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49 <div class="headertitle">
50 <h1>arm_sqrt_q15.c</h1> </div>
52 <div class="contents">
53 <a href="arm__sqrt__q15_8c.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* ---------------------------------------------------------------------- </span>
54 <a name="l00002"></a>00002 <span class="comment">* Copyright (C) 2010 ARM Limited. All rights reserved. </span>
55 <a name="l00003"></a>00003 <span class="comment">* </span>
56 <a name="l00004"></a>00004 <span class="comment">* $Date: 15. July 2011 </span>
57 <a name="l00005"></a>00005 <span class="comment">* $Revision: V1.0.10 </span>
58 <a name="l00006"></a>00006 <span class="comment">* </span>
59 <a name="l00007"></a>00007 <span class="comment">* Project: CMSIS DSP Library </span>
60 <a name="l00008"></a>00008 <span class="comment">* Title: arm_sqrt_q15.c </span>
61 <a name="l00009"></a>00009 <span class="comment">* </span>
62 <a name="l00010"></a>00010 <span class="comment">* Description: Q15 square root function. </span>
63 <a name="l00011"></a>00011 <span class="comment">* </span>
64 <a name="l00012"></a>00012 <span class="comment">* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0</span>
65 <a name="l00013"></a>00013 <span class="comment">* </span>
66 <a name="l00014"></a>00014 <span class="comment">* Version 1.0.10 2011/7/15 </span>
67 <a name="l00015"></a>00015 <span class="comment">* Big Endian support added and Merged M0 and M3/M4 Source code. </span>
68 <a name="l00016"></a>00016 <span class="comment">* </span>
69 <a name="l00017"></a>00017 <span class="comment">* Version 1.0.3 2010/11/29 </span>
70 <a name="l00018"></a>00018 <span class="comment">* Re-organized the CMSIS folders and updated documentation. </span>
71 <a name="l00019"></a>00019 <span class="comment">* </span>
72 <a name="l00020"></a>00020 <span class="comment">* Version 1.0.2 2010/11/11 </span>
73 <a name="l00021"></a>00021 <span class="comment">* Documentation updated. </span>
74 <a name="l00022"></a>00022 <span class="comment">* </span>
75 <a name="l00023"></a>00023 <span class="comment">* Version 1.0.1 2010/10/05 </span>
76 <a name="l00024"></a>00024 <span class="comment">* Production release and review comments incorporated. </span>
77 <a name="l00025"></a>00025 <span class="comment">* </span>
78 <a name="l00026"></a>00026 <span class="comment">* Version 1.0.0 2010/09/20 </span>
79 <a name="l00027"></a>00027 <span class="comment">* Production release and review comments incorporated. </span>
80 <a name="l00028"></a>00028 <span class="comment">* -------------------------------------------------------------------- */</span>
81 <a name="l00029"></a>00029
82 <a name="l00030"></a>00030 <span class="preprocessor">#include "<a class="code" href="arm__math_8h.html">arm_math.h</a>"</span>
83 <a name="l00031"></a>00031 <span class="preprocessor">#include "arm_common_tables.h"</span>
84 <a name="l00032"></a>00032
85 <a name="l00033"></a>00033
86 <a name="l00051"></a><a class="code" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">00051</a> <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a class="code" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238" title="Q15 square root function.">arm_sqrt_q15</a>(
87 <a name="l00052"></a>00052 <a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a> in,
88 <a name="l00053"></a>00053 <a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a> * pOut)
89 <a name="l00054"></a>00054 {
90 <a name="l00055"></a>00055 <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> prevOut;
91 <a name="l00056"></a>00056 <a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a> oneByOut;
92 <a name="l00057"></a>00057 uint32_t sign_bits;
93 <a name="l00058"></a>00058
94 <a name="l00059"></a>00059 <span class="preprocessor">#ifndef ARM_MATH_CM0</span>
95 <a name="l00060"></a>00060 <span class="preprocessor"></span>
96 <a name="l00061"></a>00061 <span class="comment">/* Run the below code for Cortex-M4 and Cortex-M3 */</span>
97 <a name="l00062"></a>00062
98 <a name="l00063"></a>00063 <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> out;
99 <a name="l00064"></a>00064
100 <a name="l00065"></a>00065 <span class="keywordflow">if</span>(in > 0)
101 <a name="l00066"></a>00066 {
102 <a name="l00067"></a>00067 <span class="comment">/* run for ten iterations */</span>
103 <a name="l00068"></a>00068
104 <a name="l00069"></a>00069 <span class="comment">/* Take initial guess as half of the input and first iteration */</span>
105 <a name="l00070"></a>00070 out = ((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in >> 1u) + 0x3FFF;
106 <a name="l00071"></a>00071
107 <a name="l00072"></a>00072 <span class="comment">/* Calculation of reciprocal of out */</span>
108 <a name="l00073"></a>00073 <span class="comment">/* oneByOut contains reciprocal of out which is in 2.14 format </span>
109 <a name="l00074"></a>00074 <span class="comment"> and oneByOut should be upscaled by signBits */</span>
110 <a name="l00075"></a>00075 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
111 <a name="l00076"></a>00076
112 <a name="l00077"></a>00077 <span class="comment">/* 0.5 * (out) */</span>
113 <a name="l00078"></a>00078 out = out >> 1u;
114 <a name="l00079"></a>00079 <span class="comment">/* prevOut = 0.5 * out + (in * (oneByOut << signBits))) */</span>
115 <a name="l00080"></a>00080 prevOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
116 <a name="l00081"></a>00081
117 <a name="l00082"></a>00082 <span class="comment">/* Third iteration */</span>
118 <a name="l00083"></a>00083 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) prevOut, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
119 <a name="l00084"></a>00084 prevOut = prevOut >> 1u;
120 <a name="l00085"></a>00085 out = prevOut + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
121 <a name="l00086"></a>00086
122 <a name="l00087"></a>00087 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
123 <a name="l00088"></a>00088 out = out >> 1u;
124 <a name="l00089"></a>00089 prevOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
125 <a name="l00090"></a>00090
126 <a name="l00091"></a>00091 <span class="comment">/* Fifth iteration */</span>
127 <a name="l00092"></a>00092 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) prevOut, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
128 <a name="l00093"></a>00093 prevOut = prevOut >> 1u;
129 <a name="l00094"></a>00094 out = prevOut + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
130 <a name="l00095"></a>00095
131 <a name="l00096"></a>00096 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
132 <a name="l00097"></a>00097 out = out >> 1u;
133 <a name="l00098"></a>00098 prevOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
134 <a name="l00099"></a>00099
135 <a name="l00100"></a>00100 <span class="comment">/* Seventh iteration */</span>
136 <a name="l00101"></a>00101 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) prevOut, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
137 <a name="l00102"></a>00102 prevOut = prevOut >> 1u;
138 <a name="l00103"></a>00103 out = prevOut + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
139 <a name="l00104"></a>00104
140 <a name="l00105"></a>00105 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
141 <a name="l00106"></a>00106 out = out >> 1u;
142 <a name="l00107"></a>00107 prevOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
143 <a name="l00108"></a>00108
144 <a name="l00109"></a>00109 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) prevOut, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
145 <a name="l00110"></a>00110 prevOut = prevOut >> 1u;
146 <a name="l00111"></a>00111 out = prevOut + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
147 <a name="l00112"></a>00112
148 <a name="l00113"></a>00113 <span class="comment">/* tenth iteration */</span>
149 <a name="l00114"></a>00114 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
150 <a name="l00115"></a>00115 out = out >> 1u;
151 <a name="l00116"></a>00116 *pOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
152 <a name="l00117"></a>00117
153 <a name="l00118"></a>00118 <span class="keywordflow">return</span> (<a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>);
154 <a name="l00119"></a>00119 }
155 <a name="l00120"></a>00120
156 <a name="l00121"></a>00121 <span class="preprocessor">#else</span>
157 <a name="l00122"></a>00122 <span class="preprocessor"></span>
158 <a name="l00123"></a>00123 <span class="comment">/* Run the below code for Cortex-M0 */</span>
159 <a name="l00124"></a>00124
160 <a name="l00125"></a>00125 <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> out, loopVar; <span class="comment">/* Temporary variable for output, loop variable */</span>
161 <a name="l00126"></a>00126 <span class="keywordflow">if</span>(in > 0)
162 <a name="l00127"></a>00127 {
163 <a name="l00128"></a>00128 <span class="comment">/* run for ten iterations */</span>
164 <a name="l00129"></a>00129
165 <a name="l00130"></a>00130 <span class="comment">/* Take initial guess as half of the input and first iteration */</span>
166 <a name="l00131"></a>00131 out = ((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in >> 1u) + 0x3FFF;
167 <a name="l00132"></a>00132
168 <a name="l00133"></a>00133 <span class="comment">/* Calculation of reciprocal of out */</span>
169 <a name="l00134"></a>00134
170 <a name="l00135"></a>00135 <span class="comment">/* oneByOut contains reciprocal of out which is in 2.14 format </span>
171 <a name="l00136"></a>00136 <span class="comment"> and oneByOut should be upscaled by sign bits */</span>
172 <a name="l00137"></a>00137 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) out, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
173 <a name="l00138"></a>00138
174 <a name="l00139"></a>00139 <span class="comment">/* 0.5 * (out) */</span>
175 <a name="l00140"></a>00140 out = out >> 1u;
176 <a name="l00141"></a>00141 <span class="comment">/* prevOut = 0.5 * out + (in * oneByOut) << signbits))) */</span>
177 <a name="l00142"></a>00142 prevOut = out + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
178 <a name="l00143"></a>00143
179 <a name="l00144"></a>00144 <span class="comment">/* loop for third iteration to tenth iteration */</span>
180 <a name="l00145"></a>00145
181 <a name="l00146"></a>00146 <span class="keywordflow">for</span> (loopVar = 1; loopVar <= 8; loopVar++)
182 <a name="l00147"></a>00147 {
183 <a name="l00148"></a>00148
184 <a name="l00149"></a>00149 sign_bits = <a class="code" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7" title="Function to Calculates 1/in(reciprocal) value of Q15 Data type.">arm_recip_q15</a>((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) prevOut, &oneByOut, <a class="code" href="arm__common__tables_8c.html#a56d3642e4ee33e3ada57ff11ecda1498">armRecipTableQ15</a>);
185 <a name="l00150"></a>00150 <span class="comment">/* 0.5 * (prevOut) */</span>
186 <a name="l00151"></a>00151 prevOut = prevOut >> 1u;
187 <a name="l00152"></a>00152 <span class="comment">/* prevOut = 0.5 * prevOut+ (in * oneByOut) << signbits))) */</span>
188 <a name="l00153"></a>00153 out =
189 <a name="l00154"></a>00154 prevOut + (((<a class="code" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea" title="16-bit fractional data type in 1.15 format.">q15_t</a>) (((<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a>) in * oneByOut) >> 16)) << sign_bits);
190 <a name="l00155"></a>00155 <span class="comment">/* prevOut = out */</span>
191 <a name="l00156"></a>00156 prevOut = out;
192 <a name="l00157"></a>00157
193 <a name="l00158"></a>00158 }
194 <a name="l00159"></a>00159 <span class="comment">/* output is moved to pOut pointer */</span>
195 <a name="l00160"></a>00160 *pOut = prevOut;
196 <a name="l00161"></a>00161
197 <a name="l00162"></a>00162 <span class="keywordflow">return</span> (<a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>);
198 <a name="l00163"></a>00163 }
199 <a name="l00164"></a>00164
200 <a name="l00165"></a>00165 <span class="preprocessor">#endif </span><span class="comment">/* #ifndef ARM_MATH_CM0 */</span>
201 <a name="l00166"></a>00166
202 <a name="l00167"></a>00167 <span class="keywordflow">else</span>
203 <a name="l00168"></a>00168 {
204 <a name="l00169"></a>00169
205 <a name="l00170"></a>00170 *pOut = 0;
206 <a name="l00171"></a>00171 <span class="keywordflow">return</span> (<a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>);
207 <a name="l00172"></a>00172 }
208 <a name="l00173"></a>00173
209 <a name="l00174"></a>00174 }
210 <a name="l00175"></a>00175
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