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authorrihab kouki <rihab.kouki@st.com>2020-07-28 11:24:49 +0100
committerrihab kouki <rihab.kouki@st.com>2020-07-28 11:24:49 +0100
commit96d6da4e252b06dcfdc041e7df23e86161c33007 (patch)
treea262f59bb1db7ec7819acae435f5049cbe5e2354 /docs/DSP/html/group__STD.html
parent9f95ff5b6ba01db09552b84a0ab79607060a2666 (diff)
downloadst-cmsis-core-lowfat-96d6da4e252b06dcfdc041e7df23e86161c33007.tar.gz
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Official ARM version: v5.6.0HEADmaster
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@@ -32,7 +32,7 @@
<td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
<td style="padding-left: 0.5em;">
<div id="projectname">CMSIS-DSP
- &#160;<span id="projectnumber">Version 1.5.2</span>
+ &#160;<span id="projectnumber">Version 1.7.0</span>
</div>
<div id="projectbrief">CMSIS DSP Software Library</div>
</td>
@@ -116,30 +116,31 @@ $(document).ready(function(){initNavTree('group__STD.html','');});
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
-<tr class="memitem:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32</a> (<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:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a floating-point vector. <a href="#ga4969b5b5f3d001377bc401a3ee99dfc2">More...</a><br/></td></tr>
-<tr class="separator:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15</a> (<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:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a Q15 vector. <a href="#gaf9d27afa9928ff28a63cd98ea9218a72">More...</a><br/></td></tr>
-<tr class="separator:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="memSeparator" colspan="2">&#160;</td></tr>
-<tr class="memitem:ga39495e74f96116178be085c9dc7742f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__STD.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31</a> (<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:ga39495e74f96116178be085c9dc7742f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a Q31 vector. <a href="#ga39495e74f96116178be085c9dc7742f5">More...</a><br/></td></tr>
-<tr class="separator:ga39495e74f96116178be085c9dc7742f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga287b6ce703636c7e8cb9833b290ae4ce"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
+<tr class="memitem:ga4179a8150b161ce2c3d734d8cb19cebe"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
+<tr class="memitem:gafe382f5d8f3e7d310f2e2f2b5d873797"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</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> where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]</pre><pre> sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
+ 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="ga4969b5b5f3d001377bc401a3ee99dfc2"></a>
+<a class="anchor" id="ga287b6ce703636c7e8cb9833b290ae4ce"></a>
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<div class="memproto">
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<tr>
<td class="memname">void arm_std_f32 </td>
<td>(</td>
- <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+ <td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
@@ -163,28 +164,24 @@ Functions</h2></td></tr>
</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>length of the input vector </td></tr>
- <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+ <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>
-
-<p>References <a class="el" href="group__SQRT.html#ga697d82c2747a3302cf44e7c9583da2e8">arm_sqrt_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, and <a class="el" href="arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>.</p>
-
-<p>Referenced by <a class="el" href="arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
</div>
</div>
-<a class="anchor" id="gaf9d27afa9928ff28a63cd98ea9218a72"></a>
+<a class="anchor" id="ga4179a8150b161ce2c3d734d8cb19cebe"></a>
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<td class="memname">void arm_std_q15 </td>
<td>(</td>
- <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+ <td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
@@ -208,28 +205,25 @@ Functions</h2></td></tr>
</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>length of the input vector </td></tr>
- <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+ <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>
-<p><b>Scaling and Overflow Behavior:</b></p>
-<dl class="section user"><dt></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>
-
-<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a7aed02041f489a4f65dbd7093073d94e">__SMLALD()</a>, <a class="el" href="group__SQRT.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+<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="ga39495e74f96116178be085c9dc7742f5"></a>
+<a class="anchor" id="gafe382f5d8f3e7d310f2e2f2b5d873797"></a>
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<td class="memname">void arm_std_q31 </td>
<td>(</td>
- <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+ <td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
<td class="paramname"><em>pSrc</em>, </td>
</tr>
<tr>
@@ -253,17 +247,14 @@ Functions</h2></td></tr>
</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>length of the input vector </td></tr>
- <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+ <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>
-<p><b>Scaling and Overflow Behavior:</b></p>
-<dl class="section user"><dt></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>
-
-<p>References <a class="el" href="group__SQRT.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+<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>
</div>
</div>
@@ -272,7 +263,7 @@ Functions</h2></td></tr>
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