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1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_cmplx_mag_q31.c
4  * Description:  Q31 complex magnitude
5  *
6  * $Date:        23 April 2021
7  * $Revision:    V1.9.0
8  *
9  * Target Processor: Cortex-M and Cortex-A cores
10  * -------------------------------------------------------------------- */
11 /*
12  * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
13  *
14  * SPDX-License-Identifier: Apache-2.0
15  *
16  * Licensed under the Apache License, Version 2.0 (the License); you may
17  * not use this file except in compliance with the License.
18  * You may obtain a copy of the License at
19  *
20  * www.apache.org/licenses/LICENSE-2.0
21  *
22  * Unless required by applicable law or agreed to in writing, software
23  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
24  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25  * See the License for the specific language governing permissions and
26  * limitations under the License.
27  */
28 
29 #include "dsp/complex_math_functions.h"
30 
31 /**
32   @ingroup groupCmplxMath
33  */
34 
35 /**
36   @addtogroup cmplx_mag
37   @{
38  */
39 
40 /**
41   @brief         Q31 complex magnitude.
42   @param[in]     pSrc        points to input vector
43   @param[out]    pDst        points to output vector
44   @param[in]     numSamples  number of samples in each vector
45   @return        none
46 
47   @par           Scaling and Overflow Behavior
48                    The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
49                    Input down scaling is not required.
50  */
51 
52 #if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
53 
54 #include "arm_helium_utils.h"
55 
arm_cmplx_mag_q31(const q31_t * pSrc,q31_t * pDst,uint32_t numSamples)56 void arm_cmplx_mag_q31(
57   const q31_t * pSrc,
58         q31_t * pDst,
59         uint32_t numSamples)
60 {
61     int32_t blockSize = numSamples;  /* loop counters */
62     uint32_t  blkCnt;           /* loop counters */
63 
64     q31x4x2_t vecSrc;
65     q31x4_t sum;
66 
67     q31_t real, imag;                              /* Temporary input variables */
68     q31_t acc0, acc1;                              /* Accumulators */
69 
70     /* Compute 4 complex samples at a time */
71     blkCnt = blockSize >> 2;
72     while (blkCnt > 0U)
73     {
74         vecSrc = vld2q(pSrc);
75 
76         sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
77                      vmulhq(vecSrc.val[1], vecSrc.val[1]));
78 
79         sum = vshrq(sum, 1);
80 
81         /*
82 
83         This function is using a table. There are compilations flags to avoid
84         including this table (and in this case, arm_cmplx_maq_q31 must not
85         be built and linked.)
86 
87         */
88         sum = FAST_VSQRT_Q31(sum);
89 
90         vst1q(pDst, sum);
91 
92         /*
93          * Decrement the blockSize loop counter
94          */
95         blkCnt--;
96         pSrc += 8;
97         pDst += 4;
98     }
99 
100     /*
101      * tail
102      */
103     blkCnt = blockSize & 3;
104     while (blkCnt > 0U)
105     {
106       /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
107 
108       real = *pSrc++;
109       imag = *pSrc++;
110       acc0 = (q31_t) (((q63_t) real * real) >> 33);
111       acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
112 
113       /* store result in 2.30 format in destination buffer. */
114       arm_sqrt_q31(acc0 + acc1, pDst++);
115 
116       /* Decrement loop counter */
117       blkCnt--;
118     }
119 }
120 
121 #else
arm_cmplx_mag_q31(const q31_t * pSrc,q31_t * pDst,uint32_t numSamples)122 void arm_cmplx_mag_q31(
123   const q31_t * pSrc,
124         q31_t * pDst,
125         uint32_t numSamples)
126 {
127         uint32_t blkCnt;                               /* Loop counter */
128         q31_t real, imag;                              /* Temporary input variables */
129         q31_t acc0, acc1;                              /* Accumulators */
130 
131 #if defined (ARM_MATH_LOOPUNROLL)
132 
133   /* Loop unrolling: Compute 4 outputs at a time */
134   blkCnt = numSamples >> 2U;
135 
136   while (blkCnt > 0U)
137   {
138     /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
139 
140     real = *pSrc++;
141     imag = *pSrc++;
142     acc0 = (q31_t) (((q63_t) real * real) >> 33);
143     acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
144 
145     /* store result in 2.30 format in destination buffer. */
146     arm_sqrt_q31(acc0 + acc1, pDst++);
147 
148     real = *pSrc++;
149     imag = *pSrc++;
150     acc0 = (q31_t) (((q63_t) real * real) >> 33);
151     acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
152     arm_sqrt_q31(acc0 + acc1, pDst++);
153 
154     real = *pSrc++;
155     imag = *pSrc++;
156     acc0 = (q31_t) (((q63_t) real * real) >> 33);
157     acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
158     arm_sqrt_q31(acc0 + acc1, pDst++);
159 
160     real = *pSrc++;
161     imag = *pSrc++;
162     acc0 = (q31_t) (((q63_t) real * real) >> 33);
163     acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
164     arm_sqrt_q31(acc0 + acc1, pDst++);
165 
166     /* Decrement loop counter */
167     blkCnt--;
168   }
169 
170   /* Loop unrolling: Compute remaining outputs */
171   blkCnt = numSamples % 0x4U;
172 
173 #else
174 
175   /* Initialize blkCnt with number of samples */
176   blkCnt = numSamples;
177 
178 #endif /* #if defined (ARM_MATH_LOOPUNROLL) */
179 
180   while (blkCnt > 0U)
181   {
182     /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
183 
184     real = *pSrc++;
185     imag = *pSrc++;
186     acc0 = (q31_t) (((q63_t) real * real) >> 33);
187     acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
188 
189     /* store result in 2.30 format in destination buffer. */
190     arm_sqrt_q31(acc0 + acc1, pDst++);
191 
192     /* Decrement loop counter */
193     blkCnt--;
194   }
195 
196 }
197 #endif /* defined(ARM_MATH_MVEI) */
198 
199 /**
200   @} end of cmplx_mag group
201  */
202