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49 <div class="headertitle">
50 <h1>arm_cos_f32.c</h1> </div>
52 <div class="contents">
53 <a href="arm__cos__f32_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_cos_f32.c </span>
61 <a name="l00009"></a>00009 <span class="comment">* </span>
62 <a name="l00010"></a>00010 <span class="comment">* Description: Fast cosine calculation for floating-point values. </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="l00086"></a><a class="code" href="group__cos.html#ga9588015a9447c6e124d36339e273bd53">00086</a> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a class="code" href="group__cos.html#ga9588015a9447c6e124d36339e273bd53">cosTable</a>[259] = {
84 <a name="l00087"></a>00087 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
85 <a name="l00088"></a>00088 0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
86 <a name="l00089"></a>00089 0.992479562759399410f, 0.989176511764526370f,
87 <a name="l00090"></a>00090 0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
88 <a name="l00091"></a>00091 0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
89 <a name="l00092"></a>00092 0.949528157711029050f, 0.941544055938720700f,
90 <a name="l00093"></a>00093 0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
91 <a name="l00094"></a>00094 0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
92 <a name="l00095"></a>00095 0.870086967945098880f, 0.857728600502014160f,
93 <a name="l00096"></a>00096 0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
94 <a name="l00097"></a>00097 0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
95 <a name="l00098"></a>00098 0.757208824157714840f, 0.740951120853424070f,
96 <a name="l00099"></a>00099 0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
97 <a name="l00100"></a>00100 0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
98 <a name="l00101"></a>00101 0.615231573581695560f, 0.595699310302734380f,
99 <a name="l00102"></a>00102 0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
100 <a name="l00103"></a>00103 0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
101 <a name="l00104"></a>00104 0.449611335992813110f, 0.427555084228515630f,
102 <a name="l00105"></a>00105 0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
103 <a name="l00106"></a>00106 0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
104 <a name="l00107"></a>00107 0.266712754964828490f, 0.242980182170867920f,
105 <a name="l00108"></a>00108 0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
106 <a name="l00109"></a>00109 0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
107 <a name="l00110"></a>00110 0.073564566671848297f, 0.049067676067352295f,
108 <a name="l00111"></a>00111 0.024541229009628296f, 0.000000000000000061f, -0.024541229009628296f,
109 <a name="l00112"></a>00112 -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
110 <a name="l00113"></a>00113 -0.122410677373409270f, -0.146730467677116390f,
111 <a name="l00114"></a>00114 -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
112 <a name="l00115"></a>00115 -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
113 <a name="l00116"></a>00116 -0.313681751489639280f, -0.336889863014221190f,
114 <a name="l00117"></a>00117 -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
115 <a name="l00118"></a>00118 -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
116 <a name="l00119"></a>00119 -0.492898195981979370f, -0.514102756977081300f,
117 <a name="l00120"></a>00120 -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
118 <a name="l00121"></a>00121 -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
119 <a name="l00122"></a>00122 -0.653172850608825680f, -0.671558976173400880f,
120 <a name="l00123"></a>00123 -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
121 <a name="l00124"></a>00124 -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
122 <a name="l00125"></a>00125 -0.788346409797668460f, -0.803207516670227050f,
123 <a name="l00126"></a>00126 -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
124 <a name="l00127"></a>00127 -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
125 <a name="l00128"></a>00128 -0.893224298954010010f, -0.903989315032958980f,
126 <a name="l00129"></a>00129 -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
127 <a name="l00130"></a>00130 -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
128 <a name="l00131"></a>00131 -0.963776051998138430f, -0.970031261444091800f,
129 <a name="l00132"></a>00132 -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
130 <a name="l00133"></a>00133 -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
131 <a name="l00134"></a>00134 -0.997290432453155520f, -0.998795449733734130f,
132 <a name="l00135"></a>00135 -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
133 <a name="l00136"></a>00136 -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
134 <a name="l00137"></a>00137 -0.992479562759399410f, -0.989176511764526370f,
135 <a name="l00138"></a>00138 -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
136 <a name="l00139"></a>00139 -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
137 <a name="l00140"></a>00140 -0.949528157711029050f, -0.941544055938720700f,
138 <a name="l00141"></a>00141 -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
139 <a name="l00142"></a>00142 -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
140 <a name="l00143"></a>00143 -0.870086967945098880f, -0.857728600502014160f,
141 <a name="l00144"></a>00144 -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
142 <a name="l00145"></a>00145 -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
143 <a name="l00146"></a>00146 -0.757208824157714840f, -0.740951120853424070f,
144 <a name="l00147"></a>00147 -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
145 <a name="l00148"></a>00148 -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
146 <a name="l00149"></a>00149 -0.615231573581695560f, -0.595699310302734380f,
147 <a name="l00150"></a>00150 -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
148 <a name="l00151"></a>00151 -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
149 <a name="l00152"></a>00152 -0.449611335992813110f, -0.427555084228515630f,
150 <a name="l00153"></a>00153 -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
151 <a name="l00154"></a>00154 -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
152 <a name="l00155"></a>00155 -0.266712754964828490f, -0.242980182170867920f,
153 <a name="l00156"></a>00156 -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
154 <a name="l00157"></a>00157 -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
155 <a name="l00158"></a>00158 -0.073564566671848297f, -0.049067676067352295f,
156 <a name="l00159"></a>00159 -0.024541229009628296f, -0.000000000000000184f, 0.024541229009628296f,
157 <a name="l00160"></a>00160 0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
158 <a name="l00161"></a>00161 0.122410677373409270f, 0.146730467677116390f,
159 <a name="l00162"></a>00162 0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
160 <a name="l00163"></a>00163 0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
161 <a name="l00164"></a>00164 0.313681751489639280f, 0.336889863014221190f,
162 <a name="l00165"></a>00165 0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
163 <a name="l00166"></a>00166 0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
164 <a name="l00167"></a>00167 0.492898195981979370f, 0.514102756977081300f,
165 <a name="l00168"></a>00168 0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
166 <a name="l00169"></a>00169 0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
167 <a name="l00170"></a>00170 0.653172850608825680f, 0.671558976173400880f,
168 <a name="l00171"></a>00171 0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
169 <a name="l00172"></a>00172 0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
170 <a name="l00173"></a>00173 0.788346409797668460f, 0.803207516670227050f,
171 <a name="l00174"></a>00174 0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
172 <a name="l00175"></a>00175 0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
173 <a name="l00176"></a>00176 0.893224298954010010f, 0.903989315032958980f,
174 <a name="l00177"></a>00177 0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
175 <a name="l00178"></a>00178 0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
176 <a name="l00179"></a>00179 0.963776051998138430f, 0.970031261444091800f,
177 <a name="l00180"></a>00180 0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
178 <a name="l00181"></a>00181 0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
179 <a name="l00182"></a>00182 0.997290432453155520f, 0.998795449733734130f,
180 <a name="l00183"></a>00183 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f
181 <a name="l00184"></a>00184 };
182 <a name="l00185"></a>00185
183 <a name="l00192"></a><a class="code" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">00192</a> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a class="code" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8" title="Fast approximation to the trigonometric cosine function for floating-point data.">arm_cos_f32</a>(
184 <a name="l00193"></a>00193 <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> x)
185 <a name="l00194"></a>00194 {
186 <a name="l00195"></a>00195 <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> cosVal, fract, in;
187 <a name="l00196"></a>00196 uint32_t index;
188 <a name="l00197"></a>00197 uint32_t tableSize = (uint32_t) <a class="code" href="arm__math_8h.html#a032503e76d6f69bc67e99e909c8125da" title="Macros required for SINE and COSINE Fast math approximations.">TABLE_SIZE</a>;
189 <a name="l00198"></a>00198 <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> wa, wb, wc, wd;
190 <a name="l00199"></a>00199 <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> a, b, c, d;
191 <a name="l00200"></a>00200 <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *tablePtr;
192 <a name="l00201"></a>00201 int32_t n;
193 <a name="l00202"></a>00202
194 <a name="l00203"></a>00203 <span class="comment">/* input x is in radians */</span>
195 <a name="l00204"></a>00204 <span class="comment">/* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */</span>
196 <a name="l00205"></a>00205 in = x * 0.159154943092f;
197 <a name="l00206"></a>00206
198 <a name="l00207"></a>00207 <span class="comment">/* Calculation of floor value of input */</span>
199 <a name="l00208"></a>00208 n = (int32_t) in;
200 <a name="l00209"></a>00209
201 <a name="l00210"></a>00210 <span class="comment">/* Make negative values towards -infinity */</span>
202 <a name="l00211"></a>00211 <span class="keywordflow">if</span>(x < 0.0f)
203 <a name="l00212"></a>00212 {
204 <a name="l00213"></a>00213 n = n - 1;
205 <a name="l00214"></a>00214 }
206 <a name="l00215"></a>00215
207 <a name="l00216"></a>00216 <span class="comment">/* Map input value to [0 1] */</span>
208 <a name="l00217"></a>00217 in = in - (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>) n;
209 <a name="l00218"></a>00218
210 <a name="l00219"></a>00219 <span class="comment">/* Calculation of index of the table */</span>
211 <a name="l00220"></a>00220 index = (uint32_t) (tableSize * in);
212 <a name="l00221"></a>00221
213 <a name="l00222"></a>00222 <span class="comment">/* fractional value calculation */</span>
214 <a name="l00223"></a>00223 fract = ((<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>) tableSize * in) - (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>) index;
215 <a name="l00224"></a>00224
216 <a name="l00225"></a>00225 <span class="comment">/* Initialise table pointer */</span>
217 <a name="l00226"></a>00226 tablePtr = (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *) & <a class="code" href="group__cos.html#ga9588015a9447c6e124d36339e273bd53">cosTable</a>[index];
218 <a name="l00227"></a>00227
219 <a name="l00228"></a>00228 <span class="comment">/* Read four nearest values of input value from the cos table */</span>
220 <a name="l00229"></a>00229 a = *tablePtr++;
221 <a name="l00230"></a>00230 b = *tablePtr++;
222 <a name="l00231"></a>00231 c = *tablePtr++;
223 <a name="l00232"></a>00232 d = *tablePtr++;
224 <a name="l00233"></a>00233
225 <a name="l00234"></a>00234 <span class="comment">/* Cubic interpolation process */</span>
226 <a name="l00235"></a>00235 wa = -(((0.166666667f) * fract) * (fract * fract)) +
227 <a name="l00236"></a>00236 (((0.5f) * (fract * fract)) - ((0.3333333333333f) * fract));
228 <a name="l00237"></a>00237 wb = ((((0.5f) * fract) * (fract * fract)) - (fract * fract)) +
229 <a name="l00238"></a>00238 (-((0.5f) * fract) + 1.0f);
230 <a name="l00239"></a>00239 wc = -(((0.5f) * fract) * (fract * fract)) +
231 <a name="l00240"></a>00240 (((0.5f) * (fract * fract)) + fract);
232 <a name="l00241"></a>00241 wd = (((0.166666667f) * fract) * (fract * fract)) -
233 <a name="l00242"></a>00242 ((0.166666667f) * fract);
234 <a name="l00243"></a>00243
235 <a name="l00244"></a>00244 <span class="comment">/* Calculate cos value */</span>
236 <a name="l00245"></a>00245 cosVal = ((a * wa) + (b * wb)) + ((c * wc) + (d * wd));
237 <a name="l00246"></a>00246
238 <a name="l00247"></a>00247 <span class="comment">/* Return the output value */</span>
239 <a name="l00248"></a>00248 <span class="keywordflow">return</span> (cosVal);
240 <a name="l00249"></a>00249
241 <a name="l00250"></a>00250 }
242 <a name="l00251"></a>00251
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