297 lines
11 KiB
C
297 lines
11 KiB
C
/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_biquad_cascade_df1_fast_q31.c
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* Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter
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*
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* $Date: 18. March 2019
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* $Revision: V1.6.0
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*
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* Target Processor: Cortex-M cores
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* -------------------------------------------------------------------- */
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/*
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* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the License); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an AS IS BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include "arm_math.h"
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/**
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@ingroup groupFilters
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*/
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/**
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@addtogroup BiquadCascadeDF1
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@{
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*/
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/**
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@brief Processing function for the Q31 Biquad cascade filter (fast variant).
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@param[in] S points to an instance of the Q31 Biquad cascade structure
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@param[in] pSrc points to the block of input data
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@param[out] pDst points to the block of output data
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@param[in] blockSize number of samples to process per call
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@return none
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@par Scaling and Overflow Behavior
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This function is optimized for speed at the expense of fixed-point precision and overflow protection.
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The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
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These intermediate results are added to a 2.30 accumulator.
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Finally, the accumulator is saturated and converted to a 1.31 result.
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The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
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In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function
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arm_biquad_cascade_df1_init_q31() to initialize filter structure.
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@remark
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Refer to \ref arm_biquad_cascade_df1_q31() for a slower implementation of this function
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which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure.
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Use the function \ref arm_biquad_cascade_df1_init_q31() to initialize the filter structure.
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*/
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void arm_biquad_cascade_df1_fast_q31(
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const arm_biquad_casd_df1_inst_q31 * S,
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const q31_t * pSrc,
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q31_t * pDst,
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uint32_t blockSize)
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{
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const q31_t *pIn = pSrc; /* Source pointer */
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q31_t *pOut = pDst; /* Destination pointer */
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q31_t *pState = S->pState; /* pState pointer */
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const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
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q31_t acc = 0; /* Accumulator */
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q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
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q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
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q31_t Xn; /* Temporary input */
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int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
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uint32_t sample, stage = S->numStages; /* Loop counters */
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do
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{
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/* Reading the coefficients */
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b0 = *pCoeffs++;
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b1 = *pCoeffs++;
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b2 = *pCoeffs++;
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a1 = *pCoeffs++;
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a2 = *pCoeffs++;
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/* Reading the pState values */
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Xn1 = pState[0];
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Xn2 = pState[1];
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Yn1 = pState[2];
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Yn2 = pState[3];
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#if defined (ARM_MATH_LOOPUNROLL)
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/* Apply loop unrolling and compute 4 output values simultaneously. */
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/* Variables acc ... acc3 hold output values that are being computed:
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*
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* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
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*/
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/* Loop unrolling: Compute 4 outputs at a time */
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sample = blockSize >> 2U;
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while (sample > 0U)
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{
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/* Read the input */
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Xn = *pIn;
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/* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
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/* acc = b0 * x[n] */
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/* acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
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mult_32x32_keep32_R(acc, b1, Xn1);
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/* acc += b1 * x[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b0, Xn);
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/* acc += b[2] * x[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b2, Xn2);
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/* acc += a1 * y[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a1, Yn1);
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/* acc += a2 * y[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a2, Yn2);
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/* The result is converted to 1.31 , Yn2 variable is reused */
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Yn2 = acc << shift;
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/* Read the second input */
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Xn2 = *(pIn + 1U);
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/* Store the output in the destination buffer. */
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*pOut = Yn2;
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/* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
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/* acc = b0 * x[n] */
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/* acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
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mult_32x32_keep32_R(acc, b0, Xn2);
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/* acc += b1 * x[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b1, Xn);
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/* acc += b[2] * x[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b2, Xn1);
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/* acc += a1 * y[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a1, Yn2);
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/* acc += a2 * y[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a2, Yn1);
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/* The result is converted to 1.31, Yn1 variable is reused */
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Yn1 = acc << shift;
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/* Read the third input */
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Xn1 = *(pIn + 2U);
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/* Store the output in the destination buffer. */
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*(pOut + 1U) = Yn1;
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/* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
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/* acc = b0 * x[n] */
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/* acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
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mult_32x32_keep32_R(acc, b0, Xn1);
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/* acc += b1 * x[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b1, Xn2);
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/* acc += b[2] * x[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b2, Xn);
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/* acc += a1 * y[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a1, Yn1);
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/* acc += a2 * y[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a2, Yn2);
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/* The result is converted to 1.31, Yn2 variable is reused */
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Yn2 = acc << shift;
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/* Read the forth input */
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Xn = *(pIn + 3U);
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/* Store the output in the destination buffer. */
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*(pOut + 2U) = Yn2;
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pIn += 4U;
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/* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
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/* acc = b0 * x[n] */
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/* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
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mult_32x32_keep32_R(acc, b0, Xn);
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/* acc += b1 * x[n-1] */
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/*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b1, Xn1);
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/* acc += b[2] * x[n-2] */
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/*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b2, Xn2);
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/* acc += a1 * y[n-1] */
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/*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a1, Yn2);
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/* acc += a2 * y[n-2] */
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/*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a2, Yn1);
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/* Every time after the output is computed state should be updated. */
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/* The states should be updated as: */
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/* Xn2 = Xn1 */
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Xn2 = Xn1;
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/* The result is converted to 1.31, Yn1 variable is reused */
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Yn1 = acc << shift;
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/* Xn1 = Xn */
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Xn1 = Xn;
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/* Store the output in the destination buffer. */
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*(pOut + 3U) = Yn1;
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pOut += 4U;
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/* decrement loop counter */
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sample--;
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}
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/* Loop unrolling: Compute remaining outputs */
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sample = (blockSize & 0x3U);
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#else
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/* Initialize blkCnt with number of samples */
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sample = blockSize;
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#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
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while (sample > 0U)
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{
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/* Read the input */
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Xn = *pIn++;
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/* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
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/* acc = b0 * x[n] */
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/* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
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mult_32x32_keep32_R(acc, b0, Xn);
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/* acc += b1 * x[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b1, Xn1);
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/* acc += b[2] * x[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, b2, Xn2);
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/* acc += a1 * y[n-1] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a1, Yn1);
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/* acc += a2 * y[n-2] */
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/* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
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multAcc_32x32_keep32_R(acc, a2, Yn2);
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/* The result is converted to 1.31 */
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acc = acc << shift;
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/* Every time after the output is computed state should be updated. */
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/* The states should be updated as: */
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/* Xn2 = Xn1 */
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/* Xn1 = Xn */
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/* Yn2 = Yn1 */
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/* Yn1 = acc */
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Xn2 = Xn1;
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Xn1 = Xn;
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Yn2 = Yn1;
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Yn1 = acc;
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/* Store the output in the destination buffer. */
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*pOut++ = acc;
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/* decrement loop counter */
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sample--;
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}
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/* The first stage goes from the input buffer to the output buffer. */
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/* Subsequent stages occur in-place in the output buffer */
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pIn = pDst;
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/* Reset to destination pointer */
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pOut = pDst;
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/* Store the updated state variables back into the pState array */
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*pState++ = Xn1;
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*pState++ = Xn2;
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*pState++ = Yn1;
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*pState++ = Yn2;
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} while (--stage);
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}
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/**
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@} end of BiquadCascadeDF1 group
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*/
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