242 lines
13 KiB
HTML
242 lines
13 KiB
HTML
|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
||
|
|
<head>
|
||
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
||
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
||
|
|
<title>Sine Cosine</title>
|
||
|
|
<title>CMSIS-DSP: Sine Cosine</title>
|
||
|
|
<link href="tabs.css" rel="stylesheet" type="text/css"/>
|
||
|
|
<link href="cmsis.css" rel="stylesheet" type="text/css" />
|
||
|
|
<script type="text/javascript" src="jquery.js"></script>
|
||
|
|
<script type="text/javascript" src="dynsections.js"></script>
|
||
|
|
<script type="text/javascript" src="printComponentTabs.js"></script>
|
||
|
|
<link href="navtree.css" rel="stylesheet" type="text/css"/>
|
||
|
|
<script type="text/javascript" src="resize.js"></script>
|
||
|
|
<script type="text/javascript" src="navtree.js"></script>
|
||
|
|
<script type="text/javascript">
|
||
|
|
$(document).ready(initResizable);
|
||
|
|
$(window).load(resizeHeight);
|
||
|
|
</script>
|
||
|
|
<link href="search/search.css" rel="stylesheet" type="text/css"/>
|
||
|
|
<script type="text/javascript" src="search/search.js"></script>
|
||
|
|
<script type="text/javascript">
|
||
|
|
$(document).ready(function() { searchBox.OnSelectItem(0); });
|
||
|
|
</script>
|
||
|
|
</head>
|
||
|
|
<body>
|
||
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
||
|
|
<div id="titlearea">
|
||
|
|
<table cellspacing="0" cellpadding="0">
|
||
|
|
<tbody>
|
||
|
|
<tr style="height: 46px;">
|
||
|
|
<td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
|
||
|
|
<td style="padding-left: 0.5em;">
|
||
|
|
<div id="projectname">CMSIS-DSP
|
||
|
|
 <span id="projectnumber">Version 1.5.1</span>
|
||
|
|
</div>
|
||
|
|
<div id="projectbrief">CMSIS DSP Software Library</div>
|
||
|
|
</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
</div>
|
||
|
|
<!-- end header part -->
|
||
|
|
<div id="CMSISnav" class="tabs1">
|
||
|
|
<ul class="tablist">
|
||
|
|
<script type="text/javascript">
|
||
|
|
<!--
|
||
|
|
writeComponentTabs.call(this);
|
||
|
|
//-->
|
||
|
|
</script>
|
||
|
|
</ul>
|
||
|
|
</div>
|
||
|
|
<!-- Generated by Doxygen 1.8.6 -->
|
||
|
|
<script type="text/javascript">
|
||
|
|
var searchBox = new SearchBox("searchBox", "search",false,'Search');
|
||
|
|
</script>
|
||
|
|
<div id="navrow1" class="tabs">
|
||
|
|
<ul class="tablist">
|
||
|
|
<li><a href="index.html"><span>Main Page</span></a></li>
|
||
|
|
<li><a href="pages.html"><span>Usage and Description</span></a></li>
|
||
|
|
<li><a href="modules.html"><span>Reference</span></a></li>
|
||
|
|
<li>
|
||
|
|
<div id="MSearchBox" class="MSearchBoxInactive">
|
||
|
|
<span class="left">
|
||
|
|
<img id="MSearchSelect" src="search/mag_sel.png"
|
||
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
||
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
||
|
|
alt=""/>
|
||
|
|
<input type="text" id="MSearchField" value="Search" accesskey="S"
|
||
|
|
onfocus="searchBox.OnSearchFieldFocus(true)"
|
||
|
|
onblur="searchBox.OnSearchFieldFocus(false)"
|
||
|
|
onkeyup="searchBox.OnSearchFieldChange(event)"/>
|
||
|
|
</span><span class="right">
|
||
|
|
<a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
|
||
|
|
</span>
|
||
|
|
</div>
|
||
|
|
</li>
|
||
|
|
</ul>
|
||
|
|
</div>
|
||
|
|
</div><!-- top -->
|
||
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
||
|
|
<div id="nav-tree">
|
||
|
|
<div id="nav-tree-contents">
|
||
|
|
<div id="nav-sync" class="sync"></div>
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
||
|
|
class="ui-resizable-handle">
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<script type="text/javascript">
|
||
|
|
$(document).ready(function(){initNavTree('group__SinCos.html','');});
|
||
|
|
</script>
|
||
|
|
<div id="doc-content">
|
||
|
|
<!-- window showing the filter options -->
|
||
|
|
<div id="MSearchSelectWindow"
|
||
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
||
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
||
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
||
|
|
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark"> </span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark"> </span>Pages</a></div>
|
||
|
|
|
||
|
|
<!-- iframe showing the search results (closed by default) -->
|
||
|
|
<div id="MSearchResultsWindow">
|
||
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
||
|
|
name="MSearchResults" id="MSearchResults">
|
||
|
|
</iframe>
|
||
|
|
</div>
|
||
|
|
|
||
|
|
<div class="header">
|
||
|
|
<div class="summary">
|
||
|
|
<a href="#func-members">Functions</a> </div>
|
||
|
|
<div class="headertitle">
|
||
|
|
<div class="title">Sine Cosine<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
|
||
|
|
</div><!--header-->
|
||
|
|
<div class="contents">
|
||
|
|
<table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
|
||
|
|
Functions</h2></td></tr>
|
||
|
|
<tr class="memitem:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SinCos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> theta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCosVal)</td></tr>
|
||
|
|
<tr class="memdesc:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point sin_cos function. <a href="#ga4420d45c37d58c310ef9ae1b5fe58020">More...</a><br/></td></tr>
|
||
|
|
<tr class="separator:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SinCos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> theta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCosVal)</td></tr>
|
||
|
|
<tr class="memdesc:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="mdescLeft"> </td><td class="mdescRight">Q31 sin_cos function. <a href="#gae9e4ddebff9d4eb5d0a093e28e0bc504">More...</a><br/></td></tr>
|
||
|
|
<tr class="separator:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table>
|
||
|
|
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
|
||
|
|
<p>Computes the trigonometric sine and cosine values using a combination of table lookup and linear interpolation. There are separate functions for Q31 and floating-point data types. The input to the floating-point version is in degrees while the fixed-point Q31 have a scaled input with the range [-1 0.9999] mapping to [-180 +180] degrees.</p>
|
||
|
|
<p>The floating point function also allows values that are out of the usual range. When this happens, the function will take extra time to adjust the input value to the range of [-180 180].</p>
|
||
|
|
<p>The result is accurate to 5 digits after the decimal point.</p>
|
||
|
|
<p>The implementation is based on table lookup using 360 values together with linear interpolation. The steps used are:</p>
|
||
|
|
<ol type="1">
|
||
|
|
<li>Calculation of the nearest integer table index.</li>
|
||
|
|
<li>Compute the fractional portion (fract) of the input.</li>
|
||
|
|
<li>Fetch the value corresponding to <code>index</code> from sine table to <code>y0</code> and also value from <code>index+1</code> to <code>y1</code>.</li>
|
||
|
|
<li>Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.</li>
|
||
|
|
<li>Fetch the value corresponding to <code>index</code> from cosine table to <code>y0</code> and also value from <code>index+1</code> to <code>y1</code>.</li>
|
||
|
|
<li>Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>. </li>
|
||
|
|
</ol>
|
||
|
|
<h2 class="groupheader">Function Documentation</h2>
|
||
|
|
<a class="anchor" id="ga4420d45c37d58c310ef9ae1b5fe58020"></a>
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">void arm_sin_cos_f32 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
|
||
|
|
<td class="paramname"><em>theta</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
|
||
|
|
<td class="paramname"><em>pSinVal</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
|
||
|
|
<td class="paramname"><em>pCosVal</em> </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td></td>
|
||
|
|
<td>)</td>
|
||
|
|
<td></td><td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>input value in degrees </td></tr>
|
||
|
|
<tr><td class="paramdir">[out]</td><td class="paramname">*pSinVal</td><td>points to the processed sine output. </td></tr>
|
||
|
|
<tr><td class="paramdir">[out]</td><td class="paramname">*pCosVal</td><td>points to the processed cos output. </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
|
||
|
|
|
||
|
|
<p>References <a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>, and <a class="el" href="arm__common__tables_8h.html#a1dec82d596780f1a66ef4f76f137c1d9">sinTable_f32</a>.</p>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a class="anchor" id="gae9e4ddebff9d4eb5d0a093e28e0bc504"></a>
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">void arm_sin_cos_q31 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
|
||
|
|
<td class="paramname"><em>theta</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
|
||
|
|
<td class="paramname"><em>pSinVal</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
|
||
|
|
<td class="paramname"><em>pCosVal</em> </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td></td>
|
||
|
|
<td>)</td>
|
||
|
|
<td></td><td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>scaled input value in degrees </td></tr>
|
||
|
|
<tr><td class="paramdir">[out]</td><td class="paramname">*pSinVal</td><td>points to the processed sine output. </td></tr>
|
||
|
|
<tr><td class="paramdir">[out]</td><td class="paramname">*pCosVal</td><td>points to the processed cosine output. </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
|
||
|
|
<p>The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179]. </p>
|
||
|
|
|
||
|
|
<p>References <a class="el" href="arm__math_8h.html#a9a94b78de0f083bd8fadf3c3abe40431">clip_q63_to_q31()</a>, <a class="el" href="arm__math_8h.html#aaff6d2358c4ada8de838a279254ab550">CONTROLLER_Q31_SHIFT</a>, and <a class="el" href="arm__common__tables_8h.html#a8bfccee9e1c0042cf4a765f4b19d097d">sinTable_q31</a>.</p>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
</div><!-- contents -->
|
||
|
|
</div><!-- doc-content -->
|
||
|
|
<!-- start footer part -->
|
||
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||
|
|
<ul>
|
||
|
|
<li class="footer">Generated on Wed Feb 8 2017 10:20:51 for CMSIS-DSP by ARM Ltd. All rights reserved.
|
||
|
|
<!--
|
||
|
|
<a href="http://www.doxygen.org/index.html">
|
||
|
|
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.6
|
||
|
|
-->
|
||
|
|
</li>
|
||
|
|
</ul>
|
||
|
|
</div>
|
||
|
|
</body>
|
||
|
|
</html>
|