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authorderaadt <>1995-10-18 08:42:23 +0000
committerderaadt <>1995-10-18 08:42:23 +0000
commit0527d29da443886d92e9a418180c5b25a5f8d270 (patch)
tree86b3a64928451a669cefa27900e5884036b4e349 /src/lib/libc/stdlib/merge.c
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initial import of NetBSD tree
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1/*-
2 * Copyright (c) 1992, 1993
3 * The Regents of the University of California. All rights reserved.
4 *
5 * This code is derived from software contributed to Berkeley by
6 * Peter McIlroy.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 * 1. Redistributions of source code must retain the above copyright
12 * notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 * notice, this list of conditions and the following disclaimer in the
15 * documentation and/or other materials provided with the distribution.
16 * 3. All advertising materials mentioning features or use of this software
17 * must display the following acknowledgement:
18 * This product includes software developed by the University of
19 * California, Berkeley and its contributors.
20 * 4. Neither the name of the University nor the names of its contributors
21 * may be used to endorse or promote products derived from this software
22 * without specific prior written permission.
23 *
24 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
25 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
26 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
27 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
28 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
29 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
30 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
31 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
32 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
33 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
34 * SUCH DAMAGE.
35 */
36
37#if defined(LIBC_SCCS) && !defined(lint)
38/*static char sccsid[] = "from: @(#)merge.c 8.2 (Berkeley) 2/14/94";*/
39static char *rcsid = "$Id: merge.c,v 1.1.1.1 1995/10/18 08:42:18 deraadt Exp $";
40#endif /* LIBC_SCCS and not lint */
41
42/*
43 * Hybrid exponential search/linear search merge sort with hybrid
44 * natural/pairwise first pass. Requires about .3% more comparisons
45 * for random data than LSMS with pairwise first pass alone.
46 * It works for objects as small as two bytes.
47 */
48
49#define NATURAL
50#define THRESHOLD 16 /* Best choice for natural merge cut-off. */
51
52/* #define NATURAL to get hybrid natural merge.
53 * (The default is pairwise merging.)
54 */
55
56#include <sys/types.h>
57
58#include <errno.h>
59#include <stdlib.h>
60#include <string.h>
61
62static void setup __P((u_char *, u_char *, size_t, size_t, int (*)()));
63static void insertionsort __P((u_char *, size_t, size_t, int (*)()));
64
65#define ISIZE sizeof(int)
66#define PSIZE sizeof(u_char *)
67#define ICOPY_LIST(src, dst, last) \
68 do \
69 *(int*)dst = *(int*)src, src += ISIZE, dst += ISIZE; \
70 while(src < last)
71#define ICOPY_ELT(src, dst, i) \
72 do \
73 *(int*) dst = *(int*) src, src += ISIZE, dst += ISIZE; \
74 while (i -= ISIZE)
75
76#define CCOPY_LIST(src, dst, last) \
77 do \
78 *dst++ = *src++; \
79 while (src < last)
80#define CCOPY_ELT(src, dst, i) \
81 do \
82 *dst++ = *src++; \
83 while (i -= 1)
84
85/*
86 * Find the next possible pointer head. (Trickery for forcing an array
87 * to do double duty as a linked list when objects do not align with word
88 * boundaries.
89 */
90/* Assumption: PSIZE is a power of 2. */
91#define EVAL(p) (u_char **) \
92 ((u_char *)0 + \
93 (((u_char *)p + PSIZE - 1 - (u_char *) 0) & ~(PSIZE - 1)))
94
95/*
96 * Arguments are as for qsort.
97 */
98int
99mergesort(base, nmemb, size, cmp)
100 void *base;
101 size_t nmemb;
102 register size_t size;
103 int (*cmp) __P((const void *, const void *));
104{
105 register int i, sense;
106 int big, iflag;
107 register u_char *f1, *f2, *t, *b, *tp2, *q, *l1, *l2;
108 u_char *list2, *list1, *p2, *p, *last, **p1;
109
110 if (size < PSIZE / 2) { /* Pointers must fit into 2 * size. */
111 errno = EINVAL;
112 return (-1);
113 }
114
115 /*
116 * XXX
117 * Stupid subtraction for the Cray.
118 */
119 iflag = 0;
120 if (!(size % ISIZE) && !(((char *)base - (char *)0) % ISIZE))
121 iflag = 1;
122
123 if ((list2 = malloc(nmemb * size + PSIZE)) == NULL)
124 return (-1);
125
126 list1 = base;
127 setup(list1, list2, nmemb, size, cmp);
128 last = list2 + nmemb * size;
129 i = big = 0;
130 while (*EVAL(list2) != last) {
131 l2 = list1;
132 p1 = EVAL(list1);
133 for (tp2 = p2 = list2; p2 != last; p1 = EVAL(l2)) {
134 p2 = *EVAL(p2);
135 f1 = l2;
136 f2 = l1 = list1 + (p2 - list2);
137 if (p2 != last)
138 p2 = *EVAL(p2);
139 l2 = list1 + (p2 - list2);
140 while (f1 < l1 && f2 < l2) {
141 if ((*cmp)(f1, f2) <= 0) {
142 q = f2;
143 b = f1, t = l1;
144 sense = -1;
145 } else {
146 q = f1;
147 b = f2, t = l2;
148 sense = 0;
149 }
150 if (!big) { /* here i = 0 */
151LINEAR: while ((b += size) < t && cmp(q, b) >sense)
152 if (++i == 6) {
153 big = 1;
154 goto EXPONENTIAL;
155 }
156 } else {
157EXPONENTIAL: for (i = size; ; i <<= 1)
158 if ((p = (b + i)) >= t) {
159 if ((p = t - size) > b &&
160 (*cmp)(q, p) <= sense)
161 t = p;
162 else
163 b = p;
164 break;
165 } else if ((*cmp)(q, p) <= sense) {
166 t = p;
167 if (i == size)
168 big = 0;
169 goto FASTCASE;
170 } else
171 b = p;
172SLOWCASE: while (t > b+size) {
173 i = (((t - b) / size) >> 1) * size;
174 if ((*cmp)(q, p = b + i) <= sense)
175 t = p;
176 else
177 b = p;
178 }
179 goto COPY;
180FASTCASE: while (i > size)
181 if ((*cmp)(q,
182 p = b + (i >>= 1)) <= sense)
183 t = p;
184 else
185 b = p;
186COPY: b = t;
187 }
188 i = size;
189 if (q == f1) {
190 if (iflag) {
191 ICOPY_LIST(f2, tp2, b);
192 ICOPY_ELT(f1, tp2, i);
193 } else {
194 CCOPY_LIST(f2, tp2, b);
195 CCOPY_ELT(f1, tp2, i);
196 }
197 } else {
198 if (iflag) {
199 ICOPY_LIST(f1, tp2, b);
200 ICOPY_ELT(f2, tp2, i);
201 } else {
202 CCOPY_LIST(f1, tp2, b);
203 CCOPY_ELT(f2, tp2, i);
204 }
205 }
206 }
207 if (f2 < l2) {
208 if (iflag)
209 ICOPY_LIST(f2, tp2, l2);
210 else
211 CCOPY_LIST(f2, tp2, l2);
212 } else if (f1 < l1) {
213 if (iflag)
214 ICOPY_LIST(f1, tp2, l1);
215 else
216 CCOPY_LIST(f1, tp2, l1);
217 }
218 *p1 = l2;
219 }
220 tp2 = list1; /* swap list1, list2 */
221 list1 = list2;
222 list2 = tp2;
223 last = list2 + nmemb*size;
224 }
225 if (base == list2) {
226 memmove(list2, list1, nmemb*size);
227 list2 = list1;
228 }
229 free(list2);
230 return (0);
231}
232
233#define swap(a, b) { \
234 s = b; \
235 i = size; \
236 do { \
237 tmp = *a; *a++ = *s; *s++ = tmp; \
238 } while (--i); \
239 a -= size; \
240 }
241#define reverse(bot, top) { \
242 s = top; \
243 do { \
244 i = size; \
245 do { \
246 tmp = *bot; *bot++ = *s; *s++ = tmp; \
247 } while (--i); \
248 s -= size2; \
249 } while(bot < s); \
250}
251
252/*
253 * Optional hybrid natural/pairwise first pass. Eats up list1 in runs of
254 * increasing order, list2 in a corresponding linked list. Checks for runs
255 * when THRESHOLD/2 pairs compare with same sense. (Only used when NATURAL
256 * is defined. Otherwise simple pairwise merging is used.)
257 */
258void
259setup(list1, list2, n, size, cmp)
260 size_t n, size;
261 int (*cmp) __P((const void *, const void *));
262 u_char *list1, *list2;
263{
264 int i, length, size2, tmp, sense;
265 u_char *f1, *f2, *s, *l2, *last, *p2;
266
267 size2 = size*2;
268 if (n <= 5) {
269 insertionsort(list1, n, size, cmp);
270 *EVAL(list2) = (u_char*) list2 + n*size;
271 return;
272 }
273 /*
274 * Avoid running pointers out of bounds; limit n to evens
275 * for simplicity.
276 */
277 i = 4 + (n & 1);
278 insertionsort(list1 + (n - i) * size, i, size, cmp);
279 last = list1 + size * (n - i);
280 *EVAL(list2 + (last - list1)) = list2 + n * size;
281
282#ifdef NATURAL
283 p2 = list2;
284 f1 = list1;
285 sense = (cmp(f1, f1 + size) > 0);
286 for (; f1 < last; sense = !sense) {
287 length = 2;
288 /* Find pairs with same sense. */
289 for (f2 = f1 + size2; f2 < last; f2 += size2) {
290 if ((cmp(f2, f2+ size) > 0) != sense)
291 break;
292 length += 2;
293 }
294 if (length < THRESHOLD) { /* Pairwise merge */
295 do {
296 p2 = *EVAL(p2) = f1 + size2 - list1 + list2;
297 if (sense > 0)
298 swap (f1, f1 + size);
299 } while ((f1 += size2) < f2);
300 } else { /* Natural merge */
301 l2 = f2;
302 for (f2 = f1 + size2; f2 < l2; f2 += size2) {
303 if ((cmp(f2-size, f2) > 0) != sense) {
304 p2 = *EVAL(p2) = f2 - list1 + list2;
305 if (sense > 0)
306 reverse(f1, f2-size);
307 f1 = f2;
308 }
309 }
310 if (sense > 0)
311 reverse (f1, f2-size);
312 f1 = f2;
313 if (f2 < last || cmp(f2 - size, f2) > 0)
314 p2 = *EVAL(p2) = f2 - list1 + list2;
315 else
316 p2 = *EVAL(p2) = list2 + n*size;
317 }
318 }
319#else /* pairwise merge only. */
320 for (f1 = list1, p2 = list2; f1 < last; f1 += size2) {
321 p2 = *EVAL(p2) = p2 + size2;
322 if (cmp (f1, f1 + size) > 0)
323 swap(f1, f1 + size);
324 }
325#endif /* NATURAL */
326}
327
328/*
329 * This is to avoid out-of-bounds addresses in sorting the
330 * last 4 elements.
331 */
332static void
333insertionsort(a, n, size, cmp)
334 u_char *a;
335 size_t n, size;
336 int (*cmp) __P((const void *, const void *));
337{
338 u_char *ai, *s, *t, *u, tmp;
339 int i;
340
341 for (ai = a+size; --n >= 1; ai += size)
342 for (t = ai; t > a; t -= size) {
343 u = t - size;
344 if (cmp(u, t) <= 0)
345 break;
346 swap(u, t);
347 }
348}