/* 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 */ /**********************************************************/ #ifdef HAVE_CONFIG_H #include "config.h" #endif /* this code assumes >> to be a two's-complement arithmetic */ /* right shift: (-2)>>1 == -1 , (-3)>>1 == -2 */ #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) */ #include "dct.h" /* private data */ static short iclip[1024]; /* clipping table */ static short *iclp; /* private prototypes */ static void idctrow (short *blk); static void idctcol (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 gst_idct_fast_int_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 gst_idct_init_fast_int_idct () { int i; iclp = iclip + 512; for (i = -512; i < 512; i++) iclp[i] = (i < -256) ? -256 : ((i > 255) ? 255 : i); }