1 |
|
|
/* $OpenBSD: merge.c,v 1.10 2015/06/21 03:20:56 millert Exp $ */ |
2 |
|
|
/*- |
3 |
|
|
* Copyright (c) 1992, 1993 |
4 |
|
|
* The Regents of the University of California. All rights reserved. |
5 |
|
|
* |
6 |
|
|
* This code is derived from software contributed to Berkeley by |
7 |
|
|
* Peter McIlroy. |
8 |
|
|
* |
9 |
|
|
* Redistribution and use in source and binary forms, with or without |
10 |
|
|
* modification, are permitted provided that the following conditions |
11 |
|
|
* are met: |
12 |
|
|
* 1. Redistributions of source code must retain the above copyright |
13 |
|
|
* notice, this list of conditions and the following disclaimer. |
14 |
|
|
* 2. Redistributions in binary form must reproduce the above copyright |
15 |
|
|
* notice, this list of conditions and the following disclaimer in the |
16 |
|
|
* documentation and/or other materials provided with the distribution. |
17 |
|
|
* 3. Neither the name of the University nor the names of its contributors |
18 |
|
|
* may be used to endorse or promote products derived from this software |
19 |
|
|
* without specific prior written permission. |
20 |
|
|
* |
21 |
|
|
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND |
22 |
|
|
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
23 |
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
24 |
|
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE |
25 |
|
|
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
26 |
|
|
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
27 |
|
|
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
28 |
|
|
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
29 |
|
|
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
30 |
|
|
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
31 |
|
|
* SUCH DAMAGE. |
32 |
|
|
*/ |
33 |
|
|
|
34 |
|
|
/* |
35 |
|
|
* Hybrid exponential search/linear search merge sort with hybrid |
36 |
|
|
* natural/pairwise first pass. Requires about .3% more comparisons |
37 |
|
|
* for random data than LSMS with pairwise first pass alone. |
38 |
|
|
* It works for objects as small as two bytes. |
39 |
|
|
*/ |
40 |
|
|
|
41 |
|
|
#define NATURAL |
42 |
|
|
#define THRESHOLD 16 /* Best choice for natural merge cut-off. */ |
43 |
|
|
|
44 |
|
|
/* #define NATURAL to get hybrid natural merge. |
45 |
|
|
* (The default is pairwise merging.) |
46 |
|
|
*/ |
47 |
|
|
|
48 |
|
|
#include <sys/types.h> |
49 |
|
|
|
50 |
|
|
#include <errno.h> |
51 |
|
|
#include <stdlib.h> |
52 |
|
|
#include <string.h> |
53 |
|
|
|
54 |
|
|
static void setup(u_char *, u_char *, size_t, size_t, int (*)()); |
55 |
|
|
static void insertionsort(u_char *, size_t, size_t, int (*)()); |
56 |
|
|
|
57 |
|
|
#define ISIZE sizeof(int) |
58 |
|
|
#define PSIZE sizeof(u_char *) |
59 |
|
|
#define ICOPY_LIST(src, dst, last) \ |
60 |
|
|
do \ |
61 |
|
|
*(int*)dst = *(int*)src, src += ISIZE, dst += ISIZE; \ |
62 |
|
|
while(src < last) |
63 |
|
|
#define ICOPY_ELT(src, dst, i) \ |
64 |
|
|
do \ |
65 |
|
|
*(int*) dst = *(int*) src, src += ISIZE, dst += ISIZE; \ |
66 |
|
|
while (i -= ISIZE) |
67 |
|
|
|
68 |
|
|
#define CCOPY_LIST(src, dst, last) \ |
69 |
|
|
do \ |
70 |
|
|
*dst++ = *src++; \ |
71 |
|
|
while (src < last) |
72 |
|
|
#define CCOPY_ELT(src, dst, i) \ |
73 |
|
|
do \ |
74 |
|
|
*dst++ = *src++; \ |
75 |
|
|
while (i -= 1) |
76 |
|
|
|
77 |
|
|
/* |
78 |
|
|
* Find the next possible pointer head. (Trickery for forcing an array |
79 |
|
|
* to do double duty as a linked list when objects do not align with word |
80 |
|
|
* boundaries. |
81 |
|
|
*/ |
82 |
|
|
/* Assumption: PSIZE is a power of 2. */ |
83 |
|
|
#define EVAL(p) (u_char **) \ |
84 |
|
|
((u_char *)0 + \ |
85 |
|
|
(((u_char *)p + PSIZE - 1 - (u_char *) 0) & ~(PSIZE - 1))) |
86 |
|
|
|
87 |
|
|
/* |
88 |
|
|
* Arguments are as for qsort. |
89 |
|
|
*/ |
90 |
|
|
int |
91 |
|
|
mergesort(void *base, size_t nmemb, size_t size, |
92 |
|
|
int (*cmp)(const void *, const void *)) |
93 |
|
|
{ |
94 |
|
|
int i, sense; |
95 |
|
|
int big, iflag; |
96 |
|
|
u_char *f1, *f2, *t, *b, *tp2, *q, *l1, *l2; |
97 |
|
|
u_char *list2, *list1, *p2, *p, *last, **p1; |
98 |
|
|
|
99 |
|
|
if (size < PSIZE / 2) { /* Pointers must fit into 2 * size. */ |
100 |
|
|
errno = EINVAL; |
101 |
|
|
return (-1); |
102 |
|
|
} |
103 |
|
|
|
104 |
|
|
if (nmemb == 0) |
105 |
|
|
return (0); |
106 |
|
|
|
107 |
|
|
/* |
108 |
|
|
* XXX |
109 |
|
|
* Stupid subtraction for the Cray. |
110 |
|
|
*/ |
111 |
|
|
iflag = 0; |
112 |
|
|
if (!(size % ISIZE) && !(((char *)base - (char *)0) % ISIZE)) |
113 |
|
|
iflag = 1; |
114 |
|
|
|
115 |
|
|
if ((list2 = malloc(nmemb * size + PSIZE)) == NULL) |
116 |
|
|
return (-1); |
117 |
|
|
|
118 |
|
|
list1 = base; |
119 |
|
|
setup(list1, list2, nmemb, size, cmp); |
120 |
|
|
last = list2 + nmemb * size; |
121 |
|
|
i = big = 0; |
122 |
|
|
while (*EVAL(list2) != last) { |
123 |
|
|
l2 = list1; |
124 |
|
|
p1 = EVAL(list1); |
125 |
|
|
for (tp2 = p2 = list2; p2 != last; p1 = EVAL(l2)) { |
126 |
|
|
p2 = *EVAL(p2); |
127 |
|
|
f1 = l2; |
128 |
|
|
f2 = l1 = list1 + (p2 - list2); |
129 |
|
|
if (p2 != last) |
130 |
|
|
p2 = *EVAL(p2); |
131 |
|
|
l2 = list1 + (p2 - list2); |
132 |
|
|
while (f1 < l1 && f2 < l2) { |
133 |
|
|
if ((*cmp)(f1, f2) <= 0) { |
134 |
|
|
q = f2; |
135 |
|
|
b = f1, t = l1; |
136 |
|
|
sense = -1; |
137 |
|
|
} else { |
138 |
|
|
q = f1; |
139 |
|
|
b = f2, t = l2; |
140 |
|
|
sense = 0; |
141 |
|
|
} |
142 |
|
|
if (!big) { /* here i = 0 */ |
143 |
|
|
while ((b += size) < t && cmp(q, b) >sense) |
144 |
|
|
if (++i == 6) { |
145 |
|
|
big = 1; |
146 |
|
|
goto EXPONENTIAL; |
147 |
|
|
} |
148 |
|
|
} else { |
149 |
|
|
EXPONENTIAL: for (i = size; ; i <<= 1) |
150 |
|
|
if ((p = (b + i)) >= t) { |
151 |
|
|
if ((p = t - size) > b && |
152 |
|
|
(*cmp)(q, p) <= sense) |
153 |
|
|
t = p; |
154 |
|
|
else |
155 |
|
|
b = p; |
156 |
|
|
break; |
157 |
|
|
} else if ((*cmp)(q, p) <= sense) { |
158 |
|
|
t = p; |
159 |
|
|
if (i == size) |
160 |
|
|
big = 0; |
161 |
|
|
goto FASTCASE; |
162 |
|
|
} else |
163 |
|
|
b = p; |
164 |
|
|
while (t > b+size) { |
165 |
|
|
i = (((t - b) / size) >> 1) * size; |
166 |
|
|
if ((*cmp)(q, p = b + i) <= sense) |
167 |
|
|
t = p; |
168 |
|
|
else |
169 |
|
|
b = p; |
170 |
|
|
} |
171 |
|
|
goto COPY; |
172 |
|
|
FASTCASE: while (i > size) |
173 |
|
|
if ((*cmp)(q, |
174 |
|
|
p = b + (i >>= 1)) <= sense) |
175 |
|
|
t = p; |
176 |
|
|
else |
177 |
|
|
b = p; |
178 |
|
|
COPY: b = t; |
179 |
|
|
} |
180 |
|
|
i = size; |
181 |
|
|
if (q == f1) { |
182 |
|
|
if (iflag) { |
183 |
|
|
ICOPY_LIST(f2, tp2, b); |
184 |
|
|
ICOPY_ELT(f1, tp2, i); |
185 |
|
|
} else { |
186 |
|
|
CCOPY_LIST(f2, tp2, b); |
187 |
|
|
CCOPY_ELT(f1, tp2, i); |
188 |
|
|
} |
189 |
|
|
} else { |
190 |
|
|
if (iflag) { |
191 |
|
|
ICOPY_LIST(f1, tp2, b); |
192 |
|
|
ICOPY_ELT(f2, tp2, i); |
193 |
|
|
} else { |
194 |
|
|
CCOPY_LIST(f1, tp2, b); |
195 |
|
|
CCOPY_ELT(f2, tp2, i); |
196 |
|
|
} |
197 |
|
|
} |
198 |
|
|
} |
199 |
|
|
if (f2 < l2) { |
200 |
|
|
if (iflag) |
201 |
|
|
ICOPY_LIST(f2, tp2, l2); |
202 |
|
|
else |
203 |
|
|
CCOPY_LIST(f2, tp2, l2); |
204 |
|
|
} else if (f1 < l1) { |
205 |
|
|
if (iflag) |
206 |
|
|
ICOPY_LIST(f1, tp2, l1); |
207 |
|
|
else |
208 |
|
|
CCOPY_LIST(f1, tp2, l1); |
209 |
|
|
} |
210 |
|
|
*p1 = l2; |
211 |
|
|
} |
212 |
|
|
tp2 = list1; /* swap list1, list2 */ |
213 |
|
|
list1 = list2; |
214 |
|
|
list2 = tp2; |
215 |
|
|
last = list2 + nmemb*size; |
216 |
|
|
} |
217 |
|
|
if (base == list2) { |
218 |
|
|
memmove(list2, list1, nmemb*size); |
219 |
|
|
list2 = list1; |
220 |
|
|
} |
221 |
|
|
free(list2); |
222 |
|
|
return (0); |
223 |
|
|
} |
224 |
|
|
|
225 |
|
|
#define swap(a, b) { \ |
226 |
|
|
s = b; \ |
227 |
|
|
i = size; \ |
228 |
|
|
do { \ |
229 |
|
|
tmp = *a; *a++ = *s; *s++ = tmp; \ |
230 |
|
|
} while (--i); \ |
231 |
|
|
a -= size; \ |
232 |
|
|
} |
233 |
|
|
#define reverse(bot, top) { \ |
234 |
|
|
s = top; \ |
235 |
|
|
do { \ |
236 |
|
|
i = size; \ |
237 |
|
|
do { \ |
238 |
|
|
tmp = *bot; *bot++ = *s; *s++ = tmp; \ |
239 |
|
|
} while (--i); \ |
240 |
|
|
s -= size2; \ |
241 |
|
|
} while(bot < s); \ |
242 |
|
|
} |
243 |
|
|
|
244 |
|
|
/* |
245 |
|
|
* Optional hybrid natural/pairwise first pass. Eats up list1 in runs of |
246 |
|
|
* increasing order, list2 in a corresponding linked list. Checks for runs |
247 |
|
|
* when THRESHOLD/2 pairs compare with same sense. (Only used when NATURAL |
248 |
|
|
* is defined. Otherwise simple pairwise merging is used.) |
249 |
|
|
*/ |
250 |
|
|
void |
251 |
|
|
setup(u_char *list1, u_char *list2, size_t n, size_t size, |
252 |
|
|
int (*cmp)(const void *, const void *)) |
253 |
|
|
{ |
254 |
|
|
int i, length, size2, sense; |
255 |
|
|
u_char tmp, *f1, *f2, *s, *l2, *last, *p2; |
256 |
|
|
|
257 |
|
|
size2 = size*2; |
258 |
|
|
if (n <= 5) { |
259 |
|
|
insertionsort(list1, n, size, cmp); |
260 |
|
|
*EVAL(list2) = (u_char*) list2 + n*size; |
261 |
|
|
return; |
262 |
|
|
} |
263 |
|
|
/* |
264 |
|
|
* Avoid running pointers out of bounds; limit n to evens |
265 |
|
|
* for simplicity. |
266 |
|
|
*/ |
267 |
|
|
i = 4 + (n & 1); |
268 |
|
|
insertionsort(list1 + (n - i) * size, i, size, cmp); |
269 |
|
|
last = list1 + size * (n - i); |
270 |
|
|
*EVAL(list2 + (last - list1)) = list2 + n * size; |
271 |
|
|
|
272 |
|
|
#ifdef NATURAL |
273 |
|
|
p2 = list2; |
274 |
|
|
f1 = list1; |
275 |
|
|
sense = (cmp(f1, f1 + size) > 0); |
276 |
|
|
for (; f1 < last; sense = !sense) { |
277 |
|
|
length = 2; |
278 |
|
|
/* Find pairs with same sense. */ |
279 |
|
|
for (f2 = f1 + size2; f2 < last; f2 += size2) { |
280 |
|
|
if ((cmp(f2, f2+ size) > 0) != sense) |
281 |
|
|
break; |
282 |
|
|
length += 2; |
283 |
|
|
} |
284 |
|
|
if (length < THRESHOLD) { /* Pairwise merge */ |
285 |
|
|
do { |
286 |
|
|
p2 = *EVAL(p2) = f1 + size2 - list1 + list2; |
287 |
|
|
if (sense > 0) |
288 |
|
|
swap (f1, f1 + size); |
289 |
|
|
} while ((f1 += size2) < f2); |
290 |
|
|
} else { /* Natural merge */ |
291 |
|
|
l2 = f2; |
292 |
|
|
for (f2 = f1 + size2; f2 < l2; f2 += size2) { |
293 |
|
|
if ((cmp(f2-size, f2) > 0) != sense) { |
294 |
|
|
p2 = *EVAL(p2) = f2 - list1 + list2; |
295 |
|
|
if (sense > 0) |
296 |
|
|
reverse(f1, f2-size); |
297 |
|
|
f1 = f2; |
298 |
|
|
} |
299 |
|
|
} |
300 |
|
|
if (sense > 0) |
301 |
|
|
reverse (f1, f2-size); |
302 |
|
|
f1 = f2; |
303 |
|
|
if (f2 < last || cmp(f2 - size, f2) > 0) |
304 |
|
|
p2 = *EVAL(p2) = f2 - list1 + list2; |
305 |
|
|
else |
306 |
|
|
p2 = *EVAL(p2) = list2 + n*size; |
307 |
|
|
} |
308 |
|
|
} |
309 |
|
|
#else /* pairwise merge only. */ |
310 |
|
|
for (f1 = list1, p2 = list2; f1 < last; f1 += size2) { |
311 |
|
|
p2 = *EVAL(p2) = p2 + size2; |
312 |
|
|
if (cmp (f1, f1 + size) > 0) |
313 |
|
|
swap(f1, f1 + size); |
314 |
|
|
} |
315 |
|
|
#endif /* NATURAL */ |
316 |
|
|
} |
317 |
|
|
|
318 |
|
|
/* |
319 |
|
|
* This is to avoid out-of-bounds addresses in sorting the |
320 |
|
|
* last 4 elements. |
321 |
|
|
*/ |
322 |
|
|
static void |
323 |
|
|
insertionsort(u_char *a, size_t n, size_t size, |
324 |
|
|
int (*cmp)(const void *, const void *)) |
325 |
|
|
{ |
326 |
|
|
u_char *ai, *s, *t, *u, tmp; |
327 |
|
|
int i; |
328 |
|
|
|
329 |
|
|
for (ai = a+size; --n >= 1; ai += size) |
330 |
|
|
for (t = ai; t > a; t -= size) { |
331 |
|
|
u = t - size; |
332 |
|
|
if (cmp(u, t) <= 0) |
333 |
|
|
break; |
334 |
|
|
swap(u, t); |
335 |
|
|
} |
336 |
|
|
} |