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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
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<title>Math: Gwyddion Library Reference Manual</title>
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<table class="navigation" id="top" width="100%" summary="Navigation header" cellpadding="2" cellspacing="5"><tr valign="middle">
<td width="100%" align="left" class="shortcuts">
<a href="#" class="shortcut">Top</a><span id="nav_description">  <span class="dim">|</span> 
                  <a href="#libgwyddion-Math.description" class="shortcut">Description</a></span>
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<div class="refentry">
<a name="libgwyddion-Math"></a><div class="titlepage"></div>
<div class="refnamediv"><table width="100%"><tr>
<td valign="top">
<h2><span class="refentrytitle"><a name="libgwyddion-Math.top_of_page"></a>Math</span></h2>
<p>Math — Mathematical utility functions</p>
</td>
<td class="gallery_image" valign="top" align="right"></td>
</tr></table></div>
<div class="refsect1">
<a name="libgwyddion-Math.functions"></a><h2>Functions</h2>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="functions_return">
<col class="functions_name">
</colgroup>
<tbody>
<tr>
<td class="define_keyword">#define</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#ROUND:CAPS" title="ROUND()">ROUND</a><span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="define_keyword">#define</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#GWY-ROUND:CAPS" title="GWY_ROUND()">GWY_ROUND</a><span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-humanize-numbers" title="gwy_math_humanize_numbers ()">gwy_math_humanize_numbers</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-is-in-polygon" title="gwy_math_is_in_polygon ()">gwy_math_is_in_polygon</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gint"><span class="returnvalue">gint</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-find-nearest-line" title="gwy_math_find_nearest_line ()">gwy_math_find_nearest_line</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gint"><span class="returnvalue">gint</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-find-nearest-point" title="gwy_math_find_nearest_point ()">gwy_math_find_nearest_point</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-lin-solve" title="gwy_math_lin_solve ()">gwy_math_lin_solve</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-lin-solve-rewrite" title="gwy_math_lin_solve_rewrite ()">gwy_math_lin_solve_rewrite</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-tridiag-solve-rewrite" title="gwy_math_tridiag_solve_rewrite ()">gwy_math_tridiag_solve_rewrite</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-fit-polynom" title="gwy_math_fit_polynom ()">gwy_math_fit_polynom</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-choleski-decompose" title="gwy_math_choleski_decompose ()">gwy_math_choleski_decompose</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<span class="returnvalue">void</span>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-choleski-solve" title="gwy_math_choleski_solve ()">gwy_math_choleski_solve</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#guint"><span class="returnvalue">guint</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-curvature" title="gwy_math_curvature ()">gwy_math_curvature</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-refine-maximum" title="gwy_math_refine_maximum ()">gwy_math_refine_maximum</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-median" title="gwy_math_median ()">gwy_math_median</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<span class="returnvalue">void</span>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-sort" title="gwy_math_sort ()">gwy_math_sort</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-math-median-uncertainty" title="gwy_math_median_uncertainty ()">gwy_math_median_uncertainty</a> <span class="c_punctuation">()</span>
</td>
</tr>
<tr>
<td class="function_type">
<a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
</td>
<td class="function_name">
<a class="link" href="libgwyddion-Math.html#gwy-xlnx-int" title="gwy_xlnx_int ()">gwy_xlnx_int</a> <span class="c_punctuation">()</span>
</td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.other"></a><h2>Types and Values</h2>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="name">
<col class="description">
</colgroup>
<tbody>
<tr>
<td class="define_keyword">#define</td>
<td class="function_name"><a class="link" href="libgwyddion-Math.html#GWY-SQRT3:CAPS" title="GWY_SQRT3">GWY_SQRT3</a></td>
</tr>
<tr>
<td class="define_keyword">#define</td>
<td class="function_name"><a class="link" href="libgwyddion-Math.html#GWY-SQRT-PI:CAPS" title="GWY_SQRT_PI">GWY_SQRT_PI</a></td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.includes"></a><h2>Includes</h2>
<pre class="synopsis">#include &lt;libgwyddion/gwyddion.h&gt;
</pre>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.description"></a><h2>Description</h2>
<p>Functions <code class="function">gwy_math_SI_prefix()</code> and <a class="link" href="libgwyddion-Math.html#gwy-math-humanize-numbers" title="gwy_math_humanize_numbers ()"><code class="function">gwy_math_humanize_numbers()</code></a> deal with
number representation.</p>
<p>Nearest object finding functions <a class="link" href="libgwyddion-Math.html#gwy-math-find-nearest-line" title="gwy_math_find_nearest_line ()"><code class="function">gwy_math_find_nearest_line()</code></a> and
<a class="link" href="libgwyddion-Math.html#gwy-math-find-nearest-point" title="gwy_math_find_nearest_point ()"><code class="function">gwy_math_find_nearest_point()</code></a> can be useful in widget and vector layer
implementation.</p>
<p>And <a class="link" href="libgwyddion-Math.html#gwy-math-lin-solve" title="gwy_math_lin_solve ()"><code class="function">gwy_math_lin_solve()</code></a>, <a class="link" href="libgwyddion-Math.html#gwy-math-lin-solve-rewrite" title="gwy_math_lin_solve_rewrite ()"><code class="function">gwy_math_lin_solve_rewrite()</code></a>, and
<a class="link" href="libgwyddion-Math.html#gwy-math-fit-polynom" title="gwy_math_fit_polynom ()"><code class="function">gwy_math_fit_polynom()</code></a> are general purpose numeric methods.</p>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.functions_details"></a><h2>Functions</h2>
<div class="refsect2">
<a name="ROUND:CAPS"></a><h3>ROUND()</h3>
<pre class="programlisting">#define ROUND(x) ((gint)floor((x) + 0.5))
</pre>
<div class="warning"><p><code class="literal">ROUND</code> is deprecated and should not be used in newly-written code.</p></div>
<p>Rounds a number to nearest integer.  Use <a class="link" href="libgwyddion-Math.html#GWY-ROUND:CAPS" title="GWY_ROUND()"><code class="literal">GWY_ROUND</code></a> instead.</p>
<div class="refsect3">
<a name="id-1.9.7.2.6"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody><tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>A double value.</p></td>
<td class="parameter_annotations"> </td>
</tr></tbody>
</table></div>
</div>
</div>
<hr>
<div class="refsect2">
<a name="GWY-ROUND:CAPS"></a><h3>GWY_ROUND()</h3>
<pre class="programlisting">#define GWY_ROUND(x) ((gint)floor((x) + 0.5))
</pre>
<p>Rounds a number to nearest integer.</p>
<div class="refsect3">
<a name="id-1.9.7.3.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody><tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>A double value.</p></td>
<td class="parameter_annotations"> </td>
</tr></tbody>
</table></div>
</div>
<p class="since">Since: <a class="link" href="api-index-2-5.html#api-index-2.5">2.5</a></p>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-humanize-numbers"></a><h3>gwy_math_humanize_numbers ()</h3>
<pre class="programlisting"><a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
gwy_math_humanize_numbers (<em class="parameter"><code><a href="http://developer.gnome.org/doc/API/2.0/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> unit</code></em>,
                           <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> maximum</code></em>,
                           <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> *precision</code></em>);</pre>
<p>Finds a human-friendly representation for a range of numbers.</p>
<div class="refsect3">
<a name="id-1.9.7.4.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>unit</p></td>
<td class="parameter_description"><p>The smallest possible step.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>maximum</p></td>
<td class="parameter_description"><p>The maximum possible value.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>precision</p></td>
<td class="parameter_description"><p>A location to store <code class="function">printf()</code> precession, if not <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.4.6"></a><h4>Returns</h4>
<p> The magnitude i.e., a power of 1000.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-is-in-polygon"></a><h3>gwy_math_is_in_polygon ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
gwy_math_is_in_polygon (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> x</code></em>,
                        <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> y</code></em>,
                        <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *poly</code></em>,
                        <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#guint"><span class="type">guint</span></a> n</code></em>);</pre>
<p>Establishes wether the test point <em class="parameter"><code>x</code></em>
, <em class="parameter"><code>y</code></em>
 is inside the polygon <em class="parameter"><code>poly</code></em>
.
The polygon can be defined either clockwise or anti-clockwise and
can be a concave, convex or self-intersecting polygon.</p>
<div class="warning"> Result can be either TRUE or FALSE if the test point
is *exactly* on an edge. </div>
<div class="refsect3">
<a name="id-1.9.7.5.6"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>The x coordinate of the test point.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>y</p></td>
<td class="parameter_description"><p>The y coordinate of the test point.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>poly</p></td>
<td class="parameter_description"><p>An array of coordinate pairs (points) that define a
polygon.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The number of corners of the polygon.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.5.7"></a><h4>Returns</h4>
<p> <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#TRUE:CAPS"><code class="literal">TRUE</code></a> if the test point is inside poly and <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#FALSE:CAPS"><code class="literal">FALSE</code></a> otherwise.</p>
</div>
<p class="since">Since: <a class="link" href="api-index-2-7.html#api-index-2.7">2.7</a></p>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-find-nearest-line"></a><h3>gwy_math_find_nearest_line ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="returnvalue">gint</span></a>
gwy_math_find_nearest_line (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> x</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> y</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *d2min</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                            <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *coords</code></em>,
                            <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *metric</code></em>);</pre>
<p>Finds the line from <em class="parameter"><code>coords</code></em>
 nearest to the point (<em class="parameter"><code>x</code></em>
, <em class="parameter"><code>y</code></em>
).</p>
<div class="refsect3">
<a name="id-1.9.7.6.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>X-coordinate of the point to search.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>y</p></td>
<td class="parameter_description"><p>Y-coordinate of the point to search.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>d2min</p></td>
<td class="parameter_description"><p>Where to store the squared minimal distance, or <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The number of lines (i.e. <em class="parameter"><code>coords</code></em>
has 4<em class="parameter"><code>n</code></em>
items).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>coords</p></td>
<td class="parameter_description"><p>Line coordinates stored as x00, y00, x01, y01, x10, y10, etc.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>metric</p></td>
<td class="parameter_description"><p>Metric matrix (2x2, but stored sequentially by rows: m11, m12,
m21, m22), it must be positive definite.  Vector norm is then
calculated as m11*x*x + (m12 + m21)*x*y + m22*y*y.
It can be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>, standard Euclidean metric is then used.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.6.6"></a><h4>Returns</h4>
<p> The line number. It may return -1 if (<em class="parameter"><code>x</code></em>
, <em class="parameter"><code>y</code></em>
) doesn't lie
in the orthogonal stripe of any of the lines.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-find-nearest-point"></a><h3>gwy_math_find_nearest_point ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="returnvalue">gint</span></a>
gwy_math_find_nearest_point (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> x</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> y</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *d2min</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                             <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *coords</code></em>,
                             <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *metric</code></em>);</pre>
<p>Finds the point from <em class="parameter"><code>coords</code></em>
 nearest to the point (<em class="parameter"><code>x</code></em>
, <em class="parameter"><code>y</code></em>
).</p>
<div class="refsect3">
<a name="id-1.9.7.7.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>X-coordinate of the point to search.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>y</p></td>
<td class="parameter_description"><p>Y-coordinate of the point to search.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>d2min</p></td>
<td class="parameter_description"><p>Location to store the squared minimal distance to, or <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The number of points (i.e. <em class="parameter"><code>coords</code></em>
has 2<em class="parameter"><code>n</code></em>
items).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>coords</p></td>
<td class="parameter_description"><p>Point coordinates stored as x0, y0, x1, y1, x2, y2, etc.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>metric</p></td>
<td class="parameter_description"><p>Metric matrix (2x2, but stored sequentially by rows: m11, m12,
m21, m22).  Vector norm is then calculated as
m11*x*x + (m12 + m21)*x*y + m22*y*y.
It can be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>, standard Euclidean metric is then used.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.7.6"></a><h4>Returns</h4>
<p> The point number.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-lin-solve"></a><h3>gwy_math_lin_solve ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
gwy_math_lin_solve (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                    <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *matrix</code></em>,
                    <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *rhs</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *result</code></em>);</pre>
<p>Solve a regular system of linear equations.</p>
<div class="refsect3">
<a name="id-1.9.7.8.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The size of the system.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>matrix</p></td>
<td class="parameter_description"><p>The matrix of the system (<em class="parameter"><code>n</code></em>
times <em class="parameter"><code>n</code></em>
), ordered by row, then
column.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>rhs</p></td>
<td class="parameter_description"><p>The right hand side of the sytem.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>result</p></td>
<td class="parameter_description"><p>Where the result should be stored.  May be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a> to allocate
a fresh array for the result.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.8.6"></a><h4>Returns</h4>
<p> The solution (<em class="parameter"><code>result</code></em>
if it wasn't <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>), may be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a> if the
matrix is singular.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-lin-solve-rewrite"></a><h3>gwy_math_lin_solve_rewrite ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
gwy_math_lin_solve_rewrite (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *matrix</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *rhs</code></em>,
                            <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *result</code></em>);</pre>
<p>Solves a regular system of linear equations.</p>
<p>This is a memory-conservative version of <a class="link" href="libgwyddion-Math.html#gwy-math-lin-solve" title="gwy_math_lin_solve ()"><code class="function">gwy_math_lin_solve()</code></a> overwriting
<em class="parameter"><code>matrix</code></em>
 and <em class="parameter"><code>rhs</code></em>
 with intermediate results.</p>
<div class="refsect3">
<a name="id-1.9.7.9.6"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The size of the system.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>matrix</p></td>
<td class="parameter_description"><p>The matrix of the system (<em class="parameter"><code>n</code></em>
times <em class="parameter"><code>n</code></em>
), ordered by row, then
column.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>rhs</p></td>
<td class="parameter_description"><p>The right hand side of the sytem.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>result</p></td>
<td class="parameter_description"><p>Where the result should be stored.  May be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a> to allocate
a fresh array for the result.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.9.7"></a><h4>Returns</h4>
<p> The solution (<em class="parameter"><code>result</code></em>
if it wasn't <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>), may be <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a> if the
matrix is singular.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-tridiag-solve-rewrite"></a><h3>gwy_math_tridiag_solve_rewrite ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
gwy_math_tridiag_solve_rewrite (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                                <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *d</code></em>,
                                <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *a</code></em>,
                                <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *b</code></em>,
                                <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *rhs</code></em>);</pre>
<p>Solves a tridiagonal system of linear equations.</p>
<div class="refsect3">
<a name="id-1.9.7.10.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The dimension of <em class="parameter"><code>d</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>d</p></td>
<td class="parameter_description"><p>The diagonal of a tridiagonal matrix, its contents will be overwritten.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>a</p></td>
<td class="parameter_description"><p>The above-diagonal stripe (it has <em class="parameter"><code>n</code></em>
-1 elements).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>b</p></td>
<td class="parameter_description"><p>The below-diagonal stripe (it has <em class="parameter"><code>n</code></em>
-1 elements).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>rhs</p></td>
<td class="parameter_description"><p>The right hand side of the system, upon return it will contain the
solution.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.10.6"></a><h4>Returns</h4>
<p> <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#TRUE:CAPS"><code class="literal">TRUE</code></a> if the elimination suceeded, <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#FALSE:CAPS"><code class="literal">FALSE</code></a> if the system is
(numerically) singular.  The contents of <em class="parameter"><code>d</code></em>
and <em class="parameter"><code>rhs</code></em>
may be
overwritten in the case of failure too, but not to any meaningful
values.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-fit-polynom"></a><h3>gwy_math_fit_polynom ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a> *
gwy_math_fit_polynom (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> ndata</code></em>,
                      <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *xdata</code></em>,
                      <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *ydata</code></em>,
                      <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                      <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *coeffs</code></em>);</pre>
<p>Fits a polynom through a general (x, y) data set.</p>
<div class="refsect3">
<a name="id-1.9.7.11.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>ndata</p></td>
<td class="parameter_description"><p>The number of items in <em class="parameter"><code>xdata</code></em>
, <em class="parameter"><code>ydata</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>xdata</p></td>
<td class="parameter_description"><p>Independent variable data (of size <em class="parameter"><code>ndata</code></em>
).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>ydata</p></td>
<td class="parameter_description"><p>Dependent variable data (of size <em class="parameter"><code>ndata</code></em>
).</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The degree of polynom to fit.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>coeffs</p></td>
<td class="parameter_description"><p>An array of size <em class="parameter"><code>n</code></em>
+1 to store the coefficients to, or <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>
(a fresh array is allocated then).</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.11.6"></a><h4>Returns</h4>
<p> The coefficients of the polynom (<em class="parameter"><code>coeffs</code></em>
when it was not <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#NULL:CAPS"><code class="literal">NULL</code></a>,
otherwise a newly allocated array).</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-choleski-decompose"></a><h3>gwy_math_choleski_decompose ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
gwy_math_choleski_decompose (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *matrix</code></em>);</pre>
<p>Decomposes a symmetric positive definite matrix in place.</p>
<div class="refsect3">
<a name="id-1.9.7.12.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The dimension of <em class="parameter"><code>a</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>matrix</p></td>
<td class="parameter_description"><p>Lower triangular part of a symmetric matrix, stored by rows, i.e.,
matrix = [a_00 a_10 a_11 a_20 a_21 a_22 a_30 ...].</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.12.6"></a><h4>Returns</h4>
<p> Whether the matrix was really positive definite.  If <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#FALSE:CAPS"><code class="literal">FALSE</code></a>,
the decomposition failed and <em class="parameter"><code>a</code></em>
does not contain any meaningful
values.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-choleski-solve"></a><h3>gwy_math_choleski_solve ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>
gwy_math_choleski_solve (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gint"><span class="type">gint</span></a> n</code></em>,
                         <em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *decomp</code></em>,
                         <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *rhs</code></em>);</pre>
<p>Solves a system of linear equations with predecomposed symmetric positive
definite matrix <em class="parameter"><code>a</code></em>
 and right hand side <em class="parameter"><code>b</code></em>
.</p>
<div class="refsect3">
<a name="id-1.9.7.13.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>The dimension of <em class="parameter"><code>a</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>decomp</p></td>
<td class="parameter_description"><p>Lower triangular part of Choleski decomposition as computed
by <a class="link" href="libgwyddion-Math.html#gwy-math-choleski-decompose" title="gwy_math_choleski_decompose ()"><code class="function">gwy_math_choleski_decompose()</code></a>.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>rhs</p></td>
<td class="parameter_description"><p>Right hand side vector.  Is is modified in place, on return it
contains the solution.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-curvature"></a><h3>gwy_math_curvature ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#guint"><span class="returnvalue">guint</span></a>
gwy_math_curvature (<em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *coeffs</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *kappa1</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *kappa2</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *phi1</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *phi2</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *xc</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *yc</code></em>,
                    <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *zc</code></em>);</pre>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-refine-maximum"></a><h3>gwy_math_refine_maximum ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>
gwy_math_refine_maximum (<em class="parameter"><code>const <a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *z</code></em>,
                         <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *x</code></em>,
                         <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *y</code></em>);</pre>
<p>Performs subpixel refinement of parabolic a two-dimensional maximum.</p>
<p>The central value corresponds to coordinates (0,0), distances between values
are unity.  The refinement is based by fitting a two-dimensional parabola
through the maximum.  If it fails or the calculated maximum lies farther
than the surrounding values the function sets the refined maximum to the
origin and returns <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#FALSE:CAPS"><code class="literal">FALSE</code></a>.</p>
<div class="refsect3">
<a name="id-1.9.7.15.6"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>z</p></td>
<td class="parameter_description"><p>Array of length 9, containing the square 3x3 neighbourhood values in
matrix order and with the maximum in the centre.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>Location to store the refined <em class="parameter"><code>x</code></em>
-coordinate.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>y</p></td>
<td class="parameter_description"><p>Location to store the refined <em class="parameter"><code>y</code></em>
-coordinate.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.15.7"></a><h4>Returns</h4>
<p> <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#TRUE:CAPS"><code class="literal">TRUE</code></a> if the refinement succeeded, <a href="/usr/share/gtk-doc/html/glib/glib-Standard-Macros.html#FALSE:CAPS"><code class="literal">FALSE</code></a> if it failed.  The values
of <em class="parameter"><code>x</code></em>
and <em class="parameter"><code>y</code></em>
are usable regardless of the return value.</p>
</div>
<p class="since">Since: <a class="link" href="api-index-2-42.html#api-index-2.42">2.42</a></p>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-median"></a><h3>gwy_math_median ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
gwy_math_median (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gsize"><span class="type">gsize</span></a> n</code></em>,
                 <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *array</code></em>);</pre>
<p>Finds median of an array of values using Quick select algorithm.</p>
<div class="refsect3">
<a name="id-1.9.7.16.5"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>Number of items in <em class="parameter"><code>array</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>array</p></td>
<td class="parameter_description"><p>Array of doubles.  It is modified by this function.  All values are
kept, but their positions in the array change.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.16.6"></a><h4>Returns</h4>
<p> The median value of <em class="parameter"><code>array</code></em>
.</p>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-sort"></a><h3>gwy_math_sort ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>
gwy_math_sort (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gsize"><span class="type">gsize</span></a> n</code></em>,
               <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *array</code></em>);</pre>
<p>Sorts an array of doubles using a quicksort algorithm.</p>
<p>This is usually about twice as fast as the generic quicksort function
thanks to specialization for doubles.</p>
<div class="refsect3">
<a name="id-1.9.7.17.6"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody>
<tr>
<td class="parameter_name"><p>n</p></td>
<td class="parameter_description"><p>Number of items in <em class="parameter"><code>array</code></em>
.</p></td>
<td class="parameter_annotations"> </td>
</tr>
<tr>
<td class="parameter_name"><p>array</p></td>
<td class="parameter_description"><p>Array of doubles to sort in place.</p></td>
<td class="parameter_annotations"> </td>
</tr>
</tbody>
</table></div>
</div>
</div>
<hr>
<div class="refsect2">
<a name="gwy-math-median-uncertainty"></a><h3>gwy_math_median_uncertainty ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
gwy_math_median_uncertainty (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gsize"><span class="type">gsize</span></a> n</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *array</code></em>,
                             <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="type">gdouble</span></a> *uarray</code></em>);</pre>
</div>
<hr>
<div class="refsect2">
<a name="gwy-xlnx-int"></a><h3>gwy_xlnx_int ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gdouble"><span class="returnvalue">gdouble</span></a>
gwy_xlnx_int (<em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#guint"><span class="type">guint</span></a> x</code></em>);</pre>
<p>Calculates natural logarithm multiplied by the argument for integers.</p>
<p>The value for zero <em class="parameter"><code>x</code></em>
 is taken as the limit, i.e. zero.</p>
<p>This function is useful for entropy calculations where values of <em class="parameter"><code>n</code></em>
*log(<em class="parameter"><code>n</code></em>
)
can be evaulated a lot for small <em class="parameter"><code>n</code></em>
.  Therefore, values for small arguments
are tabulated.  For large arguments the function is evaluated using the
standard <code class="function">log()</code> function which is of course slower.</p>
<div class="refsect3">
<a name="id-1.9.7.19.7"></a><h4>Parameters</h4>
<div class="informaltable"><table width="100%" border="0">
<colgroup>
<col width="150px" class="parameters_name">
<col class="parameters_description">
<col width="200px" class="parameters_annotations">
</colgroup>
<tbody><tr>
<td class="parameter_name"><p>x</p></td>
<td class="parameter_description"><p>Value to calculate <em class="parameter"><code>x</code></em>
*log(<em class="parameter"><code>x</code></em>
) of.</p></td>
<td class="parameter_annotations"> </td>
</tr></tbody>
</table></div>
</div>
<div class="refsect3">
<a name="id-1.9.7.19.8"></a><h4>Returns</h4>
<p> Value of <em class="parameter"><code>x</code></em>
*log(<em class="parameter"><code>x</code></em>
).</p>
</div>
<p class="since">Since: <a class="link" href="api-index-2-44.html#api-index-2.44">2.44</a></p>
</div>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.other_details"></a><h2>Types and Values</h2>
<div class="refsect2">
<a name="GWY-SQRT3:CAPS"></a><h3>GWY_SQRT3</h3>
<pre class="programlisting">#define GWY_SQRT3 1.73205080756887729352744634150587236694280525381038
</pre>
<p>The square root of 3.</p>
</div>
<hr>
<div class="refsect2">
<a name="GWY-SQRT-PI:CAPS"></a><h3>GWY_SQRT_PI</h3>
<pre class="programlisting">#define GWY_SQRT_PI 1.77245385090551602729816748334114518279754945612237
</pre>
<p>The square root of pi.</p>
</div>
</div>
<div class="refsect1">
<a name="libgwyddion-Math.see-also"></a><h2>See Also</h2>
<p><a class="link" href="libgwyddion-GwyNLFitter.html#GwyNLFitter" title="struct GwyNLFitter"><span class="type">GwyNLFitter</span></a>, non-linear least square fitter;</p>
Math Fallback,
<p>           fallback mathematical functions</p>
</div>
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