faanidct.c

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/*
 * Floating point AAN IDCT
 * Copyright (c) 2008 Michael Niedermayer <michaelni@gmx.at>
 *
 * This file is part of FFmpeg.
 *
 * FFmpeg is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * FFmpeg is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with FFmpeg; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 */
#include "faanidct.h"
#include "libavutil/common.h"

/* To allow switching to double. */
#define FLOAT float

#define B0 1.0000000000000000000000
#define B1 1.3870398453221474618216 // cos(pi*1/16)sqrt(2)
#define B2 1.3065629648763765278566 // cos(pi*2/16)sqrt(2)
#define B3 1.1758756024193587169745 // cos(pi*3/16)sqrt(2)
#define B4 1.0000000000000000000000 // cos(pi*4/16)sqrt(2)
#define B5 0.7856949583871021812779 // cos(pi*5/16)sqrt(2)
#define B6 0.5411961001461969843997 // cos(pi*6/16)sqrt(2)
#define B7 0.2758993792829430123360 // cos(pi*7/16)sqrt(2)

#define A4 0.70710678118654752438 // cos(pi*4/16)
#define A2 0.92387953251128675613 // cos(pi*2/16)

static const FLOAT prescale[64]={
B0*B0/8, B0*B1/8, B0*B2/8, B0*B3/8, B0*B4/8, B0*B5/8, B0*B6/8, B0*B7/8,
B1*B0/8, B1*B1/8, B1*B2/8, B1*B3/8, B1*B4/8, B1*B5/8, B1*B6/8, B1*B7/8,
B2*B0/8, B2*B1/8, B2*B2/8, B2*B3/8, B2*B4/8, B2*B5/8, B2*B6/8, B2*B7/8,
B3*B0/8, B3*B1/8, B3*B2/8, B3*B3/8, B3*B4/8, B3*B5/8, B3*B6/8, B3*B7/8,
B4*B0/8, B4*B1/8, B4*B2/8, B4*B3/8, B4*B4/8, B4*B5/8, B4*B6/8, B4*B7/8,
B5*B0/8, B5*B1/8, B5*B2/8, B5*B3/8, B5*B4/8, B5*B5/8, B5*B6/8, B5*B7/8,
B6*B0/8, B6*B1/8, B6*B2/8, B6*B3/8, B6*B4/8, B6*B5/8, B6*B6/8, B6*B7/8,
B7*B0/8, B7*B1/8, B7*B2/8, B7*B3/8, B7*B4/8, B7*B5/8, B7*B6/8, B7*B7/8,
};

static inline void p8idct(int16_t data[64], FLOAT temp[64], uint8_t *dest, int stride, int x, int y, int type){
    int i;
    FLOAT s04, d04, s17, d17, s26, d26, s53, d53;
    FLOAT os07, os16, os25, os34;
    FLOAT od07, od16, od25, od34;

    for(i=0; i<y*8; i+=y){
        s17= temp[1*x + i] + temp[7*x + i];
        d17= temp[1*x + i] - temp[7*x + i];
        s53= temp[5*x + i] + temp[3*x + i];
        d53= temp[5*x + i] - temp[3*x + i];

        od07=  s17 + s53;
        od25= (s17 - s53)*(2*A4);

#if 0 //these 2 are equivalent
        {
            FLOAT tmp0;
            tmp0 = (d17 + d53) *  (2 * A2);
            od34 =  d17        *  (2 * B6) - tmp0;
            od16 =  d53        * (-2 * B2) + tmp0;
        }
#else
        od34=  d17*(2*(B6-A2)) - d53*(2*A2);
        od16=  d53*(2*(A2-B2)) + d17*(2*A2);
#endif

        od16 -= od07;
        od25 -= od16;
        od34 += od25;

        s26 = temp[2*x + i] + temp[6*x + i];
        d26 = temp[2*x + i] - temp[6*x + i];
        d26*= 2*A4;
        d26-= s26;

        s04= temp[0*x + i] + temp[4*x + i];
        d04= temp[0*x + i] - temp[4*x + i];

        os07= s04 + s26;
        os34= s04 - s26;
        os16= d04 + d26;
        os25= d04 - d26;

        if(type==0){
            temp[0*x + i]= os07 + od07;
            temp[7*x + i]= os07 - od07;
            temp[1*x + i]= os16 + od16;
            temp[6*x + i]= os16 - od16;
            temp[2*x + i]= os25 + od25;
            temp[5*x + i]= os25 - od25;
            temp[3*x + i]= os34 - od34;
            temp[4*x + i]= os34 + od34;
        }else if(type==1){
            data[0*x + i]= lrintf(os07 + od07);
            data[7*x + i]= lrintf(os07 - od07);
            data[1*x + i]= lrintf(os16 + od16);
            data[6*x + i]= lrintf(os16 - od16);
            data[2*x + i]= lrintf(os25 + od25);
            data[5*x + i]= lrintf(os25 - od25);
            data[3*x + i]= lrintf(os34 - od34);
            data[4*x + i]= lrintf(os34 + od34);
        }else if(type==2){
            dest[0*stride + i]= av_clip_uint8(((int)dest[0*stride + i]) + lrintf(os07 + od07));
            dest[7*stride + i]= av_clip_uint8(((int)dest[7*stride + i]) + lrintf(os07 - od07));
            dest[1*stride + i]= av_clip_uint8(((int)dest[1*stride + i]) + lrintf(os16 + od16));
            dest[6*stride + i]= av_clip_uint8(((int)dest[6*stride + i]) + lrintf(os16 - od16));
            dest[2*stride + i]= av_clip_uint8(((int)dest[2*stride + i]) + lrintf(os25 + od25));
            dest[5*stride + i]= av_clip_uint8(((int)dest[5*stride + i]) + lrintf(os25 - od25));
            dest[3*stride + i]= av_clip_uint8(((int)dest[3*stride + i]) + lrintf(os34 - od34));
            dest[4*stride + i]= av_clip_uint8(((int)dest[4*stride + i]) + lrintf(os34 + od34));
        }else{
            dest[0*stride + i]= av_clip_uint8(lrintf(os07 + od07));
            dest[7*stride + i]= av_clip_uint8(lrintf(os07 - od07));
            dest[1*stride + i]= av_clip_uint8(lrintf(os16 + od16));
            dest[6*stride + i]= av_clip_uint8(lrintf(os16 - od16));
            dest[2*stride + i]= av_clip_uint8(lrintf(os25 + od25));
            dest[5*stride + i]= av_clip_uint8(lrintf(os25 - od25));
            dest[3*stride + i]= av_clip_uint8(lrintf(os34 - od34));
            dest[4*stride + i]= av_clip_uint8(lrintf(os34 + od34));
        }
    }
}

void ff_faanidct(int16_t block[64]){
    FLOAT temp[64];
    int i;

    emms_c();

    for(i=0; i<64; i++)
        temp[i] = block[i] * prescale[i];

    p8idct(block, temp, NULL, 0, 1, 8, 0);
    p8idct(block, temp, NULL, 0, 8, 1, 1);
}

void ff_faanidct_add(uint8_t *dest, int line_size, int16_t block[64]){
    FLOAT temp[64];
    int i;

    emms_c();

    for(i=0; i<64; i++)
        temp[i] = block[i] * prescale[i];

    p8idct(block, temp, NULL,         0, 1, 8, 0);
    p8idct(NULL , temp, dest, line_size, 8, 1, 2);
}

void ff_faanidct_put(uint8_t *dest, int line_size, int16_t block[64]){
    FLOAT temp[64];
    int i;

    emms_c();

    for(i=0; i<64; i++)
        temp[i] = block[i] * prescale[i];

    p8idct(block, temp, NULL,         0, 1, 8, 0);
    p8idct(NULL , temp, dest, line_size, 8, 1, 3);
}