: <strong>zlabel</strong> <em>[zlabel, <var>string</var>]</em></dt>
<dd>
<p>Specifies the <var>string</var> that will label the third axis, when using
<code><a href="maxima_68.html#plot3d">plot3d</a></code>. If this option is not used, that label will be “z”, when
plotting surfaces, or the third expression in the case of a parametric
plot. It can not be used with <code><a href="maxima_68.html#set_005fplot_005foption">set_plot_option</a></code> and it will be
ignored by <code><a href="maxima_68.html#plot2d">plot2d</a></code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="zmin"></a><a name="Item_003a-Plotting_002fdefvr_002fzmin"></a><dl>
<dt><a name="index-zmin"></a>Plot option: <strong>zmin</strong> <em>[zmin, <var>z</var>], zmin</em></dt>
<dd>
<p>In 3d plots, the value of z that will be at the bottom of the plot box.
</p>
<p>The single keyword <code>zmin</code> removes any value previously
defined, leaving it to the graphic program to decide the value to use.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
<a name="ztics"></a><a name="Item_003a-Plotting_002fdefvr_002fztics"></a><dl>
<dt><a name="index-ztics"></a>Plot option: <strong>ztics</strong> <em>[ztics, <var>z1</var>, <var>z2</var>, <var>z3</var>], [ztics, <code>false</code>], ztics, noztics</em></dt>
<dd>
<p>Defines the values at which a mark and a number will be placed in the z
axis. The first number is the initial value, the second the increments
and the third is the last value where a mark is placed. The second and
third numbers can be omitted, in which case the first number is the
increment from an initial value that will be chosen by the graphic
program. If <code>[ztics, false]</code> is used, no marks or numbers will be
shown along the z axis.
</p>
<p>The single keyword <code>ztics</code> removes any values previously
defined, leaving it to the graphic program to decide the values to use
and <code>noztics</code> is a synonym for <code>[ztics, false]</code>
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Plotting">Plotting</a>
·</div></dd></dl>
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