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diff --git a/fw/midi-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/fw/midi-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
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+++ b/fw/midi-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q31.c
+ * Description: Q31 complex-by-complex multiplication
+ *
+ * $Date: 27. January 2017
+ * $Revision: V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 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_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByCmplxMult
+ * @{
+ */
+
+
+/**
+ * @brief Q31 complex-by-complex multiplication
+ * @param[in] *pSrcA points to the first input vector
+ * @param[in] *pSrcB points to the second input vector
+ * @param[out] *pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \par
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ q31_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+ uint32_t blkCnt; /* loop counters */
+ q31_t mul1, mul2, mul3, mul4;
+ q31_t out1, out2;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+ /* loop Unrolling */
+ blkCnt = numSamples >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ 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++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4U;
+
+ 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++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+#else
+
+ /* Run the below code for Cortex-M0 */
+
+ /* loop Unrolling */
+ blkCnt = numSamples >> 1U;
+
+ /* First part of the processing with loop unrolling. Compute 2 outputs at a time.
+ ** a second loop below computes the remaining 1 sample. */
+ 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++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x2U;
+
+ 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++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of CmplxByCmplxMult group
+ */
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