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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_fast_q31.c
+ * Description: Processing function for the Q31 Fast FIR filter
+ *
+ * $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 groupFilters
+ */
+
+/**
+ * @addtogroup FIR
+ * @{
+ */
+
+/**
+ * @param[in] *S points to an instance of the Q31 structure.
+ * @param[in] *pSrc points to the block of input data.
+ * @param[out] *pDst points to the block output data.
+ * @param[in] blockSize number of samples to process per call.
+ * @return none.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ *
+ * \par
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ * These intermediate results are added to a 2.30 accumulator.
+ * Finally, the accumulator is saturated and converted to a 1.31 result.
+ * 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.
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+ *
+ * \par
+ * Refer to the function <code>arm_fir_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure.
+ * Use the function <code>arm_fir_init_q31()</code> to initialize the filter structure.
+ */
+
+IAR_ONLY_LOW_OPTIMIZATION_ENTER
+void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t x0, x1, x2, x3; /* Temporary variables to hold state */
+ q31_t c0; /* Temporary variable to hold coefficient value */
+ q31_t *px; /* Temporary pointer for state */
+ q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+ /* 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)]);
+
+ /* Apply loop unrolling and compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2;
+
+ /* 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)
+ {
+ /* Copy four new input samples into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first three samples from the state buffer:
+ * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *(px++);
+ x1 = *(px++);
+ x2 = *(px++);
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+ i = tapCnt;
+
+ while (i > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-3] sample */
+ x3 = *px;
+
+ /* acc0 += b[numTaps] * x[n-numTaps] */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+
+ /* acc1 += b[numTaps] * x[n-numTaps-1] */
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+
+ /* acc2 += b[numTaps] * x[n-numTaps-2] */
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+
+ /* acc3 += b[numTaps] * x[n-numTaps-3] */
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb + 1U);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x1, c0);
+ multAcc_32x32_keep32_R(acc1, x2, c0);
+ multAcc_32x32_keep32_R(acc2, x3, c0);
+ multAcc_32x32_keep32_R(acc3, x0, c0);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb + 2U);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x2, c0);
+ multAcc_32x32_keep32_R(acc1, x3, c0);
+ multAcc_32x32_keep32_R(acc2, x0, c0);
+ multAcc_32x32_keep32_R(acc3, x1, c0);
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *(pb + 3U);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px + 3U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x3, c0);
+ multAcc_32x32_keep32_R(acc1, x0, c0);
+ multAcc_32x32_keep32_R(acc2, x1, c0);
+ multAcc_32x32_keep32_R(acc3, x2, c0);
+
+ /* update coefficient pointer */
+ pb += 4U;
+ px += 4U;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+
+ i = numTaps - (tapCnt * 4U);
+ while (i > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4;
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31
+ ** Then store the 4 outputs in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+ *pDst++ = (q31_t) (acc1 << 1);
+ *pDst++ = (q31_t) (acc2 << 1);
+ *pDst++ = (q31_t) (acc3 << 1);
+
+ /* Decrement the samples loop counter */
+ blkCnt--;
+ }
+
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize % 4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = (pCoeffs);
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ multAcc_32x32_keep32_R(acc0, (*px++), (*(pb++)));
+ i--;
+ } while (i > 0U);
+
+ /* The result is in 2.30 format. Convert to 1.31
+ ** Then store the output in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement the samples 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 state buffer */
+ pStateCurnt = S->pState;
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U);
+
+ /* Copy the remaining q31_t data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+
+}
+IAR_ONLY_LOW_OPTIMIZATION_EXIT
+/**
+ * @} end of FIR group
+ */