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annotate libs/libjpeg/jidctfst.c @ 9:64e15874f3bd

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author John Tsiombikas <nuclear@member.fsf.org>
date Sat, 26 Sep 2015 02:56:07 +0300
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nuclear@2 1 /*
nuclear@2 2 * jidctfst.c
nuclear@2 3 *
nuclear@2 4 * Copyright (C) 1994-1998, Thomas G. Lane.
nuclear@2 5 * This file is part of the Independent JPEG Group's software.
nuclear@2 6 * For conditions of distribution and use, see the accompanying README file.
nuclear@2 7 *
nuclear@2 8 * This file contains a fast, not so accurate integer implementation of the
nuclear@2 9 * inverse DCT (Discrete Cosine Transform). In the IJG code, this routine
nuclear@2 10 * must also perform dequantization of the input coefficients.
nuclear@2 11 *
nuclear@2 12 * A 2-D IDCT can be done by 1-D IDCT on each column followed by 1-D IDCT
nuclear@2 13 * on each row (or vice versa, but it's more convenient to emit a row at
nuclear@2 14 * a time). Direct algorithms are also available, but they are much more
nuclear@2 15 * complex and seem not to be any faster when reduced to code.
nuclear@2 16 *
nuclear@2 17 * This implementation is based on Arai, Agui, and Nakajima's algorithm for
nuclear@2 18 * scaled DCT. Their original paper (Trans. IEICE E-71(11):1095) is in
nuclear@2 19 * Japanese, but the algorithm is described in the Pennebaker & Mitchell
nuclear@2 20 * JPEG textbook (see REFERENCES section in file README). The following code
nuclear@2 21 * is based directly on figure 4-8 in P&M.
nuclear@2 22 * While an 8-point DCT cannot be done in less than 11 multiplies, it is
nuclear@2 23 * possible to arrange the computation so that many of the multiplies are
nuclear@2 24 * simple scalings of the final outputs. These multiplies can then be
nuclear@2 25 * folded into the multiplications or divisions by the JPEG quantization
nuclear@2 26 * table entries. The AA&N method leaves only 5 multiplies and 29 adds
nuclear@2 27 * to be done in the DCT itself.
nuclear@2 28 * The primary disadvantage of this method is that with fixed-point math,
nuclear@2 29 * accuracy is lost due to imprecise representation of the scaled
nuclear@2 30 * quantization values. The smaller the quantization table entry, the less
nuclear@2 31 * precise the scaled value, so this implementation does worse with high-
nuclear@2 32 * quality-setting files than with low-quality ones.
nuclear@2 33 */
nuclear@2 34
nuclear@2 35 #define JPEG_INTERNALS
nuclear@2 36 #include "jinclude.h"
nuclear@2 37 #include "jpeglib.h"
nuclear@2 38 #include "jdct.h" /* Private declarations for DCT subsystem */
nuclear@2 39
nuclear@2 40 #ifdef DCT_IFAST_SUPPORTED
nuclear@2 41
nuclear@2 42
nuclear@2 43 /*
nuclear@2 44 * This module is specialized to the case DCTSIZE = 8.
nuclear@2 45 */
nuclear@2 46
nuclear@2 47 #if DCTSIZE != 8
nuclear@2 48 Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */
nuclear@2 49 #endif
nuclear@2 50
nuclear@2 51
nuclear@2 52 /* Scaling decisions are generally the same as in the LL&M algorithm;
nuclear@2 53 * see jidctint.c for more details. However, we choose to descale
nuclear@2 54 * (right shift) multiplication products as soon as they are formed,
nuclear@2 55 * rather than carrying additional fractional bits into subsequent additions.
nuclear@2 56 * This compromises accuracy slightly, but it lets us save a few shifts.
nuclear@2 57 * More importantly, 16-bit arithmetic is then adequate (for 8-bit samples)
nuclear@2 58 * everywhere except in the multiplications proper; this saves a good deal
nuclear@2 59 * of work on 16-bit-int machines.
nuclear@2 60 *
nuclear@2 61 * The dequantized coefficients are not integers because the AA&N scaling
nuclear@2 62 * factors have been incorporated. We represent them scaled up by PASS1_BITS,
nuclear@2 63 * so that the first and second IDCT rounds have the same input scaling.
nuclear@2 64 * For 8-bit JSAMPLEs, we choose IFAST_SCALE_BITS = PASS1_BITS so as to
nuclear@2 65 * avoid a descaling shift; this compromises accuracy rather drastically
nuclear@2 66 * for small quantization table entries, but it saves a lot of shifts.
nuclear@2 67 * For 12-bit JSAMPLEs, there's no hope of using 16x16 multiplies anyway,
nuclear@2 68 * so we use a much larger scaling factor to preserve accuracy.
nuclear@2 69 *
nuclear@2 70 * A final compromise is to represent the multiplicative constants to only
nuclear@2 71 * 8 fractional bits, rather than 13. This saves some shifting work on some
nuclear@2 72 * machines, and may also reduce the cost of multiplication (since there
nuclear@2 73 * are fewer one-bits in the constants).
nuclear@2 74 */
nuclear@2 75
nuclear@2 76 #if BITS_IN_JSAMPLE == 8
nuclear@2 77 #define CONST_BITS 8
nuclear@2 78 #define PASS1_BITS 2
nuclear@2 79 #else
nuclear@2 80 #define CONST_BITS 8
nuclear@2 81 #define PASS1_BITS 1 /* lose a little precision to avoid overflow */
nuclear@2 82 #endif
nuclear@2 83
nuclear@2 84 /* Some C compilers fail to reduce "FIX(constant)" at compile time, thus
nuclear@2 85 * causing a lot of useless floating-point operations at run time.
nuclear@2 86 * To get around this we use the following pre-calculated constants.
nuclear@2 87 * If you change CONST_BITS you may want to add appropriate values.
nuclear@2 88 * (With a reasonable C compiler, you can just rely on the FIX() macro...)
nuclear@2 89 */
nuclear@2 90
nuclear@2 91 #if CONST_BITS == 8
nuclear@2 92 #define FIX_1_082392200 ((INT32) 277) /* FIX(1.082392200) */
nuclear@2 93 #define FIX_1_414213562 ((INT32) 362) /* FIX(1.414213562) */
nuclear@2 94 #define FIX_1_847759065 ((INT32) 473) /* FIX(1.847759065) */
nuclear@2 95 #define FIX_2_613125930 ((INT32) 669) /* FIX(2.613125930) */
nuclear@2 96 #else
nuclear@2 97 #define FIX_1_082392200 FIX(1.082392200)
nuclear@2 98 #define FIX_1_414213562 FIX(1.414213562)
nuclear@2 99 #define FIX_1_847759065 FIX(1.847759065)
nuclear@2 100 #define FIX_2_613125930 FIX(2.613125930)
nuclear@2 101 #endif
nuclear@2 102
nuclear@2 103
nuclear@2 104 /* We can gain a little more speed, with a further compromise in accuracy,
nuclear@2 105 * by omitting the addition in a descaling shift. This yields an incorrectly
nuclear@2 106 * rounded result half the time...
nuclear@2 107 */
nuclear@2 108
nuclear@2 109 #ifndef USE_ACCURATE_ROUNDING
nuclear@2 110 #undef DESCALE
nuclear@2 111 #define DESCALE(x,n) RIGHT_SHIFT(x, n)
nuclear@2 112 #endif
nuclear@2 113
nuclear@2 114
nuclear@2 115 /* Multiply a DCTELEM variable by an INT32 constant, and immediately
nuclear@2 116 * descale to yield a DCTELEM result.
nuclear@2 117 */
nuclear@2 118
nuclear@2 119 #define MULTIPLY(var,const) ((DCTELEM) DESCALE((var) * (const), CONST_BITS))
nuclear@2 120
nuclear@2 121
nuclear@2 122 /* Dequantize a coefficient by multiplying it by the multiplier-table
nuclear@2 123 * entry; produce a DCTELEM result. For 8-bit data a 16x16->16
nuclear@2 124 * multiplication will do. For 12-bit data, the multiplier table is
nuclear@2 125 * declared INT32, so a 32-bit multiply will be used.
nuclear@2 126 */
nuclear@2 127
nuclear@2 128 #if BITS_IN_JSAMPLE == 8
nuclear@2 129 #define DEQUANTIZE(coef,quantval) (((IFAST_MULT_TYPE) (coef)) * (quantval))
nuclear@2 130 #else
nuclear@2 131 #define DEQUANTIZE(coef,quantval) \
nuclear@2 132 DESCALE((coef)*(quantval), IFAST_SCALE_BITS-PASS1_BITS)
nuclear@2 133 #endif
nuclear@2 134
nuclear@2 135
nuclear@2 136 /* Like DESCALE, but applies to a DCTELEM and produces an int.
nuclear@2 137 * We assume that int right shift is unsigned if INT32 right shift is.
nuclear@2 138 */
nuclear@2 139
nuclear@2 140 #ifdef RIGHT_SHIFT_IS_UNSIGNED
nuclear@2 141 #define ISHIFT_TEMPS DCTELEM ishift_temp;
nuclear@2 142 #if BITS_IN_JSAMPLE == 8
nuclear@2 143 #define DCTELEMBITS 16 /* DCTELEM may be 16 or 32 bits */
nuclear@2 144 #else
nuclear@2 145 #define DCTELEMBITS 32 /* DCTELEM must be 32 bits */
nuclear@2 146 #endif
nuclear@2 147 #define IRIGHT_SHIFT(x,shft) \
nuclear@2 148 ((ishift_temp = (x)) < 0 ? \
nuclear@2 149 (ishift_temp >> (shft)) | ((~((DCTELEM) 0)) << (DCTELEMBITS-(shft))) : \
nuclear@2 150 (ishift_temp >> (shft)))
nuclear@2 151 #else
nuclear@2 152 #define ISHIFT_TEMPS
nuclear@2 153 #define IRIGHT_SHIFT(x,shft) ((x) >> (shft))
nuclear@2 154 #endif
nuclear@2 155
nuclear@2 156 #ifdef USE_ACCURATE_ROUNDING
nuclear@2 157 #define IDESCALE(x,n) ((int) IRIGHT_SHIFT((x) + (1 << ((n)-1)), n))
nuclear@2 158 #else
nuclear@2 159 #define IDESCALE(x,n) ((int) IRIGHT_SHIFT(x, n))
nuclear@2 160 #endif
nuclear@2 161
nuclear@2 162
nuclear@2 163 /*
nuclear@2 164 * Perform dequantization and inverse DCT on one block of coefficients.
nuclear@2 165 */
nuclear@2 166
nuclear@2 167 GLOBAL(void)
nuclear@2 168 jpeg_idct_ifast (j_decompress_ptr cinfo, jpeg_component_info * compptr,
nuclear@2 169 JCOEFPTR coef_block,
nuclear@2 170 JSAMPARRAY output_buf, JDIMENSION output_col)
nuclear@2 171 {
nuclear@2 172 DCTELEM tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
nuclear@2 173 DCTELEM tmp10, tmp11, tmp12, tmp13;
nuclear@2 174 DCTELEM z5, z10, z11, z12, z13;
nuclear@2 175 JCOEFPTR inptr;
nuclear@2 176 IFAST_MULT_TYPE * quantptr;
nuclear@2 177 int * wsptr;
nuclear@2 178 JSAMPROW outptr;
nuclear@2 179 JSAMPLE *range_limit = IDCT_range_limit(cinfo);
nuclear@2 180 int ctr;
nuclear@2 181 int workspace[DCTSIZE2]; /* buffers data between passes */
nuclear@2 182 SHIFT_TEMPS /* for DESCALE */
nuclear@2 183 ISHIFT_TEMPS /* for IDESCALE */
nuclear@2 184
nuclear@2 185 /* Pass 1: process columns from input, store into work array. */
nuclear@2 186
nuclear@2 187 inptr = coef_block;
nuclear@2 188 quantptr = (IFAST_MULT_TYPE *) compptr->dct_table;
nuclear@2 189 wsptr = workspace;
nuclear@2 190 for (ctr = DCTSIZE; ctr > 0; ctr--) {
nuclear@2 191 /* Due to quantization, we will usually find that many of the input
nuclear@2 192 * coefficients are zero, especially the AC terms. We can exploit this
nuclear@2 193 * by short-circuiting the IDCT calculation for any column in which all
nuclear@2 194 * the AC terms are zero. In that case each output is equal to the
nuclear@2 195 * DC coefficient (with scale factor as needed).
nuclear@2 196 * With typical images and quantization tables, half or more of the
nuclear@2 197 * column DCT calculations can be simplified this way.
nuclear@2 198 */
nuclear@2 199
nuclear@2 200 if (inptr[DCTSIZE*1] == 0 && inptr[DCTSIZE*2] == 0 &&
nuclear@2 201 inptr[DCTSIZE*3] == 0 && inptr[DCTSIZE*4] == 0 &&
nuclear@2 202 inptr[DCTSIZE*5] == 0 && inptr[DCTSIZE*6] == 0 &&
nuclear@2 203 inptr[DCTSIZE*7] == 0) {
nuclear@2 204 /* AC terms all zero */
nuclear@2 205 int dcval = (int) DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
nuclear@2 206
nuclear@2 207 wsptr[DCTSIZE*0] = dcval;
nuclear@2 208 wsptr[DCTSIZE*1] = dcval;
nuclear@2 209 wsptr[DCTSIZE*2] = dcval;
nuclear@2 210 wsptr[DCTSIZE*3] = dcval;
nuclear@2 211 wsptr[DCTSIZE*4] = dcval;
nuclear@2 212 wsptr[DCTSIZE*5] = dcval;
nuclear@2 213 wsptr[DCTSIZE*6] = dcval;
nuclear@2 214 wsptr[DCTSIZE*7] = dcval;
nuclear@2 215
nuclear@2 216 inptr++; /* advance pointers to next column */
nuclear@2 217 quantptr++;
nuclear@2 218 wsptr++;
nuclear@2 219 continue;
nuclear@2 220 }
nuclear@2 221
nuclear@2 222 /* Even part */
nuclear@2 223
nuclear@2 224 tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
nuclear@2 225 tmp1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
nuclear@2 226 tmp2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
nuclear@2 227 tmp3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
nuclear@2 228
nuclear@2 229 tmp10 = tmp0 + tmp2; /* phase 3 */
nuclear@2 230 tmp11 = tmp0 - tmp2;
nuclear@2 231
nuclear@2 232 tmp13 = tmp1 + tmp3; /* phases 5-3 */
nuclear@2 233 tmp12 = MULTIPLY(tmp1 - tmp3, FIX_1_414213562) - tmp13; /* 2*c4 */
nuclear@2 234
nuclear@2 235 tmp0 = tmp10 + tmp13; /* phase 2 */
nuclear@2 236 tmp3 = tmp10 - tmp13;
nuclear@2 237 tmp1 = tmp11 + tmp12;
nuclear@2 238 tmp2 = tmp11 - tmp12;
nuclear@2 239
nuclear@2 240 /* Odd part */
nuclear@2 241
nuclear@2 242 tmp4 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
nuclear@2 243 tmp5 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
nuclear@2 244 tmp6 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
nuclear@2 245 tmp7 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
nuclear@2 246
nuclear@2 247 z13 = tmp6 + tmp5; /* phase 6 */
nuclear@2 248 z10 = tmp6 - tmp5;
nuclear@2 249 z11 = tmp4 + tmp7;
nuclear@2 250 z12 = tmp4 - tmp7;
nuclear@2 251
nuclear@2 252 tmp7 = z11 + z13; /* phase 5 */
nuclear@2 253 tmp11 = MULTIPLY(z11 - z13, FIX_1_414213562); /* 2*c4 */
nuclear@2 254
nuclear@2 255 z5 = MULTIPLY(z10 + z12, FIX_1_847759065); /* 2*c2 */
nuclear@2 256 tmp10 = MULTIPLY(z12, FIX_1_082392200) - z5; /* 2*(c2-c6) */
nuclear@2 257 tmp12 = MULTIPLY(z10, - FIX_2_613125930) + z5; /* -2*(c2+c6) */
nuclear@2 258
nuclear@2 259 tmp6 = tmp12 - tmp7; /* phase 2 */
nuclear@2 260 tmp5 = tmp11 - tmp6;
nuclear@2 261 tmp4 = tmp10 + tmp5;
nuclear@2 262
nuclear@2 263 wsptr[DCTSIZE*0] = (int) (tmp0 + tmp7);
nuclear@2 264 wsptr[DCTSIZE*7] = (int) (tmp0 - tmp7);
nuclear@2 265 wsptr[DCTSIZE*1] = (int) (tmp1 + tmp6);
nuclear@2 266 wsptr[DCTSIZE*6] = (int) (tmp1 - tmp6);
nuclear@2 267 wsptr[DCTSIZE*2] = (int) (tmp2 + tmp5);
nuclear@2 268 wsptr[DCTSIZE*5] = (int) (tmp2 - tmp5);
nuclear@2 269 wsptr[DCTSIZE*4] = (int) (tmp3 + tmp4);
nuclear@2 270 wsptr[DCTSIZE*3] = (int) (tmp3 - tmp4);
nuclear@2 271
nuclear@2 272 inptr++; /* advance pointers to next column */
nuclear@2 273 quantptr++;
nuclear@2 274 wsptr++;
nuclear@2 275 }
nuclear@2 276
nuclear@2 277 /* Pass 2: process rows from work array, store into output array. */
nuclear@2 278 /* Note that we must descale the results by a factor of 8 == 2**3, */
nuclear@2 279 /* and also undo the PASS1_BITS scaling. */
nuclear@2 280
nuclear@2 281 wsptr = workspace;
nuclear@2 282 for (ctr = 0; ctr < DCTSIZE; ctr++) {
nuclear@2 283 outptr = output_buf[ctr] + output_col;
nuclear@2 284 /* Rows of zeroes can be exploited in the same way as we did with columns.
nuclear@2 285 * However, the column calculation has created many nonzero AC terms, so
nuclear@2 286 * the simplification applies less often (typically 5% to 10% of the time).
nuclear@2 287 * On machines with very fast multiplication, it's possible that the
nuclear@2 288 * test takes more time than it's worth. In that case this section
nuclear@2 289 * may be commented out.
nuclear@2 290 */
nuclear@2 291
nuclear@2 292 #ifndef NO_ZERO_ROW_TEST
nuclear@2 293 if (wsptr[1] == 0 && wsptr[2] == 0 && wsptr[3] == 0 && wsptr[4] == 0 &&
nuclear@2 294 wsptr[5] == 0 && wsptr[6] == 0 && wsptr[7] == 0) {
nuclear@2 295 /* AC terms all zero */
nuclear@2 296 JSAMPLE dcval = range_limit[IDESCALE(wsptr[0], PASS1_BITS+3)
nuclear@2 297 & RANGE_MASK];
nuclear@2 298
nuclear@2 299 outptr[0] = dcval;
nuclear@2 300 outptr[1] = dcval;
nuclear@2 301 outptr[2] = dcval;
nuclear@2 302 outptr[3] = dcval;
nuclear@2 303 outptr[4] = dcval;
nuclear@2 304 outptr[5] = dcval;
nuclear@2 305 outptr[6] = dcval;
nuclear@2 306 outptr[7] = dcval;
nuclear@2 307
nuclear@2 308 wsptr += DCTSIZE; /* advance pointer to next row */
nuclear@2 309 continue;
nuclear@2 310 }
nuclear@2 311 #endif
nuclear@2 312
nuclear@2 313 /* Even part */
nuclear@2 314
nuclear@2 315 tmp10 = ((DCTELEM) wsptr[0] + (DCTELEM) wsptr[4]);
nuclear@2 316 tmp11 = ((DCTELEM) wsptr[0] - (DCTELEM) wsptr[4]);
nuclear@2 317
nuclear@2 318 tmp13 = ((DCTELEM) wsptr[2] + (DCTELEM) wsptr[6]);
nuclear@2 319 tmp12 = MULTIPLY((DCTELEM) wsptr[2] - (DCTELEM) wsptr[6], FIX_1_414213562)
nuclear@2 320 - tmp13;
nuclear@2 321
nuclear@2 322 tmp0 = tmp10 + tmp13;
nuclear@2 323 tmp3 = tmp10 - tmp13;
nuclear@2 324 tmp1 = tmp11 + tmp12;
nuclear@2 325 tmp2 = tmp11 - tmp12;
nuclear@2 326
nuclear@2 327 /* Odd part */
nuclear@2 328
nuclear@2 329 z13 = (DCTELEM) wsptr[5] + (DCTELEM) wsptr[3];
nuclear@2 330 z10 = (DCTELEM) wsptr[5] - (DCTELEM) wsptr[3];
nuclear@2 331 z11 = (DCTELEM) wsptr[1] + (DCTELEM) wsptr[7];
nuclear@2 332 z12 = (DCTELEM) wsptr[1] - (DCTELEM) wsptr[7];
nuclear@2 333
nuclear@2 334 tmp7 = z11 + z13; /* phase 5 */
nuclear@2 335 tmp11 = MULTIPLY(z11 - z13, FIX_1_414213562); /* 2*c4 */
nuclear@2 336
nuclear@2 337 z5 = MULTIPLY(z10 + z12, FIX_1_847759065); /* 2*c2 */
nuclear@2 338 tmp10 = MULTIPLY(z12, FIX_1_082392200) - z5; /* 2*(c2-c6) */
nuclear@2 339 tmp12 = MULTIPLY(z10, - FIX_2_613125930) + z5; /* -2*(c2+c6) */
nuclear@2 340
nuclear@2 341 tmp6 = tmp12 - tmp7; /* phase 2 */
nuclear@2 342 tmp5 = tmp11 - tmp6;
nuclear@2 343 tmp4 = tmp10 + tmp5;
nuclear@2 344
nuclear@2 345 /* Final output stage: scale down by a factor of 8 and range-limit */
nuclear@2 346
nuclear@2 347 outptr[0] = range_limit[IDESCALE(tmp0 + tmp7, PASS1_BITS+3)
nuclear@2 348 & RANGE_MASK];
nuclear@2 349 outptr[7] = range_limit[IDESCALE(tmp0 - tmp7, PASS1_BITS+3)
nuclear@2 350 & RANGE_MASK];
nuclear@2 351 outptr[1] = range_limit[IDESCALE(tmp1 + tmp6, PASS1_BITS+3)
nuclear@2 352 & RANGE_MASK];
nuclear@2 353 outptr[6] = range_limit[IDESCALE(tmp1 - tmp6, PASS1_BITS+3)
nuclear@2 354 & RANGE_MASK];
nuclear@2 355 outptr[2] = range_limit[IDESCALE(tmp2 + tmp5, PASS1_BITS+3)
nuclear@2 356 & RANGE_MASK];
nuclear@2 357 outptr[5] = range_limit[IDESCALE(tmp2 - tmp5, PASS1_BITS+3)
nuclear@2 358 & RANGE_MASK];
nuclear@2 359 outptr[4] = range_limit[IDESCALE(tmp3 + tmp4, PASS1_BITS+3)
nuclear@2 360 & RANGE_MASK];
nuclear@2 361 outptr[3] = range_limit[IDESCALE(tmp3 - tmp4, PASS1_BITS+3)
nuclear@2 362 & RANGE_MASK];
nuclear@2 363
nuclear@2 364 wsptr += DCTSIZE; /* advance pointer to next row */
nuclear@2 365 }
nuclear@2 366 }
nuclear@2 367
nuclear@2 368 #endif /* DCT_IFAST_SUPPORTED */