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<a href="#func-members">Functions</a> </div>
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<div class="title">Partial Convolution<div class="ingroups"><a class="el" href="group__groupFilters.html">Filtering Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga4e65902884d148ebcbecc260e0dffdd9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#ga4e65902884d148ebcbecc260e0dffdd9">arm_conv_partial_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:ga4e65902884d148ebcbecc260e0dffdd9"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of floating-point sequences. <a href="#ga4e65902884d148ebcbecc260e0dffdd9">More...</a><br/></td></tr>
<tr class="separator:ga4e65902884d148ebcbecc260e0dffdd9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga0cdb871f952b8c1305342ae499affa41"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#ga0cdb871f952b8c1305342ae499affa41">arm_conv_partial_fast_opt_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
<tr class="memdesc:ga0cdb871f952b8c1305342ae499affa41"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q15 sequences (fast version). <a href="#ga0cdb871f952b8c1305342ae499affa41">More...</a><br/></td></tr>
<tr class="separator:ga0cdb871f952b8c1305342ae499affa41"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga30eb5ce84581f2d0532a17cdf8a20fc5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#ga30eb5ce84581f2d0532a17cdf8a20fc5">arm_conv_partial_fast_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:ga30eb5ce84581f2d0532a17cdf8a20fc5"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q15 sequences (fast version). <a href="#ga30eb5ce84581f2d0532a17cdf8a20fc5">More...</a><br/></td></tr>
<tr class="separator:ga30eb5ce84581f2d0532a17cdf8a20fc5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaaf207e31aa081cea624713aec65d0e77"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#gaaf207e31aa081cea624713aec65d0e77">arm_conv_partial_fast_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:gaaf207e31aa081cea624713aec65d0e77"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q31 sequences (fast version). <a href="#gaaf207e31aa081cea624713aec65d0e77">More...</a><br/></td></tr>
<tr class="separator:gaaf207e31aa081cea624713aec65d0e77"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaa82f8213533529e9b9252b37fd3b39e4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#gaa82f8213533529e9b9252b37fd3b39e4">arm_conv_partial_opt_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
<tr class="memdesc:gaa82f8213533529e9b9252b37fd3b39e4"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q15 sequences. <a href="#gaa82f8213533529e9b9252b37fd3b39e4">More...</a><br/></td></tr>
<tr class="separator:gaa82f8213533529e9b9252b37fd3b39e4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gadfc0cd0290793c790ccaa1c73eda0694"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#gadfc0cd0290793c790ccaa1c73eda0694">arm_conv_partial_opt_q7</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
<tr class="memdesc:gadfc0cd0290793c790ccaa1c73eda0694"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q7 sequences. <a href="#gadfc0cd0290793c790ccaa1c73eda0694">More...</a><br/></td></tr>
<tr class="separator:gadfc0cd0290793c790ccaa1c73eda0694"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga09b1f207980df75c2dcf01b1d3c2006f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#ga09b1f207980df75c2dcf01b1d3c2006f">arm_conv_partial_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:ga09b1f207980df75c2dcf01b1d3c2006f"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q15 sequences. <a href="#ga09b1f207980df75c2dcf01b1d3c2006f">More...</a><br/></td></tr>
<tr class="separator:ga09b1f207980df75c2dcf01b1d3c2006f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gadc48f14ae5ca8bf4b026916db0765afa"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#gadc48f14ae5ca8bf4b026916db0765afa">arm_conv_partial_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:gadc48f14ae5ca8bf4b026916db0765afa"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q31 sequences. <a href="#gadc48f14ae5ca8bf4b026916db0765afa">More...</a><br/></td></tr>
<tr class="separator:gadc48f14ae5ca8bf4b026916db0765afa"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaa1bf3428dbe6beb5c9957bff0d00fa19"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__PartialConv.html#gaa1bf3428dbe6beb5c9957bff0d00fa19">arm_conv_partial_q7</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
<tr class="memdesc:gaa1bf3428dbe6beb5c9957bff0d00fa19"><td class="mdescLeft"> </td><td class="mdescRight">Partial convolution of Q7 sequences. <a href="#gaa1bf3428dbe6beb5c9957bff0d00fa19">More...</a><br/></td></tr>
<tr class="separator:gaa1bf3428dbe6beb5c9957bff0d00fa19"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated. Each function has two additional arguments. <code>firstIndex</code> specifies the starting index of the subset of output samples. <code>numPoints</code> is the number of output samples to compute. The function computes the output in the range <code>[firstIndex, ..., firstIndex+numPoints-1]</code>. The output array <code>pDst</code> contains <code>numPoints</code> values.</p>
<p>The allowable range of output indices is [0 srcALen+srcBLen-2]. If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR. Otherwise the functions return ARM_MATH_SUCCESS. </p>
<dl class="section note"><dt>Note</dt><dd>Refer to <a class="el" href="group__Conv.html#ga2e977f76e873bd47c6c41c7d940fdf7e">arm_conv_f32()</a> for details on fixed point behavior.</dd></dl>
<dl class="section user"><dt>Fast Versions</dt><dd>Fast versions are supported for Q31 and Q15 of partial convolution. Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires the input signals should be scaled down to avoid intermediate overflows.</dd></dl>
<dl class="section user"><dt>Opt Versions</dt><dd>Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of partial convolution </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2] </li>
</ul>
</dd></dl>
</div>
</div>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_opt_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch2</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2 </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#ga09b1f207980df75c2dcf01b1d3c2006f">arm_conv_partial_q15()</a> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. </dd></dl>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2] </li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#ga09b1f207980df75c2dcf01b1d3c2006f">arm_conv_partial_q15()</a> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. </dd></dl>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#gadc48f14ae5ca8bf4b026916db0765afa">arm_conv_partial_q31()</a> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. </dd></dl>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_opt_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch2</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen). </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#ga30eb5ce84581f2d0532a17cdf8a20fc5">arm_conv_partial_fast_q15()</a> for a faster but less precise version of this function. </dd></dl>
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<a class="anchor" id="gadfc0cd0290793c790ccaa1c73eda0694"></a>
<div class="memitem">
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<table class="memname">
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_opt_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pScratch2</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch1</td><td>points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pScratch2</td><td>points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2] </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga09b1f207980df75c2dcf01b1d3c2006f"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#ga30eb5ce84581f2d0532a17cdf8a20fc5">arm_conv_partial_fast_q15()</a> for a faster but less precise version of this function. </dd>
<dd>
Refer to <a class="el" href="group__PartialConv.html#gaa82f8213533529e9b9252b37fd3b39e4">arm_conv_partial_opt_q15()</a> for a faster implementation of this function using scratch buffers. </dd></dl>
</div>
</div>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#gaaf207e31aa081cea624713aec65d0e77">arm_conv_partial_fast_q31()</a> for a faster but less precise implementation of this function. </dd></dl>
</div>
</div>
<a class="anchor" id="gaa1bf3428dbe6beb5c9957bff0d00fa19"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcALen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>srcBLen</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>firstIndex</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numPoints</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">pSrcA</td><td>points to the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input sequence </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the location where the output result is written </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : requested subset is not in the range [0 srcALen+srcBLen-2]</li>
</ul>
</dd></dl>
<dl class="section remark"><dt>Remarks</dt><dd>Refer to <a class="el" href="group__PartialConv.html#gadfc0cd0290793c790ccaa1c73eda0694">arm_conv_partial_opt_q7()</a> for a faster implementation of this function. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Root mean square (RMS)<div class="ingroups"><a class="el" href="group__groupStats.html">Statistics Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:gaeb487e726e3755a7614a29c9d16a93e7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RMS.html#gaeb487e726e3755a7614a29c9d16a93e7">arm_rms_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
<tr class="memdesc:gaeb487e726e3755a7614a29c9d16a93e7"><td class="mdescLeft"> </td><td class="mdescRight">Root Mean Square of the elements of a floating-point vector. <a href="#gaeb487e726e3755a7614a29c9d16a93e7">More...</a><br/></td></tr>
<tr class="separator:gaeb487e726e3755a7614a29c9d16a93e7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga8be796318d41c7cbb68f8f3c0b96020f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RMS.html#ga8be796318d41c7cbb68f8f3c0b96020f">arm_rms_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
<tr class="memdesc:ga8be796318d41c7cbb68f8f3c0b96020f"><td class="mdescLeft"> </td><td class="mdescRight">Root Mean Square of the elements of a Q15 vector. <a href="#ga8be796318d41c7cbb68f8f3c0b96020f">More...</a><br/></td></tr>
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<tr class="memitem:ga20586bc59cabbfc38a935c2448833dd2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RMS.html#ga20586bc59cabbfc38a935c2448833dd2">arm_rms_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
<tr class="memdesc:ga20586bc59cabbfc38a935c2448833dd2"><td class="mdescLeft"> </td><td class="mdescRight">Root Mean Square of the elements of a Q31 vector. <a href="#ga20586bc59cabbfc38a935c2448833dd2">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Calculates the Root Mean Square of the elements in the input vector. The underlying algorithm is used:</p>
<pre>
Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));
</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaeb487e726e3755a7614a29c9d16a93e7"></a>
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<td class="memname">void arm_rms_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>root mean square value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga8be796318d41c7cbb68f8f3c0b96020f"></a>
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<td class="memname">void arm_rms_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>root mean square value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
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<td class="memname">void arm_rms_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>root mean square value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, and intermediate multiplication yields a 2.62 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a single guard bit. There is no saturation on intermediate additions. If the accumulator overflows, it wraps around and distorts the result. In order to avoid overflows completely, the input signal must be scaled down by log2(blockSize) bits, as a total of blockSize additions are performed internally. Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. </dd></dl>
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<tr class="memitem:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32</a> (const <a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
<tr class="memdesc:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="mdescLeft"> </td><td class="mdescRight">Processing function for the floating-point RFFT/RIFFT. <a href="#ga3df1766d230532bc068fc4ed69d0fcdc">More...</a><br/></td></tr>
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<tr class="memitem:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, uint8_t <a class="el" href="arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>)</td></tr>
<tr class="memdesc:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="mdescLeft"> </td><td class="mdescRight">Processing function for the floating-point real FFT. <a href="#ga180d8b764d59cbb85d37a2d5f7cd9799">More...</a><br/></td></tr>
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<tr class="memitem:ga153c8faa97b7ab8b1aef75fe6ac1b3a2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#ga153c8faa97b7ab8b1aef75fe6ac1b3a2">arm_rfft_32_fast_init_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S)</td></tr>
<tr class="memdesc:ga153c8faa97b7ab8b1aef75fe6ac1b3a2"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 32pt floating-point real FFT. <a href="#ga153c8faa97b7ab8b1aef75fe6ac1b3a2">More...</a><br/></td></tr>
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<tr class="memdesc:ga0f67de6a0e5d87011f35426112d2d91b"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 64pt floating-point real FFT. <a href="#ga0f67de6a0e5d87011f35426112d2d91b">More...</a><br/></td></tr>
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<tr class="memdesc:gade8432f9318953234761e8e0f2c9e1d2"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 128pt floating-point real FFT. <a href="#gade8432f9318953234761e8e0f2c9e1d2">More...</a><br/></td></tr>
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<tr class="memdesc:ga678afbb042d942c3dd5a33877ef66492"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 256pt floating-point real FFT. <a href="#ga678afbb042d942c3dd5a33877ef66492">More...</a><br/></td></tr>
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<tr class="memdesc:ga9a0e72918318f9d1c03973eab379e580"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 512pt floating-point real FFT. <a href="#ga9a0e72918318f9d1c03973eab379e580">More...</a><br/></td></tr>
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<tr class="memdesc:ga71547c601079d55c2525204aa00ef9c2"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 1024pt floating-point real FFT. <a href="#ga71547c601079d55c2525204aa00ef9c2">More...</a><br/></td></tr>
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<tr class="memdesc:ga33724310a8360ac289d5a835282f778c"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 2048pt floating-point real FFT. <a href="#ga33724310a8360ac289d5a835282f778c">More...</a><br/></td></tr>
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<tr class="memdesc:gaad50a08bb8191e1a138b5f72a268727a"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the 4096pt floating-point real FFT. <a href="#gaad50a08bb8191e1a138b5f72a268727a">More...</a><br/></td></tr>
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<tr class="memdesc:gac5fceb172551e7c11eb4d0e17ef15aa3"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the floating-point real FFT. <a href="#gac5fceb172551e7c11eb4d0e17ef15aa3">More...</a><br/></td></tr>
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<tr class="memdesc:ga10717ee326bf50832ef1c25b85a23068"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the floating-point RFFT/RIFFT. <a href="#ga10717ee326bf50832ef1c25b85a23068">More...</a><br/></td></tr>
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<tr class="memitem:ga053450cc600a55410ba5b5605e96245d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15</a> (<a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *S, uint32_t fftLenReal, uint32_t ifftFlagR, uint32_t bitReverseFlag)</td></tr>
<tr class="memdesc:ga053450cc600a55410ba5b5605e96245d"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the Q15 RFFT/RIFFT. <a href="#ga053450cc600a55410ba5b5605e96245d">More...</a><br/></td></tr>
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<tr class="memdesc:ga5abde938abbe72e95c5bab080eb33c45"><td class="mdescLeft"> </td><td class="mdescRight">Initialization function for the Q31 RFFT/RIFFT. <a href="#ga5abde938abbe72e95c5bab080eb33c45">More...</a><br/></td></tr>
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<tr class="memitem:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15</a> (const <a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
<tr class="memdesc:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="mdescLeft"> </td><td class="mdescRight">Processing function for the Q15 RFFT/RIFFT. <a href="#ga00e615f5db21736ad5b27fb6146f3fc5">More...</a><br/></td></tr>
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<tr class="memitem:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31</a> (const <a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
<tr class="memdesc:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="mdescLeft"> </td><td class="mdescRight">Processing function for the Q31 RFFT/RIFFT. <a href="#gabaeab5646aeea9844e6d42ca8c73fe3a">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<dl class="section user"><dt></dt><dd>The CMSIS DSP library includes specialized algorithms for computing the FFT of real data sequences. The FFT is defined over complex data but in many applications the input is real. Real FFT algorithms take advantage of the symmetry properties of the FFT and have a speed advantage over complex algorithms of the same length. </dd></dl>
<dl class="section user"><dt></dt><dd>The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage. </dd></dl>
<dl class="section user"><dt></dt><dd>The real length N forward FFT of a sequence is computed using the steps shown below. </dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RFFT.gif" alt="RFFT.gif"/>
<div class="caption">
Real Fast Fourier Transform</div></div>
</dd></dl>
<dl class="section user"><dt></dt><dd>The real sequence is initially treated as if it were complex to perform a CFFT. Later, a processing stage reshapes the data to obtain half of the frequency spectrum in complex format. Except the first complex number that contains the two real numbers X[0] and X[N/2] all the data is complex. In other words, the first complex sample contains two real values packed. </dd></dl>
<dl class="section user"><dt></dt><dd>The input for the inverse RFFT should keep the same format as the output of the forward RFFT. A first processing stage pre-process the data to later perform an inverse CFFT. </dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RIFFT.gif" alt="RIFFT.gif"/>
<div class="caption">
Real Inverse Fast Fourier Transform</div></div>
</dd></dl>
<dl class="section user"><dt></dt><dd>The algorithms for floating-point, Q15, and Q31 data are slightly different and we describe each algorithm in turn. </dd></dl>
<dl class="section user"><dt>Floating-point</dt><dd>The main functions are <a class="el" href="group__RealFFT.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a> and <a class="el" href="group__RealFFT.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>. The older functions <a class="el" href="group__RealFFT.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a> and <a class="el" href="group__RealFFT.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a> have been deprecated but are still documented. </dd></dl>
<dl class="section user"><dt></dt><dd>The FFT of a real N-point sequence has even symmetry in the frequency domain. The second half of the data equals the conjugate of the first half flipped in frequency. Looking at the data, we see that we can uniquely represent the FFT using only N/2 complex numbers. These are packed into the output array in alternating real and imaginary components: </dd></dl>
<dl class="section user"><dt></dt><dd>X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ... real[(N/2)-1], imag[(N/2)-1 } </dd></dl>
<dl class="section user"><dt></dt><dd>It happens that the first complex number (real[0], imag[0]) is actually all real. real[0] represents the DC offset, and imag[0] should be 0. (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is the first harmonic and so on. </dd></dl>
<dl class="section user"><dt></dt><dd>The real FFT functions pack the frequency domain data in this fashion. The forward transform outputs the data in this form and the inverse transform expects input data in this form. The function always performs the needed bitreversal so that the input and output data is always in normal order. The functions support lengths of [32, 64, 128, ..., 4096] samples. </dd></dl>
<dl class="section user"><dt>Q15 and Q31</dt><dd>The real algorithms are defined in a similar manner and utilize N/2 complex transforms behind the scenes. </dd></dl>
<dl class="section user"><dt></dt><dd>The complex transforms used internally include scaling to prevent fixed-point overflows. The overall scaling equals 1/(fftLen/2). </dd></dl>
<dl class="section user"><dt></dt><dd>A separate instance structure must be defined for each transform used but twiddle factor and bit reversal tables can be reused. </dd></dl>
<dl class="section user"><dt></dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
<li>Sets the values of the internal structure fields.</li>
<li>Initializes twiddle factor table and bit reversal table pointers.</li>
<li>Initializes the internal complex FFT data structure. </li>
</ul>
</dd></dl>
<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure should be manually initialized as follows: <pre>
<a class="el" href="structarm__rfft__instance__q31.html" title="Instance structure for the Q31 RFFT/RIFFT function. ">arm_rfft_instance_q31</a> S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
<a class="el" href="structarm__rfft__instance__q15.html" title="Instance structure for the Q15 RFFT/RIFFT function. ">arm_rfft_instance_q15</a> S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
</pre> where <code>fftLenReal</code> is the length of the real transform; <code>fftLenBy2</code> length of the internal complex transform. <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform. <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order output (=1). <code>twidCoefRModifier</code> stride modifier for the twiddle factor table. The value is based on the FFT length; <code>pTwiddleAReal</code>points to the A array of twiddle coefficients; <code>pTwiddleBReal</code>points to the B array of twiddle coefficients; <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure must also be initialized. Refer to <a class="el" href="group__ComplexFFT.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT. ">arm_cfft_radix4_f32()</a> for details regarding static initialization of the complex FFT instance structure. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_1024_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_128_fast_init_f32 </td>
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<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></td><td>)</td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
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<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga678afbb042d942c3dd5a33877ef66492"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_256_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga153c8faa97b7ab8b1aef75fe6ac1b3a2"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_32_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="gaad50a08bb8191e1a138b5f72a268727a"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_4096_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga9a0e72918318f9d1c03973eab379e580"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_512_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga0f67de6a0e5d87011f35426112d2d91b"></a>
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<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_64_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em></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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : an error is detected </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga3df1766d230532bc068fc4ed69d0fcdc"></a>
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<td class="memname">void arm_rfft_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> * </td>
<td class="paramname"><em>S</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>pSrc</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>pDst</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000014">Deprecated:</a></b></dt><dd>Do not use this function. It has been superceded by <a class="el" href="group__RealFFT.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> and will be removed in the future. <dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">S</td><td>points to an instance of the floating-point RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to the input buffer </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output buffer </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga180d8b764d59cbb85d37a2d5f7cd9799"></a>
<div class="memitem">
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<tr>
<td class="memname">void arm_rfft_fast_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</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>p</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>pOut</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint8_t </td>
<td class="paramname"><em>ifftFlag</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">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p</td><td>points to input buffer </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pOut</td><td>points to output buffer </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td><ul>
<li>value = 0: RFFT</li>
<li>value = 1: RIFFT </li>
</ul>
</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gac5fceb172551e7c11eb4d0e17ef15aa3"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_fast_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint16_t </td>
<td class="paramname"><em>fftLen</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,out]</td><td class="paramname">S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function. ">arm_rfft_fast_instance_f32</a> structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the Real Sequence </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : <code>fftLen</code> is not a supported length</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Description</dt><dd>The parameter <code>fftLen</code> specifies the length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. </dd></dl>
<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
</div>
</div>
<a class="anchor" id="ga10717ee326bf50832ef1c25b85a23068"></a>
<div class="memitem">
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<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> * </td>
<td class="paramname"><em>S_CFFT</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>fftLenReal</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>ifftFlagR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>bitReverseFlag</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000015">Deprecated:</a></b></dt><dd>Do not use this function. It has been superceded by <a class="el" href="group__RealFFT.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32</a> and will be removed in the future. <dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the floating-point RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in,out]</td><td class="paramname">S_CFFT</td><td>points to an instance of the floating-point CFFT/CIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects transform direction<ul>
<li>value = 0: forward transform</li>
<li>value = 1: inverse transform </li>
</ul>
</td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables / disables bit reversal of output<ul>
<li>value = 0: disables bit reversal of output</li>
<li>value = 1: enables bit reversal of output </li>
</ul>
</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : <code>fftLenReal</code> is not a supported length</li>
</ul>
</dd></dl>
</dd></dl>
<dl class="section user"><dt>Description</dt><dd>The parameter <code>fftLenReal</code>specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
<dl class="section user"><dt></dt><dd>This function also initializes Twiddle factor table. </dd></dl>
</div>
</div>
<a class="anchor" id="ga053450cc600a55410ba5b5605e96245d"></a>
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<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>fftLenReal</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>ifftFlagR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>bitReverseFlag</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,out]</td><td class="paramname">S</td><td>points to an instance of the Q15 RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects transform direction<ul>
<li>value = 0: forward transform</li>
<li>value = 1: inverse transform </li>
</ul>
</td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables / disables bit reversal of output<ul>
<li>value = 0: disables bit reversal of output</li>
<li>value = 1: enables bit reversal of output </li>
</ul>
</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : <code>fftLenReal</code> is not a supported length</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The parameter <code>fftLenReal</code> specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
<dl class="section user"><dt></dt><dd>This function also initializes Twiddle factor table. </dd></dl>
</div>
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>fftLenReal</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>ifftFlagR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>bitReverseFlag</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,out]</td><td class="paramname">S</td><td>points to an instance of the Q31 RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects transform direction<ul>
<li>value = 0: forward transform</li>
<li>value = 1: inverse transform </li>
</ul>
</td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables / disables bit reversal of output<ul>
<li>value = 0: disables bit reversal of output</li>
<li>value = 1: enables bit reversal of output </li>
</ul>
</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : Operation successful</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : <code>fftLenReal</code> is not a supported length</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The parameter <code>fftLenReal</code> specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
<dl class="section user"><dt></dt><dd>This function also initializes Twiddle factor table. </dd></dl>
</div>
</div>
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<td class="memname">void arm_rfft_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> * </td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</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">S</td><td>points to an instance of the Q15 RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input buffer </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output buffer </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Input an output formats</dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different RFFT sizes. The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: </dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RFFTQ15.gif" alt="RFFTQ15.gif"/>
<div class="caption">
Input and Output Formats for Q15 RFFT</div></div>
</dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RIFFTQ15.gif" alt="RIFFTQ15.gif"/>
<div class="caption">
Input and Output Formats for Q15 RIFFT</div></div>
</dd></dl>
</div>
</div>
<a class="anchor" id="gabaeab5646aeea9844e6d42ca8c73fe3a"></a>
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<td class="memname">void arm_rfft_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> * </td>
<td class="paramname"><em>S</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>pSrc</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>pDst</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">S</td><td>points to an instance of the Q31 RFFT/RIFFT structure </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to input buffer </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output buffer </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Input an output formats</dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different RFFT sizes. The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: </dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RFFTQ31.gif" alt="RFFTQ31.gif"/>
<div class="caption">
Input and Output Formats for Q31 RFFT</div></div>
</dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="RIFFTQ31.gif" alt="RIFFTQ31.gif"/>
<div class="caption">
Input and Output Formats for Q31 RIFFT</div></div>
</dd></dl>
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<a href="#func-members">Functions</a> |
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<div class="title">Real FFT Tables<div class="ingroups"><a class="el" href="group__RealFFT.html">Real FFT Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:ga70c20a29dce002df289426d5b4f67fa8"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT__Table.html#ga70c20a29dce002df289426d5b4f67fa8">__ALIGNED</a> (4)</td></tr>
<tr class="memdesc:ga70c20a29dce002df289426d5b4f67fa8"><td class="mdescLeft"> </td><td class="mdescRight">Weights Table. <a href="#ga70c20a29dce002df289426d5b4f67fa8">More...</a><br/></td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ga8b1ad947c470596674fa3364e16045c6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT__Table.html#ga8b1ad947c470596674fa3364e16045c6">realCoefA</a> [8192]</td></tr>
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<tr class="memitem:gac52f98b52a1f03bfac8b57a67ba07397"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT__Table.html#gac52f98b52a1f03bfac8b57a67ba07397">realCoefB</a> [8192]</td></tr>
<tr class="separator:gac52f98b52a1f03bfac8b57a67ba07397"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaf1592a6cf0504675205074a43c3728a2"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT__Table.html#gaf1592a6cf0504675205074a43c3728a2">realCoefAQ31</a> [8192]</td></tr>
<tr class="separator:gaf1592a6cf0504675205074a43c3728a2"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga1eb5745728a61c3715755f5d69a4a960"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__RealFFT__Table.html#ga1eb5745728a61c3715755f5d69a4a960">realCoefBQ31</a> [8192]</td></tr>
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</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> __ALIGNED </td>
<td>(</td>
<td class="paramtype">4 </td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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<p>Q15 table for reciprocal.</p>
<dl class="section user"><dt></dt><dd>Generation fixed-point realCoefAQ15 array in Q15 format: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
}</pre> </dd></dl>
<dl class="section user"><dt></dt><dd>Convert to fixed point Q15 format round(pATable[i] * pow(2, 15))</dd></dl>
<dl class="section user"><dt></dt><dd>Generation of real_CoefB array: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
}</pre> </dd></dl>
<dl class="section user"><dt></dt><dd>Convert to fixed point Q15 format round(pBTable[i] * pow(2, 15))</dd></dl>
<dl class="section user"><dt></dt><dd>Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> </dd></dl>
<dl class="section user"><dt></dt><dd>C command to generate the table <pre>
for(i = 0; i< N; i++)
{
weights[(2*i)] = cos(i*c);
weights[(2*i)+1] = -sin(i*c);
} </pre> </dd></dl>
<dl class="section user"><dt></dt><dd>where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
<dl class="section user"><dt></dt><dd>Converted the output to q15 format by multiplying with 2^31 and saturated if required. </dd></dl>
<dl class="section user"><dt></dt><dd>In the tables below the real and imaginary values are placed alternatively, hence the array length is <code>2*N</code>. </dd></dl>
<dl class="section user"><dt></dt><dd>cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre> </dd></dl>
<dl class="section user"><dt></dt><dd>C command to generate the table <pre>
for (i = 0; i< N; i++)
{
cos_factors[i] = 2 * cos((2*i+1)*c/2);
} </pre> </dd></dl>
<dl class="section user"><dt></dt><dd>where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
<dl class="section user"><dt></dt><dd>Then converted to q15 format by multiplying with 2^31 and saturated if required.</dd></dl>
<p>end of DCT4_IDCT4_Table group </p>
</div>
</div>
<h2 class="groupheader">Variable Documentation</h2>
<a class="anchor" id="ga8b1ad947c470596674fa3364e16045c6"></a>
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<td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> realCoefA[8192]</td>
</tr>
</table>
</div><div class="memdoc">
<dl class="section user"><dt></dt><dd>Generation of realCoefA array: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
}</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="gaf1592a6cf0504675205074a43c3728a2"></a>
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<td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> realCoefAQ31[8192]</td>
</tr>
</table>
</div><div class="memdoc">
<dl class="section user"><dt></dt><dd>Generation fixed-point realCoefAQ31 array in Q31 format: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
}</pre> </dd></dl>
<dl class="section user"><dt></dt><dd>Convert to fixed point Q31 format round(pATable[i] * pow(2, 31)) </dd></dl>
</div>
</div>
<a class="anchor" id="gac52f98b52a1f03bfac8b57a67ba07397"></a>
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<td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> realCoefB[8192]</td>
</tr>
</table>
</div><div class="memdoc">
<dl class="section user"><dt></dt><dd>Generation of realCoefB array: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
}</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="ga1eb5745728a61c3715755f5d69a4a960"></a>
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<td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> realCoefBQ31[8192]</td>
</tr>
</table>
</div><div class="memdoc">
<dl class="section user"><dt></dt><dd>Generation of realCoefBQ31 array: </dd></dl>
<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i < n; i++)
{
pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
} </pre> </dd></dl>
<dl class="section user"><dt></dt><dd>Convert to fixed point Q31 format round(pBTable[i] * pow(2, 31)) </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Square Root<div class="ingroups"><a class="el" href="group__groupFastMath.html">Fast Math Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga5f37f479666ee8ff9711b334286c60ed"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga5f37f479666ee8ff9711b334286c60ed">arm_sqrt_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> in, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut)</td></tr>
<tr class="memdesc:ga5f37f479666ee8ff9711b334286c60ed"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point square root function. <a href="#ga5f37f479666ee8ff9711b334286c60ed">More...</a><br/></td></tr>
<tr class="separator:ga5f37f479666ee8ff9711b334286c60ed"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga119e25831e141d734d7ef10636670058"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> in, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut)</td></tr>
<tr class="memdesc:ga119e25831e141d734d7ef10636670058"><td class="mdescLeft"> </td><td class="mdescRight">Q31 square root function. <a href="#ga119e25831e141d734d7ef10636670058">More...</a><br/></td></tr>
<tr class="separator:ga119e25831e141d734d7ef10636670058"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga5abe5ca724f3e15849662b03752c1238"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> in, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut)</td></tr>
<tr class="memdesc:ga5abe5ca724f3e15849662b03752c1238"><td class="mdescLeft"> </td><td class="mdescRight">Q15 square root function. <a href="#ga5abe5ca724f3e15849662b03752c1238">More...</a><br/></td></tr>
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<tr class="memitem:gaa9b8a2bea8a22489bfd968eb4687a7bd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#gaa9b8a2bea8a22489bfd968eb4687a7bd">arm_vsqrt_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, uint16_t len)</td></tr>
<tr class="memdesc:gaa9b8a2bea8a22489bfd968eb4687a7bd"><td class="mdescLeft"> </td><td class="mdescRight">Vector Floating-point square root function. <a href="#gaa9b8a2bea8a22489bfd968eb4687a7bd">More...</a><br/></td></tr>
<tr class="separator:gaa9b8a2bea8a22489bfd968eb4687a7bd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga5955b76f2a60c1636ff507182000193d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga5955b76f2a60c1636ff507182000193d">arm_vsqrt_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint16_t len)</td></tr>
<tr class="separator:ga5955b76f2a60c1636ff507182000193d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga793f913a2b3a8f45577db36136954cdc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga793f913a2b3a8f45577db36136954cdc">arm_vsqrt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint16_t len)</td></tr>
<tr class="separator:ga793f913a2b3a8f45577db36136954cdc"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the square root of a number. There are separate functions for Q15, Q31, and floating-point data types. The square root function is computed using the Newton-Raphson algorithm. This is an iterative algorithm of the form: </p>
<pre>
x1 = x0 - f(x0)/f'(x0)
</pre><p> where <code>x1</code> is the current estimate, <code>x0</code> is the previous estimate, and <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>. For the square root function, the algorithm reduces to: </p>
<pre>
x0 = in/2 [initial guess]
x1 = 1/2 * ( x0 + in / x0) [each iteration]
</pre> <h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga5f37f479666ee8ff9711b334286c60ed"></a>
<div class="memitem">
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<td class="memname">__STATIC_FORCEINLINE <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>in</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>pOut</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">in</td><td>input value </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : input value is positive</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : input value is negative; *pOut is set to 0 </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga5abe5ca724f3e15849662b03752c1238"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td>
<td class="paramname"><em>in</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pOut</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">in</td><td>input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>points to square root of input value </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : input value is positive</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : input value is negative; *pOut is set to 0 </li>
</ul>
</dd></dl>
</div>
</div>
<a class="anchor" id="ga119e25831e141d734d7ef10636670058"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>in</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>pOut</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">in</td><td>input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>points to square root of input value </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>execution status<ul>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a> : input value is positive</li>
<li><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a> : input value is negative; *pOut is set to 0 </li>
</ul>
</dd></dl>
</div>
</div>
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<div class="memitem">
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<td class="memname">void arm_vsqrt_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pIn</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>pOut</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint16_t </td>
<td class="paramname"><em>len</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">pIn</td><td>input vector. </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>vector of square roots of input elements. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">len</td><td>length of input vector. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if <code>in</code> is negative value and returns zero output for negative values. </dd></dl>
</div>
</div>
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<td class="memname">void arm_vsqrt_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pIn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pOut</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint16_t </td>
<td class="paramname"><em>len</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
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<td class="memname">void arm_vsqrt_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pIn</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>pOut</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint16_t </td>
<td class="paramname"><em>len</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Standard deviation<div class="ingroups"><a class="el" href="group__groupStats.html">Statistics 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:ga287b6ce703636c7e8cb9833b290ae4ce"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#ga287b6ce703636c7e8cb9833b290ae4ce">arm_std_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
<tr class="memdesc:ga287b6ce703636c7e8cb9833b290ae4ce"><td class="mdescLeft"> </td><td class="mdescRight">Standard deviation of the elements of a floating-point vector. <a href="#ga287b6ce703636c7e8cb9833b290ae4ce">More...</a><br/></td></tr>
<tr class="separator:ga287b6ce703636c7e8cb9833b290ae4ce"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga4179a8150b161ce2c3d734d8cb19cebe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#ga4179a8150b161ce2c3d734d8cb19cebe">arm_std_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
<tr class="memdesc:ga4179a8150b161ce2c3d734d8cb19cebe"><td class="mdescLeft"> </td><td class="mdescRight">Standard deviation of the elements of a Q15 vector. <a href="#ga4179a8150b161ce2c3d734d8cb19cebe">More...</a><br/></td></tr>
<tr class="separator:ga4179a8150b161ce2c3d734d8cb19cebe"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gafe382f5d8f3e7d310f2e2f2b5d873797"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#gafe382f5d8f3e7d310f2e2f2b5d873797">arm_std_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
<tr class="memdesc:gafe382f5d8f3e7d310f2e2f2b5d873797"><td class="mdescLeft"> </td><td class="mdescRight">Standard deviation of the elements of a Q31 vector. <a href="#gafe382f5d8f3e7d310f2e2f2b5d873797">More...</a><br/></td></tr>
<tr class="separator:gafe382f5d8f3e7d310f2e2f2b5d873797"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Calculates the standard deviation of the elements in the input vector. The underlying algorithm is used:</p>
<pre>
Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1))</pre><pre> sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]
sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga287b6ce703636c7e8cb9833b290ae4ce"></a>
<div class="memitem">
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<td class="memname">void arm_std_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>standard deviation value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga4179a8150b161ce2c3d734d8cb19cebe"></a>
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<td class="memname">void arm_std_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>standard deviation value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gafe382f5d8f3e7d310f2e2f2b5d873797"></a>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">void arm_std_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector. </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>standard deviation value returned here. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, which is then downshifted by 8 bits which yields 1.23, and intermediate multiplication yields a 2.46 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a 16 guard bits. There is no saturation on intermediate additions. If the accumulator overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. After division, internal variables should be Q18.46 Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. </dd></dl>
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[ "arm_std_q15", "group__STD.html#ga4179a8150b161ce2c3d734d8cb19cebe", null ],
[ "arm_std_q31", "group__STD.html#gafe382f5d8f3e7d310f2e2f2b5d873797", null ]
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<div class="title">Signal Convergence Example<div class="ingroups"><a class="el" href="group__groupExamples.html">Examples</a></div></div> </div>
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<dl class="section user"><dt>Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>Demonstrates the ability of an adaptive filter to "learn" the transfer function of a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse Response (FIR) Filter, and Basic Math Functions.</dd></dl>
<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>The figure below illustrates the signal flow in this example. Uniformly distributed white noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the reference input of the adaptive filter (normalized LMS filter). The white noise is input to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter. The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and (2) the error signal which is the difference between the adaptive filter and the reference output of the FIR filter. Over time as the adaptive filter learns the transfer function of the FIR filter, the first output approaches the reference output of the FIR filter, and the error signal approaches zero. </dd></dl>
<dl class="section user"><dt></dt><dd>The adaptive filter converges properly even if the input signal has a large dynamic range (i.e., varies from small to large values). The coefficients of the adaptive filter are initially zero, and then converge over 1536 samples. The internal function <a class="el" href="arm__signal__converge__example__f32_8c.html#a8f521e839d4fad24a4f12a18dfeae5d4">test_signal_converge()</a> implements the stopping condition. The function checks if all of the values of the error signal have a magnitude below a threshold DELTA.</dd></dl>
<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="SignalFlow.gif" alt="SignalFlow.gif"/>
</div>
</dd></dl>
<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><code>testInput_f32</code> points to the input data </li>
<li><code>firStateF32</code> points to FIR state buffer </li>
<li><code>lmsStateF32</code> points to Normalised Least mean square FIR filter state buffer </li>
<li><code>FIRCoeff_f32</code> points to coefficient buffer </li>
<li><code>lmsNormCoeff_f32</code> points to Normalised Least mean square FIR filter coefficient buffer </li>
<li><code>wire1</code>, wir2, wire3 temporary buffers </li>
<li><code>errOutput</code>, err_signal temporary error buffers</li>
</ul>
</dd></dl>
<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><a class="el" href="group__LMS__NORM.html#gac7ccbaea863882056eee815456464670" title="Initialization function for floating-point normalized LMS filter. ">arm_lms_norm_init_f32()</a></li>
<li><a class="el" href="group__FIR.html#ga5afaa7b8e6735bbc19e582aa9755b0e1" title="Initialization function for the floating-point FIR filter. ">arm_fir_init_f32()</a></li>
<li><a class="el" href="group__FIR.html#ga0cf008f650a75f5e2cf82d10691b64d9" title="Processing function for the floating-point FIR filter. ">arm_fir_f32()</a></li>
<li><a class="el" href="group__LMS__NORM.html#ga72b3755ed1cf97622851cbbeff83c69e" title="Processing function for floating-point normalized LMS filter. ">arm_lms_norm_f32()</a></li>
<li><a class="el" href="group__BasicScale.html#ga5e769c8e22da173674c6abca7291e713" title="Multiplies a floating-point vector by a scalar. ">arm_scale_f32()</a></li>
<li><a class="el" href="group__BasicAbs.html#ga0e8fc7df3033cdbe9cda8a766a46e6d9" title="Floating-point vector absolute value. ">arm_abs_f32()</a></li>
<li><a class="el" href="group__BasicSub.html#ga76b8b2aec34269c6de0b090cab00fb33" title="Floating-point vector subtraction. ">arm_sub_f32()</a></li>
<li><a class="el" href="group__Min.html#ga514e2c920c432e1a3df2cb03f01d2797" title="Minimum value of a floating-point vector. ">arm_min_f32()</a></li>
<li><a class="el" href="group__copy.html#gaa6dfe9554ca61eb3d1eee498396bce88" title="Copies the elements of a floating-point vector. ">arm_copy_f32()</a></li>
</ul>
</dd></dl>
<p><b> Refer </b> <a class="el" href="arm_signal_converge_example_f32_8c-example.html">arm_signal_converge_example_f32.c</a> </p>
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<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>
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<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 processed sine output </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pCosVal</td><td>points to processed cosine output </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gae9e4ddebff9d4eb5d0a093e28e0bc504"></a>
<div class="memitem">
<div class="memproto">
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<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 processed sine output </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pCosVal</td><td>points to 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>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__SinCos.html | HTML | apache-2.0 | 13,077 |
var group__SinCos =
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[ "arm_sin_cos_q31", "group__SinCos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504", null ]
]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__SinCos.js | JavaScript | apache-2.0 | 203 |
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<dl class="section user"><dt>Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector Multiplication, and Vector Addition functions.</dd></dl>
<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>Mathematically, the Pythagorean trignometric identity is defined by the following equation: <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre> where <code>x</code> is the angle in radians.</dd></dl>
<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="sinCos.gif" alt="sinCos.gif"/>
</div>
</dd></dl>
<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><code>testInput_f32</code> array of input angle in radians </li>
<li><code>testOutput</code> stores sum of the squares of sine and cosine values of input angle</li>
</ul>
</dd></dl>
<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8" title="Fast approximation to the trigonometric cosine function for floating-point data. ">arm_cos_f32()</a></li>
<li><a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541" title="Fast approximation to the trigonometric sine function for floating-point data. ">arm_sin_f32()</a></li>
<li><a class="el" href="group__BasicMult.html#gacf950935141cad927bea886e88fd9e9b" title="Floating-point vector multiplication. ">arm_mult_f32()</a></li>
<li><a class="el" href="group__BasicAdd.html#gabfef1e86e458314a61f4baa441d9765e" title="Floating-point vector addition. ">arm_add_f32()</a></li>
</ul>
</dd></dl>
<p><b> Refer </b> <a class="el" href="arm_sin_cos_example_f32_8c-example.html">arm_sin_cos_example_f32.c</a> </p>
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<dl class="section user"><dt>Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>Demonstrates the use of Basic Math and Support Functions to calculate the variance of an input sequence with N samples. Uniformly distributed white noise is taken as input.</dd></dl>
<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>The variance of a sequence is the mean of the squared deviation of the sequence from its mean. </dd></dl>
<dl class="section user"><dt></dt><dd>This is denoted by the following equation: <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre> where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>. </dd></dl>
<dl class="section user"><dt></dt><dd>The mean value <code>x'</code> is defined as: <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre></dd></dl>
<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><div class="image">
<img src="Variance.gif" alt="Variance.gif"/>
</div>
</dd></dl>
<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><code>testInput_f32</code> points to the input data </li>
<li><code>wire1</code>, <code>wir2</code>, <code>wire3</code> temporary buffers </li>
<li><code>blockSize</code> number of samples processed at a time </li>
<li><code>refVarianceOut</code> reference variance value</li>
</ul>
</dd></dl>
<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><a class="el" href="group__BasicDotProd.html#gadf26f6bc62d6416528663ad3e46fbf67" title="Dot product of floating-point vectors. ">arm_dot_prod_f32()</a></li>
<li><a class="el" href="group__BasicMult.html#gacf950935141cad927bea886e88fd9e9b" title="Floating-point vector multiplication. ">arm_mult_f32()</a></li>
<li><a class="el" href="group__BasicSub.html#ga76b8b2aec34269c6de0b090cab00fb33" title="Floating-point vector subtraction. ">arm_sub_f32()</a></li>
<li><a class="el" href="group__Fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector. ">arm_fill_f32()</a></li>
<li><a class="el" href="group__copy.html#gaa6dfe9554ca61eb3d1eee498396bce88" title="Copies the elements of a floating-point vector. ">arm_copy_f32()</a></li>
</ul>
</dd></dl>
<p><b> Refer </b> <a class="el" href="arm_variance_example_f32_8c-example.html">arm_variance_example_f32.c</a> </p>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Vector Clarke Transform<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:ga82d40c62bb48ef4d613f1f2f685b4084"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#ga82d40c62bb48ef4d613f1f2f685b4084">arm_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ia, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ib, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIbeta)</td></tr>
<tr class="memdesc:ga82d40c62bb48ef4d613f1f2f685b4084"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point Clarke transform. <a href="#ga82d40c62bb48ef4d613f1f2f685b4084">More...</a><br/></td></tr>
<tr class="separator:ga82d40c62bb48ef4d613f1f2f685b4084"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga8d68db2a6e26e1caab677f5ab293c068"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#ga8d68db2a6e26e1caab677f5ab293c068">arm_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ia, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ib, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIbeta)</td></tr>
<tr class="memdesc:ga8d68db2a6e26e1caab677f5ab293c068"><td class="mdescLeft"> </td><td class="mdescRight">Clarke transform for Q31 version. <a href="#ga8d68db2a6e26e1caab677f5ab293c068">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>. When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below </p>
<div class="image">
<img src="clarke.gif" alt="clarke.gif"/>
<div class="caption">
Stator current space vector and its components in (a,b).</div></div>
<p> and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code> can be calculated using only <code>Ia</code> and <code>Ib</code>.</p>
<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
<img src="clarkeFormula.gif" alt="clarkeFormula.gif"/>
</div>
where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector. </dd></dl>
<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga82d40c62bb48ef4d613f1f2f685b4084"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_clarke_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>Ia</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>Ib</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>pIalpha</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>pIbeta</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">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga8d68db2a6e26e1caab677f5ab293c068"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_clarke_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>Ia</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>Ib</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>pIalpha</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>pIbeta</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">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition, hence there is no risk of overflow. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Complex Conjugate<div class="ingroups"><a class="el" href="group__groupCmplxMath.html">Complex Math Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:ga1b5571244b051bb72db30886896da2da"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#ga1b5571244b051bb72db30886896da2da">arm_cmplx_conj_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga1b5571244b051bb72db30886896da2da"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point complex conjugate. <a href="#ga1b5571244b051bb72db30886896da2da">More...</a><br/></td></tr>
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<tr class="memitem:ga2eef7dba99852d5f7ec3e025b2e5653b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#ga2eef7dba99852d5f7ec3e025b2e5653b">arm_cmplx_conj_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga2eef7dba99852d5f7ec3e025b2e5653b"><td class="mdescLeft"> </td><td class="mdescRight">Q15 complex conjugate. <a href="#ga2eef7dba99852d5f7ec3e025b2e5653b">More...</a><br/></td></tr>
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<tr class="memitem:ga652edf2688aae9b2f53c5da73f6cc2bc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#ga652edf2688aae9b2f53c5da73f6cc2bc">arm_cmplx_conj_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga652edf2688aae9b2f53c5da73f6cc2bc"><td class="mdescLeft"> </td><td class="mdescRight">Q31 complex conjugate. <a href="#ga652edf2688aae9b2f53c5da73f6cc2bc">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Conjugates the elements of a complex data vector.</p>
<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the destination data where the result should be written. <code>numSamples</code> specifies the number of complex samples and the data in each array is stored in an interleaved fashion (real, imag, real, imag, ...). Each array has a total of <code>2*numSamples</code> values.</p>
<p>The underlying algorithm is used: </p>
<pre>
for (n = 0; n < numSamples; n++) {
pDst[(2*n) ] = pSrc[(2*n) ]; // real part
pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
}
</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga1b5571244b051bb72db30886896da2da"></a>
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<td class="memname">void arm_cmplx_conj_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga2eef7dba99852d5f7ec3e025b2e5653b"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_cmplx_conj_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function uses saturating arithmetic. The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF. </dd></dl>
</div>
</div>
<a class="anchor" id="ga652edf2688aae9b2f53c5da73f6cc2bc"></a>
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<td class="memname">void arm_cmplx_conj_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function uses saturating arithmetic. The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Complex Dot Product<div class="ingroups"><a class="el" href="group__groupCmplxMath.html">Complex Math Functions</a></div></div> </div>
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<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:ga93796e73f02771cf6fe13de016e296ed"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#ga93796e73f02771cf6fe13de016e296ed">arm_cmplx_dot_prod_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *realResult, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *imagResult)</td></tr>
<tr class="memdesc:ga93796e73f02771cf6fe13de016e296ed"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point complex dot product. <a href="#ga93796e73f02771cf6fe13de016e296ed">More...</a><br/></td></tr>
<tr class="separator:ga93796e73f02771cf6fe13de016e296ed"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gae712971379c461cfb8bef7e423bf8417"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#gae712971379c461cfb8bef7e423bf8417">arm_cmplx_dot_prod_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *realResult, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *imagResult)</td></tr>
<tr class="memdesc:gae712971379c461cfb8bef7e423bf8417"><td class="mdescLeft"> </td><td class="mdescRight">Q15 complex dot product. <a href="#gae712971379c461cfb8bef7e423bf8417">More...</a><br/></td></tr>
<tr class="separator:gae712971379c461cfb8bef7e423bf8417"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaa90661b5eee3b6d83a149043ada0eb37"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#gaa90661b5eee3b6d83a149043ada0eb37">arm_cmplx_dot_prod_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *realResult, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *imagResult)</td></tr>
<tr class="memdesc:gaa90661b5eee3b6d83a149043ada0eb37"><td class="mdescLeft"> </td><td class="mdescRight">Q31 complex dot product. <a href="#gaa90661b5eee3b6d83a149043ada0eb37">More...</a><br/></td></tr>
<tr class="separator:gaa90661b5eee3b6d83a149043ada0eb37"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the dot product of two complex vectors. The vectors are multiplied element-by-element and then summed.</p>
<p>The <code>pSrcA</code> points to the first complex input vector and <code>pSrcB</code> points to the second complex input vector. <code>numSamples</code> specifies the number of complex samples and the data in each array is stored in an interleaved fashion (real, imag, real, imag, ...). Each array has a total of <code>2*numSamples</code> values.</p>
<p>The underlying algorithm is used:</p>
<pre>
realResult = 0;
imagResult = 0;
for (n = 0; n < numSamples; n++) {
realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
}
</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga93796e73f02771cf6fe13de016e296ed"></a>
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<td class="memname">void arm_cmplx_dot_prod_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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>realResult</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>imagResult</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">pSrcA</td><td>points to the first input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">realResult</td><td>real part of the result returned here </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">imagResult</td><td>imaginary part of the result returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gae712971379c461cfb8bef7e423bf8417"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_cmplx_dot_prod_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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>realResult</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>imagResult</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">pSrcA</td><td>points to the first input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">realResult</td><td>real part of the result returned here </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">imagResult</td><td>imaginary part of the result returned her </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result. These are accumulated in a 64-bit accumulator with 34.30 precision. As a final step, the accumulators are converted to 8.24 format. The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gaa90661b5eee3b6d83a149043ada0eb37"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_cmplx_dot_prod_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcA</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrcB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> * </td>
<td class="paramname"><em>realResult</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> * </td>
<td class="paramname"><em>imagResult</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcA</td><td>points to the first input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">realResult</td><td>real part of the result returned here </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">imagResult</td><td>imaginary part of the result returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format. The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits. Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768. The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format. Input down scaling is not required. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Complex Magnitude<div class="ingroups"><a class="el" href="group__groupCmplxMath.html">Complex Math Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gaba4e0eff7816fe80d01121fb4cf6c6bc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#gaba4e0eff7816fe80d01121fb4cf6c6bc">arm_cmplx_mag_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:gaba4e0eff7816fe80d01121fb4cf6c6bc"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point complex magnitude. <a href="#gaba4e0eff7816fe80d01121fb4cf6c6bc">More...</a><br/></td></tr>
<tr class="separator:gaba4e0eff7816fe80d01121fb4cf6c6bc"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga0488e185f4631ac029b02f1759b287cf"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#ga0488e185f4631ac029b02f1759b287cf">arm_cmplx_mag_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga0488e185f4631ac029b02f1759b287cf"><td class="mdescLeft"> </td><td class="mdescRight">Q15 complex magnitude. <a href="#ga0488e185f4631ac029b02f1759b287cf">More...</a><br/></td></tr>
<tr class="separator:ga0488e185f4631ac029b02f1759b287cf"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gab69ad9237469565958cce6b4555bbb6e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#gab69ad9237469565958cce6b4555bbb6e">arm_cmplx_mag_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:gab69ad9237469565958cce6b4555bbb6e"><td class="mdescLeft"> </td><td class="mdescRight">Q31 complex magnitude. <a href="#gab69ad9237469565958cce6b4555bbb6e">More...</a><br/></td></tr>
<tr class="separator:gab69ad9237469565958cce6b4555bbb6e"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the magnitude of the elements of a complex data vector.</p>
<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the where the result should be written. <code>numSamples</code> specifies the number of complex samples in the input array and the data is stored in an interleaved fashion (real, imag, real, imag, ...). The input array has a total of <code>2*numSamples</code> values; the output array has a total of <code>numSamples</code> values.</p>
<p>The underlying algorithm is used:</p>
<pre>
for (n = 0; n < numSamples; n++) {
pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
}
</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaba4e0eff7816fe80d01121fb4cf6c6bc"></a>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">void arm_cmplx_mag_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga0488e185f4631ac029b02f1759b287cf"></a>
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<div class="memproto">
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<td class="memname">void arm_cmplx_mag_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gab69ad9237469565958cce6b4555bbb6e"></a>
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<td class="memname">void arm_cmplx_mag_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format. Input down scaling is not required. </dd></dl>
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Complex Magnitude Squared<div class="ingroups"><a class="el" href="group__groupCmplxMath.html">Complex Math Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:ga925ef5458a384f63d06f1c6997d1fb7d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#ga925ef5458a384f63d06f1c6997d1fb7d">arm_cmplx_mag_squared_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga925ef5458a384f63d06f1c6997d1fb7d"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point complex magnitude squared. <a href="#ga925ef5458a384f63d06f1c6997d1fb7d">More...</a><br/></td></tr>
<tr class="separator:ga925ef5458a384f63d06f1c6997d1fb7d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gafdd1e838db0aef7ec201611883bd444c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#gafdd1e838db0aef7ec201611883bd444c">arm_cmplx_mag_squared_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:gafdd1e838db0aef7ec201611883bd444c"><td class="mdescLeft"> </td><td class="mdescRight">Q15 complex magnitude squared. <a href="#gafdd1e838db0aef7ec201611883bd444c">More...</a><br/></td></tr>
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<tr class="memitem:ga9d74dbc0a777cfcc75c1cae33ef4d44a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#ga9d74dbc0a777cfcc75c1cae33ef4d44a">arm_cmplx_mag_squared_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
<tr class="memdesc:ga9d74dbc0a777cfcc75c1cae33ef4d44a"><td class="mdescLeft"> </td><td class="mdescRight">Q31 complex magnitude squared. <a href="#ga9d74dbc0a777cfcc75c1cae33ef4d44a">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the magnitude squared of the elements of a complex data vector.</p>
<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the where the result should be written. <code>numSamples</code> specifies the number of complex samples in the input array and the data is stored in an interleaved fashion (real, imag, real, imag, ...). The input array has a total of <code>2*numSamples</code> values; the output array has a total of <code>numSamples</code> values.</p>
<p>The underlying algorithm is used:</p>
<pre>
for (n = 0; n < numSamples; n++) {
pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
}
</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga925ef5458a384f63d06f1c6997d1fb7d"></a>
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<td class="memname">void arm_cmplx_mag_squared_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gafdd1e838db0aef7ec201611883bd444c"></a>
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<td class="memname">void arm_cmplx_mag_squared_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. </dd></dl>
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<td class="memname">void arm_cmplx_mag_squared_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>numSamples</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. Input down scaling is not required. </dd></dl>
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<tr class="memitem:gaa6dfe9554ca61eb3d1eee498396bce88"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gaa6dfe9554ca61eb3d1eee498396bce88">arm_copy_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:gaa6dfe9554ca61eb3d1eee498396bce88"><td class="mdescLeft"> </td><td class="mdescRight">Copies the elements of a floating-point vector. <a href="#gaa6dfe9554ca61eb3d1eee498396bce88">More...</a><br/></td></tr>
<tr class="separator:gaa6dfe9554ca61eb3d1eee498396bce88"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaeb9e8c16ec7fe1235e5610142400f15f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gaeb9e8c16ec7fe1235e5610142400f15f">arm_copy_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:gaeb9e8c16ec7fe1235e5610142400f15f"><td class="mdescLeft"> </td><td class="mdescRight">Copies the elements of a Q15 vector. <a href="#gaeb9e8c16ec7fe1235e5610142400f15f">More...</a><br/></td></tr>
<tr class="separator:gaeb9e8c16ec7fe1235e5610142400f15f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga94c51fe2e82560ade3803787309c1282"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#ga94c51fe2e82560ade3803787309c1282">arm_copy_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga94c51fe2e82560ade3803787309c1282"><td class="mdescLeft"> </td><td class="mdescRight">Copies the elements of a Q31 vector. <a href="#ga94c51fe2e82560ade3803787309c1282">More...</a><br/></td></tr>
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<tr class="memitem:ga9b947e38172ae7e5de780bed13a404fe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#ga9b947e38172ae7e5de780bed13a404fe">arm_copy_q7</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga9b947e38172ae7e5de780bed13a404fe"><td class="mdescLeft"> </td><td class="mdescRight">Copies the elements of a Q7 vector. <a href="#ga9b947e38172ae7e5de780bed13a404fe">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Copies sample by sample from source vector to destination vector.</p>
<pre>
pDst[n] = pSrc[n]; 0 <= n < blockSize.
</pre><p>There are separate functions for floating point, Q31, Q15, and Q7 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
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<table class="memname">
<tr>
<td class="memname">void arm_copy_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gaeb9e8c16ec7fe1235e5610142400f15f"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_copy_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga94c51fe2e82560ade3803787309c1282"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_copy_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga9b947e38172ae7e5de780bed13a404fe"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void arm_copy_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__copy.html | HTML | apache-2.0 | 16,564 |
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[ "arm_copy_f32", "group__copy.html#gaa6dfe9554ca61eb3d1eee498396bce88", null ],
[ "arm_copy_q15", "group__copy.html#gaeb9e8c16ec7fe1235e5610142400f15f", null ],
[ "arm_copy_q31", "group__copy.html#ga94c51fe2e82560ade3803787309c1282", null ],
[ "arm_copy_q7", "group__copy.html#ga9b947e38172ae7e5de780bed13a404fe", null ]
]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__copy.js | JavaScript | apache-2.0 | 360 |
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<div class="header">
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Cosine<div class="ingroups"><a class="el" href="group__groupFastMath.html">Fast Math 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:gace15287f9c64b9b4084d1c797d4c49d8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> x)</td></tr>
<tr class="memdesc:gace15287f9c64b9b4084d1c797d4c49d8"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric cosine function for floating-point data. <a href="#gace15287f9c64b9b4084d1c797d4c49d8">More...</a><br/></td></tr>
<tr class="separator:gace15287f9c64b9b4084d1c797d4c49d8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gadfd60c24def501638c0d5db20f4c869b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> x)</td></tr>
<tr class="memdesc:gadfd60c24def501638c0d5db20f4c869b"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric cosine function for Q15 data. <a href="#gadfd60c24def501638c0d5db20f4c869b">More...</a><br/></td></tr>
<tr class="separator:gadfd60c24def501638c0d5db20f4c869b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gad80f121949ef885a77d83ab36e002567"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x)</td></tr>
<tr class="memdesc:gad80f121949ef885a77d83ab36e002567"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric cosine function for Q31 data. <a href="#gad80f121949ef885a77d83ab36e002567">More...</a><br/></td></tr>
<tr class="separator:gad80f121949ef885a77d83ab36e002567"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the trigonometric cosine function using a combination of table lookup and linear interpolation. There are separate functions for Q15, Q31, and floating-point data types. The input to the floating-point version is in radians while the fixed-point Q15 and Q31 have a scaled input with the range [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a value of 2*pi wraps around to 0.</p>
<p>The implementation is based on table lookup using 256 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 table index.</li>
<li>The final result equals <code>(1.0f-fract)*a + fract*b;</code></li>
</ol>
<p>where </p>
<pre>
b = Table[index];
c = Table[index+1];
</pre> <h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gace15287f9c64b9b4084d1c797d4c49d8"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_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>x</em></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">x</td><td>input value in radians </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>cos(x) </dd></dl>
</div>
</div>
<a class="anchor" id="gadfd60c24def501638c0d5db20f4c869b"></a>
<div class="memitem">
<div class="memproto">
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<td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_cos_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td>
<td class="paramname"><em>x</em></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">x</td><td>Scaled input value in radians </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>cos(x)</dd></dl>
<p>The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). </p>
</div>
</div>
<a class="anchor" id="gad80f121949ef885a77d83ab36e002567"></a>
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<td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_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>x</em></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">x</td><td>Scaled input value in radians </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>cos(x)</dd></dl>
<p>The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). </p>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__cos.html | HTML | apache-2.0 | 12,551 |
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Functions</h2></td></tr>
<tr class="memitem:gac7696e64963e5051ebb950c88c6ba186"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#gac7696e64963e5051ebb950c88c6ba186">arm_float_to_q15</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:gac7696e64963e5051ebb950c88c6ba186"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the floating-point vector to Q15 vector. <a href="#gac7696e64963e5051ebb950c88c6ba186">More...</a><br/></td></tr>
<tr class="separator:gac7696e64963e5051ebb950c88c6ba186"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaae21be47db707e79552f3e8221a48fb0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#gaae21be47db707e79552f3e8221a48fb0">arm_float_to_q31</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:gaae21be47db707e79552f3e8221a48fb0"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the floating-point vector to Q31 vector. <a href="#gaae21be47db707e79552f3e8221a48fb0">More...</a><br/></td></tr>
<tr class="separator:gaae21be47db707e79552f3e8221a48fb0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga63b7cef42a242f0be43376ba3380988d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#ga63b7cef42a242f0be43376ba3380988d">arm_float_to_q7</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga63b7cef42a242f0be43376ba3380988d"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the floating-point vector to Q7 vector. <a href="#ga63b7cef42a242f0be43376ba3380988d">More...</a><br/></td></tr>
<tr class="separator:ga63b7cef42a242f0be43376ba3380988d"><td class="memSeparator" colspan="2"> </td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">void arm_float_to_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the floating-point input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q15 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q15_t)(pSrc[n] * 32768); 0 <= n < blockSize.
</pre></dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
</div>
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<td class="memname">void arm_float_to_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the floating-point input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q31 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q31_t)(pSrc[n] * 2147483648); 0 <= n < blockSize.
</pre></dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
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<td class="memname">void arm_float_to_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">*pSrc</td><td>points to the floating-point input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q7 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
<dl class="section user"><dt>Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q7_t)(pSrc[n] * 128); 0 <= n < blockSize.
</pre> </dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. </dd></dl>
<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
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<tr class="memitem:group__cmplx__conj"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html">Complex Conjugate</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>This set of functions operates on complex data vectors. The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). In the API functions, the number of samples in a complex array refers to the number of complex values; the array contains twice this number of real values. </p>
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<p>This set of functions provides a fast approximation to sine, cosine, and square root. As compared to most of the other functions in the CMSIS math library, the fast math functions operate on individual values and not arrays. There are separate functions for Q15, Q31, and floating-point data. </p>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>These functions perform 1- and 2-dimensional interpolation of data. Linear interpolation is used for 1-dimensional data and bilinear interpolation is used for 2-dimensional data. </p>
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<p>This set of functions provides basic matrix math operations. The functions operate on matrix data structures. For example, the type definition for the floating-point matrix structure is shown below: </p>
<pre>
typedef struct
{
uint16_t numRows; // number of rows of the matrix.
uint16_t numCols; // number of columns of the matrix.
float32_t *pData; // points to the data of the matrix.
} <a class="el" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure. ">arm_matrix_instance_f32</a>;
</pre><p> There are similar definitions for Q15 and Q31 data types.</p>
<p>The structure specifies the size of the matrix and then points to an array of data. The array is of size <code>numRows X numCols</code> and the values are arranged in row order. That is, the matrix element (i, j) is stored at: </p>
<pre>
pData[i*numCols + j]
</pre><dl class="section user"><dt>Init Functions</dt><dd>There is an associated initialization function for each type of matrix data structure. The initialization function sets the values of the internal structure fields. Refer to <a class="el" href="group__MatrixInit.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group__MatrixInit.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31()</a> and <a class="el" href="group__MatrixInit.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15()</a> for floating-point, Q31 and Q15 types, respectively.</dd></dl>
<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if initialization function is used then the instance structure cannot be placed into a const data section. To place the instance structure in a const data section, manually initialize the data structure. For example: <pre>
<code><a class="el" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure. ">arm_matrix_instance_f32</a> S = {nRows, nColumns, pData};</code>
<code><a class="el" href="structarm__matrix__instance__q31.html" title="Instance structure for the Q31 matrix structure. ">arm_matrix_instance_q31</a> S = {nRows, nColumns, pData};</code>
<code><a class="el" href="structarm__matrix__instance__q15.html" title="Instance structure for the Q15 matrix structure. ">arm_matrix_instance_q15</a> S = {nRows, nColumns, pData};</code>
</pre> where <code>nRows</code> specifies the number of rows, <code>nColumns</code> specifies the number of columns, and <code>pData</code> points to the data array.</dd></dl>
<dl class="section user"><dt>Size Checking</dt><dd>By default all of the matrix functions perform size checking on the input and output matrices. For example, the matrix addition function verifies that the two input matrices and the output matrix all have the same number of rows and columns. If the size check fails the functions return: <pre>
ARM_MATH_SIZE_MISMATCH
</pre> Otherwise the functions return <pre>
ARM_MATH_SUCCESS
</pre> There is some overhead associated with this matrix size checking. The matrix size checking is enabled via the #define <pre>
ARM_MATH_MATRIX_CHECK
</pre> within the library project settings. By default this macro is defined and size checking is enabled. By changing the project settings and undefining this macro size checking is eliminated and the functions run a bit faster. With size checking disabled the functions always return <code>ARM_MATH_SUCCESS</code>. </dd></dl>
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[ "DCT Type IV Functions", "group__DCT4__IDCT4.html", "group__DCT4__IDCT4" ],
[ "Real FFT Functions", "group__RealFFT.html", "group__RealFFT" ]
]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__groupTransforms.js | JavaScript | apache-2.0 | 265 |
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<a href="#func-members">Functions</a> </div>
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<div class="title">Vector Inverse Clarke Transform<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:ga1a73ce96f94b2124d02426690e587197"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga1a73ce96f94b2124d02426690e587197">arm_inv_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ialpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ibeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIa, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIb)</td></tr>
<tr class="memdesc:ga1a73ce96f94b2124d02426690e587197"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point Inverse Clarke transform. <a href="#ga1a73ce96f94b2124d02426690e587197">More...</a><br/></td></tr>
<tr class="separator:ga1a73ce96f94b2124d02426690e587197"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga3bab178431f22d13332a0dfae4390172"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga3bab178431f22d13332a0dfae4390172">arm_inv_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ialpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ibeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIa, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIb)</td></tr>
<tr class="memdesc:ga3bab178431f22d13332a0dfae4390172"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Clarke transform for Q31 version. <a href="#ga3bab178431f22d13332a0dfae4390172">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>end of clarke group</p>
<p>Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.</p>
<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
<img src="clarkeInvFormula.gif" alt="clarkeInvFormula.gif"/>
</div>
where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector. </dd></dl>
<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga1a73ce96f94b2124d02426690e587197"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_inv_clarke_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>Ialpha</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>Ibeta</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>pIa</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>pIb</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">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code> </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga3bab178431f22d13332a0dfae4390172"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_inv_clarke_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>Ialpha</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>Ibeta</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>pIa</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>pIb</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">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code> </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the subtraction, hence there is no risk of overflow. </dd></dl>
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<tr class="memitem:ga896b639ecd52c33d427bc7cdc8d303b2"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__park.html#ga896b639ecd52c33d427bc7cdc8d303b2">arm_inv_park_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Id, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Iq, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIbeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosVal)</td></tr>
<tr class="memdesc:ga896b639ecd52c33d427bc7cdc8d303b2"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point Inverse Park transform. <a href="#ga896b639ecd52c33d427bc7cdc8d303b2">More...</a><br/></td></tr>
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<tr class="memitem:gae7165779ef72e1f797d0c601d6d619b2"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__park.html#gae7165779ef72e1f797d0c601d6d619b2">arm_inv_park_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Id, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Iq, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIbeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cosVal)</td></tr>
<tr class="memdesc:gae7165779ef72e1f797d0c601d6d619b2"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Park transform for Q31 version. <a href="#gae7165779ef72e1f797d0c601d6d619b2">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>end of park group</p>
<p>Inverse Park transform converts the input flux and torque components to two-coordinate vector.</p>
<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
<img src="parkInvFormula.gif" alt="parkInvFormula.gif"/>
</div>
where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components, <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the cosine and sine values of theta (rotor flux position). </dd></dl>
<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Park transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga896b639ecd52c33d427bc7cdc8d303b2"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_inv_park_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>Id</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>Iq</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>pIalpha</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>pIbeta</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>sinVal</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>cosVal</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">Id</td><td>input coordinate of rotor reference frame d </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Iq</td><td>input coordinate of rotor reference frame q </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="gae7165779ef72e1f797d0c601d6d619b2"></a>
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<td class="memname">__STATIC_FORCEINLINE void arm_inv_park_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>Id</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>Iq</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>pIalpha</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>pIbeta</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>sinVal</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>cosVal</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">Id</td><td>input coordinate of rotor reference frame d </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Iq</td><td>input coordinate of rotor reference frame q </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition, hence there is no risk of overflow. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Mean<div class="ingroups"><a class="el" href="group__groupStats.html">Statistics Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gae4fb7698771d7c24f536ed24347c1488"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gae4fb7698771d7c24f536ed24347c1488">arm_mean_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
<tr class="memdesc:gae4fb7698771d7c24f536ed24347c1488"><td class="mdescLeft"> </td><td class="mdescRight">Mean value of a floating-point vector. <a href="#gae4fb7698771d7c24f536ed24347c1488">More...</a><br/></td></tr>
<tr class="separator:gae4fb7698771d7c24f536ed24347c1488"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga55fc43607651123ffe3b967e30305734"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#ga55fc43607651123ffe3b967e30305734">arm_mean_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
<tr class="memdesc:ga55fc43607651123ffe3b967e30305734"><td class="mdescLeft"> </td><td class="mdescRight">Mean value of a Q15 vector. <a href="#ga55fc43607651123ffe3b967e30305734">More...</a><br/></td></tr>
<tr class="separator:ga55fc43607651123ffe3b967e30305734"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gab86ec60eba14c4bc4e2bd9b54ac4b487"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gab86ec60eba14c4bc4e2bd9b54ac4b487">arm_mean_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
<tr class="memdesc:gab86ec60eba14c4bc4e2bd9b54ac4b487"><td class="mdescLeft"> </td><td class="mdescRight">Mean value of a Q31 vector. <a href="#gab86ec60eba14c4bc4e2bd9b54ac4b487">More...</a><br/></td></tr>
<tr class="separator:gab86ec60eba14c4bc4e2bd9b54ac4b487"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaa907ace253a82be0741a3203ac04601c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gaa907ace253a82be0741a3203ac04601c">arm_mean_q7</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pResult)</td></tr>
<tr class="memdesc:gaa907ace253a82be0741a3203ac04601c"><td class="mdescLeft"> </td><td class="mdescRight">Mean value of a Q7 vector. <a href="#gaa907ace253a82be0741a3203ac04601c">More...</a><br/></td></tr>
<tr class="separator:gaa907ace253a82be0741a3203ac04601c"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector. The underlying algorithm is used:</p>
<pre>
Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;
</pre><p>There are separate functions for floating-point, Q31, Q15, and Q7 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gae4fb7698771d7c24f536ed24347c1488"></a>
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<td class="memname">void arm_mean_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector. </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>mean value returned here. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga55fc43607651123ffe3b967e30305734"></a>
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<div class="memproto">
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<td class="memname">void arm_mean_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>mean value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.15 format and is accumulated in a 32-bit accumulator in 17.15 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is truncated to yield a result of 1.15 format. </dd></dl>
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<td class="memname">void arm_mean_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>mean value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.31 format and is accumulated in a 64-bit accumulator in 33.31 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is truncated to yield a result of 1.31 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gaa907ace253a82be0741a3203ac04601c"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void arm_mean_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>mean value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.7 format and is accumulated in a 32-bit accumulator in 25.7 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is truncated to yield a result of 1.7 format. </dd></dl>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Vector Park Transform<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga18f92d09e080edc98a00c01886b56b5d"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__park.html#ga18f92d09e080edc98a00c01886b56b5d">arm_park_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ialpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ibeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pId, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIq, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosVal)</td></tr>
<tr class="memdesc:ga18f92d09e080edc98a00c01886b56b5d"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point Park transform. <a href="#ga18f92d09e080edc98a00c01886b56b5d">More...</a><br/></td></tr>
<tr class="separator:ga18f92d09e080edc98a00c01886b56b5d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga69be76685149b18f345f705aa8efaad0"><td class="memItemLeft" align="right" valign="top">__STATIC_FORCEINLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__park.html#ga69be76685149b18f345f705aa8efaad0">arm_park_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ialpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ibeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pId, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIq, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cosVal)</td></tr>
<tr class="memdesc:ga69be76685149b18f345f705aa8efaad0"><td class="mdescLeft"> </td><td class="mdescRight">Park transform for Q31 version. <a href="#ga69be76685149b18f345f705aa8efaad0">More...</a><br/></td></tr>
<tr class="separator:ga69be76685149b18f345f705aa8efaad0"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>end of inv_clarke group</p>
<p>Forward Park transform converts the input two-coordinate vector to flux and torque components. The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents from the stationary to the moving reference frame and control the spatial relationship between the stator vector current and rotor flux vector. If we consider the d axis aligned with the rotor flux, the diagram below shows the current vector and the relationship from the two reference frames: </p>
<div class="image">
<img src="park.gif" alt="park.gif"/>
<div class="caption">
Stator current space vector and its component in (a,b) and in the d,q rotating reference frame</div></div>
<p> The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
<img src="parkFormula.gif" alt="parkFormula.gif"/>
</div>
where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components, <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the cosine and sine values of theta (rotor flux position). </dd></dl>
<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Park transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga18f92d09e080edc98a00c01886b56b5d"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">__STATIC_FORCEINLINE void arm_park_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>Ialpha</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>Ibeta</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>pId</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>pIq</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>sinVal</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>cosVal</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">Ialpha</td><td>input two-phase vector coordinate alpha </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase vector coordinate beta </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pId</td><td>points to output rotor reference frame d </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIq</td><td>points to output rotor reference frame q </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<p>The function implements the forward Park transform. </p>
</div>
</div>
<a class="anchor" id="ga69be76685149b18f345f705aa8efaad0"></a>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">__STATIC_FORCEINLINE void arm_park_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>Ialpha</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>Ibeta</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>pId</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>pIq</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>sinVal</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>cosVal</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">Ialpha</td><td>input two-phase vector coordinate alpha </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase vector coordinate beta </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pId</td><td>points to output rotor reference frame d </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pIq</td><td>points to output rotor reference frame q </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition and subtraction, hence there is no risk of overflow. </dd></dl>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__park.html | HTML | apache-2.0 | 16,662 |
var group__park =
[
[ "arm_park_f32", "group__park.html#ga18f92d09e080edc98a00c01886b56b5d", null ],
[ "arm_park_q31", "group__park.html#ga69be76685149b18f345f705aa8efaad0", null ]
]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__park.js | JavaScript | apache-2.0 | 191 |
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<a href="#func-members">Functions</a> </div>
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<div class="title">Power<div class="ingroups"><a class="el" href="group__groupStats.html">Statistics Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gad0630e3743da2b5aedbe2bb624a8532f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#gad0630e3743da2b5aedbe2bb624a8532f">arm_power_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
<tr class="memdesc:gad0630e3743da2b5aedbe2bb624a8532f"><td class="mdescLeft"> </td><td class="mdescRight">Sum of the squares of the elements of a floating-point vector. <a href="#gad0630e3743da2b5aedbe2bb624a8532f">More...</a><br/></td></tr>
<tr class="separator:gad0630e3743da2b5aedbe2bb624a8532f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga6b87986c6a3617d4fc32c0572a07706c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#ga6b87986c6a3617d4fc32c0572a07706c">arm_power_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *pResult)</td></tr>
<tr class="memdesc:ga6b87986c6a3617d4fc32c0572a07706c"><td class="mdescLeft"> </td><td class="mdescRight">Sum of the squares of the elements of a Q15 vector. <a href="#ga6b87986c6a3617d4fc32c0572a07706c">More...</a><br/></td></tr>
<tr class="separator:ga6b87986c6a3617d4fc32c0572a07706c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gae490bf87084bcdb5dc9fd1d2ef4030b9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#gae490bf87084bcdb5dc9fd1d2ef4030b9">arm_power_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *pResult)</td></tr>
<tr class="memdesc:gae490bf87084bcdb5dc9fd1d2ef4030b9"><td class="mdescLeft"> </td><td class="mdescRight">Sum of the squares of the elements of a Q31 vector. <a href="#gae490bf87084bcdb5dc9fd1d2ef4030b9">More...</a><br/></td></tr>
<tr class="separator:gae490bf87084bcdb5dc9fd1d2ef4030b9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaeb3b9b8e0a4c4bb2549ede074cf43f58"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#gaeb3b9b8e0a4c4bb2549ede074cf43f58">arm_power_q7</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
<tr class="memdesc:gaeb3b9b8e0a4c4bb2549ede074cf43f58"><td class="mdescLeft"> </td><td class="mdescRight">Sum of the squares of the elements of a Q7 vector. <a href="#gaeb3b9b8e0a4c4bb2549ede074cf43f58">More...</a><br/></td></tr>
<tr class="separator:gaeb3b9b8e0a4c4bb2549ede074cf43f58"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Calculates the sum of the squares of the elements in the input vector. The underlying algorithm is used:</p>
<pre>
Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];
</pre><p>There are separate functions for floating point, Q31, Q15, and Q7 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gad0630e3743da2b5aedbe2bb624a8532f"></a>
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<div class="memproto">
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<td class="memname">void arm_power_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>sum of the squares value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
<a class="anchor" id="ga6b87986c6a3617d4fc32c0572a07706c"></a>
<div class="memitem">
<div class="memproto">
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<td class="memname">void arm_power_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>sum of the squares value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 34.30 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gae490bf87084bcdb5dc9fd1d2ef4030b9"></a>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">void arm_power_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>sum of the squares value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.31 format. Intermediate multiplication yields a 2.62 format, and this result is truncated to 2.48 format by discarding the lower 14 bits. The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. With 15 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 16.48 format. </dd></dl>
</div>
</div>
<a class="anchor" id="gaeb3b9b8e0a4c4bb2549ede074cf43f58"></a>
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<td class="memname">void arm_power_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>sum of the squares value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.7 format. Intermediate multiplication yields a 2.14 format, and this result is added without saturation to an accumulator in 18.14 format. With 17 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 18.14 format. </dd></dl>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__power.html | HTML | apache-2.0 | 18,437 |
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Functions</h2></td></tr>
<tr class="memitem:ga5a75381e7d63ea3a3a315344615281cf"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#ga5a75381e7d63ea3a3a315344615281cf">arm_q15_to_float</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga5a75381e7d63ea3a3a315344615281cf"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q15 vector to floating-point vector. <a href="#ga5a75381e7d63ea3a3a315344615281cf">More...</a><br/></td></tr>
<tr class="separator:ga5a75381e7d63ea3a3a315344615281cf"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga39647b2109a5c64a067b776302c4a083"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#ga39647b2109a5c64a067b776302c4a083">arm_q15_to_q31</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga39647b2109a5c64a067b776302c4a083"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q15 vector to Q31 vector. <a href="#ga39647b2109a5c64a067b776302c4a083">More...</a><br/></td></tr>
<tr class="separator:ga39647b2109a5c64a067b776302c4a083"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga837ce281d0e2d5fc445c48334307db19"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#ga837ce281d0e2d5fc445c48334307db19">arm_q15_to_q7</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga837ce281d0e2d5fc445c48334307db19"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q15 vector to Q7 vector. <a href="#ga837ce281d0e2d5fc445c48334307db19">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">void arm_q15_to_float </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q15 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the floating-point output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (float32_t) pSrc[n] / 32768; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
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<td class="memname">void arm_q15_to_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q15 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q31 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q31_t) pSrc[n] << 16; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
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<td class="memname">void arm_q15_to_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q15 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q7 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q7_t) pSrc[n] >> 8; 0 <= n < blockSize.
</pre> </dd></dl>
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<tr class="memitem:ga19a9d023aca1f99abd5da6f13a42b6cf"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#ga19a9d023aca1f99abd5da6f13a42b6cf">arm_q31_to_float</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga19a9d023aca1f99abd5da6f13a42b6cf"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q31 vector to floating-point vector. <a href="#ga19a9d023aca1f99abd5da6f13a42b6cf">More...</a><br/></td></tr>
<tr class="separator:ga19a9d023aca1f99abd5da6f13a42b6cf"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga775f3a1996f00a8048c4b7acba2e0828"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#ga775f3a1996f00a8048c4b7acba2e0828">arm_q31_to_q15</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga775f3a1996f00a8048c4b7acba2e0828"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q31 vector to Q15 vector. <a href="#ga775f3a1996f00a8048c4b7acba2e0828">More...</a><br/></td></tr>
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<tr class="memitem:gabef5357eb3348b3b5b38915fffce8f3d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#gabef5357eb3348b3b5b38915fffce8f3d">arm_q31_to_q7</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:gabef5357eb3348b3b5b38915fffce8f3d"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q31 vector to Q7 vector. <a href="#gabef5357eb3348b3b5b38915fffce8f3d">More...</a><br/></td></tr>
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<td class="memname">void arm_q31_to_float </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q31 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the floating-point output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (float32_t) pSrc[n] / 2147483648; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="ga775f3a1996f00a8048c4b7acba2e0828"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_q31_to_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q31 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q15 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q15_t) pSrc[n] >> 16; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="gabef5357eb3348b3b5b38915fffce8f3d"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_q31_to_q7 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q31 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q7 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q7_t) pSrc[n] >> 24; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
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[ "arm_q31_to_q15", "group__q31__to__x.html#ga775f3a1996f00a8048c4b7acba2e0828", null ],
[ "arm_q31_to_q7", "group__q31__to__x.html#gabef5357eb3348b3b5b38915fffce8f3d", null ]
]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__q31__to__x.js | JavaScript | apache-2.0 | 307 |
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<a href="#func-members">Functions</a> </div>
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<div class="title">Convert 8-bit Integer value<div class="ingroups"><a class="el" href="group__groupSupport.html">Support Functions</a></div></div> </div>
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<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:ga840d8a0e8499d02a54f459bb29f5d63c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#ga840d8a0e8499d02a54f459bb29f5d63c">arm_q7_to_float</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga840d8a0e8499d02a54f459bb29f5d63c"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q7 vector to floating-point vector. <a href="#ga840d8a0e8499d02a54f459bb29f5d63c">More...</a><br/></td></tr>
<tr class="separator:ga840d8a0e8499d02a54f459bb29f5d63c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga1023c3832ca6be3a6d17ef338cafa28b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#ga1023c3832ca6be3a6d17ef338cafa28b">arm_q7_to_q15</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga1023c3832ca6be3a6d17ef338cafa28b"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q7 vector to Q15 vector. <a href="#ga1023c3832ca6be3a6d17ef338cafa28b">More...</a><br/></td></tr>
<tr class="separator:ga1023c3832ca6be3a6d17ef338cafa28b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga3c73bfb98fc5a1b4f612264662d0549c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#ga3c73bfb98fc5a1b4f612264662d0549c">arm_q7_to_q31</a> (const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
<tr class="memdesc:ga3c73bfb98fc5a1b4f612264662d0549c"><td class="mdescLeft"> </td><td class="mdescRight">Converts the elements of the Q7 vector to Q31 vector. <a href="#ga3c73bfb98fc5a1b4f612264662d0549c">More...</a><br/></td></tr>
<tr class="separator:ga3c73bfb98fc5a1b4f612264662d0549c"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga840d8a0e8499d02a54f459bb29f5d63c"></a>
<div class="memitem">
<div class="memproto">
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<td class="memname">void arm_q7_to_float </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q7 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the floating-point output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (float32_t) pSrc[n] / 128; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="ga1023c3832ca6be3a6d17ef338cafa28b"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_q7_to_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q7 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q15 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q15_t) pSrc[n] << 8; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
<a class="anchor" id="ga3c73bfb98fc5a1b4f612264662d0549c"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void arm_q7_to_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> * </td>
<td class="paramname"><em>pSrc</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>pDst</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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">pSrc</td><td>points to the Q7 input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the Q31 output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Details</dt><dd>The equation used for the conversion process is: <pre>
pDst[n] = (q31_t) pSrc[n] << 24; 0 <= n < blockSize.
</pre> </dd></dl>
</div>
</div>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__q7__to__x.html | HTML | apache-2.0 | 14,648 |
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]; | YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__q7__to__x.js | JavaScript | apache-2.0 | 301 |
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Sine<div class="ingroups"><a class="el" href="group__groupFastMath.html">Fast Math Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:gae164899c4a3fc0e946dc5d55555fe541"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> x)</td></tr>
<tr class="memdesc:gae164899c4a3fc0e946dc5d55555fe541"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric sine function for floating-point data. <a href="#gae164899c4a3fc0e946dc5d55555fe541">More...</a><br/></td></tr>
<tr class="separator:gae164899c4a3fc0e946dc5d55555fe541"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> x)</td></tr>
<tr class="memdesc:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric sine function for Q15 data. <a href="#ga1fc6d6640be6cfa688a8bea0a48397ee">More...</a><br/></td></tr>
<tr class="separator:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga57aade7d8892585992cdc6375bd82f9c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x)</td></tr>
<tr class="memdesc:ga57aade7d8892585992cdc6375bd82f9c"><td class="mdescLeft"> </td><td class="mdescRight">Fast approximation to the trigonometric sine function for Q31 data. <a href="#ga57aade7d8892585992cdc6375bd82f9c">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the trigonometric sine function using a combination of table lookup and linear interpolation. There are separate functions for Q15, Q31, and floating-point data types. The input to the floating-point version is in radians while the fixed-point Q15 and Q31 have a scaled input with the range [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a value of 2*pi wraps around to 0.</p>
<p>The implementation is based on table lookup using 256 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 table index.</li>
<li>The final result equals <code>(1.0f-fract)*a + fract*b;</code></li>
</ol>
<p>where </p>
<pre>
b = Table[index];
c = Table[index+1];
</pre> <h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gae164899c4a3fc0e946dc5d55555fe541"></a>
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<td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_sin_f32 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
<td class="paramname"><em>x</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input value in radians. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>sin(x) </dd></dl>
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<td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_sin_q15 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> </td>
<td class="paramname"><em>x</em></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">x</td><td>Scaled input value in radians </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>sin(x)</dd></dl>
<p>The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). </p>
</div>
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<td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_sin_q31 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
<td class="paramname"><em>x</em></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">x</td><td>Scaled input value in radians </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>sin(x)</dd></dl>
<p>The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). </p>
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| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/group__sin.html | HTML | apache-2.0 | 12,538 |
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<a href="#func-members">Functions</a> </div>
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<div class="title">Variance<div class="ingroups"><a class="el" href="group__groupStats.html">Statistics Functions</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:gaae455544f0c8ac92469a1e25d3906515"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#gaae455544f0c8ac92469a1e25d3906515">arm_var_f32</a> (const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
<tr class="memdesc:gaae455544f0c8ac92469a1e25d3906515"><td class="mdescLeft"> </td><td class="mdescRight">Variance of the elements of a floating-point vector. <a href="#gaae455544f0c8ac92469a1e25d3906515">More...</a><br/></td></tr>
<tr class="separator:gaae455544f0c8ac92469a1e25d3906515"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaef3ebc6401209c3f93749e08d341ab48"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#gaef3ebc6401209c3f93749e08d341ab48">arm_var_q15</a> (const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
<tr class="memdesc:gaef3ebc6401209c3f93749e08d341ab48"><td class="mdescLeft"> </td><td class="mdescRight">Variance of the elements of a Q15 vector. <a href="#gaef3ebc6401209c3f93749e08d341ab48">More...</a><br/></td></tr>
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<tr class="memitem:ga87a07c87c1d85104de0ea4a3d017454c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#ga87a07c87c1d85104de0ea4a3d017454c">arm_var_q31</a> (const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
<tr class="memdesc:ga87a07c87c1d85104de0ea4a3d017454c"><td class="mdescLeft"> </td><td class="mdescRight">Variance of the elements of a Q31 vector. <a href="#ga87a07c87c1d85104de0ea4a3d017454c">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Calculates the variance of the elements in the input vector. The underlying algorithm used is the direct method sometimes referred to as the two-pass method:</p>
<pre>
Result = sum(element - meanOfElements)^2) / numElement - 1</pre><pre> meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="gaae455544f0c8ac92469a1e25d3906515"></a>
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<td class="memname">void arm_var_f32 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>variance value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
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<td class="memname">void arm_var_q15 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> * </td>
<td class="paramname"><em>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>variance value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
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<td class="memname">void arm_var_q31 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t </td>
<td class="paramname"><em>blockSize</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>pResult</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">pSrc</td><td>points to the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in input vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">pResult</td><td>variance value returned here </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
<dl class="section user"><dt>Scaling and Overflow Behavior</dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, which is then downshifted by 8 bits which yields 1.23, and intermediate multiplication yields a 2.46 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a 16 guard bits. There is no saturation on intermediate additions. If the accumulator overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. After division, internal variables should be Q18.46 Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. </dd></dl>
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<div class="textblock"><h2>Introduction </h2>
<p>This user manual describes the CMSIS DSP software library, a suite of common signal processing functions for use on Cortex-M processor based devices.</p>
<p>The library is divided into a number of functions each covering a specific category:</p>
<ul>
<li>Basic math functions</li>
<li>Fast math functions</li>
<li>Complex math functions</li>
<li>Filters</li>
<li>Matrix functions</li>
<li>Transform functions</li>
<li>Motor control functions</li>
<li>Statistical functions</li>
<li>Support functions</li>
<li>Interpolation functions</li>
</ul>
<p>The library has separate functions for operating on 8-bit integers, 16-bit integers, 32-bit integer and 32-bit floating-point values.</p>
<h2>Using the Library </h2>
<p>The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.</p>
<ul>
<li>arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit)</li>
<li>arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit)</li>
<li>arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit)</li>
<li>arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on)</li>
<li>arm_cortexM7l_math.lib (Cortex-M7, Little endian)</li>
<li>arm_cortexM7b_math.lib (Cortex-M7, Big endian)</li>
<li>arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit)</li>
<li>arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit)</li>
<li>arm_cortexM4l_math.lib (Cortex-M4, Little endian)</li>
<li>arm_cortexM4b_math.lib (Cortex-M4, Big endian)</li>
<li>arm_cortexM3l_math.lib (Cortex-M3, Little endian)</li>
<li>arm_cortexM3b_math.lib (Cortex-M3, Big endian)</li>
<li>arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian)</li>
<li>arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian)</li>
<li>arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian)</li>
<li>arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian)</li>
<li>arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit)</li>
<li>arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions)</li>
<li>arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit)</li>
</ul>
<p>The library functions are declared in the public file <code><a class="el" href="arm__math_8h.html">arm_math.h</a></code> which is placed in the <code>Include</code> folder. Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single public header file <code> <a class="el" href="arm__math_8h.html">arm_math.h</a></code> for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.</p>
<h2>Examples </h2>
<p>The library ships with a number of examples which demonstrate how to use the library functions.</p>
<h2>Toolchain Support </h2>
<p>The library has been developed and tested with MDK version 5.14.0.0 The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.</p>
<h2>Building the Library </h2>
<p>The library installer contains a project file to rebuild libraries on MDK toolchain in the <code>CMSIS\DSP\Projects\ARM</code> folder.</p>
<ul>
<li>arm_cortexM_math.uvprojx</li>
</ul>
<p>The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above.</p>
<h2>Preprocessor Macros </h2>
<p>Each library project have different preprocessor macros.</p>
<ul>
<li>ARM_MATH_BIG_ENDIAN:</li>
</ul>
<p>Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.</p>
<ul>
<li>ARM_MATH_MATRIX_CHECK:</li>
</ul>
<p>Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices</p>
<ul>
<li>ARM_MATH_ROUNDING:</li>
</ul>
<p>Define macro ARM_MATH_ROUNDING for rounding on support functions</p>
<ul>
<li>ARM_MATH_LOOPUNROLL:</li>
</ul>
<p>Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions</p>
<ul>
<li>ARM_MATH_NEON:</li>
</ul>
<p>Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions. It is not enabled by default when Neon is available because performances are dependent on the compiler and target architecture.</p>
<ul>
<li>ARM_MATH_NEON_EXPERIMENTAL:</li>
</ul>
<p>Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of of some DSP functions. Experimental Neon versions currently do not have better performances than the scalar versions.</p>
<hr/>
<h2>CMSIS-DSP in ARM::CMSIS Pack </h2>
<p>The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories: </p>
<table class="doxtable">
<tr>
<th>File/Folder </th><th>Content </th></tr>
<tr>
<td><b>CMSIS\Documentation\DSP</b> </td><td>This documentation </td></tr>
<tr>
<td><b>CMSIS\DSP\DSP_Lib_TestSuite</b> </td><td>DSP_Lib test suite </td></tr>
<tr>
<td><b>CMSIS\DSP\Examples</b> </td><td>Example projects demonstrating the usage of the library functions </td></tr>
<tr>
<td><b>CMSIS\DSP\Include</b> </td><td>DSP_Lib include files </td></tr>
<tr>
<td><b>CMSIS\DSP\Lib</b> </td><td>DSP_Lib binaries </td></tr>
<tr>
<td><b>CMSIS\DSP\Projects</b> </td><td>Projects to rebuild DSP_Lib binaries </td></tr>
<tr>
<td><b>CMSIS\DSP\Source</b> </td><td>DSP_Lib source files </td></tr>
</table>
<hr/>
<h2>Revision History of CMSIS-DSP </h2>
<p>Please refer to <a class="el" href="ChangeLog_pg.html">Revision History of CMSIS-DSP</a>. </p>
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<tr id="row_5_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img id="arr_5_2_" src="ftv2mlastnode.png" alt="\" width="16" height="22" onclick="toggleFolder('5_2_')"/><a class="el" href="group__RealFFT.html" target="_self">Real FFT Functions</a></td><td class="desc"></td></tr>
<tr id="row_5_2_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__RealFFT__Table.html" target="_self">Real FFT Tables</a></td><td class="desc"></td></tr>
<tr id="row_6_" class="even"><td class="entry"><img id="arr_6_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('6_')"/><a class="el" href="group__groupController.html" target="_self">Controller Functions</a></td><td class="desc"></td></tr>
<tr id="row_6_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__PID.html" target="_self">PID Motor Control</a></td><td class="desc"></td></tr>
<tr id="row_6_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__clarke.html" target="_self">Vector Clarke Transform</a></td><td class="desc"></td></tr>
<tr id="row_6_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__inv__clarke.html" target="_self">Vector Inverse Clarke Transform</a></td><td class="desc"></td></tr>
<tr id="row_6_3_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__park.html" target="_self">Vector Park Transform</a></td><td class="desc"></td></tr>
<tr id="row_6_4_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__inv__park.html" target="_self">Vector Inverse Park transform</a></td><td class="desc"></td></tr>
<tr id="row_6_5_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__SinCos.html" target="_self">Sine Cosine</a></td><td class="desc"></td></tr>
<tr id="row_7_"><td class="entry"><img id="arr_7_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('7_')"/><a class="el" href="group__groupStats.html" target="_self">Statistics Functions</a></td><td class="desc"></td></tr>
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<tr id="row_7_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__power.html" target="_self">Power</a></td><td class="desc"></td></tr>
<tr id="row_7_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__RMS.html" target="_self">Root mean square (RMS)</a></td><td class="desc"></td></tr>
<tr id="row_7_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__STD.html" target="_self">Standard deviation</a></td><td class="desc"></td></tr>
<tr id="row_7_6_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__variance.html" target="_self">Variance</a></td><td class="desc"></td></tr>
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<tr id="row_8_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__Fill.html" target="_self">Vector Fill</a></td><td class="desc"></td></tr>
<tr id="row_8_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__float__to__x.html" target="_self">Convert 32-bit floating point value</a></td><td class="desc"></td></tr>
<tr id="row_8_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__q15__to__x.html" target="_self">Convert 16-bit Integer value</a></td><td class="desc"></td></tr>
<tr id="row_8_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__q31__to__x.html" target="_self">Convert 32-bit Integer value</a></td><td class="desc"></td></tr>
<tr id="row_8_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__q7__to__x.html" target="_self">Convert 8-bit Integer value</a></td><td class="desc"></td></tr>
<tr id="row_9_" class="even"><td class="entry"><img id="arr_9_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('9_')"/><a class="el" href="group__groupInterpolation.html" target="_self">Interpolation Functions</a></td><td class="desc"></td></tr>
<tr id="row_9_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__LinearInterpolate.html" target="_self">Linear Interpolation</a></td><td class="desc"></td></tr>
<tr id="row_9_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__BilinearInterpolate.html" target="_self">Bilinear Interpolation</a></td><td class="desc"></td></tr>
<tr id="row_10_"><td class="entry"><img id="arr_10_" src="ftv2mlastnode.png" alt="\" width="16" height="22" onclick="toggleFolder('10_')"/><a class="el" href="group__groupExamples.html" target="_self">Examples</a></td><td class="desc"></td></tr>
<tr id="row_10_0_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__ClassMarks.html" target="_self">Class Marks Example</a></td><td class="desc"></td></tr>
<tr id="row_10_1_"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__ConvolutionExample.html" target="_self">Convolution Example</a></td><td class="desc"></td></tr>
<tr id="row_10_2_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__DotproductExample.html" target="_self">Dot Product Example</a></td><td class="desc"></td></tr>
<tr id="row_10_3_"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__FrequencyBin.html" target="_self">Frequency Bin Example</a></td><td class="desc"></td></tr>
<tr id="row_10_4_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__FIRLPF.html" target="_self">FIR Lowpass Filter Example</a></td><td class="desc"></td></tr>
<tr id="row_10_5_"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__GEQ5Band.html" target="_self">Graphic Audio Equalizer Example</a></td><td class="desc"></td></tr>
<tr id="row_10_6_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__LinearInterpExample.html" target="_self">Linear Interpolate Example</a></td><td class="desc"></td></tr>
<tr id="row_10_7_"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__MatrixExample.html" target="_self">Matrix Example</a></td><td class="desc"></td></tr>
<tr id="row_10_8_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__SignalConvergence.html" target="_self">Signal Convergence Example</a></td><td class="desc"></td></tr>
<tr id="row_10_9_"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__SinCosExample.html" target="_self">SineCosine Example</a></td><td class="desc"></td></tr>
<tr id="row_10_10_" class="even"><td class="entry"><img src="ftv2blank.png" alt=" " width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__VarianceExample.html" target="_self">Variance Example</a></td><td class="desc"></td></tr>
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})();
}
function expandNode(o, node, imm, showRoot)
{
if (node.childrenData && !node.expanded) {
if (typeof(node.childrenData)==='string') {
var varName = node.childrenData;
getScript(node.relpath+varName,function(){
node.childrenData = getData(varName);
expandNode(o, node, imm, showRoot);
}, showRoot);
} else {
if (!node.childrenVisited) {
getNode(o, node);
} if (imm || ($.browser.msie && $.browser.version>8)) {
// somehow slideDown jumps to the start of tree for IE9 :-(
$(node.getChildrenUL()).show();
} else {
$(node.getChildrenUL()).slideDown("fast");
}
if (node.isLast) {
node.plus_img.src = node.relpath+"ftv2mlastnode.png";
} else {
node.plus_img.src = node.relpath+"ftv2mnode.png";
}
node.expanded = true;
}
}
}
function glowEffect(n,duration)
{
n.addClass('glow').delay(duration).queue(function(next){
$(this).removeClass('glow');next();
});
}
function highlightAnchor()
{
var aname = $(location).attr('hash');
var anchor = $(aname);
if (anchor.parent().attr('class')=='memItemLeft'){
var rows = $('.memberdecls tr[class$="'+
window.location.hash.substring(1)+'"]');
glowEffect(rows.children(),300); // member without details
} else if (anchor.parents().slice(2).prop('tagName')=='TR') {
glowEffect(anchor.parents('div.memitem'),1000); // enum value
} else if (anchor.parent().attr('class')=='fieldtype'){
glowEffect(anchor.parent().parent(),1000); // struct field
} else if (anchor.parent().is(":header")) {
glowEffect(anchor.parent(),1000); // section header
} else {
glowEffect(anchor.next(),1000); // normal member
}
gotoAnchor(anchor,aname,false);
}
function selectAndHighlight(hash,n)
{
var a;
if (hash) {
var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
a=$('.item a[class$="'+link+'"]');
}
if (a && a.length) {
a.parent().parent().addClass('selected');
a.parent().parent().attr('id','selected');
highlightAnchor();
} else if (n) {
$(n.itemDiv).addClass('selected');
$(n.itemDiv).attr('id','selected');
}
if ($('#nav-tree-contents .item:first').hasClass('selected')) {
$('#nav-sync').css('top','30px');
} else {
$('#nav-sync').css('top','5px');
}
showRoot();
}
function showNode(o, node, index, hash)
{
if (node && node.childrenData) {
if (typeof(node.childrenData)==='string') {
var varName = node.childrenData;
getScript(node.relpath+varName,function(){
node.childrenData = getData(varName);
showNode(o,node,index,hash);
},true);
} else {
if (!node.childrenVisited) {
getNode(o, node);
}
$(node.getChildrenUL()).css({'display':'block'});
if (node.isLast) {
node.plus_img.src = node.relpath+"ftv2mlastnode.png";
} else {
node.plus_img.src = node.relpath+"ftv2mnode.png";
}
node.expanded = true;
var n = node.children[o.breadcrumbs[index]];
if (index+1<o.breadcrumbs.length) {
showNode(o,n,index+1,hash);
} else {
if (typeof(n.childrenData)==='string') {
var varName = n.childrenData;
getScript(n.relpath+varName,function(){
n.childrenData = getData(varName);
node.expanded=false;
showNode(o,node,index,hash); // retry with child node expanded
},true);
} else {
var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
if (rootBase=="index" || rootBase=="pages" || rootBase=="search") {
expandNode(o, n, true, true);
}
selectAndHighlight(hash,n);
}
}
}
} else {
selectAndHighlight(hash);
}
}
function removeToInsertLater(element) {
var parentNode = element.parentNode;
var nextSibling = element.nextSibling;
parentNode.removeChild(element);
return function() {
if (nextSibling) {
parentNode.insertBefore(element, nextSibling);
} else {
parentNode.appendChild(element);
}
};
}
function getNode(o, po)
{
var insertFunction = removeToInsertLater(po.li);
po.childrenVisited = true;
var l = po.childrenData.length-1;
for (var i in po.childrenData) {
var nodeData = po.childrenData[i];
po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
i==l);
}
insertFunction();
}
function gotoNode(o,subIndex,root,hash,relpath)
{
var nti = navTreeSubIndices[subIndex][root+hash];
o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
navTo(o,NAVTREE[0][1],"",relpath);
$('.item').removeClass('selected');
$('.item').removeAttr('id');
}
if (o.breadcrumbs) {
o.breadcrumbs.unshift(0); // add 0 for root node
showNode(o, o.node, 0, hash);
}
}
function navTo(o,root,hash,relpath)
{
var link = cachedLink();
if (link) {
var parts = link.split('#');
root = parts[0];
if (parts.length>1) hash = '#'+parts[1];
else hash='';
}
if (hash.match(/^#l\d+$/)) {
var anchor=$('a[name='+hash.substring(1)+']');
glowEffect(anchor.parent(),1000); // line number
hash=''; // strip line number anchors
//root=root.replace(/_source\./,'.'); // source link to doc link
}
var url=root+hash;
var i=-1;
while (NAVTREEINDEX[i+1]<=url) i++;
if (i==-1) { i=0; root=NAVTREE[0][1]; } // fallback: show index
if (navTreeSubIndices[i]) {
gotoNode(o,i,root,hash,relpath)
} else {
getScript(relpath+'navtreeindex'+i,function(){
navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
if (navTreeSubIndices[i]) {
gotoNode(o,i,root,hash,relpath);
}
},true);
}
}
function showSyncOff(n,relpath)
{
n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
}
function showSyncOn(n,relpath)
{
n.html('<img src="'+relpath+'sync_on.png" title="'+SYNCONMSG+'"/>');
}
function toggleSyncButton(relpath)
{
var navSync = $('#nav-sync');
if (navSync.hasClass('sync')) {
navSync.removeClass('sync');
showSyncOff(navSync,relpath);
storeLink(stripPath2($(location).attr('pathname'))+$(location).attr('hash'));
} else {
navSync.addClass('sync');
showSyncOn(navSync,relpath);
deleteLink();
}
}
function initNavTree(toroot,relpath)
{
var o = new Object();
o.toroot = toroot;
o.node = new Object();
o.node.li = document.getElementById("nav-tree-contents");
o.node.childrenData = NAVTREE;
o.node.children = new Array();
o.node.childrenUL = document.createElement("ul");
o.node.getChildrenUL = function() { return o.node.childrenUL; };
o.node.li.appendChild(o.node.childrenUL);
o.node.depth = 0;
o.node.relpath = relpath;
o.node.expanded = false;
o.node.isLast = true;
o.node.plus_img = document.createElement("img");
o.node.plus_img.src = relpath+"ftv2pnode.png";
o.node.plus_img.width = 16;
o.node.plus_img.height = 22;
if (localStorageSupported()) {
var navSync = $('#nav-sync');
if (cachedLink()) {
showSyncOff(navSync,relpath);
navSync.removeClass('sync');
} else {
showSyncOn(navSync,relpath);
}
navSync.click(function(){ toggleSyncButton(relpath); });
}
$(window).load(function(){
navTo(o,toroot,window.location.hash,relpath);
showRoot();
});
$(window).bind('hashchange', function(){
if (window.location.hash && window.location.hash.length>1){
var a;
if ($(location).attr('hash')){
var clslink=stripPath($(location).attr('pathname'))+':'+
$(location).attr('hash').substring(1);
a=$('.item a[class$="'+clslink+'"]');
}
if (a==null || !$(a).parent().parent().hasClass('selected')){
$('.item').removeClass('selected');
$('.item').removeAttr('id');
}
var link=stripPath2($(location).attr('pathname'));
navTo(o,link,$(location).attr('hash'),relpath);
} else if (!animationInProgress) {
$('#doc-content').scrollTop(0);
$('.item').removeClass('selected');
$('.item').removeAttr('id');
navTo(o,toroot,window.location.hash,relpath);
}
})
}
| YifuLiu/AliOS-Things | components/cmsis/docs/DSP/html/navtree.js | JavaScript | apache-2.0 | 15,590 |
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