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<div class="node">
<a name="Two-Dimensional-Plots"></a>
<a name="Two_002dDimensional-Plots"></a>
<p>
Next: <a rel="next" accesskey="n" href="Three_002dDimensional-Plotting.html#Three_002dDimensional-Plotting">Three-Dimensional Plotting</a>,
Up: <a rel="up" accesskey="u" href="Plotting-Basics.html#Plotting-Basics">Plotting Basics</a>
<hr>
</div>
<h4 class="subsection">15.1.1 Two-Dimensional Plots</h4>
<p>The <code>plot</code> function allows you to create simple x-y plots with
linear axes. For example,
<pre class="example"> x = -10:0.1:10;
plot (x, sin (x));
</pre>
<p class="noindent">displays a sine wave shown in <a href="fig_003aplot.html#fig_003aplot">fig:plot</a>. On most systems, this
command will open a separate plot window to display the graph.
<div class="float">
<a name="fig_003aplot"></a><div align="center"><img src="plot.png" alt="plot.png"></div>
<p><strong class="float-caption">Figure 15.1: Simple Two-Dimensional Plot.</strong></p></div>
<!-- ./plot/plot.m -->
<p><a name="doc_002dplot"></a>
<div class="defun">
— Function File: <b>plot</b> (<var>y</var>)<var><a name="index-plot-817"></a></var><br>
— Function File: <b>plot</b> (<var>x, y</var>)<var><a name="index-plot-818"></a></var><br>
— Function File: <b>plot</b> (<var>x, y, property, value, <small class="dots">...</small></var>)<var><a name="index-plot-819"></a></var><br>
— Function File: <b>plot</b> (<var>x, y, fmt</var>)<var><a name="index-plot-820"></a></var><br>
— Function File: <b>plot</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-plot-821"></a></var><br>
<blockquote><p>Produces two-dimensional plots. Many different combinations of
arguments are possible. The simplest form is
<pre class="example"> plot (<var>y</var>)
</pre>
<p class="noindent">where the argument is taken as the set of <var>y</var> coordinates and the
<var>x</var> coordinates are taken to be the indices of the elements,
starting with 1.
<p>To save a plot, in one of several image formats such as PostScript
or PNG, use the <code>print</code> command.
<p>If more than one argument is given, they are interpreted as
<pre class="example"> plot (<var>y</var>, <var>property</var>, <var>value</var>, ...)
</pre>
<p class="noindent">or
<pre class="example"> plot (<var>x</var>, <var>y</var>, <var>property</var>, <var>value</var>, ...)
</pre>
<p class="noindent">or
<pre class="example"> plot (<var>x</var>, <var>y</var>, <var>fmt</var>, ...)
</pre>
<p class="noindent">and so on. Any number of argument sets may appear. The <var>x</var> and
<var>y</var> values are interpreted as follows:
<ul>
<li>If a single data argument is supplied, it is taken as the set of <var>y</var>
coordinates and the <var>x</var> coordinates are taken to be the indices of
the elements, starting with 1.
<li>If the <var>x</var> is a vector and <var>y</var> is a matrix, then
the columns (or rows) of <var>y</var> are plotted versus <var>x</var>.
(using whichever combination matches, with columns tried first.)
<li>If the <var>x</var> is a matrix and <var>y</var> is a vector,
<var>y</var> is plotted versus the columns (or rows) of <var>x</var>.
(using whichever combination matches, with columns tried first.)
<li>If both arguments are vectors, the elements of <var>y</var> are plotted versus
the elements of <var>x</var>.
<li>If both arguments are matrices, the columns of <var>y</var> are plotted
versus the columns of <var>x</var>. In this case, both matrices must have
the same number of rows and columns and no attempt is made to transpose
the arguments to make the number of rows match.
<p>If both arguments are scalars, a single point is plotted.
</ul>
<p>Multiple property-value pairs may be specified, but they must appear
in pairs. These arguments are applied to the lines drawn by
<code>plot</code>.
<p>If the <var>fmt</var> argument is supplied, it is interpreted as
follows. If <var>fmt</var> is missing, the default gnuplot line style
is assumed.
<dl>
<dt>‘<samp><span class="samp">-</span></samp>’<dd>Set lines plot style (default).
<br><dt>‘<samp><span class="samp">.</span></samp>’<dd>Set dots plot style.
<br><dt>‘<samp><var>n</var></samp>’<dd>Interpreted as the plot color if <var>n</var> is an integer in the range 1 to
6.
<br><dt>‘<samp><var>nm</var></samp>’<dd>If <var>nm</var> is a two digit integer and <var>m</var> is an integer in the
range 1 to 6, <var>m</var> is interpreted as the point style. This is only
valid in combination with the <code>@</code> or <code>-@</code> specifiers.
<br><dt>‘<samp><var>c</var></samp>’<dd>If <var>c</var> is one of <code>"k"</code> (black), <code>"r"</code> (red), <code>"g"</code>
(green), <code>"b"</code> (blue), <code>"m"</code> (magenta), <code>"c"</code> (cyan),
or <code>"w"</code> (white), it is interpreted as the line plot color.
<br><dt>‘<samp><span class="samp">";title;"</span></samp>’<dd>Here <code>"title"</code> is the label for the key.
<br><dt>‘<samp><span class="samp">+</span></samp>’<dt>‘<samp><span class="samp">*</span></samp>’<dt>‘<samp><span class="samp">o</span></samp>’<dt>‘<samp><span class="samp">x</span></samp>’<dt>‘<samp><span class="samp">^</span></samp>’<dd>Used in combination with the points or linespoints styles, set the point
style.
</dl>
<p>The <var>fmt</var> argument may also be used to assign key titles.
To do so, include the desired title between semi-colons after the
formatting sequence described above, e.g., "+3;Key Title;"
Note that the last semi-colon is required and will generate an error if
it is left out.
<p>Here are some plot examples:
<pre class="example"> plot (x, y, "@12", x, y2, x, y3, "4", x, y4, "+")
</pre>
<p>This command will plot <code>y</code> with points of type 2 (displayed as
‘<samp><span class="samp">+</span></samp>’) and color 1 (red), <code>y2</code> with lines, <code>y3</code> with lines of
color 4 (magenta) and <code>y4</code> with points displayed as ‘<samp><span class="samp">+</span></samp>’.
<pre class="example"> plot (b, "*", "markersize", 3)
</pre>
<p>This command will plot the data in the variable <code>b</code>,
with points displayed as ‘<samp><span class="samp">*</span></samp>’ with a marker size of 3.
<pre class="example"> t = 0:0.1:6.3;
plot (t, cos(t), "-;cos(t);", t, sin(t), "+3;sin(t);");
</pre>
<p>This will plot the cosine and sine functions and label them accordingly
in the key.
<p>If the first argument is an axis handle, then plot into these axes,
rather than the current axis handle returned by <code>gca</code>.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dsemilogx.html#doc_002dsemilogx">semilogx</a>, <a href="doc_002dsemilogy.html#doc_002dsemilogy">semilogy</a>, <a href="doc_002dloglog.html#doc_002dloglog">loglog</a>, <a href="doc_002dpolar.html#doc_002dpolar">polar</a>, <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>, <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dstairs.html#doc_002dstairs">stairs</a>, <a href="doc_002derrorbar.html#doc_002derrorbar">errorbar</a>, <a href="doc_002dxlabel.html#doc_002dxlabel">xlabel</a>, <a href="doc_002dylabel.html#doc_002dylabel">ylabel</a>, <a href="doc_002dtitle.html#doc_002dtitle">title</a>, <a href="doc_002dprint.html#doc_002dprint">print</a>.
</p></blockquote></div>
<p>The <code>plotyy</code> function may be used to create a plot with two
independent y axes.
<!-- ./plot/plotyy.m -->
<p><a name="doc_002dplotyy"></a>
<div class="defun">
— Function File: <b>plotyy</b> (<var>x1, y1, x2, y2</var>)<var><a name="index-plotyy-822"></a></var><br>
— Function File: <b>plotyy</b> (<var><small class="dots">...</small>, fun</var>)<var><a name="index-plotyy-823"></a></var><br>
— Function File: <b>plotyy</b> (<var><small class="dots">...</small>, fun1, fun2</var>)<var><a name="index-plotyy-824"></a></var><br>
— Function File: <b>plotyy</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-plotyy-825"></a></var><br>
— Function File: [<var>ax</var>, <var>h1</var>, <var>h2</var>] = <b>plotyy</b> (<var><small class="dots">...</small></var>)<var><a name="index-plotyy-826"></a></var><br>
<blockquote><p>Plots two sets of data with independent y-axes. The arguments <var>x1</var> and
<var>y1</var> define the arguments for the first plot and <var>x1</var> and <var>y2</var>
for the second.
<p>By default the arguments are evaluated with
<code>feval (@plot, </code><var>x</var><code>, </code><var>y</var><code>)</code>. However the type of plot can be
modified with the <var>fun</var> argument, in which case the plots are
generated by <code>feval (</code><var>fun</var><code>, </code><var>x</var><code>, </code><var>y</var><code>)</code>. <var>fun</var> can be
a function handle, an inline function or a string of a function name.
<p>The function to use for each of the plots can be independently defined
with <var>fun1</var> and <var>fun2</var>.
<p>If given, <var>h</var> defines the principal axis in which to plot the <var>x1</var>
and <var>y1</var> data. The return value <var>ax</var> is a two element vector with
the axis handles of the two plots. <var>h1</var> and <var>h2</var> are handles to
the objects generated by the plot commands.
<pre class="example"> x = 0:0.1:2*pi;
y1 = sin (x);
y2 = exp (x - 1);
ax = plotyy (x, y1, x - 1, y2, @plot, @semilogy);
xlabel ("X");
ylabel (ax(1), "Axis 1");
ylabel (ax(2), "Axis 2");
</pre>
</blockquote></div>
<p>The functions <code>semilogx</code>, <code>semilogy</code>, and <code>loglog</code> are
similar to the <code>plot</code> function, but produce plots in which one or
both of the axes use log scales.
<!-- ./plot/semilogx.m -->
<p><a name="doc_002dsemilogx"></a>
<div class="defun">
— Function File: <b>semilogx</b> (<var>args</var>)<var><a name="index-semilogx-827"></a></var><br>
<blockquote><p>Produce a two-dimensional plot using a log scale for the <var>x</var>
axis. See the description of <code>plot</code> for a description of the
arguments that <code>semilogx</code> will accept.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dsemilogy.html#doc_002dsemilogy">semilogy</a>, <a href="doc_002dloglog.html#doc_002dloglog">loglog</a>.
</p></blockquote></div>
<!-- ./plot/semilogy.m -->
<p><a name="doc_002dsemilogy"></a>
<div class="defun">
— Function File: <b>semilogy</b> (<var>args</var>)<var><a name="index-semilogy-828"></a></var><br>
<blockquote><p>Produce a two-dimensional plot using a log scale for the <var>y</var>
axis. See the description of <code>plot</code> for a description of the
arguments that <code>semilogy</code> will accept.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dsemilogx.html#doc_002dsemilogx">semilogx</a>, <a href="doc_002dloglog.html#doc_002dloglog">loglog</a>.
</p></blockquote></div>
<!-- ./plot/loglog.m -->
<p><a name="doc_002dloglog"></a>
<div class="defun">
— Function File: <b>loglog</b> (<var>args</var>)<var><a name="index-loglog-829"></a></var><br>
<blockquote><p>Produce a two-dimensional plot using log scales for both axes. See
the description of <code>plot</code> for a description of the arguments
that <code>loglog</code> will accept.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dsemilogx.html#doc_002dsemilogx">semilogx</a>, <a href="doc_002dsemilogy.html#doc_002dsemilogy">semilogy</a>.
</p></blockquote></div>
<p>The functions <code>bar</code>, <code>barh</code>, <code>stairs</code>, and <code>stem</code>
are useful for displaying discrete data. For example,
<pre class="example"> hist (randn (10000, 1), 30);
</pre>
<p class="noindent">produces the histogram of 10,000 normally distributed random numbers
shown in <a href="fig_003ahist.html#fig_003ahist">fig:hist</a>.
<div class="float">
<a name="fig_003ahist"></a><div align="center"><img src="hist.png" alt="hist.png"></div>
<p><strong class="float-caption">Figure 15.2: Histogram.</strong></p></div>
<!-- ./plot/bar.m -->
<p><a name="doc_002dbar"></a>
<div class="defun">
— Function File: <b>bar</b> (<var>x, y</var>)<var><a name="index-bar-830"></a></var><br>
— Function File: <b>bar</b> (<var>y</var>)<var><a name="index-bar-831"></a></var><br>
— Function File: <b>bar</b> (<var>x, y, w</var>)<var><a name="index-bar-832"></a></var><br>
— Function File: <b>bar</b> (<var>x, y, w, style</var>)<var><a name="index-bar-833"></a></var><br>
— Function File: <var>h</var> = <b>bar</b> (<var><small class="dots">...</small>, prop, val</var>)<var><a name="index-bar-834"></a></var><br>
— Function File: <b>bar</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-bar-835"></a></var><br>
<blockquote><p>Produce a bar graph from two vectors of x-y data.
<p>If only one argument is given, it is taken as a vector of y-values
and the x coordinates are taken to be the indices of the elements.
<p>The default width of 0.8 for the bars can be changed using <var>w</var>.
<p>If <var>y</var> is a matrix, then each column of <var>y</var> is taken to be a
separate bar graph plotted on the same graph. By default the columns
are plotted side-by-side. This behavior can be changed by the <var>style</var>
argument, which can take the values <code>"grouped"</code> (the default),
or <code>"stacked"</code>.
<p>The optional return value <var>h</var> provides a handle to the "bar series"
object with one handle per column of the variable <var>y</var>. This
series allows common elements of the group of bar series objects to
be changed in a single bar series and the same properties are changed
in the other "bar series". For example
<pre class="example"> h = bar (rand (5, 10));
set (h(1), "basevalue", 0.5);
</pre>
<p class="noindent">changes the position on the base of all of the bar series.
<p>The optional input handle <var>h</var> allows an axis handle to be passed.
Properties of the patch graphics object can be changed using
<var>prop</var>, <var>val</var> pairs.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbarh.html#doc_002dbarh">barh</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/barh.m -->
<p><a name="doc_002dbarh"></a>
<div class="defun">
— Function File: <b>barh</b> (<var>x, y</var>)<var><a name="index-barh-836"></a></var><br>
— Function File: <b>barh</b> (<var>y</var>)<var><a name="index-barh-837"></a></var><br>
— Function File: <b>barh</b> (<var>x, y, w</var>)<var><a name="index-barh-838"></a></var><br>
— Function File: <b>barh</b> (<var>x, y, w, style</var>)<var><a name="index-barh-839"></a></var><br>
— Function File: <var>h</var> = <b>barh</b> (<var><small class="dots">...</small>, prop, val</var>)<var><a name="index-barh-840"></a></var><br>
— Function File: <b>barh</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-barh-841"></a></var><br>
<blockquote><p>Produce a horizontal bar graph from two vectors of x-y data.
<p>If only one argument is given, it is taken as a vector of y-values
and the x coordinates are taken to be the indices of the elements.
<p>The default width of 0.8 for the bars can be changed using <var>w</var>.
<p>If <var>y</var> is a matrix, then each column of <var>y</var> is taken to be a
separate bar graph plotted on the same graph. By default the columns
are plotted side-by-side. This behavior can be changed by the <var>style</var>
argument, which can take the values <code>"grouped"</code> (the default),
or <code>"stacked"</code>.
<p>The optional return value <var>h</var> provides a handle to the bar series
object. See <code>bar</code> for a description of the use of the bar series.
<p>The optional input handle <var>h</var> allows an axis handle to be passed.
Properties of the patch graphics object can be changed using
<var>prop</var>, <var>val</var> pairs.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/hist.m -->
<p><a name="doc_002dhist"></a>
<div class="defun">
— Function File: <b>hist</b> (<var>y, x, norm</var>)<var><a name="index-hist-842"></a></var><br>
<blockquote><p>Produce histogram counts or plots.
<p>With one vector input argument, plot a histogram of the values with
10 bins. The range of the histogram bins is determined by the range
of the data. With one matrix input argument, plot a histogram where
each bin contains a bar per input column.
<p>Given a second scalar argument, use that as the number of bins.
<p>Given a second vector argument, use that as the centers of the bins,
with the width of the bins determined from the adjacent values in
the vector.
<p>If third argument is provided, the histogram is normalized such that
the sum of the bars is equal to <var>norm</var>.
<p>Extreme values are lumped in the first and last bins.
<p>With two output arguments, produce the values <var>nn</var> and <var>xx</var> such
that <code>bar (</code><var>xx</var><code>, </code><var>nn</var><code>)</code> will plot the histogram.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbar.html#doc_002dbar">bar</a>.
</p></blockquote></div>
<!-- ./plot/stairs.m -->
<p><a name="doc_002dstairs"></a>
<div class="defun">
— Function File: <b>stairs</b> (<var>x, y</var>)<var><a name="index-stairs-843"></a></var><br>
— Function File: <b>stairs</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-stairs-844"></a></var><br>
— Function File: <b>stairs</b> (<var><small class="dots">...</small>, prop, val</var>)<var><a name="index-stairs-845"></a></var><br>
— Function File: <b>stairs</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-stairs-846"></a></var><br>
— Function File: <var>h</var> = <b>stairs</b> (<var><small class="dots">...</small></var>)<var><a name="index-stairs-847"></a></var><br>
<blockquote><p>Produce a stairstep plot. The arguments may be vectors or matrices.
<p>If only one argument is given, it is taken as a vector of y-values
and the x coordinates are taken to be the indices of the elements.
<p>If two output arguments are specified, the data are generated but
not plotted. For example,
<pre class="example"> stairs (x, y);
</pre>
<p class="noindent">and
<pre class="example"> [xs, ys] = stairs (x, y);
plot (xs, ys);
</pre>
<p class="noindent">are equivalent.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dsemilogx.html#doc_002dsemilogx">semilogx</a>, <a href="doc_002dsemilogy.html#doc_002dsemilogy">semilogy</a>, <a href="doc_002dloglog.html#doc_002dloglog">loglog</a>, <a href="doc_002dpolar.html#doc_002dpolar">polar</a>, <a href="doc_002dmesh.html#doc_002dmesh">mesh</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>, <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dxlabel.html#doc_002dxlabel">xlabel</a>, <a href="doc_002dylabel.html#doc_002dylabel">ylabel</a>, <a href="doc_002dtitle.html#doc_002dtitle">title</a>.
</p></blockquote></div>
<!-- ./plot/stem.m -->
<p><a name="doc_002dstem"></a>
<div class="defun">
— Function File: <var>h</var> = <b>stem</b> (<var>x, y, linespec</var>)<var><a name="index-stem-848"></a></var><br>
— Function File: <var>h</var> = <b>stem</b> (<var><small class="dots">...</small>, "filled"</var>)<var><a name="index-stem-849"></a></var><br>
<blockquote><p>Plot a stem graph from two vectors of x-y data. If only one argument
is given, it is taken as the y-values and the x coordinates are taken
from the indices of the elements.
<p>If <var>y</var> is a matrix, then each column of the matrix is plotted as
a separate stem graph. In this case <var>x</var> can either be a vector,
the same length as the number of rows in <var>y</var>, or it can be a
matrix of the same size as <var>y</var>.
<p>The default color is <code>"r"</code> (red). The default line style is
<code>"-"</code> and the default marker is <code>"o"</code>. The line style can
be altered by the <code>linespec</code> argument in the same manner as the
<code>plot</code> command. For example
<pre class="example"> x = 1:10;
y = ones (1, length (x))*2.*x;
stem (x, y, "b");
</pre>
<p class="noindent">plots 10 stems with heights from 2 to 20 in blue;
<p>The return value of <code>stem</code> is a vector if "stem series" graphics
handles, with one handle per column of the variable <var>y</var>. This
handle regroups the elements of the stem graph together as the
children of the "stem series" handle, allowing them to be altered
together. For example
<pre class="example"> x = [0 : 10].';
y = [sin(x), cos(x)]
h = stem (x, y);
set (h(2), "color", "g");
set (h(1), "basevalue", -1)
</pre>
<p class="noindent">changes the color of the second "stem series" and moves the base line
of the first.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dbarh.html#doc_002dbarh">barh</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/stem3.m -->
<p><a name="doc_002dstem3"></a>
<div class="defun">
— Function File: <var>h</var> = <b>stem3</b> (<var>x, y, z, linespec</var>)<var><a name="index-stem3-850"></a></var><br>
<blockquote><p>Plot a three-dimensional stem graph and return the handles of the line
and marker objects used to draw the stems as "stem series" object.
The default color is <code>"r"</code> (red). The default line style is
<code>"-"</code> and the default marker is <code>"o"</code>.
<p>For example,
<pre class="example"> theta = 0:0.2:6;
stem3 (cos (theta), sin (theta), theta)
</pre>
<p class="noindent">plots 31 stems with heights from 0 to 6 lying on a circle. Color
definitions with rgb-triples are not valid!
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dbarh.html#doc_002dbarh">barh</a>, <a href="doc_002dstem.html#doc_002dstem">stem</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/scatter.m -->
<p><a name="doc_002dscatter"></a>
<div class="defun">
— Function File: <b>scatter</b> (<var>x, y, s, c</var>)<var><a name="index-scatter-851"></a></var><br>
— Function File: <b>scatter</b> (<var><small class="dots">...</small>, 'filled'</var>)<var><a name="index-scatter-852"></a></var><br>
— Function File: <b>scatter</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-scatter-853"></a></var><br>
— Function File: <b>scatter</b> (<var><small class="dots">...</small>, prop, val</var>)<var><a name="index-scatter-854"></a></var><br>
— Function File: <b>scatter</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-scatter-855"></a></var><br>
— Function File: <var>h</var> = <b>scatter</b> (<var><small class="dots">...</small></var>)<var><a name="index-scatter-856"></a></var><br>
<blockquote>
<p>Plot a scatter plot of the data. A marker is plotted at each point
defined by the points in the vectors <var>x</var> and <var>y</var>. The size of
the markers used is determined by the <var>s</var>, which can be a scalar,
a vector of the same length of <var>x</var> and <var>y</var>. If <var>s</var> is not
given or is an empty matrix, then the default value of 8 points is used.
<p>The color of the markers is determined by <var>c</var>, which can be a string
defining a fixed color, a 3 element vector giving the red, green and blue
components of the color, a vector of the same length as <var>x</var> that gives
a scaled index into the current colormap, or a <var>n</var>-by-3 matrix defining
the colors of each of the markers individually.
<p>The marker to use can be changed with the <var>style</var> argument, that is a
string defining a marker in the same manner as the <code>plot</code> command.
If the argument 'filled' is given then the markers as filled. All
additional arguments are passed to the underlying patch command.
<p>The optional return value <var>h</var> provides a handle to the patch object
<pre class="example"> x = randn (100, 1);
y = randn (100, 1);
scatter (x, y, [], sqrt(x.^2 + y.^2));
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>, <a href="doc_002dscatter3.html#doc_002dscatter3">scatter3</a>.
</p></blockquote></div>
<!-- ./plot/scatter3.m -->
<p><a name="doc_002dscatter3"></a>
<div class="defun">
— Function File: <b>scatter3</b> (<var>x, y, z, s, c</var>)<var><a name="index-scatter3-857"></a></var><br>
— Function File: <b>scatter3</b> (<var><small class="dots">...</small>, 'filled'</var>)<var><a name="index-scatter3-858"></a></var><br>
— Function File: <b>scatter3</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-scatter3-859"></a></var><br>
— Function File: <b>scatter3</b> (<var><small class="dots">...</small>, prop, val</var>)<var><a name="index-scatter3-860"></a></var><br>
— Function File: <b>scatter3</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-scatter3-861"></a></var><br>
— Function File: <var>h</var> = <b>scatter3</b> (<var><small class="dots">...</small></var>)<var><a name="index-scatter3-862"></a></var><br>
<blockquote>
<p>Plot a scatter plot of the data in 3D. A marker is plotted at each point
defined by the points in the vectors <var>x</var>, <var>y</var> and <var>z</var>. The size
of the markers used is determined by <var>s</var>, which can be a scalar or
a vector of the same length of <var>x</var>, <var>y</var> and <var>z</var>. If <var>s</var> is
not given or is an empty matrix, then the default value of 8 points is used.
<p>The color of the markers is determined by <var>c</var>, which can be a string
defining a fixed color, a 3 element vector giving the red, green and blue
components of the color, a vector of the same length as <var>x</var> that gives
a scaled index into the current colormap, or a <var>n</var>-by-3 matrix defining
the colors of each of the markers individually.
<p>The marker to use can be changed with the <var>style</var> argument, that is a
string defining a marker in the same manner as the <code>plot</code> command.
If the argument 'filled' is given then the markers as filled. All
additional arguments are passed to the underlying patch command.
<p>The optional return value <var>h</var> provides a handle to the patch object
<pre class="example"> [x, y, z] = peaks (20);
scatter3 (x(:), y(:), z(:), [], z(:));
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>, <a href="doc_002dscatter.html#doc_002dscatter">scatter</a>.
</p></blockquote></div>
<!-- ./plot/plotmatrix.m -->
<p><a name="doc_002dplotmatrix"></a>
<div class="defun">
— Function File: <b>plotmatrix</b> (<var>x, y</var>)<var><a name="index-plotmatrix-863"></a></var><br>
— Function File: <b>plotmatrix</b> (<var>x</var>)<var><a name="index-plotmatrix-864"></a></var><br>
— Function File: <b>plotmatrix</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-plotmatrix-865"></a></var><br>
— Function File: <b>plotmatrix</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-plotmatrix-866"></a></var><br>
— Function File: [<var>h</var>, <var>ax</var>, <var>bigax</var>, <var>p</var>, <var>pax</var>] = <b>plotmatrix</b> (<var><small class="dots">...</small></var>)<var><a name="index-plotmatrix-867"></a></var><br>
<blockquote><p>Scatter plot of the columns of one matrix against another. Given the
arguments <var>x</var> and <var>y</var>, that have a matching number of rows,
<code>plotmatrix</code> plots a set of axes corresponding to
<pre class="example"> plot (<var>x</var> (:, i), <var>y</var> (:, j)
</pre>
<p>Given a single argument <var>x</var>, then this is equivalent to
<pre class="example"> plotmatrix (<var>x</var>, <var>x</var>)
</pre>
<p class="noindent">except that the diagonal of the set of axes will be replaced with the
histogram <code>hist (</code><var>x</var><code> (:, i))</code>.
<p>The marker to use can be changed with the <var>style</var> argument, that is a
string defining a marker in the same manner as the <code>plot</code>
command. If a leading axes handle <var>h</var> is passed to
<code>plotmatrix</code>, then this axis will be used for the plot.
<p>The optional return value <var>h</var> provides handles to the individual
graphics objects in the scatter plots, whereas <var>ax</var> returns the
handles to the scatter plot axis objects. <var>bigax</var> is a hidden
axis object that surrounds the other axes, such that the commands
<code>xlabel</code>, <code>title</code>, etc., will be associated with this hidden
axis. Finally <var>p</var> returns the graphics objects associated with
the histogram and <var>pax</var> the corresponding axes objects.
<pre class="example"> plotmatrix (randn (100, 3), 'g+')
</pre>
</blockquote></div>
<!-- ./plot/pareto.m -->
<p><a name="doc_002dpareto"></a>
<div class="defun">
— Function File: <b>pareto</b> (<var>x</var>)<var><a name="index-pareto-868"></a></var><br>
— Function File: <b>pareto</b> (<var>x, y</var>)<var><a name="index-pareto-869"></a></var><br>
— Function File: <b>pareto</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-pareto-870"></a></var><br>
— Function File: <var>h</var> = <b>pareto</b> (<var><small class="dots">...</small></var>)<var><a name="index-pareto-871"></a></var><br>
<blockquote><p>Draw a Pareto chart, also called ABC chart. A Pareto chart is a bar graph
used to arrange information in such a way that priorities for process
improvement can be established. It organizes and displays information
to show the relative importance of data. The chart is similar to the
histogram or bar chart, except that the bars are arranged in decreasing
order from left to right along the abscissa.
<p>The fundamental idea (Pareto principle) behind the use of Pareto
diagrams is that the majority of an effect is due to a small subset of the
causes, so for quality improvement the first few (as presented on the
diagram) contributing causes to a problem usually account for the majority
of the result. Thus, targeting these "major causes" for elimination
results in the most cost-effective improvement scheme.
<p>The data are passed as <var>x</var> and the abscissa as <var>y</var>. If <var>y</var> is
absent, then the abscissa are assumed to be <code>1 : length (</code><var>x</var><code>)</code>.
<var>y</var> can be a string array, a cell array of strings or a numerical
vector.
<p>An example of the use of <code>pareto</code> is
<pre class="example"> Cheese = {"Cheddar", "Swiss", "Camembert", ...
"Munster", "Stilton", "Blue"};
Sold = [105, 30, 70, 10, 15, 20];
pareto(Sold, Cheese);
</pre>
</blockquote></div>
<!-- ./plot/rose.m -->
<p><a name="doc_002drose"></a>
<div class="defun">
— Function File: <b>rose</b> (<var>th, r</var>)<var><a name="index-rose-872"></a></var><br>
— Function File: <b>rose</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-rose-873"></a></var><br>
— Function File: <var>h</var> = <b>rose</b> (<var><small class="dots">...</small></var>)<var><a name="index-rose-874"></a></var><br>
— Function File: [<var>r</var>, <var>th</var>] = <b>rose</b> (<var><small class="dots">...</small></var>)<var><a name="index-rose-875"></a></var><br>
<blockquote>
<p>Plot an angular histogram. With one vector argument <var>th</var>, plots the
histogram with 20 angular bins. If <var>th</var> is a matrix, then each column
of <var>th</var> produces a separate histogram.
<p>If <var>r</var> is given and is a scalar, then the histogram is produced with
<var>r</var> bins. If <var>r</var> is a vector, then the center of each bin are
defined by the values of <var>r</var>.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<p>If two output arguments are requested, then rather than plotting the
histogram, the polar vectors necessary to plot the histogram are
returned.
<pre class="example"> [r, t] = rose ([2*randn(1e5,1), pi + 2 * randn(1e5,1)]);
polar (r, t);
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dcompass.html#doc_002dcompass">compass</a>, <a href="doc_002dpolar.html#doc_002dpolar">polar</a>, <a href="doc_002dhist.html#doc_002dhist">hist</a>.
</p></blockquote></div>
<p>The <code>contour</code>, <code>contourf</code> and <code>contourc</code> functions
produce two-dimensional contour plots from three-dimensional data.
<!-- ./plot/contour.m -->
<p><a name="doc_002dcontour"></a>
<div class="defun">
— Function File: <b>contour</b> (<var>z</var>)<var><a name="index-contour-876"></a></var><br>
— Function File: <b>contour</b> (<var>z, vn</var>)<var><a name="index-contour-877"></a></var><br>
— Function File: <b>contour</b> (<var>x, y, z</var>)<var><a name="index-contour-878"></a></var><br>
— Function File: <b>contour</b> (<var>x, y, z, vn</var>)<var><a name="index-contour-879"></a></var><br>
— Function File: <b>contour</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-contour-880"></a></var><br>
— Function File: <b>contour</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-contour-881"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contour</b> (<var><small class="dots">...</small></var>)<var><a name="index-contour-882"></a></var><br>
<blockquote><p>Plot level curves (contour lines) of the matrix <var>z</var>, using the
contour matrix <var>c</var> computed by <code>contourc</code> from the same
arguments; see the latter for their interpretation. The set of
contour levels, <var>c</var>, is only returned if requested. For example:
<pre class="example"> x = 0:2;
y = x;
z = x' * y;
contour (x, y, z, 2:3)
</pre>
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
Any markers defined by <var>style</var> are ignored.
<p>The optional input and output argument <var>h</var> allows an axis handle to
be passed to <code>contour</code> and the handles to the contour objects to be
returned.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcontourc.html#doc_002dcontourc">contourc</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/contourf.m -->
<p><a name="doc_002dcontourf"></a>
<div class="defun">
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>x, y, z, lvl</var>)<var><a name="index-contourf-883"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>x, y, z, n</var>)<var><a name="index-contourf-884"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>x, y, z</var>)<var><a name="index-contourf-885"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>z, n</var>)<var><a name="index-contourf-886"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>z, lvl</var>)<var><a name="index-contourf-887"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>z</var>)<var><a name="index-contourf-888"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var>ax, <small class="dots">...</small></var>)<var><a name="index-contourf-889"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contourf</b> (<var><small class="dots">...</small>, "property", val</var>)<var><a name="index-contourf-890"></a></var><br>
<blockquote><p>Compute and plot filled contours of the matrix <var>z</var>.
Parameters <var>x</var>, <var>y</var> and <var>n</var> or <var>lvl</var> are optional.
<p>The return value <var>c</var> is a 2xn matrix containing the contour lines
as described in the help to the contourc function.
<p>The return value <var>h</var> is handle-vector to the patch objects creating
the filled contours.
<p>If <var>x</var> and <var>y</var> are omitted they are taken as the row/column
index of <var>z</var>. <var>n</var> is a scalar denoting the number of lines
to compute. Alternatively <var>lvl</var> is a vector containing the
contour levels. If only one value (e.g., lvl0) is wanted, set
<var>lvl</var> to [lvl0, lvl0]. If both <var>n</var> or <var>lvl</var> are omitted
a default value of 10 contour level is assumed.
<p>If provided, the filled contours are added to the axes object
<var>ax</var> instead of the current axis.
<p>The following example plots filled contours of the <code>peaks</code>
function.
<pre class="example"> [x, y, z] = peaks (50);
contourf (x, y, z, -7:9)
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcontour.html#doc_002dcontour">contour</a>, <a href="doc_002dcontourc.html#doc_002dcontourc">contourc</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>.
</p></blockquote></div>
<!-- ./plot/contourc.m -->
<p><a name="doc_002dcontourc"></a>
<div class="defun">
— Function File: [<var>c</var>, <var>lev</var>] = <b>contourc</b> (<var>x, y, z, vn</var>)<var><a name="index-contourc-891"></a></var><br>
<blockquote><p>Compute isolines (contour lines) of the matrix <var>z</var>.
Parameters <var>x</var>, <var>y</var> and <var>vn</var> are optional.
<p>The return value <var>lev</var> is a vector of the contour levels.
The return value <var>c</var> is a 2 by <var>n</var> matrix containing the
contour lines in the following format
<pre class="example"> <var>c</var> = [lev1, x1, x2, ..., levn, x1, x2, ...
len1, y1, y2, ..., lenn, y1, y2, ...]
</pre>
<p class="noindent">in which contour line <var>n</var> has a level (height) of <var>levn</var> and
length of <var>lenn</var>.
<p>If <var>x</var> and <var>y</var> are omitted they are taken as the row/column
index of <var>z</var>. <var>vn</var> is either a scalar denoting the number of lines
to compute or a vector containing the values of the lines. If only one
value is wanted, set <var>vn</var><code> = [val, val]</code>;
If <var>vn</var> is omitted it defaults to 10.
<p>For example,
<pre class="example"> x = 0:2;
y = x;
z = x' * y;
contourc (x, y, z, 2:3)
⇒ 2.0000 2.0000 1.0000 3.0000 1.5000 2.0000
2.0000 1.0000 2.0000 2.0000 2.0000 1.5000
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcontour.html#doc_002dcontour">contour</a>.
</p></blockquote></div>
<!-- ./plot/contour3.m -->
<p><a name="doc_002dcontour3"></a>
<div class="defun">
— Function File: <b>contour3</b> (<var>z</var>)<var><a name="index-contour3-892"></a></var><br>
— Function File: <b>contour3</b> (<var>z, vn</var>)<var><a name="index-contour3-893"></a></var><br>
— Function File: <b>contour3</b> (<var>x, y, z</var>)<var><a name="index-contour3-894"></a></var><br>
— Function File: <b>contour3</b> (<var>x, y, z, vn</var>)<var><a name="index-contour3-895"></a></var><br>
— Function File: <b>contour3</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-contour3-896"></a></var><br>
— Function File: <b>contour3</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-contour3-897"></a></var><br>
— Function File: [<var>c</var>, <var>h</var>] = <b>contour3</b> (<var><small class="dots">...</small></var>)<var><a name="index-contour3-898"></a></var><br>
<blockquote><p>Plot level curves (contour lines) of the matrix <var>z</var>, using the
contour matrix <var>c</var> computed by <code>contourc</code> from the same
arguments; see the latter for their interpretation. The contours are
plotted at the Z level corresponding to their contour. The set of
contour levels, <var>c</var>, is only returned if requested. For example:
<pre class="example"> contour3 (peaks (19));
hold on
surface (peaks (19), "facecolor", "none", "EdgeColor", "black")
colormap hot
</pre>
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
Any markers defined by <var>style</var> are ignored.
<p>The optional input and output argument <var>h</var> allows an axis handle to
be passed to <code>contour</code> and the handles to the contour objects to be
returned.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcontourc.html#doc_002dcontourc">contourc</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>, <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<p>The <code>errorbar</code>, <code>semilogxerr</code>, <code>semilogyerr</code>, and
<code>loglogerr</code> functions produce plots with error bar markers. For
example,
<pre class="example"> x = 0:0.1:10;
y = sin (x);
yp = 0.1 .* randn (size (x));
ym = -0.1 .* randn (size (x));
errorbar (x, sin (x), ym, yp);
</pre>
<p class="noindent">produces the figure shown in <a href="fig_003aerrorbar.html#fig_003aerrorbar">fig:errorbar</a>.
<div class="float">
<a name="fig_003aerrorbar"></a><div align="center"><img src="errorbar.png" alt="errorbar.png"></div>
<p><strong class="float-caption">Figure 15.3: Errorbar plot.</strong></p></div>
<!-- ./plot/errorbar.m -->
<p><a name="doc_002derrorbar"></a>
<div class="defun">
— Function File: <b>errorbar</b> (<var>args</var>)<var><a name="index-errorbar-899"></a></var><br>
<blockquote><p>This function produces two-dimensional plots with errorbars. Many
different combinations of arguments are possible. The simplest form is
<pre class="example"> errorbar (<var>y</var>, <var>ey</var>)
</pre>
<p class="noindent">where the first argument is taken as the set of <var>y</var> coordinates
and the second argument <var>ey</var> is taken as the errors of the
<var>y</var> values. <var>x</var> coordinates are taken to be the indices
of the elements, starting with 1.
<p>If more than two arguments are given, they are interpreted as
<pre class="example"> errorbar (<var>x</var>, <var>y</var>, ..., <var>fmt</var>, ...)
</pre>
<p class="noindent">where after <var>x</var> and <var>y</var> there can be up to four error
parameters such as <var>ey</var>, <var>ex</var>, <var>ly</var>, <var>uy</var>, etc.,
depending on the plot type. Any number of argument sets may appear,
as long as they are separated with a format string <var>fmt</var>.
<p>If <var>y</var> is a matrix, <var>x</var> and error parameters must also be matrices
having same dimensions. The columns of <var>y</var> are plotted versus the
corresponding columns of <var>x</var> and errorbars are drawn from
the corresponding columns of error parameters.
<p>If <var>fmt</var> is missing, yerrorbars ("~") plot style is assumed.
<p>If the <var>fmt</var> argument is supplied, it is interpreted as in
normal plots. In addition the following plot styles are supported by
errorbar:
<dl>
<dt>‘<samp><span class="samp">~</span></samp>’<dd>Set yerrorbars plot style (default).
<br><dt>‘<samp><span class="samp">></span></samp>’<dd>Set xerrorbars plot style.
<br><dt>‘<samp><span class="samp">~></span></samp>’<dd>Set xyerrorbars plot style.
<br><dt>‘<samp><span class="samp">#</span></samp>’<dd>Set boxes plot style.
<br><dt>‘<samp><span class="samp">#~</span></samp>’<dd>Set boxerrorbars plot style.
<br><dt>‘<samp><span class="samp">#~></span></samp>’<dd>Set boxxyerrorbars plot style.
</dl>
<p>Examples:
<pre class="example"> errorbar (<var>x</var>, <var>y</var>, <var>ex</var>, ">")
</pre>
<p>produces an xerrorbar plot of <var>y</var> versus <var>x</var> with <var>x</var>
errorbars drawn from <var>x</var>-<var>ex</var> to <var>x</var>+<var>ex</var>.
<pre class="example"> errorbar (<var>x</var>, <var>y1</var>, <var>ey</var>, "~",
<var>x</var>, <var>y2</var>, <var>ly</var>, <var>uy</var>)
</pre>
<p>produces yerrorbar plots with <var>y1</var> and <var>y2</var> versus <var>x</var>.
Errorbars for <var>y1</var> are drawn from <var>y1</var>-<var>ey</var> to
<var>y1</var>+<var>ey</var>, errorbars for <var>y2</var> from <var>y2</var>-<var>ly</var> to
<var>y2</var>+<var>uy</var>.
<pre class="example"> errorbar (<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>,
<var>ly</var>, <var>uy</var>, "~>")
</pre>
<p>produces an xyerrorbar plot of <var>y</var> versus <var>x</var> in which
<var>x</var> errorbars are drawn from <var>x</var>-<var>lx</var> to <var>x</var>+<var>ux</var>
and <var>y</var> errorbars from <var>y</var>-<var>ly</var> to <var>y</var>+<var>uy</var>.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dsemilogxerr.html#doc_002dsemilogxerr">semilogxerr</a>, <a href="doc_002dsemilogyerr.html#doc_002dsemilogyerr">semilogyerr</a>, <a href="doc_002dloglogerr.html#doc_002dloglogerr">loglogerr</a>.
</p></blockquote></div>
<!-- ./plot/semilogxerr.m -->
<p><a name="doc_002dsemilogxerr"></a>
<div class="defun">
— Function File: <b>semilogxerr</b> (<var>args</var>)<var><a name="index-semilogxerr-900"></a></var><br>
<blockquote><p>Produce two-dimensional plots on a semilogarithm axis with errorbars.
Many different combinations of arguments are possible. The most used
form is
<pre class="example"> semilogxerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre>
<p class="noindent">which produces a semi-logarithm plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See errorbar for available formats and
additional information.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002derrorbar.html#doc_002derrorbar">errorbar</a>, <a href="doc_002dloglogerr.html#doc_002dloglogerr">loglogerr</a>, <a href="doc_002dsemilogyerr.html#doc_002dsemilogyerr">semilogyerr</a>.
</p></blockquote></div>
<!-- ./plot/semilogyerr.m -->
<p><a name="doc_002dsemilogyerr"></a>
<div class="defun">
— Function File: <b>semilogyerr</b> (<var>args</var>)<var><a name="index-semilogyerr-901"></a></var><br>
<blockquote><p>Produce two-dimensional plots on a semilogarithm axis with errorbars.
Many different combinations of arguments are possible. The most used
form is
<pre class="example"> semilogyerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre>
<p class="noindent">which produces a semi-logarithm plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See errorbar for available formats and
additional information.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002derrorbar.html#doc_002derrorbar">errorbar</a>, <a href="doc_002dloglogerr.html#doc_002dloglogerr">loglogerr</a>, <a href="doc_002dsemilogxerr.html#doc_002dsemilogxerr">semilogxerr</a>.
</p></blockquote></div>
<!-- ./plot/loglogerr.m -->
<p><a name="doc_002dloglogerr"></a>
<div class="defun">
— Function File: <b>loglogerr</b> (<var>args</var>)<var><a name="index-loglogerr-902"></a></var><br>
<blockquote><p>Produce two-dimensional plots on double logarithm axis with
errorbars. Many different combinations of arguments are possible.
The most used form is
<pre class="example"> loglogerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre>
<p class="noindent">which produces a double logarithm plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See errorbar for available formats and
additional information.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002derrorbar.html#doc_002derrorbar">errorbar</a>, <a href="doc_002dsemilogxerr.html#doc_002dsemilogxerr">semilogxerr</a>, <a href="doc_002dsemilogyerr.html#doc_002dsemilogyerr">semilogyerr</a>.
</p></blockquote></div>
<p>Finally, the <code>polar</code> function allows you to easily plot data in
polar coordinates. However, the display coordinates remain rectangular
and linear. For example,
<pre class="example"> polar (0:0.1:10*pi, 0:0.1:10*pi);
</pre>
<p class="noindent">produces the spiral plot shown in <a href="fig_003apolar.html#fig_003apolar">fig:polar</a>.
<div class="float">
<a name="fig_003apolar"></a><div align="center"><img src="polar.png" alt="polar.png"></div>
<p><strong class="float-caption">Figure 15.4: Polar plot.</strong></p></div>
<!-- ./plot/polar.m -->
<p><a name="doc_002dpolar"></a>
<div class="defun">
— Function File: <b>polar</b> (<var>theta, rho, fmt</var>)<var><a name="index-polar-903"></a></var><br>
<blockquote><p>Make a two-dimensional plot given the polar coordinates <var>theta</var> and
<var>rho</var>.
<p>The optional third argument specifies the line type.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/pie.m -->
<p><a name="doc_002dpie"></a>
<div class="defun">
— Function File: <b>pie</b> (<var>y</var>)<var><a name="index-pie-904"></a></var><br>
— Function File: <b>pie</b> (<var>y, explode</var>)<var><a name="index-pie-905"></a></var><br>
— Function File: <b>pie</b> (<var><small class="dots">...</small>, labels</var>)<var><a name="index-pie-906"></a></var><br>
— Function File: <b>pie</b> (<var>h, <small class="dots">...</small></var>)<var>;<a name="index-pie-907"></a></var><br>
— Function File: <var>h</var> = <b>pie</b> (<var><small class="dots">...</small></var>)<var>;<a name="index-pie-908"></a></var><br>
<blockquote><p>Produce a pie chart.
<p>Called with a single vector argument, produces a pie chart of the
elements in <var>x</var>, with the size of the slice determined by percentage
size of the values of <var>x</var>.
<p>The variable <var>explode</var> is a vector of the same length as <var>x</var> that
if non zero 'explodes' the slice from the pie chart.
<p>If given <var>labels</var> is a cell array of strings of the same length as
<var>x</var>, giving the labels of each of the slices of the pie chart.
<p>The optional return value <var>h</var> provides a handle to the patch object.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dbar.html#doc_002dbar">bar</a>, <a href="doc_002dstem.html#doc_002dstem">stem</a>.
</p></blockquote></div>
<!-- ./plot/quiver.m -->
<p><a name="doc_002dquiver"></a>
<div class="defun">
— Function File: <b>quiver</b> (<var>u, v</var>)<var><a name="index-quiver-909"></a></var><br>
— Function File: <b>quiver</b> (<var>x, y, u, v</var>)<var><a name="index-quiver-910"></a></var><br>
— Function File: <b>quiver</b> (<var><small class="dots">...</small>, s</var>)<var><a name="index-quiver-911"></a></var><br>
— Function File: <b>quiver</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-quiver-912"></a></var><br>
— Function File: <b>quiver</b> (<var><small class="dots">...</small>, 'filled'</var>)<var><a name="index-quiver-913"></a></var><br>
— Function File: <b>quiver</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-quiver-914"></a></var><br>
— Function File: <var>h</var> = <b>quiver</b> (<var><small class="dots">...</small></var>)<var><a name="index-quiver-915"></a></var><br>
<blockquote>
<p>Plot the <code>(</code><var>u</var><code>, </code><var>v</var><code>)</code> components of a vector field in
an <code>(</code><var>x</var><code>, </code><var>y</var><code>)</code> meshgrid. If the grid is uniform, you can
specify <var>x</var> and <var>y</var> as vectors.
<p>If <var>x</var> and <var>y</var> are undefined they are assumed to be
<code>(1:</code><var>m</var><code>, 1:</code><var>n</var><code>)</code> where <code>[</code><var>m</var><code>, </code><var>n</var><code>] =
size(</code><var>u</var><code>)</code>.
<p>The variable <var>s</var> is a scalar defining a scaling factor to use for
the arrows of the field relative to the mesh spacing. A value of 0
disables all scaling. The default value is 1.
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
If a marker is specified then markers at the grid points of the vectors are
printed rather than arrows. If the argument 'filled' is given then the
markers as filled.
<p>The optional return value <var>h</var> provides a quiver group that
regroups the components of the quiver plot (body, arrow and marker),
and allows them to be changed together
<pre class="example"> [x, y] = meshgrid (1:2:20);
h = quiver (x, y, sin (2*pi*x/10), sin (2*pi*y/10));
set (h, "maxheadsize", 0.33);
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/quiver3.m -->
<p><a name="doc_002dquiver3"></a>
<div class="defun">
— Function File: <b>quiver3</b> (<var>u, v, w</var>)<var><a name="index-quiver3-916"></a></var><br>
— Function File: <b>quiver3</b> (<var>x, y, z, u, v, w</var>)<var><a name="index-quiver3-917"></a></var><br>
— Function File: <b>quiver3</b> (<var><small class="dots">...</small>, s</var>)<var><a name="index-quiver3-918"></a></var><br>
— Function File: <b>quiver3</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-quiver3-919"></a></var><br>
— Function File: <b>quiver3</b> (<var><small class="dots">...</small>, 'filled'</var>)<var><a name="index-quiver3-920"></a></var><br>
— Function File: <b>quiver3</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-quiver3-921"></a></var><br>
— Function File: <var>h</var> = <b>quiver3</b> (<var><small class="dots">...</small></var>)<var><a name="index-quiver3-922"></a></var><br>
<blockquote>
<p>Plot the <code>(</code><var>u</var><code>, </code><var>v</var><code>, </code><var>w</var><code>)</code> components of a vector field in
an <code>(</code><var>x</var><code>, </code><var>y</var><code>), </code><var>z</var> meshgrid. If the grid is uniform, you
can specify <var>x</var>, <var>y</var> <var>z</var> as vectors.
<p>If <var>x</var>, <var>y</var> and <var>z</var> are undefined they are assumed to be
<code>(1:</code><var>m</var><code>, 1:</code><var>n</var><code>, 1:</code><var>p</var><code>)</code> where <code>[</code><var>m</var><code>, </code><var>n</var><code>] =
size(</code><var>u</var><code>)</code> and <var>p</var><code> = max (size (</code><var>w</var><code>))</code>.
<p>The variable <var>s</var> is a scalar defining a scaling factor to use for
the arrows of the field relative to the mesh spacing. A value of 0
disables all scaling. The default value is 1.
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
If a marker is specified then markers at the grid points of the vectors are
printed rather than arrows. If the argument 'filled' is given then the
markers as filled.
<p>The optional return value <var>h</var> provides a quiver group that
regroups the components of the quiver plot (body, arrow and marker),
and allows them to be changed together
<pre class="example"> [x, y, z] = peaks (25);
surf (x, y, z);
hold on;
[u, v, w] = surfnorm (x, y, z / 10);
h = quiver3 (x, y, z, u, v, w);
set (h, "maxheadsize", 0.33);
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>.
</p></blockquote></div>
<!-- ./plot/compass.m -->
<p><a name="doc_002dcompass"></a>
<div class="defun">
— Function File: <b>compass</b> (<var>u, v</var>)<var><a name="index-compass-923"></a></var><br>
— Function File: <b>compass</b> (<var>z</var>)<var><a name="index-compass-924"></a></var><br>
— Function File: <b>compass</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-compass-925"></a></var><br>
— Function File: <b>compass</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-compass-926"></a></var><br>
— Function File: <var>h</var> = <b>compass</b> (<var><small class="dots">...</small></var>)<var><a name="index-compass-927"></a></var><br>
<blockquote>
<p>Plot the <code>(</code><var>u</var><code>, </code><var>v</var><code>)</code> components of a vector field emanating
from the origin of a polar plot. If a single complex argument <var>z</var> is
given, then <var>u</var><code> = real (</code><var>z</var><code>)</code> and <var>v</var><code> = imag
(</code><var>z</var><code>)</code>.
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> a = toeplitz([1;randn(9,1)],[1,randn(1,9)]);
compass (eig (a))
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dpolar.html#doc_002dpolar">polar</a>, <a href="doc_002dquiver.html#doc_002dquiver">quiver</a>, <a href="doc_002dfeather.html#doc_002dfeather">feather</a>.
</p></blockquote></div>
<!-- ./plot/feather.m -->
<p><a name="doc_002dfeather"></a>
<div class="defun">
— Function File: <b>feather</b> (<var>u, v</var>)<var><a name="index-feather-928"></a></var><br>
— Function File: <b>feather</b> (<var>z</var>)<var><a name="index-feather-929"></a></var><br>
— Function File: <b>feather</b> (<var><small class="dots">...</small>, style</var>)<var><a name="index-feather-930"></a></var><br>
— Function File: <b>feather</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-feather-931"></a></var><br>
— Function File: <var>h</var> = <b>feather</b> (<var><small class="dots">...</small></var>)<var><a name="index-feather-932"></a></var><br>
<blockquote>
<p>Plot the <code>(</code><var>u</var><code>, </code><var>v</var><code>)</code> components of a vector field emanating
from equidistant points on the x-axis. If a single complex argument
<var>z</var> is given, then <var>u</var><code> = real (</code><var>z</var><code>)</code> and
<var>v</var><code> = imag (</code><var>z</var><code>)</code>.
<p>The style to use for the plot can be defined with a line style <var>style</var>
in a similar manner to the line styles used with the <code>plot</code> command.
<p>The optional return value <var>h</var> provides a list of handles to the
the parts of the vector field (body, arrow and marker).
<pre class="example"> phi = [0 : 15 : 360] * pi / 180;
feather (sin (phi), cos (phi))
</pre>
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dquiver.html#doc_002dquiver">quiver</a>, <a href="doc_002dcompass.html#doc_002dcompass">compass</a>.
</p></blockquote></div>
<!-- ./plot/pcolor.m -->
<p><a name="doc_002dpcolor"></a>
<div class="defun">
— Function File: <b>pcolor</b> (<var>x, y, c</var>)<var><a name="index-pcolor-933"></a></var><br>
— Function File: <b>pcolor</b> (<var>c</var>)<var><a name="index-pcolor-934"></a></var><br>
<blockquote><p>Density plot for given matrices <var>x</var>, and <var>y</var> from <code>meshgrid</code> and
a matrix <var>c</var> corresponding to the <var>x</var> and <var>y</var> coordinates of
the mesh's vertices. If <var>x</var> and <var>y</var> are vectors, then a typical vertex
is (<var>x</var>(j), <var>y</var>(i), <var>c</var>(i,j)). Thus, columns of <var>c</var>
correspond to different <var>x</var> values and rows of <var>c</var> correspond
to different <var>y</var> values.
<p>The <code>colormap</code> is scaled to the extents of <var>c</var>.
Limits may be placed on the color axis by the
command <code>caxis</code>, or by setting the <code>clim</code> property of the
parent axis.
<p>The face color of each cell of the mesh is determined by interpolating
the values of <var>c</var> for the cell's vertices. Contrast this with
<code>imagesc</code> which renders one cell for each element of <var>c</var>.
<p><code>shading</code> modifies an attribute determining the manner by which the
face color of each cell is interpolated from the values of <var>c</var>,
and the visibility of the cells' edges. By default the attribute is
"faceted", which renders a single color for each cell's face with the edge
visible.
<p><var>h</var> is the handle to the surface object.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dcaxis.html#doc_002dcaxis">caxis</a>, <a href="doc_002dcontour.html#doc_002dcontour">contour</a>, <a href="doc_002dmeshgrid.html#doc_002dmeshgrid">meshgrid</a>, <a href="doc_002dimagesc.html#doc_002dimagesc">imagesc</a>, <a href="doc_002dshading.html#doc_002dshading">shading</a>.
</p></blockquote></div>
<!-- ./plot/area.m -->
<p><a name="doc_002darea"></a>
<div class="defun">
— Function File: <b>area</b> (<var>x, y</var>)<var><a name="index-area-935"></a></var><br>
— Function File: <b>area</b> (<var>x, y, lvl</var>)<var><a name="index-area-936"></a></var><br>
— Function File: <b>area</b> (<var><small class="dots">...</small>, prop, val, <small class="dots">...</small></var>)<var><a name="index-area-937"></a></var><br>
— Function File: <b>area</b> (<var>y, <small class="dots">...</small></var>)<var><a name="index-area-938"></a></var><br>
— Function File: <b>area</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-area-939"></a></var><br>
— Function File: <var>h</var> = <b>area</b> (<var><small class="dots">...</small></var>)<var><a name="index-area-940"></a></var><br>
<blockquote><p>Area plot of cumulative sum of the columns of <var>y</var>. This shows the
contributions of a value to a sum, and is functionally similar to
<code>plot (</code><var>x</var><code>, cumsum (</code><var>y</var><code>, 2))</code>, except that the area under
the curve is shaded.
<p>If the <var>x</var> argument is omitted it is assumed to be given by
<code>1 : rows (</code><var>y</var><code>)</code>. A value <var>lvl</var> can be defined that determines
where the base level of the shading under the curve should be defined.
<p>Additional arguments to the <code>area</code> function are passed to the
<code>patch</code>. The optional return value <var>h</var> provides a handle to
area series object representing the patches of the areas.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dplot.html#doc_002dplot">plot</a>, <a href="doc_002dpatch.html#doc_002dpatch">patch</a>.
</p></blockquote></div>
<!-- ./plot/comet.m -->
<p><a name="doc_002dcomet"></a>
<div class="defun">
— Function File: <b>comet</b> (<var>y</var>)<var><a name="index-comet-941"></a></var><br>
— Function File: <b>comet</b> (<var>x, y</var>)<var><a name="index-comet-942"></a></var><br>
— Function File: <b>comet</b> (<var>x, y, p</var>)<var><a name="index-comet-943"></a></var><br>
— Function File: <b>comet</b> (<var>ax, <small class="dots">...</small></var>)<var><a name="index-comet-944"></a></var><br>
<blockquote><p>Produce a simple comet style animation along the trajectory provided by
the input coordinate vectors (<var>x</var>, <var>y</var>), where <var>x</var> will default
to the indices of <var>y</var>.
<p>The speed of the comet may be controlled by <var>p</var>, which represents the
time which passes as the animation passes from one point to the next. The
default for <var>p</var> is 0.1 seconds.
<p>If <var>ax</var> is specified the animation is produced in that axis rather than
the <code>gca</code>.
</p></blockquote></div>
<p>The axis function may be used to change the axis limits of an existing
plot and various other axis properties, such as the aspect ratio and the
appearance of tic marks.
<!-- ./plot/axis.m -->
<p><a name="doc_002daxis"></a>
<div class="defun">
— Function File: <b>axis</b> (<var>limits</var>)<var><a name="index-axis-945"></a></var><br>
<blockquote><p>Set axis limits for plots.
<p>The argument <var>limits</var> should be a 2, 4, or 6 element vector. The
first and second elements specify the lower and upper limits for the x
axis. The third and fourth specify the limits for the y-axis, and the
fifth and sixth specify the limits for the z-axis.
<p>Without any arguments, <code>axis</code> turns autoscaling on.
<p>With one output argument, <code>x = axis</code> returns the current axes
<p>The vector argument specifying limits is optional, and additional
string arguments may be used to specify various axis properties. For
example,
<pre class="example"> axis ([1, 2, 3, 4], "square");
</pre>
<p class="noindent">forces a square aspect ratio, and
<pre class="example"> axis ("labely", "tic");
</pre>
<p class="noindent">turns tic marks on for all axes and tic mark labels on for the y-axis
only.
<p class="noindent">The following options control the aspect ratio of the axes.
<dl>
<dt><code>"square"</code><dd>Force a square aspect ratio.
<br><dt><code>"equal"</code><dd>Force x distance to equal y-distance.
<br><dt><code>"normal"</code><dd>Restore the balance.
</dl>
<p class="noindent">The following options control the way axis limits are interpreted.
<dl>
<dt><code>"auto"</code><dd>Set the specified axes to have nice limits around the data
or all if no axes are specified.
<br><dt><code>"manual"</code><dd>Fix the current axes limits.
<br><dt><code>"tight"</code><dd>Fix axes to the limits of the data.
</dl>
<p class="noindent">The option <code>"image"</code> is equivalent to <code>"tight"</code> and
<code>"equal"</code>.
<p class="noindent">The following options affect the appearance of tic marks.
<dl>
<dt><code>"on"</code><dd>Turn tic marks and labels on for all axes.
<br><dt><code>"off"</code><dd>Turn tic marks off for all axes.
<br><dt><code>"tic[xyz]"</code><dd>Turn tic marks on for all axes, or turn them on for the
specified axes and off for the remainder.
<br><dt><code>"label[xyz]"</code><dd>Turn tic labels on for all axes, or turn them on for the
specified axes and off for the remainder.
<br><dt><code>"nolabel"</code><dd>Turn tic labels off for all axes.
</dl>
Note, if there are no tic marks for an axis, there can be no labels.
<p class="noindent">The following options affect the direction of increasing values on
the axes.
<dl>
<dt><code>"ij"</code><dd>Reverse y-axis, so lower values are nearer the top.
<br><dt><code>"xy"</code><dd>Restore y-axis, so higher values are nearer the top.
</dl>
<p>If an axes handle is passed as the first argument, then operate on
this axes rather than the current axes.
</p></blockquote></div>
<p>Similarly the axis limits of the colormap can be changed with the caxis
function.
<!-- ./plot/caxis.m -->
<p><a name="doc_002dcaxis"></a>
<div class="defun">
— Function File: <b>caxis</b> (<var>limits</var>)<var><a name="index-caxis-946"></a></var><br>
— Function File: <b>caxis</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-caxis-947"></a></var><br>
<blockquote><p>Set color axis limits for plots.
<p>The argument <var>limits</var> should be a 2 element vector specifying the
lower and upper limits to assign to the first and last value in the
colormap. Values outside this range are clamped to the first and last
colormap entries.
<p>If <var>limits</var> is 'auto', then automatic colormap scaling is applied,
whereas if <var>limits</var> is 'manual' the colormap scaling is set to manual.
<p>Called without any arguments to current color axis limits are returned.
<p>If an axes handle is passed as the first argument, then operate on
this axes rather than the current axes.
</p></blockquote></div>
<p>The <code>xlim</code>, <code>ylim</code>, and <code>zlim</code> functions may be used to
get or set individual axis limits. Each has the same form.
<p><a name="doc_002dylim"></a><a name="doc_002dzlim"></a><!-- ./plot/xlim.m -->
<a name="doc_002dxlim"></a>
<div class="defun">
— Function File: <var>xl</var> = <b>xlim</b> ()<var><a name="index-xlim-948"></a></var><br>
— Function File: <b>xlim</b> (<var>xl</var>)<var><a name="index-xlim-949"></a></var><br>
— Function File: <var>m</var> = <b>xlim</b> (<var>'mode'</var>)<var><a name="index-xlim-950"></a></var><br>
— Function File: <b>xlim</b> (<var>m</var>)<var><a name="index-xlim-951"></a></var><br>
— Function File: <b>xlim</b> (<var>h, <small class="dots">...</small></var>)<var><a name="index-xlim-952"></a></var><br>
<blockquote><p>Get or set the limits of the x-axis of the current plot. Called without
arguments <code>xlim</code> returns the x-axis limits of the current plot.
If passed a two element vector <var>xl</var>, the limits of the x-axis are set
to this value.
<p>The current mode for calculation of the x-axis can be returned with a
call <code>xlim ('mode')</code>, and can be either 'auto' or 'manual'. The
current plotting mode can be set by passing either 'auto' or 'manual'
as the argument.
<p>If passed an handle as the first argument, then operate on this handle
rather than the current axes handle.
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<p class="noindent"><strong>See also:</strong> <a href="doc_002dylim.html#doc_002dylim">ylim</a>, <a href="doc_002dzlim.html#doc_002dzlim">zlim</a>, <a href="doc_002dset.html#doc_002dset">set</a>, <a href="doc_002dget.html#doc_002dget">get</a>, <a href="doc_002dgca.html#doc_002dgca">gca</a>.
</p></blockquote></div>
<ul class="menu">
<li><a accesskey="1" href="Two_002ddimensional-Function-Plotting.html#Two_002ddimensional-Function-Plotting">Two-dimensional Function Plotting</a>
</ul>
</body></html>
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