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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_power_q15.c
9 *
10 * Description: Sum of the squares of the elements of a Q15 vector.
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 groupStats
45 */
46
47 /**
48 * @addtogroup power
49 * @{
50 */
51
52 /**
53 * @brief Sum of the squares of the elements of a Q15 vector.
54 * @param[in] *pSrc points to the input vector
55 * @param[in] blockSize length of the input vector
56 * @param[out] *pResult sum of the squares value returned here
57 * @return none.
58 *
59 * @details
60 * <b>Scaling and Overflow Behavior:</b>
61 *
62 * \par
63 * The function is implemented using a 64-bit internal accumulator.
64 * The input is represented in 1.15 format.
65 * Intermediate multiplication yields a 2.30 format, and this
66 * result is added without saturation to a 64-bit accumulator in 34.30 format.
67 * With 33 guard bits in the accumulator, there is no risk of overflow, and the
68 * full precision of the intermediate multiplication is preserved.
69 * Finally, the return result is in 34.30 format.
70 *
71 */
72
73 void arm_power_q15(
74 q15_t * pSrc,
75 uint32_t blockSize,
76 q63_t * pResult)
77 {
78 q63_t sum = 0; /* Temporary result storage */
79
80 #ifndef ARM_MATH_CM0_FAMILY
81
82 /* Run the below code for Cortex-M4 and Cortex-M3 */
83
84 q31_t in32; /* Temporary variable to store input value */
85 q15_t in16; /* Temporary variable to store input value */
86 uint32_t blkCnt; /* loop counter */
87
88
89 /* loop Unrolling */
90 blkCnt = blockSize >> 2u;
91
92 /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
93 ** a second loop below computes the remaining 1 to 3 samples. */
94 while(blkCnt > 0u)
95 {
96 /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
97 /* Compute Power and then store the result in a temporary variable, sum. */
98 in32 = *__SIMD32(pSrc)++;
99 sum = __SMLALD(in32, in32, sum);
100 in32 = *__SIMD32(pSrc)++;
101 sum = __SMLALD(in32, in32, sum);
102
103 /* Decrement the loop counter */
104 blkCnt--;
105 }
106
107 /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
108 ** No loop unrolling is used. */
109 blkCnt = blockSize % 0x4u;
110
111 while(blkCnt > 0u)
112 {
113 /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
114 /* Compute Power and then store the result in a temporary variable, sum. */
115 in16 = *pSrc++;
116 sum = __SMLALD(in16, in16, sum);
117
118 /* Decrement the loop counter */
119 blkCnt--;
120 }
121
122 #else
123
124 /* Run the below code for Cortex-M0 */
125
126 q15_t in; /* Temporary variable to store input value */
127 uint32_t blkCnt; /* loop counter */
128
129
130 /* Loop over blockSize number of values */
131 blkCnt = blockSize;
132
133 while(blkCnt > 0u)
134 {
135 /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
136 /* Compute Power and then store the result in a temporary variable, sum. */
137 in = *pSrc++;
138 sum += ((q31_t) in * in);
139
140 /* Decrement the loop counter */
141 blkCnt--;
142 }
143
144 #endif /* #ifndef ARM_MATH_CM0_FAMILY */
145
146 /* Store the results in 34.30 format */
147 *pResult = sum;
148 }
149
150 /**
151 * @} end of power group
152 */
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