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<span id="Two_002dDimensional-Plots"></span><div class="header">
<p>
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>
</div>
<hr>
<span id="Two_002dDimensional-Plots-1"></span><h4 class="subsection">15.2.1 Two-Dimensional Plots</h4>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">• <a href="Axis-Configuration.html" accesskey="1">Axis Configuration</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="Two_002ddimensional-Function-Plotting.html" accesskey="2">Two-dimensional Function Plotting</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="Two_002ddimensional-Geometric-Shapes.html" accesskey="3">Two-dimensional Geometric Shapes</a></td><td> </td><td align="left" valign="top">
</td></tr>
</table>
<p>The <code>plot</code> function allows you to create simple x-y plots with
linear axes. For example,
</p>
<div class="example">
<pre class="example">x = -10:0.1:10;
plot (x, sin (x));
xlabel ("x");
ylabel ("sin (x)");
title ("Simple 2-D Plot");
</pre></div>
<p>displays a sine wave shown in <a 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"><span id="fig_003aplot"></span>
<div align="center"><img src="plot.png" alt="plot">
</div>
<div class="float-caption"><p><strong>Figure 15.1: </strong>Simple Two-Dimensional Plot.</p></div></div>
<span id="XREFplot"></span><dl>
<dt id="index-plot">: <em></em> <strong>plot</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-plot-1">: <em></em> <strong>plot</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-plot-2">: <em></em> <strong>plot</strong> <em>(<var>x</var>, <var>y</var>, <var>fmt</var>)</em></dt>
<dt id="index-plot-3">: <em></em> <strong>plot</strong> <em>(…, <var>property</var>, <var>value</var>, …)</em></dt>
<dt id="index-plot-4">: <em></em> <strong>plot</strong> <em>(<var>x1</var>, <var>y1</var>, …, <var>xn</var>, <var>yn</var>)</em></dt>
<dt id="index-plot-5">: <em></em> <strong>plot</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-plot-6">: <em><var>h</var> =</em> <strong>plot</strong> <em>(…)</em></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">plot (<var>y</var>)
</pre></div>
<p>where the argument is taken as the set of <var>y</var> coordinates and the
<var>x</var> coordinates are taken to be the range <code>1:numel (<var>y</var>)</code>.
</p>
<p>If more than one argument is given, they are interpreted as
</p>
<div class="example">
<pre class="example">plot (<var>y</var>, <var>property</var>, <var>value</var>, …)
</pre></div>
<p>or
</p>
<div class="example">
<pre class="example">plot (<var>x</var>, <var>y</var>, <var>property</var>, <var>value</var>, …)
</pre></div>
<p>or
</p>
<div class="example">
<pre class="example">plot (<var>x</var>, <var>y</var>, <var>fmt</var>, …)
</pre></div>
<p>and so on. Any number of argument sets may appear. The <var>x</var> and
<var>y</var> values are interpreted as follows:
</p>
<ul>
<li> If a single data argument is supplied, it is taken as the set of <var>y</var>
coordinates and the <var>x</var> coordinates are taken to be the indices of
the elements, starting with 1.
</li><li> If <var>x</var> and <var>y</var> are scalars, a single point is plotted.
</li><li> <code>squeeze()</code> is applied to arguments with more than two dimensions,
but no more than two singleton dimensions.
</li><li> If both arguments are vectors, the elements of <var>y</var> are plotted versus
the elements of <var>x</var>.
</li><li> If <var>x</var> is a vector and <var>y</var> is a matrix, then
the columns (or rows) of <var>y</var> are plotted versus <var>x</var>.
(using whichever combination matches, with columns tried first.)
</li><li> If the <var>x</var> is a matrix and <var>y</var> is a vector,
<var>y</var> is plotted versus the columns (or rows) of <var>x</var>.
(using whichever combination matches, with columns tried first.)
</li><li> If both arguments are matrices, the columns of <var>y</var> are plotted
versus the columns of <var>x</var>. In this case, both matrices must have
the same number of rows and columns and no attempt is made to transpose
the arguments to make the number of rows match.
</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>plot</code>. Useful properties to modify are <code>"linestyle"</code>,
<code>"linewidth"</code>, <code>"color"</code>, <code>"marker"</code>,
<code>"markersize"</code>, <code>"markeredgecolor"</code>, <code>"markerfacecolor"</code>.
The full list of properties is documented at
<a href="Line-Properties.html">Line Properties</a>.
</p>
<p>The <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>fmt</var> and no <var>property</var>/<var>value</var> pairs are
given, then the default plot style is solid lines with no markers and the
color determined by the <code>"colororder"</code> property of the current axes.
</p>
<p>Format arguments:
</p>
<dl compact="compact">
<dt>linestyle</dt>
<dd>
<table>
<tr><td width="6%">‘<samp>-</samp>’</td><td width="94%">Use solid lines (default).</td></tr>
<tr><td width="6%">‘<samp>--</samp>’</td><td width="94%">Use dashed lines.</td></tr>
<tr><td width="6%">‘<samp>:</samp>’</td><td width="94%">Use dotted lines.</td></tr>
<tr><td width="6%">‘<samp>-.</samp>’</td><td width="94%">Use dash-dotted lines.</td></tr>
</table>
</dd>
<dt>marker</dt>
<dd>
<table>
<tr><td width="6%">‘<samp>+</samp>’</td><td width="94%">crosshair</td></tr>
<tr><td width="6%">‘<samp>o</samp>’</td><td width="94%">circle</td></tr>
<tr><td width="6%">‘<samp>*</samp>’</td><td width="94%">star</td></tr>
<tr><td width="6%">‘<samp>.</samp>’</td><td width="94%">point</td></tr>
<tr><td width="6%">‘<samp>x</samp>’</td><td width="94%">cross</td></tr>
<tr><td width="6%">‘<samp>s</samp>’</td><td width="94%">square</td></tr>
<tr><td width="6%">‘<samp>d</samp>’</td><td width="94%">diamond</td></tr>
<tr><td width="6%">‘<samp>^</samp>’</td><td width="94%">upward-facing triangle</td></tr>
<tr><td width="6%">‘<samp>v</samp>’</td><td width="94%">downward-facing triangle</td></tr>
<tr><td width="6%">‘<samp>></samp>’</td><td width="94%">right-facing triangle</td></tr>
<tr><td width="6%">‘<samp><</samp>’</td><td width="94%">left-facing triangle</td></tr>
<tr><td width="6%">‘<samp>p</samp>’</td><td width="94%">pentagram</td></tr>
<tr><td width="6%">‘<samp>h</samp>’</td><td width="94%">hexagram</td></tr>
</table>
</dd>
<dt>color</dt>
<dd>
<table>
<tr><td width="6%">‘<samp>k</samp>’</td><td width="94%">blacK</td></tr>
<tr><td width="6%">‘<samp>r</samp>’</td><td width="94%">Red</td></tr>
<tr><td width="6%">‘<samp>g</samp>’</td><td width="94%">Green</td></tr>
<tr><td width="6%">‘<samp>b</samp>’</td><td width="94%">Blue</td></tr>
<tr><td width="6%">‘<samp>y</samp>’</td><td width="94%">Yellow</td></tr>
<tr><td width="6%">‘<samp>m</samp>’</td><td width="94%">Magenta</td></tr>
<tr><td width="6%">‘<samp>c</samp>’</td><td width="94%">Cyan</td></tr>
<tr><td width="6%">‘<samp>w</samp>’</td><td width="94%">White</td></tr>
</table>
</dd>
<dt><code>";displayname;"</code></dt>
<dd><p>Here <code>"displayname"</code> is the label to use for the plot legend.
</p></dd>
</dl>
<p>The <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>"+b;Key Title;"</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">plot (x, y, "or", x, y2, x, y3, "m", x, y4, "+")
</pre></div>
<p>This command will plot <code>y</code> with red circles, <code>y2</code> with solid
lines, <code>y3</code> with solid magenta lines, and <code>y4</code> with points
displayed as ‘<samp>+</samp>’.
</p>
<div class="example">
<pre class="example">plot (b, "*", "markersize", 10)
</pre></div>
<p>This command will plot the data in the variable <code>b</code>,
with points displayed as ‘<samp>*</samp>’ and a marker size of 10.
</p>
<div class="example">
<pre class="example">t = 0:0.1:6.3;
plot (t, cos(t), "-;cos(t);", t, sin(t), "-b;sin(t);");
</pre></div>
<p>This will plot the cosine and sine functions and label them accordingly
in the legend.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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>print</code> command.
</p>
<p><strong>See also:</strong> <a href="Axis-Configuration.html#XREFaxis">axis</a>, <a href="Plot-Annotations.html#XREFbox">box</a>, <a href="Plot-Annotations.html#XREFgrid">grid</a>, <a href="Manipulation-of-Plot-Windows.html#XREFhold">hold</a>, <a href="Plot-Annotations.html#XREFlegend">legend</a>, <a href="Plot-Annotations.html#XREFtitle">title</a>, <a href="Plot-Annotations.html#XREFxlabel">xlabel</a>, <a href="Plot-Annotations.html#XREFylabel">ylabel</a>, <a href="Axis-Configuration.html#XREFxlim">xlim</a>, <a href="Axis-Configuration.html#XREFylim">ylim</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFezplot">ezplot</a>, <a href="#XREFerrorbar">errorbar</a>, <a href="Two_002ddimensional-Function-Plotting.html#XREFfplot">fplot</a>, <a href="Graphics-Objects.html#XREFline">line</a>, <a href="Three_002dDimensional-Plots.html#XREFplot3">plot3</a>, <a href="#XREFpolar">polar</a>, <a href="#XREFloglog">loglog</a>, <a href="#XREFsemilogx">semilogx</a>, <a href="#XREFsemilogy">semilogy</a>, <a href="Multiple-Plots-on-One-Page.html#XREFsubplot">subplot</a>.
</p></dd></dl>
<p>The <code>plotyy</code> function may be used to create a plot with two
independent y axes.
</p>
<span id="XREFplotyy"></span><dl>
<dt id="index-plotyy">: <em></em> <strong>plotyy</strong> <em>(<var>x1</var>, <var>y1</var>, <var>x2</var>, <var>y2</var>)</em></dt>
<dt id="index-plotyy-1">: <em></em> <strong>plotyy</strong> <em>(…, <var>fun</var>)</em></dt>
<dt id="index-plotyy-2">: <em></em> <strong>plotyy</strong> <em>(…, <var>fun1</var>, <var>fun2</var>)</em></dt>
<dt id="index-plotyy-3">: <em></em> <strong>plotyy</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-plotyy-4">: <em>[<var>ax</var>, <var>h1</var>, <var>h2</var>] =</em> <strong>plotyy</strong> <em>(…)</em></dt>
<dd><p>Plot two sets of data with independent y-axes and a common x-axis.
</p>
<p>The arguments <var>x1</var> and <var>y1</var> define the arguments for the first plot
and <var>x1</var> and <var>y2</var> for the second.
</p>
<p>By default the arguments are evaluated with
<code>feval (@plot, <var>x</var>, <var>y</var>)</code>. However the type of plot can be
modified with the <var>fun</var> argument, in which case the plots are
generated by <code>feval (<var>fun</var>, <var>x</var>, <var>y</var>)</code>. <var>fun</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>fun1</var> and <var>fun2</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then it defines
the principal axes in which to plot the <var>x1</var> and <var>y1</var> data.
</p>
<p>The return value <var>ax</var> is a vector with the axes handles of the two
y-axes. <var>h1</var> and <var>h2</var> are handles to the objects generated by the
plot commands.
</p>
<div class="example">
<pre class="example">x = 0:0.1:2*pi;
y1 = sin (x);
y2 = exp (x - 1);
ax = plotyy (x, y1, x - 1, y2, @plot, @semilogy);
xlabel ("X");
ylabel (ax(1), "Axis 1");
ylabel (ax(2), "Axis 2");
</pre></div>
<p>When using <code>plotyy</code> in conjunction with <code>subplot</code> make sure to
call <code>subplot</code> first and pass the resulting axes handle to
<code>plotyy</code>. Do not call <code>subplot</code> with any of the axes handles
returned by <code>plotyy</code> or the other axes will be removed.
</p>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="Multiple-Plots-on-One-Page.html#XREFsubplot">subplot</a>.
</p></dd></dl>
<p>The functions <code>semilogx</code>, <code>semilogy</code>, and <code>loglog</code> are
similar to the <code>plot</code> function, but produce plots in which one or
both of the axes use log scales.
</p>
<span id="XREFsemilogx"></span><dl>
<dt id="index-semilogx">: <em></em> <strong>semilogx</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-semilogx-1">: <em></em> <strong>semilogx</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-semilogx-2">: <em></em> <strong>semilogx</strong> <em>(<var>x</var>, <var>y</var>, <var>property</var>, <var>value</var>, …)</em></dt>
<dt id="index-semilogx-3">: <em></em> <strong>semilogx</strong> <em>(<var>x</var>, <var>y</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogx-4">: <em></em> <strong>semilogx</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-semilogx-5">: <em><var>h</var> =</em> <strong>semilogx</strong> <em>(…)</em></dt>
<dd><p>Produce a 2-D plot using a logarithmic scale for the x-axis.
</p>
<p>See the documentation of <code>plot</code> for a description of the
arguments that <code>semilogx</code> will accept.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created plot.
</p>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="#XREFsemilogy">semilogy</a>, <a href="#XREFloglog">loglog</a>.
</p></dd></dl>
<span id="XREFsemilogy"></span><dl>
<dt id="index-semilogy">: <em></em> <strong>semilogy</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-semilogy-1">: <em></em> <strong>semilogy</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-semilogy-2">: <em></em> <strong>semilogy</strong> <em>(<var>x</var>, <var>y</var>, <var>property</var>, <var>value</var>, …)</em></dt>
<dt id="index-semilogy-3">: <em></em> <strong>semilogy</strong> <em>(<var>x</var>, <var>y</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogy-4">: <em></em> <strong>semilogy</strong> <em>(<var>h</var>, …)</em></dt>
<dt id="index-semilogy-5">: <em><var>h</var> =</em> <strong>semilogy</strong> <em>(…)</em></dt>
<dd><p>Produce a 2-D plot using a logarithmic scale for the y-axis.
</p>
<p>See the documentation of <code>plot</code> for a description of the
arguments that <code>semilogy</code> will accept.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created plot.
</p>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="#XREFsemilogx">semilogx</a>, <a href="#XREFloglog">loglog</a>.
</p></dd></dl>
<span id="XREFloglog"></span><dl>
<dt id="index-loglog">: <em></em> <strong>loglog</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-loglog-1">: <em></em> <strong>loglog</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-loglog-2">: <em></em> <strong>loglog</strong> <em>(<var>x</var>, <var>y</var>, <var>prop</var>, <var>value</var>, …)</em></dt>
<dt id="index-loglog-3">: <em></em> <strong>loglog</strong> <em>(<var>x</var>, <var>y</var>, <var>fmt</var>)</em></dt>
<dt id="index-loglog-4">: <em></em> <strong>loglog</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-loglog-5">: <em><var>h</var> =</em> <strong>loglog</strong> <em>(…)</em></dt>
<dd><p>Produce a 2-D plot using logarithmic scales for both axes.
</p>
<p>See the documentation of <code>plot</code> for a description of the arguments
that <code>loglog</code> will accept.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created plot.
</p>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="#XREFsemilogx">semilogx</a>, <a href="#XREFsemilogy">semilogy</a>.
</p></dd></dl>
<p>The functions <code>bar</code>, <code>barh</code>, <code>stairs</code>, and <code>stem</code>
are useful for displaying discrete data. For example,
</p>
<div class="example">
<pre class="example">randn ("state", 1);
hist (randn (10000, 1), 30);
xlabel ("Value");
ylabel ("Count");
title ("Histogram of 10,000 normally distributed random numbers");
</pre></div>
<p>produces the histogram of 10,000 normally distributed random numbers
shown in <a href="#fig_003ahist">Figure 15.2</a>. Note that, <code>randn ("state", 1);</code>, initializes
the random number generator for <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"><span id="fig_003ahist"></span>
<div align="center"><img src="hist.png" alt="hist">
</div>
<div class="float-caption"><p><strong>Figure 15.2: </strong>Histogram.</p></div></div>
<span id="XREFbar"></span><dl>
<dt id="index-bar">: <em></em> <strong>bar</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-bar-1">: <em></em> <strong>bar</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-bar-2">: <em></em> <strong>bar</strong> <em>(…, <var>w</var>)</em></dt>
<dt id="index-bar-3">: <em></em> <strong>bar</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-bar-4">: <em></em> <strong>bar</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-bar-5">: <em></em> <strong>bar</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-bar-6">: <em><var>h</var> =</em> <strong>bar</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dd><p>Produce a bar graph from two vectors of X-Y data.
</p>
<p>If only one argument is given, <var>y</var>, it is taken as a vector of Y values
and the X coordinates are the range <code>1:numel (<var>y</var>)</code>.
</p>
<p>The optional input <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>y</var> is a matrix, then each column of <var>y</var> is taken to be a
separate bar graph plotted on the same graph. By default the columns
are plotted side-by-side. This behavior can be changed by the <var>style</var>
argument which can take the following values:
</p>
<dl compact="compact">
<dt><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>"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>"hist"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and centered over the
X-coordinate.
</p>
</dd>
<dt><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 href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a vector of handles to the created
"bar series" hggroups with one handle per column of the variable <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">
<pre class="example">h = bar (rand (5, 10));
set (h(1), "basevalue", 0.5);
</pre></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">bar (randn (1, 100), "facecolor", "r", "edgecolor", "b");
</pre></div>
<p>The color of the bars is taken from the figure’s colormap, such that
</p>
<div class="example">
<pre class="example">bar (rand (10, 3));
colormap (summer (64));
</pre></div>
<p>will change the colors used for the bars. The color of bars can also be set
manually using the <code>"facecolor"</code> property as shown below.
</p>
<div class="example">
<pre class="example">h = bar (rand (10, 3));
set (h(1), "facecolor", "r")
set (h(2), "facecolor", "g")
set (h(3), "facecolor", "b")
</pre></div>
<p><strong>See also:</strong> <a href="#XREFbarh">barh</a>, <a href="#XREFhist">hist</a>, <a href="#XREFpie">pie</a>, <a href="#XREFplot">plot</a>, <a href="Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<span id="XREFbarh"></span><dl>
<dt id="index-barh">: <em></em> <strong>barh</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-barh-1">: <em></em> <strong>barh</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-barh-2">: <em></em> <strong>barh</strong> <em>(…, <var>w</var>)</em></dt>
<dt id="index-barh-3">: <em></em> <strong>barh</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-barh-4">: <em></em> <strong>barh</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-barh-5">: <em></em> <strong>barh</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-barh-6">: <em><var>h</var> =</em> <strong>barh</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></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>1:numel (<var>y</var>)</code>.
</p>
<p>The optional input <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>y</var> is a matrix, then each column of <var>y</var> is taken to be a
separate bar graph plotted on the same graph. By default the columns
are plotted side-by-side. This behavior can be changed by the <var>style</var>
argument which can take the following values:
</p>
<dl compact="compact">
<dt><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>"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>"hist"</code></dt>
<dd><p>Side-by-side bars with no gap between bars and centered over the
Y-coordinate.
</p>
</dd>
<dt><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 href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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 href="#XREFbar">bar</a>.
</p>
<p><strong>See also:</strong> <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFpie">pie</a>, <a href="#XREFplot">plot</a>, <a href="Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<span id="XREFhist"></span><dl>
<dt id="index-hist">: <em></em> <strong>hist</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-hist-1">: <em></em> <strong>hist</strong> <em>(<var>y</var>, <var>nbins</var>)</em></dt>
<dt id="index-hist-2">: <em></em> <strong>hist</strong> <em>(<var>y</var>, <var>x</var>)</em></dt>
<dt id="index-hist-3">: <em></em> <strong>hist</strong> <em>(<var>y</var>, <var>x</var>, <var>norm</var>)</em></dt>
<dt id="index-hist-4">: <em></em> <strong>hist</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-hist-5">: <em></em> <strong>hist</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-hist-6">: <em>[<var>nn</var>, <var>xx</var>] =</em> <strong>hist</strong> <em>(…)</em></dt>
<dd><p>Produce histogram counts or plots.
</p>
<p>With one vector input argument, <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>y</var>).
Extreme values are lumped into the first and last bins. If <var>y</var> is a
matrix then plot a histogram where each bin contains one bar per input
column of <var>y</var>.
</p>
<p>If the optional second argument is a scalar, <var>nbins</var>, it defines the
number of bins.
</p>
<p>If the optional second argument is a vector, <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>numel (<var>x</var>)</code>.
</p>
<p>If a third argument is provided, the histogram is normalized such that
the sum of the bars is equal to <var>norm</var>.
</p>
<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">
<pre class="example">hist (randn (1, 100), 25, "facecolor", "r", "edgecolor", "b");
</pre></div>
<p>The histogram’s colors also depend upon the current colormap.
</p>
<div class="example">
<pre class="example">hist (rand (10, 3));
colormap (summer ());
</pre></div>
<p>The full list of patch properties is documented at <a href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>If an output is requested then no plot is made. Instead, return the values
<var>nn</var> (numbers of elements) and <var>xx</var> (bin centers) such that
<code>bar (<var>xx</var>, <var>nn</var>)</code> will plot the histogram.
</p>
<p><strong>See also:</strong> <a href="Basic-Statistical-Functions.html#XREFhistc">histc</a>, <a href="#XREFbar">bar</a>, <a href="#XREFpie">pie</a>, <a href="#XREFrose">rose</a>.
</p></dd></dl>
<span id="XREFstemleaf"></span><dl>
<dt id="index-stemleaf">: <em></em> <strong>stemleaf</strong> <em>(<var>x</var>, <var>caption</var>)</em></dt>
<dt id="index-stemleaf-1">: <em></em> <strong>stemleaf</strong> <em>(<var>x</var>, <var>caption</var>, <var>stem_sz</var>)</em></dt>
<dt id="index-stemleaf-2">: <em><var>plotstr</var> =</em> <strong>stemleaf</strong> <em>(…)</em></dt>
<dd><p>Compute and display a stem and leaf plot of the vector <var>x</var>.
</p>
<p>The input <var>x</var> should be a vector of integers. Any non-integer values
will be converted to integer by <code><var>x</var> = fix (<var>x</var>)</code>. By default
each element of <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>12</samp>’ and the leaf ‘<samp>3</samp>’. The second
argument, <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>stem_sz</var> sets the width of each stem.
The stem width is determined by <code>10^(<var>stem_sz</var> + 1)</code>.
The default stem width is 10.
</p>
<p>The output of <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>Exploratory Data Analysis</cite>.
Briefly, the entries are as shown:
</p>
<div class="example">
<pre class="example">
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>
<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>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><var>xs</var> = sort (<var>x</var>)</code> before calling <code>stemleaf (<var>xs</var>)</code>.
</p>
<p>The stem and leaf plot and associated displays are described in:
Chapter 3, <cite>Exploratory Data Analysis</cite> by J. W. Tukey,
Addison-Wesley, 1977.
</p>
<p><strong>See also:</strong> <a href="#XREFhist">hist</a>, <a href="#XREFprintd">printd</a>.
</p></dd></dl>
<span id="XREFprintd"></span><dl>
<dt id="index-printd">: <em></em> <strong>printd</strong> <em>(<var>obj</var>, <var>filename</var>)</em></dt>
<dt id="index-printd-1">: <em><var>out_file</var> =</em> <strong>printd</strong> <em>(…)</em></dt>
<dd>
<p>Convert any object acceptable to <code>disp</code> into the format selected by
the suffix of <var>filename</var>.
</p>
<p>If the return argument <var>out_file</var> is given, 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>stemleaf</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFstemleaf">stemleaf</a>.
</p></dd></dl>
<span id="XREFstairs"></span><dl>
<dt id="index-stairs">: <em></em> <strong>stairs</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-stairs-1">: <em></em> <strong>stairs</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-stairs-2">: <em></em> <strong>stairs</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-stairs-3">: <em></em> <strong>stairs</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-stairs-4">: <em></em> <strong>stairs</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-stairs-5">: <em><var>h</var> =</em> <strong>stairs</strong> <em>(…)</em></dt>
<dt id="index-stairs-6">: <em>[<var>xstep</var>, <var>ystep</var>] =</em> <strong>stairs</strong> <em>(…)</em></dt>
<dd><p>Produce a stairstep plot.
</p>
<p>The arguments <var>x</var> and <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><var>x</var> = 1:numel (<var>y</var>)</code>).
</p>
<p>The style to use for the plot can be defined with a line style <var>style</var>
of the same format as the <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 href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <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">stairs (x, y);
</pre></div>
<p>and
</p>
<div class="example">
<pre class="example">[xs, ys] = stairs (x, y);
plot (xs, ys);
</pre></div>
<p>are equivalent.
</p>
<p><strong>See also:</strong> <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFplot">plot</a>, <a href="#XREFstem">stem</a>.
</p></dd></dl>
<span id="XREFstem"></span><dl>
<dt id="index-stem">: <em></em> <strong>stem</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-stem-1">: <em></em> <strong>stem</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-stem-2">: <em></em> <strong>stem</strong> <em>(…, <var>linespec</var>)</em></dt>
<dt id="index-stem-3">: <em></em> <strong>stem</strong> <em>(…, "filled")</em></dt>
<dt id="index-stem-4">: <em></em> <strong>stem</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-stem-5">: <em></em> <strong>stem</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-stem-6">: <em><var>h</var> =</em> <strong>stem</strong> <em>(…)</em></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>y</var> is a matrix, then each column of the matrix is plotted as
a separate stem graph. In this case <var>x</var> can either be a vector,
the same length as the number of rows in <var>y</var>, or it can be a
matrix of the same size as <var>y</var>.
</p>
<p>The default color is <code>"b"</code> (blue), the default line style is
<code>"-"</code>, and the default marker is <code>"o"</code>. The line style can
be altered by the <var>linespec</var> argument in the same manner as the
<code>plot</code> command. If the <code>"filled"</code> argument is present the
markers at the top of the stems will be filled in. For example,
</p>
<div class="example">
<pre class="example">x = 1:10;
y = 2*x;
stem (x, y, "r");
</pre></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 href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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">
<pre class="example">x = [0:10]';
y = [sin(x), cos(x)]
h = stem (x, y);
set (h(2), "color", "g");
set (h(1), "basevalue", -1)
</pre></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 compact="compact">
<dt>linestyle</dt>
<dd><p>The linestyle of the stem. (Default: <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>"b"</code> [blue])
</p>
</dd>
<dt>marker</dt>
<dd><p>The marker symbol to use at the top of each stem. (Default: <code>"o"</code>)
</p>
</dd>
<dt>markeredgecolor</dt>
<dd><p>The edge color of the marker. (Default: <code>"color"</code> property)
</p>
</dd>
<dt>markerfacecolor</dt>
<dd><p>The color to use for "filling" the marker.
(Default: <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>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>See also:</strong> <a href="#XREFstem3">stem3</a>, <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFplot">plot</a>, <a href="#XREFstairs">stairs</a>.
</p></dd></dl>
<span id="XREFstem3"></span><dl>
<dt id="index-stem3">: <em></em> <strong>stem3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-stem3-1">: <em></em> <strong>stem3</strong> <em>(…, <var>linespec</var>)</em></dt>
<dt id="index-stem3-2">: <em></em> <strong>stem3</strong> <em>(…, "filled")</em></dt>
<dt id="index-stem3-3">: <em></em> <strong>stem3</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-stem3-4">: <em></em> <strong>stem3</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-stem3-5">: <em><var>h</var> =</em> <strong>stem3</strong> <em>(…)</em></dt>
<dd><p>Plot a 3-D stem graph.
</p>
<p>Stems are drawn from the height <var>z</var> to the location in the x-y plane
determined by <var>x</var> and <var>y</var>. The default color is <code>"b"</code> (blue),
the default line style is <code>"-"</code>, and the default marker is
<code>"o"</code>.
</p>
<p>The line style can be altered by the <var>linespec</var> argument in the same
manner as the <code>plot</code> command. If the <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 href="Line-Properties.html">Line Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a handle to the "stem series"
hggroup containing the line and marker objects used for the plot.
See <a href="#XREFstem">XREFstem</a>, for a description of the "stem series"
object.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">theta = 0:0.2:6;
stem3 (cos (theta), sin (theta), theta);
</pre></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>See also:</strong> <a href="#XREFstem">stem</a>, <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFscatter"></span><dl>
<dt id="index-scatter">: <em></em> <strong>scatter</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-scatter-1">: <em></em> <strong>scatter</strong> <em>(<var>x</var>, <var>y</var>, <var>s</var>)</em></dt>
<dt id="index-scatter-2">: <em></em> <strong>scatter</strong> <em>(<var>x</var>, <var>y</var>, <var>s</var>, <var>c</var>)</em></dt>
<dt id="index-scatter-3">: <em></em> <strong>scatter</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-scatter-4">: <em></em> <strong>scatter</strong> <em>(…, "filled")</em></dt>
<dt id="index-scatter-5">: <em></em> <strong>scatter</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-scatter-6">: <em></em> <strong>scatter</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-scatter-7">: <em><var>h</var> =</em> <strong>scatter</strong> <em>(…)</em></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>x</var> and <var>y</var>.
</p>
<p>The size of the markers is determined by <var>s</var>, which can be a scalar
or a vector of the same length as <var>x</var> and <var>y</var>. If <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>sqrt (s)</code>).
</p>
<p>The color of the markers is determined by <var>c</var>, which can be a string
defining a fixed color; a 3-element vector giving the red, green, and blue
components of the color; a vector of the same length as <var>x</var> that gives
a scaled index into the current colormap; or an Nx3 matrix
defining the RGB color of each marker individually.
</p>
<p>The marker to use can be changed with the <var>style</var> argument; it is a
string defining a marker in the same manner as the <code>plot</code> command.
If no marker is specified it defaults to <code>"o"</code> or circles.
If the argument <code>"filled"</code> is given then the markers are filled.
</p>
<p>Additional property/value pairs are passed directly to the underlying
patch object. The full list of properties is documented at
<a href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created
scatter object.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">x = randn (100, 1);
y = randn (100, 1);
scatter (x, y, [], sqrt (x.^2 + y.^2));
</pre></div>
<p><strong>See also:</strong> <a href="Three_002dDimensional-Plots.html#XREFscatter3">scatter3</a>, <a href="Graphics-Objects.html#XREFpatch">patch</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFplotmatrix"></span><dl>
<dt id="index-plotmatrix">: <em></em> <strong>plotmatrix</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-plotmatrix-1">: <em></em> <strong>plotmatrix</strong> <em>(<var>x</var>)</em></dt>
<dt id="index-plotmatrix-2">: <em></em> <strong>plotmatrix</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-plotmatrix-3">: <em></em> <strong>plotmatrix</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-plotmatrix-4">: <em>[<var>h</var>, <var>ax</var>, <var>bigax</var>, <var>p</var>, <var>pax</var>] =</em> <strong>plotmatrix</strong> <em>(…)</em></dt>
<dd><p>Scatter plot of the columns of one matrix against another.
</p>
<p>Given the arguments <var>x</var> and <var>y</var> that have a matching number of
rows, <code>plotmatrix</code> plots a set of axes corresponding to
</p>
<div class="example">
<pre class="example">plot (<var>x</var>(:, i), <var>y</var>(:, j))
</pre></div>
<p>When called with a single argument <var>x</var> this is equivalent to
</p>
<div class="example">
<pre class="example">plotmatrix (<var>x</var>, <var>x</var>)
</pre></div>
<p>except that the diagonal of the set of axes will be replaced with the
histogram <code>hist (<var>x</var>(:, i))</code>.
</p>
<p>The marker to use can be changed with the <var>style</var> argument, that is a
string defining a marker in the same manner as the <code>plot</code> command.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> provides handles to the individual
graphics objects in the scatter plots, whereas <var>ax</var> returns the
handles to the scatter plot axes objects.
</p>
<p><var>bigax</var> is a hidden axes object that surrounds the other axes, such
that the commands <code>xlabel</code>, <code>title</code>, etc., will be associated
with this hidden axes.
</p>
<p>Finally, <var>p</var> returns the graphics objects associated with the histogram
and <var>pax</var> the corresponding axes objects.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">plotmatrix (randn (100, 3), "g+")
</pre></div>
<p><strong>See also:</strong> <a href="#XREFscatter">scatter</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFpareto"></span><dl>
<dt id="index-pareto">: <em></em> <strong>pareto</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-pareto-1">: <em></em> <strong>pareto</strong> <em>(<var>y</var>, <var>x</var>)</em></dt>
<dt id="index-pareto-2">: <em></em> <strong>pareto</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-pareto-3">: <em><var>h</var> =</em> <strong>pareto</strong> <em>(…)</em></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>y</var> is present in which case
<var>x</var> is taken to be the range <code>1 : length (<var>y</var>)</code>. If <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>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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>pareto</code> is
</p>
<div class="example">
<pre class="example">Cheese = {"Cheddar", "Swiss", "Camembert", ...
"Munster", "Stilton", "Blue"};
Sold = [105, 30, 70, 10, 15, 20];
pareto (Sold, Cheese);
</pre></div>
<p><strong>See also:</strong> <a href="#XREFbar">bar</a>, <a href="#XREFbarh">barh</a>, <a href="#XREFhist">hist</a>, <a href="#XREFpie">pie</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFrose"></span><dl>
<dt id="index-rose">: <em></em> <strong>rose</strong> <em>(<var>th</var>)</em></dt>
<dt id="index-rose-1">: <em></em> <strong>rose</strong> <em>(<var>th</var>, <var>nbins</var>)</em></dt>
<dt id="index-rose-2">: <em></em> <strong>rose</strong> <em>(<var>th</var>, <var>bins</var>)</em></dt>
<dt id="index-rose-3">: <em></em> <strong>rose</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-rose-4">: <em><var>h</var> =</em> <strong>rose</strong> <em>(…)</em></dt>
<dt id="index-rose-5">: <em>[<var>thout</var> <var>rout</var>] =</em> <strong>rose</strong> <em>(…)</em></dt>
<dd><p>Plot an angular histogram.
</p>
<p>With one vector argument, <var>th</var>, plot the histogram with 20 angular bins.
If <var>th</var> is a matrix then each column of <var>th</var> produces a separate
histogram.
</p>
<p>If <var>nbins</var> is given and is a scalar, then the histogram is produced with
<var>nbin</var> bins. If <var>bins</var> is a vector, then the center of each bin is
defined by the values in <var>bins</var> and the number of bins is
given by the number of elements in <var>bins</var>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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">
<pre class="example">[th, r] = rose ([2*randn(1e5,1), pi + 2*randn(1e5,1)]);
polar (th, r);
</pre></div>
<p>Programming Note: When specifying bin centers with the <var>bins</var> input,
the edges for bins 2 to N-1 are spaced so that <code><var>bins</var>(i)</code> is
centered between the edges. The final edge is drawn halfway between bin N
and bin 1. This guarantees that all input <var>th</var> will be placed into one
of the bins, but also means that for some combinations bin 1 and bin N may
not be centered on the user’s given values.
</p>
<p><strong>See also:</strong> <a href="#XREFhist">hist</a>, <a href="#XREFpolar">polar</a>.
</p></dd></dl>
<p>The <code>contour</code>, <code>contourf</code> and <code>contourc</code> functions
produce two-dimensional contour plots from three-dimensional data.
</p>
<span id="XREFcontour"></span><dl>
<dt id="index-contour">: <em></em> <strong>contour</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-contour-1">: <em></em> <strong>contour</strong> <em>(<var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contour-2">: <em></em> <strong>contour</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-contour-3">: <em></em> <strong>contour</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contour-4">: <em></em> <strong>contour</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-contour-5">: <em></em> <strong>contour</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-contour-6">: <em>[<var>c</var>, <var>h</var>] =</em> <strong>contour</strong> <em>(…)</em></dt>
<dd><p>Create a 2-D contour plot.
</p>
<p>Plot level curves (contour lines) of the matrix <var>z</var>, using the
contour matrix <var>c</var> computed by <code>contourc</code> from the same
arguments; see the latter for their interpretation.
</p>
<p>The appearance of contour lines can be defined with a line style <var>style</var>
in the same manner as <code>plot</code>. Only line style and color are used;
Any markers defined by <var>style</var> are ignored.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional output <var>c</var> contains the contour levels in <code>contourc</code>
format.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the hggroup
comprising the contour lines.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">x = 0:3;
y = 0:2;
z = y' * x;
contour (x, y, z, 2:3)
</pre></div>
<p><strong>See also:</strong> <a href="Two_002ddimensional-Function-Plotting.html#XREFezcontour">ezcontour</a>, <a href="#XREFcontourc">contourc</a>, <a href="#XREFcontourf">contourf</a>, <a href="#XREFcontour3">contour3</a>, <a href="Plot-Annotations.html#XREFclabel">clabel</a>, <a href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a href="Axis-Configuration.html#XREFcaxis">caxis</a>, <a href="Representing-Images.html#XREFcolormap">colormap</a>, <a href="#XREFplot">plot</a>.
</p>
</dd></dl>
<span id="XREFcontourf"></span><dl>
<dt id="index-contourf">: <em></em> <strong>contourf</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-contourf-1">: <em></em> <strong>contourf</strong> <em>(<var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contourf-2">: <em></em> <strong>contourf</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-contourf-3">: <em></em> <strong>contourf</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contourf-4">: <em></em> <strong>contourf</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-contourf-5">: <em></em> <strong>contourf</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-contourf-6">: <em>[<var>c</var>, <var>h</var>] =</em> <strong>contourf</strong> <em>(…)</em></dt>
<dd><p>Create a 2-D contour plot with filled intervals.
</p>
<p>Plot level curves (contour lines) of the matrix <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>c</var> computed by
<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>style</var>
in the same manner as <code>plot</code>. Only line style and color are used;
Any markers defined by <var>style</var> are ignored.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional output <var>c</var> contains the contour levels in <code>contourc</code>
format.
</p>
<p>The optional return value <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>peaks</code> function.
</p>
<div class="example">
<pre class="example">[x, y, z] = peaks (50);
contourf (x, y, z, -7:9)
</pre></div>
<p><strong>See also:</strong> <a href="Two_002ddimensional-Function-Plotting.html#XREFezcontourf">ezcontourf</a>, <a href="#XREFcontour">contour</a>, <a href="#XREFcontourc">contourc</a>, <a href="#XREFcontour3">contour3</a>, <a href="Plot-Annotations.html#XREFclabel">clabel</a>, <a href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a href="Axis-Configuration.html#XREFcaxis">caxis</a>, <a href="Representing-Images.html#XREFcolormap">colormap</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFcontourc"></span><dl>
<dt id="index-contourc">: <em>[<var>c</var>, <var>lev</var>] =</em> <strong>contourc</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-contourc-1">: <em>[<var>c</var>, <var>lev</var>] =</em> <strong>contourc</strong> <em>(<var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contourc-2">: <em>[<var>c</var>, <var>lev</var>] =</em> <strong>contourc</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-contourc-3">: <em>[<var>c</var>, <var>lev</var>] =</em> <strong>contourc</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>vn</var>)</em></dt>
<dd><p>Compute contour lines (isolines of constant Z value).
</p>
<p>The matrix <var>z</var> contains height values above the rectangular grid
determined by <var>x</var> and <var>y</var>. If only a single input <var>z</var> is
provided then <var>x</var> is taken to be <code>1:columns (<var>z</var>)</code> and <var>y</var>
is taken to be <code>1:rows (<var>z</var>)</code>. The minimum data size is 2x2.
</p>
<p>The optional input <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>vn</var> is a vector the number of contour lines
is <code>numel (<var>vn</var>)</code>. However, to compute a single contour line
at a given value use <code><var>vn</var> = [val, val]</code>. If <var>vn</var> is omitted
it defaults to 10.
</p>
<p>The return value <var>c</var> is a 2x<var>n</var> matrix containing the
contour lines in the following format
</p>
<div class="example">
<pre class="example"><var>c</var> = [lev1, x1, x2, …, levn, x1, x2, ...
len1, y1, y2, …, lenn, y1, y2, …]
</pre></div>
<p>in which contour line <var>n</var> has a level (height) of <var>levn</var> and
length of <var>lenn</var>.
</p>
<p>The optional return value <var>lev</var> is a vector with the Z values of
the contour levels.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">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>
<p><strong>See also:</strong> <a href="#XREFcontour">contour</a>, <a href="#XREFcontourf">contourf</a>, <a href="#XREFcontour3">contour3</a>, <a href="Plot-Annotations.html#XREFclabel">clabel</a>.
</p></dd></dl>
<span id="XREFcontour3"></span><dl>
<dt id="index-contour3">: <em></em> <strong>contour3</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-contour3-1">: <em></em> <strong>contour3</strong> <em>(<var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contour3-2">: <em></em> <strong>contour3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-contour3-3">: <em></em> <strong>contour3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>vn</var>)</em></dt>
<dt id="index-contour3-4">: <em></em> <strong>contour3</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-contour3-5">: <em></em> <strong>contour3</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-contour3-6">: <em>[<var>c</var>, <var>h</var>] =</em> <strong>contour3</strong> <em>(…)</em></dt>
<dd><p>Create a 3-D contour plot.
</p>
<p><code>contour3</code> plots level curves (contour lines) of the matrix <var>z</var>
at a Z level corresponding to each contour. This is in contrast to
<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>c</var> computed by
<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>style</var>
in the same manner as <code>plot</code>. Only line style and color are used;
Any markers defined by <var>style</var> are ignored.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional output <var>c</var> are the contour levels in <code>contourc</code>
format.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the hggroup
comprising the contour lines.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">contour3 (peaks (19));
colormap cool;
hold on;
surf (peaks (19), "facecolor", "none", "edgecolor", "black");
</pre></div>
<p><strong>See also:</strong> <a href="#XREFcontour">contour</a>, <a href="#XREFcontourc">contourc</a>, <a href="#XREFcontourf">contourf</a>, <a href="Plot-Annotations.html#XREFclabel">clabel</a>, <a href="Three_002dDimensional-Plots.html#XREFmeshc">meshc</a>, <a href="Three_002dDimensional-Plots.html#XREFsurfc">surfc</a>, <a href="Axis-Configuration.html#XREFcaxis">caxis</a>, <a href="Representing-Images.html#XREFcolormap">colormap</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<p>The <code>errorbar</code>, <code>semilogxerr</code>, <code>semilogyerr</code>, and
<code>loglogerr</code> functions produce plots with error bar markers. For
example,
</p>
<div class="example">
<pre class="example">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>
<p>produces the figure shown in <a href="#fig_003aerrorbar">Figure 15.3</a>.
</p>
<div class="float"><span id="fig_003aerrorbar"></span>
<div align="center"><img src="errorbar.png" alt="errorbar">
</div>
<div class="float-caption"><p><strong>Figure 15.3: </strong>Errorbar plot.</p></div></div>
<span id="XREFerrorbar"></span><dl>
<dt id="index-errorbar">: <em></em> <strong>errorbar</strong> <em>(<var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-errorbar-1">: <em></em> <strong>errorbar</strong> <em>(<var>y</var>, …, <var>fmt</var>)</em></dt>
<dt id="index-errorbar-2">: <em></em> <strong>errorbar</strong> <em>(<var>x</var>, <var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-errorbar-3">: <em></em> <strong>errorbar</strong> <em>(<var>x</var>, <var>y</var>, <var>err</var>, <var>fmt</var>)</em></dt>
<dt id="index-errorbar-4">: <em></em> <strong>errorbar</strong> <em>(<var>x</var>, <var>y</var>, <var>lerr</var>, <var>uerr</var>, <var>fmt</var>)</em></dt>
<dt id="index-errorbar-5">: <em></em> <strong>errorbar</strong> <em>(<var>x</var>, <var>y</var>, <var>ex</var>, <var>ey</var>, <var>fmt</var>)</em></dt>
<dt id="index-errorbar-6">: <em></em> <strong>errorbar</strong> <em>(<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>, <var>ly</var>, <var>uy</var>, <var>fmt</var>)</em></dt>
<dt id="index-errorbar-7">: <em></em> <strong>errorbar</strong> <em>(<var>x1</var>, <var>y1</var>, …, <var>fmt</var>, <var>xn</var>, <var>yn</var>, …)</em></dt>
<dt id="index-errorbar-8">: <em></em> <strong>errorbar</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-errorbar-9">: <em><var>h</var> =</em> <strong>errorbar</strong> <em>(…)</em></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">errorbar (<var>y</var>, <var>ey</var>)
</pre></div>
<p>where the first argument is taken as the set of <var>y</var> coordinates, the
second argument <var>ey</var> are the errors around the <var>y</var> values, and the
<var>x</var> coordinates are taken to be the indices of the elements
(<code>1:numel (<var>y</var>)</code>).
</p>
<p>The general form of the function is
</p>
<div class="example">
<pre class="example">errorbar (<var>x</var>, <var>y</var>, <var>err1</var>, …, <var>fmt</var>, …)
</pre></div>
<p>After the <var>x</var> and <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>fmt</var>.
</p>
<dl compact="compact">
<dt><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>data</var>-<var>err</var> to
<var>data</var>+<var>err</var>.
The <var>fmt</var> argument determines whether <var>err</var> is in the x-direction,
y-direction (default), or both.
</p>
</dd>
<dt><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>data</var>(n)-<var>err</var>(n) to
<var>data</var>(n)+<var>err</var>(n).
</p>
</dd>
<dt><var>lerr</var>, <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>data</var>-<var>lerr</var> to
<var>data</var>+<var>uerr</var>.
</p>
</dd>
<dt><var>lerr</var>, <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>data</var>(n)-<var>lerr</var>(n) to <var>data</var>(n)+<var>uerr</var>(n).
</p></dd>
</dl>
<p>Any number of data sets (<var>x1</var>,<var>y1</var>, <var>x2</var>,<var>y2</var>, …) may
appear as long as they are separated by a format string <var>fmt</var>.
</p>
<p>If <var>y</var> is a matrix, <var>x</var> and the error parameters must also be
matrices having the same dimensions. The columns of <var>y</var> are plotted
versus the corresponding columns of <var>x</var> and errorbars are taken from
the corresponding columns of the error parameters.
</p>
<p>If <var>fmt</var> is missing, the yerrorbars ("~") plot style is assumed.
</p>
<p>If the <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>fmt</var> may include an errorbar style which <strong>must precede</strong> the
ordinary format codes. The following errorbar styles are supported:
</p>
<dl compact="compact">
<dt>‘<samp>~</samp>’</dt>
<dd><p>Set yerrorbars plot style (default).
</p>
</dd>
<dt>‘<samp>></samp>’</dt>
<dd><p>Set xerrorbars plot style.
</p>
</dd>
<dt>‘<samp>~></samp>’</dt>
<dd><p>Set xyerrorbars plot style.
</p>
</dd>
<dt>‘<samp>#~</samp>’</dt>
<dd><p>Set yboxes plot style.
</p>
</dd>
<dt>‘<samp>#</samp>’</dt>
<dd><p>Set xboxes plot style.
</p>
</dd>
<dt>‘<samp>#~></samp>’</dt>
<dd><p>Set xyboxes plot style.
</p></dd>
</dl>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a handle to the hggroup object
representing the data plot and errorbars.
</p>
<p>Note: For compatibility with <small>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>fmt</var> argument such as <code>"."</code>. Alternatively, remove the line
by modifying the returned graphic handle with
<code>set (h, "linestyle", "none")</code>.
</p>
<p>Examples:
</p>
<div class="example">
<pre class="example">errorbar (<var>x</var>, <var>y</var>, <var>ex</var>, ">.r")
</pre></div>
<p>produces an xerrorbar plot of <var>y</var> versus <var>x</var> with <var>x</var>
errorbars drawn from <var>x</var>-<var>ex</var> to <var>x</var>+<var>ex</var>. The marker
<code>"."</code> is used so no connecting line is drawn and the errorbars
appear in red.
</p>
<div class="example">
<pre class="example">errorbar (<var>x</var>, <var>y1</var>, <var>ey</var>, "~",
<var>x</var>, <var>y2</var>, <var>ly</var>, <var>uy</var>)
</pre></div>
<p>produces yerrorbar plots with <var>y1</var> and <var>y2</var> versus <var>x</var>.
Errorbars for <var>y1</var> are drawn from <var>y1</var>-<var>ey</var> to
<var>y1</var>+<var>ey</var>, errorbars for <var>y2</var> from <var>y2</var>-<var>ly</var> to
<var>y2</var>+<var>uy</var>.
</p>
<div class="example">
<pre class="example">errorbar (<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>,
<var>ly</var>, <var>uy</var>, "~>")
</pre></div>
<p>produces an xyerrorbar plot of <var>y</var> versus <var>x</var> in which
<var>x</var> errorbars are drawn from <var>x</var>-<var>lx</var> to <var>x</var>+<var>ux</var>
and <var>y</var> errorbars from <var>y</var>-<var>ly</var> to <var>y</var>+<var>uy</var>.
</p>
<p><strong>See also:</strong> <a href="#XREFsemilogxerr">semilogxerr</a>, <a href="#XREFsemilogyerr">semilogyerr</a>, <a href="#XREFloglogerr">loglogerr</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFsemilogxerr"></span><dl>
<dt id="index-semilogxerr">: <em></em> <strong>semilogxerr</strong> <em>(<var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-semilogxerr-1">: <em></em> <strong>semilogxerr</strong> <em>(<var>y</var>, …, <var>fmt</var>)</em></dt>
<dt id="index-semilogxerr-2">: <em></em> <strong>semilogxerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-semilogxerr-3">: <em></em> <strong>semilogxerr</strong> <em>(<var>x</var>, <var>y</var>, <var>err</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogxerr-4">: <em></em> <strong>semilogxerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lerr</var>, <var>uerr</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogxerr-5">: <em></em> <strong>semilogxerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ex</var>, <var>ey</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogxerr-6">: <em></em> <strong>semilogxerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>, <var>ly</var>, <var>uy</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogxerr-7">: <em></em> <strong>semilogxerr</strong> <em>(<var>x1</var>, <var>y1</var>, …, <var>fmt</var>, <var>xn</var>, <var>yn</var>, …)</em></dt>
<dt id="index-semilogxerr-8">: <em></em> <strong>semilogxerr</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-semilogxerr-9">: <em><var>h</var> =</em> <strong>semilogxerr</strong> <em>(…)</em></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">semilogxerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre></div>
<p>which produces a semi-logarithmic plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See <a href="#XREFerrorbar">errorbar</a>, for available
formats and additional information.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFerrorbar">errorbar</a>, <a href="#XREFsemilogyerr">semilogyerr</a>, <a href="#XREFloglogerr">loglogerr</a>.
</p></dd></dl>
<span id="XREFsemilogyerr"></span><dl>
<dt id="index-semilogyerr">: <em></em> <strong>semilogyerr</strong> <em>(<var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-semilogyerr-1">: <em></em> <strong>semilogyerr</strong> <em>(<var>y</var>, …, <var>fmt</var>)</em></dt>
<dt id="index-semilogyerr-2">: <em></em> <strong>semilogyerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-semilogyerr-3">: <em></em> <strong>semilogyerr</strong> <em>(<var>x</var>, <var>y</var>, <var>err</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogyerr-4">: <em></em> <strong>semilogyerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lerr</var>, <var>uerr</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogyerr-5">: <em></em> <strong>semilogyerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ex</var>, <var>ey</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogyerr-6">: <em></em> <strong>semilogyerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>, <var>ly</var>, <var>uy</var>, <var>fmt</var>)</em></dt>
<dt id="index-semilogyerr-7">: <em></em> <strong>semilogyerr</strong> <em>(<var>x1</var>, <var>y1</var>, …, <var>fmt</var>, <var>xn</var>, <var>yn</var>, …)</em></dt>
<dt id="index-semilogyerr-8">: <em></em> <strong>semilogyerr</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-semilogyerr-9">: <em><var>h</var> =</em> <strong>semilogyerr</strong> <em>(…)</em></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">semilogyerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre></div>
<p>which produces a semi-logarithmic plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See <a href="#XREFerrorbar">errorbar</a>, for available
formats and additional information.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFerrorbar">errorbar</a>, <a href="#XREFsemilogxerr">semilogxerr</a>, <a href="#XREFloglogerr">loglogerr</a>.
</p></dd></dl>
<span id="XREFloglogerr"></span><dl>
<dt id="index-loglogerr">: <em></em> <strong>loglogerr</strong> <em>(<var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-loglogerr-1">: <em></em> <strong>loglogerr</strong> <em>(<var>y</var>, …, <var>fmt</var>)</em></dt>
<dt id="index-loglogerr-2">: <em></em> <strong>loglogerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ey</var>)</em></dt>
<dt id="index-loglogerr-3">: <em></em> <strong>loglogerr</strong> <em>(<var>x</var>, <var>y</var>, <var>err</var>, <var>fmt</var>)</em></dt>
<dt id="index-loglogerr-4">: <em></em> <strong>loglogerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lerr</var>, <var>uerr</var>, <var>fmt</var>)</em></dt>
<dt id="index-loglogerr-5">: <em></em> <strong>loglogerr</strong> <em>(<var>x</var>, <var>y</var>, <var>ex</var>, <var>ey</var>, <var>fmt</var>)</em></dt>
<dt id="index-loglogerr-6">: <em></em> <strong>loglogerr</strong> <em>(<var>x</var>, <var>y</var>, <var>lx</var>, <var>ux</var>, <var>ly</var>, <var>uy</var>, <var>fmt</var>)</em></dt>
<dt id="index-loglogerr-7">: <em></em> <strong>loglogerr</strong> <em>(<var>x1</var>, <var>y1</var>, …, <var>fmt</var>, <var>xn</var>, <var>yn</var>, …)</em></dt>
<dt id="index-loglogerr-8">: <em></em> <strong>loglogerr</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-loglogerr-9">: <em><var>h</var> =</em> <strong>loglogerr</strong> <em>(…)</em></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">loglogerr (<var>x</var>, <var>y</var>, <var>ey</var>, <var>fmt</var>)
</pre></div>
<p>which produces a double logarithm plot of <var>y</var> versus <var>x</var>
with errors in the <var>y</var>-scale defined by <var>ey</var> and the plot
format defined by <var>fmt</var>. See <a href="#XREFerrorbar">errorbar</a>, for available
formats and additional information.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFerrorbar">errorbar</a>, <a href="#XREFsemilogxerr">semilogxerr</a>, <a href="#XREFsemilogyerr">semilogyerr</a>.
</p></dd></dl>
<p>Finally, the <code>polar</code> function allows you to easily plot data in
polar coordinates. However, the display coordinates remain rectangular
and linear. For example,
</p>
<div class="example">
<pre class="example">polar (0:0.1:10*pi, 0:0.1:10*pi);
title ("Example polar plot from 0 to 10*pi");
</pre></div>
<p>produces the spiral plot shown in <a href="#fig_003apolar">Figure 15.4</a>.
</p>
<div class="float"><span id="fig_003apolar"></span>
<div align="center"><img src="polar.png" alt="polar">
</div>
<div class="float-caption"><p><strong>Figure 15.4: </strong>Polar plot.</p></div></div>
<span id="XREFpolar"></span><dl>
<dt id="index-polar">: <em></em> <strong>polar</strong> <em>(<var>theta</var>, <var>rho</var>)</em></dt>
<dt id="index-polar-1">: <em></em> <strong>polar</strong> <em>(<var>theta</var>, <var>rho</var>, <var>fmt</var>)</em></dt>
<dt id="index-polar-2">: <em></em> <strong>polar</strong> <em>(<var>cplx</var>)</em></dt>
<dt id="index-polar-3">: <em></em> <strong>polar</strong> <em>(<var>cplx</var>, <var>fmt</var>)</em></dt>
<dt id="index-polar-4">: <em></em> <strong>polar</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-polar-5">: <em><var>h</var> =</em> <strong>polar</strong> <em>(…)</em></dt>
<dd><p>Create a 2-D plot from polar coordinates <var>theta</var> and <var>rho</var>.
</p>
<p>The input <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 href="Coordinate-Transformations.html#XREFcart2pol">cart2pol</a>) to radians before passing the data to this
function.
</p>
<p>If a single complex input <var>cplx</var> is given then the real part is used
for <var>theta</var> and the imaginary part is used for <var>rho</var>.
</p>
<p>The optional argument <var>fmt</var> specifies the line format in the same way
as <code>plot</code>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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>fontname</code>, will update the polar axis. Two new properties are
added to the original axes–<code>rtick</code>, <code>ttick</code>–which replace
<code>xtick</code>, <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>See also:</strong> <a href="#XREFrose">rose</a>, <a href="#XREFcompass">compass</a>, <a href="#XREFplot">plot</a>, <a href="Coordinate-Transformations.html#XREFcart2pol">cart2pol</a>.
</p></dd></dl>
<span id="XREFpie"></span><dl>
<dt id="index-pie">: <em></em> <strong>pie</strong> <em>(<var>x</var>)</em></dt>
<dt id="index-pie-1">: <em></em> <strong>pie</strong> <em>(…, <var>explode</var>)</em></dt>
<dt id="index-pie-2">: <em></em> <strong>pie</strong> <em>(…, <var>labels</var>)</em></dt>
<dt id="index-pie-3">: <em></em> <strong>pie</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-pie-4">: <em><var>h</var> =</em> <strong>pie</strong> <em>(…)</em></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>x</var>. The size of the ith slice is the percentage that the
element <var>x</var>i represents of the total sum of <var>x</var>:
<code>pct = <var>x</var>(i) / sum (<var>x</var>)</code>.
</p>
<p>The optional input <var>explode</var> is a vector of the same length as <var>x</var>
that, if nonzero, "explodes" the slice from the pie chart.
</p>
<p>The optional input <var>labels</var> is a cell array of strings of the same
length as <var>x</var> specifying the label for each slice.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a list of handles to the patch
and text objects generating the plot.
</p>
<p>Note: If <code>sum (<var>x</var>) ≤ 1</code> then the elements of <var>x</var> are
interpreted as percentages directly and are not normalized by <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>See also:</strong> <a href="#XREFpie3">pie3</a>, <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFrose">rose</a>.
</p></dd></dl>
<span id="XREFpie3"></span><dl>
<dt id="index-pie3">: <em></em> <strong>pie3</strong> <em>(<var>x</var>)</em></dt>
<dt id="index-pie3-1">: <em></em> <strong>pie3</strong> <em>(…, <var>explode</var>)</em></dt>
<dt id="index-pie3-2">: <em></em> <strong>pie3</strong> <em>(…, <var>labels</var>)</em></dt>
<dt id="index-pie3-3">: <em></em> <strong>pie3</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-pie3-4">: <em><var>h</var> =</em> <strong>pie3</strong> <em>(…)</em></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>x</var>. The size of the ith slice is the percentage that the
element <var>x</var>i represents of the total sum of <var>x</var>:
<code>pct = <var>x</var>(i) / sum (<var>x</var>)</code>.
</p>
<p>The optional input <var>explode</var> is a vector of the same length as <var>x</var>
that, if nonzero, "explodes" the slice from the pie chart.
</p>
<p>The optional input <var>labels</var> is a cell array of strings of the same
length as <var>x</var> specifying the label for each slice.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a list of graphics handles to the
patch, surface, and text objects generating the plot.
</p>
<p>Note: If <code>sum (<var>x</var>) ≤ 1</code> then the elements of <var>x</var> are
interpreted as percentages directly and are not normalized by <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>See also:</strong> <a href="#XREFpie">pie</a>, <a href="#XREFbar">bar</a>, <a href="#XREFhist">hist</a>, <a href="#XREFrose">rose</a>.
</p></dd></dl>
<span id="XREFquiver"></span><dl>
<dt id="index-quiver">: <em></em> <strong>quiver</strong> <em>(<var>u</var>, <var>v</var>)</em></dt>
<dt id="index-quiver-1">: <em></em> <strong>quiver</strong> <em>(<var>x</var>, <var>y</var>, <var>u</var>, <var>v</var>)</em></dt>
<dt id="index-quiver-2">: <em></em> <strong>quiver</strong> <em>(…, <var>s</var>)</em></dt>
<dt id="index-quiver-3">: <em></em> <strong>quiver</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-quiver-4">: <em></em> <strong>quiver</strong> <em>(…, "filled")</em></dt>
<dt id="index-quiver-5">: <em></em> <strong>quiver</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-quiver-6">: <em><var>h</var> =</em> <strong>quiver</strong> <em>(…)</em></dt>
<dd>
<p>Plot a 2-D vector field with arrows.
</p>
<p>Plot the (<var>u</var>, <var>v</var>) components of a vector field at the grid points
defined by (<var>x</var>, <var>y</var>). If the grid is uniform then <var>x</var> and
<var>y</var> can be specified as vectors and <code>meshgrid</code> is used to create
the 2-D grid.
</p>
<p>If <var>x</var> and <var>y</var> are not given they are assumed to be
<code>(1:<var>m</var>, 1:<var>n</var>)</code> where
<code>[<var>m</var>, <var>n</var>] = size (<var>u</var>)</code>.
</p>
<p>The optional input <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
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>style</var>
of the same format as the <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>x</var> and <var>y</var>). When a marker is specified, the
arrowhead is not drawn. If the argument <code>"filled"</code> is given then the
markers are filled.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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">
<pre class="example">[x, y] = meshgrid (1:2:20);
h = quiver (x, y, sin (2*pi*x/10), sin (2*pi*y/10));
set (h, "maxheadsize", 0.33);
</pre></div>
<p><strong>See also:</strong> <a href="#XREFquiver3">quiver3</a>, <a href="#XREFcompass">compass</a>, <a href="#XREFfeather">feather</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFquiver3"></span><dl>
<dt id="index-quiver3">: <em></em> <strong>quiver3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>)</em></dt>
<dt id="index-quiver3-1">: <em></em> <strong>quiver3</strong> <em>(<var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>)</em></dt>
<dt id="index-quiver3-2">: <em></em> <strong>quiver3</strong> <em>(…, <var>s</var>)</em></dt>
<dt id="index-quiver3-3">: <em></em> <strong>quiver3</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-quiver3-4">: <em></em> <strong>quiver3</strong> <em>(…, "filled")</em></dt>
<dt id="index-quiver3-5">: <em></em> <strong>quiver3</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-quiver3-6">: <em><var>h</var> =</em> <strong>quiver3</strong> <em>(…)</em></dt>
<dd>
<p>Plot a 3-D vector field with arrows.
</p>
<p>Plot the (<var>u</var>, <var>v</var>, <var>w</var>) components of a vector field at the
grid points defined by (<var>x</var>, <var>y</var>, <var>z</var>). If the grid is uniform
then <var>x</var>, <var>y</var>, and <var>z</var> can be specified as vectors and
<code>meshgrid</code> is used to create the 3-D grid.
</p>
<p>If <var>x</var> and <var>y</var> are not given they are assumed to be
<code>(1:<var>m</var>, 1:<var>n</var>)</code> where
<code>[<var>m</var>, <var>n</var>] = size (<var>u</var>)</code>.
</p>
<p>The optional input <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
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>style</var>
of the same format as the <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>x</var>, <var>y</var>, <var>z</var>). When a marker is specified,
the arrowhead is not drawn. If the argument <code>"filled"</code> is given then
the markers are filled.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <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">
<pre class="example">[x, y, z] = peaks (25);
surf (x, y, z);
hold on;
[u, v, w] = surfnorm (x, y, z / 10);
h = quiver3 (x, y, z, u, v, w);
set (h, "maxheadsize", 0.33);
</pre></div>
<p><strong>See also:</strong> <a href="#XREFquiver">quiver</a>, <a href="#XREFcompass">compass</a>, <a href="#XREFfeather">feather</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFstreamtube"></span><dl>
<dt id="index-streamtube">: <em></em> <strong>streamtube</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-streamtube-1">: <em></em> <strong>streamtube</strong> <em>(<var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-streamtube-2">: <em></em> <strong>streamtube</strong> <em>(<var>xyz</var>, <var>x</var>, <var>y</var>, <var>z</var>, <var>div</var>)</em></dt>
<dt id="index-streamtube-3">: <em></em> <strong>streamtube</strong> <em>(<var>xyz</var>, <var>div</var>)</em></dt>
<dt id="index-streamtube-4">: <em></em> <strong>streamtube</strong> <em>(<var>xyz</var>, <var>dia</var>)</em></dt>
<dt id="index-streamtube-5">: <em></em> <strong>streamtube</strong> <em>(…, <var>options</var>)</em></dt>
<dt id="index-streamtube-6">: <em></em> <strong>streamtube</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-streamtube-7">: <em><var>h</var> =</em> <strong>streamtube</strong> <em>(…)</em></dt>
<dd><p>Plot tubes scaled by the divergence along streamlines.
</p>
<p><code>streamtube</code> draws tubes whose diameter is scaled by the divergence of
a vector field. The vector field is given by
<code>[<var>u</var>, <var>v</var>, <var>w</var>]</code> and is defined over a rectangular grid
given by <code>[<var>x</var>, <var>y</var>, <var>z</var>]</code>. The tubes start at the
seed points <code>[<var>sx</var>, <var>sy</var>, <var>sz</var>]</code> and are plot along
streamlines.
</p>
<p><code>streamtube</code> can also be called with a cell array containing
pre-computed streamline data. To do this, <var>xyz</var> must be created with
the <code>stream3</code> command. <var>div</var> is used to scale the tubes.
In order to plot tubes scaled by the vector field divergence, <var>div</var>
must be calculated with the <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>xyz</var>. The tube diameter can be specified by the vertex array <var>dia</var>
or by a constant.
</p>
<p>The input parameter <var>options</var> is a 2-D vector of the form
<code>[<var>scale</var>, <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>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the plot objects
created for each tube.
</p>
<p><strong>See also:</strong> <a href="#XREFstream3">stream3</a>, <a href="#XREFstreamline">streamline</a>, <a href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<span id="XREFostreamtube"></span><dl>
<dt id="index-ostreamtube">: <em></em> <strong>ostreamtube</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-ostreamtube-1">: <em></em> <strong>ostreamtube</strong> <em>(<var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-ostreamtube-2">: <em></em> <strong>ostreamtube</strong> <em>(<var>xyz</var>, <var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>)</em></dt>
<dt id="index-ostreamtube-3">: <em></em> <strong>ostreamtube</strong> <em>(…, <var>options</var>)</em></dt>
<dt id="index-ostreamtube-4">: <em></em> <strong>ostreamtube</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-ostreamtube-5">: <em><var>h</var> =</em> <strong>ostreamtube</strong> <em>(…)</em></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>[<var>u</var>, <var>v</var>, <var>w</var>]</code> and is
defined over a rectangular grid given by <code>[<var>x</var>, <var>y</var>, <var>z</var>]</code>.
The streamtubes start at the seed points
<code>[<var>sx</var>, <var>sy</var>, <var>sz</var>]</code>.
</p>
<p>The tubes are colored based on the local vector field strength.
</p>
<p>The input parameter <var>options</var> is a 2-D vector of the form
<code>[<var>scale</var>, <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>ostreamtube</code> can be called with a cell array containing pre-computed
streamline data. To do this, <var>xyz</var> must be created with the
<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>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the plot
objects created for each streamtube.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">[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>
<p><strong>See also:</strong> <a href="#XREFstream3">stream3</a>, <a href="#XREFstreamline">streamline</a>, <a href="#XREFstreamtube">streamtube</a>.
</p></dd></dl>
<span id="XREFstreamline"></span><dl>
<dt id="index-streamline">: <em></em> <strong>streamline</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-streamline-1">: <em></em> <strong>streamline</strong> <em>(<var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-streamline-2">: <em></em> <strong>streamline</strong> <em>(…, <var>options</var>)</em></dt>
<dt id="index-streamline-3">: <em></em> <strong>streamline</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-streamline-4">: <em><var>h</var> =</em> <strong>streamline</strong> <em>(…)</em></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>[<var>u</var>, <var>v</var>]</code> or <code>[<var>u</var>, <var>v</var>, <var>w</var>]</code>. The vector
field is defined over a rectangular grid given by <code>[<var>x</var>, <var>y</var>]</code>
or <code>[<var>x</var>, <var>y</var>, <var>z</var>]</code>. The streamlines start at the seed
points <code>[<var>sx</var>, <var>sy</var>]</code> or <code>[<var>sx</var>, <var>sy</var>, <var>sz</var>]</code>.
</p>
<p>The input parameter <var>options</var> is a 2-D vector of the form
<code>[<var>stepsize</var>, <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>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the hggroup
comprising the field lines.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">[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>
<p><strong>See also:</strong> <a href="#XREFstream2">stream2</a>, <a href="#XREFstream3">stream3</a>, <a href="#XREFstreamtube">streamtube</a>, <a href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<span id="XREFstream2"></span><dl>
<dt id="index-stream2">: <em><var>xy</var> =</em> <strong>stream2</strong> <em>(<var>x</var>, <var>y</var>, <var>u</var>, <var>v</var>, <var>sx</var>, <var>sy</var>)</em></dt>
<dt id="index-stream2-1">: <em><var>xy</var> =</em> <strong>stream2</strong> <em>(<var>u</var>, <var>v</var>, <var>sx</var>, <var>sy</var>)</em></dt>
<dt id="index-stream2-2">: <em><var>xy</var> =</em> <strong>stream2</strong> <em>(…, <var>options</var>)</em></dt>
<dd><p>Compute 2-D streamline data.
</p>
<p>Calculates streamlines of a vector field given by <code>[<var>u</var>, <var>v</var>]</code>.
The vector field is defined over a rectangular grid given by
<code>[<var>x</var>, <var>y</var>]</code>. The streamlines start at the seed points
<code>[<var>sx</var>, <var>sy</var>]</code>. The returned value <var>xy</var> contains a cell
array of vertex arrays. If the starting point is outside the vector field,
<code>[]</code> is returned.
</p>
<p>The input parameter <var>options</var> is a 2-D vector of the form
<code>[<var>stepsize</var>, <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>xy</var> is a nverts x 2 matrix containing the
coordinates of the field line segments.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">[x, y] = meshgrid (0:3);
u = 2 * x;
v = y;
xy = stream2 (x, y, u, v, 1.0, 0.5);
</pre></div>
<p><strong>See also:</strong> <a href="#XREFstreamline">streamline</a>, <a href="#XREFstream3">stream3</a>.
</p></dd></dl>
<span id="XREFstream3"></span><dl>
<dt id="index-stream3">: <em><var>xyz</var> =</em> <strong>stream3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-stream3-1">: <em><var>xyz</var> =</em> <strong>stream3</strong> <em>(<var>u</var>, <var>v</var>, <var>w</var>, <var>sx</var>, <var>sy</var>, <var>sz</var>)</em></dt>
<dt id="index-stream3-2">: <em><var>xyz</var> =</em> <strong>stream3</strong> <em>(…, <var>options</var>)</em></dt>
<dd><p>Compute 3-D streamline data.
</p>
<p>Calculate streamlines of a vector field given by <code>[<var>u</var>, <var>v</var>,
<var>w</var>]</code>. The vector field is defined over a rectangular grid given by
<code>[<var>x</var>, <var>y</var>, <var>z</var>]</code>. The streamlines start at the seed
points <code>[<var>sx</var>, <var>sy</var>, <var>sz</var>]</code>. The returned value <var>xyz</var>
contains a cell array of vertex arrays. If the starting point is outside
the vector field, <code>[]</code> is returned.
</p>
<p>The input parameter <var>options</var> is a 2-D vector of the form
<code>[<var>stepsize</var>, <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>xyz</var> is a nverts x 3 matrix containing the
coordinates of the field line segments.
</p>
<p>Example:
</p>
<div class="example">
<pre class="example">[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>
<p><strong>See also:</strong> <a href="#XREFstream2">stream2</a>, <a href="#XREFstreamline">streamline</a>, <a href="#XREFstreamtube">streamtube</a>, <a href="#XREFostreamtube">ostreamtube</a>.
</p></dd></dl>
<span id="XREFcompass"></span><dl>
<dt id="index-compass">: <em></em> <strong>compass</strong> <em>(<var>u</var>, <var>v</var>)</em></dt>
<dt id="index-compass-1">: <em></em> <strong>compass</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-compass-2">: <em></em> <strong>compass</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-compass-3">: <em></em> <strong>compass</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-compass-4">: <em><var>h</var> =</em> <strong>compass</strong> <em>(…)</em></dt>
<dd>
<p>Plot the <code>(<var>u</var>, <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>u</var>(i), <var>v</var>(i)]. If a single complex argument <var>z</var> is given,
then <code><var>u</var> = real (<var>z</var>)</code> and <code><var>v</var> = imag (<var>z</var>)</code>.
</p>
<p>The style to use for the plot can be defined with a line style <var>style</var>
of the same format as the <code>plot</code> command.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a vector of graphics handles to the
line objects representing the drawn vectors.
</p>
<div class="example">
<pre class="example">a = toeplitz ([1;randn(9,1)], [1,randn(1,9)]);
compass (eig (a));
</pre></div>
<p><strong>See also:</strong> <a href="#XREFpolar">polar</a>, <a href="#XREFfeather">feather</a>, <a href="#XREFquiver">quiver</a>, <a href="#XREFrose">rose</a>, <a href="#XREFplot">plot</a>.
</p></dd></dl>
<span id="XREFfeather"></span><dl>
<dt id="index-feather">: <em></em> <strong>feather</strong> <em>(<var>u</var>, <var>v</var>)</em></dt>
<dt id="index-feather-1">: <em></em> <strong>feather</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-feather-2">: <em></em> <strong>feather</strong> <em>(…, <var>style</var>)</em></dt>
<dt id="index-feather-3">: <em></em> <strong>feather</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-feather-4">: <em><var>h</var> =</em> <strong>feather</strong> <em>(…)</em></dt>
<dd>
<p>Plot the <code>(<var>u</var>, <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>z</var> is given, then
<code><var>u</var> = real (<var>z</var>)</code> and <code><var>v</var> = imag (<var>z</var>)</code>.
</p>
<p>The style to use for the plot can be defined with a line style <var>style</var>
of the same format as the <code>plot</code> command.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a vector of graphics handles to the
line objects representing the drawn vectors.
</p>
<div class="example">
<pre class="example">phi = [0 : 15 : 360] * pi/180;
feather (sin (phi), cos (phi));
</pre></div>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="#XREFquiver">quiver</a>, <a href="#XREFcompass">compass</a>.
</p></dd></dl>
<span id="XREFpcolor"></span><dl>
<dt id="index-pcolor">: <em></em> <strong>pcolor</strong> <em>(<var>x</var>, <var>y</var>, <var>c</var>)</em></dt>
<dt id="index-pcolor-1">: <em></em> <strong>pcolor</strong> <em>(<var>c</var>)</em></dt>
<dt id="index-pcolor-2">: <em></em> <strong>pcolor</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-pcolor-3">: <em><var>h</var> =</em> <strong>pcolor</strong> <em>(…)</em></dt>
<dd><p>Produce a 2-D density plot.
</p>
<p>A <code>pcolor</code> plot draws rectangles with colors from the matrix <var>c</var>
over the two-dimensional region represented by the matrices <var>x</var> and
<var>y</var>. <var>x</var> and <var>y</var> are the coordinates of the mesh’s vertices
and are typically the output of <code>meshgrid</code>. If <var>x</var> and <var>y</var> are
vectors, then a typical vertex is (<var>x</var>(j), <var>y</var>(i), <var>c</var>(i,j)).
Thus, columns of <var>c</var> correspond to different <var>x</var> values and rows
of <var>c</var> correspond to different <var>y</var> values.
</p>
<p>The values in <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>caxis</code>, or by setting the <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>c</var> for each of the cell’s vertices; Contrast this with
<code>imagesc</code> which renders one cell for each element of <var>c</var>.
</p>
<p><code>shading</code> modifies an attribute determining the manner by which the
face color of each cell is interpolated from the values of <var>c</var>,
and the visibility of the cells’ edges. By default the attribute is
<code>"faceted"</code>, which renders a single color for each cell’s face with
the edge visible.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the created
surface object.
</p>
<p><strong>See also:</strong> <a href="Axis-Configuration.html#XREFcaxis">caxis</a>, <a href="Three_002dDimensional-Plots.html#XREFshading">shading</a>, <a href="Three_002dDimensional-Plots.html#XREFmeshgrid">meshgrid</a>, <a href="#XREFcontour">contour</a>, <a href="Displaying-Images.html#XREFimagesc">imagesc</a>.
</p></dd></dl>
<span id="XREFarea"></span><dl>
<dt id="index-area">: <em></em> <strong>area</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-area-1">: <em></em> <strong>area</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-area-2">: <em></em> <strong>area</strong> <em>(…, <var>lvl</var>)</em></dt>
<dt id="index-area-3">: <em></em> <strong>area</strong> <em>(…, <var>prop</var>, <var>val</var>, …)</em></dt>
<dt id="index-area-4">: <em></em> <strong>area</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-area-5">: <em><var>h</var> =</em> <strong>area</strong> <em>(…)</em></dt>
<dd><p>Area plot of the columns of <var>y</var>.
</p>
<p>This plot shows the contributions of each column value to the row sum.
It is functionally similar to <code>plot (<var>x</var>, cumsum (<var>y</var>, 2))</code>,
except that the area under the curve is shaded.
</p>
<p>If the <var>x</var> argument is omitted it defaults to <code>1:rows (<var>y</var>)</code>.
A value <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 href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a graphics handle to the hggroup
object comprising the area patch objects. The <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">
<pre class="example">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>
<p><strong>See also:</strong> <a href="#XREFplot">plot</a>, <a href="Graphics-Objects.html#XREFpatch">patch</a>.
</p></dd></dl>
<span id="XREFfill"></span><dl>
<dt id="index-fill">: <em></em> <strong>fill</strong> <em>(<var>x</var>, <var>y</var>, <var>c</var>)</em></dt>
<dt id="index-fill-1">: <em></em> <strong>fill</strong> <em>(<var>x1</var>, <var>y1</var>, <var>c1</var>, <var>x2</var>, <var>y2</var>, <var>c2</var>)</em></dt>
<dt id="index-fill-2">: <em></em> <strong>fill</strong> <em>(…, <var>prop</var>, <var>val</var>)</em></dt>
<dt id="index-fill-3">: <em></em> <strong>fill</strong> <em>(<var>hax</var>, …)</em></dt>
<dt id="index-fill-4">: <em><var>h</var> =</em> <strong>fill</strong> <em>(…)</em></dt>
<dd><p>Create one or more filled 2-D polygons.
</p>
<p>The inputs <var>x</var> and <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>fill</code> will close any open
polygons before plotting.
</p>
<p>The input <var>c</var> determines the color of the polygon. The simplest form
is a single color specification such as a <code>plot</code> format or an
RGB-triple. In this case the polygon(s) will have one unique color. If
<var>c</var> is a vector or matrix then the color data is first scaled using
<code>caxis</code> and then indexed into the current colormap. A row vector will
color each polygon (a column from matrices <var>x</var> and <var>y</var>) with a
single computed color. A matrix <var>c</var> of the same size as <var>x</var> and
<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 href="Patch-Properties.html">Patch Properties</a>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p>The optional return value <var>h</var> is a vector of graphics handles to
the created patch objects.
</p>
<p>Example: red square
</p>
<div class="example">
<pre class="example">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>
<p><strong>See also:</strong> <a href="Graphics-Objects.html#XREFpatch">patch</a>, <a href="Axis-Configuration.html#XREFcaxis">caxis</a>, <a href="Representing-Images.html#XREFcolormap">colormap</a>.
</p></dd></dl>
<span id="XREFcomet"></span><dl>
<dt id="index-comet">: <em></em> <strong>comet</strong> <em>(<var>y</var>)</em></dt>
<dt id="index-comet-1">: <em></em> <strong>comet</strong> <em>(<var>x</var>, <var>y</var>)</em></dt>
<dt id="index-comet-2">: <em></em> <strong>comet</strong> <em>(<var>x</var>, <var>y</var>, <var>p</var>)</em></dt>
<dt id="index-comet-3">: <em></em> <strong>comet</strong> <em>(<var>hax</var>, …)</em></dt>
<dd><p>Produce a simple comet style animation along the trajectory provided by
the input coordinate vectors (<var>x</var>, <var>y</var>).
</p>
<p>If <var>x</var> is not specified it defaults to the indices of <var>y</var>.
</p>
<p>The speed of the comet may be controlled by <var>p</var>, which represents the
time each point is displayed before moving to the next one. The default for
<var>p</var> is <code>5 / numel (<var>y</var>)</code>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFcomet3">comet3</a>.
</p></dd></dl>
<span id="XREFcomet3"></span><dl>
<dt id="index-comet3">: <em></em> <strong>comet3</strong> <em>(<var>z</var>)</em></dt>
<dt id="index-comet3-1">: <em></em> <strong>comet3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>)</em></dt>
<dt id="index-comet3-2">: <em></em> <strong>comet3</strong> <em>(<var>x</var>, <var>y</var>, <var>z</var>, <var>p</var>)</em></dt>
<dt id="index-comet3-3">: <em></em> <strong>comet3</strong> <em>(<var>hax</var>, …)</em></dt>
<dd><p>Produce a simple comet style animation along the trajectory provided by
the input coordinate vectors (<var>x</var>, <var>y</var>, <var>z</var>).
</p>
<p>If only <var>z</var> is specified then <var>x</var>, <var>y</var> default to the indices
of <var>z</var>.
</p>
<p>The speed of the comet may be controlled by <var>p</var>, which represents the
time each point is displayed before moving to the next one. The default for
<var>p</var> is <code>5 / numel (<var>z</var>)</code>.
</p>
<p>If the first argument <var>hax</var> is an axes handle, then plot into this axes,
rather than the current axes returned by <code>gca</code>.
</p>
<p><strong>See also:</strong> <a href="#XREFcomet">comet</a>.
</p></dd></dl>
<hr>
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<p>
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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