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Next: <a href="Three_002dDimensional-Plots.html" accesskey="n" rel="next">Three-Dimensional Plots</a>, Up: <a href="High_002dLevel-Plotting.html" accesskey="u" rel="up">High-Level Plotting</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
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<h4 class="subsection" id="Two_002dDimensional-Plots-1"><span>15.2.1 Two-Dimensional Plots<a class="copiable-link" href="#Two_002dDimensional-Plots-1"> ¶</a></span></h4>
<p>The <code class="code">plot</code> function allows you to create simple x-y plots with
linear axes. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">x = -10:0.1:10;
plot (x, sin (x));
xlabel ("x");
ylabel ("sin (x)");
title ("Simple 2-D Plot");
</pre></div></div>
<p>displays a sine wave shown in <a class="ref" href="#fig_003aplot">Figure 15.1</a>. On most systems, this
command will open a separate plot window to display the graph.
</p>
<div class="float" id="fig_003aplot">
<div class="center"><img class="image" src="plot.png" alt="plot">
</div><div class="caption"><p><strong class="strong">Figure 15.1: </strong>Simple Two-Dimensional Plot.</p></div></div>
<a class="anchor" id="XREFplot"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-plot"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-plot"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-1"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-plot-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-2"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-plot-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-3"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(…, <var class="var">property</var>, <var class="var">value</var>, …)</code><a class="copiable-link" href="#index-plot-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-4"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, …, <var class="var">xn</var>, <var class="var">yn</var>)</code><a class="copiable-link" href="#index-plot-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-5"><span><strong class="def-name">plot</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-plot-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plot-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">plot</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-plot-6"> ¶</a></span></dt>
<dd><p>Produce 2-D plots.
</p>
<p>Many different combinations of arguments are possible. The simplest
form is
</p>
<div class="example">
<pre class="example-preformatted">plot (<var class="var">y</var>)
</pre></div>
<p>where the argument is taken as the set of <var class="var">y</var> coordinates and the
<var class="var">x</var> coordinates are taken to be the range <code class="code">1:numel (<var class="var">y</var>)</code>.
</p>
<p>If more than one argument is given, they are interpreted as
</p>
<div class="example">
<pre class="example-preformatted">plot (<var class="var">y</var>, <var class="var">property</var>, <var class="var">value</var>, ...)
</pre></div>
<p>or
</p>
<div class="example">
<pre class="example-preformatted">plot (<var class="var">x</var>, <var class="var">y</var>, <var class="var">property</var>, <var class="var">value</var>, ...)
</pre></div>
<p>or
</p>
<div class="example">
<pre class="example-preformatted">plot (<var class="var">x</var>, <var class="var">y</var>, <var class="var">fmt</var>, ...)
</pre></div>
<p>and so on. Any number of argument sets may appear. The <var class="var">x</var> and
<var class="var">y</var> values are interpreted as follows:
</p>
<ul class="itemize mark-bullet">
<li>If a single data argument is supplied, it is taken as the set of <var class="var">y</var>
coordinates and the <var class="var">x</var> coordinates are taken to be the indices of
the elements, starting with 1.
</li><li>If <var class="var">x</var> and <var class="var">y</var> are scalars, a single point is plotted.
</li><li><code class="code">squeeze()</code> is applied to arguments with more than two dimensions,
but no more than two singleton dimensions.
</li><li>If either <var class="var">x</var> or <var class="var">y</var> is a scalar and the other is a vector, a
series of points are plotted at the coordinates defined by the scalar and
each element of the vector.
</li><li>If both arguments are vectors, the elements of <var class="var">y</var> are plotted versus
the elements of <var class="var">x</var>.
</li><li>If <var class="var">x</var> is a vector and <var class="var">y</var> is a matrix, then
the columns (or rows) of <var class="var">y</var> are plotted versus <var class="var">x</var>.
(using whichever combination matches, with columns tried first.)
</li><li>If the <var class="var">x</var> is a matrix and <var class="var">y</var> is a vector,
<var class="var">y</var> is plotted versus the columns (or rows) of <var class="var">x</var>.
(using whichever combination matches, with columns tried first.)
</li><li>If both arguments are matrices, the columns of <var class="var">y</var> are plotted
versus the columns of <var class="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.
</li></ul>
<p>Multiple property-value pairs may be specified, but they must appear
in pairs. These arguments are applied to the line objects drawn by
<code class="code">plot</code>. Useful properties to modify are <code class="code">"linestyle"</code>,
<code class="code">"linewidth"</code>, <code class="code">"color"</code>, <code class="code">"marker"</code>,
<code class="code">"markersize"</code>, <code class="code">"markeredgecolor"</code>, <code class="code">"markerfacecolor"</code>.
The full list of properties is documented at
<a class="ref" href="Line-Properties.html">Line Properties</a>.
</p>
<p>The <var class="var">fmt</var> format argument can also be used to control the plot style.
It is a string composed of four optional parts:
"<linestyle><marker><color><;displayname;>".
When a marker is specified, but no linestyle, only the markers are
plotted. Similarly, if a linestyle is specified, but no marker, then
only lines are drawn. If both are specified then lines and markers will
be plotted. If no <var class="var">fmt</var> and no <var class="var">property</var>/<var class="var">value</var> pairs are
given, then the default plot style is solid lines with no markers and the
color determined by the <code class="code">"colororder"</code> property of the current axes.
</p>
<p>Format arguments:
</p>
<dl class="table">
<dt>linestyle</dt>
<dd>
<table class="multitable">
<tbody><tr><td width="6%">‘<samp class="samp">-</samp>’</td><td width="94%">Use solid lines (default).</td></tr>
<tr><td width="6%">‘<samp class="samp">--</samp>’</td><td width="94%">Use dashed lines.</td></tr>
<tr><td width="6%">‘<samp class="samp">:</samp>’</td><td width="94%">Use dotted lines.</td></tr>
<tr><td width="6%">‘<samp class="samp">-.</samp>’</td><td width="94%">Use dash-dotted lines.</td></tr>
</tbody>
</table>
</dd>
<dt>marker</dt>
<dd>
<table class="multitable">
<tbody><tr><td width="6%">‘<samp class="samp">+</samp>’</td><td width="94%">crosshair</td></tr>
<tr><td width="6%">‘<samp class="samp">o</samp>’</td><td width="94%">circle</td></tr>
<tr><td width="6%">‘<samp class="samp">*</samp>’</td><td width="94%">star</td></tr>
<tr><td width="6%">‘<samp class="samp">.</samp>’</td><td width="94%">point</td></tr>
<tr><td width="6%">‘<samp class="samp">x</samp>’</td><td width="94%">cross</td></tr>
<tr><td width="6%">‘<samp class="samp">|</samp>’</td><td width="94%">vertical line</td></tr>
<tr><td width="6%">‘<samp class="samp">_</samp>’</td><td width="94%">horizontal line</td></tr>
<tr><td width="6%">‘<samp class="samp">s</samp>’</td><td width="94%">square</td></tr>
<tr><td width="6%">‘<samp class="samp">d</samp>’</td><td width="94%">diamond</td></tr>
<tr><td width="6%">‘<samp class="samp">^</samp>’</td><td width="94%">upward-facing triangle</td></tr>
<tr><td width="6%">‘<samp class="samp">v</samp>’</td><td width="94%">downward-facing triangle</td></tr>
<tr><td width="6%">‘<samp class="samp">></samp>’</td><td width="94%">right-facing triangle</td></tr>
<tr><td width="6%">‘<samp class="samp"><</samp>’</td><td width="94%">left-facing triangle</td></tr>
<tr><td width="6%">‘<samp class="samp">p</samp>’</td><td width="94%">pentagram</td></tr>
<tr><td width="6%">‘<samp class="samp">h</samp>’</td><td width="94%">hexagram</td></tr>
</tbody>
</table>
</dd>
<dt>color</dt>
<dd>
<table class="multitable">
<tbody><tr><td width="21%">‘<samp class="samp">k</samp>’, <code class="code">"black"</code></td><td width="79%">blacK</td></tr>
<tr><td width="21%">‘<samp class="samp">r</samp>’, <code class="code">"red"</code></td><td width="79%">Red</td></tr>
<tr><td width="21%">‘<samp class="samp">g</samp>’, <code class="code">"green"</code></td><td width="79%">Green</td></tr>
<tr><td width="21%">‘<samp class="samp">b</samp>’, <code class="code">"blue"</code></td><td width="79%">Blue</td></tr>
<tr><td width="21%">‘<samp class="samp">y</samp>’, <code class="code">"yellow"</code></td><td width="79%">Yellow</td></tr>
<tr><td width="21%">‘<samp class="samp">m</samp>’, <code class="code">"magenta"</code></td><td width="79%">Magenta</td></tr>
<tr><td width="21%">‘<samp class="samp">c</samp>’, <code class="code">"cyan"</code></td><td width="79%">Cyan</td></tr>
<tr><td width="21%">‘<samp class="samp">w</samp>’, <code class="code">"white"</code></td><td width="79%">White</td></tr>
</tbody>
</table>
</dd>
<dt><code class="code">";displayname;"</code></dt>
<dd><p>The text between semicolons is used to set the <code class="code">"displayname"</code>
property which determines the label used for the plot legend.
</p>
</dd>
</dl>
<p>The <var class="var">fmt</var> argument may also be used to assign legend labels.
To do so, include the desired label between semicolons after the
formatting sequence described above, e.g., <code class="code">"+b;Data Series 3;"</code>.
Note that the last semicolon is required and Octave will generate
an error if it is left out.
</p>
<p>Here are some plot examples:
</p>
<div class="example">
<pre class="example-preformatted">plot (x, y, "or", x, y2, x, y3, "m", x, y4, "+")
</pre></div>
<p>This command will plot <code class="code">y</code> with red circles, <code class="code">y2</code> with solid
lines, <code class="code">y3</code> with solid magenta lines, and <code class="code">y4</code> with points
displayed as ‘<samp class="samp">+</samp>’.
</p>
<div class="example">
<pre class="example-preformatted">plot (b, "*", "markersize", 10)
</pre></div>
<p>This command will plot the data in the variable <code class="code">b</code>,
with points displayed as ‘<samp class="samp">*</samp>’ and a marker size of 10.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">t = 0:0.1:6.3;
plot (t, cos(t), "-;cos(t);", t, sin(t), "-b;sin(t);");
</pre></div></div>
<p>This will plot the cosine and sine functions and label them accordingly
in the legend.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to
the created line objects.
</p>
<p>To save a plot, in one of several image formats such as PostScript
or PNG, use the <code class="code">print</code> command.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Axis-Configuration.html#XREFaxis">axis</a>, <a class="ref" href="Plot-Annotations.html#XREFbox">box</a>, <a class="ref" href="Plot-Annotations.html#XREFgrid">grid</a>, <a class="ref" href="Manipulation-of-Plot-Windows.html#XREFhold">hold</a>, <a class="ref" href="Plot-Annotations.html#XREFlegend">legend</a>, <a class="ref" href="Plot-Annotations.html#XREFtitle">title</a>, <a class="ref" href="Plot-Annotations.html#XREFxlabel">xlabel</a>, <a class="ref" href="Plot-Annotations.html#XREFylabel">ylabel</a>, <a class="ref" href="Axis-Configuration.html#XREFxlim">xlim</a>, <a class="ref" href="Axis-Configuration.html#XREFylim">ylim</a>, <a class="ref" href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a class="ref" href="#XREFerrorbar">errorbar</a>, <a class="ref" href="Two_002ddimensional-Function-Plotting.html#XREFfplot">fplot</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFline">line</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFplot3">plot3</a>, <a class="ref" href="#XREFpolar">polar</a>, <a class="ref" href="#XREFloglog">loglog</a>, <a class="ref" href="#XREFsemilogx">semilogx</a>, <a class="ref" href="#XREFsemilogy">semilogy</a>, <a class="ref" href="Multiple-Plots-on-One-Page.html#XREFsubplot">subplot</a>.
</p></dd></dl>
<p>The <code class="code">plotyy</code> function may be used to create a plot with two
independent y axes.
</p>
<a class="anchor" id="XREFplotyy"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-plotyy"><span><strong class="def-name">plotyy</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, <var class="var">x2</var>, <var class="var">y2</var>)</code><a class="copiable-link" href="#index-plotyy"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotyy-1"><span><strong class="def-name">plotyy</strong> <code class="def-code-arguments">(…, <var class="var">fcn</var>)</code><a class="copiable-link" href="#index-plotyy-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotyy-2"><span><strong class="def-name">plotyy</strong> <code class="def-code-arguments">(…, <var class="var">fun1</var>, <var class="var">fun2</var>)</code><a class="copiable-link" href="#index-plotyy-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotyy-3"><span><strong class="def-name">plotyy</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-plotyy-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotyy-4"><span><code class="def-type">[<var class="var">ax</var>, <var class="var">h1</var>, <var class="var">h2</var>] =</code> <strong class="def-name">plotyy</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-plotyy-4"> ¶</a></span></dt>
<dd><p>Plot two sets of data with independent y-axes and a common x-axis.
</p>
<p>The arguments <var class="var">x1</var> and <var class="var">y1</var> define the arguments for the first plot
and <var class="var">x1</var> and <var class="var">y2</var> for the second.
</p>
<p>By default the arguments are evaluated with
<code class="code">feval (@plot, <var class="var">x</var>, <var class="var">y</var>)</code>. However the type of plot can be
modified with the <var class="var">fcn</var> argument, in which case the plots are
generated by <code class="code">feval (<var class="var">fcn</var>, <var class="var">x</var>, <var class="var">y</var>)</code>. <var class="var">fcn</var> can be
a function handle, an inline function, or a string of a function name.
</p>
<p>The function to use for each of the plots can be independently defined
with <var class="var">fun1</var> and <var class="var">fun2</var>.
</p>
<p>The first argument <var class="var">hax</var> can be an axes handle to the principal axes in
which to plot the <var class="var">x1</var> and <var class="var">y1</var> data. It can also be a two-element
vector with the axes handles to the primary and secondary axes (see output
<var class="var">ax</var>).
</p>
<p>The return value <var class="var">ax</var> is a vector with the axes handles of the two
y-axes. <var class="var">h1</var> and <var class="var">h2</var> are handles to the objects generated by the
plot commands.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">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></div></div>
<p>When using <code class="code">plotyy</code> in conjunction with <code class="code">subplot</code> make sure to
call <code class="code">subplot</code> first and pass the resulting axes handle to
<code class="code">plotyy</code>. Do not call <code class="code">subplot</code> with any of the axes handles
returned by <code class="code">plotyy</code> or the other axes will be removed.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="Multiple-Plots-on-One-Page.html#XREFsubplot">subplot</a>.
</p></dd></dl>
<p>The functions <code class="code">semilogx</code>, <code class="code">semilogy</code>, and <code class="code">loglog</code> are
similar to the <code class="code">plot</code> function, but produce plots in which one or
both of the axes use log scales.
</p>
<a class="anchor" id="XREFsemilogx"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-semilogx"><span><strong class="def-name">semilogx</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-semilogx"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogx-1"><span><strong class="def-name">semilogx</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-semilogx-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogx-2"><span><strong class="def-name">semilogx</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">property</var>, <var class="var">value</var>, …)</code><a class="copiable-link" href="#index-semilogx-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogx-3"><span><strong class="def-name">semilogx</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogx-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogx-4"><span><strong class="def-name">semilogx</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-semilogx-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogx-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">semilogx</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-semilogx-5"> ¶</a></span></dt>
<dd><p>Produce a 2-D plot using a logarithmic scale for the x-axis.
</p>
<p>See the documentation of <code class="code">plot</code> for a description of the
arguments that <code class="code">semilogx</code> will accept.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created plot.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFsemilogy">semilogy</a>, <a class="ref" href="#XREFloglog">loglog</a>.
</p></dd></dl>
<a class="anchor" id="XREFsemilogy"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-semilogy"><span><strong class="def-name">semilogy</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-semilogy"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogy-1"><span><strong class="def-name">semilogy</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-semilogy-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogy-2"><span><strong class="def-name">semilogy</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">property</var>, <var class="var">value</var>, …)</code><a class="copiable-link" href="#index-semilogy-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogy-3"><span><strong class="def-name">semilogy</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogy-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogy-4"><span><strong class="def-name">semilogy</strong> <code class="def-code-arguments">(<var class="var">h</var>, …)</code><a class="copiable-link" href="#index-semilogy-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogy-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">semilogy</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-semilogy-5"> ¶</a></span></dt>
<dd><p>Produce a 2-D plot using a logarithmic scale for the y-axis.
</p>
<p>See the documentation of <code class="code">plot</code> for a description of the
arguments that <code class="code">semilogy</code> will accept.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created plot.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFsemilogx">semilogx</a>, <a class="ref" href="#XREFloglog">loglog</a>.
</p></dd></dl>
<a class="anchor" id="XREFloglog"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-loglog"><span><strong class="def-name">loglog</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-loglog"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglog-1"><span><strong class="def-name">loglog</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-loglog-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglog-2"><span><strong class="def-name">loglog</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">prop</var>, <var class="var">value</var>, …)</code><a class="copiable-link" href="#index-loglog-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglog-3"><span><strong class="def-name">loglog</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglog-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglog-4"><span><strong class="def-name">loglog</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-loglog-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglog-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">loglog</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-loglog-5"> ¶</a></span></dt>
<dd><p>Produce a 2-D plot using logarithmic scales for both axes.
</p>
<p>See the documentation of <code class="code">plot</code> for a description of the arguments
that <code class="code">loglog</code> will accept.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created plot.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFsemilogx">semilogx</a>, <a class="ref" href="#XREFsemilogy">semilogy</a>.
</p></dd></dl>
<p>The functions <code class="code">bar</code>, <code class="code">barh</code>, <code class="code">stairs</code>, and <code class="code">stem</code>
are useful for displaying discrete data. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">randn ("state", 1);
hist (randn (10000, 1), 30);
xlabel ("Value");
ylabel ("Count");
title ("Histogram of 10,000 normally distributed random numbers");
</pre></div></div>
<p>produces the histogram of 10,000 normally distributed random numbers
shown in <a class="ref" href="#fig_003ahist">Figure 15.2</a>. Note that, <code class="code">randn ("state", 1);</code>, initializes
the random number generator for <code class="code">randn</code> to a known value so that the
returned values are reproducible; This guarantees that the figure produced
is identical to the one in this manual.
</p>
<div class="float" id="fig_003ahist">
<div class="center"><img class="image" src="hist.png" alt="hist">
</div><div class="caption"><p><strong class="strong">Figure 15.2: </strong>Histogram.</p></div></div>
<a class="anchor" id="XREFbar"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-bar"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-bar"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-1"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-bar-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-2"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(…, <var class="var">w</var>)</code><a class="copiable-link" href="#index-bar-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-3"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-bar-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-4"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-bar-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-5"><span><strong class="def-name">bar</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-bar-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-bar-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">bar</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-bar-6"> ¶</a></span></dt>
<dd><p>Produce a bar graph from two vectors of X-Y data.
</p>
<p>If only one argument is given, <var class="var">y</var>, it is taken as a vector of Y values
and the X coordinates are the range <code class="code">1:numel (<var class="var">y</var>)</code>.
</p>
<p>The optional input <var class="var">w</var> controls the width of the bars. A value of
1.0 will cause each bar to exactly touch any adjacent bars.
The default width is 0.8.
</p>
<p>If <var class="var">y</var> is a matrix, then each column of <var class="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 class="var">style</var>
argument which can take the following values:
</p>
<dl class="table">
<dt><code class="code">"grouped"</code> (default)</dt>
<dd><p>Side-by-side bars with a gap between bars and centered over the
X-coordinate.
</p>
</dd>
<dt><code class="code">"stacked"</code></dt>
<dd><p>Bars are stacked so that each X value has a single bar composed of
multiple segments.
</p>
</dd>
<dt><code class="code">"hist"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and centered over the
X-coordinate.
</p>
</dd>
<dt><code class="code">"histc"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and left-aligned to the
X-coordinate.
</p></dd>
</dl>
<p>Optional property/value pairs are passed directly to the underlying patch
objects. The full list of properties is documented at
<a class="ref" href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of handles to the created
"bar series" hggroups with one handle per column of the variable <var class="var">y</var>.
This series makes it possible to change a common element in one bar series
object and have the change reflected in the other "bar series".
For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">h = bar (rand (5, 10));
set (h(1), "basevalue", 0.5);
</pre></div></div>
<p>changes the position on the base of all of the bar series.
</p>
<p>The following example modifies the face and edge colors using
property/value pairs.
</p>
<div class="example">
<pre class="example-preformatted">bar (randn (1, 100), "facecolor", "r", "edgecolor", "b");
</pre></div>
<p>The default color for bars is taken from the axes’ <code class="code">"ColorOrder"</code>
property. The default color for bars when a histogram option
(<code class="code">"hist"</code>, <code class="code">"histc"</code> is used is the <code class="code">"Colormap"</code> property
of either the axes or figure. The color of bars can also be set manually
using the <code class="code">"facecolor"</code> property as shown below.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">h = bar (rand (10, 3));
set (h(1), "facecolor", "r")
set (h(2), "facecolor", "g")
set (h(3), "facecolor", "b")
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFbarh">barh</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFpie">pie</a>, <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFbarh"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-barh"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-barh"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-1"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-barh-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-2"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(…, <var class="var">w</var>)</code><a class="copiable-link" href="#index-barh-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-3"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-barh-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-4"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-barh-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-5"><span><strong class="def-name">barh</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-barh-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-barh-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">barh</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-barh-6"> ¶</a></span></dt>
<dd><p>Produce a horizontal bar graph from two vectors of X-Y data.
</p>
<p>If only one argument is given, it is taken as a vector of Y values
and the X coordinates are the range <code class="code">1:numel (<var class="var">y</var>)</code>.
</p>
<p>The optional input <var class="var">w</var> controls the width of the bars. A value of
1.0 will cause each bar to exactly touch any adjacent bars.
The default width is 0.8.
</p>
<p>If <var class="var">y</var> is a matrix, then each column of <var class="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 class="var">style</var>
argument which can take the following values:
</p>
<dl class="table">
<dt><code class="code">"grouped"</code> (default)</dt>
<dd><p>Side-by-side bars with a gap between bars and centered over the
Y-coordinate.
</p>
</dd>
<dt><code class="code">"stacked"</code></dt>
<dd><p>Bars are stacked so that each Y value has a single bar composed of
multiple segments.
</p>
</dd>
<dt><code class="code">"hist"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and centered over the
Y-coordinate.
</p>
</dd>
<dt><code class="code">"histc"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and left-aligned to the
Y-coordinate.
</p></dd>
</dl>
<p>Optional property/value pairs are passed directly to the underlying patch
objects. The full list of properties is documented at
<a class="ref" href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
bar series hggroup. For a description of the use of the
bar series, see <a class="pxref" href="#XREFbar"><code class="code">bar</code></a>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFpie">pie</a>, <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFhist"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-hist"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-hist"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-1"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">nbins</var>)</code><a class="copiable-link" href="#index-hist-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-2"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">x</var>)</code><a class="copiable-link" href="#index-hist-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-3"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">x</var>, <var class="var">norm</var>)</code><a class="copiable-link" href="#index-hist-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-4"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-hist-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-5"><span><strong class="def-name">hist</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-hist-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-hist-6"><span><code class="def-type">[<var class="var">nn</var>, <var class="var">xx</var>] =</code> <strong class="def-name">hist</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-hist-6"> ¶</a></span></dt>
<dd><p>Produce histogram counts or plots.
</p>
<p>With one vector input argument, <var class="var">y</var>, plot a histogram of the values
with 10 bins. The range of the histogram bins is determined by the
range of the data (difference between maximum and minimum value in <var class="var">y</var>).
Extreme values are lumped into the first and last bins. If <var class="var">y</var> is a
matrix then plot a histogram where each bin contains one bar per input
column of <var class="var">y</var>.
</p>
<p>If the optional second argument is a scalar, <var class="var">nbins</var>, it defines the
number of bins.
</p>
<p>If the optional second argument is a vector, <var class="var">x</var>, it defines the centers
of the bins. The width of the bins is determined from the adjacent values
in the vector. The total number of bins is <code class="code">numel (<var class="var">x</var>)</code>.
</p>
<p>If a third argument <var class="var">norm</var> is provided, the histogram is normalized.
In case <var class="var">norm</var> is a positive scalar, the resulting bars are normalized
to <var class="var">norm</var>. If <var class="var">norm</var> is a vector of positive scalars of length
<code class="code">columns (<var class="var">y</var>)</code>, then the resulting bar of <code class="code"><var class="var">y</var>(:,i)</code> is
normalized to <code class="code"><var class="var">norm</var>(i)</code>.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[nn, xx] = hist (rand (10, 3), 5, [1 2 3]);
sum (nn, 1)
⇒ ans =
1 2 3
</pre></div></div>
<p>The histogram’s appearance may be modified by specifying property/value
pairs to the underlying patch object. For example, the face and edge color
may be modified:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">hist (randn (1, 100), 25, "facecolor", "r", "edgecolor", "b");
</pre></div></div>
<p>The full list of patch properties is documented at <a class="ref" href="Patch-Properties.html">Patch Properties</a>.
property. If not specified, the default colors for the histogram are taken
from the <code class="code">"Colormap"</code> property of the axes or figure.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>If an output is requested then no plot is made. Instead, return the values
<var class="var">nn</var> (numbers of elements) and <var class="var">xx</var> (bin centers) such that
<code class="code">bar (<var class="var">xx</var>, <var class="var">nn</var>)</code> will plot the histogram. If <var class="var">y</var> is a
vector, <var class="var">nn</var> and <var class="var">xx</var> will be row vectors. If <var class="var">y</var> is an array,
<var class="var">nn</var> will be a 2-D array with one column of element counts for each
column in <var class="var">y</var>, and <var class="var">xx</var> will be a column vector of bin centers.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Basic-Statistical-Functions.html#XREFhistc">histc</a>, <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFpie">pie</a>, <a class="ref" href="#XREFrose">rose</a>.
</p></dd></dl>
<a class="anchor" id="XREFstemleaf"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stemleaf"><span><strong class="def-name">stemleaf</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">caption</var>)</code><a class="copiable-link" href="#index-stemleaf"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stemleaf-1"><span><strong class="def-name">stemleaf</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">caption</var>, <var class="var">stem_sz</var>)</code><a class="copiable-link" href="#index-stemleaf-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stemleaf-2"><span><code class="def-type"><var class="var">plotstr</var> =</code> <strong class="def-name">stemleaf</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-stemleaf-2"> ¶</a></span></dt>
<dd><p>Compute and display a stem and leaf plot of the vector <var class="var">x</var>.
</p>
<p>The input <var class="var">x</var> should be a vector of integers. Any non-integer values
will be converted to integer by <code class="code"><var class="var">x</var> = fix (<var class="var">x</var>)</code>. By default
each element of <var class="var">x</var> will be plotted with the last digit of the element
as a leaf value and the remaining digits as the stem. For example, 123
will be plotted with the stem ‘<samp class="samp">12</samp>’ and the leaf ‘<samp class="samp">3</samp>’. The second
argument, <var class="var">caption</var>, should be a character array which provides a
description of the data. It is included as a heading for the output.
</p>
<p>The optional input <var class="var">stem_sz</var> sets the width of each stem.
The stem width is determined by <code class="code">10^(<var class="var">stem_sz</var> + 1)</code>.
The default stem width is 10.
</p>
<p>The output of <code class="code">stemleaf</code> is composed of two parts: a
"Fenced Letter Display", followed by the stem-and-leaf plot itself.
The Fenced Letter Display is described in <cite class="cite">Exploratory Data Analysis</cite>.
Briefly, the entries are as shown:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">
Fenced Letter Display
#% nx|___________________ nx = numel (x)
M% mi| md | mi median index, md median
H% hi|hl hu| hs hi lower hinge index, hl,hu hinges,
1 |x(1) x(nx)| hs h_spreadx(1), x(nx) first
_______ and last data value.
______|step |_______ step 1.5*h_spread
f|ifl ifh| inner fence, lower and higher
|nfl nfh| no.\ of data points within fences
F|ofl ofh| outer fence, lower and higher
|nFl nFh| no.\ of data points outside outer
fences
</pre></div></div>
<p>The stem-and-leaf plot shows on each line the stem value followed by the
string made up of the leaf digits. If the <var class="var">stem_sz</var> is not 1 the
successive leaf values are separated by ",".
</p>
<p>With no return argument, the plot is immediately displayed. If an output
argument is provided, the plot is returned as an array of strings.
</p>
<p>The leaf digits are not sorted. If sorted leaf values are desired, use
<code class="code"><var class="var">xs</var> = sort (<var class="var">x</var>)</code> before calling <code class="code">stemleaf (<var class="var">xs</var>)</code>.
</p>
<p>The stem and leaf plot and associated displays are described in:
Chapter 3, <cite class="cite">Exploratory Data Analysis</cite> by J. W. Tukey,
Addison-Wesley, 1977.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFprintd">printd</a>.
</p></dd></dl>
<a class="anchor" id="XREFprintd"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-printd"><span><strong class="def-name">printd</strong> <code class="def-code-arguments">(<var class="var">obj</var>, <var class="var">filename</var>)</code><a class="copiable-link" href="#index-printd"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-printd-1"><span><code class="def-type"><var class="var">out_file</var> =</code> <strong class="def-name">printd</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-printd-1"> ¶</a></span></dt>
<dd>
<p>Convert any object acceptable to <code class="code">disp</code> into the format selected by
the suffix of <var class="var">filename</var>.
</p>
<p>If the optional output <var class="var">out_file</var> is requested, the name of the created
file is returned.
</p>
<p>This function is intended to facilitate manipulation of the output of
functions such as <code class="code">stemleaf</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstemleaf">stemleaf</a>.
</p></dd></dl>
<a class="anchor" id="XREFstairs"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stairs"><span><strong class="def-name">stairs</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-stairs"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-1"><span><strong class="def-name">stairs</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-stairs-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-2"><span><strong class="def-name">stairs</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-stairs-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-3"><span><strong class="def-name">stairs</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-stairs-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-4"><span><strong class="def-name">stairs</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-stairs-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">stairs</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-stairs-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stairs-6"><span><code class="def-type">[<var class="var">xstep</var>, <var class="var">ystep</var>] =</code> <strong class="def-name">stairs</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-stairs-6"> ¶</a></span></dt>
<dd><p>Produce a stairstep plot.
</p>
<p>The arguments <var class="var">x</var> and <var class="var">y</var> may be vectors or matrices.
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
(<code class="code"><var class="var">x</var> = 1:numel (<var class="var">y</var>)</code>).
</p>
<p>The style to use for the plot can be defined with a line style <var class="var">style</var>
of the same format as the <code class="code">plot</code> command.
</p>
<p>Multiple property/value pairs may be specified, but they must appear in
pairs. The full list of properties is documented at
<a class="ref" href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>If one output argument is requested, return a graphics handle to the
created plot. If two output arguments are specified, the data are generated
but not plotted. For example,
</p>
<div class="example">
<pre class="example-preformatted">stairs (x, y);
</pre></div>
<p>and
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[xs, ys] = stairs (x, y);
plot (xs, ys);
</pre></div></div>
<p>are equivalent.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFstem">stem</a>.
</p></dd></dl>
<a class="anchor" id="XREFstem"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stem"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-stem"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-1"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-stem-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-2"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(…, <var class="var">linespec</var>)</code><a class="copiable-link" href="#index-stem-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-3"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-stem-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-4"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-stem-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-5"><span><strong class="def-name">stem</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-stem-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">stem</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-stem-6"> ¶</a></span></dt>
<dd><p>Plot a 2-D stem graph.
</p>
<p>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>
<p>If <var class="var">y</var> is a matrix, then each column of the matrix is plotted as
a separate stem graph. In this case <var class="var">x</var> can either be a vector,
the same length as the number of rows in <var class="var">y</var>, or it can be a
matrix of the same size as <var class="var">y</var>.
</p>
<p>The default color is <code class="code">"b"</code> (blue), the default line style is
<code class="code">"-"</code>, and the default marker is <code class="code">"o"</code>. The line style can
be altered by the <var class="var">linespec</var> argument in the same manner as the
<code class="code">plot</code> command. If the <code class="code">"filled"</code> argument is present the
markers at the top of the stems will be filled in. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">x = 1:10;
y = 2*x;
stem (x, y, "r");
</pre></div></div>
<p>plots 10 stems with heights from 2 to 20 in red;
</p>
<p>Optional property/value pairs may be specified to control the appearance
of the plot. The full list of properties is documented at
<a class="ref" href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a handle to a "stem series"
hggroup. The single hggroup handle has all of the graphical elements
comprising the plot as its children; This allows the properties of
multiple graphics objects to be changed by modifying just a single
property of the "stem series" hggroup.
</p>
<p>For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">x = [0:10]';
y = [sin(x), cos(x)]
h = stem (x, y);
set (h(2), "color", "g");
set (h(1), "basevalue", -1)
</pre></div></div>
<p>changes the color of the second "stem series" and moves the base
line of the first.
</p>
<p>Stem Series Properties
</p>
<dl class="table">
<dt>linestyle</dt>
<dd><p>The linestyle of the stem. (Default: <code class="code">"-"</code>)
</p>
</dd>
<dt>linewidth</dt>
<dd><p>The width of the stem. (Default: 0.5)
</p>
</dd>
<dt>color</dt>
<dd><p>The color of the stem, and if not separately specified, the marker.
(Default: <code class="code">"b"</code> [blue])
</p>
</dd>
<dt>marker</dt>
<dd><p>The marker symbol to use at the top of each stem. (Default: <code class="code">"o"</code>)
</p>
</dd>
<dt>markeredgecolor</dt>
<dd><p>The edge color of the marker. (Default: <code class="code">"color"</code> property)
</p>
</dd>
<dt>markerfacecolor</dt>
<dd><p>The color to use for "filling" the marker.
(Default: <code class="code">"none"</code> [unfilled])
</p>
</dd>
<dt>markersize</dt>
<dd><p>The size of the marker. (Default: 6)
</p>
</dd>
<dt>baseline</dt>
<dd><p>The handle of the line object which implements the baseline. Use <code class="code">set</code>
with the returned handle to change graphic properties of the baseline.
</p>
</dd>
<dt>basevalue</dt>
<dd><p>The y-value where the baseline is drawn. (Default: 0)
</p></dd>
</dl>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstem3">stem3</a>, <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFstairs">stairs</a>.
</p></dd></dl>
<a class="anchor" id="XREFstem3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stem3"><span><strong class="def-name">stem3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-stem3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem3-1"><span><strong class="def-name">stem3</strong> <code class="def-code-arguments">(…, <var class="var">linespec</var>)</code><a class="copiable-link" href="#index-stem3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem3-2"><span><strong class="def-name">stem3</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-stem3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem3-3"><span><strong class="def-name">stem3</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-stem3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem3-4"><span><strong class="def-name">stem3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-stem3-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stem3-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">stem3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-stem3-5"> ¶</a></span></dt>
<dd><p>Plot a 3-D stem graph.
</p>
<p>Stems are drawn from the height <var class="var">z</var> to the location in the x-y plane
determined by <var class="var">x</var> and <var class="var">y</var>. The default color is <code class="code">"b"</code> (blue),
the default line style is <code class="code">"-"</code>, and the default marker is
<code class="code">"o"</code>.
</p>
<p>The line style can be altered by the <var class="var">linespec</var> argument in the same
manner as the <code class="code">plot</code> command. If the <code class="code">"filled"</code> argument is
present the markers at the top of the stems will be filled in.
</p>
<p>Optional property/value pairs may be specified to control the appearance
of the plot. The full list of properties is documented at
<a class="ref" href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a handle to the "stem series"
hggroup containing the line and marker objects used for the plot.
See <a class="xref" href="#XREFstem"><code class="code">stem</code></a>, for a description of the
"stem series" object.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">theta = 0:0.2:6;
stem3 (cos (theta), sin (theta), theta);
</pre></div></div>
<p>plots 31 stems with heights from 0 to 6 lying on a circle.
</p>
<p>Implementation Note: Color definitions with RGB-triples are not valid.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstem">stem</a>, <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFscatter"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-scatter"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-scatter"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-1"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">s</var>)</code><a class="copiable-link" href="#index-scatter-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-2"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">s</var>, <var class="var">c</var>)</code><a class="copiable-link" href="#index-scatter-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-3"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-scatter-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-4"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-scatter-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-5"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-scatter-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-6"><span><strong class="def-name">scatter</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-scatter-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-scatter-7"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">scatter</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-scatter-7"> ¶</a></span></dt>
<dd><p>Draw a 2-D scatter plot.
</p>
<p>A marker is plotted at each point defined by the coordinates in the vectors
<var class="var">x</var> and <var class="var">y</var>.
</p>
<p>The size of the markers is determined by <var class="var">s</var>, which can be a scalar
or a vector of the same length as <var class="var">x</var> and <var class="var">y</var>. If <var class="var">s</var>
is not given, or is an empty matrix, then a default value of 36 square
points is used (The marker size itself is <code class="code">sqrt (s)</code>).
</p>
<p>The color of the markers is determined by <var class="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 class="var">x</var> that gives
a scaled index into the current colormap; or an Nx3 matrix
defining the RGB color of each marker individually.
</p>
<p>The marker to use can be changed with the <var class="var">style</var> argument; it is a
string defining a marker in the same manner as the <code class="code">plot</code> command.
If no marker is specified it defaults to <code class="code">"o"</code> or circles.
If the argument <code class="code">"filled"</code> is given then the markers are filled.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
scatter object.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">x = randn (100, 1);
y = randn (100, 1);
scatter (x, y, [], sqrt (x.^2 + y.^2));
</pre></div></div>
<p>Programming Note: The full list of properties is documented at
<a class="ref" href="Scatter-Properties.html">Scatter Properties</a>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Three_002dDimensional-Plots.html#XREFscatter3">scatter3</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFplotmatrix"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-plotmatrix"><span><strong class="def-name">plotmatrix</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-plotmatrix"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotmatrix-1"><span><strong class="def-name">plotmatrix</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-plotmatrix-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotmatrix-2"><span><strong class="def-name">plotmatrix</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-plotmatrix-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotmatrix-3"><span><strong class="def-name">plotmatrix</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-plotmatrix-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-plotmatrix-4"><span><code class="def-type">[<var class="var">h</var>, <var class="var">ax</var>, <var class="var">bigax</var>, <var class="var">p</var>, <var class="var">pax</var>] =</code> <strong class="def-name">plotmatrix</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-plotmatrix-4"> ¶</a></span></dt>
<dd><p>Scatter plot of the columns of one matrix against another.
</p>
<p>Given the arguments <var class="var">x</var> and <var class="var">y</var> that have a matching number of
rows, <code class="code">plotmatrix</code> plots a set of axes corresponding to
</p>
<div class="example">
<pre class="example-preformatted">plot (<var class="var">x</var>(:, i), <var class="var">y</var>(:, j))
</pre></div>
<p>When called with a single argument <var class="var">x</var> this is equivalent to
</p>
<div class="example">
<pre class="example-preformatted">plotmatrix (<var class="var">x</var>, <var class="var">x</var>)
</pre></div>
<p>except that the diagonal of the set of axes will be replaced with the
histogram <code class="code">hist (<var class="var">x</var>(:, i))</code>.
</p>
<p>The marker to use can be changed with the <var class="var">style</var> argument, that is a
string defining a marker in the same manner as the <code class="code">plot</code> command.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> provides handles to the individual
graphics objects in the scatter plots, whereas <var class="var">ax</var> returns the
handles to the scatter plot axes objects.
</p>
<p><var class="var">bigax</var> is a hidden axes object that surrounds the other axes, such
that the commands <code class="code">xlabel</code>, <code class="code">title</code>, etc., will be associated
with this hidden axes.
</p>
<p>Finally, <var class="var">p</var> returns the graphics objects associated with the histogram
and <var class="var">pax</var> the corresponding axes objects.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example-preformatted">plotmatrix (randn (100, 3), "g+")
</pre></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFscatter">scatter</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFpareto"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-pareto"><span><strong class="def-name">pareto</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-pareto"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pareto-1"><span><strong class="def-name">pareto</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">x</var>)</code><a class="copiable-link" href="#index-pareto-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pareto-2"><span><strong class="def-name">pareto</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-pareto-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pareto-3"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">pareto</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-pareto-3"> ¶</a></span></dt>
<dd><p>Draw a Pareto chart.
</p>
<p>A Pareto chart is a bar graph that arranges 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 magnitude from left to right along the x-axis.
</p>
<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. For quality improvement, the first few contributing causes
(leftmost bars as presented on the diagram) 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>
<p>Typically only the magnitude data <var class="var">y</var> is present in which case
<var class="var">x</var> is taken to be the range <code class="code">1 : length (<var class="var">y</var>)</code>. If <var class="var">x</var>
is given it may be a string array, a cell array of strings, or a numerical
vector.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a 2-element vector with a graphics
handle for the created bar plot and a second handle for the created line
plot.
</p>
<p>An example of the use of <code class="code">pareto</code> is
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">Cheese = {"Cheddar", "Swiss", "Camembert", ...
"Munster", "Stilton", "Blue"};
Sold = [105, 30, 70, 10, 15, 20];
pareto (Sold, Cheese);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFbarh">barh</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFpie">pie</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFrose"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-rose"><span><strong class="def-name">rose</strong> <code class="def-code-arguments">(<var class="var">theta</var>)</code><a class="copiable-link" href="#index-rose"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-rose-1"><span><strong class="def-name">rose</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">nbins</var>)</code><a class="copiable-link" href="#index-rose-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-rose-2"><span><strong class="def-name">rose</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">bins</var>)</code><a class="copiable-link" href="#index-rose-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-rose-3"><span><strong class="def-name">rose</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-rose-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-rose-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">rose</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-rose-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-rose-5"><span><code class="def-type">[<var class="var">th</var>, <var class="var">r</var>] =</code> <strong class="def-name">rose</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-rose-5"> ¶</a></span></dt>
<dd><p>Plot an angular histogram.
</p>
<p>With one vector argument, <var class="var">th</var>, plot the histogram with 20 angular bins.
If <var class="var">th</var> is a matrix then each column of <var class="var">th</var> produces a separate
histogram.
</p>
<p>If <var class="var">nbins</var> is given and is a scalar, then the histogram is produced with
<var class="var">nbin</var> bins. If <var class="var">bins</var> is a vector, then the center of each bin is
defined by the values in <var class="var">bins</var> and the number of bins is
given by the number of elements in <var class="var">bins</var>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to the
line objects representing each histogram.
</p>
<p>If two output arguments are requested then no plot is made and
the polar vectors necessary to plot the histogram are returned instead.
</p>
<p>Example
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[th, r] = rose ([2*randn(1e5,1), pi + 2*randn(1e5,1)]);
polar (th, r);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFpolar">polar</a>.
</p></dd></dl>
<p>The <code class="code">contour</code>, <code class="code">contourf</code> and <code class="code">contourc</code> functions
produce two-dimensional contour plots from three-dimensional data.
</p>
<a class="anchor" id="XREFcontour"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-contour"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-contour"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-1"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(<var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contour-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-2"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-contour-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-3"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contour-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-4"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-contour-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-5"><span><strong class="def-name">contour</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-contour-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour-6"><span><code class="def-type">[<var class="var">c</var>, <var class="var">h</var>] =</code> <strong class="def-name">contour</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-contour-6"> ¶</a></span></dt>
<dd><p>Create a 2-D contour plot.
</p>
<p>Plot level curves (contour lines) of the matrix <var class="var">z</var>, using the
contour matrix <var class="var">c</var> computed by <code class="code">contourc</code> from the same
arguments; see the latter for their interpretation.
</p>
<p>The appearance of contour lines can be defined with a line style <var class="var">style</var>
in the same manner as <code class="code">plot</code>. Only line style and color are used;
Any markers defined by <var class="var">style</var> are ignored.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional output <var class="var">c</var> contains the contour levels in <code class="code">contourc</code>
format.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the hggroup
comprising the contour lines.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">x = 0:3;
y = 0:2;
z = y' * x;
contour (x, y, z, 2:3)
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Two_002ddimensional-Function-Plotting.html#XREFezcontour">ezcontour</a>, <a class="ref" href="#XREFcontourc">contourc</a>, <a class="ref" href="#XREFcontourf">contourf</a>, <a class="ref" href="#XREFcontour3">contour3</a>, <a class="ref" href="Plot-Annotations.html#XREFclabel">clabel</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="#XREFplot">plot</a>.
</p>
</dd></dl>
<a class="anchor" id="XREFcontourf"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-contourf"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-contourf"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-1"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(<var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contourf-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-2"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-contourf-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-3"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contourf-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-4"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-contourf-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-5"><span><strong class="def-name">contourf</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-contourf-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourf-6"><span><code class="def-type">[<var class="var">c</var>, <var class="var">h</var>] =</code> <strong class="def-name">contourf</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-contourf-6"> ¶</a></span></dt>
<dd><p>Create a 2-D contour plot with filled intervals.
</p>
<p>Plot level curves (contour lines) of the matrix <var class="var">z</var> and fill the region
between lines with colors from the current colormap.
</p>
<p>The level curves are taken from the contour matrix <var class="var">c</var> computed by
<code class="code">contourc</code> for the same arguments; see the latter for their
interpretation.
</p>
<p>The appearance of contour lines can be defined with a line style <var class="var">style</var>
in the same manner as <code class="code">plot</code>. Only line style and color are used;
Any markers defined by <var class="var">style</var> are ignored.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional output <var class="var">c</var> contains the contour levels in <code class="code">contourc</code>
format.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the hggroup
comprising the contour lines.
</p>
<p>The following example plots filled contours of the <code class="code">peaks</code> function.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = peaks (50);
contourf (x, y, z, -7:9)
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Two_002ddimensional-Function-Plotting.html#XREFezcontourf">ezcontourf</a>, <a class="ref" href="#XREFcontour">contour</a>, <a class="ref" href="#XREFcontourc">contourc</a>, <a class="ref" href="#XREFcontour3">contour3</a>, <a class="ref" href="Plot-Annotations.html#XREFclabel">clabel</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFcontourc"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-contourc"><span><code class="def-type"><var class="var">c</var> =</code> <strong class="def-name">contourc</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-contourc"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourc-1"><span><code class="def-type"><var class="var">c</var> =</code> <strong class="def-name">contourc</strong> <code class="def-code-arguments">(<var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contourc-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourc-2"><span><code class="def-type"><var class="var">c</var> =</code> <strong class="def-name">contourc</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-contourc-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourc-3"><span><code class="def-type"><var class="var">c</var> =</code> <strong class="def-name">contourc</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contourc-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contourc-4"><span><code class="def-type">[<var class="var">c</var>, <var class="var">lev</var>] =</code> <strong class="def-name">contourc</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-contourc-4"> ¶</a></span></dt>
<dd><p>Compute contour lines (isolines of constant Z value).
</p>
<p>The matrix <var class="var">z</var> contains height values above the rectangular grid
determined by <var class="var">x</var> and <var class="var">y</var>. If only a single input <var class="var">z</var> is
provided then <var class="var">x</var> is taken to be <code class="code">1:columns (<var class="var">z</var>)</code> and <var class="var">y</var>
is taken to be <code class="code">1:rows (<var class="var">z</var>)</code>. The minimum data size is 2x2.
</p>
<p>The optional input <var class="var">vn</var> is either a scalar denoting the number of
contour lines to compute or a vector containing the Z values where lines
will be computed. When <var class="var">vn</var> is a vector the number of contour lines
is <code class="code">numel (<var class="var">vn</var>)</code>. However, to compute a single contour line
at a given value use <code class="code"><var class="var">vn</var> = [val, val]</code>. If <var class="var">vn</var> is omitted
it defaults to 10.
</p>
<p>The return value <var class="var">c</var> is a 2x<var class="var">n</var> matrix containing the contour lines
in the following format
</p>
<div class="example">
<div class="group"><pre class="example-preformatted"><var class="var">c</var> = [lev1, x1, x2, ..., levn, x1, x2, ...
len1, y1, y2, ..., lenn, y1, y2, ...]
</pre></div></div>
<p>in which contour line <var class="var">n</var> has a level (height) of <var class="var">levn</var> and length
of <var class="var">lenn</var>.
</p>
<p>The optional return value <var class="var">lev</var> is a vector with the Z values of the
contour levels.
</p>
<p>Example:
</p>
<div class="example smallexample">
<div class="group"><pre class="example-preformatted">x = 0:2;
y = x;
z = x' * y;
c = contourc (x, y, z, 2:3)
⇒ c =
2.0000 1.0000 1.0000 2.0000 2.0000 3.0000 1.5000 2.0000
4.0000 2.0000 2.0000 1.0000 1.0000 2.0000 2.0000 1.5000
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcontour">contour</a>, <a class="ref" href="#XREFcontourf">contourf</a>, <a class="ref" href="#XREFcontour3">contour3</a>, <a class="ref" href="Plot-Annotations.html#XREFclabel">clabel</a>.
</p></dd></dl>
<a class="anchor" id="XREFcontour3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-contour3"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-contour3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-1"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(<var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contour3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-2"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-contour3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-3"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">vn</var>)</code><a class="copiable-link" href="#index-contour3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-4"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-contour3-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-5"><span><strong class="def-name">contour3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-contour3-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-contour3-6"><span><code class="def-type">[<var class="var">c</var>, <var class="var">h</var>] =</code> <strong class="def-name">contour3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-contour3-6"> ¶</a></span></dt>
<dd><p>Create a 3-D contour plot.
</p>
<p><code class="code">contour3</code> plots level curves (contour lines) of the matrix <var class="var">z</var>
at a Z level corresponding to each contour. This is in contrast to
<code class="code">contour</code> which plots all of the contour lines at the same Z level
and produces a 2-D plot.
</p>
<p>The level curves are taken from the contour matrix <var class="var">c</var> computed by
<code class="code">contourc</code> for the same arguments; see the latter for their
interpretation.
</p>
<p>The appearance of contour lines can be defined with a line style <var class="var">style</var>
in the same manner as <code class="code">plot</code>. Only line style and color are used;
Any markers defined by <var class="var">style</var> are ignored.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional output <var class="var">c</var> are the contour levels in <code class="code">contourc</code>
format.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the hggroup
comprising the contour lines.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">contour3 (peaks (19));
colormap cool;
hold on;
surf (peaks (19), "facecolor", "none", "edgecolor", "black");
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcontour">contour</a>, <a class="ref" href="#XREFcontourc">contourc</a>, <a class="ref" href="#XREFcontourf">contourf</a>, <a class="ref" href="Plot-Annotations.html#XREFclabel">clabel</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<p>The <code class="code">errorbar</code>, <code class="code">semilogxerr</code>, <code class="code">semilogyerr</code>, and
<code class="code">loglogerr</code> functions produce plots with error bar markers. For
example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">rand ("state", 2);
x = 0:0.1:10;
y = sin (x);
lerr = 0.1 .* rand (size (x));
uerr = 0.1 .* rand (size (x));
errorbar (x, y, lerr, uerr);
axis ([0, 10, -1.1, 1.1]);
xlabel ("x");
ylabel ("sin (x)");
title ("Errorbar plot of sin (x)");
</pre></div></div>
<p>produces the figure shown in <a class="ref" href="#fig_003aerrorbar">Figure 15.3</a>.
</p>
<div class="float" id="fig_003aerrorbar">
<div class="center"><img class="image" src="errorbar.png" alt="errorbar">
</div><div class="caption"><p><strong class="strong">Figure 15.3: </strong>Errorbar plot.</p></div></div>
<a class="anchor" id="XREFerrorbar"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-errorbar"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-errorbar"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-1"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">y</var>, …, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-errorbar-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-2"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-errorbar-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-3"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">err</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-errorbar-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-4"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lerr</var>, <var class="var">uerr</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-errorbar-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-5"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ex</var>, <var class="var">ey</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-errorbar-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-6"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lx</var>, <var class="var">ux</var>, <var class="var">ly</var>, <var class="var">uy</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-errorbar-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-7"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, …, <var class="var">fmt</var>, <var class="var">xn</var>, <var class="var">yn</var>, …)</code><a class="copiable-link" href="#index-errorbar-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-8"><span><strong class="def-name">errorbar</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-errorbar-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-errorbar-9"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">errorbar</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-errorbar-9"> ¶</a></span></dt>
<dd><p>Create a 2-D plot with errorbars.
</p>
<p>Many different combinations of arguments are possible. The simplest form is
</p>
<div class="example">
<pre class="example-preformatted">errorbar (<var class="var">y</var>, <var class="var">ey</var>)
</pre></div>
<p>where the first argument is taken as the set of <var class="var">y</var> coordinates, the
second argument <var class="var">ey</var> are the errors around the <var class="var">y</var> values, and the
<var class="var">x</var> coordinates are taken to be the indices of the elements
(<code class="code">1:numel (<var class="var">y</var>)</code>).
</p>
<p>The general form of the function is
</p>
<div class="example">
<pre class="example-preformatted">errorbar (<var class="var">x</var>, <var class="var">y</var>, <var class="var">err1</var>, ..., <var class="var">fmt</var>, ...)
</pre></div>
<p>After the <var class="var">x</var> and <var class="var">y</var> arguments there can be 1, 2, or 4
parameters specifying the error values depending on the nature of the error
values and the plot format <var class="var">fmt</var>.
</p>
<dl class="table">
<dt><var class="var">err</var> (scalar)</dt>
<dd><p>When the error is a scalar all points share the same error value.
The errorbars are symmetric and are drawn from <var class="var">data</var>-<var class="var">err</var> to
<var class="var">data</var>+<var class="var">err</var>.
The <var class="var">fmt</var> argument determines whether <var class="var">err</var> is in the x-direction,
y-direction (default), or both.
</p>
</dd>
<dt><var class="var">err</var> (vector or matrix)</dt>
<dd><p>Each data point has a particular error value.
The errorbars are symmetric and are drawn from <var class="var">data</var>(n)-<var class="var">err</var>(n) to
<var class="var">data</var>(n)+<var class="var">err</var>(n).
</p>
</dd>
<dt><var class="var">lerr</var>, <var class="var">uerr</var> (scalar)</dt>
<dd><p>The errors have a single low-side value and a single upper-side value.
The errorbars are not symmetric and are drawn from <var class="var">data</var>-<var class="var">lerr</var> to
<var class="var">data</var>+<var class="var">uerr</var>.
</p>
</dd>
<dt><var class="var">lerr</var>, <var class="var">uerr</var> (vector or matrix)</dt>
<dd><p>Each data point has a low-side error and an upper-side error.
The errorbars are not symmetric and are drawn from
<var class="var">data</var>(n)-<var class="var">lerr</var>(n) to <var class="var">data</var>(n)+<var class="var">uerr</var>(n).
</p></dd>
</dl>
<p>Any number of data sets (<var class="var">x1</var>,<var class="var">y1</var>, <var class="var">x2</var>,<var class="var">y2</var>, …) may
appear as long as they are separated by a format string <var class="var">fmt</var>.
</p>
<p>If <var class="var">y</var> is a matrix, <var class="var">x</var> and the error parameters must also be
matrices having the same dimensions. The columns of <var class="var">y</var> are plotted
versus the corresponding columns of <var class="var">x</var> and errorbars are taken from
the corresponding columns of the error parameters.
</p>
<p>If <var class="var">fmt</var> is missing, the yerrorbars ("~") plot style is assumed.
</p>
<p>If the <var class="var">fmt</var> argument is supplied then it is interpreted, as in normal
plots, to specify the line style, marker, and color. In addition,
<var class="var">fmt</var> may include an errorbar style which <strong class="strong">must precede</strong> the
ordinary format codes. The following errorbar styles are supported:
</p>
<dl class="table">
<dt>‘<samp class="samp">~</samp>’</dt>
<dd><p>Set yerrorbars plot style (default).
</p>
</dd>
<dt>‘<samp class="samp">></samp>’</dt>
<dd><p>Set xerrorbars plot style.
</p>
</dd>
<dt>‘<samp class="samp">~></samp>’</dt>
<dd><p>Set xyerrorbars plot style.
</p>
</dd>
<dt>‘<samp class="samp">#~</samp>’</dt>
<dd><p>Set yboxes plot style.
</p>
</dd>
<dt>‘<samp class="samp">#</samp>’</dt>
<dd><p>Set xboxes plot style.
</p>
</dd>
<dt>‘<samp class="samp">#~></samp>’</dt>
<dd><p>Set xyboxes plot style.
</p></dd>
</dl>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a handle to the hggroup object
representing the data plot and errorbars.
</p>
<p>Note: For compatibility with <small class="sc">MATLAB</small> a line is drawn through all data
points. However, most scientific errorbar plots are a scatter plot of
points with errorbars. To accomplish this, add a marker style to the
<var class="var">fmt</var> argument such as <code class="code">"."</code>. Alternatively, remove the line
by modifying the returned graphic handle with
<code class="code">set (h, "linestyle", "none")</code>.
</p>
<p>Examples:
</p>
<div class="example">
<pre class="example-preformatted">errorbar (<var class="var">x</var>, <var class="var">y</var>, <var class="var">ex</var>, ">.r")
</pre></div>
<p>produces an xerrorbar plot of <var class="var">y</var> versus <var class="var">x</var> with <var class="var">x</var>
errorbars drawn from <var class="var">x</var>-<var class="var">ex</var> to <var class="var">x</var>+<var class="var">ex</var>. The marker
<code class="code">"."</code> is used so no connecting line is drawn and the errorbars
appear in red.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">errorbar (<var class="var">x</var>, <var class="var">y1</var>, <var class="var">ey</var>, "~",
<var class="var">x</var>, <var class="var">y2</var>, <var class="var">ly</var>, <var class="var">uy</var>)
</pre></div></div>
<p>produces yerrorbar plots with <var class="var">y1</var> and <var class="var">y2</var> versus <var class="var">x</var>.
Errorbars for <var class="var">y1</var> are drawn from <var class="var">y1</var>-<var class="var">ey</var> to
<var class="var">y1</var>+<var class="var">ey</var>, errorbars for <var class="var">y2</var> from <var class="var">y2</var>-<var class="var">ly</var> to
<var class="var">y2</var>+<var class="var">uy</var>.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">errorbar (<var class="var">x</var>, <var class="var">y</var>, <var class="var">lx</var>, <var class="var">ux</var>,
<var class="var">ly</var>, <var class="var">uy</var>, "~>")
</pre></div></div>
<p>produces an xyerrorbar plot of <var class="var">y</var> versus <var class="var">x</var> in which
<var class="var">x</var> errorbars are drawn from <var class="var">x</var>-<var class="var">lx</var> to <var class="var">x</var>+<var class="var">ux</var>
and <var class="var">y</var> errorbars from <var class="var">y</var>-<var class="var">ly</var> to <var class="var">y</var>+<var class="var">uy</var>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFsemilogxerr">semilogxerr</a>, <a class="ref" href="#XREFsemilogyerr">semilogyerr</a>, <a class="ref" href="#XREFloglogerr">loglogerr</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFsemilogxerr"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-semilogxerr"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-semilogxerr"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-1"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, …, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogxerr-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-2"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-semilogxerr-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-3"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">err</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogxerr-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-4"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lerr</var>, <var class="var">uerr</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogxerr-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-5"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ex</var>, <var class="var">ey</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogxerr-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-6"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lx</var>, <var class="var">ux</var>, <var class="var">ly</var>, <var class="var">uy</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogxerr-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-7"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, …, <var class="var">fmt</var>, <var class="var">xn</var>, <var class="var">yn</var>, …)</code><a class="copiable-link" href="#index-semilogxerr-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-8"><span><strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-semilogxerr-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogxerr-9"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">semilogxerr</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-semilogxerr-9"> ¶</a></span></dt>
<dd><p>Produce 2-D plots using a logarithmic scale for the x-axis and errorbars
at each data point.
</p>
<p>Many different combinations of arguments are possible. The most common
form is
</p>
<div class="example">
<pre class="example-preformatted">semilogxerr (<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>, <var class="var">fmt</var>)
</pre></div>
<p>which produces a semi-logarithmic plot of <var class="var">y</var> versus <var class="var">x</var>
with errors in the <var class="var">y</var>-scale defined by <var class="var">ey</var> and the plot
format defined by <var class="var">fmt</var>. See <a class="xref" href="#XREFerrorbar"><code class="code">errorbar</code></a>, for
available formats and additional information.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFerrorbar">errorbar</a>, <a class="ref" href="#XREFsemilogyerr">semilogyerr</a>, <a class="ref" href="#XREFloglogerr">loglogerr</a>.
</p></dd></dl>
<a class="anchor" id="XREFsemilogyerr"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-semilogyerr"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-semilogyerr"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-1"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, …, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogyerr-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-2"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-semilogyerr-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-3"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">err</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogyerr-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-4"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lerr</var>, <var class="var">uerr</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogyerr-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-5"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ex</var>, <var class="var">ey</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogyerr-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-6"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lx</var>, <var class="var">ux</var>, <var class="var">ly</var>, <var class="var">uy</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-semilogyerr-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-7"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, …, <var class="var">fmt</var>, <var class="var">xn</var>, <var class="var">yn</var>, …)</code><a class="copiable-link" href="#index-semilogyerr-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-8"><span><strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-semilogyerr-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-semilogyerr-9"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">semilogyerr</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-semilogyerr-9"> ¶</a></span></dt>
<dd><p>Produce 2-D plots using a logarithmic scale for the y-axis and errorbars
at each data point.
</p>
<p>Many different combinations of arguments are possible. The most common
form is
</p>
<div class="example">
<pre class="example-preformatted">semilogyerr (<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>, <var class="var">fmt</var>)
</pre></div>
<p>which produces a semi-logarithmic plot of <var class="var">y</var> versus <var class="var">x</var>
with errors in the <var class="var">y</var>-scale defined by <var class="var">ey</var> and the plot
format defined by <var class="var">fmt</var>. See <a class="xref" href="#XREFerrorbar"><code class="code">errorbar</code></a>, for
available formats and additional information.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFerrorbar">errorbar</a>, <a class="ref" href="#XREFsemilogxerr">semilogxerr</a>, <a class="ref" href="#XREFloglogerr">loglogerr</a>.
</p></dd></dl>
<a class="anchor" id="XREFloglogerr"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-loglogerr"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-loglogerr"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-1"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">y</var>, …, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglogerr-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-2"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>)</code><a class="copiable-link" href="#index-loglogerr-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-3"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">err</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglogerr-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-4"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lerr</var>, <var class="var">uerr</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglogerr-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-5"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">ex</var>, <var class="var">ey</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglogerr-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-6"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">lx</var>, <var class="var">ux</var>, <var class="var">ly</var>, <var class="var">uy</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-loglogerr-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-7"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, …, <var class="var">fmt</var>, <var class="var">xn</var>, <var class="var">yn</var>, …)</code><a class="copiable-link" href="#index-loglogerr-7"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-8"><span><strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-loglogerr-8"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-loglogerr-9"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">loglogerr</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-loglogerr-9"> ¶</a></span></dt>
<dd><p>Produce 2-D plots on a double logarithm axis with errorbars.
</p>
<p>Many different combinations of arguments are possible. The most common
form is
</p>
<div class="example">
<pre class="example-preformatted">loglogerr (<var class="var">x</var>, <var class="var">y</var>, <var class="var">ey</var>, <var class="var">fmt</var>)
</pre></div>
<p>which produces a double logarithm plot of <var class="var">y</var> versus <var class="var">x</var>
with errors in the <var class="var">y</var>-scale defined by <var class="var">ey</var> and the plot
format defined by <var class="var">fmt</var>. See <a class="xref" href="#XREFerrorbar"><code class="code">errorbar</code></a>, for
available formats and additional information.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFerrorbar">errorbar</a>, <a class="ref" href="#XREFsemilogxerr">semilogxerr</a>, <a class="ref" href="#XREFsemilogyerr">semilogyerr</a>.
</p></dd></dl>
<p>Finally, the <code class="code">polar</code> function allows you to easily plot data in
polar coordinates. However, the display coordinates remain rectangular
and linear. For example,
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">polar (0:0.1:10*pi, 0:0.1:10*pi);
title ("Example polar plot from 0 to 10*pi");
</pre></div></div>
<p>produces the spiral plot shown in <a class="ref" href="#fig_003apolar">Figure 15.4</a>.
</p>
<div class="float" id="fig_003apolar">
<div class="center"><img class="image" src="polar.png" alt="polar">
</div><div class="caption"><p><strong class="strong">Figure 15.4: </strong>Polar plot.</p></div></div>
<a class="anchor" id="XREFpolar"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-polar"><span><strong class="def-name">polar</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">rho</var>)</code><a class="copiable-link" href="#index-polar"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-polar-1"><span><strong class="def-name">polar</strong> <code class="def-code-arguments">(<var class="var">theta</var>, <var class="var">rho</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-polar-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-polar-2"><span><strong class="def-name">polar</strong> <code class="def-code-arguments">(<var class="var">cplx</var>)</code><a class="copiable-link" href="#index-polar-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-polar-3"><span><strong class="def-name">polar</strong> <code class="def-code-arguments">(<var class="var">cplx</var>, <var class="var">fmt</var>)</code><a class="copiable-link" href="#index-polar-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-polar-4"><span><strong class="def-name">polar</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-polar-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-polar-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">polar</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-polar-5"> ¶</a></span></dt>
<dd><p>Create a 2-D plot from polar coordinates <var class="var">theta</var> and <var class="var">rho</var>.
</p>
<p>The input <var class="var">theta</var> is assumed to be radians and is converted to degrees
for plotting. If you have degrees then you must convert
(see <a class="pxref" href="Coordinate-Transformations.html#XREFcart2pol"><code class="code">cart2pol</code></a>) to radians before passing the
data to this function.
</p>
<p>If a single complex input <var class="var">cplx</var> is given then the real part is used
for <var class="var">theta</var> and the imaginary part is used for <var class="var">rho</var>.
</p>
<p>The optional argument <var class="var">fmt</var> specifies the line format in the same way
as <code class="code">plot</code>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created plot.
</p>
<p>Implementation Note: The polar axis is drawn using line and text objects
encapsulated in an hggroup. The hggroup properties are linked to the
original axes object such that altering an appearance property, for example
<code class="code">fontname</code>, will update the polar axis. Two new properties are
added to the original axes–<code class="code">rtick</code>, <code class="code">ttick</code>–which replace
<code class="code">xtick</code>, <code class="code">ytick</code>. The first is a list of tick locations in the
radial (rho) direction; The second is a list of tick locations in the
angular (theta) direction specified in degrees, i.e., in the range 0–359.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFrose">rose</a>, <a class="ref" href="#XREFcompass">compass</a>, <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="Coordinate-Transformations.html#XREFcart2pol">cart2pol</a>.
</p></dd></dl>
<a class="anchor" id="XREFpie"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-pie"><span><strong class="def-name">pie</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-pie"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie-1"><span><strong class="def-name">pie</strong> <code class="def-code-arguments">(…, <var class="var">explode</var>)</code><a class="copiable-link" href="#index-pie-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie-2"><span><strong class="def-name">pie</strong> <code class="def-code-arguments">(…, <var class="var">labels</var>)</code><a class="copiable-link" href="#index-pie-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie-3"><span><strong class="def-name">pie</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-pie-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">pie</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-pie-4"> ¶</a></span></dt>
<dd><p>Plot a 2-D pie chart.
</p>
<p>When called with a single vector argument, produce a pie chart of the
elements in <var class="var">x</var>. The size of the ith slice is the percentage that the
element <var class="var">x</var>i represents of the total sum of <var class="var">x</var>:
<code class="code">pct = <var class="var">x</var>(i) / sum (<var class="var">x</var>)</code>.
</p>
<p>The optional input <var class="var">explode</var> is a vector of the same length as <var class="var">x</var>
that, if nonzero, "explodes" the slice from the pie chart.
</p>
<p>The optional input <var class="var">labels</var> is a cell array of strings of the same
length as <var class="var">x</var> specifying the label for each slice.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a list of handles to the patch
and text objects generating the plot.
</p>
<p>Note: If <code class="code">sum (<var class="var">x</var>) ≤ 1</code> then the elements of <var class="var">x</var> are
interpreted as percentages directly and are not normalized by <code class="code">sum
(x)</code>. Furthermore, if the sum is less than 1 then there will be a missing
slice in the pie plot to represent the missing, unspecified percentage.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFpie3">pie3</a>, <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFrose">rose</a>.
</p></dd></dl>
<a class="anchor" id="XREFpie3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-pie3"><span><strong class="def-name">pie3</strong> <code class="def-code-arguments">(<var class="var">x</var>)</code><a class="copiable-link" href="#index-pie3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie3-1"><span><strong class="def-name">pie3</strong> <code class="def-code-arguments">(…, <var class="var">explode</var>)</code><a class="copiable-link" href="#index-pie3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie3-2"><span><strong class="def-name">pie3</strong> <code class="def-code-arguments">(…, <var class="var">labels</var>)</code><a class="copiable-link" href="#index-pie3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie3-3"><span><strong class="def-name">pie3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-pie3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pie3-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">pie3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-pie3-4"> ¶</a></span></dt>
<dd><p>Plot a 3-D pie chart.
</p>
<p>Called with a single vector argument, produces a 3-D pie chart of the
elements in <var class="var">x</var>. The size of the ith slice is the percentage that the
element <var class="var">x</var>i represents of the total sum of <var class="var">x</var>:
<code class="code">pct = <var class="var">x</var>(i) / sum (<var class="var">x</var>)</code>.
</p>
<p>The optional input <var class="var">explode</var> is a vector of the same length as <var class="var">x</var>
that, if nonzero, "explodes" the slice from the pie chart.
</p>
<p>The optional input <var class="var">labels</var> is a cell array of strings of the same
length as <var class="var">x</var> specifying the label for each slice.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a list of graphics handles to the
patch, surface, and text objects generating the plot.
</p>
<p>Note: If <code class="code">sum (<var class="var">x</var>) ≤ 1</code> then the elements of <var class="var">x</var> are
interpreted as percentages directly and are not normalized by <code class="code">sum
(x)</code>. Furthermore, if the sum is less than 1 then there will be a missing
slice in the pie plot to represent the missing, unspecified percentage.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFpie">pie</a>, <a class="ref" href="#XREFbar">bar</a>, <a class="ref" href="#XREFhist">hist</a>, <a class="ref" href="#XREFrose">rose</a>.
</p></dd></dl>
<a class="anchor" id="XREFquiver"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-quiver"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-quiver"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-1"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">u</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-quiver-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-2"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(…, <var class="var">s</var>)</code><a class="copiable-link" href="#index-quiver-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-3"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-quiver-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-4"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-quiver-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-5"><span><strong class="def-name">quiver</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-quiver-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">quiver</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-quiver-6"> ¶</a></span></dt>
<dd>
<p>Plot a 2-D vector field with arrows.
</p>
<p>Plot the (<var class="var">u</var>, <var class="var">v</var>) components of a vector field at the grid points
defined by (<var class="var">x</var>, <var class="var">y</var>). If the grid is uniform then <var class="var">x</var> and
<var class="var">y</var> can be specified as grid vectors and <code class="code">meshgrid</code> is used to
create the 2-D grid.
</p>
<p>If <var class="var">x</var> and <var class="var">y</var> are not given they are assumed to be
<code class="code">(1:<var class="var">m</var>, 1:<var class="var">n</var>)</code> where
<code class="code">[<var class="var">m</var>, <var class="var">n</var>] = size (<var class="var">u</var>)</code>.
</p>
<p>The optional input <var class="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 1.0 will
result in the longest vector exactly filling one grid square. A value of 0
or <code class="code">"off"</code> disables all scaling. The default value is 0.9.
</p>
<p>The style to use for the plot can be defined with a line style, <var class="var">style</var>,
of the same format as the <code class="code">plot</code> command. If a marker is specified
then the markers are drawn at the origin of the vectors (which are the grid
points defined by <var class="var">x</var> and <var class="var">y</var>). When a marker is specified, the
arrowhead is not drawn. If the argument <code class="code">"filled"</code> is given then the
markers are filled. If name-value plot style properties are used, they must
appear in pairs and follow any other plot style arguments.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to a quiver object.
A quiver object regroups the components of the quiver plot (body, arrow,
and marker), and allows them to be changed together.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[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></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFquiver3">quiver3</a>, <a class="ref" href="#XREFcompass">compass</a>, <a class="ref" href="#XREFfeather">feather</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFquiver3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-quiver3"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>)</code><a class="copiable-link" href="#index-quiver3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-1"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(<var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>)</code><a class="copiable-link" href="#index-quiver3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-2"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(…, <var class="var">s</var>)</code><a class="copiable-link" href="#index-quiver3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-3"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-quiver3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-4"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(…, "filled")</code><a class="copiable-link" href="#index-quiver3-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-5"><span><strong class="def-name">quiver3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-quiver3-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-quiver3-6"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">quiver3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-quiver3-6"> ¶</a></span></dt>
<dd>
<p>Plot a 3-D vector field with arrows.
</p>
<p>Plot the (<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>) components of a vector field at the
grid points defined by (<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>). If the grid is uniform
then <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var> can be specified as grid vectors and
<code class="code">meshgrid</code> is used to create the 3-D grid.
</p>
<p>If <var class="var">x</var> and <var class="var">y</var> are not given they are assumed to be
<code class="code">(1:<var class="var">m</var>, 1:<var class="var">n</var>)</code> where
<code class="code">[<var class="var">m</var>, <var class="var">n</var>] = size (<var class="var">u</var>)</code>.
</p>
<p>The optional input <var class="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 1.0 will
result in the longest vector exactly filling one grid cube. A value of 0
or <code class="code">"off"</code> disables all scaling. The default value is 0.9.
</p>
<p>The style to use for the plot can be defined with a line style <var class="var">style</var>
of the same format as the <code class="code">plot</code> command. If a marker is specified
then the markers are drawn at the origin of the vectors (which are the grid
points defined by <var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>). When a marker is specified,
the arrowhead is not drawn. If the argument <code class="code">"filled"</code> is given then
the markers are filled. If name-value plot style properties are used, they
must appear in pairs and follow any other plot style arguments.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to a quiver object.
A quiver object regroups the components of the quiver plot (body, arrow,
and marker), and allows them to be changed together.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[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></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFquiver">quiver</a>, <a class="ref" href="#XREFcompass">compass</a>, <a class="ref" href="#XREFfeather">feather</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFstreamribbon"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-streamribbon"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamribbon"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-1"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamribbon-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-2"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">anlr_spd</var>, <var class="var">lin_spd</var>)</code><a class="copiable-link" href="#index-streamribbon-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-3"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">anlr_spd</var>, <var class="var">lin_spd</var>)</code><a class="copiable-link" href="#index-streamribbon-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-4"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">anlr_rot</var>)</code><a class="copiable-link" href="#index-streamribbon-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-5"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(…, <var class="var">width</var>)</code><a class="copiable-link" href="#index-streamribbon-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-6"><span><strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-streamribbon-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamribbon-7"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">streamribbon</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-streamribbon-7"> ¶</a></span></dt>
<dd><p>Calculate and display streamribbons.
</p>
<p>The streamribbon is constructed by rotating a normal vector around a
streamline according to the angular rotation of the vector field.
</p>
<p>The vector field is given by <code class="code">[<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>]</code> and is
defined over a rectangular grid given by <code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>]</code>.
The streamribbons start at the seed points
<code class="code">[<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>]</code>.
</p>
<p><code class="code">streamribbon</code> can be called with a cell array that contains
pre-computed streamline data. To do this, <var class="var">xyz</var> must be created with
the <code class="code">stream3</code> function. <var class="var">lin_spd</var> is the linear speed of the
vector field and can be calculated from <code class="code">[<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>]</code>
by the square root of the sum of the squares. The angular speed
<var class="var">anlr_spd</var> is the projection of the angular velocity onto the velocity
of the normalized vector field and can be calculated with the <code class="code">curl</code>
command. This option is useful if you need to alter the integrator step
size or the maximum number of streamline vertices.
</p>
<p>Alternatively, ribbons can be created from an array of vertices <var class="var">xyz</var> of
a path curve. <var class="var">anlr_rot</var> contains the angles of rotation around the
edges between adjacent vertices of the path curve.
</p>
<p>The input parameter <var class="var">width</var> sets the width of the streamribbons.
</p>
<p>Streamribbons are colored according to the total angle of rotation along the
ribbon.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the plot objects
created for each streamribbon.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = meshgrid (0:0.2:4, -1:0.2:1, -1:0.2:1);
u = - x + 10;
v = 10 * z.*x;
w = - 10 * y.*x;
streamribbon (x, y, z, u, v, w, [0, 0], [0, 0.6], [0, 0]);
view (3);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstreamline">streamline</a>, <a class="ref" href="#XREFstream3">stream3</a>, <a class="ref" href="#XREFstreamtube">streamtube</a>, <a class="ref" href="#XREFostreamtube">ostreamtube</a>.
</p>
</dd></dl>
<a class="anchor" id="XREFstreamtube"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-streamtube"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamtube"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-1"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamtube-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-2"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">div</var>)</code><a class="copiable-link" href="#index-streamtube-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-3"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">div</var>)</code><a class="copiable-link" href="#index-streamtube-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-4"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">dia</var>)</code><a class="copiable-link" href="#index-streamtube-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-5"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(…, <var class="var">options</var>)</code><a class="copiable-link" href="#index-streamtube-5"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-6"><span><strong class="def-name">streamtube</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-streamtube-6"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamtube-7"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">streamtube</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-streamtube-7"> ¶</a></span></dt>
<dd><p>Plot tubes scaled by the divergence along streamlines.
</p>
<p><code class="code">streamtube</code> draws tubes whose diameter is scaled by the divergence of
a vector field. The vector field is given by
<code class="code">[<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>]</code> and is defined over a rectangular grid
given by <code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>]</code>. The tubes start at the
seed points <code class="code">[<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>]</code> and are plot along
streamlines.
</p>
<p><code class="code">streamtube</code> can also be called with a cell array containing
pre-computed streamline data. To do this, <var class="var">xyz</var> must be created with
the <code class="code">stream3</code> command. <var class="var">div</var> is used to scale the tubes.
In order to plot tubes scaled by the vector field divergence, <var class="var">div</var>
must be calculated with the <code class="code">divergence</code> command.
</p>
<p>A tube diameter of zero corresponds to the smallest scaling value along the
streamline and the largest tube diameter corresponds to the largest scaling
value.
</p>
<p>It is also possible to draw a tube along an arbitrary array of vertices
<var class="var">xyz</var>. The tube diameter can be specified by the vertex array <var class="var">dia</var>
or by a constant.
</p>
<p>The input parameter <var class="var">options</var> is a 2-D vector of the form
<code class="code">[<var class="var">scale</var>, <var class="var">n</var>]</code>. The first parameter scales the tube
diameter (default 1). The second parameter specifies the number of vertices
that are used to construct the tube circumference (default 20).
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the plot objects
created for each tube.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstream3">stream3</a>, <a class="ref" href="#XREFstreamline">streamline</a>, <a class="ref" href="#XREFstreamribbon">streamribbon</a>, <a class="ref" href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<a class="anchor" id="XREFostreamtube"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-ostreamtube"><span><strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-ostreamtube"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ostreamtube-1"><span><strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-ostreamtube-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ostreamtube-2"><span><strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(<var class="var">xyz</var>, <var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>)</code><a class="copiable-link" href="#index-ostreamtube-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ostreamtube-3"><span><strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(…, <var class="var">options</var>)</code><a class="copiable-link" href="#index-ostreamtube-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ostreamtube-4"><span><strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-ostreamtube-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-ostreamtube-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">ostreamtube</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-ostreamtube-5"> ¶</a></span></dt>
<dd><p>Calculate and display streamtubes.
</p>
<p>Streamtubes are approximated by connecting circular crossflow areas
along a streamline. The expansion of the flow is determined by the local
crossflow divergence.
</p>
<p>The vector field is given by <code class="code">[<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>]</code> and is
defined over a rectangular grid given by <code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>]</code>.
The streamtubes start at the seed points
<code class="code">[<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>]</code>.
</p>
<p>The tubes are colored based on the local vector field strength.
</p>
<p>The input parameter <var class="var">options</var> is a 2-D vector of the form
<code class="code">[<var class="var">scale</var>, <var class="var">n</var>]</code>. The first parameter scales the start radius
of the streamtubes (default 1). The second parameter specifies the number
of vertices that are used to construct the tube circumference (default 20).
</p>
<p><code class="code">ostreamtube</code> can be called with a cell array containing pre-computed
streamline data. To do this, <var class="var">xyz</var> must be created with the
<code class="code">stream3</code> function. This option is useful if you need to alter the
integrator step size or the maximum number of vertices of the streamline.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the plot
objects created for each streamtube.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = meshgrid (-1:0.1:1, -1:0.1:1, -3:0.1:0);
u = -x / 10 - y;
v = x - y / 10;
w = - ones (size (x)) / 10;
ostreamtube (x, y, z, u, v, w, 1, 0, 0);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstream3">stream3</a>, <a class="ref" href="#XREFstreamline">streamline</a>, <a class="ref" href="#XREFstreamribbon">streamribbon</a>, <a class="ref" href="#XREFstreamtube">streamtube</a>.
</p></dd></dl>
<a class="anchor" id="XREFstreamline"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-streamline"><span><strong class="def-name">streamline</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamline"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamline-1"><span><strong class="def-name">streamline</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-streamline-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamline-2"><span><strong class="def-name">streamline</strong> <code class="def-code-arguments">(…, <var class="var">options</var>)</code><a class="copiable-link" href="#index-streamline-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamline-3"><span><strong class="def-name">streamline</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-streamline-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-streamline-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">streamline</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-streamline-4"> ¶</a></span></dt>
<dd><p>Plot streamlines of 2-D or 3-D vector fields.
</p>
<p>Plot streamlines of a 2-D or 3-D vector field given by
<code class="code">[<var class="var">u</var>, <var class="var">v</var>]</code> or <code class="code">[<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>]</code>. The vector
field is defined over a rectangular grid given by <code class="code">[<var class="var">x</var>, <var class="var">y</var>]</code>
or <code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>]</code>. The streamlines start at the seed
points <code class="code">[<var class="var">sx</var>, <var class="var">sy</var>]</code> or <code class="code">[<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>]</code>.
</p>
<p>The input parameter <var class="var">options</var> is a 2-D vector of the form
<code class="code">[<var class="var">stepsize</var>, <var class="var">max_vertices</var>]</code>. The first parameter
specifies the step size used for trajectory integration (default 0.1). A
negative value is allowed which will reverse the direction of integration.
The second parameter specifies the maximum number of segments used to
create a streamline (default 10,000).
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the hggroup
comprising the field lines.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y] = meshgrid (-1.5:0.2:2, -1:0.2:2);
u = - x / 4 - y;
v = x - y / 4;
streamline (x, y, u, v, 1.7, 1.5);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstream2">stream2</a>, <a class="ref" href="#XREFstream3">stream3</a>, <a class="ref" href="#XREFstreamribbon">streamribbon</a>, <a class="ref" href="#XREFstreamtube">streamtube</a>, <a class="ref" href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<a class="anchor" id="XREFstream2"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stream2"><span><code class="def-type"><var class="var">xy</var> =</code> <strong class="def-name">stream2</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">sx</var>, <var class="var">sy</var>)</code><a class="copiable-link" href="#index-stream2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stream2-1"><span><code class="def-type"><var class="var">xy</var> =</code> <strong class="def-name">stream2</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">sx</var>, <var class="var">sy</var>)</code><a class="copiable-link" href="#index-stream2-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stream2-2"><span><code class="def-type"><var class="var">xy</var> =</code> <strong class="def-name">stream2</strong> <code class="def-code-arguments">(…, <var class="var">options</var>)</code><a class="copiable-link" href="#index-stream2-2"> ¶</a></span></dt>
<dd><p>Compute 2-D streamline data.
</p>
<p>Calculates streamlines of a vector field given by <code class="code">[<var class="var">u</var>, <var class="var">v</var>]</code>.
The vector field is defined over a rectangular grid given by
<code class="code">[<var class="var">x</var>, <var class="var">y</var>]</code>. The streamlines start at the seed points
<code class="code">[<var class="var">sx</var>, <var class="var">sy</var>]</code>. The returned value <var class="var">xy</var> contains a cell
array of vertex arrays. If the starting point is outside the vector field,
<code class="code">[]</code> is returned.
</p>
<p>The input parameter <var class="var">options</var> is a 2-D vector of the form
<code class="code">[<var class="var">stepsize</var>, <var class="var">max_vertices</var>]</code>. The first parameter
specifies the step size used for trajectory integration (default 0.1). A
negative value is allowed which will reverse the direction of integration.
The second parameter specifies the maximum number of segments used to
create a streamline (default 10,000).
</p>
<p>The return value <var class="var">xy</var> is a nverts x 2 matrix containing the
coordinates of the field line segments.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y] = meshgrid (0:3);
u = 2 * x;
v = y;
xy = stream2 (x, y, u, v, 1.0, 0.5);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstreamline">streamline</a>, <a class="ref" href="#XREFstream3">stream3</a>.
</p></dd></dl>
<a class="anchor" id="XREFstream3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-stream3"><span><code class="def-type"><var class="var">xyz</var> =</code> <strong class="def-name">stream3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-stream3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stream3-1"><span><code class="def-type"><var class="var">xyz</var> =</code> <strong class="def-name">stream3</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>, <var class="var">w</var>, <var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>)</code><a class="copiable-link" href="#index-stream3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-stream3-2"><span><code class="def-type"><var class="var">xyz</var> =</code> <strong class="def-name">stream3</strong> <code class="def-code-arguments">(…, <var class="var">options</var>)</code><a class="copiable-link" href="#index-stream3-2"> ¶</a></span></dt>
<dd><p>Compute 3-D streamline data.
</p>
<p>Calculate streamlines of a vector field given by <code class="code">[<var class="var">u</var>, <var class="var">v</var>,
<var class="var">w</var>]</code>. The vector field is defined over a rectangular grid given by
<code class="code">[<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>]</code>. The streamlines start at the seed
points <code class="code">[<var class="var">sx</var>, <var class="var">sy</var>, <var class="var">sz</var>]</code>. The returned value <var class="var">xyz</var>
contains a cell array of vertex arrays. If the starting point is outside
the vector field, <code class="code">[]</code> is returned.
</p>
<p>The input parameter <var class="var">options</var> is a 2-D vector of the form
<code class="code">[<var class="var">stepsize</var>, <var class="var">max_vertices</var>]</code>. The first parameter
specifies the step size used for trajectory integration (default 0.1). A
negative value is allowed which will reverse the direction of integration.
The second parameter specifies the maximum number of segments used to
create a streamline (default 10,000).
</p>
<p>The return value <var class="var">xyz</var> is a nverts x 3 matrix containing the
coordinates of the field line segments.
</p>
<p>Example:
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">[x, y, z] = meshgrid (0:3);
u = 2 * x;
v = y;
w = 3 * z;
xyz = stream3 (x, y, z, u, v, w, 1.0, 0.5, 0.0);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFstream2">stream2</a>, <a class="ref" href="#XREFstreamline">streamline</a>, <a class="ref" href="#XREFstreamribbon">streamribbon</a>, <a class="ref" href="#XREFstreamtube">streamtube</a>, <a class="ref" href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<a class="anchor" id="XREFcompass"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-compass"><span><strong class="def-name">compass</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-compass"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-compass-1"><span><strong class="def-name">compass</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-compass-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-compass-2"><span><strong class="def-name">compass</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-compass-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-compass-3"><span><strong class="def-name">compass</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-compass-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-compass-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">compass</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-compass-4"> ¶</a></span></dt>
<dd>
<p>Plot the <code class="code">(<var class="var">u</var>, <var class="var">v</var>)</code> components of a vector field emanating
from the origin of a polar plot.
</p>
<p>The arrow representing each vector has one end at the origin and the tip at
[<var class="var">u</var>(i), <var class="var">v</var>(i)]. If a single complex argument <var class="var">z</var> is given,
then <code class="code"><var class="var">u</var> = real (<var class="var">z</var>)</code> and <code class="code"><var class="var">v</var> = imag (<var class="var">z</var>)</code>.
</p>
<p>The style to use for the plot can be defined with a line style <var class="var">style</var>
of the same format as the <code class="code">plot</code> command.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to the
line objects representing the drawn vectors.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">a = toeplitz ([1;randn(9,1)], [1,randn(1,9)]);
compass (eig (a));
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFpolar">polar</a>, <a class="ref" href="#XREFfeather">feather</a>, <a class="ref" href="#XREFquiver">quiver</a>, <a class="ref" href="#XREFrose">rose</a>, <a class="ref" href="#XREFplot">plot</a>.
</p></dd></dl>
<a class="anchor" id="XREFfeather"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-feather"><span><strong class="def-name">feather</strong> <code class="def-code-arguments">(<var class="var">u</var>, <var class="var">v</var>)</code><a class="copiable-link" href="#index-feather"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-feather-1"><span><strong class="def-name">feather</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-feather-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-feather-2"><span><strong class="def-name">feather</strong> <code class="def-code-arguments">(…, <var class="var">style</var>)</code><a class="copiable-link" href="#index-feather-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-feather-3"><span><strong class="def-name">feather</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-feather-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-feather-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">feather</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-feather-4"> ¶</a></span></dt>
<dd>
<p>Plot the <code class="code">(<var class="var">u</var>, <var class="var">v</var>)</code> components of a vector field emanating
from equidistant points on the x-axis.
</p>
<p>If a single complex argument <var class="var">z</var> is given, then
<code class="code"><var class="var">u</var> = real (<var class="var">z</var>)</code> and <code class="code"><var class="var">v</var> = imag (<var class="var">z</var>)</code>.
</p>
<p>The style to use for the plot can be defined with a line style <var class="var">style</var>
of the same format as the <code class="code">plot</code> command.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to the
line objects representing the drawn vectors.
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">phi = [0 : 15 : 360] * pi/180;
feather (sin (phi), cos (phi));
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="#XREFquiver">quiver</a>, <a class="ref" href="#XREFcompass">compass</a>.
</p></dd></dl>
<a class="anchor" id="XREFpcolor"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-pcolor"><span><strong class="def-name">pcolor</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">c</var>)</code><a class="copiable-link" href="#index-pcolor"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pcolor-1"><span><strong class="def-name">pcolor</strong> <code class="def-code-arguments">(<var class="var">c</var>)</code><a class="copiable-link" href="#index-pcolor-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pcolor-2"><span><strong class="def-name">pcolor</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-pcolor-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-pcolor-3"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">pcolor</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-pcolor-3"> ¶</a></span></dt>
<dd><p>Produce a 2-D density plot.
</p>
<p>A <code class="code">pcolor</code> plot draws rectangles with colors from the matrix <var class="var">c</var>
over the two-dimensional region represented by the matrices <var class="var">x</var> and
<var class="var">y</var>. <var class="var">x</var> and <var class="var">y</var> are the coordinates of the mesh’s vertices
and are typically the output of <code class="code">meshgrid</code>. If <var class="var">x</var> and <var class="var">y</var> are
vectors, then a typical vertex is (<var class="var">x</var>(j), <var class="var">y</var>(i), <var class="var">c</var>(i,j)).
Thus, columns of <var class="var">c</var> correspond to different <var class="var">x</var> values and rows
of <var class="var">c</var> correspond to different <var class="var">y</var> values.
</p>
<p>The values in <var class="var">c</var> are scaled to span the range of the current
colormap. Limits may be placed on the color axis by the command
<code class="code">clim</code>, or by setting the <code class="code">clim</code> property of the parent axis.
</p>
<p>The face color of each cell of the mesh is determined by interpolating
the values of <var class="var">c</var> for each of the cell’s vertices; Contrast this with
<code class="code">imagesc</code> which renders one cell for each element of <var class="var">c</var>.
</p>
<p><code class="code">shading</code> modifies an attribute determining the manner by which the
face color of each cell is interpolated from the values of <var class="var">c</var>,
and the visibility of the cells’ edges. By default the attribute is
<code class="code">"faceted"</code>, which renders a single color for each cell’s face with
the edge visible.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the created
surface object.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFshading">shading</a>, <a class="ref" href="Three_002dDimensional-Plots.html#XREFmeshgrid">meshgrid</a>, <a class="ref" href="#XREFcontour">contour</a>, <a class="ref" href="Displaying-Images.html#XREFimagesc">imagesc</a>.
</p></dd></dl>
<a class="anchor" id="XREFarea"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-area"><span><strong class="def-name">area</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-area"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-area-1"><span><strong class="def-name">area</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-area-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-area-2"><span><strong class="def-name">area</strong> <code class="def-code-arguments">(…, <var class="var">lvl</var>)</code><a class="copiable-link" href="#index-area-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-area-3"><span><strong class="def-name">area</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>, …)</code><a class="copiable-link" href="#index-area-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-area-4"><span><strong class="def-name">area</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-area-4"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-area-5"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">area</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-area-5"> ¶</a></span></dt>
<dd><p>Area plot of the columns of <var class="var">y</var>.
</p>
<p>This plot shows the contributions of each column value to the row sum.
It is functionally similar to <code class="code">plot (<var class="var">x</var>, cumsum (<var class="var">y</var>, 2))</code>,
except that the area under the curve is shaded.
</p>
<p>If the <var class="var">x</var> argument is omitted it defaults to <code class="code">1:rows (<var class="var">y</var>)</code>.
A value <var class="var">lvl</var> can be defined that determines where the base level of
the shading under the curve should be defined. The default level is 0.
</p>
<p>Additional property/value pairs are passed directly to the underlying patch
object. The full list of properties is documented at
<a class="ref" href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a graphics handle to the hggroup
object comprising the area patch objects. The <code class="code">"BaseValue"</code> property
of the hggroup can be used to adjust the level where shading begins.
</p>
<p>Example: Verify identity sin^2 + cos^2 = 1
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">t = linspace (0, 2*pi, 100)';
y = [sin(t).^2, cos(t).^2];
area (t, y);
legend ("sin^2", "cos^2", "location", "NorthEastOutside");
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFplot">plot</a>, <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<a class="anchor" id="XREFfill"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-fill"><span><strong class="def-name">fill</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">c</var>)</code><a class="copiable-link" href="#index-fill"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill-1"><span><strong class="def-name">fill</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, <var class="var">c1</var>, <var class="var">x2</var>, <var class="var">y2</var>, <var class="var">c2</var>)</code><a class="copiable-link" href="#index-fill-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill-2"><span><strong class="def-name">fill</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>)</code><a class="copiable-link" href="#index-fill-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill-3"><span><strong class="def-name">fill</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-fill-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">fill</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-fill-4"> ¶</a></span></dt>
<dd><p>Create one or more filled 2-D polygons.
</p>
<p>The inputs <var class="var">x</var> and <var class="var">y</var> are the coordinates of the polygon vertices.
If the inputs are matrices then the rows represent different vertices and
each column produces a different polygon. <code class="code">fill</code> will close any open
polygons before plotting.
</p>
<p>The input <var class="var">c</var> determines the color of the polygon. The simplest form
is a single color specification such as a <code class="code">plot</code> format or an
RGB-triple. In this case the polygon(s) will have one unique color. If
<var class="var">c</var> is a vector or matrix then the color data is first scaled using
<code class="code">clim</code> and then indexed into the current colormap. A row vector will
color each polygon (a column from matrices <var class="var">x</var> and <var class="var">y</var>) with a
single computed color. A matrix <var class="var">c</var> of the same size as <var class="var">x</var> and
<var class="var">y</var> will compute the color of each vertex and then interpolate the face
color between the vertices.
</p>
<p>Multiple property/value pairs for the underlying patch object may be
specified, but they must appear in pairs. The full list of properties is
documented at <a class="ref" href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to
the created patch objects.
</p>
<p>Example: red square
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">vertices = [0 0
1 0
1 1
0 1];
fill (vertices(:,1), vertices(:,2), "r");
axis ([-0.5 1.5, -0.5 1.5])
axis equal
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="#XREFfill3">fill3</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>.
</p></dd></dl>
<a class="anchor" id="XREFfill3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-fill3"><span><strong class="def-name">fill3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">c</var>)</code><a class="copiable-link" href="#index-fill3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill3-1"><span><strong class="def-name">fill3</strong> <code class="def-code-arguments">(<var class="var">x1</var>, <var class="var">y1</var>, <var class="var">z1</var>, <var class="var">c1</var>, <var class="var">x2</var>, <var class="var">y2</var>, <var class="var">z2</var>, <var class="var">c2</var>)</code><a class="copiable-link" href="#index-fill3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill3-2"><span><strong class="def-name">fill3</strong> <code class="def-code-arguments">(…, <var class="var">prop</var>, <var class="var">val</var>)</code><a class="copiable-link" href="#index-fill3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill3-3"><span><strong class="def-name">fill3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-fill3-3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-fill3-4"><span><code class="def-type"><var class="var">h</var> =</code> <strong class="def-name">fill3</strong> <code class="def-code-arguments">(…)</code><a class="copiable-link" href="#index-fill3-4"> ¶</a></span></dt>
<dd><p>Create one or more filled 3-D polygons.
</p>
<p>The inputs <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var> are the coordinates of the polygon
vertices. If the inputs are matrices then the rows represent different
vertices and each column produces a different polygon. <code class="code">fill3</code> will
close any open polygons before plotting.
</p>
<p>The input <var class="var">c</var> determines the color of the polygon. The simplest form
is a single color specification such as a <code class="code">plot</code> format or an
RGB-triple. In this case the polygon(s) will have one unique color. If
<var class="var">c</var> is a vector or matrix then the color data is first scaled using
<code class="code">clim</code> and then indexed into the current colormap. A row vector will
color each polygon (a column from matrices <var class="var">x</var>, <var class="var">y</var>, and <var class="var">z</var>)
with a single computed color. A matrix <var class="var">c</var> of the same size as <var class="var">x</var>,
<var class="var">y</var>, and <var class="var">z</var> will compute the color of each vertex and then
interpolate the face color between the vertices.
</p>
<p>Multiple property/value pairs for the underlying patch object may be
specified, but they must appear in pairs. The full list of properties is
documented at <a class="ref" href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p>The optional return value <var class="var">h</var> is a vector of graphics handles to
the created patch objects.
</p>
<p>Example: oblique red rectangle
</p>
<div class="example">
<div class="group"><pre class="example-preformatted">vertices = [0 0 0
1 1 0
1 1 1
0 0 1];
fill3 (vertices(:,1), vertices(:,2), vertices(:,3), "r");
axis ([-0.5 1.5, -0.5 1.5, -0.5 1.5]);
axis ("equal");
grid ("on");
view (-80, 25);
</pre></div></div>
<p><strong class="strong">See also:</strong> <a class="ref" href="Creating-Graphics-Objects.html#XREFpatch">patch</a>, <a class="ref" href="#XREFfill">fill</a>, <a class="ref" href="Axis-Configuration.html#XREFclim">clim</a>, <a class="ref" href="Representing-Images.html#XREFcolormap">colormap</a>.
</p></dd></dl>
<a class="anchor" id="XREFcomet"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-comet"><span><strong class="def-name">comet</strong> <code class="def-code-arguments">(<var class="var">y</var>)</code><a class="copiable-link" href="#index-comet"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet-1"><span><strong class="def-name">comet</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>)</code><a class="copiable-link" href="#index-comet-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet-2"><span><strong class="def-name">comet</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">p</var>)</code><a class="copiable-link" href="#index-comet-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet-3"><span><strong class="def-name">comet</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-comet-3"> ¶</a></span></dt>
<dd><p>Produce a simple comet style animation along the trajectory provided by
the input coordinate vectors (<var class="var">x</var>, <var class="var">y</var>).
</p>
<p>If <var class="var">x</var> is not specified it defaults to the indices of <var class="var">y</var>.
</p>
<p>The speed of the comet may be controlled by <var class="var">p</var>, which represents the
time each point is displayed before moving to the next one. The default for
<var class="var">p</var> is <code class="code">5 / numel (<var class="var">y</var>)</code>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcomet3">comet3</a>.
</p></dd></dl>
<a class="anchor" id="XREFcomet3"></a><span style="display:block; margin-top:-4.5ex;"> </span>
<dl class="first-deftypefn">
<dt class="deftypefn" id="index-comet3"><span><strong class="def-name">comet3</strong> <code class="def-code-arguments">(<var class="var">z</var>)</code><a class="copiable-link" href="#index-comet3"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet3-1"><span><strong class="def-name">comet3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>)</code><a class="copiable-link" href="#index-comet3-1"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet3-2"><span><strong class="def-name">comet3</strong> <code class="def-code-arguments">(<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>, <var class="var">p</var>)</code><a class="copiable-link" href="#index-comet3-2"> ¶</a></span></dt>
<dt class="deftypefnx def-cmd-deftypefn" id="index-comet3-3"><span><strong class="def-name">comet3</strong> <code class="def-code-arguments">(<var class="var">hax</var>, …)</code><a class="copiable-link" href="#index-comet3-3"> ¶</a></span></dt>
<dd><p>Produce a simple comet style animation along the trajectory provided by
the input coordinate vectors (<var class="var">x</var>, <var class="var">y</var>, <var class="var">z</var>).
</p>
<p>If only <var class="var">z</var> is specified then <var class="var">x</var>, <var class="var">y</var> default to the indices
of <var class="var">z</var>.
</p>
<p>The speed of the comet may be controlled by <var class="var">p</var>, which represents the
time each point is displayed before moving to the next one. The default for
<var class="var">p</var> is <code class="code">5 / numel (<var class="var">z</var>)</code>.
</p>
<p>If the first argument <var class="var">hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code class="code">gca</code>.
</p>
<p><strong class="strong">See also:</strong> <a class="ref" href="#XREFcomet">comet</a>.
</p></dd></dl>
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