media/libjpeg/jidctint.c

changeset 0
6474c204b198
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/media/libjpeg/jidctint.c	Wed Dec 31 06:09:35 2014 +0100
     1.3 @@ -0,0 +1,2623 @@
     1.4 +/*
     1.5 + * jidctint.c
     1.6 + *
     1.7 + * Copyright (C) 1991-1998, Thomas G. Lane.
     1.8 + * Modification developed 2002-2009 by Guido Vollbeding.
     1.9 + * This file is part of the Independent JPEG Group's software.
    1.10 + * For conditions of distribution and use, see the accompanying README file.
    1.11 + *
    1.12 + * This file contains a slow-but-accurate integer implementation of the
    1.13 + * inverse DCT (Discrete Cosine Transform).  In the IJG code, this routine
    1.14 + * must also perform dequantization of the input coefficients.
    1.15 + *
    1.16 + * A 2-D IDCT can be done by 1-D IDCT on each column followed by 1-D IDCT
    1.17 + * on each row (or vice versa, but it's more convenient to emit a row at
    1.18 + * a time).  Direct algorithms are also available, but they are much more
    1.19 + * complex and seem not to be any faster when reduced to code.
    1.20 + *
    1.21 + * This implementation is based on an algorithm described in
    1.22 + *   C. Loeffler, A. Ligtenberg and G. Moschytz, "Practical Fast 1-D DCT
    1.23 + *   Algorithms with 11 Multiplications", Proc. Int'l. Conf. on Acoustics,
    1.24 + *   Speech, and Signal Processing 1989 (ICASSP '89), pp. 988-991.
    1.25 + * The primary algorithm described there uses 11 multiplies and 29 adds.
    1.26 + * We use their alternate method with 12 multiplies and 32 adds.
    1.27 + * The advantage of this method is that no data path contains more than one
    1.28 + * multiplication; this allows a very simple and accurate implementation in
    1.29 + * scaled fixed-point arithmetic, with a minimal number of shifts.
    1.30 + *
    1.31 + * We also provide IDCT routines with various output sample block sizes for
    1.32 + * direct resolution reduction or enlargement without additional resampling:
    1.33 + * NxN (N=1...16) pixels for one 8x8 input DCT block.
    1.34 + *
    1.35 + * For N<8 we simply take the corresponding low-frequency coefficients of
    1.36 + * the 8x8 input DCT block and apply an NxN point IDCT on the sub-block
    1.37 + * to yield the downscaled outputs.
    1.38 + * This can be seen as direct low-pass downsampling from the DCT domain
    1.39 + * point of view rather than the usual spatial domain point of view,
    1.40 + * yielding significant computational savings and results at least
    1.41 + * as good as common bilinear (averaging) spatial downsampling.
    1.42 + *
    1.43 + * For N>8 we apply a partial NxN IDCT on the 8 input coefficients as
    1.44 + * lower frequencies and higher frequencies assumed to be zero.
    1.45 + * It turns out that the computational effort is similar to the 8x8 IDCT
    1.46 + * regarding the output size.
    1.47 + * Furthermore, the scaling and descaling is the same for all IDCT sizes.
    1.48 + *
    1.49 + * CAUTION: We rely on the FIX() macro except for the N=1,2,4,8 cases
    1.50 + * since there would be too many additional constants to pre-calculate.
    1.51 + */
    1.52 +
    1.53 +#define JPEG_INTERNALS
    1.54 +#include "jinclude.h"
    1.55 +#include "jpeglib.h"
    1.56 +#include "jdct.h"		/* Private declarations for DCT subsystem */
    1.57 +
    1.58 +#ifdef DCT_ISLOW_SUPPORTED
    1.59 +
    1.60 +
    1.61 +/*
    1.62 + * This module is specialized to the case DCTSIZE = 8.
    1.63 + */
    1.64 +
    1.65 +#if DCTSIZE != 8
    1.66 +  Sorry, this code only copes with 8x8 DCT blocks. /* deliberate syntax err */
    1.67 +#endif
    1.68 +
    1.69 +
    1.70 +/*
    1.71 + * The poop on this scaling stuff is as follows:
    1.72 + *
    1.73 + * Each 1-D IDCT step produces outputs which are a factor of sqrt(N)
    1.74 + * larger than the true IDCT outputs.  The final outputs are therefore
    1.75 + * a factor of N larger than desired; since N=8 this can be cured by
    1.76 + * a simple right shift at the end of the algorithm.  The advantage of
    1.77 + * this arrangement is that we save two multiplications per 1-D IDCT,
    1.78 + * because the y0 and y4 inputs need not be divided by sqrt(N).
    1.79 + *
    1.80 + * We have to do addition and subtraction of the integer inputs, which
    1.81 + * is no problem, and multiplication by fractional constants, which is
    1.82 + * a problem to do in integer arithmetic.  We multiply all the constants
    1.83 + * by CONST_SCALE and convert them to integer constants (thus retaining
    1.84 + * CONST_BITS bits of precision in the constants).  After doing a
    1.85 + * multiplication we have to divide the product by CONST_SCALE, with proper
    1.86 + * rounding, to produce the correct output.  This division can be done
    1.87 + * cheaply as a right shift of CONST_BITS bits.  We postpone shifting
    1.88 + * as long as possible so that partial sums can be added together with
    1.89 + * full fractional precision.
    1.90 + *
    1.91 + * The outputs of the first pass are scaled up by PASS1_BITS bits so that
    1.92 + * they are represented to better-than-integral precision.  These outputs
    1.93 + * require BITS_IN_JSAMPLE + PASS1_BITS + 3 bits; this fits in a 16-bit word
    1.94 + * with the recommended scaling.  (To scale up 12-bit sample data further, an
    1.95 + * intermediate INT32 array would be needed.)
    1.96 + *
    1.97 + * To avoid overflow of the 32-bit intermediate results in pass 2, we must
    1.98 + * have BITS_IN_JSAMPLE + CONST_BITS + PASS1_BITS <= 26.  Error analysis
    1.99 + * shows that the values given below are the most effective.
   1.100 + */
   1.101 +
   1.102 +#if BITS_IN_JSAMPLE == 8
   1.103 +#define CONST_BITS  13
   1.104 +#define PASS1_BITS  2
   1.105 +#else
   1.106 +#define CONST_BITS  13
   1.107 +#define PASS1_BITS  1		/* lose a little precision to avoid overflow */
   1.108 +#endif
   1.109 +
   1.110 +/* Some C compilers fail to reduce "FIX(constant)" at compile time, thus
   1.111 + * causing a lot of useless floating-point operations at run time.
   1.112 + * To get around this we use the following pre-calculated constants.
   1.113 + * If you change CONST_BITS you may want to add appropriate values.
   1.114 + * (With a reasonable C compiler, you can just rely on the FIX() macro...)
   1.115 + */
   1.116 +
   1.117 +#if CONST_BITS == 13
   1.118 +#define FIX_0_298631336  ((INT32)  2446)	/* FIX(0.298631336) */
   1.119 +#define FIX_0_390180644  ((INT32)  3196)	/* FIX(0.390180644) */
   1.120 +#define FIX_0_541196100  ((INT32)  4433)	/* FIX(0.541196100) */
   1.121 +#define FIX_0_765366865  ((INT32)  6270)	/* FIX(0.765366865) */
   1.122 +#define FIX_0_899976223  ((INT32)  7373)	/* FIX(0.899976223) */
   1.123 +#define FIX_1_175875602  ((INT32)  9633)	/* FIX(1.175875602) */
   1.124 +#define FIX_1_501321110  ((INT32)  12299)	/* FIX(1.501321110) */
   1.125 +#define FIX_1_847759065  ((INT32)  15137)	/* FIX(1.847759065) */
   1.126 +#define FIX_1_961570560  ((INT32)  16069)	/* FIX(1.961570560) */
   1.127 +#define FIX_2_053119869  ((INT32)  16819)	/* FIX(2.053119869) */
   1.128 +#define FIX_2_562915447  ((INT32)  20995)	/* FIX(2.562915447) */
   1.129 +#define FIX_3_072711026  ((INT32)  25172)	/* FIX(3.072711026) */
   1.130 +#else
   1.131 +#define FIX_0_298631336  FIX(0.298631336)
   1.132 +#define FIX_0_390180644  FIX(0.390180644)
   1.133 +#define FIX_0_541196100  FIX(0.541196100)
   1.134 +#define FIX_0_765366865  FIX(0.765366865)
   1.135 +#define FIX_0_899976223  FIX(0.899976223)
   1.136 +#define FIX_1_175875602  FIX(1.175875602)
   1.137 +#define FIX_1_501321110  FIX(1.501321110)
   1.138 +#define FIX_1_847759065  FIX(1.847759065)
   1.139 +#define FIX_1_961570560  FIX(1.961570560)
   1.140 +#define FIX_2_053119869  FIX(2.053119869)
   1.141 +#define FIX_2_562915447  FIX(2.562915447)
   1.142 +#define FIX_3_072711026  FIX(3.072711026)
   1.143 +#endif
   1.144 +
   1.145 +
   1.146 +/* Multiply an INT32 variable by an INT32 constant to yield an INT32 result.
   1.147 + * For 8-bit samples with the recommended scaling, all the variable
   1.148 + * and constant values involved are no more than 16 bits wide, so a
   1.149 + * 16x16->32 bit multiply can be used instead of a full 32x32 multiply.
   1.150 + * For 12-bit samples, a full 32-bit multiplication will be needed.
   1.151 + */
   1.152 +
   1.153 +#if BITS_IN_JSAMPLE == 8
   1.154 +#define MULTIPLY(var,const)  MULTIPLY16C16(var,const)
   1.155 +#else
   1.156 +#define MULTIPLY(var,const)  ((var) * (const))
   1.157 +#endif
   1.158 +
   1.159 +
   1.160 +/* Dequantize a coefficient by multiplying it by the multiplier-table
   1.161 + * entry; produce an int result.  In this module, both inputs and result
   1.162 + * are 16 bits or less, so either int or short multiply will work.
   1.163 + */
   1.164 +
   1.165 +#define DEQUANTIZE(coef,quantval)  (((ISLOW_MULT_TYPE) (coef)) * (quantval))
   1.166 +
   1.167 +
   1.168 +/*
   1.169 + * Perform dequantization and inverse DCT on one block of coefficients.
   1.170 + */
   1.171 +
   1.172 +GLOBAL(void)
   1.173 +jpeg_idct_islow (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.174 +		 JCOEFPTR coef_block,
   1.175 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
   1.176 +{
   1.177 +  INT32 tmp0, tmp1, tmp2, tmp3;
   1.178 +  INT32 tmp10, tmp11, tmp12, tmp13;
   1.179 +  INT32 z1, z2, z3, z4, z5;
   1.180 +  JCOEFPTR inptr;
   1.181 +  ISLOW_MULT_TYPE * quantptr;
   1.182 +  int * wsptr;
   1.183 +  JSAMPROW outptr;
   1.184 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.185 +  int ctr;
   1.186 +  int workspace[DCTSIZE2];	/* buffers data between passes */
   1.187 +  SHIFT_TEMPS
   1.188 +
   1.189 +  /* Pass 1: process columns from input, store into work array. */
   1.190 +  /* Note results are scaled up by sqrt(8) compared to a true IDCT; */
   1.191 +  /* furthermore, we scale the results by 2**PASS1_BITS. */
   1.192 +
   1.193 +  inptr = coef_block;
   1.194 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.195 +  wsptr = workspace;
   1.196 +  for (ctr = DCTSIZE; ctr > 0; ctr--) {
   1.197 +    /* Due to quantization, we will usually find that many of the input
   1.198 +     * coefficients are zero, especially the AC terms.  We can exploit this
   1.199 +     * by short-circuiting the IDCT calculation for any column in which all
   1.200 +     * the AC terms are zero.  In that case each output is equal to the
   1.201 +     * DC coefficient (with scale factor as needed).
   1.202 +     * With typical images and quantization tables, half or more of the
   1.203 +     * column DCT calculations can be simplified this way.
   1.204 +     */
   1.205 +    
   1.206 +    if (inptr[DCTSIZE*1] == 0 && inptr[DCTSIZE*2] == 0 &&
   1.207 +	inptr[DCTSIZE*3] == 0 && inptr[DCTSIZE*4] == 0 &&
   1.208 +	inptr[DCTSIZE*5] == 0 && inptr[DCTSIZE*6] == 0 &&
   1.209 +	inptr[DCTSIZE*7] == 0) {
   1.210 +      /* AC terms all zero */
   1.211 +      int dcval = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]) << PASS1_BITS;
   1.212 +      
   1.213 +      wsptr[DCTSIZE*0] = dcval;
   1.214 +      wsptr[DCTSIZE*1] = dcval;
   1.215 +      wsptr[DCTSIZE*2] = dcval;
   1.216 +      wsptr[DCTSIZE*3] = dcval;
   1.217 +      wsptr[DCTSIZE*4] = dcval;
   1.218 +      wsptr[DCTSIZE*5] = dcval;
   1.219 +      wsptr[DCTSIZE*6] = dcval;
   1.220 +      wsptr[DCTSIZE*7] = dcval;
   1.221 +      
   1.222 +      inptr++;			/* advance pointers to next column */
   1.223 +      quantptr++;
   1.224 +      wsptr++;
   1.225 +      continue;
   1.226 +    }
   1.227 +    
   1.228 +    /* Even part: reverse the even part of the forward DCT. */
   1.229 +    /* The rotator is sqrt(2)*c(-6). */
   1.230 +    
   1.231 +    z2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.232 +    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
   1.233 +    
   1.234 +    z1 = MULTIPLY(z2 + z3, FIX_0_541196100);
   1.235 +    tmp2 = z1 + MULTIPLY(z3, - FIX_1_847759065);
   1.236 +    tmp3 = z1 + MULTIPLY(z2, FIX_0_765366865);
   1.237 +    
   1.238 +    z2 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.239 +    z3 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
   1.240 +
   1.241 +    tmp0 = (z2 + z3) << CONST_BITS;
   1.242 +    tmp1 = (z2 - z3) << CONST_BITS;
   1.243 +    
   1.244 +    tmp10 = tmp0 + tmp3;
   1.245 +    tmp13 = tmp0 - tmp3;
   1.246 +    tmp11 = tmp1 + tmp2;
   1.247 +    tmp12 = tmp1 - tmp2;
   1.248 +    
   1.249 +    /* Odd part per figure 8; the matrix is unitary and hence its
   1.250 +     * transpose is its inverse.  i0..i3 are y7,y5,y3,y1 respectively.
   1.251 +     */
   1.252 +    
   1.253 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
   1.254 +    tmp1 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
   1.255 +    tmp2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
   1.256 +    tmp3 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.257 +    
   1.258 +    z1 = tmp0 + tmp3;
   1.259 +    z2 = tmp1 + tmp2;
   1.260 +    z3 = tmp0 + tmp2;
   1.261 +    z4 = tmp1 + tmp3;
   1.262 +    z5 = MULTIPLY(z3 + z4, FIX_1_175875602); /* sqrt(2) * c3 */
   1.263 +    
   1.264 +    tmp0 = MULTIPLY(tmp0, FIX_0_298631336); /* sqrt(2) * (-c1+c3+c5-c7) */
   1.265 +    tmp1 = MULTIPLY(tmp1, FIX_2_053119869); /* sqrt(2) * ( c1+c3-c5+c7) */
   1.266 +    tmp2 = MULTIPLY(tmp2, FIX_3_072711026); /* sqrt(2) * ( c1+c3+c5-c7) */
   1.267 +    tmp3 = MULTIPLY(tmp3, FIX_1_501321110); /* sqrt(2) * ( c1+c3-c5-c7) */
   1.268 +    z1 = MULTIPLY(z1, - FIX_0_899976223); /* sqrt(2) * (c7-c3) */
   1.269 +    z2 = MULTIPLY(z2, - FIX_2_562915447); /* sqrt(2) * (-c1-c3) */
   1.270 +    z3 = MULTIPLY(z3, - FIX_1_961570560); /* sqrt(2) * (-c3-c5) */
   1.271 +    z4 = MULTIPLY(z4, - FIX_0_390180644); /* sqrt(2) * (c5-c3) */
   1.272 +    
   1.273 +    z3 += z5;
   1.274 +    z4 += z5;
   1.275 +    
   1.276 +    tmp0 += z1 + z3;
   1.277 +    tmp1 += z2 + z4;
   1.278 +    tmp2 += z2 + z3;
   1.279 +    tmp3 += z1 + z4;
   1.280 +    
   1.281 +    /* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
   1.282 +    
   1.283 +    wsptr[DCTSIZE*0] = (int) DESCALE(tmp10 + tmp3, CONST_BITS-PASS1_BITS);
   1.284 +    wsptr[DCTSIZE*7] = (int) DESCALE(tmp10 - tmp3, CONST_BITS-PASS1_BITS);
   1.285 +    wsptr[DCTSIZE*1] = (int) DESCALE(tmp11 + tmp2, CONST_BITS-PASS1_BITS);
   1.286 +    wsptr[DCTSIZE*6] = (int) DESCALE(tmp11 - tmp2, CONST_BITS-PASS1_BITS);
   1.287 +    wsptr[DCTSIZE*2] = (int) DESCALE(tmp12 + tmp1, CONST_BITS-PASS1_BITS);
   1.288 +    wsptr[DCTSIZE*5] = (int) DESCALE(tmp12 - tmp1, CONST_BITS-PASS1_BITS);
   1.289 +    wsptr[DCTSIZE*3] = (int) DESCALE(tmp13 + tmp0, CONST_BITS-PASS1_BITS);
   1.290 +    wsptr[DCTSIZE*4] = (int) DESCALE(tmp13 - tmp0, CONST_BITS-PASS1_BITS);
   1.291 +    
   1.292 +    inptr++;			/* advance pointers to next column */
   1.293 +    quantptr++;
   1.294 +    wsptr++;
   1.295 +  }
   1.296 +  
   1.297 +  /* Pass 2: process rows from work array, store into output array. */
   1.298 +  /* Note that we must descale the results by a factor of 8 == 2**3, */
   1.299 +  /* and also undo the PASS1_BITS scaling. */
   1.300 +
   1.301 +  wsptr = workspace;
   1.302 +  for (ctr = 0; ctr < DCTSIZE; ctr++) {
   1.303 +    outptr = output_buf[ctr] + output_col;
   1.304 +    /* Rows of zeroes can be exploited in the same way as we did with columns.
   1.305 +     * However, the column calculation has created many nonzero AC terms, so
   1.306 +     * the simplification applies less often (typically 5% to 10% of the time).
   1.307 +     * On machines with very fast multiplication, it's possible that the
   1.308 +     * test takes more time than it's worth.  In that case this section
   1.309 +     * may be commented out.
   1.310 +     */
   1.311 +    
   1.312 +#ifndef NO_ZERO_ROW_TEST
   1.313 +    if (wsptr[1] == 0 && wsptr[2] == 0 && wsptr[3] == 0 && wsptr[4] == 0 &&
   1.314 +	wsptr[5] == 0 && wsptr[6] == 0 && wsptr[7] == 0) {
   1.315 +      /* AC terms all zero */
   1.316 +      JSAMPLE dcval = range_limit[(int) DESCALE((INT32) wsptr[0], PASS1_BITS+3)
   1.317 +				  & RANGE_MASK];
   1.318 +      
   1.319 +      outptr[0] = dcval;
   1.320 +      outptr[1] = dcval;
   1.321 +      outptr[2] = dcval;
   1.322 +      outptr[3] = dcval;
   1.323 +      outptr[4] = dcval;
   1.324 +      outptr[5] = dcval;
   1.325 +      outptr[6] = dcval;
   1.326 +      outptr[7] = dcval;
   1.327 +
   1.328 +      wsptr += DCTSIZE;		/* advance pointer to next row */
   1.329 +      continue;
   1.330 +    }
   1.331 +#endif
   1.332 +    
   1.333 +    /* Even part: reverse the even part of the forward DCT. */
   1.334 +    /* The rotator is sqrt(2)*c(-6). */
   1.335 +    
   1.336 +    z2 = (INT32) wsptr[2];
   1.337 +    z3 = (INT32) wsptr[6];
   1.338 +    
   1.339 +    z1 = MULTIPLY(z2 + z3, FIX_0_541196100);
   1.340 +    tmp2 = z1 + MULTIPLY(z3, - FIX_1_847759065);
   1.341 +    tmp3 = z1 + MULTIPLY(z2, FIX_0_765366865);
   1.342 +    
   1.343 +    tmp0 = ((INT32) wsptr[0] + (INT32) wsptr[4]) << CONST_BITS;
   1.344 +    tmp1 = ((INT32) wsptr[0] - (INT32) wsptr[4]) << CONST_BITS;
   1.345 +    
   1.346 +    tmp10 = tmp0 + tmp3;
   1.347 +    tmp13 = tmp0 - tmp3;
   1.348 +    tmp11 = tmp1 + tmp2;
   1.349 +    tmp12 = tmp1 - tmp2;
   1.350 +    
   1.351 +    /* Odd part per figure 8; the matrix is unitary and hence its
   1.352 +     * transpose is its inverse.  i0..i3 are y7,y5,y3,y1 respectively.
   1.353 +     */
   1.354 +    
   1.355 +    tmp0 = (INT32) wsptr[7];
   1.356 +    tmp1 = (INT32) wsptr[5];
   1.357 +    tmp2 = (INT32) wsptr[3];
   1.358 +    tmp3 = (INT32) wsptr[1];
   1.359 +    
   1.360 +    z1 = tmp0 + tmp3;
   1.361 +    z2 = tmp1 + tmp2;
   1.362 +    z3 = tmp0 + tmp2;
   1.363 +    z4 = tmp1 + tmp3;
   1.364 +    z5 = MULTIPLY(z3 + z4, FIX_1_175875602); /* sqrt(2) * c3 */
   1.365 +    
   1.366 +    tmp0 = MULTIPLY(tmp0, FIX_0_298631336); /* sqrt(2) * (-c1+c3+c5-c7) */
   1.367 +    tmp1 = MULTIPLY(tmp1, FIX_2_053119869); /* sqrt(2) * ( c1+c3-c5+c7) */
   1.368 +    tmp2 = MULTIPLY(tmp2, FIX_3_072711026); /* sqrt(2) * ( c1+c3+c5-c7) */
   1.369 +    tmp3 = MULTIPLY(tmp3, FIX_1_501321110); /* sqrt(2) * ( c1+c3-c5-c7) */
   1.370 +    z1 = MULTIPLY(z1, - FIX_0_899976223); /* sqrt(2) * (c7-c3) */
   1.371 +    z2 = MULTIPLY(z2, - FIX_2_562915447); /* sqrt(2) * (-c1-c3) */
   1.372 +    z3 = MULTIPLY(z3, - FIX_1_961570560); /* sqrt(2) * (-c3-c5) */
   1.373 +    z4 = MULTIPLY(z4, - FIX_0_390180644); /* sqrt(2) * (c5-c3) */
   1.374 +    
   1.375 +    z3 += z5;
   1.376 +    z4 += z5;
   1.377 +    
   1.378 +    tmp0 += z1 + z3;
   1.379 +    tmp1 += z2 + z4;
   1.380 +    tmp2 += z2 + z3;
   1.381 +    tmp3 += z1 + z4;
   1.382 +    
   1.383 +    /* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
   1.384 +    
   1.385 +    outptr[0] = range_limit[(int) DESCALE(tmp10 + tmp3,
   1.386 +					  CONST_BITS+PASS1_BITS+3)
   1.387 +			    & RANGE_MASK];
   1.388 +    outptr[7] = range_limit[(int) DESCALE(tmp10 - tmp3,
   1.389 +					  CONST_BITS+PASS1_BITS+3)
   1.390 +			    & RANGE_MASK];
   1.391 +    outptr[1] = range_limit[(int) DESCALE(tmp11 + tmp2,
   1.392 +					  CONST_BITS+PASS1_BITS+3)
   1.393 +			    & RANGE_MASK];
   1.394 +    outptr[6] = range_limit[(int) DESCALE(tmp11 - tmp2,
   1.395 +					  CONST_BITS+PASS1_BITS+3)
   1.396 +			    & RANGE_MASK];
   1.397 +    outptr[2] = range_limit[(int) DESCALE(tmp12 + tmp1,
   1.398 +					  CONST_BITS+PASS1_BITS+3)
   1.399 +			    & RANGE_MASK];
   1.400 +    outptr[5] = range_limit[(int) DESCALE(tmp12 - tmp1,
   1.401 +					  CONST_BITS+PASS1_BITS+3)
   1.402 +			    & RANGE_MASK];
   1.403 +    outptr[3] = range_limit[(int) DESCALE(tmp13 + tmp0,
   1.404 +					  CONST_BITS+PASS1_BITS+3)
   1.405 +			    & RANGE_MASK];
   1.406 +    outptr[4] = range_limit[(int) DESCALE(tmp13 - tmp0,
   1.407 +					  CONST_BITS+PASS1_BITS+3)
   1.408 +			    & RANGE_MASK];
   1.409 +    
   1.410 +    wsptr += DCTSIZE;		/* advance pointer to next row */
   1.411 +  }
   1.412 +}
   1.413 +
   1.414 +#ifdef IDCT_SCALING_SUPPORTED
   1.415 +
   1.416 +
   1.417 +/*
   1.418 + * Perform dequantization and inverse DCT on one block of coefficients,
   1.419 + * producing a 7x7 output block.
   1.420 + *
   1.421 + * Optimized algorithm with 12 multiplications in the 1-D kernel.
   1.422 + * cK represents sqrt(2) * cos(K*pi/14).
   1.423 + */
   1.424 +
   1.425 +GLOBAL(void)
   1.426 +jpeg_idct_7x7 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.427 +	       JCOEFPTR coef_block,
   1.428 +	       JSAMPARRAY output_buf, JDIMENSION output_col)
   1.429 +{
   1.430 +  INT32 tmp0, tmp1, tmp2, tmp10, tmp11, tmp12, tmp13;
   1.431 +  INT32 z1, z2, z3;
   1.432 +  JCOEFPTR inptr;
   1.433 +  ISLOW_MULT_TYPE * quantptr;
   1.434 +  int * wsptr;
   1.435 +  JSAMPROW outptr;
   1.436 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.437 +  int ctr;
   1.438 +  int workspace[7*7];	/* buffers data between passes */
   1.439 +  SHIFT_TEMPS
   1.440 +
   1.441 +  /* Pass 1: process columns from input, store into work array. */
   1.442 +
   1.443 +  inptr = coef_block;
   1.444 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.445 +  wsptr = workspace;
   1.446 +  for (ctr = 0; ctr < 7; ctr++, inptr++, quantptr++, wsptr++) {
   1.447 +    /* Even part */
   1.448 +
   1.449 +    tmp13 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.450 +    tmp13 <<= CONST_BITS;
   1.451 +    /* Add fudge factor here for final descale. */
   1.452 +    tmp13 += ONE << (CONST_BITS-PASS1_BITS-1);
   1.453 +
   1.454 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.455 +    z2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
   1.456 +    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
   1.457 +
   1.458 +    tmp10 = MULTIPLY(z2 - z3, FIX(0.881747734));     /* c4 */
   1.459 +    tmp12 = MULTIPLY(z1 - z2, FIX(0.314692123));     /* c6 */
   1.460 +    tmp11 = tmp10 + tmp12 + tmp13 - MULTIPLY(z2, FIX(1.841218003)); /* c2+c4-c6 */
   1.461 +    tmp0 = z1 + z3;
   1.462 +    z2 -= tmp0;
   1.463 +    tmp0 = MULTIPLY(tmp0, FIX(1.274162392)) + tmp13; /* c2 */
   1.464 +    tmp10 += tmp0 - MULTIPLY(z3, FIX(0.077722536));  /* c2-c4-c6 */
   1.465 +    tmp12 += tmp0 - MULTIPLY(z1, FIX(2.470602249));  /* c2+c4+c6 */
   1.466 +    tmp13 += MULTIPLY(z2, FIX(1.414213562));         /* c0 */
   1.467 +
   1.468 +    /* Odd part */
   1.469 +
   1.470 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.471 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
   1.472 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
   1.473 +
   1.474 +    tmp1 = MULTIPLY(z1 + z2, FIX(0.935414347));      /* (c3+c1-c5)/2 */
   1.475 +    tmp2 = MULTIPLY(z1 - z2, FIX(0.170262339));      /* (c3+c5-c1)/2 */
   1.476 +    tmp0 = tmp1 - tmp2;
   1.477 +    tmp1 += tmp2;
   1.478 +    tmp2 = MULTIPLY(z2 + z3, - FIX(1.378756276));    /* -c1 */
   1.479 +    tmp1 += tmp2;
   1.480 +    z2 = MULTIPLY(z1 + z3, FIX(0.613604268));        /* c5 */
   1.481 +    tmp0 += z2;
   1.482 +    tmp2 += z2 + MULTIPLY(z3, FIX(1.870828693));     /* c3+c1-c5 */
   1.483 +
   1.484 +    /* Final output stage */
   1.485 +
   1.486 +    wsptr[7*0] = (int) RIGHT_SHIFT(tmp10 + tmp0, CONST_BITS-PASS1_BITS);
   1.487 +    wsptr[7*6] = (int) RIGHT_SHIFT(tmp10 - tmp0, CONST_BITS-PASS1_BITS);
   1.488 +    wsptr[7*1] = (int) RIGHT_SHIFT(tmp11 + tmp1, CONST_BITS-PASS1_BITS);
   1.489 +    wsptr[7*5] = (int) RIGHT_SHIFT(tmp11 - tmp1, CONST_BITS-PASS1_BITS);
   1.490 +    wsptr[7*2] = (int) RIGHT_SHIFT(tmp12 + tmp2, CONST_BITS-PASS1_BITS);
   1.491 +    wsptr[7*4] = (int) RIGHT_SHIFT(tmp12 - tmp2, CONST_BITS-PASS1_BITS);
   1.492 +    wsptr[7*3] = (int) RIGHT_SHIFT(tmp13, CONST_BITS-PASS1_BITS);
   1.493 +  }
   1.494 +
   1.495 +  /* Pass 2: process 7 rows from work array, store into output array. */
   1.496 +
   1.497 +  wsptr = workspace;
   1.498 +  for (ctr = 0; ctr < 7; ctr++) {
   1.499 +    outptr = output_buf[ctr] + output_col;
   1.500 +
   1.501 +    /* Even part */
   1.502 +
   1.503 +    /* Add fudge factor here for final descale. */
   1.504 +    tmp13 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
   1.505 +    tmp13 <<= CONST_BITS;
   1.506 +
   1.507 +    z1 = (INT32) wsptr[2];
   1.508 +    z2 = (INT32) wsptr[4];
   1.509 +    z3 = (INT32) wsptr[6];
   1.510 +
   1.511 +    tmp10 = MULTIPLY(z2 - z3, FIX(0.881747734));     /* c4 */
   1.512 +    tmp12 = MULTIPLY(z1 - z2, FIX(0.314692123));     /* c6 */
   1.513 +    tmp11 = tmp10 + tmp12 + tmp13 - MULTIPLY(z2, FIX(1.841218003)); /* c2+c4-c6 */
   1.514 +    tmp0 = z1 + z3;
   1.515 +    z2 -= tmp0;
   1.516 +    tmp0 = MULTIPLY(tmp0, FIX(1.274162392)) + tmp13; /* c2 */
   1.517 +    tmp10 += tmp0 - MULTIPLY(z3, FIX(0.077722536));  /* c2-c4-c6 */
   1.518 +    tmp12 += tmp0 - MULTIPLY(z1, FIX(2.470602249));  /* c2+c4+c6 */
   1.519 +    tmp13 += MULTIPLY(z2, FIX(1.414213562));         /* c0 */
   1.520 +
   1.521 +    /* Odd part */
   1.522 +
   1.523 +    z1 = (INT32) wsptr[1];
   1.524 +    z2 = (INT32) wsptr[3];
   1.525 +    z3 = (INT32) wsptr[5];
   1.526 +
   1.527 +    tmp1 = MULTIPLY(z1 + z2, FIX(0.935414347));      /* (c3+c1-c5)/2 */
   1.528 +    tmp2 = MULTIPLY(z1 - z2, FIX(0.170262339));      /* (c3+c5-c1)/2 */
   1.529 +    tmp0 = tmp1 - tmp2;
   1.530 +    tmp1 += tmp2;
   1.531 +    tmp2 = MULTIPLY(z2 + z3, - FIX(1.378756276));    /* -c1 */
   1.532 +    tmp1 += tmp2;
   1.533 +    z2 = MULTIPLY(z1 + z3, FIX(0.613604268));        /* c5 */
   1.534 +    tmp0 += z2;
   1.535 +    tmp2 += z2 + MULTIPLY(z3, FIX(1.870828693));     /* c3+c1-c5 */
   1.536 +
   1.537 +    /* Final output stage */
   1.538 +
   1.539 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp10 + tmp0,
   1.540 +					      CONST_BITS+PASS1_BITS+3)
   1.541 +			    & RANGE_MASK];
   1.542 +    outptr[6] = range_limit[(int) RIGHT_SHIFT(tmp10 - tmp0,
   1.543 +					      CONST_BITS+PASS1_BITS+3)
   1.544 +			    & RANGE_MASK];
   1.545 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp11 + tmp1,
   1.546 +					      CONST_BITS+PASS1_BITS+3)
   1.547 +			    & RANGE_MASK];
   1.548 +    outptr[5] = range_limit[(int) RIGHT_SHIFT(tmp11 - tmp1,
   1.549 +					      CONST_BITS+PASS1_BITS+3)
   1.550 +			    & RANGE_MASK];
   1.551 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp12 + tmp2,
   1.552 +					      CONST_BITS+PASS1_BITS+3)
   1.553 +			    & RANGE_MASK];
   1.554 +    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp12 - tmp2,
   1.555 +					      CONST_BITS+PASS1_BITS+3)
   1.556 +			    & RANGE_MASK];
   1.557 +    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp13,
   1.558 +					      CONST_BITS+PASS1_BITS+3)
   1.559 +			    & RANGE_MASK];
   1.560 +
   1.561 +    wsptr += 7;		/* advance pointer to next row */
   1.562 +  }
   1.563 +}
   1.564 +
   1.565 +
   1.566 +/*
   1.567 + * Perform dequantization and inverse DCT on one block of coefficients,
   1.568 + * producing a reduced-size 6x6 output block.
   1.569 + *
   1.570 + * Optimized algorithm with 3 multiplications in the 1-D kernel.
   1.571 + * cK represents sqrt(2) * cos(K*pi/12).
   1.572 + */
   1.573 +
   1.574 +GLOBAL(void)
   1.575 +jpeg_idct_6x6 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.576 +	       JCOEFPTR coef_block,
   1.577 +	       JSAMPARRAY output_buf, JDIMENSION output_col)
   1.578 +{
   1.579 +  INT32 tmp0, tmp1, tmp2, tmp10, tmp11, tmp12;
   1.580 +  INT32 z1, z2, z3;
   1.581 +  JCOEFPTR inptr;
   1.582 +  ISLOW_MULT_TYPE * quantptr;
   1.583 +  int * wsptr;
   1.584 +  JSAMPROW outptr;
   1.585 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.586 +  int ctr;
   1.587 +  int workspace[6*6];	/* buffers data between passes */
   1.588 +  SHIFT_TEMPS
   1.589 +
   1.590 +  /* Pass 1: process columns from input, store into work array. */
   1.591 +
   1.592 +  inptr = coef_block;
   1.593 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.594 +  wsptr = workspace;
   1.595 +  for (ctr = 0; ctr < 6; ctr++, inptr++, quantptr++, wsptr++) {
   1.596 +    /* Even part */
   1.597 +
   1.598 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.599 +    tmp0 <<= CONST_BITS;
   1.600 +    /* Add fudge factor here for final descale. */
   1.601 +    tmp0 += ONE << (CONST_BITS-PASS1_BITS-1);
   1.602 +    tmp2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
   1.603 +    tmp10 = MULTIPLY(tmp2, FIX(0.707106781));   /* c4 */
   1.604 +    tmp1 = tmp0 + tmp10;
   1.605 +    tmp11 = RIGHT_SHIFT(tmp0 - tmp10 - tmp10, CONST_BITS-PASS1_BITS);
   1.606 +    tmp10 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.607 +    tmp0 = MULTIPLY(tmp10, FIX(1.224744871));   /* c2 */
   1.608 +    tmp10 = tmp1 + tmp0;
   1.609 +    tmp12 = tmp1 - tmp0;
   1.610 +
   1.611 +    /* Odd part */
   1.612 +
   1.613 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.614 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
   1.615 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
   1.616 +    tmp1 = MULTIPLY(z1 + z3, FIX(0.366025404)); /* c5 */
   1.617 +    tmp0 = tmp1 + ((z1 + z2) << CONST_BITS);
   1.618 +    tmp2 = tmp1 + ((z3 - z2) << CONST_BITS);
   1.619 +    tmp1 = (z1 - z2 - z3) << PASS1_BITS;
   1.620 +
   1.621 +    /* Final output stage */
   1.622 +
   1.623 +    wsptr[6*0] = (int) RIGHT_SHIFT(tmp10 + tmp0, CONST_BITS-PASS1_BITS);
   1.624 +    wsptr[6*5] = (int) RIGHT_SHIFT(tmp10 - tmp0, CONST_BITS-PASS1_BITS);
   1.625 +    wsptr[6*1] = (int) (tmp11 + tmp1);
   1.626 +    wsptr[6*4] = (int) (tmp11 - tmp1);
   1.627 +    wsptr[6*2] = (int) RIGHT_SHIFT(tmp12 + tmp2, CONST_BITS-PASS1_BITS);
   1.628 +    wsptr[6*3] = (int) RIGHT_SHIFT(tmp12 - tmp2, CONST_BITS-PASS1_BITS);
   1.629 +  }
   1.630 +
   1.631 +  /* Pass 2: process 6 rows from work array, store into output array. */
   1.632 +
   1.633 +  wsptr = workspace;
   1.634 +  for (ctr = 0; ctr < 6; ctr++) {
   1.635 +    outptr = output_buf[ctr] + output_col;
   1.636 +
   1.637 +    /* Even part */
   1.638 +
   1.639 +    /* Add fudge factor here for final descale. */
   1.640 +    tmp0 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
   1.641 +    tmp0 <<= CONST_BITS;
   1.642 +    tmp2 = (INT32) wsptr[4];
   1.643 +    tmp10 = MULTIPLY(tmp2, FIX(0.707106781));   /* c4 */
   1.644 +    tmp1 = tmp0 + tmp10;
   1.645 +    tmp11 = tmp0 - tmp10 - tmp10;
   1.646 +    tmp10 = (INT32) wsptr[2];
   1.647 +    tmp0 = MULTIPLY(tmp10, FIX(1.224744871));   /* c2 */
   1.648 +    tmp10 = tmp1 + tmp0;
   1.649 +    tmp12 = tmp1 - tmp0;
   1.650 +
   1.651 +    /* Odd part */
   1.652 +
   1.653 +    z1 = (INT32) wsptr[1];
   1.654 +    z2 = (INT32) wsptr[3];
   1.655 +    z3 = (INT32) wsptr[5];
   1.656 +    tmp1 = MULTIPLY(z1 + z3, FIX(0.366025404)); /* c5 */
   1.657 +    tmp0 = tmp1 + ((z1 + z2) << CONST_BITS);
   1.658 +    tmp2 = tmp1 + ((z3 - z2) << CONST_BITS);
   1.659 +    tmp1 = (z1 - z2 - z3) << CONST_BITS;
   1.660 +
   1.661 +    /* Final output stage */
   1.662 +
   1.663 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp10 + tmp0,
   1.664 +					      CONST_BITS+PASS1_BITS+3)
   1.665 +			    & RANGE_MASK];
   1.666 +    outptr[5] = range_limit[(int) RIGHT_SHIFT(tmp10 - tmp0,
   1.667 +					      CONST_BITS+PASS1_BITS+3)
   1.668 +			    & RANGE_MASK];
   1.669 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp11 + tmp1,
   1.670 +					      CONST_BITS+PASS1_BITS+3)
   1.671 +			    & RANGE_MASK];
   1.672 +    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp11 - tmp1,
   1.673 +					      CONST_BITS+PASS1_BITS+3)
   1.674 +			    & RANGE_MASK];
   1.675 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp12 + tmp2,
   1.676 +					      CONST_BITS+PASS1_BITS+3)
   1.677 +			    & RANGE_MASK];
   1.678 +    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp12 - tmp2,
   1.679 +					      CONST_BITS+PASS1_BITS+3)
   1.680 +			    & RANGE_MASK];
   1.681 +
   1.682 +    wsptr += 6;		/* advance pointer to next row */
   1.683 +  }
   1.684 +}
   1.685 +
   1.686 +
   1.687 +/*
   1.688 + * Perform dequantization and inverse DCT on one block of coefficients,
   1.689 + * producing a reduced-size 5x5 output block.
   1.690 + *
   1.691 + * Optimized algorithm with 5 multiplications in the 1-D kernel.
   1.692 + * cK represents sqrt(2) * cos(K*pi/10).
   1.693 + */
   1.694 +
   1.695 +GLOBAL(void)
   1.696 +jpeg_idct_5x5 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.697 +	       JCOEFPTR coef_block,
   1.698 +	       JSAMPARRAY output_buf, JDIMENSION output_col)
   1.699 +{
   1.700 +  INT32 tmp0, tmp1, tmp10, tmp11, tmp12;
   1.701 +  INT32 z1, z2, z3;
   1.702 +  JCOEFPTR inptr;
   1.703 +  ISLOW_MULT_TYPE * quantptr;
   1.704 +  int * wsptr;
   1.705 +  JSAMPROW outptr;
   1.706 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.707 +  int ctr;
   1.708 +  int workspace[5*5];	/* buffers data between passes */
   1.709 +  SHIFT_TEMPS
   1.710 +
   1.711 +  /* Pass 1: process columns from input, store into work array. */
   1.712 +
   1.713 +  inptr = coef_block;
   1.714 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.715 +  wsptr = workspace;
   1.716 +  for (ctr = 0; ctr < 5; ctr++, inptr++, quantptr++, wsptr++) {
   1.717 +    /* Even part */
   1.718 +
   1.719 +    tmp12 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.720 +    tmp12 <<= CONST_BITS;
   1.721 +    /* Add fudge factor here for final descale. */
   1.722 +    tmp12 += ONE << (CONST_BITS-PASS1_BITS-1);
   1.723 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.724 +    tmp1 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
   1.725 +    z1 = MULTIPLY(tmp0 + tmp1, FIX(0.790569415)); /* (c2+c4)/2 */
   1.726 +    z2 = MULTIPLY(tmp0 - tmp1, FIX(0.353553391)); /* (c2-c4)/2 */
   1.727 +    z3 = tmp12 + z2;
   1.728 +    tmp10 = z3 + z1;
   1.729 +    tmp11 = z3 - z1;
   1.730 +    tmp12 -= z2 << 2;
   1.731 +
   1.732 +    /* Odd part */
   1.733 +
   1.734 +    z2 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.735 +    z3 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
   1.736 +
   1.737 +    z1 = MULTIPLY(z2 + z3, FIX(0.831253876));     /* c3 */
   1.738 +    tmp0 = z1 + MULTIPLY(z2, FIX(0.513743148));   /* c1-c3 */
   1.739 +    tmp1 = z1 - MULTIPLY(z3, FIX(2.176250899));   /* c1+c3 */
   1.740 +
   1.741 +    /* Final output stage */
   1.742 +
   1.743 +    wsptr[5*0] = (int) RIGHT_SHIFT(tmp10 + tmp0, CONST_BITS-PASS1_BITS);
   1.744 +    wsptr[5*4] = (int) RIGHT_SHIFT(tmp10 - tmp0, CONST_BITS-PASS1_BITS);
   1.745 +    wsptr[5*1] = (int) RIGHT_SHIFT(tmp11 + tmp1, CONST_BITS-PASS1_BITS);
   1.746 +    wsptr[5*3] = (int) RIGHT_SHIFT(tmp11 - tmp1, CONST_BITS-PASS1_BITS);
   1.747 +    wsptr[5*2] = (int) RIGHT_SHIFT(tmp12, CONST_BITS-PASS1_BITS);
   1.748 +  }
   1.749 +
   1.750 +  /* Pass 2: process 5 rows from work array, store into output array. */
   1.751 +
   1.752 +  wsptr = workspace;
   1.753 +  for (ctr = 0; ctr < 5; ctr++) {
   1.754 +    outptr = output_buf[ctr] + output_col;
   1.755 +
   1.756 +    /* Even part */
   1.757 +
   1.758 +    /* Add fudge factor here for final descale. */
   1.759 +    tmp12 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
   1.760 +    tmp12 <<= CONST_BITS;
   1.761 +    tmp0 = (INT32) wsptr[2];
   1.762 +    tmp1 = (INT32) wsptr[4];
   1.763 +    z1 = MULTIPLY(tmp0 + tmp1, FIX(0.790569415)); /* (c2+c4)/2 */
   1.764 +    z2 = MULTIPLY(tmp0 - tmp1, FIX(0.353553391)); /* (c2-c4)/2 */
   1.765 +    z3 = tmp12 + z2;
   1.766 +    tmp10 = z3 + z1;
   1.767 +    tmp11 = z3 - z1;
   1.768 +    tmp12 -= z2 << 2;
   1.769 +
   1.770 +    /* Odd part */
   1.771 +
   1.772 +    z2 = (INT32) wsptr[1];
   1.773 +    z3 = (INT32) wsptr[3];
   1.774 +
   1.775 +    z1 = MULTIPLY(z2 + z3, FIX(0.831253876));     /* c3 */
   1.776 +    tmp0 = z1 + MULTIPLY(z2, FIX(0.513743148));   /* c1-c3 */
   1.777 +    tmp1 = z1 - MULTIPLY(z3, FIX(2.176250899));   /* c1+c3 */
   1.778 +
   1.779 +    /* Final output stage */
   1.780 +
   1.781 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp10 + tmp0,
   1.782 +					      CONST_BITS+PASS1_BITS+3)
   1.783 +			    & RANGE_MASK];
   1.784 +    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp10 - tmp0,
   1.785 +					      CONST_BITS+PASS1_BITS+3)
   1.786 +			    & RANGE_MASK];
   1.787 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp11 + tmp1,
   1.788 +					      CONST_BITS+PASS1_BITS+3)
   1.789 +			    & RANGE_MASK];
   1.790 +    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp11 - tmp1,
   1.791 +					      CONST_BITS+PASS1_BITS+3)
   1.792 +			    & RANGE_MASK];
   1.793 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp12,
   1.794 +					      CONST_BITS+PASS1_BITS+3)
   1.795 +			    & RANGE_MASK];
   1.796 +
   1.797 +    wsptr += 5;		/* advance pointer to next row */
   1.798 +  }
   1.799 +}
   1.800 +
   1.801 +
   1.802 +/*
   1.803 + * Perform dequantization and inverse DCT on one block of coefficients,
   1.804 + * producing a reduced-size 3x3 output block.
   1.805 + *
   1.806 + * Optimized algorithm with 2 multiplications in the 1-D kernel.
   1.807 + * cK represents sqrt(2) * cos(K*pi/6).
   1.808 + */
   1.809 +
   1.810 +GLOBAL(void)
   1.811 +jpeg_idct_3x3 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.812 +	       JCOEFPTR coef_block,
   1.813 +	       JSAMPARRAY output_buf, JDIMENSION output_col)
   1.814 +{
   1.815 +  INT32 tmp0, tmp2, tmp10, tmp12;
   1.816 +  JCOEFPTR inptr;
   1.817 +  ISLOW_MULT_TYPE * quantptr;
   1.818 +  int * wsptr;
   1.819 +  JSAMPROW outptr;
   1.820 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.821 +  int ctr;
   1.822 +  int workspace[3*3];	/* buffers data between passes */
   1.823 +  SHIFT_TEMPS
   1.824 +
   1.825 +  /* Pass 1: process columns from input, store into work array. */
   1.826 +
   1.827 +  inptr = coef_block;
   1.828 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.829 +  wsptr = workspace;
   1.830 +  for (ctr = 0; ctr < 3; ctr++, inptr++, quantptr++, wsptr++) {
   1.831 +    /* Even part */
   1.832 +
   1.833 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.834 +    tmp0 <<= CONST_BITS;
   1.835 +    /* Add fudge factor here for final descale. */
   1.836 +    tmp0 += ONE << (CONST_BITS-PASS1_BITS-1);
   1.837 +    tmp2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.838 +    tmp12 = MULTIPLY(tmp2, FIX(0.707106781)); /* c2 */
   1.839 +    tmp10 = tmp0 + tmp12;
   1.840 +    tmp2 = tmp0 - tmp12 - tmp12;
   1.841 +
   1.842 +    /* Odd part */
   1.843 +
   1.844 +    tmp12 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.845 +    tmp0 = MULTIPLY(tmp12, FIX(1.224744871)); /* c1 */
   1.846 +
   1.847 +    /* Final output stage */
   1.848 +
   1.849 +    wsptr[3*0] = (int) RIGHT_SHIFT(tmp10 + tmp0, CONST_BITS-PASS1_BITS);
   1.850 +    wsptr[3*2] = (int) RIGHT_SHIFT(tmp10 - tmp0, CONST_BITS-PASS1_BITS);
   1.851 +    wsptr[3*1] = (int) RIGHT_SHIFT(tmp2, CONST_BITS-PASS1_BITS);
   1.852 +  }
   1.853 +
   1.854 +  /* Pass 2: process 3 rows from work array, store into output array. */
   1.855 +
   1.856 +  wsptr = workspace;
   1.857 +  for (ctr = 0; ctr < 3; ctr++) {
   1.858 +    outptr = output_buf[ctr] + output_col;
   1.859 +
   1.860 +    /* Even part */
   1.861 +
   1.862 +    /* Add fudge factor here for final descale. */
   1.863 +    tmp0 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
   1.864 +    tmp0 <<= CONST_BITS;
   1.865 +    tmp2 = (INT32) wsptr[2];
   1.866 +    tmp12 = MULTIPLY(tmp2, FIX(0.707106781)); /* c2 */
   1.867 +    tmp10 = tmp0 + tmp12;
   1.868 +    tmp2 = tmp0 - tmp12 - tmp12;
   1.869 +
   1.870 +    /* Odd part */
   1.871 +
   1.872 +    tmp12 = (INT32) wsptr[1];
   1.873 +    tmp0 = MULTIPLY(tmp12, FIX(1.224744871)); /* c1 */
   1.874 +
   1.875 +    /* Final output stage */
   1.876 +
   1.877 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp10 + tmp0,
   1.878 +					      CONST_BITS+PASS1_BITS+3)
   1.879 +			    & RANGE_MASK];
   1.880 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp10 - tmp0,
   1.881 +					      CONST_BITS+PASS1_BITS+3)
   1.882 +			    & RANGE_MASK];
   1.883 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp2,
   1.884 +					      CONST_BITS+PASS1_BITS+3)
   1.885 +			    & RANGE_MASK];
   1.886 +
   1.887 +    wsptr += 3;		/* advance pointer to next row */
   1.888 +  }
   1.889 +}
   1.890 +
   1.891 +
   1.892 +/*
   1.893 + * Perform dequantization and inverse DCT on one block of coefficients,
   1.894 + * producing a 9x9 output block.
   1.895 + *
   1.896 + * Optimized algorithm with 10 multiplications in the 1-D kernel.
   1.897 + * cK represents sqrt(2) * cos(K*pi/18).
   1.898 + */
   1.899 +
   1.900 +GLOBAL(void)
   1.901 +jpeg_idct_9x9 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
   1.902 +	       JCOEFPTR coef_block,
   1.903 +	       JSAMPARRAY output_buf, JDIMENSION output_col)
   1.904 +{
   1.905 +  INT32 tmp0, tmp1, tmp2, tmp3, tmp10, tmp11, tmp12, tmp13, tmp14;
   1.906 +  INT32 z1, z2, z3, z4;
   1.907 +  JCOEFPTR inptr;
   1.908 +  ISLOW_MULT_TYPE * quantptr;
   1.909 +  int * wsptr;
   1.910 +  JSAMPROW outptr;
   1.911 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
   1.912 +  int ctr;
   1.913 +  int workspace[8*9];	/* buffers data between passes */
   1.914 +  SHIFT_TEMPS
   1.915 +
   1.916 +  /* Pass 1: process columns from input, store into work array. */
   1.917 +
   1.918 +  inptr = coef_block;
   1.919 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
   1.920 +  wsptr = workspace;
   1.921 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
   1.922 +    /* Even part */
   1.923 +
   1.924 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
   1.925 +    tmp0 <<= CONST_BITS;
   1.926 +    /* Add fudge factor here for final descale. */
   1.927 +    tmp0 += ONE << (CONST_BITS-PASS1_BITS-1);
   1.928 +
   1.929 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
   1.930 +    z2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
   1.931 +    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
   1.932 +
   1.933 +    tmp3 = MULTIPLY(z3, FIX(0.707106781));      /* c6 */
   1.934 +    tmp1 = tmp0 + tmp3;
   1.935 +    tmp2 = tmp0 - tmp3 - tmp3;
   1.936 +
   1.937 +    tmp0 = MULTIPLY(z1 - z2, FIX(0.707106781)); /* c6 */
   1.938 +    tmp11 = tmp2 + tmp0;
   1.939 +    tmp14 = tmp2 - tmp0 - tmp0;
   1.940 +
   1.941 +    tmp0 = MULTIPLY(z1 + z2, FIX(1.328926049)); /* c2 */
   1.942 +    tmp2 = MULTIPLY(z1, FIX(1.083350441));      /* c4 */
   1.943 +    tmp3 = MULTIPLY(z2, FIX(0.245575608));      /* c8 */
   1.944 +
   1.945 +    tmp10 = tmp1 + tmp0 - tmp3;
   1.946 +    tmp12 = tmp1 - tmp0 + tmp2;
   1.947 +    tmp13 = tmp1 - tmp2 + tmp3;
   1.948 +
   1.949 +    /* Odd part */
   1.950 +
   1.951 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
   1.952 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
   1.953 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
   1.954 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
   1.955 +
   1.956 +    z2 = MULTIPLY(z2, - FIX(1.224744871));           /* -c3 */
   1.957 +
   1.958 +    tmp2 = MULTIPLY(z1 + z3, FIX(0.909038955));      /* c5 */
   1.959 +    tmp3 = MULTIPLY(z1 + z4, FIX(0.483689525));      /* c7 */
   1.960 +    tmp0 = tmp2 + tmp3 - z2;
   1.961 +    tmp1 = MULTIPLY(z3 - z4, FIX(1.392728481));      /* c1 */
   1.962 +    tmp2 += z2 - tmp1;
   1.963 +    tmp3 += z2 + tmp1;
   1.964 +    tmp1 = MULTIPLY(z1 - z3 - z4, FIX(1.224744871)); /* c3 */
   1.965 +
   1.966 +    /* Final output stage */
   1.967 +
   1.968 +    wsptr[8*0] = (int) RIGHT_SHIFT(tmp10 + tmp0, CONST_BITS-PASS1_BITS);
   1.969 +    wsptr[8*8] = (int) RIGHT_SHIFT(tmp10 - tmp0, CONST_BITS-PASS1_BITS);
   1.970 +    wsptr[8*1] = (int) RIGHT_SHIFT(tmp11 + tmp1, CONST_BITS-PASS1_BITS);
   1.971 +    wsptr[8*7] = (int) RIGHT_SHIFT(tmp11 - tmp1, CONST_BITS-PASS1_BITS);
   1.972 +    wsptr[8*2] = (int) RIGHT_SHIFT(tmp12 + tmp2, CONST_BITS-PASS1_BITS);
   1.973 +    wsptr[8*6] = (int) RIGHT_SHIFT(tmp12 - tmp2, CONST_BITS-PASS1_BITS);
   1.974 +    wsptr[8*3] = (int) RIGHT_SHIFT(tmp13 + tmp3, CONST_BITS-PASS1_BITS);
   1.975 +    wsptr[8*5] = (int) RIGHT_SHIFT(tmp13 - tmp3, CONST_BITS-PASS1_BITS);
   1.976 +    wsptr[8*4] = (int) RIGHT_SHIFT(tmp14, CONST_BITS-PASS1_BITS);
   1.977 +  }
   1.978 +
   1.979 +  /* Pass 2: process 9 rows from work array, store into output array. */
   1.980 +
   1.981 +  wsptr = workspace;
   1.982 +  for (ctr = 0; ctr < 9; ctr++) {
   1.983 +    outptr = output_buf[ctr] + output_col;
   1.984 +
   1.985 +    /* Even part */
   1.986 +
   1.987 +    /* Add fudge factor here for final descale. */
   1.988 +    tmp0 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
   1.989 +    tmp0 <<= CONST_BITS;
   1.990 +
   1.991 +    z1 = (INT32) wsptr[2];
   1.992 +    z2 = (INT32) wsptr[4];
   1.993 +    z3 = (INT32) wsptr[6];
   1.994 +
   1.995 +    tmp3 = MULTIPLY(z3, FIX(0.707106781));      /* c6 */
   1.996 +    tmp1 = tmp0 + tmp3;
   1.997 +    tmp2 = tmp0 - tmp3 - tmp3;
   1.998 +
   1.999 +    tmp0 = MULTIPLY(z1 - z2, FIX(0.707106781)); /* c6 */
  1.1000 +    tmp11 = tmp2 + tmp0;
  1.1001 +    tmp14 = tmp2 - tmp0 - tmp0;
  1.1002 +
  1.1003 +    tmp0 = MULTIPLY(z1 + z2, FIX(1.328926049)); /* c2 */
  1.1004 +    tmp2 = MULTIPLY(z1, FIX(1.083350441));      /* c4 */
  1.1005 +    tmp3 = MULTIPLY(z2, FIX(0.245575608));      /* c8 */
  1.1006 +
  1.1007 +    tmp10 = tmp1 + tmp0 - tmp3;
  1.1008 +    tmp12 = tmp1 - tmp0 + tmp2;
  1.1009 +    tmp13 = tmp1 - tmp2 + tmp3;
  1.1010 +
  1.1011 +    /* Odd part */
  1.1012 +
  1.1013 +    z1 = (INT32) wsptr[1];
  1.1014 +    z2 = (INT32) wsptr[3];
  1.1015 +    z3 = (INT32) wsptr[5];
  1.1016 +    z4 = (INT32) wsptr[7];
  1.1017 +
  1.1018 +    z2 = MULTIPLY(z2, - FIX(1.224744871));           /* -c3 */
  1.1019 +
  1.1020 +    tmp2 = MULTIPLY(z1 + z3, FIX(0.909038955));      /* c5 */
  1.1021 +    tmp3 = MULTIPLY(z1 + z4, FIX(0.483689525));      /* c7 */
  1.1022 +    tmp0 = tmp2 + tmp3 - z2;
  1.1023 +    tmp1 = MULTIPLY(z3 - z4, FIX(1.392728481));      /* c1 */
  1.1024 +    tmp2 += z2 - tmp1;
  1.1025 +    tmp3 += z2 + tmp1;
  1.1026 +    tmp1 = MULTIPLY(z1 - z3 - z4, FIX(1.224744871)); /* c3 */
  1.1027 +
  1.1028 +    /* Final output stage */
  1.1029 +
  1.1030 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp10 + tmp0,
  1.1031 +					      CONST_BITS+PASS1_BITS+3)
  1.1032 +			    & RANGE_MASK];
  1.1033 +    outptr[8] = range_limit[(int) RIGHT_SHIFT(tmp10 - tmp0,
  1.1034 +					      CONST_BITS+PASS1_BITS+3)
  1.1035 +			    & RANGE_MASK];
  1.1036 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp11 + tmp1,
  1.1037 +					      CONST_BITS+PASS1_BITS+3)
  1.1038 +			    & RANGE_MASK];
  1.1039 +    outptr[7] = range_limit[(int) RIGHT_SHIFT(tmp11 - tmp1,
  1.1040 +					      CONST_BITS+PASS1_BITS+3)
  1.1041 +			    & RANGE_MASK];
  1.1042 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp12 + tmp2,
  1.1043 +					      CONST_BITS+PASS1_BITS+3)
  1.1044 +			    & RANGE_MASK];
  1.1045 +    outptr[6] = range_limit[(int) RIGHT_SHIFT(tmp12 - tmp2,
  1.1046 +					      CONST_BITS+PASS1_BITS+3)
  1.1047 +			    & RANGE_MASK];
  1.1048 +    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp13 + tmp3,
  1.1049 +					      CONST_BITS+PASS1_BITS+3)
  1.1050 +			    & RANGE_MASK];
  1.1051 +    outptr[5] = range_limit[(int) RIGHT_SHIFT(tmp13 - tmp3,
  1.1052 +					      CONST_BITS+PASS1_BITS+3)
  1.1053 +			    & RANGE_MASK];
  1.1054 +    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp14,
  1.1055 +					      CONST_BITS+PASS1_BITS+3)
  1.1056 +			    & RANGE_MASK];
  1.1057 +
  1.1058 +    wsptr += 8;		/* advance pointer to next row */
  1.1059 +  }
  1.1060 +}
  1.1061 +
  1.1062 +
  1.1063 +/*
  1.1064 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.1065 + * producing a 10x10 output block.
  1.1066 + *
  1.1067 + * Optimized algorithm with 12 multiplications in the 1-D kernel.
  1.1068 + * cK represents sqrt(2) * cos(K*pi/20).
  1.1069 + */
  1.1070 +
  1.1071 +GLOBAL(void)
  1.1072 +jpeg_idct_10x10 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.1073 +		 JCOEFPTR coef_block,
  1.1074 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.1075 +{
  1.1076 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14;
  1.1077 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24;
  1.1078 +  INT32 z1, z2, z3, z4, z5;
  1.1079 +  JCOEFPTR inptr;
  1.1080 +  ISLOW_MULT_TYPE * quantptr;
  1.1081 +  int * wsptr;
  1.1082 +  JSAMPROW outptr;
  1.1083 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.1084 +  int ctr;
  1.1085 +  int workspace[8*10];	/* buffers data between passes */
  1.1086 +  SHIFT_TEMPS
  1.1087 +
  1.1088 +  /* Pass 1: process columns from input, store into work array. */
  1.1089 +
  1.1090 +  inptr = coef_block;
  1.1091 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.1092 +  wsptr = workspace;
  1.1093 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.1094 +    /* Even part */
  1.1095 +
  1.1096 +    z3 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.1097 +    z3 <<= CONST_BITS;
  1.1098 +    /* Add fudge factor here for final descale. */
  1.1099 +    z3 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.1100 +    z4 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.1101 +    z1 = MULTIPLY(z4, FIX(1.144122806));         /* c4 */
  1.1102 +    z2 = MULTIPLY(z4, FIX(0.437016024));         /* c8 */
  1.1103 +    tmp10 = z3 + z1;
  1.1104 +    tmp11 = z3 - z2;
  1.1105 +
  1.1106 +    tmp22 = RIGHT_SHIFT(z3 - ((z1 - z2) << 1),   /* c0 = (c4-c8)*2 */
  1.1107 +			CONST_BITS-PASS1_BITS);
  1.1108 +
  1.1109 +    z2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.1110 +    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.1111 +
  1.1112 +    z1 = MULTIPLY(z2 + z3, FIX(0.831253876));    /* c6 */
  1.1113 +    tmp12 = z1 + MULTIPLY(z2, FIX(0.513743148)); /* c2-c6 */
  1.1114 +    tmp13 = z1 - MULTIPLY(z3, FIX(2.176250899)); /* c2+c6 */
  1.1115 +
  1.1116 +    tmp20 = tmp10 + tmp12;
  1.1117 +    tmp24 = tmp10 - tmp12;
  1.1118 +    tmp21 = tmp11 + tmp13;
  1.1119 +    tmp23 = tmp11 - tmp13;
  1.1120 +
  1.1121 +    /* Odd part */
  1.1122 +
  1.1123 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.1124 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.1125 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.1126 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.1127 +
  1.1128 +    tmp11 = z2 + z4;
  1.1129 +    tmp13 = z2 - z4;
  1.1130 +
  1.1131 +    tmp12 = MULTIPLY(tmp13, FIX(0.309016994));        /* (c3-c7)/2 */
  1.1132 +    z5 = z3 << CONST_BITS;
  1.1133 +
  1.1134 +    z2 = MULTIPLY(tmp11, FIX(0.951056516));           /* (c3+c7)/2 */
  1.1135 +    z4 = z5 + tmp12;
  1.1136 +
  1.1137 +    tmp10 = MULTIPLY(z1, FIX(1.396802247)) + z2 + z4; /* c1 */
  1.1138 +    tmp14 = MULTIPLY(z1, FIX(0.221231742)) - z2 + z4; /* c9 */
  1.1139 +
  1.1140 +    z2 = MULTIPLY(tmp11, FIX(0.587785252));           /* (c1-c9)/2 */
  1.1141 +    z4 = z5 - tmp12 - (tmp13 << (CONST_BITS - 1));
  1.1142 +
  1.1143 +    tmp12 = (z1 - tmp13 - z3) << PASS1_BITS;
  1.1144 +
  1.1145 +    tmp11 = MULTIPLY(z1, FIX(1.260073511)) - z2 - z4; /* c3 */
  1.1146 +    tmp13 = MULTIPLY(z1, FIX(0.642039522)) - z2 + z4; /* c7 */
  1.1147 +
  1.1148 +    /* Final output stage */
  1.1149 +
  1.1150 +    wsptr[8*0] = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.1151 +    wsptr[8*9] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.1152 +    wsptr[8*1] = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.1153 +    wsptr[8*8] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.1154 +    wsptr[8*2] = (int) (tmp22 + tmp12);
  1.1155 +    wsptr[8*7] = (int) (tmp22 - tmp12);
  1.1156 +    wsptr[8*3] = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
  1.1157 +    wsptr[8*6] = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
  1.1158 +    wsptr[8*4] = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.1159 +    wsptr[8*5] = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.1160 +  }
  1.1161 +
  1.1162 +  /* Pass 2: process 10 rows from work array, store into output array. */
  1.1163 +
  1.1164 +  wsptr = workspace;
  1.1165 +  for (ctr = 0; ctr < 10; ctr++) {
  1.1166 +    outptr = output_buf[ctr] + output_col;
  1.1167 +
  1.1168 +    /* Even part */
  1.1169 +
  1.1170 +    /* Add fudge factor here for final descale. */
  1.1171 +    z3 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.1172 +    z3 <<= CONST_BITS;
  1.1173 +    z4 = (INT32) wsptr[4];
  1.1174 +    z1 = MULTIPLY(z4, FIX(1.144122806));         /* c4 */
  1.1175 +    z2 = MULTIPLY(z4, FIX(0.437016024));         /* c8 */
  1.1176 +    tmp10 = z3 + z1;
  1.1177 +    tmp11 = z3 - z2;
  1.1178 +
  1.1179 +    tmp22 = z3 - ((z1 - z2) << 1);               /* c0 = (c4-c8)*2 */
  1.1180 +
  1.1181 +    z2 = (INT32) wsptr[2];
  1.1182 +    z3 = (INT32) wsptr[6];
  1.1183 +
  1.1184 +    z1 = MULTIPLY(z2 + z3, FIX(0.831253876));    /* c6 */
  1.1185 +    tmp12 = z1 + MULTIPLY(z2, FIX(0.513743148)); /* c2-c6 */
  1.1186 +    tmp13 = z1 - MULTIPLY(z3, FIX(2.176250899)); /* c2+c6 */
  1.1187 +
  1.1188 +    tmp20 = tmp10 + tmp12;
  1.1189 +    tmp24 = tmp10 - tmp12;
  1.1190 +    tmp21 = tmp11 + tmp13;
  1.1191 +    tmp23 = tmp11 - tmp13;
  1.1192 +
  1.1193 +    /* Odd part */
  1.1194 +
  1.1195 +    z1 = (INT32) wsptr[1];
  1.1196 +    z2 = (INT32) wsptr[3];
  1.1197 +    z3 = (INT32) wsptr[5];
  1.1198 +    z3 <<= CONST_BITS;
  1.1199 +    z4 = (INT32) wsptr[7];
  1.1200 +
  1.1201 +    tmp11 = z2 + z4;
  1.1202 +    tmp13 = z2 - z4;
  1.1203 +
  1.1204 +    tmp12 = MULTIPLY(tmp13, FIX(0.309016994));        /* (c3-c7)/2 */
  1.1205 +
  1.1206 +    z2 = MULTIPLY(tmp11, FIX(0.951056516));           /* (c3+c7)/2 */
  1.1207 +    z4 = z3 + tmp12;
  1.1208 +
  1.1209 +    tmp10 = MULTIPLY(z1, FIX(1.396802247)) + z2 + z4; /* c1 */
  1.1210 +    tmp14 = MULTIPLY(z1, FIX(0.221231742)) - z2 + z4; /* c9 */
  1.1211 +
  1.1212 +    z2 = MULTIPLY(tmp11, FIX(0.587785252));           /* (c1-c9)/2 */
  1.1213 +    z4 = z3 - tmp12 - (tmp13 << (CONST_BITS - 1));
  1.1214 +
  1.1215 +    tmp12 = ((z1 - tmp13) << CONST_BITS) - z3;
  1.1216 +
  1.1217 +    tmp11 = MULTIPLY(z1, FIX(1.260073511)) - z2 - z4; /* c3 */
  1.1218 +    tmp13 = MULTIPLY(z1, FIX(0.642039522)) - z2 + z4; /* c7 */
  1.1219 +
  1.1220 +    /* Final output stage */
  1.1221 +
  1.1222 +    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.1223 +					      CONST_BITS+PASS1_BITS+3)
  1.1224 +			    & RANGE_MASK];
  1.1225 +    outptr[9] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.1226 +					      CONST_BITS+PASS1_BITS+3)
  1.1227 +			    & RANGE_MASK];
  1.1228 +    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.1229 +					      CONST_BITS+PASS1_BITS+3)
  1.1230 +			    & RANGE_MASK];
  1.1231 +    outptr[8] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.1232 +					      CONST_BITS+PASS1_BITS+3)
  1.1233 +			    & RANGE_MASK];
  1.1234 +    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.1235 +					      CONST_BITS+PASS1_BITS+3)
  1.1236 +			    & RANGE_MASK];
  1.1237 +    outptr[7] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.1238 +					      CONST_BITS+PASS1_BITS+3)
  1.1239 +			    & RANGE_MASK];
  1.1240 +    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.1241 +					      CONST_BITS+PASS1_BITS+3)
  1.1242 +			    & RANGE_MASK];
  1.1243 +    outptr[6] = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.1244 +					      CONST_BITS+PASS1_BITS+3)
  1.1245 +			    & RANGE_MASK];
  1.1246 +    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.1247 +					      CONST_BITS+PASS1_BITS+3)
  1.1248 +			    & RANGE_MASK];
  1.1249 +    outptr[5] = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.1250 +					      CONST_BITS+PASS1_BITS+3)
  1.1251 +			    & RANGE_MASK];
  1.1252 +
  1.1253 +    wsptr += 8;		/* advance pointer to next row */
  1.1254 +  }
  1.1255 +}
  1.1256 +
  1.1257 +
  1.1258 +/*
  1.1259 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.1260 + * producing a 11x11 output block.
  1.1261 + *
  1.1262 + * Optimized algorithm with 24 multiplications in the 1-D kernel.
  1.1263 + * cK represents sqrt(2) * cos(K*pi/22).
  1.1264 + */
  1.1265 +
  1.1266 +GLOBAL(void)
  1.1267 +jpeg_idct_11x11 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.1268 +		 JCOEFPTR coef_block,
  1.1269 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.1270 +{
  1.1271 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14;
  1.1272 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25;
  1.1273 +  INT32 z1, z2, z3, z4;
  1.1274 +  JCOEFPTR inptr;
  1.1275 +  ISLOW_MULT_TYPE * quantptr;
  1.1276 +  int * wsptr;
  1.1277 +  JSAMPROW outptr;
  1.1278 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.1279 +  int ctr;
  1.1280 +  int workspace[8*11];	/* buffers data between passes */
  1.1281 +  SHIFT_TEMPS
  1.1282 +
  1.1283 +  /* Pass 1: process columns from input, store into work array. */
  1.1284 +
  1.1285 +  inptr = coef_block;
  1.1286 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.1287 +  wsptr = workspace;
  1.1288 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.1289 +    /* Even part */
  1.1290 +
  1.1291 +    tmp10 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.1292 +    tmp10 <<= CONST_BITS;
  1.1293 +    /* Add fudge factor here for final descale. */
  1.1294 +    tmp10 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.1295 +
  1.1296 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.1297 +    z2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.1298 +    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.1299 +
  1.1300 +    tmp20 = MULTIPLY(z2 - z3, FIX(2.546640132));     /* c2+c4 */
  1.1301 +    tmp23 = MULTIPLY(z2 - z1, FIX(0.430815045));     /* c2-c6 */
  1.1302 +    z4 = z1 + z3;
  1.1303 +    tmp24 = MULTIPLY(z4, - FIX(1.155664402));        /* -(c2-c10) */
  1.1304 +    z4 -= z2;
  1.1305 +    tmp25 = tmp10 + MULTIPLY(z4, FIX(1.356927976));  /* c2 */
  1.1306 +    tmp21 = tmp20 + tmp23 + tmp25 -
  1.1307 +	    MULTIPLY(z2, FIX(1.821790775));          /* c2+c4+c10-c6 */
  1.1308 +    tmp20 += tmp25 + MULTIPLY(z3, FIX(2.115825087)); /* c4+c6 */
  1.1309 +    tmp23 += tmp25 - MULTIPLY(z1, FIX(1.513598477)); /* c6+c8 */
  1.1310 +    tmp24 += tmp25;
  1.1311 +    tmp22 = tmp24 - MULTIPLY(z3, FIX(0.788749120));  /* c8+c10 */
  1.1312 +    tmp24 += MULTIPLY(z2, FIX(1.944413522)) -        /* c2+c8 */
  1.1313 +	     MULTIPLY(z1, FIX(1.390975730));         /* c4+c10 */
  1.1314 +    tmp25 = tmp10 - MULTIPLY(z4, FIX(1.414213562));  /* c0 */
  1.1315 +
  1.1316 +    /* Odd part */
  1.1317 +
  1.1318 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.1319 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.1320 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.1321 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.1322 +
  1.1323 +    tmp11 = z1 + z2;
  1.1324 +    tmp14 = MULTIPLY(tmp11 + z3 + z4, FIX(0.398430003)); /* c9 */
  1.1325 +    tmp11 = MULTIPLY(tmp11, FIX(0.887983902));           /* c3-c9 */
  1.1326 +    tmp12 = MULTIPLY(z1 + z3, FIX(0.670361295));         /* c5-c9 */
  1.1327 +    tmp13 = tmp14 + MULTIPLY(z1 + z4, FIX(0.366151574)); /* c7-c9 */
  1.1328 +    tmp10 = tmp11 + tmp12 + tmp13 -
  1.1329 +	    MULTIPLY(z1, FIX(0.923107866));              /* c7+c5+c3-c1-2*c9 */
  1.1330 +    z1    = tmp14 - MULTIPLY(z2 + z3, FIX(1.163011579)); /* c7+c9 */
  1.1331 +    tmp11 += z1 + MULTIPLY(z2, FIX(2.073276588));        /* c1+c7+3*c9-c3 */
  1.1332 +    tmp12 += z1 - MULTIPLY(z3, FIX(1.192193623));        /* c3+c5-c7-c9 */
  1.1333 +    z1    = MULTIPLY(z2 + z4, - FIX(1.798248910));       /* -(c1+c9) */
  1.1334 +    tmp11 += z1;
  1.1335 +    tmp13 += z1 + MULTIPLY(z4, FIX(2.102458632));        /* c1+c5+c9-c7 */
  1.1336 +    tmp14 += MULTIPLY(z2, - FIX(1.467221301)) +          /* -(c5+c9) */
  1.1337 +	     MULTIPLY(z3, FIX(1.001388905)) -            /* c1-c9 */
  1.1338 +	     MULTIPLY(z4, FIX(1.684843907));             /* c3+c9 */
  1.1339 +
  1.1340 +    /* Final output stage */
  1.1341 +
  1.1342 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.1343 +    wsptr[8*10] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.1344 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.1345 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.1346 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
  1.1347 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
  1.1348 +    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
  1.1349 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
  1.1350 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.1351 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.1352 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25, CONST_BITS-PASS1_BITS);
  1.1353 +  }
  1.1354 +
  1.1355 +  /* Pass 2: process 11 rows from work array, store into output array. */
  1.1356 +
  1.1357 +  wsptr = workspace;
  1.1358 +  for (ctr = 0; ctr < 11; ctr++) {
  1.1359 +    outptr = output_buf[ctr] + output_col;
  1.1360 +
  1.1361 +    /* Even part */
  1.1362 +
  1.1363 +    /* Add fudge factor here for final descale. */
  1.1364 +    tmp10 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.1365 +    tmp10 <<= CONST_BITS;
  1.1366 +
  1.1367 +    z1 = (INT32) wsptr[2];
  1.1368 +    z2 = (INT32) wsptr[4];
  1.1369 +    z3 = (INT32) wsptr[6];
  1.1370 +
  1.1371 +    tmp20 = MULTIPLY(z2 - z3, FIX(2.546640132));     /* c2+c4 */
  1.1372 +    tmp23 = MULTIPLY(z2 - z1, FIX(0.430815045));     /* c2-c6 */
  1.1373 +    z4 = z1 + z3;
  1.1374 +    tmp24 = MULTIPLY(z4, - FIX(1.155664402));        /* -(c2-c10) */
  1.1375 +    z4 -= z2;
  1.1376 +    tmp25 = tmp10 + MULTIPLY(z4, FIX(1.356927976));  /* c2 */
  1.1377 +    tmp21 = tmp20 + tmp23 + tmp25 -
  1.1378 +	    MULTIPLY(z2, FIX(1.821790775));          /* c2+c4+c10-c6 */
  1.1379 +    tmp20 += tmp25 + MULTIPLY(z3, FIX(2.115825087)); /* c4+c6 */
  1.1380 +    tmp23 += tmp25 - MULTIPLY(z1, FIX(1.513598477)); /* c6+c8 */
  1.1381 +    tmp24 += tmp25;
  1.1382 +    tmp22 = tmp24 - MULTIPLY(z3, FIX(0.788749120));  /* c8+c10 */
  1.1383 +    tmp24 += MULTIPLY(z2, FIX(1.944413522)) -        /* c2+c8 */
  1.1384 +	     MULTIPLY(z1, FIX(1.390975730));         /* c4+c10 */
  1.1385 +    tmp25 = tmp10 - MULTIPLY(z4, FIX(1.414213562));  /* c0 */
  1.1386 +
  1.1387 +    /* Odd part */
  1.1388 +
  1.1389 +    z1 = (INT32) wsptr[1];
  1.1390 +    z2 = (INT32) wsptr[3];
  1.1391 +    z3 = (INT32) wsptr[5];
  1.1392 +    z4 = (INT32) wsptr[7];
  1.1393 +
  1.1394 +    tmp11 = z1 + z2;
  1.1395 +    tmp14 = MULTIPLY(tmp11 + z3 + z4, FIX(0.398430003)); /* c9 */
  1.1396 +    tmp11 = MULTIPLY(tmp11, FIX(0.887983902));           /* c3-c9 */
  1.1397 +    tmp12 = MULTIPLY(z1 + z3, FIX(0.670361295));         /* c5-c9 */
  1.1398 +    tmp13 = tmp14 + MULTIPLY(z1 + z4, FIX(0.366151574)); /* c7-c9 */
  1.1399 +    tmp10 = tmp11 + tmp12 + tmp13 -
  1.1400 +	    MULTIPLY(z1, FIX(0.923107866));              /* c7+c5+c3-c1-2*c9 */
  1.1401 +    z1    = tmp14 - MULTIPLY(z2 + z3, FIX(1.163011579)); /* c7+c9 */
  1.1402 +    tmp11 += z1 + MULTIPLY(z2, FIX(2.073276588));        /* c1+c7+3*c9-c3 */
  1.1403 +    tmp12 += z1 - MULTIPLY(z3, FIX(1.192193623));        /* c3+c5-c7-c9 */
  1.1404 +    z1    = MULTIPLY(z2 + z4, - FIX(1.798248910));       /* -(c1+c9) */
  1.1405 +    tmp11 += z1;
  1.1406 +    tmp13 += z1 + MULTIPLY(z4, FIX(2.102458632));        /* c1+c5+c9-c7 */
  1.1407 +    tmp14 += MULTIPLY(z2, - FIX(1.467221301)) +          /* -(c5+c9) */
  1.1408 +	     MULTIPLY(z3, FIX(1.001388905)) -            /* c1-c9 */
  1.1409 +	     MULTIPLY(z4, FIX(1.684843907));             /* c3+c9 */
  1.1410 +
  1.1411 +    /* Final output stage */
  1.1412 +
  1.1413 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.1414 +					       CONST_BITS+PASS1_BITS+3)
  1.1415 +			     & RANGE_MASK];
  1.1416 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.1417 +					       CONST_BITS+PASS1_BITS+3)
  1.1418 +			     & RANGE_MASK];
  1.1419 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.1420 +					       CONST_BITS+PASS1_BITS+3)
  1.1421 +			     & RANGE_MASK];
  1.1422 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.1423 +					       CONST_BITS+PASS1_BITS+3)
  1.1424 +			     & RANGE_MASK];
  1.1425 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.1426 +					       CONST_BITS+PASS1_BITS+3)
  1.1427 +			     & RANGE_MASK];
  1.1428 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.1429 +					       CONST_BITS+PASS1_BITS+3)
  1.1430 +			     & RANGE_MASK];
  1.1431 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.1432 +					       CONST_BITS+PASS1_BITS+3)
  1.1433 +			     & RANGE_MASK];
  1.1434 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.1435 +					       CONST_BITS+PASS1_BITS+3)
  1.1436 +			     & RANGE_MASK];
  1.1437 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.1438 +					       CONST_BITS+PASS1_BITS+3)
  1.1439 +			     & RANGE_MASK];
  1.1440 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.1441 +					       CONST_BITS+PASS1_BITS+3)
  1.1442 +			     & RANGE_MASK];
  1.1443 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25,
  1.1444 +					       CONST_BITS+PASS1_BITS+3)
  1.1445 +			     & RANGE_MASK];
  1.1446 +
  1.1447 +    wsptr += 8;		/* advance pointer to next row */
  1.1448 +  }
  1.1449 +}
  1.1450 +
  1.1451 +
  1.1452 +/*
  1.1453 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.1454 + * producing a 12x12 output block.
  1.1455 + *
  1.1456 + * Optimized algorithm with 15 multiplications in the 1-D kernel.
  1.1457 + * cK represents sqrt(2) * cos(K*pi/24).
  1.1458 + */
  1.1459 +
  1.1460 +GLOBAL(void)
  1.1461 +jpeg_idct_12x12 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.1462 +		 JCOEFPTR coef_block,
  1.1463 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.1464 +{
  1.1465 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15;
  1.1466 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25;
  1.1467 +  INT32 z1, z2, z3, z4;
  1.1468 +  JCOEFPTR inptr;
  1.1469 +  ISLOW_MULT_TYPE * quantptr;
  1.1470 +  int * wsptr;
  1.1471 +  JSAMPROW outptr;
  1.1472 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.1473 +  int ctr;
  1.1474 +  int workspace[8*12];	/* buffers data between passes */
  1.1475 +  SHIFT_TEMPS
  1.1476 +
  1.1477 +  /* Pass 1: process columns from input, store into work array. */
  1.1478 +
  1.1479 +  inptr = coef_block;
  1.1480 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.1481 +  wsptr = workspace;
  1.1482 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.1483 +    /* Even part */
  1.1484 +
  1.1485 +    z3 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.1486 +    z3 <<= CONST_BITS;
  1.1487 +    /* Add fudge factor here for final descale. */
  1.1488 +    z3 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.1489 +
  1.1490 +    z4 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.1491 +    z4 = MULTIPLY(z4, FIX(1.224744871)); /* c4 */
  1.1492 +
  1.1493 +    tmp10 = z3 + z4;
  1.1494 +    tmp11 = z3 - z4;
  1.1495 +
  1.1496 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.1497 +    z4 = MULTIPLY(z1, FIX(1.366025404)); /* c2 */
  1.1498 +    z1 <<= CONST_BITS;
  1.1499 +    z2 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.1500 +    z2 <<= CONST_BITS;
  1.1501 +
  1.1502 +    tmp12 = z1 - z2;
  1.1503 +
  1.1504 +    tmp21 = z3 + tmp12;
  1.1505 +    tmp24 = z3 - tmp12;
  1.1506 +
  1.1507 +    tmp12 = z4 + z2;
  1.1508 +
  1.1509 +    tmp20 = tmp10 + tmp12;
  1.1510 +    tmp25 = tmp10 - tmp12;
  1.1511 +
  1.1512 +    tmp12 = z4 - z1 - z2;
  1.1513 +
  1.1514 +    tmp22 = tmp11 + tmp12;
  1.1515 +    tmp23 = tmp11 - tmp12;
  1.1516 +
  1.1517 +    /* Odd part */
  1.1518 +
  1.1519 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.1520 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.1521 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.1522 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.1523 +
  1.1524 +    tmp11 = MULTIPLY(z2, FIX(1.306562965));                  /* c3 */
  1.1525 +    tmp14 = MULTIPLY(z2, - FIX_0_541196100);                 /* -c9 */
  1.1526 +
  1.1527 +    tmp10 = z1 + z3;
  1.1528 +    tmp15 = MULTIPLY(tmp10 + z4, FIX(0.860918669));          /* c7 */
  1.1529 +    tmp12 = tmp15 + MULTIPLY(tmp10, FIX(0.261052384));       /* c5-c7 */
  1.1530 +    tmp10 = tmp12 + tmp11 + MULTIPLY(z1, FIX(0.280143716));  /* c1-c5 */
  1.1531 +    tmp13 = MULTIPLY(z3 + z4, - FIX(1.045510580));           /* -(c7+c11) */
  1.1532 +    tmp12 += tmp13 + tmp14 - MULTIPLY(z3, FIX(1.478575242)); /* c1+c5-c7-c11 */
  1.1533 +    tmp13 += tmp15 - tmp11 + MULTIPLY(z4, FIX(1.586706681)); /* c1+c11 */
  1.1534 +    tmp15 += tmp14 - MULTIPLY(z1, FIX(0.676326758)) -        /* c7-c11 */
  1.1535 +	     MULTIPLY(z4, FIX(1.982889723));                 /* c5+c7 */
  1.1536 +
  1.1537 +    z1 -= z4;
  1.1538 +    z2 -= z3;
  1.1539 +    z3 = MULTIPLY(z1 + z2, FIX_0_541196100);                 /* c9 */
  1.1540 +    tmp11 = z3 + MULTIPLY(z1, FIX_0_765366865);              /* c3-c9 */
  1.1541 +    tmp14 = z3 - MULTIPLY(z2, FIX_1_847759065);              /* c3+c9 */
  1.1542 +
  1.1543 +    /* Final output stage */
  1.1544 +
  1.1545 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.1546 +    wsptr[8*11] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.1547 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.1548 +    wsptr[8*10] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.1549 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
  1.1550 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
  1.1551 +    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
  1.1552 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
  1.1553 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.1554 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.1555 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp15, CONST_BITS-PASS1_BITS);
  1.1556 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp25 - tmp15, CONST_BITS-PASS1_BITS);
  1.1557 +  }
  1.1558 +
  1.1559 +  /* Pass 2: process 12 rows from work array, store into output array. */
  1.1560 +
  1.1561 +  wsptr = workspace;
  1.1562 +  for (ctr = 0; ctr < 12; ctr++) {
  1.1563 +    outptr = output_buf[ctr] + output_col;
  1.1564 +
  1.1565 +    /* Even part */
  1.1566 +
  1.1567 +    /* Add fudge factor here for final descale. */
  1.1568 +    z3 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.1569 +    z3 <<= CONST_BITS;
  1.1570 +
  1.1571 +    z4 = (INT32) wsptr[4];
  1.1572 +    z4 = MULTIPLY(z4, FIX(1.224744871)); /* c4 */
  1.1573 +
  1.1574 +    tmp10 = z3 + z4;
  1.1575 +    tmp11 = z3 - z4;
  1.1576 +
  1.1577 +    z1 = (INT32) wsptr[2];
  1.1578 +    z4 = MULTIPLY(z1, FIX(1.366025404)); /* c2 */
  1.1579 +    z1 <<= CONST_BITS;
  1.1580 +    z2 = (INT32) wsptr[6];
  1.1581 +    z2 <<= CONST_BITS;
  1.1582 +
  1.1583 +    tmp12 = z1 - z2;
  1.1584 +
  1.1585 +    tmp21 = z3 + tmp12;
  1.1586 +    tmp24 = z3 - tmp12;
  1.1587 +
  1.1588 +    tmp12 = z4 + z2;
  1.1589 +
  1.1590 +    tmp20 = tmp10 + tmp12;
  1.1591 +    tmp25 = tmp10 - tmp12;
  1.1592 +
  1.1593 +    tmp12 = z4 - z1 - z2;
  1.1594 +
  1.1595 +    tmp22 = tmp11 + tmp12;
  1.1596 +    tmp23 = tmp11 - tmp12;
  1.1597 +
  1.1598 +    /* Odd part */
  1.1599 +
  1.1600 +    z1 = (INT32) wsptr[1];
  1.1601 +    z2 = (INT32) wsptr[3];
  1.1602 +    z3 = (INT32) wsptr[5];
  1.1603 +    z4 = (INT32) wsptr[7];
  1.1604 +
  1.1605 +    tmp11 = MULTIPLY(z2, FIX(1.306562965));                  /* c3 */
  1.1606 +    tmp14 = MULTIPLY(z2, - FIX_0_541196100);                 /* -c9 */
  1.1607 +
  1.1608 +    tmp10 = z1 + z3;
  1.1609 +    tmp15 = MULTIPLY(tmp10 + z4, FIX(0.860918669));          /* c7 */
  1.1610 +    tmp12 = tmp15 + MULTIPLY(tmp10, FIX(0.261052384));       /* c5-c7 */
  1.1611 +    tmp10 = tmp12 + tmp11 + MULTIPLY(z1, FIX(0.280143716));  /* c1-c5 */
  1.1612 +    tmp13 = MULTIPLY(z3 + z4, - FIX(1.045510580));           /* -(c7+c11) */
  1.1613 +    tmp12 += tmp13 + tmp14 - MULTIPLY(z3, FIX(1.478575242)); /* c1+c5-c7-c11 */
  1.1614 +    tmp13 += tmp15 - tmp11 + MULTIPLY(z4, FIX(1.586706681)); /* c1+c11 */
  1.1615 +    tmp15 += tmp14 - MULTIPLY(z1, FIX(0.676326758)) -        /* c7-c11 */
  1.1616 +	     MULTIPLY(z4, FIX(1.982889723));                 /* c5+c7 */
  1.1617 +
  1.1618 +    z1 -= z4;
  1.1619 +    z2 -= z3;
  1.1620 +    z3 = MULTIPLY(z1 + z2, FIX_0_541196100);                 /* c9 */
  1.1621 +    tmp11 = z3 + MULTIPLY(z1, FIX_0_765366865);              /* c3-c9 */
  1.1622 +    tmp14 = z3 - MULTIPLY(z2, FIX_1_847759065);              /* c3+c9 */
  1.1623 +
  1.1624 +    /* Final output stage */
  1.1625 +
  1.1626 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.1627 +					       CONST_BITS+PASS1_BITS+3)
  1.1628 +			     & RANGE_MASK];
  1.1629 +    outptr[11] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.1630 +					       CONST_BITS+PASS1_BITS+3)
  1.1631 +			     & RANGE_MASK];
  1.1632 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.1633 +					       CONST_BITS+PASS1_BITS+3)
  1.1634 +			     & RANGE_MASK];
  1.1635 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.1636 +					       CONST_BITS+PASS1_BITS+3)
  1.1637 +			     & RANGE_MASK];
  1.1638 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.1639 +					       CONST_BITS+PASS1_BITS+3)
  1.1640 +			     & RANGE_MASK];
  1.1641 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.1642 +					       CONST_BITS+PASS1_BITS+3)
  1.1643 +			     & RANGE_MASK];
  1.1644 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.1645 +					       CONST_BITS+PASS1_BITS+3)
  1.1646 +			     & RANGE_MASK];
  1.1647 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.1648 +					       CONST_BITS+PASS1_BITS+3)
  1.1649 +			     & RANGE_MASK];
  1.1650 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.1651 +					       CONST_BITS+PASS1_BITS+3)
  1.1652 +			     & RANGE_MASK];
  1.1653 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.1654 +					       CONST_BITS+PASS1_BITS+3)
  1.1655 +			     & RANGE_MASK];
  1.1656 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25 + tmp15,
  1.1657 +					       CONST_BITS+PASS1_BITS+3)
  1.1658 +			     & RANGE_MASK];
  1.1659 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp25 - tmp15,
  1.1660 +					       CONST_BITS+PASS1_BITS+3)
  1.1661 +			     & RANGE_MASK];
  1.1662 +
  1.1663 +    wsptr += 8;		/* advance pointer to next row */
  1.1664 +  }
  1.1665 +}
  1.1666 +
  1.1667 +
  1.1668 +/*
  1.1669 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.1670 + * producing a 13x13 output block.
  1.1671 + *
  1.1672 + * Optimized algorithm with 29 multiplications in the 1-D kernel.
  1.1673 + * cK represents sqrt(2) * cos(K*pi/26).
  1.1674 + */
  1.1675 +
  1.1676 +GLOBAL(void)
  1.1677 +jpeg_idct_13x13 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.1678 +		 JCOEFPTR coef_block,
  1.1679 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.1680 +{
  1.1681 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15;
  1.1682 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25, tmp26;
  1.1683 +  INT32 z1, z2, z3, z4;
  1.1684 +  JCOEFPTR inptr;
  1.1685 +  ISLOW_MULT_TYPE * quantptr;
  1.1686 +  int * wsptr;
  1.1687 +  JSAMPROW outptr;
  1.1688 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.1689 +  int ctr;
  1.1690 +  int workspace[8*13];	/* buffers data between passes */
  1.1691 +  SHIFT_TEMPS
  1.1692 +
  1.1693 +  /* Pass 1: process columns from input, store into work array. */
  1.1694 +
  1.1695 +  inptr = coef_block;
  1.1696 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.1697 +  wsptr = workspace;
  1.1698 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.1699 +    /* Even part */
  1.1700 +
  1.1701 +    z1 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.1702 +    z1 <<= CONST_BITS;
  1.1703 +    /* Add fudge factor here for final descale. */
  1.1704 +    z1 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.1705 +
  1.1706 +    z2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.1707 +    z3 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.1708 +    z4 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.1709 +
  1.1710 +    tmp10 = z3 + z4;
  1.1711 +    tmp11 = z3 - z4;
  1.1712 +
  1.1713 +    tmp12 = MULTIPLY(tmp10, FIX(1.155388986));                /* (c4+c6)/2 */
  1.1714 +    tmp13 = MULTIPLY(tmp11, FIX(0.096834934)) + z1;           /* (c4-c6)/2 */
  1.1715 +
  1.1716 +    tmp20 = MULTIPLY(z2, FIX(1.373119086)) + tmp12 + tmp13;   /* c2 */
  1.1717 +    tmp22 = MULTIPLY(z2, FIX(0.501487041)) - tmp12 + tmp13;   /* c10 */
  1.1718 +
  1.1719 +    tmp12 = MULTIPLY(tmp10, FIX(0.316450131));                /* (c8-c12)/2 */
  1.1720 +    tmp13 = MULTIPLY(tmp11, FIX(0.486914739)) + z1;           /* (c8+c12)/2 */
  1.1721 +
  1.1722 +    tmp21 = MULTIPLY(z2, FIX(1.058554052)) - tmp12 + tmp13;   /* c6 */
  1.1723 +    tmp25 = MULTIPLY(z2, - FIX(1.252223920)) + tmp12 + tmp13; /* c4 */
  1.1724 +
  1.1725 +    tmp12 = MULTIPLY(tmp10, FIX(0.435816023));                /* (c2-c10)/2 */
  1.1726 +    tmp13 = MULTIPLY(tmp11, FIX(0.937303064)) - z1;           /* (c2+c10)/2 */
  1.1727 +
  1.1728 +    tmp23 = MULTIPLY(z2, - FIX(0.170464608)) - tmp12 - tmp13; /* c12 */
  1.1729 +    tmp24 = MULTIPLY(z2, - FIX(0.803364869)) + tmp12 - tmp13; /* c8 */
  1.1730 +
  1.1731 +    tmp26 = MULTIPLY(tmp11 - z2, FIX(1.414213562)) + z1;      /* c0 */
  1.1732 +
  1.1733 +    /* Odd part */
  1.1734 +
  1.1735 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.1736 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.1737 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.1738 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.1739 +
  1.1740 +    tmp11 = MULTIPLY(z1 + z2, FIX(1.322312651));     /* c3 */
  1.1741 +    tmp12 = MULTIPLY(z1 + z3, FIX(1.163874945));     /* c5 */
  1.1742 +    tmp15 = z1 + z4;
  1.1743 +    tmp13 = MULTIPLY(tmp15, FIX(0.937797057));       /* c7 */
  1.1744 +    tmp10 = tmp11 + tmp12 + tmp13 -
  1.1745 +	    MULTIPLY(z1, FIX(2.020082300));          /* c7+c5+c3-c1 */
  1.1746 +    tmp14 = MULTIPLY(z2 + z3, - FIX(0.338443458));   /* -c11 */
  1.1747 +    tmp11 += tmp14 + MULTIPLY(z2, FIX(0.837223564)); /* c5+c9+c11-c3 */
  1.1748 +    tmp12 += tmp14 - MULTIPLY(z3, FIX(1.572116027)); /* c1+c5-c9-c11 */
  1.1749 +    tmp14 = MULTIPLY(z2 + z4, - FIX(1.163874945));   /* -c5 */
  1.1750 +    tmp11 += tmp14;
  1.1751 +    tmp13 += tmp14 + MULTIPLY(z4, FIX(2.205608352)); /* c3+c5+c9-c7 */
  1.1752 +    tmp14 = MULTIPLY(z3 + z4, - FIX(0.657217813));   /* -c9 */
  1.1753 +    tmp12 += tmp14;
  1.1754 +    tmp13 += tmp14;
  1.1755 +    tmp15 = MULTIPLY(tmp15, FIX(0.338443458));       /* c11 */
  1.1756 +    tmp14 = tmp15 + MULTIPLY(z1, FIX(0.318774355)) - /* c9-c11 */
  1.1757 +	    MULTIPLY(z2, FIX(0.466105296));          /* c1-c7 */
  1.1758 +    z1    = MULTIPLY(z3 - z2, FIX(0.937797057));     /* c7 */
  1.1759 +    tmp14 += z1;
  1.1760 +    tmp15 += z1 + MULTIPLY(z3, FIX(0.384515595)) -   /* c3-c7 */
  1.1761 +	     MULTIPLY(z4, FIX(1.742345811));         /* c1+c11 */
  1.1762 +
  1.1763 +    /* Final output stage */
  1.1764 +
  1.1765 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.1766 +    wsptr[8*12] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.1767 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.1768 +    wsptr[8*11] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.1769 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
  1.1770 +    wsptr[8*10] = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
  1.1771 +    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
  1.1772 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
  1.1773 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.1774 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.1775 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp15, CONST_BITS-PASS1_BITS);
  1.1776 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp25 - tmp15, CONST_BITS-PASS1_BITS);
  1.1777 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp26, CONST_BITS-PASS1_BITS);
  1.1778 +  }
  1.1779 +
  1.1780 +  /* Pass 2: process 13 rows from work array, store into output array. */
  1.1781 +
  1.1782 +  wsptr = workspace;
  1.1783 +  for (ctr = 0; ctr < 13; ctr++) {
  1.1784 +    outptr = output_buf[ctr] + output_col;
  1.1785 +
  1.1786 +    /* Even part */
  1.1787 +
  1.1788 +    /* Add fudge factor here for final descale. */
  1.1789 +    z1 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.1790 +    z1 <<= CONST_BITS;
  1.1791 +
  1.1792 +    z2 = (INT32) wsptr[2];
  1.1793 +    z3 = (INT32) wsptr[4];
  1.1794 +    z4 = (INT32) wsptr[6];
  1.1795 +
  1.1796 +    tmp10 = z3 + z4;
  1.1797 +    tmp11 = z3 - z4;
  1.1798 +
  1.1799 +    tmp12 = MULTIPLY(tmp10, FIX(1.155388986));                /* (c4+c6)/2 */
  1.1800 +    tmp13 = MULTIPLY(tmp11, FIX(0.096834934)) + z1;           /* (c4-c6)/2 */
  1.1801 +
  1.1802 +    tmp20 = MULTIPLY(z2, FIX(1.373119086)) + tmp12 + tmp13;   /* c2 */
  1.1803 +    tmp22 = MULTIPLY(z2, FIX(0.501487041)) - tmp12 + tmp13;   /* c10 */
  1.1804 +
  1.1805 +    tmp12 = MULTIPLY(tmp10, FIX(0.316450131));                /* (c8-c12)/2 */
  1.1806 +    tmp13 = MULTIPLY(tmp11, FIX(0.486914739)) + z1;           /* (c8+c12)/2 */
  1.1807 +
  1.1808 +    tmp21 = MULTIPLY(z2, FIX(1.058554052)) - tmp12 + tmp13;   /* c6 */
  1.1809 +    tmp25 = MULTIPLY(z2, - FIX(1.252223920)) + tmp12 + tmp13; /* c4 */
  1.1810 +
  1.1811 +    tmp12 = MULTIPLY(tmp10, FIX(0.435816023));                /* (c2-c10)/2 */
  1.1812 +    tmp13 = MULTIPLY(tmp11, FIX(0.937303064)) - z1;           /* (c2+c10)/2 */
  1.1813 +
  1.1814 +    tmp23 = MULTIPLY(z2, - FIX(0.170464608)) - tmp12 - tmp13; /* c12 */
  1.1815 +    tmp24 = MULTIPLY(z2, - FIX(0.803364869)) + tmp12 - tmp13; /* c8 */
  1.1816 +
  1.1817 +    tmp26 = MULTIPLY(tmp11 - z2, FIX(1.414213562)) + z1;      /* c0 */
  1.1818 +
  1.1819 +    /* Odd part */
  1.1820 +
  1.1821 +    z1 = (INT32) wsptr[1];
  1.1822 +    z2 = (INT32) wsptr[3];
  1.1823 +    z3 = (INT32) wsptr[5];
  1.1824 +    z4 = (INT32) wsptr[7];
  1.1825 +
  1.1826 +    tmp11 = MULTIPLY(z1 + z2, FIX(1.322312651));     /* c3 */
  1.1827 +    tmp12 = MULTIPLY(z1 + z3, FIX(1.163874945));     /* c5 */
  1.1828 +    tmp15 = z1 + z4;
  1.1829 +    tmp13 = MULTIPLY(tmp15, FIX(0.937797057));       /* c7 */
  1.1830 +    tmp10 = tmp11 + tmp12 + tmp13 -
  1.1831 +	    MULTIPLY(z1, FIX(2.020082300));          /* c7+c5+c3-c1 */
  1.1832 +    tmp14 = MULTIPLY(z2 + z3, - FIX(0.338443458));   /* -c11 */
  1.1833 +    tmp11 += tmp14 + MULTIPLY(z2, FIX(0.837223564)); /* c5+c9+c11-c3 */
  1.1834 +    tmp12 += tmp14 - MULTIPLY(z3, FIX(1.572116027)); /* c1+c5-c9-c11 */
  1.1835 +    tmp14 = MULTIPLY(z2 + z4, - FIX(1.163874945));   /* -c5 */
  1.1836 +    tmp11 += tmp14;
  1.1837 +    tmp13 += tmp14 + MULTIPLY(z4, FIX(2.205608352)); /* c3+c5+c9-c7 */
  1.1838 +    tmp14 = MULTIPLY(z3 + z4, - FIX(0.657217813));   /* -c9 */
  1.1839 +    tmp12 += tmp14;
  1.1840 +    tmp13 += tmp14;
  1.1841 +    tmp15 = MULTIPLY(tmp15, FIX(0.338443458));       /* c11 */
  1.1842 +    tmp14 = tmp15 + MULTIPLY(z1, FIX(0.318774355)) - /* c9-c11 */
  1.1843 +	    MULTIPLY(z2, FIX(0.466105296));          /* c1-c7 */
  1.1844 +    z1    = MULTIPLY(z3 - z2, FIX(0.937797057));     /* c7 */
  1.1845 +    tmp14 += z1;
  1.1846 +    tmp15 += z1 + MULTIPLY(z3, FIX(0.384515595)) -   /* c3-c7 */
  1.1847 +	     MULTIPLY(z4, FIX(1.742345811));         /* c1+c11 */
  1.1848 +
  1.1849 +    /* Final output stage */
  1.1850 +
  1.1851 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.1852 +					       CONST_BITS+PASS1_BITS+3)
  1.1853 +			     & RANGE_MASK];
  1.1854 +    outptr[12] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.1855 +					       CONST_BITS+PASS1_BITS+3)
  1.1856 +			     & RANGE_MASK];
  1.1857 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.1858 +					       CONST_BITS+PASS1_BITS+3)
  1.1859 +			     & RANGE_MASK];
  1.1860 +    outptr[11] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.1861 +					       CONST_BITS+PASS1_BITS+3)
  1.1862 +			     & RANGE_MASK];
  1.1863 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.1864 +					       CONST_BITS+PASS1_BITS+3)
  1.1865 +			     & RANGE_MASK];
  1.1866 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.1867 +					       CONST_BITS+PASS1_BITS+3)
  1.1868 +			     & RANGE_MASK];
  1.1869 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.1870 +					       CONST_BITS+PASS1_BITS+3)
  1.1871 +			     & RANGE_MASK];
  1.1872 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.1873 +					       CONST_BITS+PASS1_BITS+3)
  1.1874 +			     & RANGE_MASK];
  1.1875 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.1876 +					       CONST_BITS+PASS1_BITS+3)
  1.1877 +			     & RANGE_MASK];
  1.1878 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.1879 +					       CONST_BITS+PASS1_BITS+3)
  1.1880 +			     & RANGE_MASK];
  1.1881 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25 + tmp15,
  1.1882 +					       CONST_BITS+PASS1_BITS+3)
  1.1883 +			     & RANGE_MASK];
  1.1884 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp25 - tmp15,
  1.1885 +					       CONST_BITS+PASS1_BITS+3)
  1.1886 +			     & RANGE_MASK];
  1.1887 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp26,
  1.1888 +					       CONST_BITS+PASS1_BITS+3)
  1.1889 +			     & RANGE_MASK];
  1.1890 +
  1.1891 +    wsptr += 8;		/* advance pointer to next row */
  1.1892 +  }
  1.1893 +}
  1.1894 +
  1.1895 +
  1.1896 +/*
  1.1897 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.1898 + * producing a 14x14 output block.
  1.1899 + *
  1.1900 + * Optimized algorithm with 20 multiplications in the 1-D kernel.
  1.1901 + * cK represents sqrt(2) * cos(K*pi/28).
  1.1902 + */
  1.1903 +
  1.1904 +GLOBAL(void)
  1.1905 +jpeg_idct_14x14 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.1906 +		 JCOEFPTR coef_block,
  1.1907 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.1908 +{
  1.1909 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16;
  1.1910 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25, tmp26;
  1.1911 +  INT32 z1, z2, z3, z4;
  1.1912 +  JCOEFPTR inptr;
  1.1913 +  ISLOW_MULT_TYPE * quantptr;
  1.1914 +  int * wsptr;
  1.1915 +  JSAMPROW outptr;
  1.1916 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.1917 +  int ctr;
  1.1918 +  int workspace[8*14];	/* buffers data between passes */
  1.1919 +  SHIFT_TEMPS
  1.1920 +
  1.1921 +  /* Pass 1: process columns from input, store into work array. */
  1.1922 +
  1.1923 +  inptr = coef_block;
  1.1924 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.1925 +  wsptr = workspace;
  1.1926 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.1927 +    /* Even part */
  1.1928 +
  1.1929 +    z1 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.1930 +    z1 <<= CONST_BITS;
  1.1931 +    /* Add fudge factor here for final descale. */
  1.1932 +    z1 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.1933 +    z4 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.1934 +    z2 = MULTIPLY(z4, FIX(1.274162392));         /* c4 */
  1.1935 +    z3 = MULTIPLY(z4, FIX(0.314692123));         /* c12 */
  1.1936 +    z4 = MULTIPLY(z4, FIX(0.881747734));         /* c8 */
  1.1937 +
  1.1938 +    tmp10 = z1 + z2;
  1.1939 +    tmp11 = z1 + z3;
  1.1940 +    tmp12 = z1 - z4;
  1.1941 +
  1.1942 +    tmp23 = RIGHT_SHIFT(z1 - ((z2 + z3 - z4) << 1), /* c0 = (c4+c12-c8)*2 */
  1.1943 +			CONST_BITS-PASS1_BITS);
  1.1944 +
  1.1945 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.1946 +    z2 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.1947 +
  1.1948 +    z3 = MULTIPLY(z1 + z2, FIX(1.105676686));    /* c6 */
  1.1949 +
  1.1950 +    tmp13 = z3 + MULTIPLY(z1, FIX(0.273079590)); /* c2-c6 */
  1.1951 +    tmp14 = z3 - MULTIPLY(z2, FIX(1.719280954)); /* c6+c10 */
  1.1952 +    tmp15 = MULTIPLY(z1, FIX(0.613604268)) -     /* c10 */
  1.1953 +	    MULTIPLY(z2, FIX(1.378756276));      /* c2 */
  1.1954 +
  1.1955 +    tmp20 = tmp10 + tmp13;
  1.1956 +    tmp26 = tmp10 - tmp13;
  1.1957 +    tmp21 = tmp11 + tmp14;
  1.1958 +    tmp25 = tmp11 - tmp14;
  1.1959 +    tmp22 = tmp12 + tmp15;
  1.1960 +    tmp24 = tmp12 - tmp15;
  1.1961 +
  1.1962 +    /* Odd part */
  1.1963 +
  1.1964 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.1965 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.1966 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.1967 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.1968 +    tmp13 = z4 << CONST_BITS;
  1.1969 +
  1.1970 +    tmp14 = z1 + z3;
  1.1971 +    tmp11 = MULTIPLY(z1 + z2, FIX(1.334852607));           /* c3 */
  1.1972 +    tmp12 = MULTIPLY(tmp14, FIX(1.197448846));             /* c5 */
  1.1973 +    tmp10 = tmp11 + tmp12 + tmp13 - MULTIPLY(z1, FIX(1.126980169)); /* c3+c5-c1 */
  1.1974 +    tmp14 = MULTIPLY(tmp14, FIX(0.752406978));             /* c9 */
  1.1975 +    tmp16 = tmp14 - MULTIPLY(z1, FIX(1.061150426));        /* c9+c11-c13 */
  1.1976 +    z1    -= z2;
  1.1977 +    tmp15 = MULTIPLY(z1, FIX(0.467085129)) - tmp13;        /* c11 */
  1.1978 +    tmp16 += tmp15;
  1.1979 +    z1    += z4;
  1.1980 +    z4    = MULTIPLY(z2 + z3, - FIX(0.158341681)) - tmp13; /* -c13 */
  1.1981 +    tmp11 += z4 - MULTIPLY(z2, FIX(0.424103948));          /* c3-c9-c13 */
  1.1982 +    tmp12 += z4 - MULTIPLY(z3, FIX(2.373959773));          /* c3+c5-c13 */
  1.1983 +    z4    = MULTIPLY(z3 - z2, FIX(1.405321284));           /* c1 */
  1.1984 +    tmp14 += z4 + tmp13 - MULTIPLY(z3, FIX(1.6906431334)); /* c1+c9-c11 */
  1.1985 +    tmp15 += z4 + MULTIPLY(z2, FIX(0.674957567));          /* c1+c11-c5 */
  1.1986 +
  1.1987 +    tmp13 = (z1 - z3) << PASS1_BITS;
  1.1988 +
  1.1989 +    /* Final output stage */
  1.1990 +
  1.1991 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.1992 +    wsptr[8*13] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.1993 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.1994 +    wsptr[8*12] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.1995 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
  1.1996 +    wsptr[8*11] = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
  1.1997 +    wsptr[8*3]  = (int) (tmp23 + tmp13);
  1.1998 +    wsptr[8*10] = (int) (tmp23 - tmp13);
  1.1999 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.2000 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.2001 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp15, CONST_BITS-PASS1_BITS);
  1.2002 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp25 - tmp15, CONST_BITS-PASS1_BITS);
  1.2003 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp26 + tmp16, CONST_BITS-PASS1_BITS);
  1.2004 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp26 - tmp16, CONST_BITS-PASS1_BITS);
  1.2005 +  }
  1.2006 +
  1.2007 +  /* Pass 2: process 14 rows from work array, store into output array. */
  1.2008 +
  1.2009 +  wsptr = workspace;
  1.2010 +  for (ctr = 0; ctr < 14; ctr++) {
  1.2011 +    outptr = output_buf[ctr] + output_col;
  1.2012 +
  1.2013 +    /* Even part */
  1.2014 +
  1.2015 +    /* Add fudge factor here for final descale. */
  1.2016 +    z1 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.2017 +    z1 <<= CONST_BITS;
  1.2018 +    z4 = (INT32) wsptr[4];
  1.2019 +    z2 = MULTIPLY(z4, FIX(1.274162392));         /* c4 */
  1.2020 +    z3 = MULTIPLY(z4, FIX(0.314692123));         /* c12 */
  1.2021 +    z4 = MULTIPLY(z4, FIX(0.881747734));         /* c8 */
  1.2022 +
  1.2023 +    tmp10 = z1 + z2;
  1.2024 +    tmp11 = z1 + z3;
  1.2025 +    tmp12 = z1 - z4;
  1.2026 +
  1.2027 +    tmp23 = z1 - ((z2 + z3 - z4) << 1);          /* c0 = (c4+c12-c8)*2 */
  1.2028 +
  1.2029 +    z1 = (INT32) wsptr[2];
  1.2030 +    z2 = (INT32) wsptr[6];
  1.2031 +
  1.2032 +    z3 = MULTIPLY(z1 + z2, FIX(1.105676686));    /* c6 */
  1.2033 +
  1.2034 +    tmp13 = z3 + MULTIPLY(z1, FIX(0.273079590)); /* c2-c6 */
  1.2035 +    tmp14 = z3 - MULTIPLY(z2, FIX(1.719280954)); /* c6+c10 */
  1.2036 +    tmp15 = MULTIPLY(z1, FIX(0.613604268)) -     /* c10 */
  1.2037 +	    MULTIPLY(z2, FIX(1.378756276));      /* c2 */
  1.2038 +
  1.2039 +    tmp20 = tmp10 + tmp13;
  1.2040 +    tmp26 = tmp10 - tmp13;
  1.2041 +    tmp21 = tmp11 + tmp14;
  1.2042 +    tmp25 = tmp11 - tmp14;
  1.2043 +    tmp22 = tmp12 + tmp15;
  1.2044 +    tmp24 = tmp12 - tmp15;
  1.2045 +
  1.2046 +    /* Odd part */
  1.2047 +
  1.2048 +    z1 = (INT32) wsptr[1];
  1.2049 +    z2 = (INT32) wsptr[3];
  1.2050 +    z3 = (INT32) wsptr[5];
  1.2051 +    z4 = (INT32) wsptr[7];
  1.2052 +    z4 <<= CONST_BITS;
  1.2053 +
  1.2054 +    tmp14 = z1 + z3;
  1.2055 +    tmp11 = MULTIPLY(z1 + z2, FIX(1.334852607));           /* c3 */
  1.2056 +    tmp12 = MULTIPLY(tmp14, FIX(1.197448846));             /* c5 */
  1.2057 +    tmp10 = tmp11 + tmp12 + z4 - MULTIPLY(z1, FIX(1.126980169)); /* c3+c5-c1 */
  1.2058 +    tmp14 = MULTIPLY(tmp14, FIX(0.752406978));             /* c9 */
  1.2059 +    tmp16 = tmp14 - MULTIPLY(z1, FIX(1.061150426));        /* c9+c11-c13 */
  1.2060 +    z1    -= z2;
  1.2061 +    tmp15 = MULTIPLY(z1, FIX(0.467085129)) - z4;           /* c11 */
  1.2062 +    tmp16 += tmp15;
  1.2063 +    tmp13 = MULTIPLY(z2 + z3, - FIX(0.158341681)) - z4;    /* -c13 */
  1.2064 +    tmp11 += tmp13 - MULTIPLY(z2, FIX(0.424103948));       /* c3-c9-c13 */
  1.2065 +    tmp12 += tmp13 - MULTIPLY(z3, FIX(2.373959773));       /* c3+c5-c13 */
  1.2066 +    tmp13 = MULTIPLY(z3 - z2, FIX(1.405321284));           /* c1 */
  1.2067 +    tmp14 += tmp13 + z4 - MULTIPLY(z3, FIX(1.6906431334)); /* c1+c9-c11 */
  1.2068 +    tmp15 += tmp13 + MULTIPLY(z2, FIX(0.674957567));       /* c1+c11-c5 */
  1.2069 +
  1.2070 +    tmp13 = ((z1 - z3) << CONST_BITS) + z4;
  1.2071 +
  1.2072 +    /* Final output stage */
  1.2073 +
  1.2074 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.2075 +					       CONST_BITS+PASS1_BITS+3)
  1.2076 +			     & RANGE_MASK];
  1.2077 +    outptr[13] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.2078 +					       CONST_BITS+PASS1_BITS+3)
  1.2079 +			     & RANGE_MASK];
  1.2080 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.2081 +					       CONST_BITS+PASS1_BITS+3)
  1.2082 +			     & RANGE_MASK];
  1.2083 +    outptr[12] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.2084 +					       CONST_BITS+PASS1_BITS+3)
  1.2085 +			     & RANGE_MASK];
  1.2086 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.2087 +					       CONST_BITS+PASS1_BITS+3)
  1.2088 +			     & RANGE_MASK];
  1.2089 +    outptr[11] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.2090 +					       CONST_BITS+PASS1_BITS+3)
  1.2091 +			     & RANGE_MASK];
  1.2092 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.2093 +					       CONST_BITS+PASS1_BITS+3)
  1.2094 +			     & RANGE_MASK];
  1.2095 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.2096 +					       CONST_BITS+PASS1_BITS+3)
  1.2097 +			     & RANGE_MASK];
  1.2098 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.2099 +					       CONST_BITS+PASS1_BITS+3)
  1.2100 +			     & RANGE_MASK];
  1.2101 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.2102 +					       CONST_BITS+PASS1_BITS+3)
  1.2103 +			     & RANGE_MASK];
  1.2104 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25 + tmp15,
  1.2105 +					       CONST_BITS+PASS1_BITS+3)
  1.2106 +			     & RANGE_MASK];
  1.2107 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp25 - tmp15,
  1.2108 +					       CONST_BITS+PASS1_BITS+3)
  1.2109 +			     & RANGE_MASK];
  1.2110 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp26 + tmp16,
  1.2111 +					       CONST_BITS+PASS1_BITS+3)
  1.2112 +			     & RANGE_MASK];
  1.2113 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp26 - tmp16,
  1.2114 +					       CONST_BITS+PASS1_BITS+3)
  1.2115 +			     & RANGE_MASK];
  1.2116 +
  1.2117 +    wsptr += 8;		/* advance pointer to next row */
  1.2118 +  }
  1.2119 +}
  1.2120 +
  1.2121 +
  1.2122 +/*
  1.2123 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.2124 + * producing a 15x15 output block.
  1.2125 + *
  1.2126 + * Optimized algorithm with 22 multiplications in the 1-D kernel.
  1.2127 + * cK represents sqrt(2) * cos(K*pi/30).
  1.2128 + */
  1.2129 +
  1.2130 +GLOBAL(void)
  1.2131 +jpeg_idct_15x15 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.2132 +		 JCOEFPTR coef_block,
  1.2133 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.2134 +{
  1.2135 +  INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16;
  1.2136 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25, tmp26, tmp27;
  1.2137 +  INT32 z1, z2, z3, z4;
  1.2138 +  JCOEFPTR inptr;
  1.2139 +  ISLOW_MULT_TYPE * quantptr;
  1.2140 +  int * wsptr;
  1.2141 +  JSAMPROW outptr;
  1.2142 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.2143 +  int ctr;
  1.2144 +  int workspace[8*15];	/* buffers data between passes */
  1.2145 +  SHIFT_TEMPS
  1.2146 +
  1.2147 +  /* Pass 1: process columns from input, store into work array. */
  1.2148 +
  1.2149 +  inptr = coef_block;
  1.2150 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.2151 +  wsptr = workspace;
  1.2152 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.2153 +    /* Even part */
  1.2154 +
  1.2155 +    z1 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.2156 +    z1 <<= CONST_BITS;
  1.2157 +    /* Add fudge factor here for final descale. */
  1.2158 +    z1 += ONE << (CONST_BITS-PASS1_BITS-1);
  1.2159 +
  1.2160 +    z2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.2161 +    z3 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.2162 +    z4 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.2163 +
  1.2164 +    tmp10 = MULTIPLY(z4, FIX(0.437016024)); /* c12 */
  1.2165 +    tmp11 = MULTIPLY(z4, FIX(1.144122806)); /* c6 */
  1.2166 +
  1.2167 +    tmp12 = z1 - tmp10;
  1.2168 +    tmp13 = z1 + tmp11;
  1.2169 +    z1 -= (tmp11 - tmp10) << 1;             /* c0 = (c6-c12)*2 */
  1.2170 +
  1.2171 +    z4 = z2 - z3;
  1.2172 +    z3 += z2;
  1.2173 +    tmp10 = MULTIPLY(z3, FIX(1.337628990)); /* (c2+c4)/2 */
  1.2174 +    tmp11 = MULTIPLY(z4, FIX(0.045680613)); /* (c2-c4)/2 */
  1.2175 +    z2 = MULTIPLY(z2, FIX(1.439773946));    /* c4+c14 */
  1.2176 +
  1.2177 +    tmp20 = tmp13 + tmp10 + tmp11;
  1.2178 +    tmp23 = tmp12 - tmp10 + tmp11 + z2;
  1.2179 +
  1.2180 +    tmp10 = MULTIPLY(z3, FIX(0.547059574)); /* (c8+c14)/2 */
  1.2181 +    tmp11 = MULTIPLY(z4, FIX(0.399234004)); /* (c8-c14)/2 */
  1.2182 +
  1.2183 +    tmp25 = tmp13 - tmp10 - tmp11;
  1.2184 +    tmp26 = tmp12 + tmp10 - tmp11 - z2;
  1.2185 +
  1.2186 +    tmp10 = MULTIPLY(z3, FIX(0.790569415)); /* (c6+c12)/2 */
  1.2187 +    tmp11 = MULTIPLY(z4, FIX(0.353553391)); /* (c6-c12)/2 */
  1.2188 +
  1.2189 +    tmp21 = tmp12 + tmp10 + tmp11;
  1.2190 +    tmp24 = tmp13 - tmp10 + tmp11;
  1.2191 +    tmp11 += tmp11;
  1.2192 +    tmp22 = z1 + tmp11;                     /* c10 = c6-c12 */
  1.2193 +    tmp27 = z1 - tmp11 - tmp11;             /* c0 = (c6-c12)*2 */
  1.2194 +
  1.2195 +    /* Odd part */
  1.2196 +
  1.2197 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.2198 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.2199 +    z4 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.2200 +    z3 = MULTIPLY(z4, FIX(1.224744871));                    /* c5 */
  1.2201 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.2202 +
  1.2203 +    tmp13 = z2 - z4;
  1.2204 +    tmp15 = MULTIPLY(z1 + tmp13, FIX(0.831253876));         /* c9 */
  1.2205 +    tmp11 = tmp15 + MULTIPLY(z1, FIX(0.513743148));         /* c3-c9 */
  1.2206 +    tmp14 = tmp15 - MULTIPLY(tmp13, FIX(2.176250899));      /* c3+c9 */
  1.2207 +
  1.2208 +    tmp13 = MULTIPLY(z2, - FIX(0.831253876));               /* -c9 */
  1.2209 +    tmp15 = MULTIPLY(z2, - FIX(1.344997024));               /* -c3 */
  1.2210 +    z2 = z1 - z4;
  1.2211 +    tmp12 = z3 + MULTIPLY(z2, FIX(1.406466353));            /* c1 */
  1.2212 +
  1.2213 +    tmp10 = tmp12 + MULTIPLY(z4, FIX(2.457431844)) - tmp15; /* c1+c7 */
  1.2214 +    tmp16 = tmp12 - MULTIPLY(z1, FIX(1.112434820)) + tmp13; /* c1-c13 */
  1.2215 +    tmp12 = MULTIPLY(z2, FIX(1.224744871)) - z3;            /* c5 */
  1.2216 +    z2 = MULTIPLY(z1 + z4, FIX(0.575212477));               /* c11 */
  1.2217 +    tmp13 += z2 + MULTIPLY(z1, FIX(0.475753014)) - z3;      /* c7-c11 */
  1.2218 +    tmp15 += z2 - MULTIPLY(z4, FIX(0.869244010)) + z3;      /* c11+c13 */
  1.2219 +
  1.2220 +    /* Final output stage */
  1.2221 +
  1.2222 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
  1.2223 +    wsptr[8*14] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
  1.2224 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
  1.2225 +    wsptr[8*13] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
  1.2226 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
  1.2227 +    wsptr[8*12] = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
  1.2228 +    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
  1.2229 +    wsptr[8*11] = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
  1.2230 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
  1.2231 +    wsptr[8*10] = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
  1.2232 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp15, CONST_BITS-PASS1_BITS);
  1.2233 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp25 - tmp15, CONST_BITS-PASS1_BITS);
  1.2234 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp26 + tmp16, CONST_BITS-PASS1_BITS);
  1.2235 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp26 - tmp16, CONST_BITS-PASS1_BITS);
  1.2236 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp27, CONST_BITS-PASS1_BITS);
  1.2237 +  }
  1.2238 +
  1.2239 +  /* Pass 2: process 15 rows from work array, store into output array. */
  1.2240 +
  1.2241 +  wsptr = workspace;
  1.2242 +  for (ctr = 0; ctr < 15; ctr++) {
  1.2243 +    outptr = output_buf[ctr] + output_col;
  1.2244 +
  1.2245 +    /* Even part */
  1.2246 +
  1.2247 +    /* Add fudge factor here for final descale. */
  1.2248 +    z1 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.2249 +    z1 <<= CONST_BITS;
  1.2250 +
  1.2251 +    z2 = (INT32) wsptr[2];
  1.2252 +    z3 = (INT32) wsptr[4];
  1.2253 +    z4 = (INT32) wsptr[6];
  1.2254 +
  1.2255 +    tmp10 = MULTIPLY(z4, FIX(0.437016024)); /* c12 */
  1.2256 +    tmp11 = MULTIPLY(z4, FIX(1.144122806)); /* c6 */
  1.2257 +
  1.2258 +    tmp12 = z1 - tmp10;
  1.2259 +    tmp13 = z1 + tmp11;
  1.2260 +    z1 -= (tmp11 - tmp10) << 1;             /* c0 = (c6-c12)*2 */
  1.2261 +
  1.2262 +    z4 = z2 - z3;
  1.2263 +    z3 += z2;
  1.2264 +    tmp10 = MULTIPLY(z3, FIX(1.337628990)); /* (c2+c4)/2 */
  1.2265 +    tmp11 = MULTIPLY(z4, FIX(0.045680613)); /* (c2-c4)/2 */
  1.2266 +    z2 = MULTIPLY(z2, FIX(1.439773946));    /* c4+c14 */
  1.2267 +
  1.2268 +    tmp20 = tmp13 + tmp10 + tmp11;
  1.2269 +    tmp23 = tmp12 - tmp10 + tmp11 + z2;
  1.2270 +
  1.2271 +    tmp10 = MULTIPLY(z3, FIX(0.547059574)); /* (c8+c14)/2 */
  1.2272 +    tmp11 = MULTIPLY(z4, FIX(0.399234004)); /* (c8-c14)/2 */
  1.2273 +
  1.2274 +    tmp25 = tmp13 - tmp10 - tmp11;
  1.2275 +    tmp26 = tmp12 + tmp10 - tmp11 - z2;
  1.2276 +
  1.2277 +    tmp10 = MULTIPLY(z3, FIX(0.790569415)); /* (c6+c12)/2 */
  1.2278 +    tmp11 = MULTIPLY(z4, FIX(0.353553391)); /* (c6-c12)/2 */
  1.2279 +
  1.2280 +    tmp21 = tmp12 + tmp10 + tmp11;
  1.2281 +    tmp24 = tmp13 - tmp10 + tmp11;
  1.2282 +    tmp11 += tmp11;
  1.2283 +    tmp22 = z1 + tmp11;                     /* c10 = c6-c12 */
  1.2284 +    tmp27 = z1 - tmp11 - tmp11;             /* c0 = (c6-c12)*2 */
  1.2285 +
  1.2286 +    /* Odd part */
  1.2287 +
  1.2288 +    z1 = (INT32) wsptr[1];
  1.2289 +    z2 = (INT32) wsptr[3];
  1.2290 +    z4 = (INT32) wsptr[5];
  1.2291 +    z3 = MULTIPLY(z4, FIX(1.224744871));                    /* c5 */
  1.2292 +    z4 = (INT32) wsptr[7];
  1.2293 +
  1.2294 +    tmp13 = z2 - z4;
  1.2295 +    tmp15 = MULTIPLY(z1 + tmp13, FIX(0.831253876));         /* c9 */
  1.2296 +    tmp11 = tmp15 + MULTIPLY(z1, FIX(0.513743148));         /* c3-c9 */
  1.2297 +    tmp14 = tmp15 - MULTIPLY(tmp13, FIX(2.176250899));      /* c3+c9 */
  1.2298 +
  1.2299 +    tmp13 = MULTIPLY(z2, - FIX(0.831253876));               /* -c9 */
  1.2300 +    tmp15 = MULTIPLY(z2, - FIX(1.344997024));               /* -c3 */
  1.2301 +    z2 = z1 - z4;
  1.2302 +    tmp12 = z3 + MULTIPLY(z2, FIX(1.406466353));            /* c1 */
  1.2303 +
  1.2304 +    tmp10 = tmp12 + MULTIPLY(z4, FIX(2.457431844)) - tmp15; /* c1+c7 */
  1.2305 +    tmp16 = tmp12 - MULTIPLY(z1, FIX(1.112434820)) + tmp13; /* c1-c13 */
  1.2306 +    tmp12 = MULTIPLY(z2, FIX(1.224744871)) - z3;            /* c5 */
  1.2307 +    z2 = MULTIPLY(z1 + z4, FIX(0.575212477));               /* c11 */
  1.2308 +    tmp13 += z2 + MULTIPLY(z1, FIX(0.475753014)) - z3;      /* c7-c11 */
  1.2309 +    tmp15 += z2 - MULTIPLY(z4, FIX(0.869244010)) + z3;      /* c11+c13 */
  1.2310 +
  1.2311 +    /* Final output stage */
  1.2312 +
  1.2313 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
  1.2314 +					       CONST_BITS+PASS1_BITS+3)
  1.2315 +			     & RANGE_MASK];
  1.2316 +    outptr[14] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
  1.2317 +					       CONST_BITS+PASS1_BITS+3)
  1.2318 +			     & RANGE_MASK];
  1.2319 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
  1.2320 +					       CONST_BITS+PASS1_BITS+3)
  1.2321 +			     & RANGE_MASK];
  1.2322 +    outptr[13] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
  1.2323 +					       CONST_BITS+PASS1_BITS+3)
  1.2324 +			     & RANGE_MASK];
  1.2325 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
  1.2326 +					       CONST_BITS+PASS1_BITS+3)
  1.2327 +			     & RANGE_MASK];
  1.2328 +    outptr[12] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
  1.2329 +					       CONST_BITS+PASS1_BITS+3)
  1.2330 +			     & RANGE_MASK];
  1.2331 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
  1.2332 +					       CONST_BITS+PASS1_BITS+3)
  1.2333 +			     & RANGE_MASK];
  1.2334 +    outptr[11] = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
  1.2335 +					       CONST_BITS+PASS1_BITS+3)
  1.2336 +			     & RANGE_MASK];
  1.2337 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
  1.2338 +					       CONST_BITS+PASS1_BITS+3)
  1.2339 +			     & RANGE_MASK];
  1.2340 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
  1.2341 +					       CONST_BITS+PASS1_BITS+3)
  1.2342 +			     & RANGE_MASK];
  1.2343 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25 + tmp15,
  1.2344 +					       CONST_BITS+PASS1_BITS+3)
  1.2345 +			     & RANGE_MASK];
  1.2346 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp25 - tmp15,
  1.2347 +					       CONST_BITS+PASS1_BITS+3)
  1.2348 +			     & RANGE_MASK];
  1.2349 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp26 + tmp16,
  1.2350 +					       CONST_BITS+PASS1_BITS+3)
  1.2351 +			     & RANGE_MASK];
  1.2352 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp26 - tmp16,
  1.2353 +					       CONST_BITS+PASS1_BITS+3)
  1.2354 +			     & RANGE_MASK];
  1.2355 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp27,
  1.2356 +					       CONST_BITS+PASS1_BITS+3)
  1.2357 +			     & RANGE_MASK];
  1.2358 +
  1.2359 +    wsptr += 8;		/* advance pointer to next row */
  1.2360 +  }
  1.2361 +}
  1.2362 +
  1.2363 +
  1.2364 +/*
  1.2365 + * Perform dequantization and inverse DCT on one block of coefficients,
  1.2366 + * producing a 16x16 output block.
  1.2367 + *
  1.2368 + * Optimized algorithm with 28 multiplications in the 1-D kernel.
  1.2369 + * cK represents sqrt(2) * cos(K*pi/32).
  1.2370 + */
  1.2371 +
  1.2372 +GLOBAL(void)
  1.2373 +jpeg_idct_16x16 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  1.2374 +		 JCOEFPTR coef_block,
  1.2375 +		 JSAMPARRAY output_buf, JDIMENSION output_col)
  1.2376 +{
  1.2377 +  INT32 tmp0, tmp1, tmp2, tmp3, tmp10, tmp11, tmp12, tmp13;
  1.2378 +  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25, tmp26, tmp27;
  1.2379 +  INT32 z1, z2, z3, z4;
  1.2380 +  JCOEFPTR inptr;
  1.2381 +  ISLOW_MULT_TYPE * quantptr;
  1.2382 +  int * wsptr;
  1.2383 +  JSAMPROW outptr;
  1.2384 +  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  1.2385 +  int ctr;
  1.2386 +  int workspace[8*16];	/* buffers data between passes */
  1.2387 +  SHIFT_TEMPS
  1.2388 +
  1.2389 +  /* Pass 1: process columns from input, store into work array. */
  1.2390 +
  1.2391 +  inptr = coef_block;
  1.2392 +  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  1.2393 +  wsptr = workspace;
  1.2394 +  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
  1.2395 +    /* Even part */
  1.2396 +
  1.2397 +    tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  1.2398 +    tmp0 <<= CONST_BITS;
  1.2399 +    /* Add fudge factor here for final descale. */
  1.2400 +    tmp0 += 1 << (CONST_BITS-PASS1_BITS-1);
  1.2401 +
  1.2402 +    z1 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  1.2403 +    tmp1 = MULTIPLY(z1, FIX(1.306562965));      /* c4[16] = c2[8] */
  1.2404 +    tmp2 = MULTIPLY(z1, FIX_0_541196100);       /* c12[16] = c6[8] */
  1.2405 +
  1.2406 +    tmp10 = tmp0 + tmp1;
  1.2407 +    tmp11 = tmp0 - tmp1;
  1.2408 +    tmp12 = tmp0 + tmp2;
  1.2409 +    tmp13 = tmp0 - tmp2;
  1.2410 +
  1.2411 +    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  1.2412 +    z2 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  1.2413 +    z3 = z1 - z2;
  1.2414 +    z4 = MULTIPLY(z3, FIX(0.275899379));        /* c14[16] = c7[8] */
  1.2415 +    z3 = MULTIPLY(z3, FIX(1.387039845));        /* c2[16] = c1[8] */
  1.2416 +
  1.2417 +    tmp0 = z3 + MULTIPLY(z2, FIX_2_562915447);  /* (c6+c2)[16] = (c3+c1)[8] */
  1.2418 +    tmp1 = z4 + MULTIPLY(z1, FIX_0_899976223);  /* (c6-c14)[16] = (c3-c7)[8] */
  1.2419 +    tmp2 = z3 - MULTIPLY(z1, FIX(0.601344887)); /* (c2-c10)[16] = (c1-c5)[8] */
  1.2420 +    tmp3 = z4 - MULTIPLY(z2, FIX(0.509795579)); /* (c10-c14)[16] = (c5-c7)[8] */
  1.2421 +
  1.2422 +    tmp20 = tmp10 + tmp0;
  1.2423 +    tmp27 = tmp10 - tmp0;
  1.2424 +    tmp21 = tmp12 + tmp1;
  1.2425 +    tmp26 = tmp12 - tmp1;
  1.2426 +    tmp22 = tmp13 + tmp2;
  1.2427 +    tmp25 = tmp13 - tmp2;
  1.2428 +    tmp23 = tmp11 + tmp3;
  1.2429 +    tmp24 = tmp11 - tmp3;
  1.2430 +
  1.2431 +    /* Odd part */
  1.2432 +
  1.2433 +    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  1.2434 +    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  1.2435 +    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  1.2436 +    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  1.2437 +
  1.2438 +    tmp11 = z1 + z3;
  1.2439 +
  1.2440 +    tmp1  = MULTIPLY(z1 + z2, FIX(1.353318001));   /* c3 */
  1.2441 +    tmp2  = MULTIPLY(tmp11,   FIX(1.247225013));   /* c5 */
  1.2442 +    tmp3  = MULTIPLY(z1 + z4, FIX(1.093201867));   /* c7 */
  1.2443 +    tmp10 = MULTIPLY(z1 - z4, FIX(0.897167586));   /* c9 */
  1.2444 +    tmp11 = MULTIPLY(tmp11,   FIX(0.666655658));   /* c11 */
  1.2445 +    tmp12 = MULTIPLY(z1 - z2, FIX(0.410524528));   /* c13 */
  1.2446 +    tmp0  = tmp1 + tmp2 + tmp3 -
  1.2447 +	    MULTIPLY(z1, FIX(2.286341144));        /* c7+c5+c3-c1 */
  1.2448 +    tmp13 = tmp10 + tmp11 + tmp12 -
  1.2449 +	    MULTIPLY(z1, FIX(1.835730603));        /* c9+c11+c13-c15 */
  1.2450 +    z1    = MULTIPLY(z2 + z3, FIX(0.138617169));   /* c15 */
  1.2451 +    tmp1  += z1 + MULTIPLY(z2, FIX(0.071888074));  /* c9+c11-c3-c15 */
  1.2452 +    tmp2  += z1 - MULTIPLY(z3, FIX(1.125726048));  /* c5+c7+c15-c3 */
  1.2453 +    z1    = MULTIPLY(z3 - z2, FIX(1.407403738));   /* c1 */
  1.2454 +    tmp11 += z1 - MULTIPLY(z3, FIX(0.766367282));  /* c1+c11-c9-c13 */
  1.2455 +    tmp12 += z1 + MULTIPLY(z2, FIX(1.971951411));  /* c1+c5+c13-c7 */
  1.2456 +    z2    += z4;
  1.2457 +    z1    = MULTIPLY(z2, - FIX(0.666655658));      /* -c11 */
  1.2458 +    tmp1  += z1;
  1.2459 +    tmp3  += z1 + MULTIPLY(z4, FIX(1.065388962));  /* c3+c11+c15-c7 */
  1.2460 +    z2    = MULTIPLY(z2, - FIX(1.247225013));      /* -c5 */
  1.2461 +    tmp10 += z2 + MULTIPLY(z4, FIX(3.141271809));  /* c1+c5+c9-c13 */
  1.2462 +    tmp12 += z2;
  1.2463 +    z2    = MULTIPLY(z3 + z4, - FIX(1.353318001)); /* -c3 */
  1.2464 +    tmp2  += z2;
  1.2465 +    tmp3  += z2;
  1.2466 +    z2    = MULTIPLY(z4 - z3, FIX(0.410524528));   /* c13 */
  1.2467 +    tmp10 += z2;
  1.2468 +    tmp11 += z2;
  1.2469 +
  1.2470 +    /* Final output stage */
  1.2471 +
  1.2472 +    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp0,  CONST_BITS-PASS1_BITS);
  1.2473 +    wsptr[8*15] = (int) RIGHT_SHIFT(tmp20 - tmp0,  CONST_BITS-PASS1_BITS);
  1.2474 +    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp1,  CONST_BITS-PASS1_BITS);
  1.2475 +    wsptr[8*14] = (int) RIGHT_SHIFT(tmp21 - tmp1,  CONST_BITS-PASS1_BITS);
  1.2476 +    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp2,  CONST_BITS-PASS1_BITS);
  1.2477 +    wsptr[8*13] = (int) RIGHT_SHIFT(tmp22 - tmp2,  CONST_BITS-PASS1_BITS);
  1.2478 +    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp3,  CONST_BITS-PASS1_BITS);
  1.2479 +    wsptr[8*12] = (int) RIGHT_SHIFT(tmp23 - tmp3,  CONST_BITS-PASS1_BITS);
  1.2480 +    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp10, CONST_BITS-PASS1_BITS);
  1.2481 +    wsptr[8*11] = (int) RIGHT_SHIFT(tmp24 - tmp10, CONST_BITS-PASS1_BITS);
  1.2482 +    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp11, CONST_BITS-PASS1_BITS);
  1.2483 +    wsptr[8*10] = (int) RIGHT_SHIFT(tmp25 - tmp11, CONST_BITS-PASS1_BITS);
  1.2484 +    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp26 + tmp12, CONST_BITS-PASS1_BITS);
  1.2485 +    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp26 - tmp12, CONST_BITS-PASS1_BITS);
  1.2486 +    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp27 + tmp13, CONST_BITS-PASS1_BITS);
  1.2487 +    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp27 - tmp13, CONST_BITS-PASS1_BITS);
  1.2488 +  }
  1.2489 +
  1.2490 +  /* Pass 2: process 16 rows from work array, store into output array. */
  1.2491 +
  1.2492 +  wsptr = workspace;
  1.2493 +  for (ctr = 0; ctr < 16; ctr++) {
  1.2494 +    outptr = output_buf[ctr] + output_col;
  1.2495 +
  1.2496 +    /* Even part */
  1.2497 +
  1.2498 +    /* Add fudge factor here for final descale. */
  1.2499 +    tmp0 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
  1.2500 +    tmp0 <<= CONST_BITS;
  1.2501 +
  1.2502 +    z1 = (INT32) wsptr[4];
  1.2503 +    tmp1 = MULTIPLY(z1, FIX(1.306562965));      /* c4[16] = c2[8] */
  1.2504 +    tmp2 = MULTIPLY(z1, FIX_0_541196100);       /* c12[16] = c6[8] */
  1.2505 +
  1.2506 +    tmp10 = tmp0 + tmp1;
  1.2507 +    tmp11 = tmp0 - tmp1;
  1.2508 +    tmp12 = tmp0 + tmp2;
  1.2509 +    tmp13 = tmp0 - tmp2;
  1.2510 +
  1.2511 +    z1 = (INT32) wsptr[2];
  1.2512 +    z2 = (INT32) wsptr[6];
  1.2513 +    z3 = z1 - z2;
  1.2514 +    z4 = MULTIPLY(z3, FIX(0.275899379));        /* c14[16] = c7[8] */
  1.2515 +    z3 = MULTIPLY(z3, FIX(1.387039845));        /* c2[16] = c1[8] */
  1.2516 +
  1.2517 +    tmp0 = z3 + MULTIPLY(z2, FIX_2_562915447);  /* (c6+c2)[16] = (c3+c1)[8] */
  1.2518 +    tmp1 = z4 + MULTIPLY(z1, FIX_0_899976223);  /* (c6-c14)[16] = (c3-c7)[8] */
  1.2519 +    tmp2 = z3 - MULTIPLY(z1, FIX(0.601344887)); /* (c2-c10)[16] = (c1-c5)[8] */
  1.2520 +    tmp3 = z4 - MULTIPLY(z2, FIX(0.509795579)); /* (c10-c14)[16] = (c5-c7)[8] */
  1.2521 +
  1.2522 +    tmp20 = tmp10 + tmp0;
  1.2523 +    tmp27 = tmp10 - tmp0;
  1.2524 +    tmp21 = tmp12 + tmp1;
  1.2525 +    tmp26 = tmp12 - tmp1;
  1.2526 +    tmp22 = tmp13 + tmp2;
  1.2527 +    tmp25 = tmp13 - tmp2;
  1.2528 +    tmp23 = tmp11 + tmp3;
  1.2529 +    tmp24 = tmp11 - tmp3;
  1.2530 +
  1.2531 +    /* Odd part */
  1.2532 +
  1.2533 +    z1 = (INT32) wsptr[1];
  1.2534 +    z2 = (INT32) wsptr[3];
  1.2535 +    z3 = (INT32) wsptr[5];
  1.2536 +    z4 = (INT32) wsptr[7];
  1.2537 +
  1.2538 +    tmp11 = z1 + z3;
  1.2539 +
  1.2540 +    tmp1  = MULTIPLY(z1 + z2, FIX(1.353318001));   /* c3 */
  1.2541 +    tmp2  = MULTIPLY(tmp11,   FIX(1.247225013));   /* c5 */
  1.2542 +    tmp3  = MULTIPLY(z1 + z4, FIX(1.093201867));   /* c7 */
  1.2543 +    tmp10 = MULTIPLY(z1 - z4, FIX(0.897167586));   /* c9 */
  1.2544 +    tmp11 = MULTIPLY(tmp11,   FIX(0.666655658));   /* c11 */
  1.2545 +    tmp12 = MULTIPLY(z1 - z2, FIX(0.410524528));   /* c13 */
  1.2546 +    tmp0  = tmp1 + tmp2 + tmp3 -
  1.2547 +	    MULTIPLY(z1, FIX(2.286341144));        /* c7+c5+c3-c1 */
  1.2548 +    tmp13 = tmp10 + tmp11 + tmp12 -
  1.2549 +	    MULTIPLY(z1, FIX(1.835730603));        /* c9+c11+c13-c15 */
  1.2550 +    z1    = MULTIPLY(z2 + z3, FIX(0.138617169));   /* c15 */
  1.2551 +    tmp1  += z1 + MULTIPLY(z2, FIX(0.071888074));  /* c9+c11-c3-c15 */
  1.2552 +    tmp2  += z1 - MULTIPLY(z3, FIX(1.125726048));  /* c5+c7+c15-c3 */
  1.2553 +    z1    = MULTIPLY(z3 - z2, FIX(1.407403738));   /* c1 */
  1.2554 +    tmp11 += z1 - MULTIPLY(z3, FIX(0.766367282));  /* c1+c11-c9-c13 */
  1.2555 +    tmp12 += z1 + MULTIPLY(z2, FIX(1.971951411));  /* c1+c5+c13-c7 */
  1.2556 +    z2    += z4;
  1.2557 +    z1    = MULTIPLY(z2, - FIX(0.666655658));      /* -c11 */
  1.2558 +    tmp1  += z1;
  1.2559 +    tmp3  += z1 + MULTIPLY(z4, FIX(1.065388962));  /* c3+c11+c15-c7 */
  1.2560 +    z2    = MULTIPLY(z2, - FIX(1.247225013));      /* -c5 */
  1.2561 +    tmp10 += z2 + MULTIPLY(z4, FIX(3.141271809));  /* c1+c5+c9-c13 */
  1.2562 +    tmp12 += z2;
  1.2563 +    z2    = MULTIPLY(z3 + z4, - FIX(1.353318001)); /* -c3 */
  1.2564 +    tmp2  += z2;
  1.2565 +    tmp3  += z2;
  1.2566 +    z2    = MULTIPLY(z4 - z3, FIX(0.410524528));   /* c13 */
  1.2567 +    tmp10 += z2;
  1.2568 +    tmp11 += z2;
  1.2569 +
  1.2570 +    /* Final output stage */
  1.2571 +
  1.2572 +    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp0,
  1.2573 +					       CONST_BITS+PASS1_BITS+3)
  1.2574 +			     & RANGE_MASK];
  1.2575 +    outptr[15] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp0,
  1.2576 +					       CONST_BITS+PASS1_BITS+3)
  1.2577 +			     & RANGE_MASK];
  1.2578 +    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp1,
  1.2579 +					       CONST_BITS+PASS1_BITS+3)
  1.2580 +			     & RANGE_MASK];
  1.2581 +    outptr[14] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp1,
  1.2582 +					       CONST_BITS+PASS1_BITS+3)
  1.2583 +			     & RANGE_MASK];
  1.2584 +    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp2,
  1.2585 +					       CONST_BITS+PASS1_BITS+3)
  1.2586 +			     & RANGE_MASK];
  1.2587 +    outptr[13] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp2,
  1.2588 +					       CONST_BITS+PASS1_BITS+3)
  1.2589 +			     & RANGE_MASK];
  1.2590 +    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp3,
  1.2591 +					       CONST_BITS+PASS1_BITS+3)
  1.2592 +			     & RANGE_MASK];
  1.2593 +    outptr[12] = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp3,
  1.2594 +					       CONST_BITS+PASS1_BITS+3)
  1.2595 +			     & RANGE_MASK];
  1.2596 +    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp10,
  1.2597 +					       CONST_BITS+PASS1_BITS+3)
  1.2598 +			     & RANGE_MASK];
  1.2599 +    outptr[11] = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp10,
  1.2600 +					       CONST_BITS+PASS1_BITS+3)
  1.2601 +			     & RANGE_MASK];
  1.2602 +    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25 + tmp11,
  1.2603 +					       CONST_BITS+PASS1_BITS+3)
  1.2604 +			     & RANGE_MASK];
  1.2605 +    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp25 - tmp11,
  1.2606 +					       CONST_BITS+PASS1_BITS+3)
  1.2607 +			     & RANGE_MASK];
  1.2608 +    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp26 + tmp12,
  1.2609 +					       CONST_BITS+PASS1_BITS+3)
  1.2610 +			     & RANGE_MASK];
  1.2611 +    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp26 - tmp12,
  1.2612 +					       CONST_BITS+PASS1_BITS+3)
  1.2613 +			     & RANGE_MASK];
  1.2614 +    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp27 + tmp13,
  1.2615 +					       CONST_BITS+PASS1_BITS+3)
  1.2616 +			     & RANGE_MASK];
  1.2617 +    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp27 - tmp13,
  1.2618 +					       CONST_BITS+PASS1_BITS+3)
  1.2619 +			     & RANGE_MASK];
  1.2620 +
  1.2621 +    wsptr += 8;		/* advance pointer to next row */
  1.2622 +  }
  1.2623 +}
  1.2624 +
  1.2625 +#endif /* IDCT_SCALING_SUPPORTED */
  1.2626 +#endif /* DCT_ISLOW_SUPPORTED */

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