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- /*
- * jidctred.c
- *
- * Copyright (C) 1994, Thomas G. Lane.
- * This file is part of the Independent JPEG Group's software.
- * For conditions of distribution and use, see the accompanying README file.
- *
- * This file contains inverse-DCT routines that produce reduced-size output:
- * either 4x4, 2x2, or 1x1 pixels from an 8x8 DCT block.
- *
- * The implementation is based on the Loeffler, Ligtenberg and Moschytz (LL&M)
- * algorithm used in jidctint.c. We simply replace each 8-to-8 1-D IDCT step
- * with an 8-to-4 step that produces the four averages of two adjacent outputs
- * (or an 8-to-2 step producing two averages of four outputs, for 2x2 output).
- * These steps were derived by computing the corresponding values at the end
- * of the normal LL&M code, then simplifying as much as possible.
- *
- * 1x1 is trivial: just take the DC coefficient divided by 8.
- *
- * See jidctint.c for additional comments.
- */
- #define JPEG_INTERNALS
- #include "jinclude.h"
- #include "jpeglib.h"
- #include "jdct.h" /* Private declarations for DCT subsystem */
- #ifdef IDCT_SCALING_SUPPORTED
- /*
- * This module is specialized to the case DCTSIZE = 8.
- */
- #if DCTSIZE != 8
- Sorry, this code only copes with 8 x8 DCTs. /* deliberate syntax err */
- #endif
- /* Scaling is the same as in jidctint.c. */
- #if BITS_IN_JSAMPLE == 8
- #define CONST_BITS 13
- #define PASS1_BITS 2
- #else
- #define CONST_BITS 13
- #define PASS1_BITS 1 /* lose a little precision to avoid overflow */
- #endif
- /* Some C compilers fail to reduce "FIX(constant)" at compile time, thus
- * causing a lot of useless floating-point operations at run time.
- * To get around this we use the following pre-calculated constants.
- * If you change CONST_BITS you may want to add appropriate values.
- * (With a reasonable C compiler, you can just rely on the FIX() macro...)
- */
- #if CONST_BITS == 13
- #define FIX_0_211164243 ( (INT32) 1730 ) /* FIX(0.211164243) */
- #define FIX_0_509795579 ( (INT32) 4176 ) /* FIX(0.509795579) */
- #define FIX_0_601344887 ( (INT32) 4926 ) /* FIX(0.601344887) */
- #define FIX_0_720959822 ( (INT32) 5906 ) /* FIX(0.720959822) */
- #define FIX_0_765366865 ( (INT32) 6270 ) /* FIX(0.765366865) */
- #define FIX_0_850430095 ( (INT32) 6967 ) /* FIX(0.850430095) */
- #define FIX_0_899976223 ( (INT32) 7373 ) /* FIX(0.899976223) */
- #define FIX_1_061594337 ( (INT32) 8697 ) /* FIX(1.061594337) */
- #define FIX_1_272758580 ( (INT32) 10426 ) /* FIX(1.272758580) */
- #define FIX_1_451774981 ( (INT32) 11893 ) /* FIX(1.451774981) */
- #define FIX_1_847759065 ( (INT32) 15137 ) /* FIX(1.847759065) */
- #define FIX_2_172734803 ( (INT32) 17799 ) /* FIX(2.172734803) */
- #define FIX_2_562915447 ( (INT32) 20995 ) /* FIX(2.562915447) */
- #define FIX_3_624509785 ( (INT32) 29692 ) /* FIX(3.624509785) */
- #else
- #define FIX_0_211164243 FIX( 0.211164243 )
- #define FIX_0_509795579 FIX( 0.509795579 )
- #define FIX_0_601344887 FIX( 0.601344887 )
- #define FIX_0_720959822 FIX( 0.720959822 )
- #define FIX_0_765366865 FIX( 0.765366865 )
- #define FIX_0_850430095 FIX( 0.850430095 )
- #define FIX_0_899976223 FIX( 0.899976223 )
- #define FIX_1_061594337 FIX( 1.061594337 )
- #define FIX_1_272758580 FIX( 1.272758580 )
- #define FIX_1_451774981 FIX( 1.451774981 )
- #define FIX_1_847759065 FIX( 1.847759065 )
- #define FIX_2_172734803 FIX( 2.172734803 )
- #define FIX_2_562915447 FIX( 2.562915447 )
- #define FIX_3_624509785 FIX( 3.624509785 )
- #endif
- /* Multiply an INT32 variable by an INT32 constant to yield an INT32 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
- * 16x16->32 bit multiply can be used instead of a full 32x32 multiply.
- * For 12-bit samples, a full 32-bit multiplication will be needed.
- */
- #if BITS_IN_JSAMPLE == 8
- #define MULTIPLY( var, const ) MULTIPLY16C16( var, const )
- #else
- #define MULTIPLY( var, const ) ( ( var ) * ( const ) )
- #endif
- /* Dequantize a coefficient by multiplying it by the multiplier-table
- * entry; produce an int result. In this module, both inputs and result
- * are 16 bits or less, so either int or short multiply will work.
- */
- #define DEQUANTIZE( coef, quantval ) ( ( (ISLOW_MULT_TYPE) ( coef ) ) * ( quantval ) )
- /*
- * Perform dequantization and inverse DCT on one block of coefficients,
- * producing a reduced-size 4x4 output block.
- */
- GLOBAL void
- jpeg_idct_4x4( j_decompress_ptr cinfo, jpeg_component_info * compptr,
- JCOEFPTR coef_block,
- JSAMPARRAY output_buf, JDIMENSION output_col ) {
- INT32 tmp0, tmp2, tmp10, tmp12;
- INT32 z1, z2, z3, z4;
- JCOEFPTR inptr;
- ISLOW_MULT_TYPE * quantptr;
- int * wsptr;
- JSAMPROW outptr;
- JSAMPLE * range_limit = IDCT_range_limit( cinfo );
- int ctr;
- int workspace[DCTSIZE * 4];/* buffers data between passes */
- SHIFT_TEMPS
- /* Pass 1: process columns from input, store into work array. */
- inptr = coef_block;
- quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
- wsptr = workspace;
- for ( ctr = DCTSIZE; ctr > 0; inptr++, quantptr++, wsptr++, ctr-- ) {
- /* Don't bother to process column 4, because second pass won't use it */
- if ( ctr == DCTSIZE - 4 ) {
- continue;
- }
- if ( ( inptr[DCTSIZE * 1] | inptr[DCTSIZE * 2] | inptr[DCTSIZE * 3] |
- inptr[DCTSIZE * 5] | inptr[DCTSIZE * 6] | inptr[DCTSIZE * 7] ) == 0 ) {
- /* AC terms all zero; we need not examine term 4 for 4x4 output */
- int dcval = DEQUANTIZE( inptr[DCTSIZE * 0], quantptr[DCTSIZE * 0] ) << PASS1_BITS;
- wsptr[DCTSIZE * 0] = dcval;
- wsptr[DCTSIZE * 1] = dcval;
- wsptr[DCTSIZE * 2] = dcval;
- wsptr[DCTSIZE * 3] = dcval;
- continue;
- }
- /* Even part */
- tmp0 = DEQUANTIZE( inptr[DCTSIZE * 0], quantptr[DCTSIZE * 0] );
- tmp0 <<= ( CONST_BITS + 1 );
- z2 = DEQUANTIZE( inptr[DCTSIZE * 2], quantptr[DCTSIZE * 2] );
- z3 = DEQUANTIZE( inptr[DCTSIZE * 6], quantptr[DCTSIZE * 6] );
- tmp2 = MULTIPLY( z2, FIX_1_847759065 ) + MULTIPLY( z3, -FIX_0_765366865 );
- tmp10 = tmp0 + tmp2;
- tmp12 = tmp0 - tmp2;
- /* Odd part */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 7], quantptr[DCTSIZE * 7] );
- z2 = DEQUANTIZE( inptr[DCTSIZE * 5], quantptr[DCTSIZE * 5] );
- z3 = DEQUANTIZE( inptr[DCTSIZE * 3], quantptr[DCTSIZE * 3] );
- z4 = DEQUANTIZE( inptr[DCTSIZE * 1], quantptr[DCTSIZE * 1] );
- tmp0 = MULTIPLY( z1, -FIX_0_211164243 )/* sqrt(2) * (c3-c1) */
- + MULTIPLY( z2, FIX_1_451774981 )/* sqrt(2) * (c3+c7) */
- + MULTIPLY( z3, -FIX_2_172734803 )/* sqrt(2) * (-c1-c5) */
- + MULTIPLY( z4, FIX_1_061594337 );/* sqrt(2) * (c5+c7) */
- tmp2 = MULTIPLY( z1, -FIX_0_509795579 )/* sqrt(2) * (c7-c5) */
- + MULTIPLY( z2, -FIX_0_601344887 )/* sqrt(2) * (c5-c1) */
- + MULTIPLY( z3, FIX_0_899976223 )/* sqrt(2) * (c3-c7) */
- + MULTIPLY( z4, FIX_2_562915447 );/* sqrt(2) * (c1+c3) */
- /* Final output stage */
- wsptr[DCTSIZE * 0] = (int) DESCALE( tmp10 + tmp2, CONST_BITS - PASS1_BITS + 1 );
- wsptr[DCTSIZE * 3] = (int) DESCALE( tmp10 - tmp2, CONST_BITS - PASS1_BITS + 1 );
- wsptr[DCTSIZE * 1] = (int) DESCALE( tmp12 + tmp0, CONST_BITS - PASS1_BITS + 1 );
- wsptr[DCTSIZE * 2] = (int) DESCALE( tmp12 - tmp0, CONST_BITS - PASS1_BITS + 1 );
- }
- /* Pass 2: process 4 rows from work array, store into output array. */
- wsptr = workspace;
- for ( ctr = 0; ctr < 4; ctr++ ) {
- outptr = output_buf[ctr] + output_col;
- /* It's not clear whether a zero row test is worthwhile here ... */
- #ifndef NO_ZERO_ROW_TEST
- if ( ( wsptr[1] | wsptr[2] | wsptr[3] | wsptr[5] | wsptr[6] |
- wsptr[7] ) == 0 ) {
- /* AC terms all zero */
- JSAMPLE dcval = range_limit[(int) DESCALE( (INT32) wsptr[0], PASS1_BITS + 3 )
- & RANGE_MASK];
- outptr[0] = dcval;
- outptr[1] = dcval;
- outptr[2] = dcval;
- outptr[3] = dcval;
- wsptr += DCTSIZE;/* advance pointer to next row */
- continue;
- }
- #endif
- /* Even part */
- tmp0 = ( (INT32) wsptr[0] ) << ( CONST_BITS + 1 );
- tmp2 = MULTIPLY( (INT32) wsptr[2], FIX_1_847759065 )
- + MULTIPLY( (INT32) wsptr[6], -FIX_0_765366865 );
- tmp10 = tmp0 + tmp2;
- tmp12 = tmp0 - tmp2;
- /* Odd part */
- z1 = (INT32) wsptr[7];
- z2 = (INT32) wsptr[5];
- z3 = (INT32) wsptr[3];
- z4 = (INT32) wsptr[1];
- tmp0 = MULTIPLY( z1, -FIX_0_211164243 )/* sqrt(2) * (c3-c1) */
- + MULTIPLY( z2, FIX_1_451774981 )/* sqrt(2) * (c3+c7) */
- + MULTIPLY( z3, -FIX_2_172734803 )/* sqrt(2) * (-c1-c5) */
- + MULTIPLY( z4, FIX_1_061594337 );/* sqrt(2) * (c5+c7) */
- tmp2 = MULTIPLY( z1, -FIX_0_509795579 )/* sqrt(2) * (c7-c5) */
- + MULTIPLY( z2, -FIX_0_601344887 )/* sqrt(2) * (c5-c1) */
- + MULTIPLY( z3, FIX_0_899976223 )/* sqrt(2) * (c3-c7) */
- + MULTIPLY( z4, FIX_2_562915447 );/* sqrt(2) * (c1+c3) */
- /* Final output stage */
- outptr[0] = range_limit[(int) DESCALE( tmp10 + tmp2,
- CONST_BITS + PASS1_BITS + 3 + 1 )
- & RANGE_MASK];
- outptr[3] = range_limit[(int) DESCALE( tmp10 - tmp2,
- CONST_BITS + PASS1_BITS + 3 + 1 )
- & RANGE_MASK];
- outptr[1] = range_limit[(int) DESCALE( tmp12 + tmp0,
- CONST_BITS + PASS1_BITS + 3 + 1 )
- & RANGE_MASK];
- outptr[2] = range_limit[(int) DESCALE( tmp12 - tmp0,
- CONST_BITS + PASS1_BITS + 3 + 1 )
- & RANGE_MASK];
- wsptr += DCTSIZE; /* advance pointer to next row */
- }
- }
- /*
- * Perform dequantization and inverse DCT on one block of coefficients,
- * producing a reduced-size 2x2 output block.
- */
- GLOBAL void
- jpeg_idct_2x2( j_decompress_ptr cinfo, jpeg_component_info * compptr,
- JCOEFPTR coef_block,
- JSAMPARRAY output_buf, JDIMENSION output_col ) {
- INT32 tmp0, tmp10, z1;
- JCOEFPTR inptr;
- ISLOW_MULT_TYPE * quantptr;
- int * wsptr;
- JSAMPROW outptr;
- JSAMPLE * range_limit = IDCT_range_limit( cinfo );
- int ctr;
- int workspace[DCTSIZE * 2];/* buffers data between passes */
- SHIFT_TEMPS
- /* Pass 1: process columns from input, store into work array. */
- inptr = coef_block;
- quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
- wsptr = workspace;
- for ( ctr = DCTSIZE; ctr > 0; inptr++, quantptr++, wsptr++, ctr-- ) {
- /* Don't bother to process columns 2,4,6 */
- if ( ( ctr == DCTSIZE - 2 ) || ( ctr == DCTSIZE - 4 ) || ( ctr == DCTSIZE - 6 ) ) {
- continue;
- }
- if ( ( inptr[DCTSIZE * 1] | inptr[DCTSIZE * 3] |
- inptr[DCTSIZE * 5] | inptr[DCTSIZE * 7] ) == 0 ) {
- /* AC terms all zero; we need not examine terms 2,4,6 for 2x2 output */
- int dcval = DEQUANTIZE( inptr[DCTSIZE * 0], quantptr[DCTSIZE * 0] ) << PASS1_BITS;
- wsptr[DCTSIZE * 0] = dcval;
- wsptr[DCTSIZE * 1] = dcval;
- continue;
- }
- /* Even part */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 0], quantptr[DCTSIZE * 0] );
- tmp10 = z1 << ( CONST_BITS + 2 );
- /* Odd part */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 7], quantptr[DCTSIZE * 7] );
- tmp0 = MULTIPLY( z1, -FIX_0_720959822 );/* sqrt(2) * (c7-c5+c3-c1) */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 5], quantptr[DCTSIZE * 5] );
- tmp0 += MULTIPLY( z1, FIX_0_850430095 );/* sqrt(2) * (-c1+c3+c5+c7) */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 3], quantptr[DCTSIZE * 3] );
- tmp0 += MULTIPLY( z1, -FIX_1_272758580 );/* sqrt(2) * (-c1+c3-c5-c7) */
- z1 = DEQUANTIZE( inptr[DCTSIZE * 1], quantptr[DCTSIZE * 1] );
- tmp0 += MULTIPLY( z1, FIX_3_624509785 );/* sqrt(2) * (c1+c3+c5+c7) */
- /* Final output stage */
- wsptr[DCTSIZE * 0] = (int) DESCALE( tmp10 + tmp0, CONST_BITS - PASS1_BITS + 2 );
- wsptr[DCTSIZE * 1] = (int) DESCALE( tmp10 - tmp0, CONST_BITS - PASS1_BITS + 2 );
- }
- /* Pass 2: process 2 rows from work array, store into output array. */
- wsptr = workspace;
- for ( ctr = 0; ctr < 2; ctr++ ) {
- outptr = output_buf[ctr] + output_col;
- /* It's not clear whether a zero row test is worthwhile here ... */
- #ifndef NO_ZERO_ROW_TEST
- if ( ( wsptr[1] | wsptr[3] | wsptr[5] | wsptr[7] ) == 0 ) {
- /* AC terms all zero */
- JSAMPLE dcval = range_limit[(int) DESCALE( (INT32) wsptr[0], PASS1_BITS + 3 )
- & RANGE_MASK];
- outptr[0] = dcval;
- outptr[1] = dcval;
- wsptr += DCTSIZE;/* advance pointer to next row */
- continue;
- }
- #endif
- /* Even part */
- tmp10 = ( (INT32) wsptr[0] ) << ( CONST_BITS + 2 );
- /* Odd part */
- tmp0 = MULTIPLY( (INT32) wsptr[7], -FIX_0_720959822 )/* sqrt(2) * (c7-c5+c3-c1) */
- + MULTIPLY( (INT32) wsptr[5], FIX_0_850430095 )/* sqrt(2) * (-c1+c3+c5+c7) */
- + MULTIPLY( (INT32) wsptr[3], -FIX_1_272758580 )/* sqrt(2) * (-c1+c3-c5-c7) */
- + MULTIPLY( (INT32) wsptr[1], FIX_3_624509785 );/* sqrt(2) * (c1+c3+c5+c7) */
- /* Final output stage */
- outptr[0] = range_limit[(int) DESCALE( tmp10 + tmp0,
- CONST_BITS + PASS1_BITS + 3 + 2 )
- & RANGE_MASK];
- outptr[1] = range_limit[(int) DESCALE( tmp10 - tmp0,
- CONST_BITS + PASS1_BITS + 3 + 2 )
- & RANGE_MASK];
- wsptr += DCTSIZE; /* advance pointer to next row */
- }
- }
- /*
- * Perform dequantization and inverse DCT on one block of coefficients,
- * producing a reduced-size 1x1 output block.
- */
- GLOBAL void
- jpeg_idct_1x1( j_decompress_ptr cinfo, jpeg_component_info * compptr,
- JCOEFPTR coef_block,
- JSAMPARRAY output_buf, JDIMENSION output_col ) {
- int dcval;
- ISLOW_MULT_TYPE * quantptr;
- JSAMPLE * range_limit = IDCT_range_limit( cinfo );
- SHIFT_TEMPS
- /* We hardly need an inverse DCT routine for this: just take the
- * average pixel value, which is one-eighth of the DC coefficient.
- */
- quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
- dcval = DEQUANTIZE( coef_block[0], quantptr[0] );
- dcval = (int) DESCALE( (INT32) dcval, 3 );
- output_buf[0][output_col] = range_limit[dcval & RANGE_MASK];
- }
- #endif /* IDCT_SCALING_SUPPORTED */
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