A bundled STM32F10x Std Periph and CMSIS library
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
 
 
 
 
 

327 lines
9.4 KiB

  1. /* ----------------------------------------------------------------------
  2. * Copyright (C) 2010-2014 ARM Limited. All rights reserved.
  3. *
  4. * $Date: 12. March 2014
  5. * $Revision: V1.4.4
  6. *
  7. * Project: CMSIS DSP Library
  8. * Title: arm_cmplx_mult_cmplx_q31.c
  9. *
  10. * Description: Q31 complex-by-complex multiplication
  11. *
  12. * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
  13. *
  14. * Redistribution and use in source and binary forms, with or without
  15. * modification, are permitted provided that the following conditions
  16. * are met:
  17. * - Redistributions of source code must retain the above copyright
  18. * notice, this list of conditions and the following disclaimer.
  19. * - Redistributions in binary form must reproduce the above copyright
  20. * notice, this list of conditions and the following disclaimer in
  21. * the documentation and/or other materials provided with the
  22. * distribution.
  23. * - Neither the name of ARM LIMITED nor the names of its contributors
  24. * may be used to endorse or promote products derived from this
  25. * software without specific prior written permission.
  26. *
  27. * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  28. * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  29. * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
  30. * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
  31. * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
  32. * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
  33. * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  34. * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
  35. * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  36. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
  37. * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
  38. * POSSIBILITY OF SUCH DAMAGE.
  39. * -------------------------------------------------------------------- */
  40. #include "arm_math.h"
  41. /**
  42. * @ingroup groupCmplxMath
  43. */
  44. /**
  45. * @addtogroup CmplxByCmplxMult
  46. * @{
  47. */
  48. /**
  49. * @brief Q31 complex-by-complex multiplication
  50. * @param[in] *pSrcA points to the first input vector
  51. * @param[in] *pSrcB points to the second input vector
  52. * @param[out] *pDst points to the output vector
  53. * @param[in] numSamples number of complex samples in each vector
  54. * @return none.
  55. *
  56. * <b>Scaling and Overflow Behavior:</b>
  57. * \par
  58. * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
  59. * Input down scaling is not required.
  60. */
  61. void arm_cmplx_mult_cmplx_q31(
  62. q31_t * pSrcA,
  63. q31_t * pSrcB,
  64. q31_t * pDst,
  65. uint32_t numSamples)
  66. {
  67. q31_t a, b, c, d; /* Temporary variables to store real and imaginary values */
  68. uint32_t blkCnt; /* loop counters */
  69. q31_t mul1, mul2, mul3, mul4;
  70. q31_t out1, out2;
  71. #ifndef ARM_MATH_CM0_FAMILY
  72. /* Run the below code for Cortex-M4 and Cortex-M3 */
  73. /* loop Unrolling */
  74. blkCnt = numSamples >> 2u;
  75. /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
  76. ** a second loop below computes the remaining 1 to 3 samples. */
  77. while(blkCnt > 0u)
  78. {
  79. /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
  80. /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
  81. a = *pSrcA++;
  82. b = *pSrcA++;
  83. c = *pSrcB++;
  84. d = *pSrcB++;
  85. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  86. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  87. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  88. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  89. mul1 = (mul1 >> 1);
  90. mul2 = (mul2 >> 1);
  91. mul3 = (mul3 >> 1);
  92. mul4 = (mul4 >> 1);
  93. out1 = mul1 - mul2;
  94. out2 = mul3 + mul4;
  95. /* store the real result in 3.29 format in the destination buffer. */
  96. *pDst++ = out1;
  97. /* store the imag result in 3.29 format in the destination buffer. */
  98. *pDst++ = out2;
  99. a = *pSrcA++;
  100. b = *pSrcA++;
  101. c = *pSrcB++;
  102. d = *pSrcB++;
  103. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  104. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  105. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  106. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  107. mul1 = (mul1 >> 1);
  108. mul2 = (mul2 >> 1);
  109. mul3 = (mul3 >> 1);
  110. mul4 = (mul4 >> 1);
  111. out1 = mul1 - mul2;
  112. out2 = mul3 + mul4;
  113. /* store the real result in 3.29 format in the destination buffer. */
  114. *pDst++ = out1;
  115. /* store the imag result in 3.29 format in the destination buffer. */
  116. *pDst++ = out2;
  117. a = *pSrcA++;
  118. b = *pSrcA++;
  119. c = *pSrcB++;
  120. d = *pSrcB++;
  121. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  122. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  123. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  124. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  125. mul1 = (mul1 >> 1);
  126. mul2 = (mul2 >> 1);
  127. mul3 = (mul3 >> 1);
  128. mul4 = (mul4 >> 1);
  129. out1 = mul1 - mul2;
  130. out2 = mul3 + mul4;
  131. /* store the real result in 3.29 format in the destination buffer. */
  132. *pDst++ = out1;
  133. /* store the imag result in 3.29 format in the destination buffer. */
  134. *pDst++ = out2;
  135. a = *pSrcA++;
  136. b = *pSrcA++;
  137. c = *pSrcB++;
  138. d = *pSrcB++;
  139. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  140. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  141. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  142. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  143. mul1 = (mul1 >> 1);
  144. mul2 = (mul2 >> 1);
  145. mul3 = (mul3 >> 1);
  146. mul4 = (mul4 >> 1);
  147. out1 = mul1 - mul2;
  148. out2 = mul3 + mul4;
  149. /* store the real result in 3.29 format in the destination buffer. */
  150. *pDst++ = out1;
  151. /* store the imag result in 3.29 format in the destination buffer. */
  152. *pDst++ = out2;
  153. /* Decrement the blockSize loop counter */
  154. blkCnt--;
  155. }
  156. /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
  157. ** No loop unrolling is used. */
  158. blkCnt = numSamples % 0x4u;
  159. while(blkCnt > 0u)
  160. {
  161. /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
  162. /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
  163. a = *pSrcA++;
  164. b = *pSrcA++;
  165. c = *pSrcB++;
  166. d = *pSrcB++;
  167. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  168. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  169. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  170. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  171. mul1 = (mul1 >> 1);
  172. mul2 = (mul2 >> 1);
  173. mul3 = (mul3 >> 1);
  174. mul4 = (mul4 >> 1);
  175. out1 = mul1 - mul2;
  176. out2 = mul3 + mul4;
  177. /* store the real result in 3.29 format in the destination buffer. */
  178. *pDst++ = out1;
  179. /* store the imag result in 3.29 format in the destination buffer. */
  180. *pDst++ = out2;
  181. /* Decrement the blockSize loop counter */
  182. blkCnt--;
  183. }
  184. #else
  185. /* Run the below code for Cortex-M0 */
  186. /* loop Unrolling */
  187. blkCnt = numSamples >> 1u;
  188. /* First part of the processing with loop unrolling. Compute 2 outputs at a time.
  189. ** a second loop below computes the remaining 1 sample. */
  190. while(blkCnt > 0u)
  191. {
  192. /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
  193. /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
  194. a = *pSrcA++;
  195. b = *pSrcA++;
  196. c = *pSrcB++;
  197. d = *pSrcB++;
  198. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  199. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  200. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  201. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  202. mul1 = (mul1 >> 1);
  203. mul2 = (mul2 >> 1);
  204. mul3 = (mul3 >> 1);
  205. mul4 = (mul4 >> 1);
  206. out1 = mul1 - mul2;
  207. out2 = mul3 + mul4;
  208. /* store the real result in 3.29 format in the destination buffer. */
  209. *pDst++ = out1;
  210. /* store the imag result in 3.29 format in the destination buffer. */
  211. *pDst++ = out2;
  212. a = *pSrcA++;
  213. b = *pSrcA++;
  214. c = *pSrcB++;
  215. d = *pSrcB++;
  216. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  217. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  218. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  219. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  220. mul1 = (mul1 >> 1);
  221. mul2 = (mul2 >> 1);
  222. mul3 = (mul3 >> 1);
  223. mul4 = (mul4 >> 1);
  224. out1 = mul1 - mul2;
  225. out2 = mul3 + mul4;
  226. /* store the real result in 3.29 format in the destination buffer. */
  227. *pDst++ = out1;
  228. /* store the imag result in 3.29 format in the destination buffer. */
  229. *pDst++ = out2;
  230. /* Decrement the blockSize loop counter */
  231. blkCnt--;
  232. }
  233. /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
  234. ** No loop unrolling is used. */
  235. blkCnt = numSamples % 0x2u;
  236. while(blkCnt > 0u)
  237. {
  238. /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
  239. /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
  240. a = *pSrcA++;
  241. b = *pSrcA++;
  242. c = *pSrcB++;
  243. d = *pSrcB++;
  244. mul1 = (q31_t) (((q63_t) a * c) >> 32);
  245. mul2 = (q31_t) (((q63_t) b * d) >> 32);
  246. mul3 = (q31_t) (((q63_t) a * d) >> 32);
  247. mul4 = (q31_t) (((q63_t) b * c) >> 32);
  248. mul1 = (mul1 >> 1);
  249. mul2 = (mul2 >> 1);
  250. mul3 = (mul3 >> 1);
  251. mul4 = (mul4 >> 1);
  252. out1 = mul1 - mul2;
  253. out2 = mul3 + mul4;
  254. /* store the real result in 3.29 format in the destination buffer. */
  255. *pDst++ = out1;
  256. /* store the imag result in 3.29 format in the destination buffer. */
  257. *pDst++ = out2;
  258. /* Decrement the blockSize loop counter */
  259. blkCnt--;
  260. }
  261. #endif /* #ifndef ARM_MATH_CM0_FAMILY */
  262. }
  263. /**
  264. * @} end of CmplxByCmplxMult group
  265. */