?? blocksort.c
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/*-------------------------------------------------------------*//*--- Block sorting machinery ---*//*--- blocksort.c ---*//*-------------------------------------------------------------*//*-- This file is a part of bzip2 and/or libbzip2, a program and library for lossless, block-sorting data compression. Copyright (C) 1996-2002 Julian R Seward. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. 3. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. 4. The name of the author may not be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. Julian Seward, Cambridge, UK. jseward@acm.org bzip2/libbzip2 version 1.0 of 21 March 2000 This program is based on (at least) the work of: Mike Burrows David Wheeler Peter Fenwick Alistair Moffat Radford Neal Ian H. Witten Robert Sedgewick Jon L. Bentley For more information on these sources, see the manual. To get some idea how the block sorting algorithms in this file work, read my paper On the Performance of BWT Sorting Algorithms in Proceedings of the IEEE Data Compression Conference 2000, Snowbird, Utah, USA, 27-30 March 2000. The main sort in this file implements the algorithm called cache in the paper.--*/#include "bzlib_private.h"/*---------------------------------------------*//*--- Fallback O(N log(N)^2) sorting ---*//*--- algorithm, for repetitive blocks ---*//*---------------------------------------------*//*---------------------------------------------*/static __inline__void fallbackSimpleSort ( UInt32* fmap, UInt32* eclass, Int32 lo, Int32 hi ){ Int32 i, j, tmp; UInt32 ec_tmp; if (lo == hi) return; if (hi - lo > 3) { for ( i = hi-4; i >= lo; i-- ) { tmp = fmap[i]; ec_tmp = eclass[tmp]; for ( j = i+4; j <= hi && ec_tmp > eclass[fmap[j]]; j += 4 ) fmap[j-4] = fmap[j]; fmap[j-4] = tmp; } } for ( i = hi-1; i >= lo; i-- ) { tmp = fmap[i]; ec_tmp = eclass[tmp]; for ( j = i+1; j <= hi && ec_tmp > eclass[fmap[j]]; j++ ) fmap[j-1] = fmap[j]; fmap[j-1] = tmp; }}/*---------------------------------------------*/#define fswap(zz1, zz2) \ { Int32 zztmp = zz1; zz1 = zz2; zz2 = zztmp; }#define fvswap(zzp1, zzp2, zzn) \{ \ Int32 yyp1 = (zzp1); \ Int32 yyp2 = (zzp2); \ Int32 yyn = (zzn); \ while (yyn > 0) { \ fswap(fmap[yyp1], fmap[yyp2]); \ yyp1++; yyp2++; yyn--; \ } \}#define fmin(a,b) ((a) < (b)) ? (a) : (b)#define fpush(lz,hz) { stackLo[sp] = lz; \ stackHi[sp] = hz; \ sp++; }#define fpop(lz,hz) { sp--; \ lz = stackLo[sp]; \ hz = stackHi[sp]; }#define FALLBACK_QSORT_SMALL_THRESH 10#define FALLBACK_QSORT_STACK_SIZE 100staticvoid fallbackQSort3 ( UInt32* fmap, UInt32* eclass, Int32 loSt, Int32 hiSt ){ Int32 unLo, unHi, ltLo, gtHi, n, m; Int32 sp, lo, hi; UInt32 med, r, r3; Int32 stackLo[FALLBACK_QSORT_STACK_SIZE]; Int32 stackHi[FALLBACK_QSORT_STACK_SIZE]; r = 0; sp = 0; fpush ( loSt, hiSt ); while (sp > 0) { AssertH ( sp < FALLBACK_QSORT_STACK_SIZE, 1004 ); fpop ( lo, hi ); if (hi - lo < FALLBACK_QSORT_SMALL_THRESH) { fallbackSimpleSort ( fmap, eclass, lo, hi ); continue; } /* Random partitioning. Median of 3 sometimes fails to avoid bad cases. Median of 9 seems to help but looks rather expensive. This too seems to work but is cheaper. Guidance for the magic constants 7621 and 32768 is taken from Sedgewick's algorithms book, chapter 35. */ r = ((r * 7621) + 1) % 32768; r3 = r % 3; if (r3 == 0) med = eclass[fmap[lo]]; else if (r3 == 1) med = eclass[fmap[(lo+hi)>>1]]; else med = eclass[fmap[hi]]; unLo = ltLo = lo; unHi = gtHi = hi; while (1) { while (1) { if (unLo > unHi) break; n = (Int32)eclass[fmap[unLo]] - (Int32)med; if (n == 0) { fswap(fmap[unLo], fmap[ltLo]); ltLo++; unLo++; continue; }; if (n > 0) break; unLo++; } while (1) { if (unLo > unHi) break; n = (Int32)eclass[fmap[unHi]] - (Int32)med; if (n == 0) { fswap(fmap[unHi], fmap[gtHi]); gtHi--; unHi--; continue; }; if (n < 0) break; unHi--; } if (unLo > unHi) break; fswap(fmap[unLo], fmap[unHi]); unLo++; unHi--; } AssertD ( unHi == unLo-1, "fallbackQSort3(2)" ); if (gtHi < ltLo) continue; n = fmin(ltLo-lo, unLo-ltLo); fvswap(lo, unLo-n, n); m = fmin(hi-gtHi, gtHi-unHi); fvswap(unLo, hi-m+1, m); n = lo + unLo - ltLo - 1; m = hi - (gtHi - unHi) + 1; if (n - lo > hi - m) { fpush ( lo, n ); fpush ( m, hi ); } else { fpush ( m, hi ); fpush ( lo, n ); } }}#undef fmin#undef fpush#undef fpop#undef fswap#undef fvswap#undef FALLBACK_QSORT_SMALL_THRESH#undef FALLBACK_QSORT_STACK_SIZE/*---------------------------------------------*//* Pre: nblock > 0 eclass exists for [0 .. nblock-1] ((UChar*)eclass) [0 .. nblock-1] holds block ptr exists for [0 .. nblock-1] Post: ((UChar*)eclass) [0 .. nblock-1] holds block All other areas of eclass destroyed fmap [0 .. nblock-1] holds sorted order bhtab [ 0 .. 2+(nblock/32) ] destroyed*/#define SET_BH(zz) bhtab[(zz) >> 5] |= (1 << ((zz) & 31))#define CLEAR_BH(zz) bhtab[(zz) >> 5] &= ~(1 << ((zz) & 31))#define ISSET_BH(zz) (bhtab[(zz) >> 5] & (1 << ((zz) & 31)))#define WORD_BH(zz) bhtab[(zz) >> 5]#define UNALIGNED_BH(zz) ((zz) & 0x01f)staticvoid fallbackSort ( UInt32* fmap, UInt32* eclass, UInt32* bhtab, Int32 nblock, Int32 verb ){ Int32 ftab[257]; Int32 ftabCopy[256]; Int32 H, i, j, k, l, r, cc, cc1; Int32 nNotDone; Int32 nBhtab; UChar* eclass8 = (UChar*)eclass; /*-- Initial 1-char radix sort to generate initial fmap and initial BH bits. --*/ if (verb >= 4) VPrintf0 ( " bucket sorting ...\n" ); for (i = 0; i < 257; i++) ftab[i] = 0; for (i = 0; i < nblock; i++) ftab[eclass8[i]]++; for (i = 0; i < 256; i++) ftabCopy[i] = ftab[i]; for (i = 1; i < 257; i++) ftab[i] += ftab[i-1]; for (i = 0; i < nblock; i++) { j = eclass8[i]; k = ftab[j] - 1; ftab[j] = k; fmap[k] = i; } nBhtab = 2 + (nblock / 32); for (i = 0; i < nBhtab; i++) bhtab[i] = 0; for (i = 0; i < 256; i++) SET_BH(ftab[i]); /*-- Inductively refine the buckets. Kind-of an "exponential radix sort" (!), inspired by the Manber-Myers suffix array construction algorithm. --*/ /*-- set sentinel bits for block-end detection --*/ for (i = 0; i < 32; i++) { SET_BH(nblock + 2*i); CLEAR_BH(nblock + 2*i + 1); } /*-- the log(N) loop --*/ H = 1; while (1) { if (verb >= 4) VPrintf1 ( " depth %6d has ", H ); j = 0; for (i = 0; i < nblock; i++) { if (ISSET_BH(i)) j = i; k = fmap[i] - H; if (k < 0) k += nblock; eclass[k] = j; } nNotDone = 0; r = -1; while (1) { /*-- find the next non-singleton bucket --*/ k = r + 1; while (ISSET_BH(k) && UNALIGNED_BH(k)) k++; if (ISSET_BH(k)) { while (WORD_BH(k) == 0xffffffff) k += 32; while (ISSET_BH(k)) k++; } l = k - 1; if (l >= nblock) break; while (!ISSET_BH(k) && UNALIGNED_BH(k)) k++; if (!ISSET_BH(k)) { while (WORD_BH(k) == 0x00000000) k += 32; while (!ISSET_BH(k)) k++; } r = k - 1; if (r >= nblock) break; /*-- now [l, r] bracket current bucket --*/ if (r > l) { nNotDone += (r - l + 1); fallbackQSort3 ( fmap, eclass, l, r ); /*-- scan bucket and generate header bits-- */ cc = -1; for (i = l; i <= r; i++) { cc1 = eclass[fmap[i]]; if (cc != cc1) { SET_BH(i); cc = cc1; }; } } } if (verb >= 4) VPrintf1 ( "%6d unresolved strings\n", nNotDone ); H *= 2; if (H > nblock || nNotDone == 0) break; } /*-- Reconstruct the original block in eclass8 [0 .. nblock-1], since the previous phase destroyed it. --*/ if (verb >= 4) VPrintf0 ( " reconstructing block ...\n" ); j = 0; for (i = 0; i < nblock; i++) { while (ftabCopy[j] == 0) j++; ftabCopy[j]--; eclass8[fmap[i]] = (UChar)j; } AssertH ( j < 256, 1005 );}#undef SET_BH#undef CLEAR_BH#undef ISSET_BH#undef WORD_BH
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