Added all the F4 libraries to the project
[fw/stlink] / exampleF4 / CMSIS / Documentation / DSP_Lib / html / group__sin.html
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45 <a href="#func-members">Functions</a> &#124;
46 <a href="#var-members">Variables</a>  </div>
47   <div class="headertitle">
48 <h1>Sine<br/>
49 <small>
50 [<a class="el" href="group__group_fast_math.html">Fast Math Functions</a>]</small>
51 </h1>  </div>
52 </div>
53 <div class="contents">
54 <table class="memberdecls">
55 <tr><td colspan="2"><h2><a name="func-members"></a>
56 Functions</h2></td></tr>
57 <tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</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>
58 <tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</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>
59 <tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</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>
60 <tr><td colspan="2"><h2><a name="var-members"></a>
61 Variables</h2></td></tr>
62 <tr><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga71a0a466c6d42c65526968509b04790c">sinTable</a> [259]</td></tr>
63 <tr><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#gab1ffde7f3deee5adc75ba8b3d0a53106">sinTableQ31</a> [259]</td></tr>
64 <tr><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga0bb9449f52f04f5241f073864a72930a">sinTableQ15</a> [259]</td></tr>
65 </table>
66 <hr/><a name="_details"></a><h2>Detailed Description</h2>
67 <p>Computes the trigonometric sine function using a combination of table lookup and cubic 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 1) mapping to [0 2*pi).</p>
68 <p>The implementation is based on table lookup using 256 values together with cubic interpolation. The steps used are:</p>
69 <ol type="1">
70 <li>Calculation of the nearest integer table index</li>
71 <li>Fetch the four table values a, b, c, and d</li>
72 <li>Compute the fractional portion (fract) of the table index.</li>
73 <li>Calculation of wa, wb, wc, wd</li>
74 <li>The final result equals <code>a*wa + b*wb + c*wc + d*wd</code></li>
75 </ol>
76 <p>where </p>
77 <pre>   
78     a=Table[index-1];   
79     b=Table[index+0];   
80     c=Table[index+1];   
81     d=Table[index+2];   
82  </pre><p> and </p>
83 <pre>   
84     wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;   
85     wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;   
86     wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;   
87     wd=(1/6)*fract.^3 - (1/6)*fract;   
88  </pre> <hr/><h2>Function Documentation</h2>
89 <a class="anchor" id="gae164899c4a3fc0e946dc5d55555fe541"></a><!-- doxytag: member="arm_sin_f32.c::arm_sin_f32" ref="gae164899c4a3fc0e946dc5d55555fe541" args="(float32_t x)" -->
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94           <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_sin_f32 </td>
95           <td>(</td>
96           <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
97           <td class="paramname"> <em>x</em>&#160;)</td>
98           <td></td>
99         </tr>
100       </table>
101 </div>
102 <div class="memdoc">
103
104 <p>Fast approximation to the trigonometric sine function for floating-point data. </p>
105 <dl><dt><b>Parameters:</b></dt><dd>
106   <table class="params">
107     <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input value in radians. </td></tr>
108   </table>
109   </dd>
110 </dl>
111 <dl class="return"><dt><b>Returns:</b></dt><dd>sin(x). </dd></dl>
112 <dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a12">arm_linear_interp_example_f32.c</a>, and <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a12">arm_sin_cos_example_f32.c</a>.</dd>
113 </dl>
114 <p>Definition at line <a class="el" href="arm__sin__f32_8c_source.html#l00195">195</a> of file <a class="el" href="arm__sin__f32_8c_source.html">arm_sin_f32.c</a>.</p>
115
116 </div>
117 </div>
118 <a class="anchor" id="ga57aade7d8892585992cdc6375bd82f9c"></a><!-- doxytag: member="arm_sin_q31.c::arm_sin_q31" ref="ga57aade7d8892585992cdc6375bd82f9c" args="(q31_t x)" -->
119 <div class="memitem">
120 <div class="memproto">
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123           <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_sin_q31 </td>
124           <td>(</td>
125           <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
126           <td class="paramname"> <em>x</em>&#160;)</td>
127           <td></td>
128         </tr>
129       </table>
130 </div>
131 <div class="memdoc">
132
133 <p>Fast approximation to the trigonometric sine function for Q31 data. </p>
134 <dl><dt><b>Parameters:</b></dt><dd>
135   <table class="params">
136     <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
137   </table>
138   </dd>
139 </dl>
140 <dl class="return"><dt><b>Returns:</b></dt><dd>sin(x).</dd></dl>
141 <p>The Q31 input value is in the range [0 +1) and is mapped to a radian value in the range [0 2*pi). </p>
142
143 <p>Definition at line <a class="el" href="arm__sin__q31_8c_source.html#l00136">136</a> of file <a class="el" href="arm__sin__q31_8c_source.html">arm_sin_q31.c</a>.</p>
144
145 </div>
146 </div>
147 <a class="anchor" id="ga1fc6d6640be6cfa688a8bea0a48397ee"></a><!-- doxytag: member="arm_sin_q15.c::arm_sin_q15" ref="ga1fc6d6640be6cfa688a8bea0a48397ee" args="(q15_t x)" -->
148 <div class="memitem">
149 <div class="memproto">
150       <table class="memname">
151         <tr>
152           <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_sin_q15 </td>
153           <td>(</td>
154           <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
155           <td class="paramname"> <em>x</em>&#160;)</td>
156           <td></td>
157         </tr>
158       </table>
159 </div>
160 <div class="memdoc">
161
162 <p>Fast approximation to the trigonometric sine function for Q15 data. </p>
163 <dl><dt><b>Parameters:</b></dt><dd>
164   <table class="params">
165     <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
166   </table>
167   </dd>
168 </dl>
169 <dl class="return"><dt><b>Returns:</b></dt><dd>sin(x).</dd></dl>
170 <p>The Q15 input value is in the range [0 +1) and is mapped to a radian value in the range [0 2*pi). </p>
171
172 <p>Definition at line <a class="el" href="arm__sin__q15_8c_source.html#l00106">106</a> of file <a class="el" href="arm__sin__q15_8c_source.html">arm_sin_q15.c</a>.</p>
173
174 </div>
175 </div>
176 <hr/><h2>Variable Documentation</h2>
177 <a class="anchor" id="ga71a0a466c6d42c65526968509b04790c"></a><!-- doxytag: member="arm_sin_f32.c::sinTable" ref="ga71a0a466c6d42c65526968509b04790c" args="[259]" -->
178 <div class="memitem">
179 <div class="memproto">
180       <table class="memname">
181         <tr>
182           <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> <a class="el" href="group__sin.html#ga71a0a466c6d42c65526968509b04790c">sinTable</a>[259]<code> [static]</code></td>
183         </tr>
184       </table>
185 </div>
186 <div class="memdoc">
187 <dl class="user"><dt><b></b></dt><dd>Example code for Generation of Floating-point Sin Table: tableSize = 256; <pre>for(n = -1; n &lt; (tableSize + 1); n++)   
188  {   
189         sinTable[n+1]=sin(2*pi*n/tableSize);   
190  }</pre> </dd></dl>
191 <dl class="user"><dt><b></b></dt><dd>where pi value is 3.14159265358979 </dd></dl>
192
193 <p>Definition at line <a class="el" href="arm__sin__f32_8c_source.html#l00088">88</a> of file <a class="el" href="arm__sin__f32_8c_source.html">arm_sin_f32.c</a>.</p>
194
195 </div>
196 </div>
197 <a class="anchor" id="gab1ffde7f3deee5adc75ba8b3d0a53106"></a><!-- doxytag: member="arm_sin_q31.c::sinTableQ31" ref="gab1ffde7f3deee5adc75ba8b3d0a53106" args="[259]" -->
198 <div class="memitem">
199 <div class="memproto">
200       <table class="memname">
201         <tr>
202           <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> <a class="el" href="group__sin.html#gab1ffde7f3deee5adc75ba8b3d0a53106">sinTableQ31</a>[259]<code> [static]</code></td>
203         </tr>
204       </table>
205 </div>
206 <div class="memdoc">
207 <dl class="user"><dt><b></b></dt><dd>Tables generated are in Q31(1.31 Fixed point format) Generation of sin values in floating point: <pre>tableSize = 256;     
208  for(n = -1; n &lt; (tableSize + 1); n++)   
209  {   
210         sinTable[n+1]= sin(2*pi*n/tableSize);   
211  } </pre> where pi value is 3.14159265358979 </dd></dl>
212 <dl class="user"><dt><b></b></dt><dd>Convert Floating point to Q31(Fixed point): (sinTable[i] * pow(2, 31)) </dd></dl>
213 <dl class="user"><dt><b></b></dt><dd>rounding to nearest integer is done sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
214
215 <p>Definition at line <a class="el" href="arm__sin__q31_8c_source.html#l00059">59</a> of file <a class="el" href="arm__sin__q31_8c_source.html">arm_sin_q31.c</a>.</p>
216
217 </div>
218 </div>
219 <a class="anchor" id="ga0bb9449f52f04f5241f073864a72930a"></a><!-- doxytag: member="arm_sin_q15.c::sinTableQ15" ref="ga0bb9449f52f04f5241f073864a72930a" args="[259]" -->
220 <div class="memitem">
221 <div class="memproto">
222       <table class="memname">
223         <tr>
224           <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="group__sin.html#ga0bb9449f52f04f5241f073864a72930a">sinTableQ15</a>[259]<code> [static]</code></td>
225         </tr>
226       </table>
227 </div>
228 <div class="memdoc">
229 <dl class="user"><dt><b></b></dt><dd>Example code for Generation of Q15 Sin Table: </dd></dl>
230 <dl class="user"><dt><b></b></dt><dd><pre>tableSize = 256;   
231  for(n = -1; n &lt; (tableSize + 1); n++)   
232  {   
233         sinTable[n+1]=sin(2*pi*n/tableSize);   
234  } </pre> where pi value is 3.14159265358979 </dd></dl>
235 <dl class="user"><dt><b></b></dt><dd>Convert Floating point to Q15(Fixed point): (sinTable[i] * pow(2, 15)) </dd></dl>
236 <dl class="user"><dt><b></b></dt><dd>rounding to nearest integer is done sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
237
238 <p>Definition at line <a class="el" href="arm__sin__q15_8c_source.html#l00061">61</a> of file <a class="el" href="arm__sin__q15_8c_source.html">arm_sin_q15.c</a>.</p>
239
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