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1 /* ----------------------------------------------------------------------
2 * Copyright (C) 2010-2013 ARM Limited. All rights reserved.
3 *
4 * $Date: 17. January 2013
5 * $Revision: V1.4.1
6 *
7 * Project: CMSIS DSP Library
8 * Title: arm_cmplx_mult_cmplx_q15.c
9 *
10 * Description: Q15 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
41 #include "arm_math.h"
42
43 /**
44 * @ingroup groupCmplxMath
45 */
46
47 /**
48 * @addtogroup CmplxByCmplxMult
49 * @{
50 */
51
52 /**
53 * @brief Q15 complex-by-complex multiplication
54 * @param[in] *pSrcA points to the first input vector
55 * @param[in] *pSrcB points to the second input vector
56 * @param[out] *pDst points to the output vector
57 * @param[in] numSamples number of complex samples in each vector
58 * @return none.
59 *
60 * <b>Scaling and Overflow Behavior:</b>
61 * \par
62 * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
63 */
64
65 void arm_cmplx_mult_cmplx_q15(
66 q15_t * pSrcA,
67 q15_t * pSrcB,
68 q15_t * pDst,
69 uint32_t numSamples)
70 {
71 q15_t a, b, c, d; /* Temporary variables to store real and imaginary values */
72
73 #ifndef ARM_MATH_CM0_FAMILY
74
75 /* Run the below code for Cortex-M4 and Cortex-M3 */
76 uint32_t blkCnt; /* loop counters */
77
78 /* loop Unrolling */
79 blkCnt = numSamples >> 2u;
80
81 /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
82 ** a second loop below computes the remaining 1 to 3 samples. */
83 while(blkCnt > 0u)
84 {
85 /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
86 /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
87 a = *pSrcA++;
88 b = *pSrcA++;
89 c = *pSrcB++;
90 d = *pSrcB++;
91
92 /* store the result in 3.13 format in the destination buffer. */
93 *pDst++ =
94 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
95 /* store the result in 3.13 format in the destination buffer. */
96 *pDst++ =
97 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
98
99 a = *pSrcA++;
100 b = *pSrcA++;
101 c = *pSrcB++;
102 d = *pSrcB++;
103
104 /* store the result in 3.13 format in the destination buffer. */
105 *pDst++ =
106 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
107 /* store the result in 3.13 format in the destination buffer. */
108 *pDst++ =
109 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
110
111 a = *pSrcA++;
112 b = *pSrcA++;
113 c = *pSrcB++;
114 d = *pSrcB++;
115
116 /* store the result in 3.13 format in the destination buffer. */
117 *pDst++ =
118 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
119 /* store the result in 3.13 format in the destination buffer. */
120 *pDst++ =
121 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
122
123 a = *pSrcA++;
124 b = *pSrcA++;
125 c = *pSrcB++;
126 d = *pSrcB++;
127
128 /* store the result in 3.13 format in the destination buffer. */
129 *pDst++ =
130 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
131 /* store the result in 3.13 format in the destination buffer. */
132 *pDst++ =
133 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
134
135 /* Decrement the blockSize loop counter */
136 blkCnt--;
137 }
138
139 /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
140 ** No loop unrolling is used. */
141 blkCnt = numSamples % 0x4u;
142
143 while(blkCnt > 0u)
144 {
145 /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
146 /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
147 a = *pSrcA++;
148 b = *pSrcA++;
149 c = *pSrcB++;
150 d = *pSrcB++;
151
152 /* store the result in 3.13 format in the destination buffer. */
153 *pDst++ =
154 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
155 /* store the result in 3.13 format in the destination buffer. */
156 *pDst++ =
157 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
158
159 /* Decrement the blockSize loop counter */
160 blkCnt--;
161 }
162
163 #else
164
165 /* Run the below code for Cortex-M0 */
166
167 while(numSamples > 0u)
168 {
169 /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
170 /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
171 a = *pSrcA++;
172 b = *pSrcA++;
173 c = *pSrcB++;
174 d = *pSrcB++;
175
176 /* store the result in 3.13 format in the destination buffer. */
177 *pDst++ =
178 (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
179 /* store the result in 3.13 format in the destination buffer. */
180 *pDst++ =
181 (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
182
183 /* Decrement the blockSize loop counter */
184 numSamples--;
185 }
186
187 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
188
189 }
190
191 /**
192 * @} end of CmplxByCmplxMult group
193 */
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