/MicroFrameworkPK_v4_2/CLR/Graphics/Jpeg/jfdctfst.c

/*

 * jfdctfst.c

 *

 * Copyright (C) 1994-1996, 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 a fast, not so accurate integer implementation of the

 * forward DCT (Discrete Cosine Transform).

 *

 * A 2-D DCT can be done by 1-D DCT on each row followed by 1-D DCT

 * 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.

 *

 * This implementation is based on Arai, Agui, and Nakajima's algorithm for

 * scaled DCT.  Their original paper (Trans. IEICE E-71(11):1095) is in

 * Japanese, but the algorithm is described in the Pennebaker & Mitchell

 * JPEG textbook (see REFERENCES section in file README).  The following code

 * is based directly on figure 4-8 in P&M.

 * While an 8-point DCT cannot be done in less than 11 multiplies, it is

 * possible to arrange the computation so that many of the multiplies are

 * simple scalings of the final outputs.  These multiplies can then be

 * folded into the multiplications or divisions by the JPEG quantization

 * table entries.  The AA&N method leaves only 5 multiplies and 29 adds

 * to be done in the DCT itself.

 * The primary disadvantage of this method is that with fixed-point math,

 * accuracy is lost due to imprecise representation of the scaled

 * quantization values.  The smaller the quantization table entry, the less

 * precise the scaled value, so this implementation does worse with high-

 * quality-setting files than with low-quality ones.

 */



#define JPEG_INTERNALS

#include "jinclude.h"

#include "jpeglib.h"

#include "jdct.h"		/* Private declarations for DCT subsystem */



#ifdef DCT_IFAST_SUPPORTED





/*

 * This module is specialized to the case DCTSIZE = 8.

 */



#if DCTSIZE != 8

  Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */

#endif





/* Scaling decisions are generally the same as in the LL&M algorithm;

 * see jfdctint.c for more details.  However, we choose to descale

 * (right shift) multiplication products as soon as they are formed,

 * rather than carrying additional fractional bits into subsequent additions.

 * This compromises accuracy slightly, but it lets us save a few shifts.

 * More importantly, 16-bit arithmetic is then adequate (for 8-bit samples)

 * everywhere except in the multiplications proper; this saves a good deal

 * of work on 16-bit-int machines.

 *

 * Again to save a few shifts, the intermediate results between pass 1 and

 * pass 2 are not upscaled, but are represented only to integral precision.

 *

 * A final compromise is to represent the multiplicative constants to only

 * 8 fractional bits, rather than 13.  This saves some shifting work on some

 * machines, and may also reduce the cost of multiplication (since there

 * are fewer one-bits in the constants).

 */



#define CONST_BITS  8





/* 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 == 8

#define FIX_0_382683433  ((INT32)   98)		/* FIX(0.382683433) */

#define FIX_0_541196100  ((INT32)  139)		/* FIX(0.541196100) */

#define FIX_0_707106781  ((INT32)  181)		/* FIX(0.707106781) */

#define FIX_1_306562965  ((INT32)  334)		/* FIX(1.306562965) */

#else

#define FIX_0_382683433  FIX(0.382683433)

#define FIX_0_541196100  FIX(0.541196100)

#define FIX_0_707106781  FIX(0.707106781)

#define FIX_1_306562965  FIX(1.306562965)

#endif





/* We can gain a little more speed, with a further compromise in accuracy,

 * by omitting the addition in a descaling shift.  This yields an incorrectly

 * rounded result half the time...

 */



#ifndef USE_ACCURATE_ROUNDING

#undef DESCALE

#define DESCALE(x,n)  RIGHT_SHIFT(x, n)

#endif





/* Multiply a DCTELEM variable by an INT32 constant, and immediately

 * descale to yield a DCTELEM result.

 */



#define MULTIPLY(var,const)  ((DCTELEM) DESCALE((var) * (const), CONST_BITS))





/*

 * Perform the forward DCT on one block of samples.

 */



GLOBAL(void)

jpeg_fdct_ifast (DCTELEM * data)

{

  DCTELEM tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;

  DCTELEM tmp10, tmp11, tmp12, tmp13;

  DCTELEM z1, z2, z3, z4, z5, z11, z13;

  DCTELEM *dataptr;

  int ctr;

  SHIFT_TEMPS



  /* Pass 1: process rows. */



  dataptr = data;

  for (ctr = DCTSIZE-1; ctr >= 0; ctr--) {

    tmp0 = (DCTELEM)(dataptr[0] + dataptr[7]);

    tmp7 = (DCTELEM)(dataptr[0] - dataptr[7]);

    tmp1 = (DCTELEM)(dataptr[1] + dataptr[6]);

    tmp6 = (DCTELEM)(dataptr[1] - dataptr[6]);

    tmp2 = (DCTELEM)(dataptr[2] + dataptr[5]);

    tmp5 = (DCTELEM)(dataptr[2] - dataptr[5]);

    tmp3 = (DCTELEM)(dataptr[3] + dataptr[4]);

    tmp4 = (DCTELEM)(dataptr[3] - dataptr[4]);

    

    /* Even part */

    

    tmp10 = (DCTELEM)(tmp0 + tmp3);	/* phase 2 */

    tmp13 = (DCTELEM)(tmp0 - tmp3);

    tmp11 = (DCTELEM)(tmp1 + tmp2);

    tmp12 = (DCTELEM)(tmp1 - tmp2);

    

    dataptr[0] = (DCTELEM)(tmp10 + tmp11); /* phase 3 */

    dataptr[4] = (DCTELEM)(tmp10 - tmp11);

    

    z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781); /* c4 */

    dataptr[2] = (DCTELEM)(tmp13 + z1);	/* phase 5 */

    dataptr[6] = (DCTELEM)(tmp13 - z1);

    

    /* Odd part */



    tmp10 = (DCTELEM)(tmp4 + tmp5);	/* phase 2 */

    tmp11 = (DCTELEM)(tmp5 + tmp6);

    tmp12 = (DCTELEM)(tmp6 + tmp7);



    /* The rotator is modified from fig 4-8 to avoid extra negations. */

    z5 = MULTIPLY(tmp10 - tmp12, FIX_0_382683433); /* c6 */

    z2 = (DCTELEM)(MULTIPLY(tmp10, FIX_0_541196100) + z5); /* c2-c6 */

    z4 = (DCTELEM)(MULTIPLY(tmp12, FIX_1_306562965) + z5); /* c2+c6 */

    z3 = MULTIPLY(tmp11, FIX_0_707106781); /* c4 */



    z11 = (DCTELEM)(tmp7 + z3);		/* phase 5 */

    z13 = (DCTELEM)(tmp7 - z3);



    dataptr[5] = (DCTELEM)(z13 + z2);	/* phase 6 */

    dataptr[3] = (DCTELEM)(z13 - z2);

    dataptr[1] = (DCTELEM)(z11 + z4);

    dataptr[7] = (DCTELEM)(z11 - z4);



    dataptr += DCTSIZE;		/* advance pointer to next row */

  }



  /* Pass 2: process columns. */



  dataptr = data;

  for (ctr = DCTSIZE-1; ctr >= 0; ctr--) {

    tmp0 = (DCTELEM)(dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7]);

    tmp7 = (DCTELEM)(dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]);

    tmp1 = (DCTELEM)(dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6]);

    tmp6 = (DCTELEM)(dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]);

    tmp2 = (DCTELEM)(dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5]);

    tmp5 = (DCTELEM)(dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]);

    tmp3 = (DCTELEM)(dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4]);

    tmp4 = (DCTELEM)(dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]);

    

    /* Even part */

    

    tmp10 = (DCTELEM)(tmp0 + tmp3);	/* phase 2 */

    tmp13 = (DCTELEM)(tmp0 - tmp3);

    tmp11 = (DCTELEM)(tmp1 + tmp2);

    tmp12 = (DCTELEM)(tmp1 - tmp2);

    

    dataptr[DCTSIZE*0] = (DCTELEM)(tmp10 + tmp11); /* phase 3 */

    dataptr[DCTSIZE*4] = (DCTELEM)(tmp10 - tmp11);

    

    z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781); /* c4 */

    dataptr[DCTSIZE*2] = (DCTELEM)(tmp13 + z1); /* phase 5 */

    dataptr[DCTSIZE*6] = (DCTELEM)(tmp13 - z1);

    

    /* Odd part */



    tmp10 = (DCTELEM)(tmp4 + tmp5);	/* phase 2 */

    tmp11 = (DCTELEM)(tmp5 + tmp6);

    tmp12 = (DCTELEM)(tmp6 + tmp7);



    /* The rotator is modified from fig 4-8 to avoid extra negations. */

    z5 = MULTIPLY(tmp10 - tmp12, FIX_0_382683433); /* c6 */

    z2 = (DCTELEM)(MULTIPLY(tmp10, FIX_0_541196100) + z5); /* c2-c6 */

    z4 = (DCTELEM)(MULTIPLY(tmp12, FIX_1_306562965) + z5); /* c2+c6 */

    z3 = MULTIPLY(tmp11, FIX_0_707106781); /* c4 */



    z11 = (DCTELEM)(tmp7 + z3);		/* phase 5 */

    z13 = (DCTELEM)(tmp7 - z3);



    dataptr[DCTSIZE*5] = (DCTELEM)(z13 + z2); /* phase 6 */

    dataptr[DCTSIZE*3] = (DCTELEM)(z13 - z2);

    dataptr[DCTSIZE*1] = (DCTELEM)(z11 + z4);

    dataptr[DCTSIZE*7] = (DCTELEM)(z11 - z4);



    dataptr++;			/* advance pointer to next column */

  }

}



#endif /* DCT_IFAST_SUPPORTED */