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/cvs/cvsroot/staticperl/perl/pp_sort.c
Revision: 1.1
Committed: Thu Jun 30 14:26:42 2005 UTC (21 years, 3 months ago) by root
Content type: text/plain
Branch: MAIN
CVS Tags: PERL-5-8-7, HEAD
Branch point for: PERL
Log Message:
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File Contents

# User Rev Content
1 root 1.1 /* pp_sort.c
2     *
3     * Copyright (C) 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999,
4     * 2000, 2001, 2002, 2003, 2004, 2005, by Larry Wall and others
5     *
6     * You may distribute under the terms of either the GNU General Public
7     * License or the Artistic License, as specified in the README file.
8     *
9     */
10    
11     /*
12     * ...they shuffled back towards the rear of the line. 'No, not at the
13     * rear!' the slave-driver shouted. 'Three files up. And stay there...
14     */
15    
16     /* This file contains pp ("push/pop") functions that
17     * execute the opcodes that make up a perl program. A typical pp function
18     * expects to find its arguments on the stack, and usually pushes its
19     * results onto the stack, hence the 'pp' terminology. Each OP structure
20     * contains a pointer to the relevant pp_foo() function.
21     *
22     * This particular file just contains pp_sort(), which is complex
23     * enough to merit its own file! See the other pp*.c files for the rest of
24     * the pp_ functions.
25     */
26    
27     #include "EXTERN.h"
28     #define PERL_IN_PP_SORT_C
29     #include "perl.h"
30    
31     #if defined(UNDER_CE)
32     /* looks like 'small' is reserved word for WINCE (or somesuch)*/
33     #define small xsmall
34     #endif
35    
36     static I32 sortcv(pTHX_ SV *a, SV *b);
37     static I32 sortcv_stacked(pTHX_ SV *a, SV *b);
38     static I32 sortcv_xsub(pTHX_ SV *a, SV *b);
39     static I32 sv_ncmp(pTHX_ SV *a, SV *b);
40     static I32 sv_i_ncmp(pTHX_ SV *a, SV *b);
41     static I32 amagic_ncmp(pTHX_ SV *a, SV *b);
42     static I32 amagic_i_ncmp(pTHX_ SV *a, SV *b);
43     static I32 amagic_cmp(pTHX_ SV *a, SV *b);
44     static I32 amagic_cmp_locale(pTHX_ SV *a, SV *b);
45    
46     #define sv_cmp_static Perl_sv_cmp
47     #define sv_cmp_locale_static Perl_sv_cmp_locale
48    
49     #define SORTHINTS(hintsv) \
50     (((hintsv) = GvSV(gv_fetchpv("sort::hints", GV_ADDMULTI, SVt_IV))), \
51     (SvIOK(hintsv) ? ((I32)SvIV(hintsv)) : 0))
52    
53     #ifndef SMALLSORT
54     #define SMALLSORT (200)
55     #endif
56    
57     /*
58     * The mergesort implementation is by Peter M. Mcilroy <pmcilroy@lucent.com>.
59     *
60     * The original code was written in conjunction with BSD Computer Software
61     * Research Group at University of California, Berkeley.
62     *
63     * See also: "Optimistic Merge Sort" (SODA '92)
64     *
65     * The integration to Perl is by John P. Linderman <jpl@research.att.com>.
66     *
67     * The code can be distributed under the same terms as Perl itself.
68     *
69     */
70    
71    
72     typedef char * aptr; /* pointer for arithmetic on sizes */
73     typedef SV * gptr; /* pointers in our lists */
74    
75     /* Binary merge internal sort, with a few special mods
76     ** for the special perl environment it now finds itself in.
77     **
78     ** Things that were once options have been hotwired
79     ** to values suitable for this use. In particular, we'll always
80     ** initialize looking for natural runs, we'll always produce stable
81     ** output, and we'll always do Peter McIlroy's binary merge.
82     */
83    
84     /* Pointer types for arithmetic and storage and convenience casts */
85    
86     #define APTR(P) ((aptr)(P))
87     #define GPTP(P) ((gptr *)(P))
88     #define GPPP(P) ((gptr **)(P))
89    
90    
91     /* byte offset from pointer P to (larger) pointer Q */
92     #define BYTEOFF(P, Q) (APTR(Q) - APTR(P))
93    
94     #define PSIZE sizeof(gptr)
95    
96     /* If PSIZE is power of 2, make PSHIFT that power, if that helps */
97    
98     #ifdef PSHIFT
99     #define PNELEM(P, Q) (BYTEOFF(P,Q) >> (PSHIFT))
100     #define PNBYTE(N) ((N) << (PSHIFT))
101     #define PINDEX(P, N) (GPTP(APTR(P) + PNBYTE(N)))
102     #else
103     /* Leave optimization to compiler */
104     #define PNELEM(P, Q) (GPTP(Q) - GPTP(P))
105     #define PNBYTE(N) ((N) * (PSIZE))
106     #define PINDEX(P, N) (GPTP(P) + (N))
107     #endif
108    
109     /* Pointer into other corresponding to pointer into this */
110     #define POTHER(P, THIS, OTHER) GPTP(APTR(OTHER) + BYTEOFF(THIS,P))
111    
112     #define FROMTOUPTO(src, dst, lim) do *dst++ = *src++; while(src<lim)
113    
114    
115     /* Runs are identified by a pointer in the auxilliary list.
116     ** The pointer is at the start of the list,
117     ** and it points to the start of the next list.
118     ** NEXT is used as an lvalue, too.
119     */
120    
121     #define NEXT(P) (*GPPP(P))
122    
123    
124     /* PTHRESH is the minimum number of pairs with the same sense to justify
125     ** checking for a run and extending it. Note that PTHRESH counts PAIRS,
126     ** not just elements, so PTHRESH == 8 means a run of 16.
127     */
128    
129     #define PTHRESH (8)
130    
131     /* RTHRESH is the number of elements in a run that must compare low
132     ** to the low element from the opposing run before we justify
133     ** doing a binary rampup instead of single stepping.
134     ** In random input, N in a row low should only happen with
135     ** probability 2^(1-N), so we can risk that we are dealing
136     ** with orderly input without paying much when we aren't.
137     */
138    
139     #define RTHRESH (6)
140    
141    
142     /*
143     ** Overview of algorithm and variables.
144     ** The array of elements at list1 will be organized into runs of length 2,
145     ** or runs of length >= 2 * PTHRESH. We only try to form long runs when
146     ** PTHRESH adjacent pairs compare in the same way, suggesting overall order.
147     **
148     ** Unless otherwise specified, pair pointers address the first of two elements.
149     **
150     ** b and b+1 are a pair that compare with sense ``sense''.
151     ** b is the ``bottom'' of adjacent pairs that might form a longer run.
152     **
153     ** p2 parallels b in the list2 array, where runs are defined by
154     ** a pointer chain.
155     **
156     ** t represents the ``top'' of the adjacent pairs that might extend
157     ** the run beginning at b. Usually, t addresses a pair
158     ** that compares with opposite sense from (b,b+1).
159     ** However, it may also address a singleton element at the end of list1,
160     ** or it may be equal to ``last'', the first element beyond list1.
161     **
162     ** r addresses the Nth pair following b. If this would be beyond t,
163     ** we back it off to t. Only when r is less than t do we consider the
164     ** run long enough to consider checking.
165     **
166     ** q addresses a pair such that the pairs at b through q already form a run.
167     ** Often, q will equal b, indicating we only are sure of the pair itself.
168     ** However, a search on the previous cycle may have revealed a longer run,
169     ** so q may be greater than b.
170     **
171     ** p is used to work back from a candidate r, trying to reach q,
172     ** which would mean b through r would be a run. If we discover such a run,
173     ** we start q at r and try to push it further towards t.
174     ** If b through r is NOT a run, we detect the wrong order at (p-1,p).
175     ** In any event, after the check (if any), we have two main cases.
176     **
177     ** 1) Short run. b <= q < p <= r <= t.
178     ** b through q is a run (perhaps trivial)
179     ** q through p are uninteresting pairs
180     ** p through r is a run
181     **
182     ** 2) Long run. b < r <= q < t.
183     ** b through q is a run (of length >= 2 * PTHRESH)
184     **
185     ** Note that degenerate cases are not only possible, but likely.
186     ** For example, if the pair following b compares with opposite sense,
187     ** then b == q < p == r == t.
188     */
189    
190    
191     static IV
192     dynprep(pTHX_ gptr *list1, gptr *list2, size_t nmemb, SVCOMPARE_t cmp)
193     {
194     I32 sense;
195     register gptr *b, *p, *q, *t, *p2;
196     register gptr c, *last, *r;
197     gptr *savep;
198     IV runs = 0;
199    
200     b = list1;
201     last = PINDEX(b, nmemb);
202     sense = (cmp(aTHX_ *b, *(b+1)) > 0);
203     for (p2 = list2; b < last; ) {
204     /* We just started, or just reversed sense.
205     ** Set t at end of pairs with the prevailing sense.
206     */
207     for (p = b+2, t = p; ++p < last; t = ++p) {
208     if ((cmp(aTHX_ *t, *p) > 0) != sense) break;
209     }
210     q = b;
211     /* Having laid out the playing field, look for long runs */
212     do {
213     p = r = b + (2 * PTHRESH);
214     if (r >= t) p = r = t; /* too short to care about */
215     else {
216     while (((cmp(aTHX_ *(p-1), *p) > 0) == sense) &&
217     ((p -= 2) > q));
218     if (p <= q) {
219     /* b through r is a (long) run.
220     ** Extend it as far as possible.
221     */
222     p = q = r;
223     while (((p += 2) < t) &&
224     ((cmp(aTHX_ *(p-1), *p) > 0) == sense)) q = p;
225     r = p = q + 2; /* no simple pairs, no after-run */
226     }
227     }
228     if (q > b) { /* run of greater than 2 at b */
229     savep = p;
230     p = q += 2;
231     /* pick up singleton, if possible */
232     if ((p == t) &&
233     ((t + 1) == last) &&
234     ((cmp(aTHX_ *(p-1), *p) > 0) == sense))
235     savep = r = p = q = last;
236     p2 = NEXT(p2) = p2 + (p - b); ++runs;
237     if (sense) while (b < --p) {
238     c = *b;
239     *b++ = *p;
240     *p = c;
241     }
242     p = savep;
243     }
244     while (q < p) { /* simple pairs */
245     p2 = NEXT(p2) = p2 + 2; ++runs;
246     if (sense) {
247     c = *q++;
248     *(q-1) = *q;
249     *q++ = c;
250     } else q += 2;
251     }
252     if (((b = p) == t) && ((t+1) == last)) {
253     NEXT(p2) = p2 + 1; ++runs;
254     b++;
255     }
256     q = r;
257     } while (b < t);
258     sense = !sense;
259     }
260     return runs;
261     }
262    
263    
264     /* The original merge sort, in use since 5.7, was as fast as, or faster than,
265     * qsort on many platforms, but slower than qsort, conspicuously so,
266     * on others. The most likely explanation was platform-specific
267     * differences in cache sizes and relative speeds.
268     *
269     * The quicksort divide-and-conquer algorithm guarantees that, as the
270     * problem is subdivided into smaller and smaller parts, the parts
271     * fit into smaller (and faster) caches. So it doesn't matter how
272     * many levels of cache exist, quicksort will "find" them, and,
273     * as long as smaller is faster, take advanatge of them.
274     *
275     * By contrast, consider how the original mergesort algorithm worked.
276     * Suppose we have five runs (each typically of length 2 after dynprep).
277     *
278     * pass base aux
279     * 0 1 2 3 4 5
280     * 1 12 34 5
281     * 2 1234 5
282     * 3 12345
283     * 4 12345
284     *
285     * Adjacent pairs are merged in "grand sweeps" through the input.
286     * This means, on pass 1, the records in runs 1 and 2 aren't revisited until
287     * runs 3 and 4 are merged and the runs from run 5 have been copied.
288     * The only cache that matters is one large enough to hold *all* the input.
289     * On some platforms, this may be many times slower than smaller caches.
290     *
291     * The following pseudo-code uses the same basic merge algorithm,
292     * but in a divide-and-conquer way.
293     *
294     * # merge $runs runs at offset $offset of list $list1 into $list2.
295     * # all unmerged runs ($runs == 1) originate in list $base.
296     * sub mgsort2 {
297     * my ($offset, $runs, $base, $list1, $list2) = @_;
298     *
299     * if ($runs == 1) {
300     * if ($list1 is $base) copy run to $list2
301     * return offset of end of list (or copy)
302     * } else {
303     * $off2 = mgsort2($offset, $runs-($runs/2), $base, $list2, $list1)
304     * mgsort2($off2, $runs/2, $base, $list2, $list1)
305     * merge the adjacent runs at $offset of $list1 into $list2
306     * return the offset of the end of the merged runs
307     * }
308     * }
309     * mgsort2(0, $runs, $base, $aux, $base);
310     *
311     * For our 5 runs, the tree of calls looks like
312     *
313     * 5
314     * 3 2
315     * 2 1 1 1
316     * 1 1
317     *
318     * 1 2 3 4 5
319     *
320     * and the corresponding activity looks like
321     *
322     * copy runs 1 and 2 from base to aux
323     * merge runs 1 and 2 from aux to base
324     * (run 3 is where it belongs, no copy needed)
325     * merge runs 12 and 3 from base to aux
326     * (runs 4 and 5 are where they belong, no copy needed)
327     * merge runs 4 and 5 from base to aux
328     * merge runs 123 and 45 from aux to base
329     *
330     * Note that we merge runs 1 and 2 immediately after copying them,
331     * while they are still likely to be in fast cache. Similarly,
332     * run 3 is merged with run 12 while it still may be lingering in cache.
333     * This implementation should therefore enjoy much of the cache-friendly
334     * behavior that quicksort does. In addition, it does less copying
335     * than the original mergesort implementation (only runs 1 and 2 are copied)
336     * and the "balancing" of merges is better (merged runs comprise more nearly
337     * equal numbers of original runs).
338     *
339     * The actual cache-friendly implementation will use a pseudo-stack
340     * to avoid recursion, and will unroll processing of runs of length 2,
341     * but it is otherwise similar to the recursive implementation.
342     */
343    
344     typedef struct {
345     IV offset; /* offset of 1st of 2 runs at this level */
346     IV runs; /* how many runs must be combined into 1 */
347     } off_runs; /* pseudo-stack element */
348    
349    
350     static I32
351     cmp_desc(pTHX_ gptr a, gptr b)
352     {
353     return -PL_sort_RealCmp(aTHX_ a, b);
354     }
355    
356     STATIC void
357     S_mergesortsv(pTHX_ gptr *base, size_t nmemb, SVCOMPARE_t cmp, U32 flags)
358     {
359     IV i, run, runs, offset;
360     I32 sense, level;
361     int iwhich;
362     register gptr *f1, *f2, *t, *b, *p, *tp2, *l1, *l2, *q;
363     gptr *aux, *list1, *list2;
364     gptr *p1;
365     gptr small[SMALLSORT];
366     gptr *which[3];
367     off_runs stack[60], *stackp;
368     SVCOMPARE_t savecmp = 0;
369    
370     if (nmemb <= 1) return; /* sorted trivially */
371    
372     if (flags) {
373     savecmp = PL_sort_RealCmp; /* Save current comparison routine, if any */
374     PL_sort_RealCmp = cmp; /* Put comparison routine where cmp_desc can find it */
375     cmp = cmp_desc;
376     }
377    
378     if (nmemb <= SMALLSORT) aux = small; /* use stack for aux array */
379     else { New(799,aux,nmemb,gptr); } /* allocate auxilliary array */
380     level = 0;
381     stackp = stack;
382     stackp->runs = dynprep(aTHX_ base, aux, nmemb, cmp);
383     stackp->offset = offset = 0;
384     which[0] = which[2] = base;
385     which[1] = aux;
386     for (;;) {
387     /* On levels where both runs have be constructed (stackp->runs == 0),
388     * merge them, and note the offset of their end, in case the offset
389     * is needed at the next level up. Hop up a level, and,
390     * as long as stackp->runs is 0, keep merging.
391     */
392     if ((runs = stackp->runs) == 0) {
393     iwhich = level & 1;
394     list1 = which[iwhich]; /* area where runs are now */
395     list2 = which[++iwhich]; /* area for merged runs */
396     do {
397     offset = stackp->offset;
398     f1 = p1 = list1 + offset; /* start of first run */
399     p = tp2 = list2 + offset; /* where merged run will go */
400     t = NEXT(p); /* where first run ends */
401     f2 = l1 = POTHER(t, list2, list1); /* ... on the other side */
402     t = NEXT(t); /* where second runs ends */
403     l2 = POTHER(t, list2, list1); /* ... on the other side */
404     offset = PNELEM(list2, t);
405     while (f1 < l1 && f2 < l2) {
406     /* If head 1 is larger than head 2, find ALL the elements
407     ** in list 2 strictly less than head1, write them all,
408     ** then head 1. Then compare the new heads, and repeat,
409     ** until one or both lists are exhausted.
410     **
411     ** In all comparisons (after establishing
412     ** which head to merge) the item to merge
413     ** (at pointer q) is the first operand of
414     ** the comparison. When we want to know
415     ** if ``q is strictly less than the other'',
416     ** we can't just do
417     ** cmp(q, other) < 0
418     ** because stability demands that we treat equality
419     ** as high when q comes from l2, and as low when
420     ** q was from l1. So we ask the question by doing
421     ** cmp(q, other) <= sense
422     ** and make sense == 0 when equality should look low,
423     ** and -1 when equality should look high.
424     */
425    
426    
427     if (cmp(aTHX_ *f1, *f2) <= 0) {
428     q = f2; b = f1; t = l1;
429     sense = -1;
430     } else {
431     q = f1; b = f2; t = l2;
432     sense = 0;
433     }
434    
435    
436     /* ramp up
437     **
438     ** Leave t at something strictly
439     ** greater than q (or at the end of the list),
440     ** and b at something strictly less than q.
441     */
442     for (i = 1, run = 0 ;;) {
443     if ((p = PINDEX(b, i)) >= t) {
444     /* off the end */
445     if (((p = PINDEX(t, -1)) > b) &&
446     (cmp(aTHX_ *q, *p) <= sense))
447     t = p;
448     else b = p;
449     break;
450     } else if (cmp(aTHX_ *q, *p) <= sense) {
451     t = p;
452     break;
453     } else b = p;
454     if (++run >= RTHRESH) i += i;
455     }
456    
457    
458     /* q is known to follow b and must be inserted before t.
459     ** Increment b, so the range of possibilities is [b,t).
460     ** Round binary split down, to favor early appearance.
461     ** Adjust b and t until q belongs just before t.
462     */
463    
464     b++;
465     while (b < t) {
466     p = PINDEX(b, (PNELEM(b, t) - 1) / 2);
467     if (cmp(aTHX_ *q, *p) <= sense) {
468     t = p;
469     } else b = p + 1;
470     }
471    
472    
473     /* Copy all the strictly low elements */
474    
475     if (q == f1) {
476     FROMTOUPTO(f2, tp2, t);
477     *tp2++ = *f1++;
478     } else {
479     FROMTOUPTO(f1, tp2, t);
480     *tp2++ = *f2++;
481     }
482     }
483    
484    
485     /* Run out remaining list */
486     if (f1 == l1) {
487     if (f2 < l2) FROMTOUPTO(f2, tp2, l2);
488     } else FROMTOUPTO(f1, tp2, l1);
489     p1 = NEXT(p1) = POTHER(tp2, list2, list1);
490    
491     if (--level == 0) goto done;
492     --stackp;
493     t = list1; list1 = list2; list2 = t; /* swap lists */
494     } while ((runs = stackp->runs) == 0);
495     }
496    
497    
498     stackp->runs = 0; /* current run will finish level */
499     /* While there are more than 2 runs remaining,
500     * turn them into exactly 2 runs (at the "other" level),
501     * each made up of approximately half the runs.
502     * Stack the second half for later processing,
503     * and set about producing the first half now.
504     */
505     while (runs > 2) {
506     ++level;
507     ++stackp;
508     stackp->offset = offset;
509     runs -= stackp->runs = runs / 2;
510     }
511     /* We must construct a single run from 1 or 2 runs.
512     * All the original runs are in which[0] == base.
513     * The run we construct must end up in which[level&1].
514     */
515     iwhich = level & 1;
516     if (runs == 1) {
517     /* Constructing a single run from a single run.
518     * If it's where it belongs already, there's nothing to do.
519     * Otherwise, copy it to where it belongs.
520     * A run of 1 is either a singleton at level 0,
521     * or the second half of a split 3. In neither event
522     * is it necessary to set offset. It will be set by the merge
523     * that immediately follows.
524     */
525     if (iwhich) { /* Belongs in aux, currently in base */
526     f1 = b = PINDEX(base, offset); /* where list starts */
527     f2 = PINDEX(aux, offset); /* where list goes */
528     t = NEXT(f2); /* where list will end */
529     offset = PNELEM(aux, t); /* offset thereof */
530     t = PINDEX(base, offset); /* where it currently ends */
531     FROMTOUPTO(f1, f2, t); /* copy */
532     NEXT(b) = t; /* set up parallel pointer */
533     } else if (level == 0) goto done; /* single run at level 0 */
534     } else {
535     /* Constructing a single run from two runs.
536     * The merge code at the top will do that.
537     * We need only make sure the two runs are in the "other" array,
538     * so they'll end up in the correct array after the merge.
539     */
540     ++level;
541     ++stackp;
542     stackp->offset = offset;
543     stackp->runs = 0; /* take care of both runs, trigger merge */
544     if (!iwhich) { /* Merged runs belong in aux, copy 1st */
545     f1 = b = PINDEX(base, offset); /* where first run starts */
546     f2 = PINDEX(aux, offset); /* where it will be copied */
547     t = NEXT(f2); /* where first run will end */
548     offset = PNELEM(aux, t); /* offset thereof */
549     p = PINDEX(base, offset); /* end of first run */
550     t = NEXT(t); /* where second run will end */
551     t = PINDEX(base, PNELEM(aux, t)); /* where it now ends */
552     FROMTOUPTO(f1, f2, t); /* copy both runs */
553     NEXT(b) = p; /* paralled pointer for 1st */
554     NEXT(p) = t; /* ... and for second */
555     }
556     }
557     }
558     done:
559     if (aux != small) Safefree(aux); /* free iff allocated */
560     if (flags) {
561     PL_sort_RealCmp = savecmp; /* Restore current comparison routine, if any */
562     }
563     return;
564     }
565    
566     /*
567     * The quicksort implementation was derived from source code contributed
568     * by Tom Horsley.
569     *
570     * NOTE: this code was derived from Tom Horsley's qsort replacement
571     * and should not be confused with the original code.
572     */
573    
574     /* Copyright (C) Tom Horsley, 1997. All rights reserved.
575    
576     Permission granted to distribute under the same terms as perl which are
577     (briefly):
578    
579     This program is free software; you can redistribute it and/or modify
580     it under the terms of either:
581    
582     a) the GNU General Public License as published by the Free
583     Software Foundation; either version 1, or (at your option) any
584     later version, or
585    
586     b) the "Artistic License" which comes with this Kit.
587    
588     Details on the perl license can be found in the perl source code which
589     may be located via the www.perl.com web page.
590    
591     This is the most wonderfulest possible qsort I can come up with (and
592     still be mostly portable) My (limited) tests indicate it consistently
593     does about 20% fewer calls to compare than does the qsort in the Visual
594     C++ library, other vendors may vary.
595    
596     Some of the ideas in here can be found in "Algorithms" by Sedgewick,
597     others I invented myself (or more likely re-invented since they seemed
598     pretty obvious once I watched the algorithm operate for a while).
599    
600     Most of this code was written while watching the Marlins sweep the Giants
601     in the 1997 National League Playoffs - no Braves fans allowed to use this
602     code (just kidding :-).
603    
604     I realize that if I wanted to be true to the perl tradition, the only
605     comment in this file would be something like:
606    
607     ...they shuffled back towards the rear of the line. 'No, not at the
608     rear!' the slave-driver shouted. 'Three files up. And stay there...
609    
610     However, I really needed to violate that tradition just so I could keep
611     track of what happens myself, not to mention some poor fool trying to
612     understand this years from now :-).
613     */
614    
615     /* ********************************************************** Configuration */
616    
617     #ifndef QSORT_ORDER_GUESS
618     #define QSORT_ORDER_GUESS 2 /* Select doubling version of the netBSD trick */
619     #endif
620    
621     /* QSORT_MAX_STACK is the largest number of partitions that can be stacked up for
622     future processing - a good max upper bound is log base 2 of memory size
623     (32 on 32 bit machines, 64 on 64 bit machines, etc). In reality can
624     safely be smaller than that since the program is taking up some space and
625     most operating systems only let you grab some subset of contiguous
626     memory (not to mention that you are normally sorting data larger than
627     1 byte element size :-).
628     */
629     #ifndef QSORT_MAX_STACK
630     #define QSORT_MAX_STACK 32
631     #endif
632    
633     /* QSORT_BREAK_EVEN is the size of the largest partition we should insertion sort.
634     Anything bigger and we use qsort. If you make this too small, the qsort
635     will probably break (or become less efficient), because it doesn't expect
636     the middle element of a partition to be the same as the right or left -
637     you have been warned).
638     */
639     #ifndef QSORT_BREAK_EVEN
640     #define QSORT_BREAK_EVEN 6
641     #endif
642    
643     /* QSORT_PLAY_SAFE is the size of the largest partition we're willing
644     to go quadratic on. We innoculate larger partitions against
645     quadratic behavior by shuffling them before sorting. This is not
646     an absolute guarantee of non-quadratic behavior, but it would take
647     staggeringly bad luck to pick extreme elements as the pivot
648     from randomized data.
649     */
650     #ifndef QSORT_PLAY_SAFE
651     #define QSORT_PLAY_SAFE 255
652     #endif
653    
654     /* ************************************************************* Data Types */
655    
656     /* hold left and right index values of a partition waiting to be sorted (the
657     partition includes both left and right - right is NOT one past the end or
658     anything like that).
659     */
660     struct partition_stack_entry {
661     int left;
662     int right;
663     #ifdef QSORT_ORDER_GUESS
664     int qsort_break_even;
665     #endif
666     };
667    
668     /* ******************************************************* Shorthand Macros */
669    
670     /* Note that these macros will be used from inside the qsort function where
671     we happen to know that the variable 'elt_size' contains the size of an
672     array element and the variable 'temp' points to enough space to hold a
673     temp element and the variable 'array' points to the array being sorted
674     and 'compare' is the pointer to the compare routine.
675    
676     Also note that there are very many highly architecture specific ways
677     these might be sped up, but this is simply the most generally portable
678     code I could think of.
679     */
680    
681     /* Return < 0 == 0 or > 0 as the value of elt1 is < elt2, == elt2, > elt2
682     */
683     #define qsort_cmp(elt1, elt2) \
684     ((*compare)(aTHX_ array[elt1], array[elt2]))
685    
686     #ifdef QSORT_ORDER_GUESS
687     #define QSORT_NOTICE_SWAP swapped++;
688     #else
689     #define QSORT_NOTICE_SWAP
690     #endif
691    
692     /* swaps contents of array elements elt1, elt2.
693     */
694     #define qsort_swap(elt1, elt2) \
695     STMT_START { \
696     QSORT_NOTICE_SWAP \
697     temp = array[elt1]; \
698     array[elt1] = array[elt2]; \
699     array[elt2] = temp; \
700     } STMT_END
701    
702     /* rotate contents of elt1, elt2, elt3 such that elt1 gets elt2, elt2 gets
703     elt3 and elt3 gets elt1.
704     */
705     #define qsort_rotate(elt1, elt2, elt3) \
706     STMT_START { \
707     QSORT_NOTICE_SWAP \
708     temp = array[elt1]; \
709     array[elt1] = array[elt2]; \
710     array[elt2] = array[elt3]; \
711     array[elt3] = temp; \
712     } STMT_END
713    
714     /* ************************************************************ Debug stuff */
715    
716     #ifdef QSORT_DEBUG
717    
718     static void
719     break_here()
720     {
721     return; /* good place to set a breakpoint */
722     }
723    
724     #define qsort_assert(t) (void)( (t) || (break_here(), 0) )
725    
726     static void
727     doqsort_all_asserts(
728     void * array,
729     size_t num_elts,
730     size_t elt_size,
731     int (*compare)(const void * elt1, const void * elt2),
732     int pc_left, int pc_right, int u_left, int u_right)
733     {
734     int i;
735    
736     qsort_assert(pc_left <= pc_right);
737     qsort_assert(u_right < pc_left);
738     qsort_assert(pc_right < u_left);
739     for (i = u_right + 1; i < pc_left; ++i) {
740     qsort_assert(qsort_cmp(i, pc_left) < 0);
741     }
742     for (i = pc_left; i < pc_right; ++i) {
743     qsort_assert(qsort_cmp(i, pc_right) == 0);
744     }
745     for (i = pc_right + 1; i < u_left; ++i) {
746     qsort_assert(qsort_cmp(pc_right, i) < 0);
747     }
748     }
749    
750     #define qsort_all_asserts(PC_LEFT, PC_RIGHT, U_LEFT, U_RIGHT) \
751     doqsort_all_asserts(array, num_elts, elt_size, compare, \
752     PC_LEFT, PC_RIGHT, U_LEFT, U_RIGHT)
753    
754     #else
755    
756     #define qsort_assert(t) ((void)0)
757    
758     #define qsort_all_asserts(PC_LEFT, PC_RIGHT, U_LEFT, U_RIGHT) ((void)0)
759    
760     #endif
761    
762     /* ****************************************************************** qsort */
763    
764     STATIC void /* the standard unstable (u) quicksort (qsort) */
765     S_qsortsvu(pTHX_ SV ** array, size_t num_elts, SVCOMPARE_t compare)
766     {
767     register SV * temp;
768    
769     struct partition_stack_entry partition_stack[QSORT_MAX_STACK];
770     int next_stack_entry = 0;
771    
772     int part_left;
773     int part_right;
774     #ifdef QSORT_ORDER_GUESS
775     int qsort_break_even;
776     int swapped;
777     #endif
778    
779     /* Make sure we actually have work to do.
780     */
781     if (num_elts <= 1) {
782     return;
783     }
784    
785     /* Innoculate large partitions against quadratic behavior */
786     if (num_elts > QSORT_PLAY_SAFE) {
787     register size_t n, j;
788     register SV **q;
789     for (n = num_elts, q = array; n > 1; ) {
790     j = (size_t)(n-- * Drand01());
791     temp = q[j];
792     q[j] = q[n];
793     q[n] = temp;
794     }
795     }
796    
797     /* Setup the initial partition definition and fall into the sorting loop
798     */
799     part_left = 0;
800     part_right = (int)(num_elts - 1);
801     #ifdef QSORT_ORDER_GUESS
802     qsort_break_even = QSORT_BREAK_EVEN;
803     #else
804     #define qsort_break_even QSORT_BREAK_EVEN
805     #endif
806     for ( ; ; ) {
807     if ((part_right - part_left) >= qsort_break_even) {
808     /* OK, this is gonna get hairy, so lets try to document all the
809     concepts and abbreviations and variables and what they keep
810     track of:
811    
812     pc: pivot chunk - the set of array elements we accumulate in the
813     middle of the partition, all equal in value to the original
814     pivot element selected. The pc is defined by:
815    
816     pc_left - the leftmost array index of the pc
817     pc_right - the rightmost array index of the pc
818    
819     we start with pc_left == pc_right and only one element
820     in the pivot chunk (but it can grow during the scan).
821    
822     u: uncompared elements - the set of elements in the partition
823     we have not yet compared to the pivot value. There are two
824     uncompared sets during the scan - one to the left of the pc
825     and one to the right.
826    
827     u_right - the rightmost index of the left side's uncompared set
828     u_left - the leftmost index of the right side's uncompared set
829    
830     The leftmost index of the left sides's uncompared set
831     doesn't need its own variable because it is always defined
832     by the leftmost edge of the whole partition (part_left). The
833     same goes for the rightmost edge of the right partition
834     (part_right).
835    
836     We know there are no uncompared elements on the left once we
837     get u_right < part_left and no uncompared elements on the
838     right once u_left > part_right. When both these conditions
839     are met, we have completed the scan of the partition.
840    
841     Any elements which are between the pivot chunk and the
842     uncompared elements should be less than the pivot value on
843     the left side and greater than the pivot value on the right
844     side (in fact, the goal of the whole algorithm is to arrange
845     for that to be true and make the groups of less-than and
846     greater-then elements into new partitions to sort again).
847    
848     As you marvel at the complexity of the code and wonder why it
849     has to be so confusing. Consider some of the things this level
850     of confusion brings:
851    
852     Once I do a compare, I squeeze every ounce of juice out of it. I
853     never do compare calls I don't have to do, and I certainly never
854     do redundant calls.
855    
856     I also never swap any elements unless I can prove there is a
857     good reason. Many sort algorithms will swap a known value with
858     an uncompared value just to get things in the right place (or
859     avoid complexity :-), but that uncompared value, once it gets
860     compared, may then have to be swapped again. A lot of the
861     complexity of this code is due to the fact that it never swaps
862     anything except compared values, and it only swaps them when the
863     compare shows they are out of position.
864     */
865     int pc_left, pc_right;
866     int u_right, u_left;
867    
868     int s;
869    
870     pc_left = ((part_left + part_right) / 2);
871     pc_right = pc_left;
872     u_right = pc_left - 1;
873     u_left = pc_right + 1;
874    
875     /* Qsort works best when the pivot value is also the median value
876     in the partition (unfortunately you can't find the median value
877     without first sorting :-), so to give the algorithm a helping
878     hand, we pick 3 elements and sort them and use the median value
879     of that tiny set as the pivot value.
880    
881     Some versions of qsort like to use the left middle and right as
882     the 3 elements to sort so they can insure the ends of the
883     partition will contain values which will stop the scan in the
884     compare loop, but when you have to call an arbitrarily complex
885     routine to do a compare, its really better to just keep track of
886     array index values to know when you hit the edge of the
887     partition and avoid the extra compare. An even better reason to
888     avoid using a compare call is the fact that you can drop off the
889     edge of the array if someone foolishly provides you with an
890     unstable compare function that doesn't always provide consistent
891     results.
892    
893     So, since it is simpler for us to compare the three adjacent
894     elements in the middle of the partition, those are the ones we
895     pick here (conveniently pointed at by u_right, pc_left, and
896     u_left). The values of the left, center, and right elements
897     are refered to as l c and r in the following comments.
898     */
899    
900     #ifdef QSORT_ORDER_GUESS
901     swapped = 0;
902     #endif
903     s = qsort_cmp(u_right, pc_left);
904     if (s < 0) {
905     /* l < c */
906     s = qsort_cmp(pc_left, u_left);
907     /* if l < c, c < r - already in order - nothing to do */
908     if (s == 0) {
909     /* l < c, c == r - already in order, pc grows */
910     ++pc_right;
911     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
912     } else if (s > 0) {
913     /* l < c, c > r - need to know more */
914     s = qsort_cmp(u_right, u_left);
915     if (s < 0) {
916     /* l < c, c > r, l < r - swap c & r to get ordered */
917     qsort_swap(pc_left, u_left);
918     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
919     } else if (s == 0) {
920     /* l < c, c > r, l == r - swap c&r, grow pc */
921     qsort_swap(pc_left, u_left);
922     --pc_left;
923     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
924     } else {
925     /* l < c, c > r, l > r - make lcr into rlc to get ordered */
926     qsort_rotate(pc_left, u_right, u_left);
927     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
928     }
929     }
930     } else if (s == 0) {
931     /* l == c */
932     s = qsort_cmp(pc_left, u_left);
933     if (s < 0) {
934     /* l == c, c < r - already in order, grow pc */
935     --pc_left;
936     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
937     } else if (s == 0) {
938     /* l == c, c == r - already in order, grow pc both ways */
939     --pc_left;
940     ++pc_right;
941     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
942     } else {
943     /* l == c, c > r - swap l & r, grow pc */
944     qsort_swap(u_right, u_left);
945     ++pc_right;
946     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
947     }
948     } else {
949     /* l > c */
950     s = qsort_cmp(pc_left, u_left);
951     if (s < 0) {
952     /* l > c, c < r - need to know more */
953     s = qsort_cmp(u_right, u_left);
954     if (s < 0) {
955     /* l > c, c < r, l < r - swap l & c to get ordered */
956     qsort_swap(u_right, pc_left);
957     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
958     } else if (s == 0) {
959     /* l > c, c < r, l == r - swap l & c, grow pc */
960     qsort_swap(u_right, pc_left);
961     ++pc_right;
962     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
963     } else {
964     /* l > c, c < r, l > r - rotate lcr into crl to order */
965     qsort_rotate(u_right, pc_left, u_left);
966     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
967     }
968     } else if (s == 0) {
969     /* l > c, c == r - swap ends, grow pc */
970     qsort_swap(u_right, u_left);
971     --pc_left;
972     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
973     } else {
974     /* l > c, c > r - swap ends to get in order */
975     qsort_swap(u_right, u_left);
976     qsort_all_asserts(pc_left, pc_right, u_left + 1, u_right - 1);
977     }
978     }
979     /* We now know the 3 middle elements have been compared and
980     arranged in the desired order, so we can shrink the uncompared
981     sets on both sides
982     */
983     --u_right;
984     ++u_left;
985     qsort_all_asserts(pc_left, pc_right, u_left, u_right);
986    
987     /* The above massive nested if was the simple part :-). We now have
988     the middle 3 elements ordered and we need to scan through the
989     uncompared sets on either side, swapping elements that are on
990     the wrong side or simply shuffling equal elements around to get
991     all equal elements into the pivot chunk.
992     */
993    
994     for ( ; ; ) {
995     int still_work_on_left;
996     int still_work_on_right;
997    
998     /* Scan the uncompared values on the left. If I find a value
999     equal to the pivot value, move it over so it is adjacent to
1000     the pivot chunk and expand the pivot chunk. If I find a value
1001     less than the pivot value, then just leave it - its already
1002     on the correct side of the partition. If I find a greater
1003     value, then stop the scan.
1004     */
1005     while ((still_work_on_left = (u_right >= part_left))) {
1006     s = qsort_cmp(u_right, pc_left);
1007     if (s < 0) {
1008     --u_right;
1009     } else if (s == 0) {
1010     --pc_left;
1011     if (pc_left != u_right) {
1012     qsort_swap(u_right, pc_left);
1013     }
1014     --u_right;
1015     } else {
1016     break;
1017     }
1018     qsort_assert(u_right < pc_left);
1019     qsort_assert(pc_left <= pc_right);
1020     qsort_assert(qsort_cmp(u_right + 1, pc_left) <= 0);
1021     qsort_assert(qsort_cmp(pc_left, pc_right) == 0);
1022     }
1023    
1024     /* Do a mirror image scan of uncompared values on the right
1025     */
1026     while ((still_work_on_right = (u_left <= part_right))) {
1027     s = qsort_cmp(pc_right, u_left);
1028     if (s < 0) {
1029     ++u_left;
1030     } else if (s == 0) {
1031     ++pc_right;
1032     if (pc_right != u_left) {
1033     qsort_swap(pc_right, u_left);
1034     }
1035     ++u_left;
1036     } else {
1037     break;
1038     }
1039     qsort_assert(u_left > pc_right);
1040     qsort_assert(pc_left <= pc_right);
1041     qsort_assert(qsort_cmp(pc_right, u_left - 1) <= 0);
1042     qsort_assert(qsort_cmp(pc_left, pc_right) == 0);
1043     }
1044    
1045     if (still_work_on_left) {
1046     /* I know I have a value on the left side which needs to be
1047     on the right side, but I need to know more to decide
1048     exactly the best thing to do with it.
1049     */
1050     if (still_work_on_right) {
1051     /* I know I have values on both side which are out of
1052     position. This is a big win because I kill two birds
1053     with one swap (so to speak). I can advance the
1054     uncompared pointers on both sides after swapping both
1055     of them into the right place.
1056     */
1057     qsort_swap(u_right, u_left);
1058     --u_right;
1059     ++u_left;
1060     qsort_all_asserts(pc_left, pc_right, u_left, u_right);
1061     } else {
1062     /* I have an out of position value on the left, but the
1063     right is fully scanned, so I "slide" the pivot chunk
1064     and any less-than values left one to make room for the
1065     greater value over on the right. If the out of position
1066     value is immediately adjacent to the pivot chunk (there
1067     are no less-than values), I can do that with a swap,
1068     otherwise, I have to rotate one of the less than values
1069     into the former position of the out of position value
1070     and the right end of the pivot chunk into the left end
1071     (got all that?).
1072     */
1073     --pc_left;
1074     if (pc_left == u_right) {
1075     qsort_swap(u_right, pc_right);
1076     qsort_all_asserts(pc_left, pc_right-1, u_left, u_right-1);
1077     } else {
1078     qsort_rotate(u_right, pc_left, pc_right);
1079     qsort_all_asserts(pc_left, pc_right-1, u_left, u_right-1);
1080     }
1081     --pc_right;
1082     --u_right;
1083     }
1084     } else if (still_work_on_right) {
1085     /* Mirror image of complex case above: I have an out of
1086     position value on the right, but the left is fully
1087     scanned, so I need to shuffle things around to make room
1088     for the right value on the left.
1089     */
1090     ++pc_right;
1091     if (pc_right == u_left) {
1092     qsort_swap(u_left, pc_left);
1093     qsort_all_asserts(pc_left+1, pc_right, u_left+1, u_right);
1094     } else {
1095     qsort_rotate(pc_right, pc_left, u_left);
1096     qsort_all_asserts(pc_left+1, pc_right, u_left+1, u_right);
1097     }
1098     ++pc_left;
1099     ++u_left;
1100     } else {
1101     /* No more scanning required on either side of partition,
1102     break out of loop and figure out next set of partitions
1103     */
1104     break;
1105     }
1106     }
1107    
1108     /* The elements in the pivot chunk are now in the right place. They
1109     will never move or be compared again. All I have to do is decide
1110     what to do with the stuff to the left and right of the pivot
1111     chunk.
1112    
1113     Notes on the QSORT_ORDER_GUESS ifdef code:
1114    
1115     1. If I just built these partitions without swapping any (or
1116     very many) elements, there is a chance that the elements are
1117     already ordered properly (being properly ordered will
1118     certainly result in no swapping, but the converse can't be
1119     proved :-).
1120    
1121     2. A (properly written) insertion sort will run faster on
1122     already ordered data than qsort will.
1123    
1124     3. Perhaps there is some way to make a good guess about
1125     switching to an insertion sort earlier than partition size 6
1126     (for instance - we could save the partition size on the stack
1127     and increase the size each time we find we didn't swap, thus
1128     switching to insertion sort earlier for partitions with a
1129     history of not swapping).
1130    
1131     4. Naturally, if I just switch right away, it will make
1132     artificial benchmarks with pure ascending (or descending)
1133     data look really good, but is that a good reason in general?
1134     Hard to say...
1135     */
1136    
1137     #ifdef QSORT_ORDER_GUESS
1138     if (swapped < 3) {
1139     #if QSORT_ORDER_GUESS == 1
1140     qsort_break_even = (part_right - part_left) + 1;
1141     #endif
1142     #if QSORT_ORDER_GUESS == 2
1143     qsort_break_even *= 2;
1144     #endif
1145     #if QSORT_ORDER_GUESS == 3
1146     int prev_break = qsort_break_even;
1147     qsort_break_even *= qsort_break_even;
1148     if (qsort_break_even < prev_break) {
1149     qsort_break_even = (part_right - part_left) + 1;
1150     }
1151     #endif
1152     } else {
1153     qsort_break_even = QSORT_BREAK_EVEN;
1154     }
1155     #endif
1156    
1157     if (part_left < pc_left) {
1158     /* There are elements on the left which need more processing.
1159     Check the right as well before deciding what to do.
1160     */
1161     if (pc_right < part_right) {
1162     /* We have two partitions to be sorted. Stack the biggest one
1163     and process the smallest one on the next iteration. This
1164     minimizes the stack height by insuring that any additional
1165     stack entries must come from the smallest partition which
1166     (because it is smallest) will have the fewest
1167     opportunities to generate additional stack entries.
1168     */
1169     if ((part_right - pc_right) > (pc_left - part_left)) {
1170     /* stack the right partition, process the left */
1171     partition_stack[next_stack_entry].left = pc_right + 1;
1172     partition_stack[next_stack_entry].right = part_right;
1173     #ifdef QSORT_ORDER_GUESS
1174     partition_stack[next_stack_entry].qsort_break_even = qsort_break_even;
1175     #endif
1176     part_right = pc_left - 1;
1177     } else {
1178     /* stack the left partition, process the right */
1179     partition_stack[next_stack_entry].left = part_left;
1180     partition_stack[next_stack_entry].right = pc_left - 1;
1181     #ifdef QSORT_ORDER_GUESS
1182     partition_stack[next_stack_entry].qsort_break_even = qsort_break_even;
1183     #endif
1184     part_left = pc_right + 1;
1185     }
1186     qsort_assert(next_stack_entry < QSORT_MAX_STACK);
1187     ++next_stack_entry;
1188     } else {
1189     /* The elements on the left are the only remaining elements
1190     that need sorting, arrange for them to be processed as the
1191     next partition.
1192     */
1193     part_right = pc_left - 1;
1194     }
1195     } else if (pc_right < part_right) {
1196     /* There is only one chunk on the right to be sorted, make it
1197     the new partition and loop back around.
1198     */
1199     part_left = pc_right + 1;
1200     } else {
1201     /* This whole partition wound up in the pivot chunk, so
1202     we need to get a new partition off the stack.
1203     */
1204     if (next_stack_entry == 0) {
1205     /* the stack is empty - we are done */
1206     break;
1207     }
1208     --next_stack_entry;
1209     part_left = partition_stack[next_stack_entry].left;
1210     part_right = partition_stack[next_stack_entry].right;
1211     #ifdef QSORT_ORDER_GUESS
1212     qsort_break_even = partition_stack[next_stack_entry].qsort_break_even;
1213     #endif
1214     }
1215     } else {
1216     /* This partition is too small to fool with qsort complexity, just
1217     do an ordinary insertion sort to minimize overhead.
1218     */
1219     int i;
1220     /* Assume 1st element is in right place already, and start checking
1221     at 2nd element to see where it should be inserted.
1222     */
1223     for (i = part_left + 1; i <= part_right; ++i) {
1224     int j;
1225     /* Scan (backwards - just in case 'i' is already in right place)
1226     through the elements already sorted to see if the ith element
1227     belongs ahead of one of them.
1228     */
1229     for (j = i - 1; j >= part_left; --j) {
1230     if (qsort_cmp(i, j) >= 0) {
1231     /* i belongs right after j
1232     */
1233     break;
1234     }
1235     }
1236     ++j;
1237     if (j != i) {
1238     /* Looks like we really need to move some things
1239     */
1240     int k;
1241     temp = array[i];
1242     for (k = i - 1; k >= j; --k)
1243     array[k + 1] = array[k];
1244     array[j] = temp;
1245     }
1246     }
1247    
1248     /* That partition is now sorted, grab the next one, or get out
1249     of the loop if there aren't any more.
1250     */
1251    
1252     if (next_stack_entry == 0) {
1253     /* the stack is empty - we are done */
1254     break;
1255     }
1256     --next_stack_entry;
1257     part_left = partition_stack[next_stack_entry].left;
1258     part_right = partition_stack[next_stack_entry].right;
1259     #ifdef QSORT_ORDER_GUESS
1260     qsort_break_even = partition_stack[next_stack_entry].qsort_break_even;
1261     #endif
1262     }
1263     }
1264    
1265     /* Believe it or not, the array is sorted at this point! */
1266     }
1267    
1268     /* Stabilize what is, presumably, an otherwise unstable sort method.
1269     * We do that by allocating (or having on hand) an array of pointers
1270     * that is the same size as the original array of elements to be sorted.
1271     * We initialize this parallel array with the addresses of the original
1272     * array elements. This indirection can make you crazy.
1273     * Some pictures can help. After initializing, we have
1274     *
1275     * indir list1
1276     * +----+ +----+
1277     * | | --------------> | | ------> first element to be sorted
1278     * +----+ +----+
1279     * | | --------------> | | ------> second element to be sorted
1280     * +----+ +----+
1281     * | | --------------> | | ------> third element to be sorted
1282     * +----+ +----+
1283     * ...
1284     * +----+ +----+
1285     * | | --------------> | | ------> n-1st element to be sorted
1286     * +----+ +----+
1287     * | | --------------> | | ------> n-th element to be sorted
1288     * +----+ +----+
1289     *
1290     * During the sort phase, we leave the elements of list1 where they are,
1291     * and sort the pointers in the indirect array in the same order determined
1292     * by the original comparison routine on the elements pointed to.
1293     * Because we don't move the elements of list1 around through
1294     * this phase, we can break ties on elements that compare equal
1295     * using their address in the list1 array, ensuring stabilty.
1296     * This leaves us with something looking like
1297     *
1298     * indir list1
1299     * +----+ +----+
1300     * | | --+ +---> | | ------> first element to be sorted
1301     * +----+ | | +----+
1302     * | | --|-------|---> | | ------> second element to be sorted
1303     * +----+ | | +----+
1304     * | | --|-------+ +-> | | ------> third element to be sorted
1305     * +----+ | | +----+
1306     * ...
1307     * +----+ | | | | +----+
1308     * | | ---|-+ | +--> | | ------> n-1st element to be sorted
1309     * +----+ | | +----+
1310     * | | ---+ +----> | | ------> n-th element to be sorted
1311     * +----+ +----+
1312     *
1313     * where the i-th element of the indirect array points to the element
1314     * that should be i-th in the sorted array. After the sort phase,
1315     * we have to put the elements of list1 into the places
1316     * dictated by the indirect array.
1317     */
1318    
1319    
1320     static I32
1321     cmpindir(pTHX_ gptr a, gptr b)
1322     {
1323     I32 sense;
1324     gptr *ap = (gptr *)a;
1325     gptr *bp = (gptr *)b;
1326    
1327     if ((sense = PL_sort_RealCmp(aTHX_ *ap, *bp)) == 0)
1328     sense = (ap > bp) ? 1 : ((ap < bp) ? -1 : 0);
1329     return sense;
1330     }
1331    
1332     static I32
1333     cmpindir_desc(pTHX_ gptr a, gptr b)
1334     {
1335     I32 sense;
1336     gptr *ap = (gptr *)a;
1337     gptr *bp = (gptr *)b;
1338    
1339     /* Reverse the default */
1340     if ((sense = PL_sort_RealCmp(aTHX_ *ap, *bp)))
1341     return -sense;
1342     /* But don't reverse the stability test. */
1343     return (ap > bp) ? 1 : ((ap < bp) ? -1 : 0);
1344    
1345     }
1346    
1347     STATIC void
1348     S_qsortsv(pTHX_ gptr *list1, size_t nmemb, SVCOMPARE_t cmp, U32 flags)
1349     {
1350     SV *hintsv;
1351    
1352     if (SORTHINTS(hintsv) & HINT_SORT_STABLE) {
1353     register gptr **pp, *q;
1354     register size_t n, j, i;
1355     gptr *small[SMALLSORT], **indir, tmp;
1356     SVCOMPARE_t savecmp;
1357     if (nmemb <= 1) return; /* sorted trivially */
1358    
1359     /* Small arrays can use the stack, big ones must be allocated */
1360     if (nmemb <= SMALLSORT) indir = small;
1361     else { New(1799, indir, nmemb, gptr *); }
1362    
1363     /* Copy pointers to original array elements into indirect array */
1364     for (n = nmemb, pp = indir, q = list1; n--; ) *pp++ = q++;
1365    
1366     savecmp = PL_sort_RealCmp; /* Save current comparison routine, if any */
1367     PL_sort_RealCmp = cmp; /* Put comparison routine where cmpindir can find it */
1368    
1369     /* sort, with indirection */
1370     S_qsortsvu(aTHX_ (gptr *)indir, nmemb,
1371     flags ? cmpindir_desc : cmpindir);
1372    
1373     pp = indir;
1374     q = list1;
1375     for (n = nmemb; n--; ) {
1376     /* Assert A: all elements of q with index > n are already
1377     * in place. This is vacuosly true at the start, and we
1378     * put element n where it belongs below (if it wasn't
1379     * already where it belonged). Assert B: we only move
1380     * elements that aren't where they belong,
1381     * so, by A, we never tamper with elements above n.
1382     */
1383     j = pp[n] - q; /* This sets j so that q[j] is
1384     * at pp[n]. *pp[j] belongs in
1385     * q[j], by construction.
1386     */
1387     if (n != j) { /* all's well if n == j */
1388     tmp = q[j]; /* save what's in q[j] */
1389     do {
1390     q[j] = *pp[j]; /* put *pp[j] where it belongs */
1391     i = pp[j] - q; /* the index in q of the element
1392     * just moved */
1393     pp[j] = q + j; /* this is ok now */
1394     } while ((j = i) != n);
1395     /* There are only finitely many (nmemb) addresses
1396     * in the pp array.
1397     * So we must eventually revisit an index we saw before.
1398     * Suppose the first revisited index is k != n.
1399     * An index is visited because something else belongs there.
1400     * If we visit k twice, then two different elements must
1401     * belong in the same place, which cannot be.
1402     * So j must get back to n, the loop terminates,
1403     * and we put the saved element where it belongs.
1404     */
1405     q[n] = tmp; /* put what belongs into
1406     * the n-th element */
1407     }
1408     }
1409    
1410     /* free iff allocated */
1411     if (indir != small) { Safefree(indir); }
1412     /* restore prevailing comparison routine */
1413     PL_sort_RealCmp = savecmp;
1414     } else if (flags) {
1415     SVCOMPARE_t savecmp = PL_sort_RealCmp; /* Save current comparison routine, if any */
1416     PL_sort_RealCmp = cmp; /* Put comparison routine where cmp_desc can find it */
1417     cmp = cmp_desc;
1418     S_qsortsvu(aTHX_ list1, nmemb, cmp);
1419     /* restore prevailing comparison routine */
1420     PL_sort_RealCmp = savecmp;
1421     } else {
1422     S_qsortsvu(aTHX_ list1, nmemb, cmp);
1423     }
1424     }
1425    
1426     /*
1427     =head1 Array Manipulation Functions
1428    
1429     =for apidoc sortsv
1430    
1431     Sort an array. Here is an example:
1432    
1433     sortsv(AvARRAY(av), av_len(av)+1, Perl_sv_cmp_locale);
1434    
1435     See lib/sort.pm for details about controlling the sorting algorithm.
1436    
1437     =cut
1438     */
1439    
1440     void
1441     Perl_sortsv(pTHX_ SV **array, size_t nmemb, SVCOMPARE_t cmp)
1442     {
1443     void (*sortsvp)(pTHX_ SV **array, size_t nmemb, SVCOMPARE_t cmp, U32 flags)
1444     = S_mergesortsv;
1445     SV *hintsv;
1446     I32 hints;
1447    
1448     /* Sun's Compiler (cc: WorkShop Compilers 4.2 30 Oct 1996 C 4.2) used
1449     to miscompile this function under optimization -O. If you get test
1450     errors related to picking the correct sort() function, try recompiling
1451     this file without optimiziation. -- A.D. 4/2002.
1452     */
1453     hints = SORTHINTS(hintsv);
1454     if (hints & HINT_SORT_QUICKSORT) {
1455     sortsvp = S_qsortsv;
1456     }
1457     else {
1458     /* The default as of 5.8.0 is mergesort */
1459     sortsvp = S_mergesortsv;
1460     }
1461    
1462     sortsvp(aTHX_ array, nmemb, cmp, 0);
1463     }
1464    
1465    
1466     void
1467     S_sortsv_desc(pTHX_ SV **array, size_t nmemb, SVCOMPARE_t cmp)
1468     {
1469     void (*sortsvp)(pTHX_ SV **array, size_t nmemb, SVCOMPARE_t cmp, U32 flags)
1470     = S_mergesortsv;
1471     SV *hintsv;
1472     I32 hints;
1473    
1474     /* Sun's Compiler (cc: WorkShop Compilers 4.2 30 Oct 1996 C 4.2) used
1475     to miscompile this function under optimization -O. If you get test
1476     errors related to picking the correct sort() function, try recompiling
1477     this file without optimiziation. -- A.D. 4/2002.
1478     */
1479     hints = SORTHINTS(hintsv);
1480     if (hints & HINT_SORT_QUICKSORT) {
1481     sortsvp = S_qsortsv;
1482     }
1483     else {
1484     /* The default as of 5.8.0 is mergesort */
1485     sortsvp = S_mergesortsv;
1486     }
1487    
1488     sortsvp(aTHX_ array, nmemb, cmp, 1);
1489     }
1490    
1491     PP(pp_sort)
1492     {
1493     dSP; dMARK; dORIGMARK;
1494     register SV **p1 = ORIGMARK+1, **p2;
1495     register I32 max, i;
1496     AV* av = Nullav;
1497     HV *stash;
1498     GV *gv;
1499     CV *cv = 0;
1500     I32 gimme = GIMME;
1501     OP* nextop = PL_op->op_next;
1502     I32 overloading = 0;
1503     bool hasargs = FALSE;
1504     I32 is_xsub = 0;
1505     I32 sorting_av = 0;
1506     U8 priv = PL_op->op_private;
1507     U8 flags = PL_op->op_flags;
1508     void (*sortsvp)(pTHX_ SV **array, size_t nmemb, SVCOMPARE_t cmp)
1509     = Perl_sortsv;
1510    
1511     if (gimme != G_ARRAY) {
1512     SP = MARK;
1513     RETPUSHUNDEF;
1514     }
1515    
1516     ENTER;
1517     SAVEVPTR(PL_sortcop);
1518     if (flags & OPf_STACKED) {
1519     if (flags & OPf_SPECIAL) {
1520     OP *kid = cLISTOP->op_first->op_sibling; /* pass pushmark */
1521     kid = kUNOP->op_first; /* pass rv2gv */
1522     kid = kUNOP->op_first; /* pass leave */
1523     PL_sortcop = kid->op_next;
1524     stash = CopSTASH(PL_curcop);
1525     }
1526     else {
1527     cv = sv_2cv(*++MARK, &stash, &gv, 0);
1528     if (cv && SvPOK(cv)) {
1529     STRLEN n_a;
1530     char *proto = SvPV((SV*)cv, n_a);
1531     if (proto && strEQ(proto, "$$")) {
1532     hasargs = TRUE;
1533     }
1534     }
1535     if (!(cv && CvROOT(cv))) {
1536     if (cv && CvXSUB(cv)) {
1537     is_xsub = 1;
1538     }
1539     else if (gv) {
1540     SV *tmpstr = sv_newmortal();
1541     gv_efullname3(tmpstr, gv, Nullch);
1542     DIE(aTHX_ "Undefined sort subroutine \"%"SVf"\" called",
1543     tmpstr);
1544     }
1545     else {
1546     DIE(aTHX_ "Undefined subroutine in sort");
1547     }
1548     }
1549    
1550     if (is_xsub)
1551     PL_sortcop = (OP*)cv;
1552     else {
1553     PL_sortcop = CvSTART(cv);
1554     SAVEVPTR(CvROOT(cv)->op_ppaddr);
1555     CvROOT(cv)->op_ppaddr = PL_ppaddr[OP_NULL];
1556    
1557     PAD_SET_CUR(CvPADLIST(cv), 1);
1558     }
1559     }
1560     }
1561     else {
1562     PL_sortcop = Nullop;
1563     stash = CopSTASH(PL_curcop);
1564     }
1565    
1566     /* optimiser converts "@a = sort @a" to "sort \@a";
1567     * in case of tied @a, pessimise: push (@a) onto stack, then assign
1568     * result back to @a at the end of this function */
1569     if (priv & OPpSORT_INPLACE) {
1570     assert( MARK+1 == SP && *SP && SvTYPE(*SP) == SVt_PVAV);
1571     (void)POPMARK; /* remove mark associated with ex-OP_AASSIGN */
1572     av = (AV*)(*SP);
1573     max = AvFILL(av) + 1;
1574     if (SvMAGICAL(av)) {
1575     MEXTEND(SP, max);
1576     p2 = SP;
1577     for (i=0; i < max; i++) {
1578     SV **svp = av_fetch(av, i, FALSE);
1579     *SP++ = (svp) ? *svp : Nullsv;
1580     }
1581     }
1582     else {
1583     p1 = p2 = AvARRAY(av);
1584     sorting_av = 1;
1585     }
1586     }
1587     else {
1588     p2 = MARK+1;
1589     max = SP - MARK;
1590     }
1591    
1592     if (priv & OPpSORT_DESCEND) {
1593     sortsvp = S_sortsv_desc;
1594     }
1595    
1596     /* shuffle stack down, removing optional initial cv (p1!=p2), plus any
1597     * nulls; also stringify any args */
1598     for (i=max; i > 0 ; i--) {
1599     if ((*p1 = *p2++)) { /* Weed out nulls. */
1600     SvTEMP_off(*p1);
1601     if (!PL_sortcop && !SvPOK(*p1)) {
1602     STRLEN n_a;
1603     if (SvAMAGIC(*p1))
1604     overloading = 1;
1605     else
1606     (void)sv_2pv(*p1, &n_a);
1607     }
1608     p1++;
1609     }
1610     else
1611     max--;
1612     }
1613     if (sorting_av)
1614     AvFILLp(av) = max-1;
1615    
1616     if (max > 1) {
1617     SV **start;
1618     if (PL_sortcop) {
1619     PERL_CONTEXT *cx;
1620     SV** newsp;
1621     bool oldcatch = CATCH_GET;
1622    
1623     SAVETMPS;
1624     SAVEOP();
1625    
1626     CATCH_SET(TRUE);
1627     PUSHSTACKi(PERLSI_SORT);
1628     if (!hasargs && !is_xsub) {
1629     if (PL_sortstash != stash || !PL_firstgv || !PL_secondgv) {
1630     SAVESPTR(PL_firstgv);
1631     SAVESPTR(PL_secondgv);
1632     PL_firstgv = gv_fetchpv("a", TRUE, SVt_PV);
1633     PL_secondgv = gv_fetchpv("b", TRUE, SVt_PV);
1634     PL_sortstash = stash;
1635     }
1636     #ifdef USE_5005THREADS
1637     sv_lock((SV *)PL_firstgv);
1638     sv_lock((SV *)PL_secondgv);
1639     #endif
1640     SAVESPTR(GvSV(PL_firstgv));
1641     SAVESPTR(GvSV(PL_secondgv));
1642     }
1643    
1644     PUSHBLOCK(cx, CXt_NULL, PL_stack_base);
1645     if (!(flags & OPf_SPECIAL)) {
1646     cx->cx_type = CXt_SUB;
1647     cx->blk_gimme = G_SCALAR;
1648     PUSHSUB(cx);
1649     }
1650     PL_sortcxix = cxstack_ix;
1651    
1652     if (hasargs && !is_xsub) {
1653     /* This is mostly copied from pp_entersub */
1654     AV *av = (AV*)PAD_SVl(0);
1655    
1656     #ifndef USE_5005THREADS
1657     cx->blk_sub.savearray = GvAV(PL_defgv);
1658     GvAV(PL_defgv) = (AV*)SvREFCNT_inc(av);
1659     #endif /* USE_5005THREADS */
1660     CX_CURPAD_SAVE(cx->blk_sub);
1661     cx->blk_sub.argarray = av;
1662     }
1663    
1664     start = p1 - max;
1665     sortsvp(aTHX_ start, max,
1666     is_xsub ? sortcv_xsub : hasargs ? sortcv_stacked : sortcv);
1667    
1668     POPBLOCK(cx,PL_curpm);
1669     PL_stack_sp = newsp;
1670     POPSTACK;
1671     CATCH_SET(oldcatch);
1672     }
1673     else {
1674     MEXTEND(SP, 20); /* Can't afford stack realloc on signal. */
1675     start = sorting_av ? AvARRAY(av) : ORIGMARK+1;
1676     sortsvp(aTHX_ start, max,
1677     (priv & OPpSORT_NUMERIC)
1678     ? ( (priv & OPpSORT_INTEGER)
1679     ? ( overloading ? amagic_i_ncmp : sv_i_ncmp)
1680     : ( overloading ? amagic_ncmp : sv_ncmp))
1681     : ( IN_LOCALE_RUNTIME
1682     ? ( overloading
1683     ? amagic_cmp_locale
1684     : sv_cmp_locale_static)
1685     : ( overloading ? amagic_cmp : sv_cmp_static)));
1686     }
1687     if (priv & OPpSORT_REVERSE) {
1688     SV **q = start+max-1;
1689     while (start < q) {
1690     SV *tmp = *start;
1691     *start++ = *q;
1692     *q-- = tmp;
1693     }
1694     }
1695     }
1696     if (av && !sorting_av) {
1697     /* simulate pp_aassign of tied AV */
1698     SV *sv;
1699     SV** base, **didstore;
1700     for (base = ORIGMARK+1, i=0; i < max; i++) {
1701     sv = newSVsv(base[i]);
1702     base[i] = sv;
1703     }
1704     av_clear(av);
1705     av_extend(av, max);
1706     for (i=0; i < max; i++) {
1707     sv = base[i];
1708     didstore = av_store(av, i, sv);
1709     if (SvSMAGICAL(sv))
1710     mg_set(sv);
1711     if (!didstore)
1712     sv_2mortal(sv);
1713     }
1714     }
1715     LEAVE;
1716     PL_stack_sp = ORIGMARK + (sorting_av ? 0 : max);
1717     return nextop;
1718     }
1719    
1720     static I32
1721     sortcv(pTHX_ SV *a, SV *b)
1722     {
1723     I32 oldsaveix = PL_savestack_ix;
1724     I32 oldscopeix = PL_scopestack_ix;
1725     I32 result;
1726     GvSV(PL_firstgv) = a;
1727     GvSV(PL_secondgv) = b;
1728     PL_stack_sp = PL_stack_base;
1729     PL_op = PL_sortcop;
1730     CALLRUNOPS(aTHX);
1731     if (PL_stack_sp != PL_stack_base + 1)
1732     Perl_croak(aTHX_ "Sort subroutine didn't return single value");
1733     if (!SvNIOKp(*PL_stack_sp))
1734     Perl_croak(aTHX_ "Sort subroutine didn't return a numeric value");
1735     result = SvIV(*PL_stack_sp);
1736     while (PL_scopestack_ix > oldscopeix) {
1737     LEAVE;
1738     }
1739     leave_scope(oldsaveix);
1740     return result;
1741     }
1742    
1743     static I32
1744     sortcv_stacked(pTHX_ SV *a, SV *b)
1745     {
1746     I32 oldsaveix = PL_savestack_ix;
1747     I32 oldscopeix = PL_scopestack_ix;
1748     I32 result;
1749     AV *av;
1750    
1751     #ifdef USE_5005THREADS
1752     av = (AV*)PAD_SVl(0);
1753     #else
1754     av = GvAV(PL_defgv);
1755     #endif
1756    
1757     if (AvMAX(av) < 1) {
1758     SV** ary = AvALLOC(av);
1759     if (AvARRAY(av) != ary) {
1760     AvMAX(av) += AvARRAY(av) - AvALLOC(av);
1761     SvPVX(av) = (char*)ary;
1762     }
1763     if (AvMAX(av) < 1) {
1764     AvMAX(av) = 1;
1765     Renew(ary,2,SV*);
1766     SvPVX(av) = (char*)ary;
1767     }
1768     }
1769     AvFILLp(av) = 1;
1770    
1771     AvARRAY(av)[0] = a;
1772     AvARRAY(av)[1] = b;
1773     PL_stack_sp = PL_stack_base;
1774     PL_op = PL_sortcop;
1775     CALLRUNOPS(aTHX);
1776     if (PL_stack_sp != PL_stack_base + 1)
1777     Perl_croak(aTHX_ "Sort subroutine didn't return single value");
1778     if (!SvNIOKp(*PL_stack_sp))
1779     Perl_croak(aTHX_ "Sort subroutine didn't return a numeric value");
1780     result = SvIV(*PL_stack_sp);
1781     while (PL_scopestack_ix > oldscopeix) {
1782     LEAVE;
1783     }
1784     leave_scope(oldsaveix);
1785     return result;
1786     }
1787    
1788     static I32
1789     sortcv_xsub(pTHX_ SV *a, SV *b)
1790     {
1791     dSP;
1792     I32 oldsaveix = PL_savestack_ix;
1793     I32 oldscopeix = PL_scopestack_ix;
1794     I32 result;
1795     CV *cv=(CV*)PL_sortcop;
1796    
1797     SP = PL_stack_base;
1798     PUSHMARK(SP);
1799     EXTEND(SP, 2);
1800     *++SP = a;
1801     *++SP = b;
1802     PUTBACK;
1803     (void)(*CvXSUB(cv))(aTHX_ cv);
1804     if (PL_stack_sp != PL_stack_base + 1)
1805     Perl_croak(aTHX_ "Sort subroutine didn't return single value");
1806     if (!SvNIOKp(*PL_stack_sp))
1807     Perl_croak(aTHX_ "Sort subroutine didn't return a numeric value");
1808     result = SvIV(*PL_stack_sp);
1809     while (PL_scopestack_ix > oldscopeix) {
1810     LEAVE;
1811     }
1812     leave_scope(oldsaveix);
1813     return result;
1814     }
1815    
1816    
1817     static I32
1818     sv_ncmp(pTHX_ SV *a, SV *b)
1819     {
1820     NV nv1 = SvNV(a);
1821     NV nv2 = SvNV(b);
1822     return nv1 < nv2 ? -1 : nv1 > nv2 ? 1 : 0;
1823     }
1824    
1825     static I32
1826     sv_i_ncmp(pTHX_ SV *a, SV *b)
1827     {
1828     IV iv1 = SvIV(a);
1829     IV iv2 = SvIV(b);
1830     return iv1 < iv2 ? -1 : iv1 > iv2 ? 1 : 0;
1831     }
1832     #define tryCALL_AMAGICbin(left,right,meth,svp) STMT_START { \
1833     *svp = Nullsv; \
1834     if (PL_amagic_generation) { \
1835     if (SvAMAGIC(left)||SvAMAGIC(right))\
1836     *svp = amagic_call(left, \
1837     right, \
1838     CAT2(meth,_amg), \
1839     0); \
1840     } \
1841     } STMT_END
1842    
1843     static I32
1844     amagic_ncmp(pTHX_ register SV *a, register SV *b)
1845     {
1846     SV *tmpsv;
1847     tryCALL_AMAGICbin(a,b,ncmp,&tmpsv);
1848     if (tmpsv) {
1849     NV d;
1850    
1851     if (SvIOK(tmpsv)) {
1852     I32 i = SvIVX(tmpsv);
1853     if (i > 0)
1854     return 1;
1855     return i? -1 : 0;
1856     }
1857     d = SvNV(tmpsv);
1858     if (d > 0)
1859     return 1;
1860     return d? -1 : 0;
1861     }
1862     return sv_ncmp(aTHX_ a, b);
1863     }
1864    
1865     static I32
1866     amagic_i_ncmp(pTHX_ register SV *a, register SV *b)
1867     {
1868     SV *tmpsv;
1869     tryCALL_AMAGICbin(a,b,ncmp,&tmpsv);
1870     if (tmpsv) {
1871     NV d;
1872    
1873     if (SvIOK(tmpsv)) {
1874     I32 i = SvIVX(tmpsv);
1875     if (i > 0)
1876     return 1;
1877     return i? -1 : 0;
1878     }
1879     d = SvNV(tmpsv);
1880     if (d > 0)
1881     return 1;
1882     return d? -1 : 0;
1883     }
1884     return sv_i_ncmp(aTHX_ a, b);
1885     }
1886    
1887     static I32
1888     amagic_cmp(pTHX_ register SV *str1, register SV *str2)
1889     {
1890     SV *tmpsv;
1891     tryCALL_AMAGICbin(str1,str2,scmp,&tmpsv);
1892     if (tmpsv) {
1893     NV d;
1894    
1895     if (SvIOK(tmpsv)) {
1896     I32 i = SvIVX(tmpsv);
1897     if (i > 0)
1898     return 1;
1899     return i? -1 : 0;
1900     }
1901     d = SvNV(tmpsv);
1902     if (d > 0)
1903     return 1;
1904     return d? -1 : 0;
1905     }
1906     return sv_cmp(str1, str2);
1907     }
1908    
1909     static I32
1910     amagic_cmp_locale(pTHX_ register SV *str1, register SV *str2)
1911     {
1912     SV *tmpsv;
1913     tryCALL_AMAGICbin(str1,str2,scmp,&tmpsv);
1914     if (tmpsv) {
1915     NV d;
1916    
1917     if (SvIOK(tmpsv)) {
1918     I32 i = SvIVX(tmpsv);
1919     if (i > 0)
1920     return 1;
1921     return i? -1 : 0;
1922     }
1923     d = SvNV(tmpsv);
1924     if (d > 0)
1925     return 1;
1926     return d? -1 : 0;
1927     }
1928     return sv_cmp_locale(str1, str2);
1929     }
1930    
1931     /*
1932     * Local variables:
1933     * c-indentation-style: bsd
1934     * c-basic-offset: 4
1935     * indent-tabs-mode: t
1936     * End:
1937     *
1938     * vim: shiftwidth=4:
1939     */