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-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt74
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c66
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c32
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c185
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c213
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c207
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c193
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c288
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c340
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c256
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c259
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c241
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c273
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c100
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c223
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c268
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c201
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c174
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c235
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c76
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c221
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c187
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c271
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c305
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c83
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c258
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c253
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c194
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c224
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c238
-rw-r--r--Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c204
31 files changed, 6342 insertions, 0 deletions
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..5251dd3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
@@ -0,0 +1,74 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPComplexMath)
+
+include(configLib)
+include(configDsp)
+
+add_library(CMSISDSPComplexMath STATIC)
+
+configLib(CMSISDSPComplexMath ${ROOT})
+configDsp(CMSISDSPComplexMath ${ROOT})
+
+
+include(interpol)
+interpol(CMSISDSPComplexMath)
+
+
+if (CONFIGTABLE AND ALLFAST)
+ target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_ALL_FAST_TABLES)
+endif()
+
+# Vectorized code is defining sqrt
+# so fast tables required even if Fast Math not built.
+if (CONFIGTABLE AND (HELIUM OR MVEF OR MVEI))
+ target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_FAST_ALLOW_TABLES)
+endif()
+
+
+# MVE code is using a table for computing the fast sqrt arm_cmplx_mag_q31
+# There is the possibility of not compiling this function and not including
+# the table.
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q31 OR (NOT HELIUM AND NOT MVEI))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q15 OR (NOT HELIUM AND NOT MVEI))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_FAST_Q15 OR (NOT HELIUM AND NOT MVEI))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_fast_q15.c)
+endif()
+
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f64.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f64.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f64.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q31.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f32.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q15.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q31.c)
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f16.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f16.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f16.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f16.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f16.c)
+target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f16.c)
+endif()
+
+### Includes
+target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/Include")
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
new file mode 100644
index 0000000..9b46bb3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
@@ -0,0 +1,66 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: CompexMathFunctions.c
+ * Description: Combination of all comlex math function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cmplx_conj_f32.c"
+#include "arm_cmplx_conj_q15.c"
+#include "arm_cmplx_conj_q31.c"
+#include "arm_cmplx_dot_prod_f32.c"
+#include "arm_cmplx_dot_prod_q15.c"
+#include "arm_cmplx_dot_prod_q31.c"
+#include "arm_cmplx_mag_f32.c"
+#include "arm_cmplx_mag_f64.c"
+
+#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE)
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+ #include "arm_cmplx_mag_q15.c"
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
+ #include "arm_cmplx_mag_fast_q15.c"
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+ #include "arm_cmplx_mag_q31.c"
+ #endif
+#else
+ #include "arm_cmplx_mag_q15.c"
+ #include "arm_cmplx_mag_fast_q15.c"
+ #include "arm_cmplx_mag_q31.c"
+#endif
+
+#include "arm_cmplx_mag_squared_f32.c"
+#include "arm_cmplx_mag_squared_f64.c"
+#include "arm_cmplx_mag_squared_q15.c"
+#include "arm_cmplx_mag_squared_q31.c"
+#include "arm_cmplx_mult_cmplx_f32.c"
+#include "arm_cmplx_mult_cmplx_f64.c"
+#include "arm_cmplx_mult_cmplx_q15.c"
+#include "arm_cmplx_mult_cmplx_q31.c"
+#include "arm_cmplx_mult_real_f32.c"
+#include "arm_cmplx_mult_real_q15.c"
+#include "arm_cmplx_mult_real_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c
new file mode 100644
index 0000000..d2c7784
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c
@@ -0,0 +1,32 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: CompexMathFunctionsF16.c
+ * Description: Combination of all complex math function f16 source files.
+ *
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cmplx_conj_f16.c"
+#include "arm_cmplx_dot_prod_f16.c"
+#include "arm_cmplx_mag_f16.c"
+#include "arm_cmplx_mag_squared_f16.c"
+#include "arm_cmplx_mult_cmplx_f16.c"
+#include "arm_cmplx_mult_real_f16.c"
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c
new file mode 100644
index 0000000..6cf871e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c
@@ -0,0 +1,185 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_f16.c
+ * Description: Floating-point complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_conj Complex Conjugate
+
+ Conjugates the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the destination data where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ static const float16_t cmplx_conj_sign[8] = { 1.0f, -1.0f, 1.0f, -1.0f, 1.0f, -1.0f, 1.0f, -1.0f };
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f16x8_t vecSrc;
+ f16x8_t vecSign;
+
+ /*
+ * load sign vector
+ */
+ vecSign = *(f16x8_t *) cmplx_conj_sign;
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld1q(pSrc);
+ vst1q(pDst,vmulq(vecSrc, vecSign));
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_conj_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -(_Float16)*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_conj group
+ */
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 0000000..5920a77
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,213 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_f32.c
+ * Description: Floating-point complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_conj Complex Conjugate
+
+ Conjugates the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the destination data where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ static const float32_t cmplx_conj_sign[4] = { 1.0f, -1.0f, 1.0f, -1.0f };
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t vecSrc;
+ f32x4_t vecSign;
+
+ /*
+ * load sign vector
+ */
+ vecSign = *(f32x4_t *) cmplx_conj_sign;
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld1q(pSrc);
+ vst1q(pDst,vmulq(vecSrc, vecSign));
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x3) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t zero;
+ float32x4x2_t vec;
+
+ zero = vdupq_n_f32(0.0f);
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0]+jC[1] = A[0]+(-1)*jA[1] */
+ /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+ vec = vld2q_f32(pSrc);
+ vec.val[1] = vsubq_f32(zero,vec.val[1]);
+ vst2q_f32(pDst,vec);
+
+ /* Increment pointers */
+ pSrc += 8;
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined (ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..fb350a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,207 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q15.c
+ * Description: Q15 complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q15 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in1;
+
+ q15x8x2_t vecSrc;
+ q15x8_t zero;
+
+ zero = vdupq_n_s16(0);
+
+ /* Compute 8 real samples at a time */
+ blkCnt = blockSize >> 4U;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0xF) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = __SSAT(-in1, 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in1; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t in2, in3, in4; /* Temporary input variables */
+#endif
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+
+#if defined (ARM_MATH_DSP)
+ in1 = read_q15x2_ia (&pSrc);
+ in2 = read_q15x2_ia (&pSrc);
+ in3 = read_q15x2_ia (&pSrc);
+ in4 = read_q15x2_ia (&pSrc);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ in1 = __QASX(0, in1);
+ in2 = __QASX(0, in2);
+ in3 = __QASX(0, in3);
+ in4 = __QASX(0, in4);
+#else
+ in1 = __QSAX(0, in1);
+ in2 = __QSAX(0, in2);
+ in3 = __QSAX(0, in3);
+ in4 = __QSAX(0, in4);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+ in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+ in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+ in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+ write_q15x2_ia (&pDst, in1);
+ write_q15x2_ia (&pDst, in2);
+ write_q15x2_ia (&pDst, in3);
+ write_q15x2_ia (&pDst, in4);
+#else
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __SSAT(-in1, 16);
+#else
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..ec1b5b7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,193 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q31.c
+ * Description: Q31 complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q31 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31x4x2_t vecSrc;
+ q31_t in; /* Temporary input variable */
+ q31x4_t zero;
+
+ zero = vdupq_n_s32(0);
+
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+ *pDst++ = __QSUB(0, in);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+
+}
+#else
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c
new file mode 100644
index 0000000..ff45a9f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c
@@ -0,0 +1,288 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f16.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The <code>pSrcA</code> points to the first complex input vector and
+ <code>pSrcB</code> points to the second complex input vector.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_dot_prod_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ uint32_t numSamples,
+ float16_t * realResult,
+ float16_t * imagResult)
+{
+ int32_t blkCnt;
+ float16_t real_sum, imag_sum;
+ f16x8_t vecSrcA, vecSrcB;
+ f16x8_t vec_acc = vdupq_n_f16(0.0f16);
+ f16x8_t vecSrcC, vecSrcD;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q( pSrcA);
+ vecSrcB = vld1q( pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 8;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f16(0.0f16);
+
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ while (blkCnt > 0);
+ }
+
+ /* Sum the partial parts */
+ mve_cmplx_sum_intra_r_i_f16(vec_acc, real_sum, imag_sum);
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+void arm_cmplx_dot_prod_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ uint32_t numSamples,
+ float16_t * realResult,
+ float16_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ _Float16 a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..af60d32
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,340 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f32.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The <code>pSrcA</code> points to the first complex input vector and
+ <code>pSrcB</code> points to the second complex input vector.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ int32_t blkCnt;
+ float32_t real_sum, imag_sum;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vec_acc = vdupq_n_f32(0.0f);
+ f32x4_t vecSrcC, vecSrcD;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+ pSrcA += 4;
+ pSrcB += 4;
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ blkCnt -= 4;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f32(0.0f);
+
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+ }
+
+ real_sum = vgetq_lane(vec_acc, 0) + vgetq_lane(vec_acc, 2);
+ imag_sum = vgetq_lane(vec_acc, 1) + vgetq_lane(vec_acc, 3);
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vec1,vec2,vec3,vec4;
+ float32x4_t accR,accI;
+ float32x2_t accum = vdup_n_f32(0);
+
+ accR = vdupq_n_f32(0.0f);
+ accI = vdupq_n_f32(0.0f);
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */
+ /* Calculate dot product and then store the result in a temporary buffer. */
+
+ vec1 = vld2q_f32(pSrcA);
+ vec2 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+ accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+ accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+ vec3 = vld2q_f32(pSrcA);
+ vec4 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+ accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+ accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+ real_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+ imag_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* Tail */
+ blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..1910d8a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,256 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q15.c
+ * Description: Processing function for the Q15 Complex Dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q15 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned her
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+ These are accumulated in a 64-bit accumulator with 34.30 precision.
+ As a final step, the accumulators are converted to 8.24 format.
+ The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ int32_t blkCnt;
+ q63_t accReal = 0LL;
+ q63_t accImag = 0LL;
+ q15x8_t vecSrcA, vecSrcB;
+ q15x8_t vecSrcC, vecSrcD;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+
+ accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+
+ accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ accReal = vmlsldavaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vmlaldavaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 8;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ accReal = vmlsldavaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vmlaldavaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ }
+ *realResult = asrl(accReal, (14 - 8));
+ *imagResult = asrl(accImag, (14 - 8));
+}
+#else
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 8.24 format */
+ /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+ *realResult = (q31_t) (real_sum >> 6);
+ /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+ *imagResult = (q31_t) (imag_sum >> 6);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..fac85bd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,259 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q31.c
+ * Description: Q31 complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q31 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+ The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+ Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768.
+ The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ int32_t blkCnt;
+ q63_t accReal = 0LL;
+ q63_t accImag = 0LL;
+ q31x4_t vecSrcA, vecSrcB;
+ q31x4_t vecSrcC, vecSrcD;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+
+ accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ accReal = vrmlsldavhaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ accReal = vrmlsldavhaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ accReal = vrmlsldavhaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vrmlaldavhaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 4;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ accReal = vrmlsldavhaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vrmlaldavhaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ }
+ *realResult = asrl(accReal, (14 - 8));
+ *imagResult = asrl(accImag, (14 - 8));
+
+}
+
+#else
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 16.48 format */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c
new file mode 100644
index 0000000..1f93598
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c
@@ -0,0 +1,241 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f16.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_cmplx_mag_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f16x8x2_t vecSrc;
+ f16x8_t sum;
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ q15x8_t newtonStartVec;
+ f16x8_t sumHalf, invSqrt;
+
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s16(INVSQRT_MAGIC_F16) - vshrq((q15x8_t) sum, 1);
+ sumHalf = sum * 0.5f;
+ /*
+ * compute 3 x iterations
+ *
+ * The more iterations, the more accuracy.
+ * If you need to trade a bit of accuracy for more performance,
+ * you can comment out the 3rd use of the macro.
+ */
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, (f16x8_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, (float16_t)0.0f, vcmpltq(invSqrt, (float16_t)0.0f));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vstrhq_f16(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ q15x8_t newtonStartVec;
+ f16x8_t sumHalf, invSqrt;
+
+ vecSrc = vld2q((float16_t const *)pSrc);
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s16(INVSQRT_MAGIC_F16) - vshrq((q15x8_t) sum, 1);
+ sumHalf = vmulq(sum, (float16_t)0.5);
+ /*
+ * compute 2 x iterations
+ */
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, (f16x8_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, (float16_t)0.0, vcmpltq(invSqrt, (float16_t)0.0));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vstrhq_p_f16(pDst, sum, p0);
+ }
+}
+
+#else
+void arm_cmplx_mag_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ _Float16 real, imag; /* Temporary variables to hold input values */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..aac6fba
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,273 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f32.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_vec_math.h"
+#endif
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t newtonStartVec;
+ f32x4_t sumHalf, invSqrt;
+
+ vecSrc = vld2q(pSrc);
+ pSrc += 8;
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s32(INVSQRT_MAGIC_F32) - vshrq((q31x4_t) sum, 1);
+ sumHalf = sum * 0.5f;
+ /*
+ * compute 3 x iterations
+ *
+ * The more iterations, the more accuracy.
+ * If you need to trade a bit of accuracy for more performance,
+ * you can comment out the 3rd use of the macro.
+ */
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, (f32x4_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, 0.0f, vcmpltq(invSqrt, 0.0f));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vst1q(pDst, sum);
+ pDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA));
+ pDst += 4;
+
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB));
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c
new file mode 100644
index 0000000..c2bcd56
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c
@@ -0,0 +1,100 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f64.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+void arm_cmplx_mag_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float64_t real, imag; /* Temporary variables to hold input values */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = sqrt((real * real) + (imag * imag));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c
new file mode 100644
index 0000000..eac2a14
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c
@@ -0,0 +1,223 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_fast_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ Fast functions are less accurate. This function will tend to clamp to 0
+ the too small values. So sqrt(x*x) = x will not always be true.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_fast_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q15x8x2_t vecSrc;
+ q15x8_t sum;
+ q31_t in;
+ q31_t acc0;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ sum = FAST_VSQRT_Q15(sum);
+
+ vst1q(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_fast_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..10ce335
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,268 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+
+/* Sqrt q31 is used otherwise accuracy is not good enough
+ for small values and for some applications it is
+ an issue.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q15x8x2_t vecSrc;
+ q31x4_t prod0;
+ q31x4_t prod1;
+
+ q31_t in;
+ q31_t acc0;
+ q31x4_t acc0V;
+ q31x4_t acc1V;
+
+ q31_t res;
+ q15x8_t resV;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+
+ acc0V = vdupq_n_s32(0);
+ acc1V = vdupq_n_s32(0);
+
+ prod0 = vmullbq_int_s16(vecSrc.val[0], vecSrc.val[0]);
+ acc0V = vqaddq_s32(acc0V,prod0);
+
+ prod0 = vmullbq_int_s16(vecSrc.val[1], vecSrc.val[1]);
+ acc0V = vqaddq_s32(acc0V,prod0);
+
+
+ prod1 = vmulltq_int_s16(vecSrc.val[0], vecSrc.val[0]);
+ acc1V = vqaddq_s32(acc1V,prod1);
+
+ prod1 = vmulltq_int_s16(vecSrc.val[1], vecSrc.val[1]);
+ acc1V = vqaddq_s32(acc1V,prod1);
+
+
+
+ acc0V = vshrq(acc0V, 1);
+ acc1V = vshrq(acc1V, 1);
+
+ acc0V = FAST_VSQRT_Q31(acc0V);
+ acc1V = FAST_VSQRT_Q31(acc1V);
+
+ resV = vdupq_n_s16(0);
+ resV = vqshrnbq_n_s32(resV,acc0V,16);
+ resV = vqshrntq_n_s32(resV,acc1V,16);
+
+ vst1q(pDst, resV);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ q31_t res; /* temporary result */
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
+ *pDst++ = res >> 16;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
+ *pDst++ = res >> 16;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q31(acc0 >> 1 , &res);
+ *pDst++ = res >> 16;
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q31((acc0 + acc1) >> 1 , &res);
+ *pDst++ = res >> 16;
+
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..57a72f5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,201 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q31.c
+ * Description: Q31 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+
+ q31x4x2_t vecSrc;
+ q31x4_t sum;
+
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ /*
+
+ This function is using a table. There are compilations flags to avoid
+ including this table (and in this case, arm_cmplx_maq_q31 must not
+ be built and linked.)
+
+ */
+ sum = FAST_VSQRT_Q31(sum);
+
+ vst1q(pDst, sum);
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ pSrc += 8;
+ pDst += 4;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c
new file mode 100644
index 0000000..df3cbec
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c
@@ -0,0 +1,174 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f16.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ f16x8x2_t vecSrc;
+ f16x8_t sum;
+
+ /* Compute 4 complex samples at a time */
+ while (blockSize > 0)
+ {
+ mve_pred16_t p = vctp16q(blockSize);
+ vecSrc = vld2q(pSrc);
+ sum = vmulq_m(vuninitializedq_f16(),vecSrc.val[0], vecSrc.val[0],p);
+ sum = vfmaq_m(sum, vecSrc.val[1], vecSrc.val[1],p);
+ vstrhq_p_f16(pDst, sum,p);
+
+ pSrc += 16;
+ pDst += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blockSize-= 8;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 real, imag; /* Temporary input variables */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..861585f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,235 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f32.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The <code>pSrc</code> points to the source data and
+ <code>pDst</code> points to the where the result should be written.
+ <code>numSamples</code> specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of <code>2*numSamples</code> values;
+ the output array has a total of <code>numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary input variables */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+ vst1q(pDst, sum);
+
+ pSrc += 8;
+ pDst += 4;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real, imag; /* Temporary input variables */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, vMagSqA);
+ pDst += 4;
+
+ vst1q_f32(pDst, vMagSqB);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c
new file mode 100644
index 0000000..fde0321
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c
@@ -0,0 +1,76 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f64.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+void arm_cmplx_mag_squared_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float64_t real, imag; /* Temporary input variables */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..727699e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q15.c
+ * Description: Q15 complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+ q15x8x2_t vecSrc;
+ q15x8_t vReal, vImag;
+ q15x8_t vMagSq;
+
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 16;
+ pDst += 8;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..4ccde36
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q31.c
+ * Description: Q31 complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31x4x2_t vecSrc;
+ q31x4_t vReal, vImag;
+ q31x4_t vMagSq;
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 8;
+ pDst += 4;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ /* store the result in 3.29 format in the destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c
new file mode 100644
index 0000000..68e1d1b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c
@@ -0,0 +1,271 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f16.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ f16x8_t vecSrcA, vecSrcB;
+ f16x8_t vecSrcC, vecSrcD;
+ f16x8_t vec_acc;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+ vec_acc = vcmulq_m(vuninitializedq_f16(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ vstrhq_p_f16(pDst, vec_acc, p);
+ pDst += 8;
+
+ blkCnt -= 8;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+
+ vec_acc = vcmulq_m(vuninitializedq_f16(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ vstrhq_p_f16(pDst, vec_acc, p);
+ pDst += 8;
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ while (blkCnt > 0);
+ }
+
+}
+
+
+#else
+void arm_cmplx_mult_cmplx_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..5d2c66c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,305 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f32.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vecSrcC, vecSrcD;
+ f32x4_t vec_acc;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+ vec_acc = vcmulq_m(vuninitializedq_f32(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ vstrwq_p_f32(pDst, vec_acc, p);
+ pDst += 4;
+
+ blkCnt -= 4;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f32(0.0f);
+
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+
+ vec_acc = vcmulq_m(vuninitializedq_f32(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ vstrwq_p_f32(pDst, vec_acc, p);
+ pDst += 4;
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+ }
+
+}
+
+#else
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t va, vb;
+ float32x4x2_t outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ va = vld2q_f32(pSrcA); // load & separate real/imag pSrcA (de-interleave 2)
+ vb = vld2q_f32(pSrcB); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]);
+ outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]);
+ outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]);
+
+ vst2q_f32(pDst, outCplx);
+
+ /* Increment pointer */
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c
new file mode 100644
index 0000000..75a044c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c
@@ -0,0 +1,83 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f64.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mult_cmplx_f64(
+ const float64_t * pSrcA,
+ const float64_t * pSrcB,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float64_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..53fbe58
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,258 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q15.c
+ * Description: Q15 complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ q15x8_t vecSrcA, vecSrcB;
+ q15x8_t vecSrcC, vecSrcD;
+ q15x8_t vecDst;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0)
+ {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0)
+ {
+
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcC, vecSrcD);
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ do
+ {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s16(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s16(), vecDst, 2, p);
+ vstrhq_p_s16(pDst, vecDst, p);
+ pDst += 8;
+
+ blkCnt -= 8;
+ }
+ while ((int32_t) blkCnt > 0);
+ }
+ else
+ {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s16(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s16(), vecDst, 2, p);
+ vstrhq_p_s16(pDst, vecDst, p);
+
+ pDst += 8;
+ pSrcA += 8;
+ pSrcB += 8;
+
+ blkCnt -= 8;
+ }
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..7f94561
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,253 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q31.c
+ * Description: Q31 complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ q31x4_t vecSrcA, vecSrcB;
+ q31x4_t vecSrcC, vecSrcD;
+ q31x4_t vecDst;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcC, vecSrcD);
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s32(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s32(), vecDst, 2, p);
+ vstrwq_p_s32(pDst, vecDst, p);
+ pDst += 4;
+
+ blkCnt -= 4;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s32(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s32(), vecDst, 2, p);
+ vstrwq_p_s32(pDst, vecDst, p);
+
+ pDst += 4;
+ pSrcA += 4;
+ pSrcB += 4;
+
+ blkCnt -= 4;
+ }
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c
new file mode 100644
index 0000000..f5909fc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c
@@ -0,0 +1,194 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f16.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values while the real array has a total of <code>numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_f16(
+ const float16_t * pSrcCmplx,
+ const float16_t * pSrcReal,
+ float16_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint16_t stride_cmplx_x_real_16[8] = {
+ 0, 0, 1, 1, 2, 2, 3, 3
+ };
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f16x8_t rVec;
+ f16x8_t cmplxVec;
+ f16x8_t dstVec;
+ uint16x8_t strideVec;
+
+
+ /* stride vector for pairs of real generation */
+ strideVec = vld1q(stride_cmplx_x_real_16);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 3;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_f16(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 4;
+ pSrcCmplx += 8;
+ pCmplxDst += 8;
+ blkCnt--;
+ }
+
+ blkCnt = blockSizeC & 7;
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_f16(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vstrhq_p_f16(pCmplxDst, dstVec, p0);
+ }
+}
+
+#else
+void arm_cmplx_mult_real_f16(
+ const float16_t * pSrcCmplx,
+ const float16_t * pSrcReal,
+ float16_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float16_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+ *pCmplxDst++ = (_Float16)*pSrcCmplx++ * (_Float16)in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..bc0f59b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,224 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f32.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter <code>numSamples</code> represents the number of complex
+ samples processed. The complex arrays have a total of <code>2*numSamples</code>
+ real values while the real array has a total of <code>numSamples</code>
+ real values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+ </pre>
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint32_t stride_cmplx_x_real_32[4] = { 0, 0, 1, 1 };
+
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t rVec;
+ f32x4_t cmplxVec;
+ f32x4_t dstVec;
+ uint32x4_t strideVec;
+ float32_t in;
+
+
+ /* stride vector for pairs of real generation */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_f32(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt--;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t in; /* Temporary variable */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t r;
+ float32x4x2_t ab,outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ ab = vld2q_f32(pSrcCmplx); // load & separate real/imag pSrcA (de-interleave 2)
+ r = vld1q_f32(pSrcReal); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcCmplx += 8;
+ pSrcReal += 4;
+
+ outCplx.val[0] = vmulq_f32(ab.val[0], r);
+ outCplx.val[1] = vmulq_f32(ab.val[1], r);
+
+ vst2q_f32(pCmplxDst, outCplx);
+ pCmplxDst += 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++* in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..84e5ae3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,238 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q15.c
+ * Description: Q15 complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint16_t stride_cmplx_x_real_16[8] = {
+ 0, 0, 1, 1, 2, 2, 3, 3
+ };
+ q15x8_t rVec;
+ q15x8_t cmplxVec;
+ q15x8_t dstVec;
+ uint16x8_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q15_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_16);
+
+ blkCnt = blockSizeC >> 3;
+
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_s16(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 4;
+ pSrcCmplx += 8;
+ pCmplxDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSizeC & 7) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2; /* Temporary variables to hold input data */
+ q31_t inB1; /* Temporary variables to hold input data */
+ q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */
+ q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 complex numbers both real and imaginary from complex input buffer */
+ inA1 = read_q15x2_ia (&pSrcCmplx);
+ inA2 = read_q15x2_ia (&pSrcCmplx);
+ /* read 2 real values at a time from real input buffer */
+ inB1 = read_q15x2_ia (&pSrcReal);
+
+ /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* saturate the result */
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ /* pack real and imaginary outputs and store them to destination */
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+
+ inA1 = read_q15x2_ia (&pSrcCmplx);
+ inA2 = read_q15x2_ia (&pSrcCmplx);
+ inB1 = read_q15x2_ia (&pSrcReal);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+#else
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..de13757
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q31.c
+ * Description: Q31 complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+
+ static const uint32_t stride_cmplx_x_real_32[4] = {
+ 0, 0, 1, 1
+ };
+ q31x4_t rVec;
+ q31x4_t cmplxVec;
+ q31x4_t dstVec;
+ uint32x4_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_s32(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt --;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */