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1
2 /*-------------------------------------------------------------*/
3 /*--- Block sorting machinery ---*/
4 /*--- blocksort.c ---*/
5 /*-------------------------------------------------------------*/
6
7 /*--
8 This file is a part of bzip2 and/or libbzip2, a program and
9 library for lossless, block-sorting data compression.
10
11 Copyright (C) 1996-2002 Julian R Seward. All rights reserved.
12
13 Redistribution and use in source and binary forms, with or without
14 modification, are permitted provided that the following conditions
15 are met:
16
17 1. Redistributions of source code must retain the above copyright
18 notice, this list of conditions and the following disclaimer.
19
20 2. The origin of this software must not be misrepresented; you must
21 not claim that you wrote the original software. If you use this
22 software in a product, an acknowledgment in the product
23 documentation would be appreciated but is not required.
24
25 3. Altered source versions must be plainly marked as such, and must
26 not be misrepresented as being the original software.
27
28 4. The name of the author may not be used to endorse or promote
29 products derived from this software without specific prior written
30 permission.
31
32 THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
33 OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
34 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
35 ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
36 DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
37 DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
38 GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
39 INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
40 WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
41 NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
42 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
43
44 Julian Seward, Cambridge, UK.
45 jseward@acm.org
46 bzip2/libbzip2 version 1.0.6 of 6 September 2010
47 Copyright (C) 1996-2010 Julian Seward <jseward@bzip.org>
48
49 This program is based on (at least) the work of:
50 Mike Burrows
51 David Wheeler
52 Peter Fenwick
53 Alistair Moffat
54 Radford Neal
55 Ian H. Witten
56 Robert Sedgewick
57 Jon L. Bentley
58
59 For more information on these sources, see the manual.
60 --*/
61
62 #include "bzlib_private.h"
63 #include <log.h>
64
65 /*---------------------------------------------*/
66 /*--- Fallback O(N log(N)^2) sorting ---*/
67 /*--- algorithm, for repetitive blocks ---*/
68 /*---------------------------------------------*/
69
70 /*---------------------------------------------*/
71 static
72 __inline__
73 void fallbackSimpleSort ( UInt32* fmap,
74 UInt32* eclass,
75 Int32 lo,
76 Int32 hi )
77 {
78 Int32 i, j, tmp;
79 UInt32 ec_tmp;
80
81 if (lo == hi) return;
82
83 if (hi - lo > 3) {
84 for ( i = hi-4; i >= lo; i-- ) {
85 tmp = fmap[i];
86 ec_tmp = eclass[tmp];
87 for ( j = i+4; j <= hi && ec_tmp > eclass[fmap[j]]; j += 4 )
88 fmap[j-4] = fmap[j];
89 fmap[j-4] = tmp;
90 }
91 }
92
93 for ( i = hi-1; i >= lo; i-- ) {
94 tmp = fmap[i];
95 ec_tmp = eclass[tmp];
96 for ( j = i+1; j <= hi && ec_tmp > eclass[fmap[j]]; j++ )
97 fmap[j-1] = fmap[j];
98 fmap[j-1] = tmp;
99 }
100 }
101
102
103 /*---------------------------------------------*/
104 #define fswap(zz1, zz2) \
105 { Int32 zztmp = zz1; zz1 = zz2; zz2 = zztmp; }
106
107 #define fvswap(zzp1, zzp2, zzn) \
108 { \
109 Int32 yyp1 = (zzp1); \
110 Int32 yyp2 = (zzp2); \
111 Int32 yyn = (zzn); \
112 while (yyn > 0) { \
113 fswap(fmap[yyp1], fmap[yyp2]); \
114 yyp1++; yyp2++; yyn--; \
115 } \
116 }
117
118
119 #define fmin(a,b) ((a) < (b)) ? (a) : (b)
120
121 #define fpush(lz,hz) { stackLo[sp] = lz; \
122 stackHi[sp] = hz; \
123 sp++; }
124
125 #define fpop(lz,hz) { sp--; \
126 lz = stackLo[sp]; \
127 hz = stackHi[sp]; }
128
129 #define FALLBACK_QSORT_SMALL_THRESH 10
130 #define FALLBACK_QSORT_STACK_SIZE 100
131
132
133 static
134 void fallbackQSort3 ( UInt32* fmap,
135 UInt32* eclass,
136 Int32 loSt,
137 Int32 hiSt )
138 {
139 Int32 unLo, unHi, ltLo, gtHi, n, m;
140 Int32 sp, lo, hi;
141 UInt32 med, r, r3;
142 Int32 stackLo[FALLBACK_QSORT_STACK_SIZE];
143 Int32 stackHi[FALLBACK_QSORT_STACK_SIZE];
144
145 r = 0;
146
147 sp = 0;
148 fpush ( loSt, hiSt );
149
150 while (sp > 0) {
151
152 AssertH ( sp < FALLBACK_QSORT_STACK_SIZE - 1, 1004 );
153
154 fpop ( lo, hi );
155 if (hi - lo < FALLBACK_QSORT_SMALL_THRESH) {
156 fallbackSimpleSort ( fmap, eclass, lo, hi );
157 continue;
158 }
159
160 /* Random partitioning. Median of 3 sometimes fails to
161 avoid bad cases. Median of 9 seems to help but
162 looks rather expensive. This too seems to work but
163 is cheaper. Guidance for the magic constants
164 7621 and 32768 is taken from Sedgewick's algorithms
165 book, chapter 35.
166 */
167 r = ((r * 7621) + 1) % 32768;
168 r3 = r % 3;
169 if (r3 == 0) med = eclass[fmap[lo]]; else
170 if (r3 == 1) med = eclass[fmap[(lo+hi)>>1]]; else
171 med = eclass[fmap[hi]];
172
173 unLo = ltLo = lo;
174 unHi = gtHi = hi;
175
176 while (1) {
177 while (1) {
178 if (unLo > unHi) break;
179 n = (Int32)eclass[fmap[unLo]] - (Int32)med;
180 if (n == 0) {
181 fswap(fmap[unLo], fmap[ltLo]);
182 ltLo++; unLo++;
183 continue;
184 };
185 if (n > 0) break;
186 unLo++;
187 }
188 while (1) {
189 if (unLo > unHi) break;
190 n = (Int32)eclass[fmap[unHi]] - (Int32)med;
191 if (n == 0) {
192 fswap(fmap[unHi], fmap[gtHi]);
193 gtHi--; unHi--;
194 continue;
195 };
196 if (n < 0) break;
197 unHi--;
198 }
199 if (unLo > unHi) break;
200 fswap(fmap[unLo], fmap[unHi]); unLo++; unHi--;
201 }
202
203 AssertD ( unHi == unLo-1, "fallbackQSort3(2)" );
204
205 if (gtHi < ltLo) continue;
206
207 n = fmin(ltLo-lo, unLo-ltLo); fvswap(lo, unLo-n, n);
208 m = fmin(hi-gtHi, gtHi-unHi); fvswap(unLo, hi-m+1, m);
209
210 n = lo + unLo - ltLo - 1;
211 m = hi - (gtHi - unHi) + 1;
212
213 if (n - lo > hi - m) {
214 fpush ( lo, n );
215 fpush ( m, hi );
216 } else {
217 fpush ( m, hi );
218 fpush ( lo, n );
219 }
220 }
221 }
222
223 #undef fmin
224 #undef fpush
225 #undef fpop
226 #undef fswap
227 #undef fvswap
228 #undef FALLBACK_QSORT_SMALL_THRESH
229 #undef FALLBACK_QSORT_STACK_SIZE
230
231
232 /*---------------------------------------------*/
233 /* Pre:
234 nblock > 0
235 eclass exists for [0 .. nblock-1]
236 ((UChar*)eclass) [0 .. nblock-1] holds block
237 ptr exists for [0 .. nblock-1]
238
239 Post:
240 ((UChar*)eclass) [0 .. nblock-1] holds block
241 All other areas of eclass destroyed
242 fmap [0 .. nblock-1] holds sorted order
243 bhtab [ 0 .. 2+(nblock/32) ] destroyed
244 */
245
246 #define SET_BH(zz) bhtab[(zz) >> 5] |= (1 << ((zz) & 31))
247 #define CLEAR_BH(zz) bhtab[(zz) >> 5] &= ~(1 << ((zz) & 31))
248 #define ISSET_BH(zz) (bhtab[(zz) >> 5] & (1 << ((zz) & 31)))
249 #define WORD_BH(zz) bhtab[(zz) >> 5]
250 #define UNALIGNED_BH(zz) ((zz) & 0x01f)
251
252 static
253 void fallbackSort ( UInt32* fmap,
254 UInt32* eclass,
255 UInt32* bhtab,
256 Int32 nblock,
257 Int32 verb )
258 {
259 Int32 ftab[257];
260 Int32 ftabCopy[256];
261 Int32 H, i, j, k, l, r, cc, cc1;
262 Int32 nNotDone;
263 Int32 nBhtab;
264 UChar* eclass8 = (UChar*)eclass;
265
266 /*--
267 Initial 1-char radix sort to generate
268 initial fmap and initial BH bits.
269 --*/
270 if (verb >= 4)
271 VPrintf0 ( " bucket sorting ...\n" );
272 for (i = 0; i < 257; i++) ftab[i] = 0;
273 for (i = 0; i < nblock; i++) ftab[eclass8[i]]++;
274 for (i = 0; i < 256; i++) ftabCopy[i] = ftab[i];
275 for (i = 1; i < 257; i++) ftab[i] += ftab[i-1];
276
277 for (i = 0; i < nblock; i++) {
278 j = eclass8[i];
279 k = ftab[j] - 1;
280 ftab[j] = k;
281 fmap[k] = i;
282 }
283
284 nBhtab = 2 + (nblock / 32);
285 for (i = 0; i < nBhtab; i++) bhtab[i] = 0;
286 for (i = 0; i < 256; i++) SET_BH(ftab[i]);
287
288 /*--
289 Inductively refine the buckets. Kind-of an
290 "exponential radix sort" (!), inspired by the
291 Manber-Myers suffix array construction algorithm.
292 --*/
293
294 /*-- set sentinel bits for block-end detection --*/
295 for (i = 0; i < 32; i++) {
296 SET_BH(nblock + 2*i);
297 CLEAR_BH(nblock + 2*i + 1);
298 }
299
300 /*-- the log(N) loop --*/
301 H = 1;
302 while (1) {
303
304 if (verb >= 4)
305 VPrintf1 ( " depth %6d has ", H );
306
307 j = 0;
308 for (i = 0; i < nblock; i++) {
309 if (ISSET_BH(i)) j = i;
310 k = fmap[i] - H; if (k < 0) k += nblock;
311 eclass[k] = j;
312 }
313
314 nNotDone = 0;
315 r = -1;
316 while (1) {
317
318 /*-- find the next non-singleton bucket --*/
319 k = r + 1;
320 while (ISSET_BH(k) && UNALIGNED_BH(k)) k++;
321 if (ISSET_BH(k)) {
322 while (WORD_BH(k) == 0xffffffff) k += 32;
323 while (ISSET_BH(k)) k++;
324 }
325 l = k - 1;
326 if (l >= nblock) break;
327 while (!ISSET_BH(k) && UNALIGNED_BH(k)) k++;
328 if (!ISSET_BH(k)) {
329 while (WORD_BH(k) == 0x00000000) k += 32;
330 while (!ISSET_BH(k)) k++;
331 }
332 r = k - 1;
333 if (r >= nblock) break;
334
335 /*-- now [l, r] bracket current bucket --*/
336 if (r > l) {
337 nNotDone += (r - l + 1);
338 fallbackQSort3 ( fmap, eclass, l, r );
339
340 /*-- scan bucket and generate header bits-- */
341 cc = -1;
342 for (i = l; i <= r; i++) {
343 cc1 = eclass[fmap[i]];
344 if (cc != cc1) { SET_BH(i); cc = cc1; };
345 }
346 }
347 }
348
349 if (verb >= 4)
350 VPrintf1 ( "%6d unresolved strings\n", nNotDone );
351
352 H *= 2;
353 if (H > nblock || nNotDone == 0) break;
354 }
355
356 /*--
357 Reconstruct the original block in
358 eclass8 [0 .. nblock-1], since the
359 previous phase destroyed it.
360 --*/
361 if (verb >= 4)
362 VPrintf0 ( " reconstructing block ...\n" );
363 j = 0;
364 for (i = 0; i < nblock; i++) {
365 while (ftabCopy[j] == 0) j++;
366 ftabCopy[j]--;
367 eclass8[fmap[i]] = (UChar)j;
368 }
369 AssertH ( j < 256, 1005 );
370 }
371
372 #undef SET_BH
373 #undef CLEAR_BH
374 #undef ISSET_BH
375 #undef WORD_BH
376 #undef UNALIGNED_BH
377
378
379 /*---------------------------------------------*/
380 /*--- The main, O(N^2 log(N)) sorting ---*/
381 /*--- algorithm. Faster for "normal" ---*/
382 /*--- non-repetitive blocks. ---*/
383 /*---------------------------------------------*/
384
385 /*---------------------------------------------*/
386 static
387 __inline__
388 Bool mainGtU ( UInt32 i1,
389 UInt32 i2,
390 UChar* block,
391 UInt16* quadrant,
392 UInt32 nblock,
393 Int32* budget )
394 {
395 Int32 k;
396 UChar c1, c2;
397 UInt16 s1, s2;
398
399 AssertD ( i1 != i2, "mainGtU" );
400 /* 1 */
401 c1 = block[i1]; c2 = block[i2];
402 if (c1 != c2) return (c1 > c2);
403 i1++; i2++;
404 /* 2 */
405 c1 = block[i1]; c2 = block[i2];
406 if (c1 != c2) return (c1 > c2);
407 i1++; i2++;
408 /* 3 */
409 c1 = block[i1]; c2 = block[i2];
410 if (c1 != c2) return (c1 > c2);
411 i1++; i2++;
412 /* 4 */
413 c1 = block[i1]; c2 = block[i2];
414 if (c1 != c2) return (c1 > c2);
415 i1++; i2++;
416 /* 5 */
417 c1 = block[i1]; c2 = block[i2];
418 if (c1 != c2) return (c1 > c2);
419 i1++; i2++;
420 /* 6 */
421 c1 = block[i1]; c2 = block[i2];
422 if (c1 != c2) return (c1 > c2);
423 i1++; i2++;
424 /* 7 */
425 c1 = block[i1]; c2 = block[i2];
426 if (c1 != c2) return (c1 > c2);
427 i1++; i2++;
428 /* 8 */
429 c1 = block[i1]; c2 = block[i2];
430 if (c1 != c2) return (c1 > c2);
431 i1++; i2++;
432 /* 9 */
433 c1 = block[i1]; c2 = block[i2];
434 if (c1 != c2) return (c1 > c2);
435 i1++; i2++;
436 /* 10 */
437 c1 = block[i1]; c2 = block[i2];
438 if (c1 != c2) return (c1 > c2);
439 i1++; i2++;
440 /* 11 */
441 c1 = block[i1]; c2 = block[i2];
442 if (c1 != c2) return (c1 > c2);
443 i1++; i2++;
444 /* 12 */
445 c1 = block[i1]; c2 = block[i2];
446 if (c1 != c2) return (c1 > c2);
447 i1++; i2++;
448
449 k = nblock + 8;
450
451 do {
452 /* 1 */
453 c1 = block[i1]; c2 = block[i2];
454 if (c1 != c2) return (c1 > c2);
455 s1 = quadrant[i1]; s2 = quadrant[i2];
456 if (s1 != s2) return (s1 > s2);
457 i1++; i2++;
458 /* 2 */
459 c1 = block[i1]; c2 = block[i2];
460 if (c1 != c2) return (c1 > c2);
461 s1 = quadrant[i1]; s2 = quadrant[i2];
462 if (s1 != s2) return (s1 > s2);
463 i1++; i2++;
464 /* 3 */
465 c1 = block[i1]; c2 = block[i2];
466 if (c1 != c2) return (c1 > c2);
467 s1 = quadrant[i1]; s2 = quadrant[i2];
468 if (s1 != s2) return (s1 > s2);
469 i1++; i2++;
470 /* 4 */
471 c1 = block[i1]; c2 = block[i2];
472 if (c1 != c2) return (c1 > c2);
473 s1 = quadrant[i1]; s2 = quadrant[i2];
474 if (s1 != s2) return (s1 > s2);
475 i1++; i2++;
476 /* 5 */
477 c1 = block[i1]; c2 = block[i2];
478 if (c1 != c2) return (c1 > c2);
479 s1 = quadrant[i1]; s2 = quadrant[i2];
480 if (s1 != s2) return (s1 > s2);
481 i1++; i2++;
482 /* 6 */
483 c1 = block[i1]; c2 = block[i2];
484 if (c1 != c2) return (c1 > c2);
485 s1 = quadrant[i1]; s2 = quadrant[i2];
486 if (s1 != s2) return (s1 > s2);
487 i1++; i2++;
488 /* 7 */
489 c1 = block[i1]; c2 = block[i2];
490 if (c1 != c2) return (c1 > c2);
491 s1 = quadrant[i1]; s2 = quadrant[i2];
492 if (s1 != s2) return (s1 > s2);
493 i1++; i2++;
494 /* 8 */
495 c1 = block[i1]; c2 = block[i2];
496 if (c1 != c2) return (c1 > c2);
497 s1 = quadrant[i1]; s2 = quadrant[i2];
498 if (s1 != s2) return (s1 > s2);
499 i1++; i2++;
500
501 if (i1 >= nblock) i1 -= nblock;
502 if (i2 >= nblock) i2 -= nblock;
503
504 k -= 8;
505 (*budget)--;
506 }
507 while (k >= 0);
508
509 return False;
510 }
511
512
513 /*---------------------------------------------*/
514 /*--
515 Knuth's increments seem to work better
516 than Incerpi-Sedgewick here. Possibly
517 because the number of elems to sort is
518 usually small, typically <= 20.
519 --*/
520 static
521 Int32 incs[14] = { 1, 4, 13, 40, 121, 364, 1093, 3280,
522 9841, 29524, 88573, 265720,
523 797161, 2391484 };
524
525 static
526 void mainSimpleSort ( UInt32* ptr,
527 UChar* block,
528 UInt16* quadrant,
529 Int32 nblock,
530 Int32 lo,
531 Int32 hi,
532 Int32 d,
533 Int32* budget )
534 {
535 Int32 i, j, h, bigN, hp;
536 UInt32 v;
537
538 bigN = hi - lo + 1;
539 if (bigN < 2) return;
540
541 hp = 0;
542 while (incs[hp] < bigN) hp++;
543 hp--;
544
545 for (; hp >= 0; hp--) {
546 h = incs[hp];
547
548 i = lo + h;
549 while (True) {
550
551 /*-- copy 1 --*/
552 if (i > hi) break;
553 v = ptr[i];
554 j = i;
555 while ( mainGtU (
556 ptr[j-h]+d, v+d, block, quadrant, nblock, budget
557 ) ) {
558 ptr[j] = ptr[j-h];
559 j = j - h;
560 if (j <= (lo + h - 1)) break;
561 }
562 ptr[j] = v;
563 i++;
564
565 /*-- copy 2 --*/
566 if (i > hi) break;
567 v = ptr[i];
568 j = i;
569 while ( mainGtU (
570 ptr[j-h]+d, v+d, block, quadrant, nblock, budget
571 ) ) {
572 ptr[j] = ptr[j-h];
573 j = j - h;
574 if (j <= (lo + h - 1)) break;
575 }
576 ptr[j] = v;
577 i++;
578
579 /*-- copy 3 --*/
580 if (i > hi) break;
581 v = ptr[i];
582 j = i;
583 while ( mainGtU (
584 ptr[j-h]+d, v+d, block, quadrant, nblock, budget
585 ) ) {
586 ptr[j] = ptr[j-h];
587 j = j - h;
588 if (j <= (lo + h - 1)) break;
589 }
590 ptr[j] = v;
591 i++;
592
593 if (*budget < 0) return;
594 }
595 }
596 }
597
598
599 /*---------------------------------------------*/
600 /*--
601 The following is an implementation of
602 an elegant 3-way quicksort for strings,
603 described in a paper "Fast Algorithms for
604 Sorting and Searching Strings", by Robert
605 Sedgewick and Jon L. Bentley.
606 --*/
607
608 #define mswap(zz1, zz2) \
609 { Int32 zztmp = zz1; zz1 = zz2; zz2 = zztmp; }
610
611 #define mvswap(zzp1, zzp2, zzn) \
612 { \
613 Int32 yyp1 = (zzp1); \
614 Int32 yyp2 = (zzp2); \
615 Int32 yyn = (zzn); \
616 while (yyn > 0) { \
617 mswap(ptr[yyp1], ptr[yyp2]); \
618 yyp1++; yyp2++; yyn--; \
619 } \
620 }
621
622 static
623 __inline__
624 UChar mmed3 ( UChar a, UChar b, UChar c )
625 {
626 UChar t;
627 if (a > b) { t = a; a = b; b = t; };
628 if (b > c) {
629 b = c;
630 if (a > b) b = a;
631 }
632 return b;
633 }
634
635 #define mmin(a,b) ((a) < (b)) ? (a) : (b)
636
637 #define mpush(lz,hz,dz) { stackLo[sp] = lz; \
638 stackHi[sp] = hz; \
639 stackD [sp] = dz; \
640 sp++; }
641
642 #define mpop(lz,hz,dz) { sp--; \
643 lz = stackLo[sp]; \
644 hz = stackHi[sp]; \
645 dz = stackD [sp]; }
646
647
648 #define mnextsize(az) (nextHi[az]-nextLo[az])
649
650 #define mnextswap(az,bz) \
651 { Int32 tz; \
652 tz = nextLo[az]; nextLo[az] = nextLo[bz]; nextLo[bz] = tz; \
653 tz = nextHi[az]; nextHi[az] = nextHi[bz]; nextHi[bz] = tz; \
654 tz = nextD [az]; nextD [az] = nextD [bz]; nextD [bz] = tz; }
655
656
657 #define MAIN_QSORT_SMALL_THRESH 20
658 #define MAIN_QSORT_DEPTH_THRESH (BZ_N_RADIX + BZ_N_QSORT)
659 #define MAIN_QSORT_STACK_SIZE 100
660
661 static
662 void mainQSort3 ( UInt32* ptr,
663 UChar* block,
664 UInt16* quadrant,
665 Int32 nblock,
666 Int32 loSt,
667 Int32 hiSt,
668 Int32 dSt,
669 Int32* budget )
670 {
671 Int32 unLo, unHi, ltLo, gtHi, n, m, med;
672 Int32 sp, lo, hi, d;
673
674 Int32 stackLo[MAIN_QSORT_STACK_SIZE];
675 Int32 stackHi[MAIN_QSORT_STACK_SIZE];
676 Int32 stackD [MAIN_QSORT_STACK_SIZE];
677
678 Int32 nextLo[3];
679 Int32 nextHi[3];
680 Int32 nextD [3];
681
682 sp = 0;
683 mpush ( loSt, hiSt, dSt );
684
685 while (sp > 0) {
686
687 AssertH ( sp < MAIN_QSORT_STACK_SIZE - 2, 1001 );
688
689 mpop ( lo, hi, d );
690 if (hi - lo < MAIN_QSORT_SMALL_THRESH ||
691 d > MAIN_QSORT_DEPTH_THRESH) {
692 mainSimpleSort ( ptr, block, quadrant, nblock, lo, hi, d, budget );
693 if (*budget < 0) return;
694 continue;
695 }
696
697 med = (Int32)
698 mmed3 ( block[ptr[ lo ]+d],
699 block[ptr[ hi ]+d],
700 block[ptr[ (lo+hi)>>1 ]+d] );
701
702 unLo = ltLo = lo;
703 unHi = gtHi = hi;
704
705 while (True) {
706 while (True) {
707 if (unLo > unHi) break;
708 n = ((Int32)block[ptr[unLo]+d]) - med;
709 if (n == 0) {
710 mswap(ptr[unLo], ptr[ltLo]);
711 ltLo++; unLo++; continue;
712 };
713 if (n > 0) break;
714 unLo++;
715 }
716 while (True) {
717 if (unLo > unHi) break;
718 n = ((Int32)block[ptr[unHi]+d]) - med;
719 if (n == 0) {
720 mswap(ptr[unHi], ptr[gtHi]);
721 gtHi--; unHi--; continue;
722 };
723 if (n < 0) break;
724 unHi--;
725 }
726 if (unLo > unHi) break;
727 mswap(ptr[unLo], ptr[unHi]); unLo++; unHi--;
728 }
729
730 AssertD ( unHi == unLo-1, "mainQSort3(2)" );
731
732 if (gtHi < ltLo) {
733 mpush(lo, hi, d+1 );
734 continue;
735 }
736
737 n = mmin(ltLo-lo, unLo-ltLo); mvswap(lo, unLo-n, n);
738 m = mmin(hi-gtHi, gtHi-unHi); mvswap(unLo, hi-m+1, m);
739
740 n = lo + unLo - ltLo - 1;
741 m = hi - (gtHi - unHi) + 1;
742
743 nextLo[0] = lo; nextHi[0] = n; nextD[0] = d;
744 nextLo[1] = m; nextHi[1] = hi; nextD[1] = d;
745 nextLo[2] = n+1; nextHi[2] = m-1; nextD[2] = d+1;
746
747 if (mnextsize(0) < mnextsize(1)) mnextswap(0,1);
748 if (mnextsize(1) < mnextsize(2)) mnextswap(1,2);
749 if (mnextsize(0) < mnextsize(1)) mnextswap(0,1);
750
751 AssertD (mnextsize(0) >= mnextsize(1), "mainQSort3(8)" );
752 AssertD (mnextsize(1) >= mnextsize(2), "mainQSort3(9)" );
753
754 mpush (nextLo[0], nextHi[0], nextD[0]);
755 mpush (nextLo[1], nextHi[1], nextD[1]);
756 mpush (nextLo[2], nextHi[2], nextD[2]);
757 }
758 }
759
760 #undef mswap
761 #undef mvswap
762 #undef mpush
763 #undef mpop
764 #undef mmin
765 #undef mnextsize
766 #undef mnextswap
767 #undef MAIN_QSORT_SMALL_THRESH
768 #undef MAIN_QSORT_DEPTH_THRESH
769 #undef MAIN_QSORT_STACK_SIZE
770
771
772 /*---------------------------------------------*/
773 /* Pre:
774 nblock > N_OVERSHOOT
775 block32 exists for [0 .. nblock-1 +N_OVERSHOOT]
776 ((UChar*)block32) [0 .. nblock-1] holds block
777 ptr exists for [0 .. nblock-1]
778
779 Post:
780 ((UChar*)block32) [0 .. nblock-1] holds block
781 All other areas of block32 destroyed
782 ftab [0 .. 65536 ] destroyed
783 ptr [0 .. nblock-1] holds sorted order
784 if (*budget < 0), sorting was abandoned
785 */
786
787 #define BIGFREQ(b) (ftab[((b)+1) << 8] - ftab[(b) << 8])
788 #define SETMASK (1 << 21)
789 #define CLEARMASK (~(SETMASK))
790
791 static
792 void mainSort ( UInt32* ptr,
793 UChar* block,
794 UInt16* quadrant,
795 UInt32* ftab,
796 Int32 nblock,
797 Int32 verb,
798 Int32* budget )
799 {
800 Int32 i, j, k, ss, sb;
801 Int32 runningOrder[256];
802 Bool bigDone[256];
803 Int32 copyStart[256];
804 Int32 copyEnd [256];
805 UChar c1;
806 Int32 numQSorted;
807 UInt16 s;
808 if (verb >= 4) VPrintf0 ( " main sort initialise ...\n" );
809
810 /*-- set up the 2-byte frequency table --*/
811 for (i = 65536; i >= 0; i--) ftab[i] = 0;
812
813 j = block[0] << 8;
814 i = nblock-1;
815 for (; i >= 3; i -= 4) {
816 quadrant[i] = 0;
817 j = (j >> 8) | ( ((UInt16)block[i]) << 8);
818 ftab[j]++;
819 quadrant[i-1] = 0;
820 j = (j >> 8) | ( ((UInt16)block[i-1]) << 8);
821 ftab[j]++;
822 quadrant[i-2] = 0;
823 j = (j >> 8) | ( ((UInt16)block[i-2]) << 8);
824 ftab[j]++;
825 quadrant[i-3] = 0;
826 j = (j >> 8) | ( ((UInt16)block[i-3]) << 8);
827 ftab[j]++;
828 }
829 for (; i >= 0; i--) {
830 quadrant[i] = 0;
831 j = (j >> 8) | ( ((UInt16)block[i]) << 8);
832 ftab[j]++;
833 }
834
835 /*-- (emphasises close relationship of block & quadrant) --*/
836 for (i = 0; i < BZ_N_OVERSHOOT; i++) {
837 block [nblock+i] = block[i];
838 quadrant[nblock+i] = 0;
839 }
840
841 if (verb >= 4) VPrintf0 ( " bucket sorting ...\n" );
842
843 /*-- Complete the initial radix sort --*/
844 for (i = 1; i <= 65536; i++) ftab[i] += ftab[i-1];
845
846 s = block[0] << 8;
847 i = nblock-1;
848 for (; i >= 3; i -= 4) {
849 s = (s >> 8) | (block[i] << 8);
850 j = ftab[s] -1;
851 ftab[s] = j;
852 ptr[j] = i;
853 s = (s >> 8) | (block[i-1] << 8);
854 j = ftab[s] -1;
855 ftab[s] = j;
856 ptr[j] = i-1;
857 s = (s >> 8) | (block[i-2] << 8);
858 j = ftab[s] -1;
859 ftab[s] = j;
860 ptr[j] = i-2;
861 s = (s >> 8) | (block[i-3] << 8);
862 j = ftab[s] -1;
863 ftab[s] = j;
864 ptr[j] = i-3;
865 }
866 for (; i >= 0; i--) {
867 s = (s >> 8) | (block[i] << 8);
868 j = ftab[s] -1;
869 ftab[s] = j;
870 ptr[j] = i;
871 }
872
873 /*--
874 Now ftab contains the first loc of every small bucket.
875 Calculate the running order, from smallest to largest
876 big bucket.
877 --*/
878 for (i = 0; i <= 255; i++) {
879 bigDone [i] = False;
880 runningOrder[i] = i;
881 }
882
883 {
884 Int32 vv;
885 Int32 h = 1;
886 do h = 3 * h + 1; while (h <= 256);
887 do {
888 h = h / 3;
889 for (i = h; i <= 255; i++) {
890 vv = runningOrder[i];
891 j = i;
892 while ( BIGFREQ(runningOrder[j-h]) > BIGFREQ(vv) ) {
893 runningOrder[j] = runningOrder[j-h];
894 j = j - h;
895 if (j <= (h - 1)) goto zero;
896 }
897 zero:
898 runningOrder[j] = vv;
899 }
900 } while (h != 1);
901 }
902
903 /*--
904 The main sorting loop.
905 --*/
906
907 numQSorted = 0;
908
909 for (i = 0; i <= 255; i++) {
910
911 /*--
912 Process big buckets, starting with the least full.
913 Basically this is a 3-step process in which we call
914 mainQSort3 to sort the small buckets [ss, j], but
915 also make a big effort to avoid the calls if we can.
916 --*/
917 ss = runningOrder[i];
918
919 /*--
920 Step 1:
921 Complete the big bucket [ss] by quicksorting
922 any unsorted small buckets [ss, j], for j != ss.
923 Hopefully previous pointer-scanning phases have already
924 completed many of the small buckets [ss, j], so
925 we don't have to sort them at all.
926 --*/
927 for (j = 0; j <= 255; j++) {
928 if (j != ss) {
929 sb = (ss << 8) + j;
930 if ( ! (ftab[sb] & SETMASK) ) {
931 Int32 lo = ftab[sb] & CLEARMASK;
932 Int32 hi = (ftab[sb+1] & CLEARMASK) - 1;
933 if (hi > lo) {
934 if (verb >= 4)
935 VPrintf4 ( " qsort [0x%x, 0x%x] "
936 "done %d this %d\n",
937 ss, j, numQSorted, hi - lo + 1 );
938 mainQSort3 (
939 ptr, block, quadrant, nblock,
940 lo, hi, BZ_N_RADIX, budget
941 );
942 numQSorted += (hi - lo + 1);
943 if (*budget < 0) return;
944 }
945 }
946 ftab[sb] |= SETMASK;
947 }
948 }
949
950 AssertH ( !bigDone[ss], 1006 );
951
952 /*--
953 Step 2:
954 Now scan this big bucket [ss] so as to synthesise the
955 sorted order for small buckets [t, ss] for all t,
956 including, magically, the bucket [ss,ss] too.
957 This will avoid doing Real Work in subsequent Step 1's.
958 --*/
959 {
960 for (j = 0; j <= 255; j++) {
961 copyStart[j] = ftab[(j << 8) + ss] & CLEARMASK;
962 copyEnd [j] = (ftab[(j << 8) + ss + 1] & CLEARMASK) - 1;
963 }
964 for (j = ftab[ss << 8] & CLEARMASK; j < copyStart[ss]; j++) {
965 k = ptr[j]-1; if (k < 0) k += nblock;
966 c1 = block[k];
967 if (!bigDone[c1])
968 ptr[ copyStart[c1]++ ] = k;
969 }
970 for (j = (ftab[(ss+1) << 8] & CLEARMASK) - 1; j > copyEnd[ss]; j--) {
971 k = ptr[j]-1; if (k < 0) k += nblock;
972 c1 = block[k];
973 if (!bigDone[c1])
974 ptr[ copyEnd[c1]-- ] = k;
975 }
976 }
977
978 AssertH ( (copyStart[ss]-1 == copyEnd[ss])
979 ||
980 /* Extremely rare case missing in bzip2-1.0.0 and 1.0.1.
981 Necessity for this case is demonstrated by compressing
982 a sequence of approximately 48.5 million of character
983 251; 1.0.0/1.0.1 will then die here. */
984 (copyStart[ss] == 0 && copyEnd[ss] == nblock-1),
985 1007 )
986
987 for (j = 0; j <= 255; j++) ftab[(j << 8) + ss] |= SETMASK;
988
989 /*--
990 Step 3:
991 The [ss] big bucket is now done. Record this fact,
992 and update the quadrant descriptors. Remember to
993 update quadrants in the overshoot area too, if
994 necessary. The "if (i < 255)" test merely skips
995 this updating for the last bucket processed, since
996 updating for the last bucket is pointless.
997
998 The quadrant array provides a way to incrementally
999 cache sort orderings, as they appear, so as to
1000 make subsequent comparisons in fullGtU() complete
1001 faster. For repetitive blocks this makes a big
1002 difference (but not big enough to be able to avoid
1003 the fallback sorting mechanism, exponential radix sort).
1004
1005 The precise meaning is: at all times:
1006
1007 for 0 <= i < nblock and 0 <= j <= nblock
1008
1009 if block[i] != block[j],
1010
1011 then the relative values of quadrant[i] and
1012 quadrant[j] are meaningless.
1013
1014 else {
1015 if quadrant[i] < quadrant[j]
1016 then the string starting at i lexicographically
1017 precedes the string starting at j
1018
1019 else if quadrant[i] > quadrant[j]
1020 then the string starting at j lexicographically
1021 precedes the string starting at i
1022
1023 else
1024 the relative ordering of the strings starting
1025 at i and j has not yet been determined.
1026 }
1027 --*/
1028 bigDone[ss] = True;
1029
1030 if (i < 255) {
1031 Int32 bbStart = ftab[ss << 8] & CLEARMASK;
1032 Int32 bbSize = (ftab[(ss+1) << 8] & CLEARMASK) - bbStart;
1033 Int32 shifts = 0;
1034
1035 while ((bbSize >> shifts) > 65534) shifts++;
1036
1037 for (j = bbSize-1; j >= 0; j--) {
1038 Int32 a2update = ptr[bbStart + j];
1039 UInt16 qVal = (UInt16)(j >> shifts);
1040 quadrant[a2update] = qVal;
1041 if (a2update < BZ_N_OVERSHOOT)
1042 quadrant[a2update + nblock] = qVal;
1043 }
1044 AssertH ( ((bbSize-1) >> shifts) <= 65535, 1002 );
1045 }
1046
1047 }
1048
1049 if (verb >= 4)
1050 VPrintf3 ( " %d pointers, %d sorted, %d scanned\n",
1051 nblock, numQSorted, nblock - numQSorted );
1052 }
1053
1054 #undef BIGFREQ
1055 #undef SETMASK
1056 #undef CLEARMASK
1057
1058
1059 /*---------------------------------------------*/
1060 /* Pre:
1061 nblock > 0
1062 arr2 exists for [0 .. nblock-1 +N_OVERSHOOT]
1063 ((UChar*)arr2) [0 .. nblock-1] holds block
1064 arr1 exists for [0 .. nblock-1]
1065
1066 Post:
1067 ((UChar*)arr2) [0 .. nblock-1] holds block
1068 All other areas of block destroyed
1069 ftab [ 0 .. 65536 ] destroyed
1070 arr1 [0 .. nblock-1] holds sorted order
1071 */
1072 void BZ2_blockSort ( EState* s )
1073 {
1074 UInt32* ptr = s->ptr;
1075 UChar* block = s->block;
1076 UInt32* ftab = s->ftab;
1077 Int32 nblock = s->nblock;
1078 Int32 verb = s->verbosity;
1079 Int32 wfact = s->workFactor;
1080 UInt16* quadrant;
1081 Int32 budget;
1082 Int32 budgetInit;
1083 Int32 i;
1084
1085 if (nblock < 10000) {
1086 fallbackSort ( s->arr1, s->arr2, ftab, nblock, verb );
1087 } else {
1088 /* Calculate the location for quadrant, remembering to get
1089 the alignment right. Assumes that &(block[0]) is at least
1090 2-byte aligned -- this should be ok since block is really
1091 the first section of arr2.
1092 */
1093 i = nblock+BZ_N_OVERSHOOT;
1094 if (i & 1) i++;
1095 quadrant = (UInt16*)(&(block[i]));
1096
1097 /* (wfact-1) / 3 puts the default-factor-30
1098 transition point at very roughly the same place as
1099 with v0.1 and v0.9.0.
1100 Not that it particularly matters any more, since the
1101 resulting compressed stream is now the same regardless
1102 of whether or not we use the main sort or fallback sort.
1103 */
1104 if (wfact < 1 ) wfact = 1;
1105 if (wfact > 100) wfact = 100;
1106 budgetInit = nblock * ((wfact-1) / 3);
1107 budget = budgetInit;
1108
1109 mainSort ( ptr, block, quadrant, ftab, nblock, verb, &budget );
1110 if (verb >= 3)
1111 VPrintf3 ( " %d work, %d block, ratio %5.2f\n",
1112 budgetInit - budget,
1113 nblock,
1114 (float)(budgetInit - budget) /
1115 (float)(nblock==0 ? 1 : nblock) );
1116 if (budget < 0) {
1117 if (verb >= 2)
1118 VPrintf0 ( " too repetitive; using fallback"
1119 " sorting algorithm\n" );
1120 fallbackSort ( s->arr1, s->arr2, ftab, nblock, verb );
1121 }
1122 }
1123
1124 s->origPtr = -1;
1125 for (i = 0; i < s->nblock; i++)
1126 if (ptr[i] == 0)
1127 { s->origPtr = i; break; };
1128
1129 AssertH( s->origPtr != -1, 1003 );
1130 }
1131
1132
1133 /*-------------------------------------------------------------*/
1134 /*--- end blocksort.c ---*/
1135 /*-------------------------------------------------------------*/