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/github/workspace/src/TransformFunctions/kernels/plp_dwt_q32p_xpulpv2.c

Functions

Name
void plp_dwt_q32p_xpulpv2(void * args)
Q31 fixed-point DWT on real input data for XPULPV2 extension.
void plp_dwt_haar_q32p_xpulpv2(void * args)
Q31 Fixed-point DWT kernel optimized for Haar Wavelet for XPULPV2 extension.
void plp_dwt_haar_u_q32p_xpulpv2(void * args)
Q31 Fixed-point DWT kernel optimized for Un-normalized Haar Wavelet for XPULPV2 extension.

Defines

Name
HAAR_COEF
MAC_SHIFT
MAC(Acc, A, B)
MSU(Acc, A, B)
FILT_STEP
HAAR_COEF
MAC_SHIFT

Functions Documentation

function plp_dwt_q32p_xpulpv2

void plp_dwt_q32p_xpulpv2(
    void * args
)

Q31 fixed-point DWT on real input data for XPULPV2 extension.

Parameters:

Return: none

function plp_dwt_haar_q32p_xpulpv2

void plp_dwt_haar_q32p_xpulpv2(
    void * args
)

Q31 Fixed-point DWT kernel optimized for Haar Wavelet for XPULPV2 extension.

Parameters:

Return: none

function plp_dwt_haar_u_q32p_xpulpv2

void plp_dwt_haar_u_q32p_xpulpv2(
    void * args
)

Q31 Fixed-point DWT kernel optimized for Un-normalized Haar Wavelet for XPULPV2 extension.

Parameters:

Return: none

Macros Documentation

define HAAR_COEF

#define HAAR_COEF ((int64_t) 0x5a82799a)

define MAC_SHIFT

#define MAC_SHIFT 31U

define MAC

#define MAC(
    Acc,
    A,
    B
)
Acc += ((int64_t)((int64_t) A * (int64_t) B));

define MSU

#define MSU(
    Acc,
    A,
    B
)
Acc -= ((int64_t)((int64_t) A * (int64_t) B));

define FILT_STEP

#define FILT_STEP 2U

define HAAR_COEF

#define HAAR_COEF ((int64_t) 0x5a82799a)

define MAC_SHIFT

#define MAC_SHIFT 31U

Source code

/* ----------------------------------------------------------------------
 * Project:      PULP DSP Library
 * Title:        plp_dwt_q32p_xpulpv2.c
 * Description:  32bit Fixed-point Discret Wavelet Transform on real input data for XPULPV2
 *
 * $Date:        10. Juli 2021
 * $Revision:    V1
 *
 * Target Processor: PULP cores with "F" support (wolfe)
 * -------------------------------------------------------------------- */
/*
 * Copyright (C) 2021 ETH Zurich and University of Bologna. All rights reserved.
 *
 * Author: Jakub Mandula, ETH Zurich
 *
 * 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 "plp_math.h"
#include "plp_const_structs.h"
/* HELPER FUNCTIONS */

#define HAAR_COEF ((int64_t) 0x5a82799a)


#define MAC_SHIFT 31U
#define MAC(Acc, A, B) Acc += ((int64_t)((int64_t) A * (int64_t) B));
#define MSU(Acc, A, B) Acc -= ((int64_t)((int64_t) A * (int64_t) B));

#define FILT_STEP 2U

#include "plp_dwt_signal_ext.h"

void plp_dwt_q32p_xpulpv2(void *args) {
    plp_dwt_instance_q32 *S = (plp_dwt_instance_q32*) args;

    const int32_t *pSrc = S->pSrc;
    const uint32_t length = S->length;
    const plp_dwt_wavelet_q32 wavelet = S->wavelet;
    plp_dwt_extension_mode mode = S->mode;

    const uint32_t nPE = S->nPE;

    const uint32_t core_id = hal_core_id();

    int32_t *pCurrentA = S->pDstA + core_id;
    int32_t *pCurrentD = S->pDstD + core_id;


    int32_t offset = 1 + FILT_STEP * core_id;

    const uint32_t step = FILT_STEP * nPE;


    /***
     * The filter convolution is done in 4 steps handling cases where
     *  1. Filter is hanging over the left side of the signal
     *  2. Filter is same size, or totally enclosed in signal
     *  3. Filter is larger than the enclosed signal and hangs over both edges
     *  4. Filter hangs over the right side of the signal
     * 
     *  Each of the cases, where signal hangs over the boundary of the signal, values are computed 
     *  on demand based on the edge extension mode.
     */


    /*  Step 1.
     *  Handle Left overhanging
     *
     * X() =  x x[A B C D E F]
     * H() = [d c b a]
     *          ^   ^
     *          |   First compute the filter part overlapping with the signal
     *          Then extend the signal (x x) by computing the values based on the extension mode
     */
    for(; offset < wavelet.length - 1 && offset < length; offset += step){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;

        uint32_t filt_j = 0;

        // Compute Filter overlapping with signal
        for(; filt_j <= offset; filt_j++){
            MAC(sum_lo, wavelet.dec_lo[filt_j], pSrc[offset - filt_j]);
            MAC(sum_hi, wavelet.dec_hi[filt_j], pSrc[offset - filt_j]);
        }

        // Compute Left edge extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
                CONSTANT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_SYMMETRIC:
                SYMMETRIC_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_REFLECT:
                REFLECT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                ANTISYMMETRIC_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                ANTIREFLECT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset, int64_t);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                break;
        }


        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;

        pCurrentA += nPE;
        pCurrentD += nPE;
    }

    /*  Step 2.
     *  Compute center (length >= wavelet.length)
     *
     *  X() = [A B C D E F]
     *  h() =   [d c b a]
     *                 ^
     *                 Compute a full convolution of the filter with the signal
     */    
    for(;offset < length; offset += step){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;


        const int32_t *pS = pSrc + offset;
        const int32_t *dec_lo = wavelet.dec_lo;
        const int32_t *dec_hi = wavelet.dec_hi;

        uint32_t blkCnt = wavelet.length >> 1;

        do{
            int32_t S1 = *pS--;
            int32_t S2 = *pS--;
            MAC(sum_lo, *dec_lo++, S1);
            MAC(sum_hi, *dec_hi++, S1);
            MAC(sum_lo, *dec_lo++, S2);
            MAC(sum_hi, *dec_hi++, S2);
        }while(--blkCnt);


        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;


        pCurrentA += nPE;
        pCurrentD += nPE;
    }

    /*  Step 3.
     *  Compute center (length < wavelet.length)
     *
     *  X() =   y y[A B C]x x x
     *  h() =  [h g f e d c b a]
     *            ^     ^     ^
     *            |     |     Compute Right extension (x x x) based on extension mode
     *            |     Compute a full convolution of the filter overlapping with the signal
     *            Compute Left extension (y y) based on extension mode
     */      

    for(;offset < wavelet.length - 1; offset += step){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;

        uint32_t filt_j = 0;

        // Filter Right extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
                CONSTANT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_SYMMETRIC:
                SYMMETRIC_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_REFLECT:
                REFLECT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                ANTISYMMETRIC_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                ANTIREFLECT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset, int64_t);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                filt_j = offset - length + 1;
                break;
        }

        // Filter Center overlapp
        for(; filt_j <= offset; filt_j++){
            MAC(sum_lo, wavelet.dec_lo[filt_j], pSrc[offset - filt_j]);
            MAC(sum_hi, wavelet.dec_hi[filt_j], pSrc[offset - filt_j]);
        }   

        // Filter Left extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
                CONSTANT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_SYMMETRIC:
                SYMMETRIC_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_REFLECT:
                REFLECT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                ANTISYMMETRIC_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                ANTIREFLECT_EDGE_LEFT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset, int64_t);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                break;
        }

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;

        pCurrentA += nPE;
        pCurrentD += nPE;
    }


    /*  Step 4.
     *  Handle Right overhanging
     *
     * X() = [A B C D E F]x x
     * H() =         [d c b a]
     *                  ^   ^
     *                  |   First extend the signal (x x) by computing the values based on the extension mode
     *                  Then compute the filter part overlapping with the signal
     */
    for(; offset < length + wavelet.length - 1; offset += step){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;

        uint32_t filt_j = 0;

        // Compute Left edge extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
                CONSTANT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_SYMMETRIC:
                SYMMETRIC_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_REFLECT:
                REFLECT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                ANTISYMMETRIC_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                ANTIREFLECT_EDGE_RIGHT(sum_lo, sum_hi, pSrc, length, wavelet, filt_j, offset, int64_t);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                filt_j = offset - length + 1;
                break;
        }

        // Filter overlapping with signal
        for(; filt_j < wavelet.length; filt_j++){
            MAC(sum_lo, wavelet.dec_lo[filt_j], pSrc[offset - filt_j]);
            MAC(sum_hi, wavelet.dec_hi[filt_j], pSrc[offset - filt_j]);
        }

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;

        pCurrentA += nPE;
        pCurrentD += nPE;
    }
}




void plp_dwt_haar_q32p_xpulpv2(void *args) {

    plp_dwt_instance_q32 *S = (plp_dwt_instance_q32*) args;

    const int32_t *pSrc = S->pSrc;
    const uint32_t length = S->length;
    plp_dwt_extension_mode mode = S->mode;

    const uint32_t nPE = S->nPE;

    const uint32_t core_id = hal_core_id();

    int32_t *pCurrentA = S->pDstA + core_id;
    int32_t *pCurrentD = S->pDstD + core_id;


    int32_t offset = 1 + FILT_STEP * core_id;

    const uint32_t step = FILT_STEP * nPE;

    /***
     * The filter convolution is done in 2 steps handling cases where
     *  1. Filter is same size, or totally enclosed in signal center
     *  2. Filter hangs over the right side of the signal
     * 
     *  In of the cases, where signal hangs over the boundary of the signal, values are computed 
     *  on demand based on the edge extension mode.
     */


    /*  Step 1.
     *  Compute center (length >= wavelet.length)
     *
     *  X() = [A B C D E F]
     *  h() =       [b a]
     *                 ^
     *                 Compute a full convolution of the filter with the signal
     */ 
    for(; offset < length; offset += step){

        int64_t sum_lo = HAAR_COEF * (pSrc[offset - 1] + pSrc[offset]);
        int64_t sum_hi = HAAR_COEF * (pSrc[offset - 1] - pSrc[offset]);

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;

        pCurrentA += nPE;
        pCurrentD += nPE;
    }




    /*  Step 2.
     *  Handle Right overhanging (only for odd signal lengths)
     *
     * X() = [A B C D E F]x
     * H() =           [b a]
     *                  ^ ^
     *                  | Extend the signal (x) by computing the values based on the extension mode
     *                  Then compute the filter part overlapping with the signal
     */
    if(offset == length){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;

        uint32_t filt_j = 0;

        // Compute Left edge extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
            case PLP_DWT_MODE_SYMMETRIC:
                sum_lo = 2 * HAAR_COEF * pSrc[length - 1];   // dec_lo[0] * src[N-1] + dec_lo[1] * src[N-1]
                sum_hi = 0;                                  // dec_hi[0] * src[N-1] + dec_hi[1] * src[N-1] == -dec_hi[1] * src[N-1] + dec_hi[1] * src[N-1]
                break;
            case PLP_DWT_MODE_REFLECT:
                sum_lo = HAAR_COEF * (pSrc[length - 1] + pSrc[length - 2]);
                sum_hi = HAAR_COEF * (pSrc[length - 1] - pSrc[length - 2]);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                sum_lo = HAAR_COEF * (pSrc[length - 1] - pSrc[length - 1]);
                sum_hi = HAAR_COEF * (pSrc[length - 1] + pSrc[length - 1]);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                sum_lo = HAAR_COEF * (3*pSrc[length - 1] - pSrc[length - 2]);
                sum_hi = HAAR_COEF * ( -pSrc[length - 1] + pSrc[length - 2]);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                sum_lo = HAAR_COEF * pSrc[length - 1];
                sum_hi = HAAR_COEF * pSrc[length - 1];
                break;
        }

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;
    }
}





#undef HAAR_COEF
#undef MAC_SHIFT
#define HAAR_COEF 1U
#define MAC_SHIFT 0U


void plp_dwt_haar_u_q32p_xpulpv2(void *args) {

    plp_dwt_instance_q32 *S = (plp_dwt_instance_q32*) args;

    const int32_t *pSrc = S->pSrc;
    const uint32_t length = S->length;
    plp_dwt_extension_mode mode = S->mode;

    const uint32_t nPE = S->nPE;

    const uint32_t core_id = hal_core_id();

    int32_t *pCurrentA = S->pDstA + core_id;
    int32_t *pCurrentD = S->pDstD + core_id;


    int32_t offset = 1 + FILT_STEP * core_id;

    const uint32_t step = FILT_STEP * nPE;

    /***
     * The filter convolution is done in 2 steps handling cases where
     *  1. Filter is same size, or totally enclosed in signal center
     *  2. Filter hangs over the right side of the signal
     * 
     *  In of the cases, where signal hangs over the boundary of the signal, values are computed 
     *  on demand based on the edge extension mode.
     */


    /*  Step 1.
     *  Compute center (length >= wavelet.length)
     *
     *  X() = [A B C D E F]
     *  h() =       [b a]
     *                 ^
     *                 Compute a full convolution of the filter with the signal
     */ 
    for(; offset < length; offset += step){

        int64_t sum_lo = HAAR_COEF * (pSrc[offset - 1] + pSrc[offset]);
        int64_t sum_hi = HAAR_COEF * (pSrc[offset - 1] - pSrc[offset]);

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;

        pCurrentA += nPE;
        pCurrentD += nPE;
    }




    /*  Step 2.
     *  Handle Right overhanging (only for odd signal lengths)
     *
     * X() = [A B C D E F]x
     * H() =           [b a]
     *                  ^ ^
     *                  | Extend the signal (x) by computing the values based on the extension mode
     *                  Then compute the filter part overlapping with the signal
     */
    if(offset == length){
        int64_t sum_lo = 0;
        int64_t sum_hi = 0;

        uint32_t filt_j = 0;

        // Compute Left edge extension
        switch(mode){
            case PLP_DWT_MODE_CONSTANT:
            case PLP_DWT_MODE_SYMMETRIC:
                sum_lo = 2 * HAAR_COEF * pSrc[length - 1];   // dec_lo[0] * src[N-1] + dec_lo[1] * src[N-1]
                sum_hi = 0;                                  // dec_hi[0] * src[N-1] + dec_hi[1] * src[N-1] == -dec_hi[1] * src[N-1] + dec_hi[1] * src[N-1]
                break;
            case PLP_DWT_MODE_REFLECT:
                sum_lo = HAAR_COEF * (pSrc[length - 1] + pSrc[length - 2]);
                sum_hi = HAAR_COEF * (pSrc[length - 1] - pSrc[length - 2]);
                break;
            case PLP_DWT_MODE_ANTISYMMETRIC:
                sum_lo = HAAR_COEF * (pSrc[length - 1] - pSrc[length - 1]);
                sum_hi = HAAR_COEF * (pSrc[length - 1] + pSrc[length - 1]);
                break;
            case PLP_DWT_MODE_ANTIREFLECT:
                sum_lo = HAAR_COEF * (3*pSrc[length - 1] - pSrc[length - 2]);
                sum_hi = HAAR_COEF * ( -pSrc[length - 1] + pSrc[length - 2]);
                break;
            case PLP_DWT_MODE_PERIODIC:
            case PLP_DWT_MODE_ZERO:
            default:
                sum_lo = HAAR_COEF * pSrc[length - 1];
                sum_hi = HAAR_COEF * pSrc[length - 1];
                break;
        }

        *pCurrentA = sum_lo >> MAC_SHIFT;
        *pCurrentD = sum_hi >> MAC_SHIFT;
    }
}

Updated on 2023-03-01 at 16:16:33 +0000