xref: /netbsd-src/external/bsd/openldap/dist/servers/slapd/back-wt/idl.c (revision 549b59ed3ccf0d36d3097190a0db27b770f3a839)
1 /*	$NetBSD: idl.c,v 1.2 2021/08/14 16:15:02 christos Exp $	*/
2 
3 /* OpenLDAP WiredTiger backend */
4 /* $OpenLDAP$ */
5 /* This work is part of OpenLDAP Software <http://www.openldap.org/>.
6  *
7  * Copyright 2002-2021 The OpenLDAP Foundation.
8  * All rights reserved.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted only as authorized by the OpenLDAP
12  * Public License.
13  *
14  * A copy of this license is available in the file LICENSE in the
15  * top-level directory of the distribution or, alternatively, at
16  * <http://www.OpenLDAP.org/license.html>.
17  */
18 /* ACKNOWLEDGEMENTS:
19  * This work was developed by HAMANO Tsukasa <hamano@osstech.co.jp>
20  * based on back-bdb for inclusion in OpenLDAP Software.
21  * WiredTiger is a product of MongoDB Inc.
22  */
23 
24 #include <sys/cdefs.h>
25 __RCSID("$NetBSD: idl.c,v 1.2 2021/08/14 16:15:02 christos Exp $");
26 
27 #include "portable.h"
28 
29 #include <stdio.h>
30 #include <ac/string.h>
31 
32 #include "back-wt.h"
33 #include "idl.h"
34 
35 #define IDL_MAX(x,y)	( (x) > (y) ? (x) : (y) )
36 #define IDL_MIN(x,y)	( (x) < (y) ? (x) : (y) )
37 #define IDL_CMP(x,y)	( (x) < (y) ? -1 : (x) > (y) )
38 
39 #if IDL_DEBUG > 0
idl_check(ID * ids)40 static void idl_check( ID *ids )
41 {
42 	if( WT_IDL_IS_RANGE( ids ) ) {
43 		assert( WT_IDL_RANGE_FIRST(ids) <= WT_IDL_RANGE_LAST(ids) );
44 	} else {
45 		ID i;
46 		for( i=1; i < ids[0]; i++ ) {
47 			assert( ids[i+1] > ids[i] );
48 		}
49 	}
50 }
51 
52 #if IDL_DEBUG > 1
idl_dump(ID * ids)53 static void idl_dump( ID *ids )
54 {
55 	if( WT_IDL_IS_RANGE( ids ) ) {
56 		Debug( LDAP_DEBUG_ANY,
57                "IDL: range ( %ld - %ld )\n",
58                (long) WT_IDL_RANGE_FIRST( ids ),
59                (long) WT_IDL_RANGE_LAST( ids ) );
60 
61 	} else {
62 		ID i;
63 		Debug( LDAP_DEBUG_ANY, "IDL: size %ld", (long) ids[0] );
64 
65 		for( i=1; i<=ids[0]; i++ ) {
66 			if( i % 16 == 1 ) {
67 				Debug( LDAP_DEBUG_ANY, "\n" );
68 			}
69 			Debug( LDAP_DEBUG_ANY, "  %02lx", (long) ids[i] );
70 		}
71 
72 		Debug( LDAP_DEBUG_ANY, "\n" );
73 	}
74 
75 	idl_check( ids );
76 }
77 #endif /* IDL_DEBUG > 1 */
78 #endif /* IDL_DEBUG > 0 */
79 
wt_idl_search(ID * ids,ID id)80 unsigned wt_idl_search( ID *ids, ID id )
81 {
82 #define IDL_BINARY_SEARCH 1
83 #ifdef IDL_BINARY_SEARCH
84 	/*
85 	 * binary search of id in ids
86 	 * if found, returns position of id
87 	 * if not found, returns first position greater than id
88 	 */
89 	unsigned base = 0;
90 	unsigned cursor = 1;
91 	int val = 0;
92 	unsigned n = ids[0];
93 
94 #if IDL_DEBUG > 0
95 	idl_check( ids );
96 #endif
97 
98 	while( 0 < n ) {
99 		unsigned pivot = n >> 1;
100 		cursor = base + pivot + 1;
101 		val = IDL_CMP( id, ids[cursor] );
102 
103 		if( val < 0 ) {
104 			n = pivot;
105 
106 		} else if ( val > 0 ) {
107 			base = cursor;
108 			n -= pivot + 1;
109 
110 		} else {
111 			return cursor;
112 		}
113 	}
114 
115 	if( val > 0 ) {
116 		++cursor;
117 	}
118 	return cursor;
119 
120 #else
121 	/* (reverse) linear search */
122 	int i;
123 
124 #if IDL_DEBUG > 0
125 	idl_check( ids );
126 #endif
127 
128 	for( i=ids[0]; i; i-- ) {
129 		if( id > ids[i] ) {
130 			break;
131 		}
132 	}
133 
134 	return i+1;
135 #endif
136 }
137 
wt_idl_insert(ID * ids,ID id)138 int wt_idl_insert( ID *ids, ID id )
139 {
140 	unsigned x;
141 
142 #if IDL_DEBUG > 1
143 	Debug( LDAP_DEBUG_ANY, "insert: %04lx at %d\n", (long) id, x );
144 	idl_dump( ids );
145 #elif IDL_DEBUG > 0
146 	idl_check( ids );
147 #endif
148 
149 	if (WT_IDL_IS_RANGE( ids )) {
150 		/* if already in range, treat as a dup */
151 		if (id >= WT_IDL_RANGE_FIRST(ids) && id <= WT_IDL_RANGE_LAST(ids))
152 			return -1;
153 		if (id < WT_IDL_RANGE_FIRST(ids))
154 			ids[1] = id;
155 		else if (id > WT_IDL_RANGE_LAST(ids))
156 			ids[2] = id;
157 		return 0;
158 	}
159 
160 	x = wt_idl_search( ids, id );
161 	assert( x > 0 );
162 
163 	if( x < 1 ) {
164 		/* internal error */
165 		return -2;
166 	}
167 
168 	if ( x <= ids[0] && ids[x] == id ) {
169 		/* duplicate */
170 		return -1;
171 	}
172 
173 	if ( ++ids[0] >= WT_IDL_DB_MAX ) {
174 		if( id < ids[1] ) {
175 			ids[1] = id;
176 			ids[2] = ids[ids[0]-1];
177 		} else if ( ids[ids[0]-1] < id ) {
178 			ids[2] = id;
179 		} else {
180 			ids[2] = ids[ids[0]-1];
181 		}
182 		ids[0] = NOID;
183 
184 	} else {
185 		/* insert id */
186 		AC_MEMCPY( &ids[x+1], &ids[x], (ids[0]-x) * sizeof(ID) );
187 		ids[x] = id;
188 	}
189 
190 #if IDL_DEBUG > 1
191 	idl_dump( ids );
192 #elif IDL_DEBUG > 0
193 	idl_check( ids );
194 #endif
195 
196 	return 0;
197 }
198 
wt_idl_delete(ID * ids,ID id)199 static int wt_idl_delete( ID *ids, ID id )
200 {
201 	unsigned x;
202 
203 #if IDL_DEBUG > 1
204 	Debug( LDAP_DEBUG_ANY, "delete: %04lx at %d\n", (long) id, x );
205 	idl_dump( ids );
206 #elif IDL_DEBUG > 0
207 	idl_check( ids );
208 #endif
209 
210 	if (WT_IDL_IS_RANGE( ids )) {
211 		/* If deleting a range boundary, adjust */
212 		if ( ids[1] == id )
213 			ids[1]++;
214 		else if ( ids[2] == id )
215 			ids[2]--;
216 		/* deleting from inside a range is a no-op */
217 
218 		/* If the range has collapsed, re-adjust */
219 		if ( ids[1] > ids[2] )
220 			ids[0] = 0;
221 		else if ( ids[1] == ids[2] )
222 			ids[1] = 1;
223 		return 0;
224 	}
225 
226 	x = wt_idl_search( ids, id );
227 	assert( x > 0 );
228 
229 	if( x <= 0 ) {
230 		/* internal error */
231 		return -2;
232 	}
233 
234 	if( x > ids[0] || ids[x] != id ) {
235 		/* not found */
236 		return -1;
237 
238 	} else if ( --ids[0] == 0 ) {
239 		if( x != 1 ) {
240 			return -3;
241 		}
242 
243 	} else {
244 		AC_MEMCPY( &ids[x], &ids[x+1], (1+ids[0]-x) * sizeof(ID) );
245 	}
246 
247 #if IDL_DEBUG > 1
248 	idl_dump( ids );
249 #elif IDL_DEBUG > 0
250 	idl_check( ids );
251 #endif
252 
253 	return 0;
254 }
255 
256 static char *
wt_show_key(char * buf,void * val,size_t len)257 wt_show_key(
258 	char		*buf,
259 	void		*val,
260 	size_t		len )
261 {
262 	if ( len == 4 /* LUTIL_HASH_BYTES */ ) {
263 		unsigned char *c = val;
264 		sprintf( buf, "[%02x%02x%02x%02x]", c[0], c[1], c[2], c[3] );
265 		return buf;
266 	} else {
267 		return val;
268 	}
269 }
270 
271 /*
272  * idl_intersection - return a = a intersection b
273  */
274 int
wt_idl_intersection(ID * a,ID * b)275 wt_idl_intersection(
276 	ID *a,
277 	ID *b )
278 {
279 	ID ida, idb;
280 	ID idmax, idmin;
281 	ID cursora = 0, cursorb = 0, cursorc;
282 	int swap = 0;
283 
284 	if ( WT_IDL_IS_ZERO( a ) || WT_IDL_IS_ZERO( b ) ) {
285 		a[0] = 0;
286 		return 0;
287 	}
288 
289 	idmin = IDL_MAX( WT_IDL_FIRST(a), WT_IDL_FIRST(b) );
290 	idmax = IDL_MIN( WT_IDL_LAST(a), WT_IDL_LAST(b) );
291 	if ( idmin > idmax ) {
292 		a[0] = 0;
293 		return 0;
294 	} else if ( idmin == idmax ) {
295 		a[0] = 1;
296 		a[1] = idmin;
297 		return 0;
298 	}
299 
300 	if ( WT_IDL_IS_RANGE( a ) ) {
301 		if ( WT_IDL_IS_RANGE(b) ) {
302 		/* If both are ranges, just shrink the boundaries */
303 			a[1] = idmin;
304 			a[2] = idmax;
305 			return 0;
306 		} else {
307 		/* Else swap so that b is the range, a is a list */
308 			ID *tmp = a;
309 			a = b;
310 			b = tmp;
311 			swap = 1;
312 		}
313 	}
314 
315 	/* If a range completely covers the list, the result is
316 	 * just the list. If idmin to idmax is contiguous, just
317 	 * turn it into a range.
318 	 */
319 	if ( WT_IDL_IS_RANGE( b )
320 		&& WT_IDL_RANGE_FIRST( b ) <= WT_IDL_FIRST( a )
321 		&& WT_IDL_RANGE_LAST( b ) >= WT_IDL_LLAST( a ) ) {
322 		if (idmax - idmin + 1 == a[0])
323 		{
324 			a[0] = NOID;
325 			a[1] = idmin;
326 			a[2] = idmax;
327 		}
328 		goto done;
329 	}
330 
331 	/* Fine, do the intersection one element at a time.
332 	 * First advance to idmin in both IDLs.
333 	 */
334 	cursora = cursorb = idmin;
335 	ida = wt_idl_first( a, &cursora );
336 	idb = wt_idl_first( b, &cursorb );
337 	cursorc = 0;
338 
339 	while( ida <= idmax || idb <= idmax ) {
340 		if( ida == idb ) {
341 			a[++cursorc] = ida;
342 			ida = wt_idl_next( a, &cursora );
343 			idb = wt_idl_next( b, &cursorb );
344 		} else if ( ida < idb ) {
345 			ida = wt_idl_next( a, &cursora );
346 		} else {
347 			idb = wt_idl_next( b, &cursorb );
348 		}
349 	}
350 	a[0] = cursorc;
351 done:
352 	if (swap)
353 		WT_IDL_CPY( b, a );
354 
355 	return 0;
356 }
357 
358 
359 /*
360  * idl_union - return a = a union b
361  */
362 int
wt_idl_union(ID * a,ID * b)363 wt_idl_union(
364 	ID	*a,
365 	ID	*b )
366 {
367 	ID ida, idb;
368 	ID cursora = 0, cursorb = 0, cursorc;
369 
370 	if ( WT_IDL_IS_ZERO( b ) ) {
371 		return 0;
372 	}
373 
374 	if ( WT_IDL_IS_ZERO( a ) ) {
375 		WT_IDL_CPY( a, b );
376 		return 0;
377 	}
378 
379 	if ( WT_IDL_IS_RANGE( a ) || WT_IDL_IS_RANGE(b) ) {
380 over:		ida = IDL_MIN( WT_IDL_FIRST(a), WT_IDL_FIRST(b) );
381 		idb = IDL_MAX( WT_IDL_LAST(a), WT_IDL_LAST(b) );
382 		a[0] = NOID;
383 		a[1] = ida;
384 		a[2] = idb;
385 		return 0;
386 	}
387 
388 	ida = wt_idl_first( a, &cursora );
389 	idb = wt_idl_first( b, &cursorb );
390 
391 	cursorc = b[0];
392 
393 	/* The distinct elements of a are cat'd to b */
394 	while( ida != NOID || idb != NOID ) {
395 		if ( ida < idb ) {
396 			if( ++cursorc > WT_IDL_UM_MAX ) {
397 				goto over;
398 			}
399 			b[cursorc] = ida;
400 			ida = wt_idl_next( a, &cursora );
401 
402 		} else {
403 			if ( ida == idb )
404 				ida = wt_idl_next( a, &cursora );
405 			idb = wt_idl_next( b, &cursorb );
406 		}
407 	}
408 
409 	/* b is copied back to a in sorted order */
410 	a[0] = cursorc;
411 	cursora = 1;
412 	cursorb = 1;
413 	cursorc = b[0]+1;
414 	while (cursorb <= b[0] || cursorc <= a[0]) {
415 		if (cursorc > a[0])
416 			idb = NOID;
417 		else
418 			idb = b[cursorc];
419 		if (cursorb <= b[0] && b[cursorb] < idb)
420 			a[cursora++] = b[cursorb++];
421 		else {
422 			a[cursora++] = idb;
423 			cursorc++;
424 		}
425 	}
426 
427 	return 0;
428 }
429 
430 
431 #if 0
432 /*
433  * wt_idl_notin - return a intersection ~b (or a minus b)
434  */
435 int
436 wt_idl_notin(
437 	ID	*a,
438 	ID	*b,
439 	ID *ids )
440 {
441 	ID ida, idb;
442 	ID cursora = 0, cursorb = 0;
443 
444 	if( WT_IDL_IS_ZERO( a ) ||
445 		WT_IDL_IS_ZERO( b ) ||
446 		WT_IDL_IS_RANGE( b ) )
447 	{
448 		WT_IDL_CPY( ids, a );
449 		return 0;
450 	}
451 
452 	if( WT_IDL_IS_RANGE( a ) ) {
453 		WT_IDL_CPY( ids, a );
454 		return 0;
455 	}
456 
457 	ida = wt_idl_first( a, &cursora ),
458 	idb = wt_idl_first( b, &cursorb );
459 
460 	ids[0] = 0;
461 
462 	while( ida != NOID ) {
463 		if ( idb == NOID ) {
464 			/* we could shortcut this */
465 			ids[++ids[0]] = ida;
466 			ida = wt_idl_next( a, &cursora );
467 
468 		} else if ( ida < idb ) {
469 			ids[++ids[0]] = ida;
470 			ida = wt_idl_next( a, &cursora );
471 
472 		} else if ( ida > idb ) {
473 			idb = wt_idl_next( b, &cursorb );
474 
475 		} else {
476 			ida = wt_idl_next( a, &cursora );
477 			idb = wt_idl_next( b, &cursorb );
478 		}
479 	}
480 
481 	return 0;
482 }
483 #endif
484 
wt_idl_first(ID * ids,ID * cursor)485 ID wt_idl_first( ID *ids, ID *cursor )
486 {
487 	ID pos;
488 
489 	if ( ids[0] == 0 ) {
490 		*cursor = NOID;
491 		return NOID;
492 	}
493 
494 	if ( WT_IDL_IS_RANGE( ids ) ) {
495 		if( *cursor < ids[1] ) {
496 			*cursor = ids[1];
497 		}
498 		return *cursor;
499 	}
500 
501 	if ( *cursor == 0 )
502 		pos = 1;
503 	else
504 		pos = wt_idl_search( ids, *cursor );
505 
506 	if( pos > ids[0] ) {
507 		return NOID;
508 	}
509 
510 	*cursor = pos;
511 	return ids[pos];
512 }
513 
wt_idl_next(ID * ids,ID * cursor)514 ID wt_idl_next( ID *ids, ID *cursor )
515 {
516 	if ( WT_IDL_IS_RANGE( ids ) ) {
517 		if( ids[2] < ++(*cursor) ) {
518 			return NOID;
519 		}
520 		return *cursor;
521 	}
522 
523 	if ( ++(*cursor) <= ids[0] ) {
524 		return ids[*cursor];
525 	}
526 
527 	return NOID;
528 }
529 
530 /* Add one ID to an unsorted list. We ensure that the first element is the
531  * minimum and the last element is the maximum, for fast range compaction.
532  *   this means IDLs up to length 3 are always sorted...
533  */
wt_idl_append_one(ID * ids,ID id)534 int wt_idl_append_one( ID *ids, ID id )
535 {
536 	if (WT_IDL_IS_RANGE( ids )) {
537 		/* if already in range, treat as a dup */
538 		if (id >= WT_IDL_RANGE_FIRST(ids) && id <= WT_IDL_RANGE_LAST(ids))
539 			return -1;
540 		if (id < WT_IDL_RANGE_FIRST(ids))
541 			ids[1] = id;
542 		else if (id > WT_IDL_RANGE_LAST(ids))
543 			ids[2] = id;
544 		return 0;
545 	}
546 	if ( ids[0] ) {
547 		ID tmp;
548 
549 		if (id < ids[1]) {
550 			tmp = ids[1];
551 			ids[1] = id;
552 			id = tmp;
553 		}
554 		if ( ids[0] > 1 && id < ids[ids[0]] ) {
555 			tmp = ids[ids[0]];
556 			ids[ids[0]] = id;
557 			id = tmp;
558 		}
559 	}
560 	ids[0]++;
561 	if ( ids[0] >= WT_IDL_UM_MAX ) {
562 		ids[0] = NOID;
563 		ids[2] = id;
564 	} else {
565 		ids[ids[0]] = id;
566 	}
567 	return 0;
568 }
569 
570 /* Append sorted list b to sorted list a. The result is unsorted but
571  * a[1] is the min of the result and a[a[0]] is the max.
572  */
wt_idl_append(ID * a,ID * b)573 int wt_idl_append( ID *a, ID *b )
574 {
575 	ID ida, idb, tmp, swap = 0;
576 
577 	if ( WT_IDL_IS_ZERO( b ) ) {
578 		return 0;
579 	}
580 
581 	if ( WT_IDL_IS_ZERO( a ) ) {
582 		WT_IDL_CPY( a, b );
583 		return 0;
584 	}
585 
586 	ida = WT_IDL_LAST( a );
587 	idb = WT_IDL_LAST( b );
588 	if ( WT_IDL_IS_RANGE( a ) || WT_IDL_IS_RANGE(b) ||
589 		a[0] + b[0] >= WT_IDL_UM_MAX ) {
590 		a[2] = IDL_MAX( ida, idb );
591 		a[1] = IDL_MIN( a[1], b[1] );
592 		a[0] = NOID;
593 		return 0;
594 	}
595 
596 	if ( b[0] > 1 && ida > idb ) {
597 		swap = idb;
598 		a[a[0]] = idb;
599 		b[b[0]] = ida;
600 	}
601 
602 	if ( b[1] < a[1] ) {
603 		tmp = a[1];
604 		a[1] = b[1];
605 	} else {
606 		tmp = b[1];
607 	}
608 	a[0]++;
609 	a[a[0]] = tmp;
610 
611 	if ( b[0] > 1 ) {
612 		int i = b[0] - 1;
613 		AC_MEMCPY(a+a[0]+1, b+2, i * sizeof(ID));
614 		a[0] += i;
615 	}
616 	if ( swap ) {
617 		b[b[0]] = swap;
618 	}
619 	return 0;
620 }
621 
622 #if 1
623 
624 /* Quicksort + Insertion sort for small arrays */
625 
626 #define SMALL	8
627 #define	SWAP(a,b)	itmp=(a);(a)=(b);(b)=itmp
628 
629 void
wt_idl_sort(ID * ids,ID * tmp)630 wt_idl_sort( ID *ids, ID *tmp )
631 {
632 	int *istack = (int *)tmp; /* Private stack, not used by caller */
633 	int i,j,k,l,ir,jstack;
634 	ID a, itmp;
635 
636 	if ( WT_IDL_IS_RANGE( ids ))
637 		return;
638 
639 	ir = ids[0];
640 	l = 1;
641 	jstack = 0;
642 	for(;;) {
643 		if (ir - l < SMALL) {	/* Insertion sort */
644 			for (j=l+1;j<=ir;j++) {
645 				a = ids[j];
646 				for (i=j-1;i>=1;i--) {
647 					if (ids[i] <= a) break;
648 					ids[i+1] = ids[i];
649 				}
650 				ids[i+1] = a;
651 			}
652 			if (jstack == 0) break;
653 			ir = istack[jstack--];
654 			l = istack[jstack--];
655 		} else {
656 			k = (l + ir) >> 1;	/* Choose median of left, center, right */
657 			SWAP(ids[k], ids[l+1]);
658 			if (ids[l] > ids[ir]) {
659 				SWAP(ids[l], ids[ir]);
660 			}
661 			if (ids[l+1] > ids[ir]) {
662 				SWAP(ids[l+1], ids[ir]);
663 			}
664 			if (ids[l] > ids[l+1]) {
665 				SWAP(ids[l], ids[l+1]);
666 			}
667 			i = l+1;
668 			j = ir;
669 			a = ids[l+1];
670 			for(;;) {
671 				do i++; while(ids[i] < a);
672 				do j--; while(ids[j] > a);
673 				if (j < i) break;
674 				SWAP(ids[i],ids[j]);
675 			}
676 			ids[l+1] = ids[j];
677 			ids[j] = a;
678 			jstack += 2;
679 			if (ir-i+1 >= j-l) {
680 				istack[jstack] = ir;
681 				istack[jstack-1] = i;
682 				ir = j-1;
683 			} else {
684 				istack[jstack] = j-1;
685 				istack[jstack-1] = l;
686 				l = i;
687 			}
688 		}
689 	}
690 }
691 
692 #else
693 
694 /* 8 bit Radix sort + insertion sort
695  *
696  * based on code from http://www.cubic.org/docs/radix.htm
697  * with improvements by ebackes@symas.com and hyc@symas.com
698  *
699  * This code is O(n) but has a relatively high constant factor. For lists
700  * up to ~50 Quicksort is slightly faster; up to ~100 they are even.
701  * Much faster than quicksort for lists longer than ~100. Insertion
702  * sort is actually superior for lists <50.
703  */
704 
705 #define BUCKETS	(1<<8)
706 #define SMALL	50
707 
708 void
wt_idl_sort(ID * ids,ID * tmp)709 wt_idl_sort( ID *ids, ID *tmp )
710 {
711 	int count, soft_limit, phase = 0, size = ids[0];
712 	ID *idls[2];
713 	unsigned char *maxv = (unsigned char *)&ids[size];
714 
715 	if ( WT_IDL_IS_RANGE( ids ))
716 		return;
717 
718 	/* Use insertion sort for small lists */
719 	if ( size <= SMALL ) {
720 		int i,j;
721 		ID a;
722 
723 		for (j=1;j<=size;j++) {
724 			a = ids[j];
725 			for (i=j-1;i>=1;i--) {
726 				if (ids[i] <= a) break;
727 				ids[i+1] = ids[i];
728 			}
729 			ids[i+1] = a;
730 		}
731 		return;
732 	}
733 
734 	tmp[0] = size;
735 	idls[0] = ids;
736 	idls[1] = tmp;
737 
738 #if BYTE_ORDER == BIG_ENDIAN
739     for (soft_limit = 0; !maxv[soft_limit]; soft_limit++);
740 #else
741     for (soft_limit = sizeof(ID)-1; !maxv[soft_limit]; soft_limit--);
742 #endif
743 
744 	for (
745 #if BYTE_ORDER == BIG_ENDIAN
746 	count = sizeof(ID)-1; count >= soft_limit; --count
747 #else
748 	count = 0; count <= soft_limit; ++count
749 #endif
750 	) {
751 		unsigned int num[BUCKETS], * np, n, sum;
752 		int i;
753         ID *sp, *source, *dest;
754         unsigned char *bp, *source_start;
755 
756 		source = idls[phase]+1;
757 		dest = idls[phase^1]+1;
758 		source_start =  ((unsigned char *) source) + count;
759 
760         np = num;
761         for ( i = BUCKETS; i > 0; --i ) *np++ = 0;
762 
763 		/* count occurrences of every byte value */
764 		bp = source_start;
765         for ( i = size; i > 0; --i, bp += sizeof(ID) )
766 				num[*bp]++;
767 
768 		/* transform count into index by summing elements and storing
769 		 * into same array
770 		 */
771         sum = 0;
772         np = num;
773         for ( i = BUCKETS; i > 0; --i ) {
774                 n = *np;
775                 *np++ = sum;
776                 sum += n;
777         }
778 
779 		/* fill dest with the right values in the right place */
780 		bp = source_start;
781         sp = source;
782         for ( i = size; i > 0; --i, bp += sizeof(ID) ) {
783                 np = num + *bp;
784                 dest[*np] = *sp++;
785                 ++(*np);
786         }
787 		phase ^= 1;
788 	}
789 
790 	/* copy back from temp if needed */
791 	if ( phase ) {
792 		ids++; tmp++;
793 		for ( count = 0; count < size; ++count )
794 			*ids++ = *tmp++;
795 	}
796 }
797 #endif	/* Quick vs Radix */
798 
799