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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1">
<title>Brahe</title>
<link href="doxygen.css" rel="stylesheet" type="text/css">
</head><body bgcolor="#ffffff">
<h1 align="center" color="#606080">
<b>Brahe</b> - a heterogenous collection of mathematical tools
</h1>
<h2 align="center">
<a href="index.html">Main Index</a><br>
<a href="http://www.coyotegulch.com">Home Page</a>
</h2>
<p align="center">
Created by <a href="mailto:scott.ladd@@coyotegulch.com">Scott Robert Ladd</a><br>
</p>
<hr>
<!-- Generated by Doxygen 1.8.11 -->
<div id="nav-path" class="navpath">
  <ul>
<li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li>  </ul>
</div>
</div><!-- top -->
<div class="header">
  <div class="summary">
<a href="#nested-classes">Data Structures</a> &#124;
<a href="#define-members">Macros</a> &#124;
<a href="#typedef-members">Typedefs</a> &#124;
<a href="#enum-members">Enumerations</a> &#124;
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle">
<div class="title">mathtools.h File Reference</div>  </div>
</div><!--header-->
<div class="contents">
<div class="textblock"><code>#include &lt;stddef.h&gt;</code><br />
<code>#include &lt;math.h&gt;</code><br />
<code>#include &lt;limits.h&gt;</code><br />
<code>#include &lt;float.h&gt;</code><br />
<code>#include &lt;stdbool.h&gt;</code><br />
<code>#include &lt;stdint.h&gt;</code><br />
</div>
<p><a href="a00004_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00002.html">brahe_statistics_t</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Structure containing statistical values calculate from a double array.  <a href="a00002.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00003.html">brahe_wave_factor_t</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sine wave definition.  <a href="a00003.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:a560947c90102e2d8c8bddfcdc8d9aebf"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a560947c90102e2d8c8bddfcdc8d9aebf">BRAHE_E</a>&#160;&#160;&#160;2.71828182845904523536028747135</td></tr>
<tr class="memdesc:a560947c90102e2d8c8bddfcdc8d9aebf"><td class="mdescLeft">&#160;</td><td class="mdescRight">e (natural logarithm base  <a href="#a560947c90102e2d8c8bddfcdc8d9aebf">More...</a><br /></td></tr>
<tr class="separator:a560947c90102e2d8c8bddfcdc8d9aebf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2acb48c25034f68df587e0f0aa629b8c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a2acb48c25034f68df587e0f0aa629b8c">BRAHE_LOG2_E</a>&#160;&#160;&#160;1.44269504088896340735992468100</td></tr>
<tr class="memdesc:a2acb48c25034f68df587e0f0aa629b8c"><td class="mdescLeft">&#160;</td><td class="mdescRight">log_2 (e)  <a href="#a2acb48c25034f68df587e0f0aa629b8c">More...</a><br /></td></tr>
<tr class="separator:a2acb48c25034f68df587e0f0aa629b8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af8a4b9878f8d4190d85a47fed511d1ae"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#af8a4b9878f8d4190d85a47fed511d1ae">BRAHE_LOG10_E</a>&#160;&#160;&#160;0.43429448190325182765112891892</td></tr>
<tr class="memdesc:af8a4b9878f8d4190d85a47fed511d1ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">log_10 (e)  <a href="#af8a4b9878f8d4190d85a47fed511d1ae">More...</a><br /></td></tr>
<tr class="separator:af8a4b9878f8d4190d85a47fed511d1ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a0f30c1a745dc06e0b8c3611c03b7d4e5">BRAHE_SQRT_2</a>&#160;&#160;&#160;1.41421356237309504880168872421</td></tr>
<tr class="memdesc:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(2)  <a href="#a0f30c1a745dc06e0b8c3611c03b7d4e5">More...</a><br /></td></tr>
<tr class="separator:a0f30c1a745dc06e0b8c3611c03b7d4e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a0ab8e9aa2a0e7f80b40b8b6bd9b79659">BRAHE_SQRT_HALF</a>&#160;&#160;&#160;0.70710678118654752440084436210</td></tr>
<tr class="memdesc:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(1/2)  <a href="#a0ab8e9aa2a0e7f80b40b8b6bd9b79659">More...</a><br /></td></tr>
<tr class="separator:a0ab8e9aa2a0e7f80b40b8b6bd9b79659"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad4551041fd2bbaa15958e2c48507ef3e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ad4551041fd2bbaa15958e2c48507ef3e">BRAHE_SQRT_3</a>&#160;&#160;&#160;1.73205080756887729352744634151</td></tr>
<tr class="memdesc:ad4551041fd2bbaa15958e2c48507ef3e"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(3)  <a href="#ad4551041fd2bbaa15958e2c48507ef3e">More...</a><br /></td></tr>
<tr class="separator:ad4551041fd2bbaa15958e2c48507ef3e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4e1fedcefdcf7671b203721214900b78"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a4e1fedcefdcf7671b203721214900b78">BRAHE_PI</a>&#160;&#160;&#160;3.14159265358979323846264338328</td></tr>
<tr class="memdesc:a4e1fedcefdcf7671b203721214900b78"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi (180 deg)  <a href="#a4e1fedcefdcf7671b203721214900b78">More...</a><br /></td></tr>
<tr class="separator:a4e1fedcefdcf7671b203721214900b78"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4fff0d018f3605f8d29a817c49c98482"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a4fff0d018f3605f8d29a817c49c98482">BRAHE_TAU</a>&#160;&#160;&#160;6.28318530717958647692528676656</td></tr>
<tr class="memdesc:a4fff0d018f3605f8d29a817c49c98482"><td class="mdescLeft">&#160;</td><td class="mdescRight">tau (2 * pi)  <a href="#a4fff0d018f3605f8d29a817c49c98482">More...</a><br /></td></tr>
<tr class="separator:a4fff0d018f3605f8d29a817c49c98482"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae07b001cefb9e3a6cf8bf371c56119c4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ae07b001cefb9e3a6cf8bf371c56119c4">BRAHE_PI_DIV_2</a>&#160;&#160;&#160;1.57079632679489661923132169164</td></tr>
<tr class="memdesc:ae07b001cefb9e3a6cf8bf371c56119c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/2 (90 deg)  <a href="#ae07b001cefb9e3a6cf8bf371c56119c4">More...</a><br /></td></tr>
<tr class="separator:ae07b001cefb9e3a6cf8bf371c56119c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8ad477fec1152a9e44d95dbae4c558cb"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a8ad477fec1152a9e44d95dbae4c558cb">BRAHE_PI_DIV_3</a>&#160;&#160;&#160;1.04719755119659774615421446109</td></tr>
<tr class="memdesc:a8ad477fec1152a9e44d95dbae4c558cb"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/3 (60 deg)  <a href="#a8ad477fec1152a9e44d95dbae4c558cb">More...</a><br /></td></tr>
<tr class="separator:a8ad477fec1152a9e44d95dbae4c558cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b1d771c20ae91ca703f563ff615d6d3"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a4b1d771c20ae91ca703f563ff615d6d3">BRAHE_PI_DIV_4</a>&#160;&#160;&#160;0.78539816339744830961566084582</td></tr>
<tr class="memdesc:a4b1d771c20ae91ca703f563ff615d6d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/4 (45 deg)  <a href="#a4b1d771c20ae91ca703f563ff615d6d3">More...</a><br /></td></tr>
<tr class="separator:a4b1d771c20ae91ca703f563ff615d6d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a996f916dc16cf561c6f8a444829b8de4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a996f916dc16cf561c6f8a444829b8de4">BRAHE_PI_DIV_6</a>&#160;&#160;&#160;0.52359877559829887307710723055</td></tr>
<tr class="memdesc:a996f916dc16cf561c6f8a444829b8de4"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/6 (30 deg)  <a href="#a996f916dc16cf561c6f8a444829b8de4">More...</a><br /></td></tr>
<tr class="separator:a996f916dc16cf561c6f8a444829b8de4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1723fc41b28843e6d1aa15028c16a211"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a1723fc41b28843e6d1aa15028c16a211">BRAHE_PI_DIV_9</a>&#160;&#160;&#160;0.34906585039886591538473815370</td></tr>
<tr class="memdesc:a1723fc41b28843e6d1aa15028c16a211"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi/9 (20 deg)  <a href="#a1723fc41b28843e6d1aa15028c16a211">More...</a><br /></td></tr>
<tr class="separator:a1723fc41b28843e6d1aa15028c16a211"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a54177483776db52a388c3e652a8b5982"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a54177483776db52a388c3e652a8b5982">BRAHE_PI_DIV_12</a>&#160;&#160;&#160;0.26179938779914943653855361527</td></tr>
<tr class="memdesc:a54177483776db52a388c3e652a8b5982"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi / 12 (15 deg)  <a href="#a54177483776db52a388c3e652a8b5982">More...</a><br /></td></tr>
<tr class="separator:a54177483776db52a388c3e652a8b5982"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6bc29aa9fac151ab7971cd15a638b67f"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a6bc29aa9fac151ab7971cd15a638b67f">BRAHE_PI_DIV_18</a>&#160;&#160;&#160;0.17453292519943295769236907685</td></tr>
<tr class="memdesc:a6bc29aa9fac151ab7971cd15a638b67f"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi / 18 (10 deg)  <a href="#a6bc29aa9fac151ab7971cd15a638b67f">More...</a><br /></td></tr>
<tr class="separator:a6bc29aa9fac151ab7971cd15a638b67f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4535b7b7be92cbad9d6425693c11643e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a4535b7b7be92cbad9d6425693c11643e">BRAHE_PI_DIV_36</a>&#160;&#160;&#160;0.08726646259971647884618453842</td></tr>
<tr class="memdesc:a4535b7b7be92cbad9d6425693c11643e"><td class="mdescLeft">&#160;</td><td class="mdescRight">pi / 36 (5 deg)  <a href="#a4535b7b7be92cbad9d6425693c11643e">More...</a><br /></td></tr>
<tr class="separator:a4535b7b7be92cbad9d6425693c11643e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aac172b8f64859f9bf54464a3a6bc3d7c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#aac172b8f64859f9bf54464a3a6bc3d7c">BRAHE_DEG_PER_RAD</a>&#160;&#160;&#160;57.2957795130823208767981548141</td></tr>
<tr class="memdesc:aac172b8f64859f9bf54464a3a6bc3d7c"><td class="mdescLeft">&#160;</td><td class="mdescRight">degrees per radian  <a href="#aac172b8f64859f9bf54464a3a6bc3d7c">More...</a><br /></td></tr>
<tr class="separator:aac172b8f64859f9bf54464a3a6bc3d7c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a81b271b7f56a5ddd3b9fe307778d0821"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a81b271b7f56a5ddd3b9fe307778d0821">BRAHE_RAD_PER_DEG</a>&#160;&#160;&#160;0.01745329251994329576923690768</td></tr>
<tr class="memdesc:a81b271b7f56a5ddd3b9fe307778d0821"><td class="mdescLeft">&#160;</td><td class="mdescRight">radians per degree  <a href="#a81b271b7f56a5ddd3b9fe307778d0821">More...</a><br /></td></tr>
<tr class="separator:a81b271b7f56a5ddd3b9fe307778d0821"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a83b4f9fccb40a1f78bb88aacc8e84cab"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a83b4f9fccb40a1f78bb88aacc8e84cab">BRAHE_SQRT_PI</a>&#160;&#160;&#160;1.77245385090551602729816748334</td></tr>
<tr class="memdesc:a83b4f9fccb40a1f78bb88aacc8e84cab"><td class="mdescLeft">&#160;</td><td class="mdescRight">sqrt(pi)  <a href="#a83b4f9fccb40a1f78bb88aacc8e84cab">More...</a><br /></td></tr>
<tr class="separator:a83b4f9fccb40a1f78bb88aacc8e84cab"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc">BRAHE_TWO_DIV_SQRT_PI</a>&#160;&#160;&#160;1.12837916709551257389615890312</td></tr>
<tr class="memdesc:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td class="mdescLeft">&#160;</td><td class="mdescRight">2/sqrt(pi)  <a href="#abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc">More...</a><br /></td></tr>
<tr class="separator:abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abf7d7206f6f89332832ea82f3955e1c9"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#abf7d7206f6f89332832ea82f3955e1c9">BRAHE_ONE_DIV_PI</a>&#160;&#160;&#160;0.31830988618379067153776752675</td></tr>
<tr class="memdesc:abf7d7206f6f89332832ea82f3955e1c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">1/pi  <a href="#abf7d7206f6f89332832ea82f3955e1c9">More...</a><br /></td></tr>
<tr class="separator:abf7d7206f6f89332832ea82f3955e1c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab6f9592c1e49a672372f56cdd1a617d5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ab6f9592c1e49a672372f56cdd1a617d5">BRAHE_TWO_DIV_PI</a>&#160;&#160;&#160;0.63661977236758134307553505349</td></tr>
<tr class="memdesc:ab6f9592c1e49a672372f56cdd1a617d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">2/pi  <a href="#ab6f9592c1e49a672372f56cdd1a617d5">More...</a><br /></td></tr>
<tr class="separator:ab6f9592c1e49a672372f56cdd1a617d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab80971083813a13b7f886efb0016f27a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ab80971083813a13b7f886efb0016f27a">BRAHE_LN_10</a>&#160;&#160;&#160;2.30258509299404568401799145468</td></tr>
<tr class="memdesc:ab80971083813a13b7f886efb0016f27a"><td class="mdescLeft">&#160;</td><td class="mdescRight">ln(10)  <a href="#ab80971083813a13b7f886efb0016f27a">More...</a><br /></td></tr>
<tr class="separator:ab80971083813a13b7f886efb0016f27a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a16ad8b699fa21a939786c8c512cff228"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a16ad8b699fa21a939786c8c512cff228">BRAHE_LN_2</a>&#160;&#160;&#160;0.69314718055994530941723212146</td></tr>
<tr class="memdesc:a16ad8b699fa21a939786c8c512cff228"><td class="mdescLeft">&#160;</td><td class="mdescRight">ln(2)  <a href="#a16ad8b699fa21a939786c8c512cff228">More...</a><br /></td></tr>
<tr class="separator:a16ad8b699fa21a939786c8c512cff228"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4a13004f988698d0e3edde4c35faa2ef"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a4a13004f988698d0e3edde4c35faa2ef">BRAHE_LOG_2</a>&#160;&#160;&#160;0.30102999566398119521373889472</td></tr>
<tr class="memdesc:a4a13004f988698d0e3edde4c35faa2ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">log(2)  <a href="#a4a13004f988698d0e3edde4c35faa2ef">More...</a><br /></td></tr>
<tr class="separator:a4a13004f988698d0e3edde4c35faa2ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab9b68fff5200827cfc970b9e0f7c941a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ab9b68fff5200827cfc970b9e0f7c941a">BRAHE_LN_PI</a>&#160;&#160;&#160;1.14472988584940017414342735135</td></tr>
<tr class="memdesc:ab9b68fff5200827cfc970b9e0f7c941a"><td class="mdescLeft">&#160;</td><td class="mdescRight">ln(pi)  <a href="#ab9b68fff5200827cfc970b9e0f7c941a">More...</a><br /></td></tr>
<tr class="separator:ab9b68fff5200827cfc970b9e0f7c941a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a71b1569ecfc42e0895108e4f506813c4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a71b1569ecfc42e0895108e4f506813c4">BRAHE_EULER</a>&#160;&#160;&#160;0.57721566490153286060651209008</td></tr>
<tr class="memdesc:a71b1569ecfc42e0895108e4f506813c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Euler constant.  <a href="#a71b1569ecfc42e0895108e4f506813c4">More...</a><br /></td></tr>
<tr class="separator:a71b1569ecfc42e0895108e4f506813c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
Typedefs</h2></td></tr>
<tr class="memitem:af6d1e561bc299e87adcde2b8075437d9"><td class="memItemLeft" align="right" valign="top">typedef enum <a class="el" href="a00004.html#a27c66fb5daf87a5e45d8e80c15683e32">brahe_pretty_format_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#af6d1e561bc299e87adcde2b8075437d9">brahe_pretty_format</a></td></tr>
<tr class="memdesc:af6d1e561bc299e87adcde2b8075437d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats for pretty-printing integers.  <a href="#af6d1e561bc299e87adcde2b8075437d9">More...</a><br /></td></tr>
<tr class="separator:af6d1e561bc299e87adcde2b8075437d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a87c74ee44dc77bf6d299940f41c45c2a"><td class="memItemLeft" align="right" valign="top">typedef struct <a class="el" href="a00002.html">brahe_statistics_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a87c74ee44dc77bf6d299940f41c45c2a">brahe_statistics</a></td></tr>
<tr class="memdesc:a87c74ee44dc77bf6d299940f41c45c2a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Structure containing statistical values calculate from a double array.  <a href="#a87c74ee44dc77bf6d299940f41c45c2a">More...</a><br /></td></tr>
<tr class="separator:a87c74ee44dc77bf6d299940f41c45c2a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
Enumerations</h2></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a12a41b5db8722b0e2b834839d5ccdccb"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a12a41b5db8722b0e2b834839d5ccdccb">brahe_round_nearest</a> (const double x)</td></tr>
<tr class="memdesc:a12a41b5db8722b0e2b834839d5ccdccb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Round to nearest value.  <a href="#a12a41b5db8722b0e2b834839d5ccdccb">More...</a><br /></td></tr>
<tr class="separator:a12a41b5db8722b0e2b834839d5ccdccb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a717b79e8bf4bbd4048bf86996dd7cb85"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a717b79e8bf4bbd4048bf86996dd7cb85">brahe_sigdig</a> (const double x, const uint16_t n)</td></tr>
<tr class="memdesc:a717b79e8bf4bbd4048bf86996dd7cb85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set number of significant digits in a floating-point value.  <a href="#a717b79e8bf4bbd4048bf86996dd7cb85">More...</a><br /></td></tr>
<tr class="separator:a717b79e8bf4bbd4048bf86996dd7cb85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a683332a0c88ab75687f8c335d15fd08c"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a683332a0c88ab75687f8c335d15fd08c">brahe_lcm</a> (const uint64_t x, const uint64_t y)</td></tr>
<tr class="memdesc:a683332a0c88ab75687f8c335d15fd08c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Lowest common multiple.  <a href="#a683332a0c88ab75687f8c335d15fd08c">More...</a><br /></td></tr>
<tr class="separator:a683332a0c88ab75687f8c335d15fd08c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:add171e9317dd7e7f44d16d864f0c457c"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#add171e9317dd7e7f44d16d864f0c457c">brahe_gcf</a> (uint64_t x, uint64_t y)</td></tr>
<tr class="memdesc:add171e9317dd7e7f44d16d864f0c457c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greatest common factor (denominator)  <a href="#add171e9317dd7e7f44d16d864f0c457c">More...</a><br /></td></tr>
<tr class="separator:add171e9317dd7e7f44d16d864f0c457c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0dcca39378c18fd880f2a4a1c6498b7e"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a0dcca39378c18fd880f2a4a1c6498b7e">brahe_log2base</a> (const double x, const double base)</td></tr>
<tr class="memdesc:a0dcca39378c18fd880f2a4a1c6498b7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Logarithm to a specified base.  <a href="#a0dcca39378c18fd880f2a4a1c6498b7e">More...</a><br /></td></tr>
<tr class="separator:a0dcca39378c18fd880f2a4a1c6498b7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a577f1d6fd8dbe5d38a240d0eb3e405f7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a577f1d6fd8dbe5d38a240d0eb3e405f7">brahe_sizepow2</a> (const int n)</td></tr>
<tr class="memdesc:a577f1d6fd8dbe5d38a240d0eb3e405f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Smallest power of 2 that includes a given value.  <a href="#a577f1d6fd8dbe5d38a240d0eb3e405f7">More...</a><br /></td></tr>
<tr class="separator:a577f1d6fd8dbe5d38a240d0eb3e405f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9722d89941373f78b341bf790389e484"><td class="memItemLeft" align="right" valign="top">char *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a9722d89941373f78b341bf790389e484">brahe_pretty_int</a> (int64_t n, <a class="el" href="a00004.html#af6d1e561bc299e87adcde2b8075437d9">brahe_pretty_format</a> fmt)</td></tr>
<tr class="memdesc:a9722d89941373f78b341bf790389e484"><td class="mdescLeft">&#160;</td><td class="mdescRight">Turn a 64-bit integer into a pretty string.  <a href="#a9722d89941373f78b341bf790389e484">More...</a><br /></td></tr>
<tr class="separator:a9722d89941373f78b341bf790389e484"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab437fe8f26af4492c284b429d367463f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="a00004.html#a87c74ee44dc77bf6d299940f41c45c2a">brahe_statistics</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ab437fe8f26af4492c284b429d367463f">brahe_get_statistics</a> (double *data, size_t n)</td></tr>
<tr class="memdesc:ab437fe8f26af4492c284b429d367463f"><td class="mdescLeft">&#160;</td><td class="mdescRight">statistics for array of double  <a href="#ab437fe8f26af4492c284b429d367463f">More...</a><br /></td></tr>
<tr class="separator:ab437fe8f26af4492c284b429d367463f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a23774ccdc585f8dcaba5ba9b7db0d5e5"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a23774ccdc585f8dcaba5ba9b7db0d5e5">brahe_moving_average</a> (const double *data, const int n, const int distance)</td></tr>
<tr class="memdesc:a23774ccdc585f8dcaba5ba9b7db0d5e5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Moving average.  <a href="#a23774ccdc585f8dcaba5ba9b7db0d5e5">More...</a><br /></td></tr>
<tr class="separator:a23774ccdc585f8dcaba5ba9b7db0d5e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1ef0e264042a814efd401548e8e05f6e"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a1ef0e264042a814efd401548e8e05f6e">brahe_simple_fft</a> (const double *data, const int n)</td></tr>
<tr class="memdesc:a1ef0e264042a814efd401548e8e05f6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simple real-to-real fft (arbitrary length)  <a href="#a1ef0e264042a814efd401548e8e05f6e">More...</a><br /></td></tr>
<tr class="separator:a1ef0e264042a814efd401548e8e05f6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1df036f97d3f4ff0525985dc1f36b053"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a1df036f97d3f4ff0525985dc1f36b053">brahe_simple_fft2</a> (const double *data, const int n)</td></tr>
<tr class="memdesc:a1df036f97d3f4ff0525985dc1f36b053"><td class="mdescLeft">&#160;</td><td class="mdescRight">Simple real-to-real fft (power of 2 length)  <a href="#a1df036f97d3f4ff0525985dc1f36b053">More...</a><br /></td></tr>
<tr class="separator:a1df036f97d3f4ff0525985dc1f36b053"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab423ed3940f8c34b508bbf5cc3017567"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#ab423ed3940f8c34b508bbf5cc3017567">brahe_make_sinusoid</a> (const <a class="el" href="a00003.html">brahe_wave_factor_t</a> *factors, const size_t factor_n, const size_t array_n)</td></tr>
<tr class="memdesc:ab423ed3940f8c34b508bbf5cc3017567"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sine wave based artificial signal generator.  <a href="#ab423ed3940f8c34b508bbf5cc3017567">More...</a><br /></td></tr>
<tr class="separator:ab423ed3940f8c34b508bbf5cc3017567"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adf8459d717c455033024242bda7e2af1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#adf8459d717c455033024242bda7e2af1">brahe_add_noise</a> (double *a, const size_t n, double noise)</td></tr>
<tr class="memdesc:adf8459d717c455033024242bda7e2af1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply noise to a signal.  <a href="#adf8459d717c455033024242bda7e2af1">More...</a><br /></td></tr>
<tr class="separator:adf8459d717c455033024242bda7e2af1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7756d25dc923d606c9d8df710e1b82d8"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a7756d25dc923d606c9d8df710e1b82d8">brahe_asinh</a> (const double x)</td></tr>
<tr class="memdesc:a7756d25dc923d606c9d8df710e1b82d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hyperbolic arcsine.  <a href="#a7756d25dc923d606c9d8df710e1b82d8">More...</a><br /></td></tr>
<tr class="separator:a7756d25dc923d606c9d8df710e1b82d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e2135361eaa2292a33f9757caf2cb3c"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a7e2135361eaa2292a33f9757caf2cb3c">brahe_acosh</a> (const double x)</td></tr>
<tr class="memdesc:a7e2135361eaa2292a33f9757caf2cb3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hyperbolic arccosine.  <a href="#a7e2135361eaa2292a33f9757caf2cb3c">More...</a><br /></td></tr>
<tr class="separator:a7e2135361eaa2292a33f9757caf2cb3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a922abe5c1585c4ddefc8052058e87621"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00004.html#a922abe5c1585c4ddefc8052058e87621">brahe_atanh</a> (const double x)</td></tr>
<tr class="memdesc:a922abe5c1585c4ddefc8052058e87621"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hyperbolic arctangent.  <a href="#a922abe5c1585c4ddefc8052058e87621">More...</a><br /></td></tr>
<tr class="separator:a922abe5c1585c4ddefc8052058e87621"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<h2 class="groupheader">Macro Definition Documentation</h2>
<a class="anchor" id="aac172b8f64859f9bf54464a3a6bc3d7c"></a>
<div class="memitem">
<div class="memproto">
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          <td class="memname">#define BRAHE_DEG_PER_RAD&#160;&#160;&#160;57.2957795130823208767981548141</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a560947c90102e2d8c8bddfcdc8d9aebf"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">#define BRAHE_E&#160;&#160;&#160;2.71828182845904523536028747135</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a71b1569ecfc42e0895108e4f506813c4"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_EULER&#160;&#160;&#160;0.57721566490153286060651209008</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ab80971083813a13b7f886efb0016f27a"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">#define BRAHE_LN_10&#160;&#160;&#160;2.30258509299404568401799145468</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a16ad8b699fa21a939786c8c512cff228"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_LN_2&#160;&#160;&#160;0.69314718055994530941723212146</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ab9b68fff5200827cfc970b9e0f7c941a"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_LN_PI&#160;&#160;&#160;1.14472988584940017414342735135</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="af8a4b9878f8d4190d85a47fed511d1ae"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_LOG10_E&#160;&#160;&#160;0.43429448190325182765112891892</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a2acb48c25034f68df587e0f0aa629b8c"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_LOG2_E&#160;&#160;&#160;1.44269504088896340735992468100</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a4a13004f988698d0e3edde4c35faa2ef"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_LOG_2&#160;&#160;&#160;0.30102999566398119521373889472</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="abf7d7206f6f89332832ea82f3955e1c9"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_ONE_DIV_PI&#160;&#160;&#160;0.31830988618379067153776752675</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a4e1fedcefdcf7671b203721214900b78"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI&#160;&#160;&#160;3.14159265358979323846264338328</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a54177483776db52a388c3e652a8b5982"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_12&#160;&#160;&#160;0.26179938779914943653855361527</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a6bc29aa9fac151ab7971cd15a638b67f"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_18&#160;&#160;&#160;0.17453292519943295769236907685</td>
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      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ae07b001cefb9e3a6cf8bf371c56119c4"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_2&#160;&#160;&#160;1.57079632679489661923132169164</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a8ad477fec1152a9e44d95dbae4c558cb"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_3&#160;&#160;&#160;1.04719755119659774615421446109</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a4535b7b7be92cbad9d6425693c11643e"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_36&#160;&#160;&#160;0.08726646259971647884618453842</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a4b1d771c20ae91ca703f563ff615d6d3"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_4&#160;&#160;&#160;0.78539816339744830961566084582</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a996f916dc16cf561c6f8a444829b8de4"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_6&#160;&#160;&#160;0.52359877559829887307710723055</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a1723fc41b28843e6d1aa15028c16a211"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_PI_DIV_9&#160;&#160;&#160;0.34906585039886591538473815370</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a81b271b7f56a5ddd3b9fe307778d0821"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_RAD_PER_DEG&#160;&#160;&#160;0.01745329251994329576923690768</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a0f30c1a745dc06e0b8c3611c03b7d4e5"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_SQRT_2&#160;&#160;&#160;1.41421356237309504880168872421</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ad4551041fd2bbaa15958e2c48507ef3e"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_SQRT_3&#160;&#160;&#160;1.73205080756887729352744634151</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a0ab8e9aa2a0e7f80b40b8b6bd9b79659"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_SQRT_HALF&#160;&#160;&#160;0.70710678118654752440084436210</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a83b4f9fccb40a1f78bb88aacc8e84cab"></a>
<div class="memitem">
<div class="memproto">
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        <tr>
          <td class="memname">#define BRAHE_SQRT_PI&#160;&#160;&#160;1.77245385090551602729816748334</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a4fff0d018f3605f8d29a817c49c98482"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_TAU&#160;&#160;&#160;6.28318530717958647692528676656</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="ab6f9592c1e49a672372f56cdd1a617d5"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">#define BRAHE_TWO_DIV_PI&#160;&#160;&#160;0.63661977236758134307553505349</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="abed5bd6cb3ba2a4b0f1e99ebd7ea2fcc"></a>
<div class="memitem">
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          <td class="memname">#define BRAHE_TWO_DIV_SQRT_PI&#160;&#160;&#160;1.12837916709551257389615890312</td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<h2 class="groupheader">Typedef Documentation</h2>
<a class="anchor" id="af6d1e561bc299e87adcde2b8075437d9"></a>
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        <tr>
          <td class="memname">typedef enum <a class="el" href="a00004.html#a27c66fb5daf87a5e45d8e80c15683e32">brahe_pretty_format_t</a>
 <a class="el" href="a00004.html#af6d1e561bc299e87adcde2b8075437d9">brahe_pretty_format</a></td>
        </tr>
      </table>
</div><div class="memdoc">

</div>
</div>
<a class="anchor" id="a87c74ee44dc77bf6d299940f41c45c2a"></a>
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      <table class="memname">
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          <td class="memname">typedef struct <a class="el" href="a00002.html">brahe_statistics_t</a>
 <a class="el" href="a00004.html#a87c74ee44dc77bf6d299940f41c45c2a">brahe_statistics</a></td>
        </tr>
      </table>
</div><div class="memdoc">

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</div>
<h2 class="groupheader">Enumeration Type Documentation</h2>
<a class="anchor" id="a27c66fb5daf87a5e45d8e80c15683e32"></a>
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">enum <a class="el" href="a00004.html#a27c66fb5daf87a5e45d8e80c15683e32">brahe_pretty_format_t</a></td>
        </tr>
      </table>
</div><div class="memdoc">
<table class="fieldtable">
<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a27c66fb5daf87a5e45d8e80c15683e32a7cf956fda0334adb6a2cab5867471131"></a>BRAHE_PRETTY_TEXT&#160;</td><td class="fielddoc">
<p>english text (nine thousand, two hundred eleven) </p>
</td></tr>
<tr><td class="fieldname"><a class="anchor" id="a27c66fb5daf87a5e45d8e80c15683e32a0a91a8358d264801da6b2fbc3b923a9b"></a>BRAHE_PRETTY_COMMA&#160;</td><td class="fielddoc">
<p>comma delimited, (1,234,567,890) </p>
</td></tr>
</table>

</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="a7e2135361eaa2292a33f9757caf2cb3c"></a>
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          <td class="memname">double brahe_acosh </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">
<p>Calculates cosh<sup>-1</sup>. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>a value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>inverse hyperbolic cosine of <em>x</em> </dd></dl>

</div>
</div>
<a class="anchor" id="adf8459d717c455033024242bda7e2af1"></a>
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          <td class="memname">void brahe_add_noise </td>
          <td>(</td>
          <td class="paramtype">double *&#160;</td>
          <td class="paramname"><em>a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">double&#160;</td>
          <td class="paramname"><em>noise</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<p>Adds a percentage of noise to a signal. If "noise" is set to 0.1 (for example) each value will be adjust to between 90% and 110% of its original value. This function changes the existing values in the array. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">a</td><td>array containing signal data </td></tr>
    <tr><td class="paramname">n</td><td>number of samples in signal </td></tr>
    <tr><td class="paramname">noise</td><td>percentage of noise </td></tr>
  </table>
  </dd>
</dl>

</div>
</div>
<a class="anchor" id="a7756d25dc923d606c9d8df710e1b82d8"></a>
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          <td class="memname">double brahe_asinh </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">
<p>Calculates sinh<sup>-1</sup>. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>a value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>inverse hyperbolic sine of <em>x</em> </dd></dl>

</div>
</div>
<a class="anchor" id="a922abe5c1585c4ddefc8052058e87621"></a>
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          <td class="memname">double brahe_atanh </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">
<p>Calculates tanh<sup>-1</sup>. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>a value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>inverse hyperbolic tangent of <em>x</em> </dd></dl>

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<a class="anchor" id="add171e9317dd7e7f44d16d864f0c457c"></a>
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          <td class="memname">uint64_t brahe_gcf </td>
          <td>(</td>
          <td class="paramtype">uint64_t&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">uint64_t&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<p>Calculates the greatest common factor for two values. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>first value </td></tr>
    <tr><td class="paramname">y</td><td>second value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The greatest common factor for <em>x</em> and <em>y</em> </dd></dl>

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          <td class="memname"><a class="el" href="a00004.html#a87c74ee44dc77bf6d299940f41c45c2a">brahe_statistics</a> brahe_get_statistics </td>
          <td>(</td>
          <td class="paramtype">double *&#160;</td>
          <td class="paramname"><em>data</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramtype">size_t&#160;</td>
          <td class="paramname"><em>n</em>&#160;</td>
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<p>Calculate several common statistics for an array of doubles. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">data</td><td>array of double values </td></tr>
    <tr><td class="paramname">n</td><td>number of elements in data </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>statistics for data </dd></dl>

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          <td class="memname">uint64_t brahe_lcm </td>
          <td>(</td>
          <td class="paramtype">const uint64_t&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const uint64_t&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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          <td></td>
          <td>)</td>
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        </tr>
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<p>Calculates the lowest common multiple for two values. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>first value </td></tr>
    <tr><td class="paramname">y</td><td>second value </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The lowest common multiple for <em>x</em> and <em>y</em> </dd></dl>

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          <td class="memname">double brahe_log2base </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>base</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
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<p>Calculates the base-n logarithm for a given value. If a range error occurs, the return value equals NaN. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>value for which logarithm is required </td></tr>
    <tr><td class="paramname">base</td><td>lagarithm base </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>logarithm of <em>x</em> to base <em>base</em>; NAN on range error </dd></dl>

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          <td class="memname">double* brahe_make_sinusoid </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="a00003.html">brahe_wave_factor_t</a> *&#160;</td>
          <td class="paramname"><em>factors</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t&#160;</td>
          <td class="paramname"><em>factor_n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const size_t&#160;</td>
          <td class="paramname"><em>array_n</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
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<p>Generates an array of doubles by combining sine waves. The primary purpose is to produce an artificial signal with known properties, for testing signal analysis applications. The caller is responsible for freeing the memory used by the array returned by this function. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">factors</td><td>defines properties of the sine waves to be combined </td></tr>
    <tr><td class="paramname">factor_n</td><td>number of elements in factors </td></tr>
    <tr><td class="paramname">array_n</td><td>number of elements in the output array </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>an allocated array containg values generated from the given factors </dd></dl>

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          <td class="memname">double* brahe_moving_average </td>
          <td>(</td>
          <td class="paramtype">const double *&#160;</td>
          <td class="paramname"><em>data</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const int&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const int&#160;</td>
          <td class="paramname"><em>distance</em>&#160;</td>
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        <tr>
          <td></td>
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<p>Computes the moving average for an array. The returned buffer must be freed by the calling code. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">data</td><td>array of double values to be averaged </td></tr>
    <tr><td class="paramname">n</td><td>number of elements in data </td></tr>
    <tr><td class="paramname">distance</td><td>number elements to average before and after an element in <em>data</em> </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>an allocated <em>n</em>-length array containing the moving average of corresponding elements in <em>data</em> </dd></dl>

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          <td class="memname">char* brahe_pretty_int </td>
          <td>(</td>
          <td class="paramtype">int64_t&#160;</td>
          <td class="paramname"><em>n</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="a00004.html#af6d1e561bc299e87adcde2b8075437d9">brahe_pretty_format</a>&#160;</td>
          <td class="paramname"><em>fmt</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Returns a nicely formatted strong for a given 64-bit integer. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">n</td><td>number to be formatted </td></tr>
    <tr><td class="paramname">fmt</td><td>specifies format, as text or comma-delimited </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>an allocated string containing the generated text </dd></dl>

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          <td class="memname">double brahe_round_nearest </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Rounds a value to nearest integer, rounding to even for exact fractions of 0.5. </p>

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          <td class="memname">double brahe_sigdig </td>
          <td>(</td>
          <td class="paramtype">const double&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const uint16_t&#160;</td>
          <td class="paramname"><em>n</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Returns the given value rounded for the number of specified decimal digits of precision. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>- Original value to be rounded </td></tr>
    <tr><td class="paramname">n</td><td>- Number of significant digits </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The value <em>x</em> rounded to <em>n</em> digits of precision </dd></dl>

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          <td class="memname">double* brahe_simple_fft </td>
          <td>(</td>
          <td class="paramtype">const double *&#160;</td>
          <td class="paramname"><em>data</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const int&#160;</td>
          <td class="paramname"><em>n</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
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<p>A simple real-to-real FFT for arbitrary-length data. This is not intended to replace dedicated libraries such as FFTW. The caller is responsible for freeing the memory used by the array returned by this function. /param data input array /param n length of data /return an allocated array containing the real FFT of data </p>

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          <td class="memname">double* brahe_simple_fft2 </td>
          <td>(</td>
          <td class="paramtype">const double *&#160;</td>
          <td class="paramname"><em>data</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const int&#160;</td>
          <td class="paramname"><em>n</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<p>A simple real-to-real FFT for power of 2-length data. This is not intended to replace dedicated libraries such as FFTW. The caller is responsible for freeing the memory used by the array returned by this function. /param data input array /param n length of data /return an allocated array containing the real FFT of data </p>

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          <td class="memname">int brahe_sizepow2 </td>
          <td>(</td>
          <td class="paramtype">const int&#160;</td>
          <td class="paramname"><em>n</em></td><td>)</td>
          <td></td>
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<p>Returns the smallest power of 2 that includes n in its range </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">n</td><td>number that must be less than the result </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the lowest power of 2 that is greater than <em>n</em>, or </dd></dl>

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