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math_helper.c 10KB

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  1. /* ----------------------------------------------------------------------
  2. * Copyright (C) 2010-2012 ARM Limited. All rights reserved.
  3. *
  4. * $Date: 17. January 2013
  5. * $Revision: V1.4.0
  6. *
  7. * Project: CMSIS DSP Library
  8. *
  9. * Title: math_helper.c
  10. *
  11. * Description: Definition of all helper functions required.
  12. *
  13. * Target Processor: Cortex-M4/Cortex-M3
  14. *
  15. * Redistribution and use in source and binary forms, with or without
  16. * modification, are permitted provided that the following conditions
  17. * are met:
  18. * - Redistributions of source code must retain the above copyright
  19. * notice, this list of conditions and the following disclaimer.
  20. * - Redistributions in binary form must reproduce the above copyright
  21. * notice, this list of conditions and the following disclaimer in
  22. * the documentation and/or other materials provided with the
  23. * distribution.
  24. * - Neither the name of ARM LIMITED nor the names of its contributors
  25. * may be used to endorse or promote products derived from this
  26. * software without specific prior written permission.
  27. *
  28. * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  29. * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  30. * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
  31. * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
  32. * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
  33. * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
  34. * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  35. * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
  36. * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  37. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
  38. * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
  39. * POSSIBILITY OF SUCH DAMAGE.
  40. * -------------------------------------------------------------------- */
  41. /* ----------------------------------------------------------------------
  42. * Include standard header files
  43. * -------------------------------------------------------------------- */
  44. #include<math.h>
  45. /* ----------------------------------------------------------------------
  46. * Include project header files
  47. * -------------------------------------------------------------------- */
  48. #include "math_helper.h"
  49. /**
  50. * @brief Caluclation of SNR
  51. * @param float* Pointer to the reference buffer
  52. * @param float* Pointer to the test buffer
  53. * @param uint32_t total number of samples
  54. * @return float SNR
  55. * The function Caluclates signal to noise ratio for the reference output
  56. * and test output
  57. */
  58. float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
  59. {
  60. float EnergySignal = 0.0, EnergyError = 0.0;
  61. uint32_t i;
  62. float SNR;
  63. int temp;
  64. int *test;
  65. for (i = 0; i < buffSize; i++)
  66. {
  67. /* Checking for a NAN value in pRef array */
  68. test = (int *)(&pRef[i]);
  69. temp = *test;
  70. if(temp == 0x7FC00000)
  71. {
  72. return(0);
  73. }
  74. /* Checking for a NAN value in pTest array */
  75. test = (int *)(&pTest[i]);
  76. temp = *test;
  77. if(temp == 0x7FC00000)
  78. {
  79. return(0);
  80. }
  81. EnergySignal += pRef[i] * pRef[i];
  82. EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
  83. }
  84. /* Checking for a NAN value in EnergyError */
  85. test = (int *)(&EnergyError);
  86. temp = *test;
  87. if(temp == 0x7FC00000)
  88. {
  89. return(0);
  90. }
  91. SNR = 10 * log10 (EnergySignal / EnergyError);
  92. return (SNR);
  93. }
  94. /**
  95. * @brief Provide guard bits for Input buffer
  96. * @param q15_t* Pointer to input buffer
  97. * @param uint32_t blockSize
  98. * @param uint32_t guard_bits
  99. * @return none
  100. * The function Provides the guard bits for the buffer
  101. * to avoid overflow
  102. */
  103. void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
  104. uint32_t guard_bits)
  105. {
  106. uint32_t i;
  107. for (i = 0; i < blockSize; i++)
  108. {
  109. input_buf[i] = input_buf[i] >> guard_bits;
  110. }
  111. }
  112. /**
  113. * @brief Converts float to fixed in q12.20 format
  114. * @param uint32_t number of samples in the buffer
  115. * @return none
  116. * The function converts floating point values to fixed point(q12.20) values
  117. */
  118. void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
  119. {
  120. uint32_t i;
  121. for (i = 0; i < numSamples; i++)
  122. {
  123. /* 1048576.0f corresponds to pow(2, 20) */
  124. pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
  125. pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
  126. if (pIn[i] == (float) 1.0)
  127. {
  128. pOut[i] = 0x000FFFFF;
  129. }
  130. }
  131. }
  132. /**
  133. * @brief Compare MATLAB Reference Output and ARM Test output
  134. * @param q15_t* Pointer to Ref buffer
  135. * @param q15_t* Pointer to Test buffer
  136. * @param uint32_t number of samples in the buffer
  137. * @return none
  138. */
  139. uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
  140. {
  141. uint32_t i;
  142. int32_t diff;
  143. uint32_t diffCrnt = 0;
  144. uint32_t maxDiff = 0;
  145. for (i = 0; i < numSamples; i++)
  146. {
  147. diff = pIn[i] - pOut[i];
  148. diffCrnt = (diff > 0) ? diff : -diff;
  149. if(diffCrnt > maxDiff)
  150. {
  151. maxDiff = diffCrnt;
  152. }
  153. }
  154. return(maxDiff);
  155. }
  156. /**
  157. * @brief Compare MATLAB Reference Output and ARM Test output
  158. * @param q31_t* Pointer to Ref buffer
  159. * @param q31_t* Pointer to Test buffer
  160. * @param uint32_t number of samples in the buffer
  161. * @return none
  162. */
  163. uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
  164. {
  165. uint32_t i;
  166. int32_t diff;
  167. uint32_t diffCrnt = 0;
  168. uint32_t maxDiff = 0;
  169. for (i = 0; i < numSamples; i++)
  170. {
  171. diff = pIn[i] - pOut[i];
  172. diffCrnt = (diff > 0) ? diff : -diff;
  173. if(diffCrnt > maxDiff)
  174. {
  175. maxDiff = diffCrnt;
  176. }
  177. }
  178. return(maxDiff);
  179. }
  180. /**
  181. * @brief Provide guard bits for Input buffer
  182. * @param q31_t* Pointer to input buffer
  183. * @param uint32_t blockSize
  184. * @param uint32_t guard_bits
  185. * @return none
  186. * The function Provides the guard bits for the buffer
  187. * to avoid overflow
  188. */
  189. void arm_provide_guard_bits_q31 (q31_t * input_buf,
  190. uint32_t blockSize,
  191. uint32_t guard_bits)
  192. {
  193. uint32_t i;
  194. for (i = 0; i < blockSize; i++)
  195. {
  196. input_buf[i] = input_buf[i] >> guard_bits;
  197. }
  198. }
  199. /**
  200. * @brief Provide guard bits for Input buffer
  201. * @param q31_t* Pointer to input buffer
  202. * @param uint32_t blockSize
  203. * @param uint32_t guard_bits
  204. * @return none
  205. * The function Provides the guard bits for the buffer
  206. * to avoid overflow
  207. */
  208. void arm_provide_guard_bits_q7 (q7_t * input_buf,
  209. uint32_t blockSize,
  210. uint32_t guard_bits)
  211. {
  212. uint32_t i;
  213. for (i = 0; i < blockSize; i++)
  214. {
  215. input_buf[i] = input_buf[i] >> guard_bits;
  216. }
  217. }
  218. /**
  219. * @brief Caluclates number of guard bits
  220. * @param uint32_t number of additions
  221. * @return none
  222. * The function Caluclates the number of guard bits
  223. * depending on the numtaps
  224. */
  225. uint32_t arm_calc_guard_bits (uint32_t num_adds)
  226. {
  227. uint32_t i = 1, j = 0;
  228. if (num_adds == 1)
  229. {
  230. return (0);
  231. }
  232. while (i < num_adds)
  233. {
  234. i = i * 2;
  235. j++;
  236. }
  237. return (j);
  238. }
  239. /**
  240. * @brief Converts Q15 to floating-point
  241. * @param uint32_t number of samples in the buffer
  242. * @return none
  243. */
  244. void arm_apply_guard_bits (float32_t * pIn,
  245. uint32_t numSamples,
  246. uint32_t guard_bits)
  247. {
  248. uint32_t i;
  249. for (i = 0; i < numSamples; i++)
  250. {
  251. pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
  252. }
  253. }
  254. /**
  255. * @brief Calculates pow(2, numShifts)
  256. * @param uint32_t number of shifts
  257. * @return pow(2, numShifts)
  258. */
  259. uint32_t arm_calc_2pow(uint32_t numShifts)
  260. {
  261. uint32_t i, val = 1;
  262. for (i = 0; i < numShifts; i++)
  263. {
  264. val = val * 2;
  265. }
  266. return(val);
  267. }
  268. /**
  269. * @brief Converts float to fixed q14
  270. * @param uint32_t number of samples in the buffer
  271. * @return none
  272. * The function converts floating point values to fixed point values
  273. */
  274. void arm_float_to_q14 (float *pIn, q15_t * pOut,
  275. uint32_t numSamples)
  276. {
  277. uint32_t i;
  278. for (i = 0; i < numSamples; i++)
  279. {
  280. /* 16384.0f corresponds to pow(2, 14) */
  281. pOut[i] = (q15_t) (pIn[i] * 16384.0f);
  282. pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
  283. if (pIn[i] == (float) 2.0)
  284. {
  285. pOut[i] = 0x7FFF;
  286. }
  287. }
  288. }
  289. /**
  290. * @brief Converts float to fixed q30 format
  291. * @param uint32_t number of samples in the buffer
  292. * @return none
  293. * The function converts floating point values to fixed point values
  294. */
  295. void arm_float_to_q30 (float *pIn, q31_t * pOut,
  296. uint32_t numSamples)
  297. {
  298. uint32_t i;
  299. for (i = 0; i < numSamples; i++)
  300. {
  301. /* 1073741824.0f corresponds to pow(2, 30) */
  302. pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
  303. pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
  304. if (pIn[i] == (float) 2.0)
  305. {
  306. pOut[i] = 0x7FFFFFFF;
  307. }
  308. }
  309. }
  310. /**
  311. * @brief Converts float to fixed q30 format
  312. * @param uint32_t number of samples in the buffer
  313. * @return none
  314. * The function converts floating point values to fixed point values
  315. */
  316. void arm_float_to_q29 (float *pIn, q31_t * pOut,
  317. uint32_t numSamples)
  318. {
  319. uint32_t i;
  320. for (i = 0; i < numSamples; i++)
  321. {
  322. /* 1073741824.0f corresponds to pow(2, 30) */
  323. pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
  324. pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
  325. if (pIn[i] == (float) 4.0)
  326. {
  327. pOut[i] = 0x7FFFFFFF;
  328. }
  329. }
  330. }
  331. /**
  332. * @brief Converts float to fixed q28 format
  333. * @param uint32_t number of samples in the buffer
  334. * @return none
  335. * The function converts floating point values to fixed point values
  336. */
  337. void arm_float_to_q28 (float *pIn, q31_t * pOut,
  338. uint32_t numSamples)
  339. {
  340. uint32_t i;
  341. for (i = 0; i < numSamples; i++)
  342. {
  343. /* 268435456.0f corresponds to pow(2, 28) */
  344. pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
  345. pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
  346. if (pIn[i] == (float) 8.0)
  347. {
  348. pOut[i] = 0x7FFFFFFF;
  349. }
  350. }
  351. }
  352. /**
  353. * @brief Clip the float values to +/- 1
  354. * @param pIn input buffer
  355. * @param numSamples number of samples in the buffer
  356. * @return none
  357. * The function converts floating point values to fixed point values
  358. */
  359. void arm_clip_f32 (float *pIn, uint32_t numSamples)
  360. {
  361. uint32_t i;
  362. for (i = 0; i < numSamples; i++)
  363. {
  364. if(pIn[i] > 1.0f)
  365. {
  366. pIn[i] = 1.0;
  367. }
  368. else if( pIn[i] < -1.0f)
  369. {
  370. pIn[i] = -1.0;
  371. }
  372. }
  373. }