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+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date: 12. March 2014
+* $Revision: V1.4.4
+*
+* Project: CMSIS DSP Library
+* Title: arm_lms_q31.c
+*
+* Description: Processing function for the Q31 LMS filter.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+/**
+ * @ingroup groupFilters
+ */
+
+/**
+ * @addtogroup LMS
+ * @{
+ */
+
+ /**
+ * @brief Processing function for Q31 LMS filter.
+ * @param[in] *S points to an instance of the Q15 LMS filter structure.
+ * @param[in] *pSrc points to the block of input data.
+ * @param[in] *pRef points to the block of reference data.
+ * @param[out] *pOut points to the block of output data.
+ * @param[out] *pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ * @return none.
+ *
+ * \par Scaling and Overflow Behavior:
+ * The function is implemented using an internal 64-bit accumulator.
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate
+ * multiplication results but provides only a single guard bit.
+ * Thus, if the accumulator result overflows it wraps around rather than clips.
+ * In order to avoid overflows completely the input signal must be scaled down by
+ * log2(numTaps) bits.
+ * The reference signal should not be scaled down.
+ * After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+ * and saturated to 1.31 format to yield the final result.
+ * The output signal and error signal are in 1.31 format.
+ *
+ * \par
+ * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t mu = S->mu; /* Adaptive factor */
+ q31_t *px; /* Temporary pointer for state */
+ q31_t *pb; /* Temporary pointer for coefficient buffer */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q31_t e = 0; /* error of data sample */
+ q31_t alpha; /* Intermediate constant for taps update */
+ q31_t coef; /* Temporary variable for coef */
+ q31_t acc_l, acc_h; /* temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1u);
+ uint32_t lShift = 32u - uShift; /* Shift to be applied to the output */
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+ /* Initializing blkCnt with blockSize */
+ blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+ /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+ while(blkCnt > 0u)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ while(tapCnt > 0u)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-1] * x[n-N-1] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-2] * x[n-N-2] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-3] * x[n-N-3] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4u;
+
+ while(tapCnt > 0u)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+
+ *pErr++ = (q31_t) e;
+
+ /* Compute alpha i.e. intermediate constant for taps update */
+ alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Initialize state pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Update filter coefficients */
+ while(tapCnt > 0u)
+ {
+ /* coef is in 2.30 format */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ /* get coef in 1.31 format by left shifting */
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ /* update coefficient buffer to next coefficient */
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4u;
+
+ while(tapCnt > 0u)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ satrt of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Loop unrolling for (numTaps - 1u) samples copy */
+ tapCnt = (numTaps - 1u) >> 2u;
+
+ /* copy data */
+ while(tapCnt > 0u)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1u) % 0x4u;
+
+ /* Copy the remaining q31_t data */
+ while(tapCnt > 0u)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+#else
+
+ /* Run the below code for Cortex-M0 */
+
+ while(blkCnt > 0u)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize pCoeffs pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+ /* Loop over numTaps number of values */
+ tapCnt = numTaps;
+
+ while(tapCnt > 0u)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Store the result from accumulator into the destination buffer. */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+
+ *pErr++ = (q31_t) e;
+
+ /* Weighting factor for the LMS version */
+ alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize pCoeffs pointer */
+ pb = pCoeffs;
+
+ /* Loop over numTaps number of values */
+ tapCnt = numTaps;
+
+ while(tapCnt > 0u)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ start of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Copy (numTaps - 1u) samples */
+ tapCnt = (numTaps - 1u);
+
+ /* Copy the data */
+ while(tapCnt > 0u)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**
+ * @} end of LMS group
+ */