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📄 jidctflt.c

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/* * jidctflt.c * * Copyright (C) 1994-1998, Thomas G. Lane. * 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) 1991-1998, 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 a floating-point implementation of the * inverse DCT (Discrete Cosine Transform).  In the IJG code, this routine * must also perform dequantization of the input coefficients. * * This implementation should be more accurate than either of the integer * IDCT implementations.  However, it may not give the same results on all * machines because of differences in roundoff behavior.  Speed will depend * on the hardware's floating point capacity. * * A 2-D IDCT can be done by 1-D IDCT on each column followed by 1-D IDCT * on each row (or vice versa, but it's more convenient to emit a row at * a time).  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 a fixed-point * implementation, accuracy is lost due to imprecise representation of the * scaled quantization values.  However, that problem does not arise if * we use floating point arithmetic. */#include "stdint.h"#include "tinyjpeg-internal.h"#define FAST_FLOAT float#define DCTSIZE	   8#define DCTSIZE2   (DCTSIZE*DCTSIZE)#define DEQUANTIZE(coef,quantval)  (((FAST_FLOAT) (coef)) * (quantval))#if 1 && defined(__GNUC__) && (defined(__i686__) || defined(__x86_64__))static inline unsigned char descale_and_clamp(int x, int shift){  __asm__ (      "add %3,%1\n"      "\tsar %2,%1\n"      "\tsub $-128,%1\n"      "\tcmovl %5,%1\n"	/* Use the sub to compare to 0 */      "\tcmpl %4,%1\n"       "\tcmovg %4,%1\n"      : "=r"(x)       : "0"(x), "Ir"(shift), "ir"(1UL<<(shift-1)), "r" (0xff), "r" (0)      );  return x;}#elsestatic /*inline*/ unsigned char descale_and_clamp(int x, int shift){  x += (1UL<<(shift-1));  if (x<0)    x = (x >> shift) | ((~(0UL)) << (32-(shift)));  else    x >>= shift;  x += 128;  if (x>255)    return 255;  else if (x<0)    return 0;  else     return x;}#endif/* * Perform dequantization and inverse DCT on one block of coefficients. */voidtinyjpeg_idct_float (struct component *compptr, uint8_t *output_buf, int stride){  FAST_FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;  FAST_FLOAT tmp10, tmp11, tmp12, tmp13;  FAST_FLOAT z5, z10, z11, z12, z13;  int16_t *inptr;  FAST_FLOAT *quantptr;  FAST_FLOAT *wsptr;  uint8_t *outptr;  int ctr;  FAST_FLOAT workspace[DCTSIZE2]; /* buffers data between passes */  /* Pass 1: process columns from input, store into work array. */  inptr = compptr->DCT;  quantptr = compptr->Q_table;  wsptr = workspace;  for (ctr = DCTSIZE; ctr > 0; ctr--) {    /* 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 column 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     * column DCT calculations can be simplified this way.     */        if (inptr[DCTSIZE*1] == 0 && inptr[DCTSIZE*2] == 0 &&	inptr[DCTSIZE*3] == 0 && inptr[DCTSIZE*4] == 0 &&	inptr[DCTSIZE*5] == 0 && inptr[DCTSIZE*6] == 0 &&	inptr[DCTSIZE*7] == 0) {      /* AC terms all zero */      FAST_FLOAT dcval = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);            wsptr[DCTSIZE*0] = dcval;      wsptr[DCTSIZE*1] = dcval;      wsptr[DCTSIZE*2] = dcval;      wsptr[DCTSIZE*3] = dcval;      wsptr[DCTSIZE*4] = dcval;      wsptr[DCTSIZE*5] = dcval;      wsptr[DCTSIZE*6] = dcval;      wsptr[DCTSIZE*7] = dcval;            inptr++;			/* advance pointers to next column */      quantptr++;      wsptr++;      continue;    }        /* Even part */    tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);    tmp1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);    tmp2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);    tmp3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);    tmp10 = tmp0 + tmp2;	/* phase 3 */    tmp11 = tmp0 - tmp2;    tmp13 = tmp1 + tmp3;	/* phases 5-3 */    tmp12 = (tmp1 - tmp3) * ((FAST_FLOAT) 1.414213562) - tmp13; /* 2*c4 */    tmp0 = tmp10 + tmp13;	/* phase 2 */    tmp3 = tmp10 - tmp13;    tmp1 = tmp11 + tmp12;    tmp2 = tmp11 - tmp12;        /* Odd part */    tmp4 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);    tmp5 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);    tmp6 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);    tmp7 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);    z13 = tmp6 + tmp5;		/* phase 6 */    z10 = tmp6 - tmp5;    z11 = tmp4 + tmp7;    z12 = tmp4 - tmp7;    tmp7 = z11 + z13;		/* phase 5 */    tmp11 = (z11 - z13) * ((FAST_FLOAT) 1.414213562); /* 2*c4 */    z5 = (z10 + z12) * ((FAST_FLOAT) 1.847759065); /* 2*c2 */    tmp10 = ((FAST_FLOAT) 1.082392200) * z12 - z5; /* 2*(c2-c6) */    tmp12 = ((FAST_FLOAT) -2.613125930) * z10 + z5; /* -2*(c2+c6) */    tmp6 = tmp12 - tmp7;	/* phase 2 */    tmp5 = tmp11 - tmp6;    tmp4 = tmp10 + tmp5;    wsptr[DCTSIZE*0] = tmp0 + tmp7;    wsptr[DCTSIZE*7] = tmp0 - tmp7;    wsptr[DCTSIZE*1] = tmp1 + tmp6;    wsptr[DCTSIZE*6] = tmp1 - tmp6;    wsptr[DCTSIZE*2] = tmp2 + tmp5;    wsptr[DCTSIZE*5] = tmp2 - tmp5;    wsptr[DCTSIZE*4] = tmp3 + tmp4;    wsptr[DCTSIZE*3] = tmp3 - tmp4;    inptr++;			/* advance pointers to next column */    quantptr++;    wsptr++;  }    /* Pass 2: process rows from work array, store into output array. */  /* Note that we must descale the results by a factor of 8 == 2**3. */  wsptr = workspace;  outptr = output_buf;  for (ctr = 0; ctr < DCTSIZE; ctr++) {    /* Rows of zeroes can be exploited in the same way as we did with columns.     * However, the column calculation has created many nonzero AC terms, so     * the simplification applies less often (typically 5% to 10% of the time).     * And testing floats for zero is relatively expensive, so we don't bother.     */        /* Even part */    tmp10 = wsptr[0] + wsptr[4];    tmp11 = wsptr[0] - wsptr[4];    tmp13 = wsptr[2] + wsptr[6];    tmp12 = (wsptr[2] - wsptr[6]) * ((FAST_FLOAT) 1.414213562) - tmp13;    tmp0 = tmp10 + tmp13;    tmp3 = tmp10 - tmp13;    tmp1 = tmp11 + tmp12;    tmp2 = tmp11 - tmp12;    /* Odd part */    z13 = wsptr[5] + wsptr[3];    z10 = wsptr[5] - wsptr[3];    z11 = wsptr[1] + wsptr[7];    z12 = wsptr[1] - wsptr[7];    tmp7 = z11 + z13;    tmp11 = (z11 - z13) * ((FAST_FLOAT) 1.414213562);    z5 = (z10 + z12) * ((FAST_FLOAT) 1.847759065); /* 2*c2 */    tmp10 = ((FAST_FLOAT) 1.082392200) * z12 - z5; /* 2*(c2-c6) */    tmp12 = ((FAST_FLOAT) -2.613125930) * z10 + z5; /* -2*(c2+c6) */    tmp6 = tmp12 - tmp7;    tmp5 = tmp11 - tmp6;    tmp4 = tmp10 + tmp5;    /* Final output stage: scale down by a factor of 8 and range-limit */    outptr[0] = descale_and_clamp((int)(tmp0 + tmp7), 3);    outptr[7] = descale_and_clamp((int)(tmp0 - tmp7), 3);    outptr[1] = descale_and_clamp((int)(tmp1 + tmp6), 3);    outptr[6] = descale_and_clamp((int)(tmp1 - tmp6), 3);    outptr[2] = descale_and_clamp((int)(tmp2 + tmp5), 3);    outptr[5] = descale_and_clamp((int)(tmp2 - tmp5), 3);    outptr[4] = descale_and_clamp((int)(tmp3 + tmp4), 3);    outptr[3] = descale_and_clamp((int)(tmp3 - tmp4), 3);        wsptr += DCTSIZE;		/* advance pointer to next row */    outptr += stride;  }}

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