group__SQRT.html 17 KB

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  109. <a href="#func-members">Functions</a> </div>
  110. <div class="headertitle">
  111. <div class="title">Square Root<div class="ingroups"><a class="el" href="group__groupFastMath.html">Fast Math Functions</a></div></div> </div>
  112. </div><!--header-->
  113. <div class="contents">
  114. <table class="memberdecls">
  115. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  116. Functions</h2></td></tr>
  117. <tr class="memitem:ga697d82c2747a3302cf44e7c9583da2e8"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE <br class="typebreak"/>
  118. <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__SQRT.html#ga697d82c2747a3302cf44e7c9583da2e8">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>
  119. <tr class="memdesc:ga697d82c2747a3302cf44e7c9583da2e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point square root function. <a href="#ga697d82c2747a3302cf44e7c9583da2e8">More...</a><br/></td></tr>
  120. <tr class="separator:ga697d82c2747a3302cf44e7c9583da2e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
  121. <tr class="memitem:ga119e25831e141d734d7ef10636670058"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</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>
  122. <tr class="memdesc:ga119e25831e141d734d7ef10636670058"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 square root function. <a href="#ga119e25831e141d734d7ef10636670058">More...</a><br/></td></tr>
  123. <tr class="separator:ga119e25831e141d734d7ef10636670058"><td class="memSeparator" colspan="2">&#160;</td></tr>
  124. <tr class="memitem:ga5abe5ca724f3e15849662b03752c1238"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</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>
  125. <tr class="memdesc:ga5abe5ca724f3e15849662b03752c1238"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 square root function. <a href="#ga5abe5ca724f3e15849662b03752c1238">More...</a><br/></td></tr>
  126. <tr class="separator:ga5abe5ca724f3e15849662b03752c1238"><td class="memSeparator" colspan="2">&#160;</td></tr>
  127. </table>
  128. <a name="details" id="details"></a><h2 class="groupheader">Description</h2>
  129. <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>
  130. <pre>
  131. x1 = x0 - f(x0)/f'(x0)
  132. </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>
  133. <pre>
  134. x0 = in/2 [initial guess]
  135. x1 = 1/2 * ( x0 + in / x0) [each iteration]
  136. </pre> <h2 class="groupheader">Function Documentation</h2>
  137. <a class="anchor" id="ga697d82c2747a3302cf44e7c9583da2e8"></a>
  138. <div class="memitem">
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  142. <td class="memname">CMSIS_INLINE __STATIC_INLINE <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_f32 </td>
  143. <td>(</td>
  144. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
  145. <td class="paramname"><em>in</em>, </td>
  146. </tr>
  147. <tr>
  148. <td class="paramkey"></td>
  149. <td></td>
  150. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
  151. <td class="paramname"><em>pOut</em>&#160;</td>
  152. </tr>
  153. <tr>
  154. <td></td>
  155. <td>)</td>
  156. <td></td><td></td>
  157. </tr>
  158. </table>
  159. </div><div class="memdoc">
  160. <dl class="params"><dt>Parameters</dt><dd>
  161. <table class="params">
  162. <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. </td></tr>
  163. <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
  164. </table>
  165. </dd>
  166. </dl>
  167. <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>
  168. <p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
  169. <p>Referenced by <a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213">arm_cmplx_mag_f32()</a>, <a class="el" href="group__RMS.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32()</a>, and <a class="el" href="group__STD.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>.</p>
  170. </div>
  171. </div>
  172. <a class="anchor" id="ga5abe5ca724f3e15849662b03752c1238"></a>
  173. <div class="memitem">
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  177. <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q15 </td>
  178. <td>(</td>
  179. <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
  180. <td class="paramname"><em>in</em>, </td>
  181. </tr>
  182. <tr>
  183. <td class="paramkey"></td>
  184. <td></td>
  185. <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
  186. <td class="paramname"><em>pOut</em>&#160;</td>
  187. </tr>
  188. <tr>
  189. <td></td>
  190. <td>)</td>
  191. <td></td><td></td>
  192. </tr>
  193. </table>
  194. </div><div class="memdoc">
  195. <dl class="params"><dt>Parameters</dt><dd>
  196. <table class="params">
  197. <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>
  198. <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
  199. </table>
  200. </dd>
  201. </dl>
  202. <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>
  203. <dl class="params"><dt>Parameters</dt><dd>
  204. <table class="params">
  205. <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>
  206. <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>square root of input value. </td></tr>
  207. </table>
  208. </dd>
  209. </dl>
  210. <dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if the input value is positive and ARM_MATH_ARGUMENT_ERROR if the input is negative. For negative inputs, the function returns *pOut = 0. </dd></dl>
  211. <p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
  212. <p>Referenced by <a class="el" href="group__cmplx__mag.html#ga0a4a8f77a6a51d9b3f3b9d729f85b7a4">arm_cmplx_mag_q15()</a>, <a class="el" href="group__RMS.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15()</a>, and <a class="el" href="group__STD.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15()</a>.</p>
  213. </div>
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  216. <div class="memitem">
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  219. <tr>
  220. <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q31 </td>
  221. <td>(</td>
  222. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
  223. <td class="paramname"><em>in</em>, </td>
  224. </tr>
  225. <tr>
  226. <td class="paramkey"></td>
  227. <td></td>
  228. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
  229. <td class="paramname"><em>pOut</em>&#160;</td>
  230. </tr>
  231. <tr>
  232. <td></td>
  233. <td>)</td>
  234. <td></td><td></td>
  235. </tr>
  236. </table>
  237. </div><div class="memdoc">
  238. <dl class="params"><dt>Parameters</dt><dd>
  239. <table class="params">
  240. <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>
  241. <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
  242. </table>
  243. </dd>
  244. </dl>
  245. <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>
  246. <dl class="params"><dt>Parameters</dt><dd>
  247. <table class="params">
  248. <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>
  249. <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>square root of input value. </td></tr>
  250. </table>
  251. </dd>
  252. </dl>
  253. <dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if the input value is positive and ARM_MATH_ARGUMENT_ERROR if the input is negative. For negative inputs, the function returns *pOut = 0. </dd></dl>
  254. <p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
  255. <p>Referenced by <a class="el" href="group__cmplx__mag.html#ga14f82f9230e9d96d5b9774e2fefcb7be">arm_cmplx_mag_q31()</a>, <a class="el" href="group__RMS.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31()</a>, and <a class="el" href="group__STD.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31()</a>.</p>
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