/*
* This file is part of the Independent JPEG Group ' s software .
*
* The authors make NO WARRANTY or representation , either express or implied ,
* with respect to this software , its quality , accuracy , merchantability , or
* fitness for a particular purpose . This software is provided " AS IS " , and
* you , its user , assume the entire risk as to its quality and accuracy .
*
* This software is copyright ( C ) 1991 , 1992 , Thomas G . Lane .
* All Rights Reserved except as specified below .
*
* Permission is hereby granted to use , copy , modify , and distribute this
* software ( or portions thereof ) for any purpose , without fee , subject to
* these conditions :
* ( 1 ) If any part of the source code for this software is distributed , then
* this README file must be included , with this copyright and no - warranty
* notice unaltered ; and any additions , deletions , or changes to the original
* files must be clearly indicated in accompanying documentation .
* ( 2 ) If only executable code is distributed , then the accompanying
* documentation must state that " this software is based in part on the work
* of the Independent JPEG Group " .
* ( 3 ) Permission for use of this software is granted only if the user accepts
* full responsibility for any undesirable consequences ; the authors accept
* NO LIABILITY for damages of any kind .
*
* These conditions apply to any software derived from or based on the IJG
* code , not just to the unmodified library . If you use our work , you ought
* to acknowledge us .
*
* Permission is NOT granted for the use of any IJG author ' s name or company
* name in advertising or publicity relating to this software or products
* derived from it . This software may be referred to only as " the Independent
* JPEG Group ' s software " .
*
* We specifically permit and encourage the use of this software as the basis
* of commercial products , provided that all warranty or liability claims are
* assumed by the product vendor .
*
* This file contains the basic inverse - DCT transformation subroutine .
*
* This implementation is based on an algorithm described in
* C . Loeffler , A . Ligtenberg and G . Moschytz , " Practical Fast 1 - D DCT
* Algorithms with 11 Multiplications " , Proc . Int ' l . Conf . on Acoustics ,
* Speech , and Signal Processing 1989 ( ICASSP ' 89 ) , pp . 988 - 991 .
* The primary algorithm described there uses 11 multiplies and 29 adds .
* We use their alternate method with 12 multiplies and 32 adds .
* The advantage of this method is that no data path contains more than one
* multiplication ; this allows a very simple and accurate implementation in
* scaled fixed - point arithmetic , with a minimal number of shifts .
*
* I ' ve made lots of modifications to attempt to take advantage of the
* sparse nature of the DCT matrices we ' re getting . Although the logic
* is cumbersome , it ' s straightforward and the resulting code is much
* faster .
*
* A better way to do this would be to pass in the DCT block as a sparse
* matrix , perhaps with the difference cases encoded .
*/
/**
* @ file
* Independent JPEG Group ' s LLM idct .
*/
#include <stddef.h>
#include <stdint.h>
#include "libavutil/intreadwrite.h"
#include "dct.h"
#include "idctdsp.h"
#define EIGHT_BIT_SAMPLES
#define DCTSIZE 8
#define DCTSIZE2 64
#define GLOBAL
#define RIGHT_SHIFT(x, n) ((x) >> (n))
typedef int16_t DCTBLOCK[DCTSIZE2];
#define CONST_BITS 13
/*
* This routine is specialized to the case DCTSIZE = 8 .
*/
#if DCTSIZE != 8
Sorry, this code only copes with 8 x8 DCTs. /* deliberate syntax err */
#endif
/*
* A 2 - D IDCT can be done by 1 - D IDCT on each row followed by 1 - D IDCT
* on each column . Direct algorithms are also available , but they are
* much more complex and seem not to be any faster when reduced to code .
*
* The poop on this scaling stuff is as follows :
*
* Each 1 - D IDCT step produces outputs which are a factor of sqrt ( N )
* larger than the true IDCT outputs . The final outputs are therefore
* a factor of N larger than desired ; since N = 8 this can be cured by
* a simple right shift at the end of the algorithm . The advantage of
* this arrangement is that we save two multiplications per 1 - D IDCT ,
* because the y0 and y4 inputs need not be divided by sqrt ( N ) .
*
* We have to do addition and subtraction of the integer inputs , which
* is no problem , and multiplication by fractional constants , which is
* a problem to do in integer arithmetic . We multiply all the constants
* by CONST_SCALE and convert them to integer constants ( thus retaining
* CONST_BITS bits of precision in the constants ) . After doing a
* multiplication we have to divide the product by CONST_SCALE , with proper
* rounding , to produce the correct output . This division can be done
* cheaply as a right shift of CONST_BITS bits . We postpone shifting
* as long as possible so that partial sums can be added together with
* full fractional precision .
*
* The outputs of the first pass are scaled up by PASS1_BITS bits so that
* they are represented to better - than - integral precision . These outputs
* require BITS_IN_JSAMPLE + PASS1_BITS + 3 bits ; this fits in a 16 - bit word
* with the recommended scaling . ( To scale up 12 - bit sample data further , an
* intermediate int32 array would be needed . )
*
* To avoid overflow of the 32 - bit intermediate results in pass 2 , we must
* have BITS_IN_JSAMPLE + CONST_BITS + PASS1_BITS < = 26 . Error analysis
* shows that the values given below are the most effective .
*/
#ifdef EIGHT_BIT_SAMPLES
#define PASS1_BITS 2
#else
#define PASS1_BITS 1 /* lose a little precision to avoid overflow */
#endif
#define ONE ((int32_t) 1 )
#define CONST_SCALE (ONE << CONST_BITS)
/* Convert a positive real constant to an integer scaled by CONST_SCALE.
* IMPORTANT : if your compiler doesn ' t do this arithmetic at compile time ,
* you will pay a significant penalty in run time . In that case , figure
* the correct integer constant values and insert them by hand .
*/
/* Actually FIX is no longer used, we precomputed them all */
#define FIX(x) ((int32_t) ((x) * CONST_SCALE + 0 .5 ))
/* Descale and correctly round an int32_t value that's scaled by N bits.
* We assume RIGHT_SHIFT rounds towards minus infinity , so adding
* the fudge factor is correct for either sign of X .
*/
#define DESCALE(x,n) RIGHT_SHIFT((x) + (ONE << ((n)-1 )), n)
/* Multiply an int32_t variable by an int32_t constant to yield an int32_t result.
* For 8 - bit samples with the recommended scaling , all the variable
* and constant values involved are no more than 16 bits wide , so a
* 16 x16 - > 32 bit multiply can be used instead of a full 32 x32 multiply ;
* this provides a useful speedup on many machines .
* There is no way to specify a 16 x16 - > 32 multiply in portable C , but
* some C compilers will do the right thing if you provide the correct
* combination of casts .
* NB : for 12 - bit samples , a full 32 - bit multiplication will be needed .
*/
#ifdef EIGHT_BIT_SAMPLES
#ifdef SHORTxSHORT_32 /* may work if 'int' is 32 bits */
#define MULTIPLY(var,const ) (((int16_t) (var)) * ((int16_t) (const )))
#endif
#ifdef SHORTxLCONST_32 /* known to work with Microsoft C 6.0 */
#define MULTIPLY(var,const ) (((int16_t) (var)) * ((int32_t) (const )))
#endif
#endif
#ifndef MULTIPLY /* default definition */
#define MULTIPLY(var,const ) ((var) * (const ))
#endif
/*
Unlike our decoder where we approximate the FIXes , we need to use exact
ones here or successive P - frames will drift too much with Reference frame coding
*/
#define FIX_0_211164243 1730
#define FIX_0_275899380 2260
#define FIX_0_298631336 2446
#define FIX_0_390180644 3196
#define FIX_0_509795579 4176
#define FIX_0_541196100 4433
#define FIX_0_601344887 4926
#define FIX_0_765366865 6270
#define FIX_0_785694958 6436
#define FIX_0_899976223 7373
#define FIX_1_061594337 8697
#define FIX_1_111140466 9102
#define FIX_1_175875602 9633
#define FIX_1_306562965 10703
#define FIX_1_387039845 11363
#define FIX_1_451774981 11893
#define FIX_1_501321110 12299
#define FIX_1_662939225 13623
#define FIX_1_847759065 15137
#define FIX_1_961570560 16069
#define FIX_2_053119869 16819
#define FIX_2_172734803 17799
#define FIX_2_562915447 20995
#define FIX_3_072711026 25172
/*
* Perform the inverse DCT on one block of coefficients .
*/
void ff_j_rev_dct(DCTBLOCK data)
{
int32_t tmp0, tmp1, tmp2, tmp3;
int32_t tmp10, tmp11, tmp12, tmp13;
int32_t z1, z2, z3, z4, z5;
int32_t d0, d1, d2, d3, d4, d5, d6, d7;
register int16_t *dataptr;
int rowctr;
/* Pass 1: process rows. */
/* Note results are scaled up by sqrt(8) compared to a true IDCT; */
/* furthermore, we scale the results by 2**PASS1_BITS. */
dataptr = data;
for (rowctr = DCTSIZE-1 ; rowctr >= 0 ; rowctr--) {
/* Due to quantization, we will usually find that many of the input
* coefficients are zero , especially the AC terms . We can exploit this
* by short - circuiting the IDCT calculation for any row in which all
* the AC terms are zero . In that case each output is equal to the
* DC coefficient ( with scale factor as needed ) .
* With typical images and quantization tables , half or more of the
* row DCT calculations can be simplified this way .
*/
register uint8_t *idataptr = (uint8_t*)dataptr;
/* WARNING: we do the same permutation as MMX idct to simplify the
video core */
d0 = dataptr[0 ];
d2 = dataptr[1 ];
d4 = dataptr[2 ];
d6 = dataptr[3 ];
d1 = dataptr[4 ];
d3 = dataptr[5 ];
d5 = dataptr[6 ];
d7 = dataptr[7 ];
if ((d1 | d2 | d3 | d4 | d5 | d6 | d7) == 0 ) {
/* AC terms all zero */
if (d0) {
/* Compute a 32 bit value to assign. */
int16_t dcval = (int16_t) (d0 * (1 << PASS1_BITS));
register unsigned v = (dcval & 0 xffff) | ((uint32_t)dcval << 16 );
AV_WN32A(&idataptr[ 0 ], v);
AV_WN32A(&idataptr[ 4 ], v);
AV_WN32A(&idataptr[ 8 ], v);
AV_WN32A(&idataptr[12 ], v);
}
dataptr += DCTSIZE; /* advance pointer to next row */
continue ;
}
/* Even part: reverse the even part of the forward DCT. */
/* The rotator is sqrt(2)*c(-6). */
{
if (d6) {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
z1 = MULTIPLY(d2 + d6, FIX_0_541196100);
tmp2 = z1 + MULTIPLY(-d6, FIX_1_847759065);
tmp3 = z1 + MULTIPLY(d2, FIX_0_765366865);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
tmp2 = MULTIPLY(-d6, FIX_1_306562965);
tmp3 = MULTIPLY(d6, FIX_0_541196100);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
}
} else {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
tmp2 = MULTIPLY(d2, FIX_0_541196100);
tmp3 = MULTIPLY(d2, FIX_1_306562965);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
tmp10 = tmp13 = (d0 + d4) * CONST_SCALE;
tmp11 = tmp12 = (d0 - d4) * CONST_SCALE;
}
}
/* Odd part per figure 8; the matrix is unitary and hence its
* transpose is its inverse . i0 . . i3 are y7 , y5 , y3 , y1 respectively .
*/
if (d7) {
if (d5) {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 != 0, d7 != 0 */
z1 = d7 + d1;
z2 = d5 + d3;
z3 = d7 + d3;
z4 = d5 + d1;
z5 = MULTIPLY(z3 + z4, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 != 0, d7 != 0 */
z2 = d5 + d3;
z3 = d7 + d3;
z5 = MULTIPLY(z3 + d5, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
z1 = MULTIPLY(-d7, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 = z1 + z4;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 != 0, d7 != 0 */
z1 = d7 + d1;
z4 = d5 + d1;
z5 = MULTIPLY(d7 + z4, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z3 = MULTIPLY(-d7, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 = z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 == 0, d5 != 0, d7 != 0 */
tmp0 = MULTIPLY(-d7, FIX_0_601344887);
z1 = MULTIPLY(-d7, FIX_0_899976223);
z3 = MULTIPLY(-d7, FIX_1_961570560);
tmp1 = MULTIPLY(-d5, FIX_0_509795579);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z5 = MULTIPLY(d5 + d7, FIX_1_175875602);
z3 += z5;
z4 += z5;
tmp0 += z3;
tmp1 += z4;
tmp2 = z2 + z3;
tmp3 = z1 + z4;
}
}
} else {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 == 0, d7 != 0 */
z1 = d7 + d1;
z3 = d7 + d3;
z5 = MULTIPLY(z3 + d1, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-d3, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-d1, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 = z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 == 0, d7 != 0 */
z3 = d7 + d3;
tmp0 = MULTIPLY(-d7, FIX_0_601344887);
z1 = MULTIPLY(-d7, FIX_0_899976223);
tmp2 = MULTIPLY(d3, FIX_0_509795579);
z2 = MULTIPLY(-d3, FIX_2_562915447);
z5 = MULTIPLY(z3, FIX_1_175875602);
z3 = MULTIPLY(-z3, FIX_0_785694958);
tmp0 += z3;
tmp1 = z2 + z5;
tmp2 += z3;
tmp3 = z1 + z5;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 == 0, d7 != 0 */
z1 = d7 + d1;
z5 = MULTIPLY(z1, FIX_1_175875602);
z1 = MULTIPLY(z1, FIX_0_275899380);
z3 = MULTIPLY(-d7, FIX_1_961570560);
tmp0 = MULTIPLY(-d7, FIX_1_662939225);
z4 = MULTIPLY(-d1, FIX_0_390180644);
tmp3 = MULTIPLY(d1, FIX_1_111140466);
tmp0 += z1;
tmp1 = z4 + z5;
tmp2 = z3 + z5;
tmp3 += z1;
} else {
/* d1 == 0, d3 == 0, d5 == 0, d7 != 0 */
tmp0 = MULTIPLY(-d7, FIX_1_387039845);
tmp1 = MULTIPLY(d7, FIX_1_175875602);
tmp2 = MULTIPLY(-d7, FIX_0_785694958);
tmp3 = MULTIPLY(d7, FIX_0_275899380);
}
}
}
} else {
if (d5) {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 != 0, d7 == 0 */
z2 = d5 + d3;
z4 = d5 + d1;
z5 = MULTIPLY(d3 + z4, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-d1, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-d3, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 = z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 != 0, d7 == 0 */
z2 = d5 + d3;
z5 = MULTIPLY(z2, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_1_662939225);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z2 = MULTIPLY(-z2, FIX_1_387039845);
tmp2 = MULTIPLY(d3, FIX_1_111140466);
z3 = MULTIPLY(-d3, FIX_1_961570560);
tmp0 = z3 + z5;
tmp1 += z2;
tmp2 += z2;
tmp3 = z4 + z5;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 != 0, d7 == 0 */
z4 = d5 + d1;
z5 = MULTIPLY(z4, FIX_1_175875602);
z1 = MULTIPLY(-d1, FIX_0_899976223);
tmp3 = MULTIPLY(d1, FIX_0_601344887);
tmp1 = MULTIPLY(-d5, FIX_0_509795579);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z4 = MULTIPLY(z4, FIX_0_785694958);
tmp0 = z1 + z5;
tmp1 += z4;
tmp2 = z2 + z5;
tmp3 += z4;
} else {
/* d1 == 0, d3 == 0, d5 != 0, d7 == 0 */
tmp0 = MULTIPLY(d5, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_0_275899380);
tmp2 = MULTIPLY(-d5, FIX_1_387039845);
tmp3 = MULTIPLY(d5, FIX_0_785694958);
}
}
} else {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 == 0, d7 == 0 */
z5 = d1 + d3;
tmp3 = MULTIPLY(d1, FIX_0_211164243);
tmp2 = MULTIPLY(-d3, FIX_1_451774981);
z1 = MULTIPLY(d1, FIX_1_061594337);
z2 = MULTIPLY(-d3, FIX_2_172734803);
z4 = MULTIPLY(z5, FIX_0_785694958);
z5 = MULTIPLY(z5, FIX_1_175875602);
tmp0 = z1 - z4;
tmp1 = z2 + z4;
tmp2 += z5;
tmp3 += z5;
} else {
/* d1 == 0, d3 != 0, d5 == 0, d7 == 0 */
tmp0 = MULTIPLY(-d3, FIX_0_785694958);
tmp1 = MULTIPLY(-d3, FIX_1_387039845);
tmp2 = MULTIPLY(-d3, FIX_0_275899380);
tmp3 = MULTIPLY(d3, FIX_1_175875602);
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 == 0, d7 == 0 */
tmp0 = MULTIPLY(d1, FIX_0_275899380);
tmp1 = MULTIPLY(d1, FIX_0_785694958);
tmp2 = MULTIPLY(d1, FIX_1_175875602);
tmp3 = MULTIPLY(d1, FIX_1_387039845);
} else {
/* d1 == 0, d3 == 0, d5 == 0, d7 == 0 */
tmp0 = tmp1 = tmp2 = tmp3 = 0 ;
}
}
}
}
}
/* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
dataptr[0 ] = (int16_t) DESCALE(tmp10 + tmp3, CONST_BITS-PASS1_BITS);
dataptr[7 ] = (int16_t) DESCALE(tmp10 - tmp3, CONST_BITS-PASS1_BITS);
dataptr[1 ] = (int16_t) DESCALE(tmp11 + tmp2, CONST_BITS-PASS1_BITS);
dataptr[6 ] = (int16_t) DESCALE(tmp11 - tmp2, CONST_BITS-PASS1_BITS);
dataptr[2 ] = (int16_t) DESCALE(tmp12 + tmp1, CONST_BITS-PASS1_BITS);
dataptr[5 ] = (int16_t) DESCALE(tmp12 - tmp1, CONST_BITS-PASS1_BITS);
dataptr[3 ] = (int16_t) DESCALE(tmp13 + tmp0, CONST_BITS-PASS1_BITS);
dataptr[4 ] = (int16_t) DESCALE(tmp13 - tmp0, CONST_BITS-PASS1_BITS);
dataptr += DCTSIZE; /* advance pointer to next row */
}
/* Pass 2: process columns. */
/* Note that we must descale the results by a factor of 8 == 2**3, */
/* and also undo the PASS1_BITS scaling. */
dataptr = data;
for (rowctr = DCTSIZE-1 ; rowctr >= 0 ; rowctr--) {
/* Columns of zeroes can be exploited in the same way as we did with rows.
* However , the row calculation has created many nonzero AC terms , so the
* simplification applies less often ( typically 5 % to 10 % of the time ) .
* On machines with very fast multiplication , it ' s possible that the
* test takes more time than it ' s worth . In that case this section
* may be commented out .
*/
d0 = dataptr[DCTSIZE*0 ];
d1 = dataptr[DCTSIZE*1 ];
d2 = dataptr[DCTSIZE*2 ];
d3 = dataptr[DCTSIZE*3 ];
d4 = dataptr[DCTSIZE*4 ];
d5 = dataptr[DCTSIZE*5 ];
d6 = dataptr[DCTSIZE*6 ];
d7 = dataptr[DCTSIZE*7 ];
/* Even part: reverse the even part of the forward DCT. */
/* The rotator is sqrt(2)*c(-6). */
if (d6) {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
z1 = MULTIPLY(d2 + d6, FIX_0_541196100);
tmp2 = z1 + MULTIPLY(-d6, FIX_1_847759065);
tmp3 = z1 + MULTIPLY(d2, FIX_0_765366865);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
tmp2 = MULTIPLY(-d6, FIX_1_306562965);
tmp3 = MULTIPLY(d6, FIX_0_541196100);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
}
} else {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
tmp2 = MULTIPLY(d2, FIX_0_541196100);
tmp3 = MULTIPLY(d2, FIX_1_306562965);
tmp0 = (d0 + d4) * CONST_SCALE;
tmp1 = (d0 - d4) * CONST_SCALE;
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
tmp10 = tmp13 = (d0 + d4) * CONST_SCALE;
tmp11 = tmp12 = (d0 - d4) * CONST_SCALE;
}
}
/* Odd part per figure 8; the matrix is unitary and hence its
* transpose is its inverse . i0 . . i3 are y7 , y5 , y3 , y1 respectively .
*/
if (d7) {
if (d5) {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 != 0, d7 != 0 */
z1 = d7 + d1;
z2 = d5 + d3;
z3 = d7 + d3;
z4 = d5 + d1;
z5 = MULTIPLY(z3 + z4, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 != 0, d7 != 0 */
z2 = d5 + d3;
z3 = d7 + d3;
z5 = MULTIPLY(z3 + d5, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
z1 = MULTIPLY(-d7, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 = z1 + z4;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 != 0, d7 != 0 */
z1 = d7 + d1;
z3 = d7;
z4 = d5 + d1;
z5 = MULTIPLY(z3 + z4, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z3 = MULTIPLY(-d7, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 += z2 + z4;
tmp2 = z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 == 0, d5 != 0, d7 != 0 */
tmp0 = MULTIPLY(-d7, FIX_0_601344887);
z1 = MULTIPLY(-d7, FIX_0_899976223);
z3 = MULTIPLY(-d7, FIX_1_961570560);
tmp1 = MULTIPLY(-d5, FIX_0_509795579);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z5 = MULTIPLY(d5 + d7, FIX_1_175875602);
z3 += z5;
z4 += z5;
tmp0 += z3;
tmp1 += z4;
tmp2 = z2 + z3;
tmp3 = z1 + z4;
}
}
} else {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 == 0, d7 != 0 */
z1 = d7 + d1;
z3 = d7 + d3;
z5 = MULTIPLY(z3 + d1, FIX_1_175875602);
tmp0 = MULTIPLY(d7, FIX_0_298631336);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-z1, FIX_0_899976223);
z2 = MULTIPLY(-d3, FIX_2_562915447);
z3 = MULTIPLY(-z3, FIX_1_961570560);
z4 = MULTIPLY(-d1, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 += z1 + z3;
tmp1 = z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 == 0, d7 != 0 */
z3 = d7 + d3;
tmp0 = MULTIPLY(-d7, FIX_0_601344887);
z1 = MULTIPLY(-d7, FIX_0_899976223);
tmp2 = MULTIPLY(d3, FIX_0_509795579);
z2 = MULTIPLY(-d3, FIX_2_562915447);
z5 = MULTIPLY(z3, FIX_1_175875602);
z3 = MULTIPLY(-z3, FIX_0_785694958);
tmp0 += z3;
tmp1 = z2 + z5;
tmp2 += z3;
tmp3 = z1 + z5;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 == 0, d7 != 0 */
z1 = d7 + d1;
z5 = MULTIPLY(z1, FIX_1_175875602);
z1 = MULTIPLY(z1, FIX_0_275899380);
z3 = MULTIPLY(-d7, FIX_1_961570560);
tmp0 = MULTIPLY(-d7, FIX_1_662939225);
z4 = MULTIPLY(-d1, FIX_0_390180644);
tmp3 = MULTIPLY(d1, FIX_1_111140466);
tmp0 += z1;
tmp1 = z4 + z5;
tmp2 = z3 + z5;
tmp3 += z1;
} else {
/* d1 == 0, d3 == 0, d5 == 0, d7 != 0 */
tmp0 = MULTIPLY(-d7, FIX_1_387039845);
tmp1 = MULTIPLY(d7, FIX_1_175875602);
tmp2 = MULTIPLY(-d7, FIX_0_785694958);
tmp3 = MULTIPLY(d7, FIX_0_275899380);
}
}
}
} else {
if (d5) {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 != 0, d7 == 0 */
z2 = d5 + d3;
z4 = d5 + d1;
z5 = MULTIPLY(d3 + z4, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_2_053119869);
tmp2 = MULTIPLY(d3, FIX_3_072711026);
tmp3 = MULTIPLY(d1, FIX_1_501321110);
z1 = MULTIPLY(-d1, FIX_0_899976223);
z2 = MULTIPLY(-z2, FIX_2_562915447);
z3 = MULTIPLY(-d3, FIX_1_961570560);
z4 = MULTIPLY(-z4, FIX_0_390180644);
z3 += z5;
z4 += z5;
tmp0 = z1 + z3;
tmp1 += z2 + z4;
tmp2 += z2 + z3;
tmp3 += z1 + z4;
} else {
/* d1 == 0, d3 != 0, d5 != 0, d7 == 0 */
z2 = d5 + d3;
z5 = MULTIPLY(z2, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_1_662939225);
z4 = MULTIPLY(-d5, FIX_0_390180644);
z2 = MULTIPLY(-z2, FIX_1_387039845);
tmp2 = MULTIPLY(d3, FIX_1_111140466);
z3 = MULTIPLY(-d3, FIX_1_961570560);
tmp0 = z3 + z5;
tmp1 += z2;
tmp2 += z2;
tmp3 = z4 + z5;
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 != 0, d7 == 0 */
z4 = d5 + d1;
z5 = MULTIPLY(z4, FIX_1_175875602);
z1 = MULTIPLY(-d1, FIX_0_899976223);
tmp3 = MULTIPLY(d1, FIX_0_601344887);
tmp1 = MULTIPLY(-d5, FIX_0_509795579);
z2 = MULTIPLY(-d5, FIX_2_562915447);
z4 = MULTIPLY(z4, FIX_0_785694958);
tmp0 = z1 + z5;
tmp1 += z4;
tmp2 = z2 + z5;
tmp3 += z4;
} else {
/* d1 == 0, d3 == 0, d5 != 0, d7 == 0 */
tmp0 = MULTIPLY(d5, FIX_1_175875602);
tmp1 = MULTIPLY(d5, FIX_0_275899380);
tmp2 = MULTIPLY(-d5, FIX_1_387039845);
tmp3 = MULTIPLY(d5, FIX_0_785694958);
}
}
} else {
if (d3) {
if (d1) {
/* d1 != 0, d3 != 0, d5 == 0, d7 == 0 */
z5 = d1 + d3;
tmp3 = MULTIPLY(d1, FIX_0_211164243);
tmp2 = MULTIPLY(-d3, FIX_1_451774981);
z1 = MULTIPLY(d1, FIX_1_061594337);
z2 = MULTIPLY(-d3, FIX_2_172734803);
z4 = MULTIPLY(z5, FIX_0_785694958);
z5 = MULTIPLY(z5, FIX_1_175875602);
tmp0 = z1 - z4;
tmp1 = z2 + z4;
tmp2 += z5;
tmp3 += z5;
} else {
/* d1 == 0, d3 != 0, d5 == 0, d7 == 0 */
tmp0 = MULTIPLY(-d3, FIX_0_785694958);
tmp1 = MULTIPLY(-d3, FIX_1_387039845);
tmp2 = MULTIPLY(-d3, FIX_0_275899380);
tmp3 = MULTIPLY(d3, FIX_1_175875602);
}
} else {
if (d1) {
/* d1 != 0, d3 == 0, d5 == 0, d7 == 0 */
tmp0 = MULTIPLY(d1, FIX_0_275899380);
tmp1 = MULTIPLY(d1, FIX_0_785694958);
tmp2 = MULTIPLY(d1, FIX_1_175875602);
tmp3 = MULTIPLY(d1, FIX_1_387039845);
} else {
/* d1 == 0, d3 == 0, d5 == 0, d7 == 0 */
tmp0 = tmp1 = tmp2 = tmp3 = 0 ;
}
}
}
}
/* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
dataptr[DCTSIZE*0 ] = (int16_t) DESCALE(tmp10 + tmp3,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*7 ] = (int16_t) DESCALE(tmp10 - tmp3,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*1 ] = (int16_t) DESCALE(tmp11 + tmp2,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*6 ] = (int16_t) DESCALE(tmp11 - tmp2,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*2 ] = (int16_t) DESCALE(tmp12 + tmp1,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*5 ] = (int16_t) DESCALE(tmp12 - tmp1,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*3 ] = (int16_t) DESCALE(tmp13 + tmp0,
CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSIZE*4 ] = (int16_t) DESCALE(tmp13 - tmp0,
CONST_BITS+PASS1_BITS+3 );
dataptr++; /* advance pointer to next column */
}
}
#undef DCTSIZE
#define DCTSIZE 4
#define DCTSTRIDE 8
void ff_j_rev_dct4(DCTBLOCK data)
{
int32_t tmp0, tmp1, tmp2, tmp3;
int32_t tmp10, tmp11, tmp12, tmp13;
int32_t z1;
int32_t d0, d2, d4, d6;
register int16_t *dataptr;
int rowctr;
/* Pass 1: process rows. */
/* Note results are scaled up by sqrt(8) compared to a true IDCT; */
/* furthermore, we scale the results by 2**PASS1_BITS. */
data[0 ] += 4 ;
dataptr = data;
for (rowctr = DCTSIZE-1 ; rowctr >= 0 ; rowctr--) {
/* Due to quantization, we will usually find that many of the input
* coefficients are zero , especially the AC terms . We can exploit this
* by short - circuiting the IDCT calculation for any row in which all
* the AC terms are zero . In that case each output is equal to the
* DC coefficient ( with scale factor as needed ) .
* With typical images and quantization tables , half or more of the
* row DCT calculations can be simplified this way .
*/
register uint8_t *idataptr = (uint8_t*)dataptr;
d0 = dataptr[0 ];
d2 = dataptr[1 ];
d4 = dataptr[2 ];
d6 = dataptr[3 ];
if ((d2 | d4 | d6) == 0 ) {
/* AC terms all zero */
if (d0) {
/* Compute a 32 bit value to assign. */
int16_t dcval = (int16_t) (d0 * (1 << PASS1_BITS));
register unsigned v = (dcval & 0 xffff) | ((uint32_t)dcval << 16 );
AV_WN32A(&idataptr[0 ], v);
AV_WN32A(&idataptr[4 ], v);
}
dataptr += DCTSTRIDE; /* advance pointer to next row */
continue ;
}
/* Even part: reverse the even part of the forward DCT. */
/* The rotator is sqrt(2)*c(-6). */
if (d6) {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
z1 = MULTIPLY(d2 + d6, FIX_0_541196100);
tmp2 = z1 + MULTIPLY(-d6, FIX_1_847759065);
tmp3 = z1 + MULTIPLY(d2, FIX_0_765366865);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
tmp2 = MULTIPLY(-d6, FIX_1_306562965);
tmp3 = MULTIPLY(d6, FIX_0_541196100);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
}
} else {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
tmp2 = MULTIPLY(d2, FIX_0_541196100);
tmp3 = MULTIPLY(d2, FIX_1_306562965);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
tmp10 = tmp13 = (d0 + d4) * (1 << CONST_BITS);
tmp11 = tmp12 = (d0 - d4) * (1 << CONST_BITS);
}
}
/* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
dataptr[0 ] = (int16_t) DESCALE(tmp10, CONST_BITS-PASS1_BITS);
dataptr[1 ] = (int16_t) DESCALE(tmp11, CONST_BITS-PASS1_BITS);
dataptr[2 ] = (int16_t) DESCALE(tmp12, CONST_BITS-PASS1_BITS);
dataptr[3 ] = (int16_t) DESCALE(tmp13, CONST_BITS-PASS1_BITS);
dataptr += DCTSTRIDE; /* advance pointer to next row */
}
/* Pass 2: process columns. */
/* Note that we must descale the results by a factor of 8 == 2**3, */
/* and also undo the PASS1_BITS scaling. */
dataptr = data;
for (rowctr = DCTSIZE-1 ; rowctr >= 0 ; rowctr--) {
/* Columns of zeroes can be exploited in the same way as we did with rows.
* However , the row calculation has created many nonzero AC terms , so the
* simplification applies less often ( typically 5 % to 10 % of the time ) .
* On machines with very fast multiplication , it ' s possible that the
* test takes more time than it ' s worth . In that case this section
* may be commented out .
*/
d0 = dataptr[DCTSTRIDE*0 ];
d2 = dataptr[DCTSTRIDE*1 ];
d4 = dataptr[DCTSTRIDE*2 ];
d6 = dataptr[DCTSTRIDE*3 ];
/* Even part: reverse the even part of the forward DCT. */
/* The rotator is sqrt(2)*c(-6). */
if (d6) {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
z1 = MULTIPLY(d2 + d6, FIX_0_541196100);
tmp2 = z1 + MULTIPLY(-d6, FIX_1_847759065);
tmp3 = z1 + MULTIPLY(d2, FIX_0_765366865);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
tmp2 = MULTIPLY(-d6, FIX_1_306562965);
tmp3 = MULTIPLY(d6, FIX_0_541196100);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
}
} else {
if (d2) {
/* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
tmp2 = MULTIPLY(d2, FIX_0_541196100);
tmp3 = MULTIPLY(d2, FIX_1_306562965);
tmp0 = (d0 + d4) * (1 << CONST_BITS);
tmp1 = (d0 - d4) * (1 << CONST_BITS);
tmp10 = tmp0 + tmp3;
tmp13 = tmp0 - tmp3;
tmp11 = tmp1 + tmp2;
tmp12 = tmp1 - tmp2;
} else {
/* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
tmp10 = tmp13 = (d0 + d4) * (1 << CONST_BITS);
tmp11 = tmp12 = (d0 - d4) * (1 << CONST_BITS);
}
}
/* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
dataptr[DCTSTRIDE*0 ] = tmp10 >> (CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSTRIDE*1 ] = tmp11 >> (CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSTRIDE*2 ] = tmp12 >> (CONST_BITS+PASS1_BITS+3 );
dataptr[DCTSTRIDE*3 ] = tmp13 >> (CONST_BITS+PASS1_BITS+3 );
dataptr++; /* advance pointer to next column */
}
}
void ff_j_rev_dct2(DCTBLOCK data){
int d00, d01, d10, d11;
data[0 ] += 4 ;
d00 = data[0 +0 *DCTSTRIDE] + data[1 +0 *DCTSTRIDE];
d01 = data[0 +0 *DCTSTRIDE] - data[1 +0 *DCTSTRIDE];
d10 = data[0 +1 *DCTSTRIDE] + data[1 +1 *DCTSTRIDE];
d11 = data[0 +1 *DCTSTRIDE] - data[1 +1 *DCTSTRIDE];
data[0 +0 *DCTSTRIDE]= (d00 + d10)>>3 ;
data[1 +0 *DCTSTRIDE]= (d01 + d11)>>3 ;
data[0 +1 *DCTSTRIDE]= (d00 - d10)>>3 ;
data[1 +1 *DCTSTRIDE]= (d01 - d11)>>3 ;
}
void ff_j_rev_dct1(DCTBLOCK data){
data[0 ] = (data[0 ] + 4 )>>3 ;
}
#undef FIX
#undef CONST_BITS
void ff_jref_idct_put(uint8_t *dest, ptrdiff_t line_size, int16_t block[64 ])
{
ff_j_rev_dct(block);
ff_put_pixels_clamped_c(block, dest, line_size);
}
void ff_jref_idct_add(uint8_t *dest, ptrdiff_t line_size, int16_t block[64 ])
{
ff_j_rev_dct(block);
ff_add_pixels_clamped_c(block, dest, line_size);
}
Messung V0.5 in Prozent C=90 H=97 G=93
¤ Dauer der Verarbeitung: 0.25 Sekunden
¤
*© Formatika GbR, Deutschland