/* idct.c, inverse fast discrete cosine transform                           *//* Copyright (C) 1996, MPEG Software Simulation Group. All Rights Reserved. *//* * Disclaimer of Warranty * * These software programs are available to the user without any license fee or * royalty on an "as is" basis.  The MPEG Software Simulation Group disclaims * any and all warranties, whether express, implied, or statuary, including any * implied warranties or merchantability or of fitness for a particular * purpose.  In no event shall the copyright-holder be liable for any * incidental, punitive, or consequential damages of any kind whatsoever * arising from the use of these programs. * * This disclaimer of warranty extends to the user of these programs and user's * customers, employees, agents, transferees, successors, and assigns. * * The MPEG Software Simulation Group does not represent or warrant that the * programs furnished hereunder are free of infringement of any third-party * patents. * * Commercial implementations of MPEG-1 and MPEG-2 video, including shareware, * are subject to royalty fees to patent holders.  Many of these patents are * general enough such that they are unavoidable regardless of implementation * design. * *//**********************************************************//* inverse two dimensional DCT, Chen-Wang algorithm       *//* (cf. IEEE ASSP-32, pp. 803-816, Aug. 1984)             *//* 32-bit integer arithmetic (8 bit coefficients)         *//* 11 mults, 29 adds per DCT                              *//*                                      sE, 18.8.91       *//**********************************************************//* coefficients extended to 12 bit for IEEE1180-1990      *//* compliance                           sE,  2.1.94       *//**********************************************************//* this code assumes >> to be a two's-complement arithmetic *//* right shift: (-2)>>1 == -1 , (-3)>>1 == -2               */#include "config.h"#define W1 2841 /* 2048*sqrt(2)*cos(1*pi/16) */#define W2 2676 /* 2048*sqrt(2)*cos(2*pi/16) */#define W3 2408 /* 2048*sqrt(2)*cos(3*pi/16) */#define W5 1609 /* 2048*sqrt(2)*cos(5*pi/16) */#define W6 1108 /* 2048*sqrt(2)*cos(6*pi/16) */#define W7 565  /* 2048*sqrt(2)*cos(7*pi/16) *//* global declarations */void Initialize_Fast_IDCT _ANSI_ARGS_((void));void Fast_IDCT _ANSI_ARGS_((short *block));/* private data */static short iclip[1024]; /* clipping table */static short *iclp;/* private prototypes */static void idctrow _ANSI_ARGS_((short *blk));static void idctcol _ANSI_ARGS_((short *blk));/* row (horizontal) IDCT * *           7                       pi         1 * dst[k] = sum c[l] * src[l] * cos( -- * ( k + - ) * l ) *          l=0                      8          2 * * where: c[0]    = 128 *        c[1..7] = 128*sqrt(2) */static void idctrow(blk)short *blk;{  int x0, x1, x2, x3, x4, x5, x6, x7, x8;  /* shortcut */  if (!((x1 = blk[4]<<11) | (x2 = blk[6]) | (x3 = blk[2]) |        (x4 = blk[1]) | (x5 = blk[7]) | (x6 = blk[5]) | (x7 = blk[3])))  {    blk[0]=blk[1]=blk[2]=blk[3]=blk[4]=blk[5]=blk[6]=blk[7]=blk[0]<<3;    return;  }  x0 = (blk[0]<<11) + 128; /* for proper rounding in the fourth stage */  /* first stage */  x8 = W7*(x4+x5);  x4 = x8 + (W1-W7)*x4;  x5 = x8 - (W1+W7)*x5;  x8 = W3*(x6+x7);  x6 = x8 - (W3-W5)*x6;  x7 = x8 - (W3+W5)*x7;    /* second stage */  x8 = x0 + x1;  x0 -= x1;  x1 = W6*(x3+x2);  x2 = x1 - (W2+W6)*x2;  x3 = x1 + (W2-W6)*x3;  x1 = x4 + x6;  x4 -= x6;  x6 = x5 + x7;  x5 -= x7;    /* third stage */  x7 = x8 + x3;  x8 -= x3;  x3 = x0 + x2;  x0 -= x2;  x2 = (181*(x4+x5)+128)>>8;  x4 = (181*(x4-x5)+128)>>8;    /* fourth stage */  blk[0] = (x7+x1)>>8;  blk[1] = (x3+x2)>>8;  blk[2] = (x0+x4)>>8;  blk[3] = (x8+x6)>>8;  blk[4] = (x8-x6)>>8;  blk[5] = (x0-x4)>>8;  blk[6] = (x3-x2)>>8;  blk[7] = (x7-x1)>>8;}/* column (vertical) IDCT * *             7                         pi         1 * dst[8*k] = sum c[l] * src[8*l] * cos( -- * ( k + - ) * l ) *            l=0                        8          2 * * where: c[0]    = 1/1024 *        c[1..7] = (1/1024)*sqrt(2) */static void idctcol(blk)short *blk;{  int x0, x1, x2, x3, x4, x5, x6, x7, x8;  /* shortcut */  if (!((x1 = (blk[8*4]<<8)) | (x2 = blk[8*6]) | (x3 = blk[8*2]) |        (x4 = blk[8*1]) | (x5 = blk[8*7]) | (x6 = blk[8*5]) | (x7 = blk[8*3])))  {    blk[8*0]=blk[8*1]=blk[8*2]=blk[8*3]=blk[8*4]=blk[8*5]=blk[8*6]=blk[8*7]=      iclp[(blk[8*0]+32)>>6];    return;  }  x0 = (blk[8*0]<<8) + 8192;  /* first stage */  x8 = W7*(x4+x5) + 4;  x4 = (x8+(W1-W7)*x4)>>3;  x5 = (x8-(W1+W7)*x5)>>3;  x8 = W3*(x6+x7) + 4;  x6 = (x8-(W3-W5)*x6)>>3;  x7 = (x8-(W3+W5)*x7)>>3;    /* second stage */  x8 = x0 + x1;  x0 -= x1;  x1 = W6*(x3+x2) + 4;  x2 = (x1-(W2+W6)*x2)>>3;  x3 = (x1+(W2-W6)*x3)>>3;  x1 = x4 + x6;  x4 -= x6;  x6 = x5 + x7;  x5 -= x7;    /* third stage */  x7 = x8 + x3;  x8 -= x3;  x3 = x0 + x2;  x0 -= x2;  x2 = (181*(x4+x5)+128)>>8;  x4 = (181*(x4-x5)+128)>>8;    /* fourth stage */  blk[8*0] = iclp[(x7+x1)>>14];  blk[8*1] = iclp[(x3+x2)>>14];  blk[8*2] = iclp[(x0+x4)>>14];  blk[8*3] = iclp[(x8+x6)>>14];  blk[8*4] = iclp[(x8-x6)>>14];  blk[8*5] = iclp[(x0-x4)>>14];  blk[8*6] = iclp[(x3-x2)>>14];  blk[8*7] = iclp[(x7-x1)>>14];}/* two dimensional inverse discrete cosine transform */void Fast_IDCT(block)short *block;{  int i;  for (i=0; i<8; i++)    idctrow(block+8*i);  for (i=0; i<8; i++)    idctcol(block+i);}void Initialize_Fast_IDCT(){  int i;  iclp = iclip+512;  for (i= -512; i<512; i++)    iclp[i] = (i<-256) ? -256 : ((i>255) ? 255 : i);}