1*59c8e88eSDag-Erling Smørgrav /* $OpenBSD: merge.c,v 1.10 2015/06/21 03:20:56 millert Exp $ */
2*59c8e88eSDag-Erling Smørgrav /*-
3*59c8e88eSDag-Erling Smørgrav * Copyright (c) 1992, 1993
4*59c8e88eSDag-Erling Smørgrav * The Regents of the University of California. All rights reserved.
5*59c8e88eSDag-Erling Smørgrav *
6*59c8e88eSDag-Erling Smørgrav * This code is derived from software contributed to Berkeley by
7*59c8e88eSDag-Erling Smørgrav * Peter McIlroy.
8*59c8e88eSDag-Erling Smørgrav *
9*59c8e88eSDag-Erling Smørgrav * Redistribution and use in source and binary forms, with or without
10*59c8e88eSDag-Erling Smørgrav * modification, are permitted provided that the following conditions
11*59c8e88eSDag-Erling Smørgrav * are met:
12*59c8e88eSDag-Erling Smørgrav * 1. Redistributions of source code must retain the above copyright
13*59c8e88eSDag-Erling Smørgrav * notice, this list of conditions and the following disclaimer.
14*59c8e88eSDag-Erling Smørgrav * 2. Redistributions in binary form must reproduce the above copyright
15*59c8e88eSDag-Erling Smørgrav * notice, this list of conditions and the following disclaimer in the
16*59c8e88eSDag-Erling Smørgrav * documentation and/or other materials provided with the distribution.
17*59c8e88eSDag-Erling Smørgrav * 3. Neither the name of the University nor the names of its contributors
18*59c8e88eSDag-Erling Smørgrav * may be used to endorse or promote products derived from this software
19*59c8e88eSDag-Erling Smørgrav * without specific prior written permission.
20*59c8e88eSDag-Erling Smørgrav *
21*59c8e88eSDag-Erling Smørgrav * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
22*59c8e88eSDag-Erling Smørgrav * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
23*59c8e88eSDag-Erling Smørgrav * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
24*59c8e88eSDag-Erling Smørgrav * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
25*59c8e88eSDag-Erling Smørgrav * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
26*59c8e88eSDag-Erling Smørgrav * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
27*59c8e88eSDag-Erling Smørgrav * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
28*59c8e88eSDag-Erling Smørgrav * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
29*59c8e88eSDag-Erling Smørgrav * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
30*59c8e88eSDag-Erling Smørgrav * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
31*59c8e88eSDag-Erling Smørgrav * SUCH DAMAGE.
32*59c8e88eSDag-Erling Smørgrav */
33*59c8e88eSDag-Erling Smørgrav
34*59c8e88eSDag-Erling Smørgrav /*
35*59c8e88eSDag-Erling Smørgrav * Hybrid exponential search/linear search merge sort with hybrid
36*59c8e88eSDag-Erling Smørgrav * natural/pairwise first pass. Requires about .3% more comparisons
37*59c8e88eSDag-Erling Smørgrav * for random data than LSMS with pairwise first pass alone.
38*59c8e88eSDag-Erling Smørgrav * It works for objects as small as two bytes.
39*59c8e88eSDag-Erling Smørgrav */
40*59c8e88eSDag-Erling Smørgrav
41*59c8e88eSDag-Erling Smørgrav #define NATURAL
42*59c8e88eSDag-Erling Smørgrav #define THRESHOLD 16 /* Best choice for natural merge cut-off. */
43*59c8e88eSDag-Erling Smørgrav
44*59c8e88eSDag-Erling Smørgrav /* #define NATURAL to get hybrid natural merge.
45*59c8e88eSDag-Erling Smørgrav * (The default is pairwise merging.)
46*59c8e88eSDag-Erling Smørgrav */
47*59c8e88eSDag-Erling Smørgrav
48*59c8e88eSDag-Erling Smørgrav #include <sys/types.h>
49*59c8e88eSDag-Erling Smørgrav
50*59c8e88eSDag-Erling Smørgrav #include <errno.h>
51*59c8e88eSDag-Erling Smørgrav #include <stdlib.h>
52*59c8e88eSDag-Erling Smørgrav #include <string.h>
53*59c8e88eSDag-Erling Smørgrav
54*59c8e88eSDag-Erling Smørgrav static void setup(u_char *list1, u_char *list2, size_t n, size_t size,
55*59c8e88eSDag-Erling Smørgrav int (*cmp)(const void *, const void *));
56*59c8e88eSDag-Erling Smørgrav static void insertionsort(u_char *a, size_t n, size_t size,
57*59c8e88eSDag-Erling Smørgrav int (*cmp)(const void *, const void *));
58*59c8e88eSDag-Erling Smørgrav
59*59c8e88eSDag-Erling Smørgrav #define ISIZE sizeof(int)
60*59c8e88eSDag-Erling Smørgrav #define PSIZE sizeof(u_char *)
61*59c8e88eSDag-Erling Smørgrav #define ICOPY_LIST(src, dst, last) \
62*59c8e88eSDag-Erling Smørgrav do \
63*59c8e88eSDag-Erling Smørgrav *(int*)dst = *(int*)src, src += ISIZE, dst += ISIZE; \
64*59c8e88eSDag-Erling Smørgrav while(src < last)
65*59c8e88eSDag-Erling Smørgrav #define ICOPY_ELT(src, dst, i) \
66*59c8e88eSDag-Erling Smørgrav do \
67*59c8e88eSDag-Erling Smørgrav *(int*) dst = *(int*) src, src += ISIZE, dst += ISIZE; \
68*59c8e88eSDag-Erling Smørgrav while (i -= ISIZE)
69*59c8e88eSDag-Erling Smørgrav
70*59c8e88eSDag-Erling Smørgrav #define CCOPY_LIST(src, dst, last) \
71*59c8e88eSDag-Erling Smørgrav do \
72*59c8e88eSDag-Erling Smørgrav *dst++ = *src++; \
73*59c8e88eSDag-Erling Smørgrav while (src < last)
74*59c8e88eSDag-Erling Smørgrav #define CCOPY_ELT(src, dst, i) \
75*59c8e88eSDag-Erling Smørgrav do \
76*59c8e88eSDag-Erling Smørgrav *dst++ = *src++; \
77*59c8e88eSDag-Erling Smørgrav while (i -= 1)
78*59c8e88eSDag-Erling Smørgrav
79*59c8e88eSDag-Erling Smørgrav /*
80*59c8e88eSDag-Erling Smørgrav * Find the next possible pointer head. (Trickery for forcing an array
81*59c8e88eSDag-Erling Smørgrav * to do double duty as a linked list when objects do not align with word
82*59c8e88eSDag-Erling Smørgrav * boundaries.
83*59c8e88eSDag-Erling Smørgrav */
84*59c8e88eSDag-Erling Smørgrav /* Assumption: PSIZE is a power of 2. */
85*59c8e88eSDag-Erling Smørgrav #define EVAL(p) (u_char **) \
86*59c8e88eSDag-Erling Smørgrav ((u_char *)0 + \
87*59c8e88eSDag-Erling Smørgrav (((u_char *)p + PSIZE - 1 - (u_char *) 0) & ~(PSIZE - 1)))
88*59c8e88eSDag-Erling Smørgrav
89*59c8e88eSDag-Erling Smørgrav /*
90*59c8e88eSDag-Erling Smørgrav * Arguments are as for qsort.
91*59c8e88eSDag-Erling Smørgrav */
92*59c8e88eSDag-Erling Smørgrav int
mergesort(void * base,size_t nmemb,size_t size,int (* cmp)(const void *,const void *))93*59c8e88eSDag-Erling Smørgrav mergesort(void *base, size_t nmemb, size_t size,
94*59c8e88eSDag-Erling Smørgrav int (*cmp)(const void *, const void *))
95*59c8e88eSDag-Erling Smørgrav {
96*59c8e88eSDag-Erling Smørgrav int i, sense;
97*59c8e88eSDag-Erling Smørgrav int big, iflag;
98*59c8e88eSDag-Erling Smørgrav u_char *f1, *f2, *t, *b, *tp2, *q, *l1, *l2;
99*59c8e88eSDag-Erling Smørgrav u_char *list2, *list1, *p2, *p, *last, **p1;
100*59c8e88eSDag-Erling Smørgrav
101*59c8e88eSDag-Erling Smørgrav if (size < PSIZE / 2) { /* Pointers must fit into 2 * size. */
102*59c8e88eSDag-Erling Smørgrav errno = EINVAL;
103*59c8e88eSDag-Erling Smørgrav return (-1);
104*59c8e88eSDag-Erling Smørgrav }
105*59c8e88eSDag-Erling Smørgrav
106*59c8e88eSDag-Erling Smørgrav if (nmemb == 0)
107*59c8e88eSDag-Erling Smørgrav return (0);
108*59c8e88eSDag-Erling Smørgrav
109*59c8e88eSDag-Erling Smørgrav /*
110*59c8e88eSDag-Erling Smørgrav * XXX
111*59c8e88eSDag-Erling Smørgrav * Stupid subtraction for the Cray.
112*59c8e88eSDag-Erling Smørgrav */
113*59c8e88eSDag-Erling Smørgrav iflag = 0;
114*59c8e88eSDag-Erling Smørgrav if (!(size % ISIZE) && !(((char *)base - (char *)0) % ISIZE))
115*59c8e88eSDag-Erling Smørgrav iflag = 1;
116*59c8e88eSDag-Erling Smørgrav
117*59c8e88eSDag-Erling Smørgrav if ((list2 = malloc(nmemb * size + PSIZE)) == NULL)
118*59c8e88eSDag-Erling Smørgrav return (-1);
119*59c8e88eSDag-Erling Smørgrav
120*59c8e88eSDag-Erling Smørgrav list1 = base;
121*59c8e88eSDag-Erling Smørgrav setup(list1, list2, nmemb, size, cmp);
122*59c8e88eSDag-Erling Smørgrav last = list2 + nmemb * size;
123*59c8e88eSDag-Erling Smørgrav i = big = 0;
124*59c8e88eSDag-Erling Smørgrav while (*EVAL(list2) != last) {
125*59c8e88eSDag-Erling Smørgrav l2 = list1;
126*59c8e88eSDag-Erling Smørgrav p1 = EVAL(list1);
127*59c8e88eSDag-Erling Smørgrav for (tp2 = p2 = list2; p2 != last; p1 = EVAL(l2)) {
128*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2);
129*59c8e88eSDag-Erling Smørgrav f1 = l2;
130*59c8e88eSDag-Erling Smørgrav f2 = l1 = list1 + (p2 - list2);
131*59c8e88eSDag-Erling Smørgrav if (p2 != last)
132*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2);
133*59c8e88eSDag-Erling Smørgrav l2 = list1 + (p2 - list2);
134*59c8e88eSDag-Erling Smørgrav while (f1 < l1 && f2 < l2) {
135*59c8e88eSDag-Erling Smørgrav if ((*cmp)(f1, f2) <= 0) {
136*59c8e88eSDag-Erling Smørgrav q = f2;
137*59c8e88eSDag-Erling Smørgrav b = f1, t = l1;
138*59c8e88eSDag-Erling Smørgrav sense = -1;
139*59c8e88eSDag-Erling Smørgrav } else {
140*59c8e88eSDag-Erling Smørgrav q = f1;
141*59c8e88eSDag-Erling Smørgrav b = f2, t = l2;
142*59c8e88eSDag-Erling Smørgrav sense = 0;
143*59c8e88eSDag-Erling Smørgrav }
144*59c8e88eSDag-Erling Smørgrav if (!big) { /* here i = 0 */
145*59c8e88eSDag-Erling Smørgrav while ((b += size) < t && cmp(q, b) >sense)
146*59c8e88eSDag-Erling Smørgrav if (++i == 6) {
147*59c8e88eSDag-Erling Smørgrav big = 1;
148*59c8e88eSDag-Erling Smørgrav goto EXPONENTIAL;
149*59c8e88eSDag-Erling Smørgrav }
150*59c8e88eSDag-Erling Smørgrav } else {
151*59c8e88eSDag-Erling Smørgrav EXPONENTIAL: for (i = size; ; i <<= 1)
152*59c8e88eSDag-Erling Smørgrav if ((p = (b + i)) >= t) {
153*59c8e88eSDag-Erling Smørgrav if ((p = t - size) > b &&
154*59c8e88eSDag-Erling Smørgrav (*cmp)(q, p) <= sense)
155*59c8e88eSDag-Erling Smørgrav t = p;
156*59c8e88eSDag-Erling Smørgrav else
157*59c8e88eSDag-Erling Smørgrav b = p;
158*59c8e88eSDag-Erling Smørgrav break;
159*59c8e88eSDag-Erling Smørgrav } else if ((*cmp)(q, p) <= sense) {
160*59c8e88eSDag-Erling Smørgrav t = p;
161*59c8e88eSDag-Erling Smørgrav if (i == size)
162*59c8e88eSDag-Erling Smørgrav big = 0;
163*59c8e88eSDag-Erling Smørgrav goto FASTCASE;
164*59c8e88eSDag-Erling Smørgrav } else
165*59c8e88eSDag-Erling Smørgrav b = p;
166*59c8e88eSDag-Erling Smørgrav while (t > b+size) {
167*59c8e88eSDag-Erling Smørgrav i = (((t - b) / size) >> 1) * size;
168*59c8e88eSDag-Erling Smørgrav if ((*cmp)(q, p = b + i) <= sense)
169*59c8e88eSDag-Erling Smørgrav t = p;
170*59c8e88eSDag-Erling Smørgrav else
171*59c8e88eSDag-Erling Smørgrav b = p;
172*59c8e88eSDag-Erling Smørgrav }
173*59c8e88eSDag-Erling Smørgrav goto COPY;
174*59c8e88eSDag-Erling Smørgrav FASTCASE: while (i > size)
175*59c8e88eSDag-Erling Smørgrav if ((*cmp)(q,
176*59c8e88eSDag-Erling Smørgrav p = b + (i >>= 1)) <= sense)
177*59c8e88eSDag-Erling Smørgrav t = p;
178*59c8e88eSDag-Erling Smørgrav else
179*59c8e88eSDag-Erling Smørgrav b = p;
180*59c8e88eSDag-Erling Smørgrav COPY: b = t;
181*59c8e88eSDag-Erling Smørgrav }
182*59c8e88eSDag-Erling Smørgrav i = size;
183*59c8e88eSDag-Erling Smørgrav if (q == f1) {
184*59c8e88eSDag-Erling Smørgrav if (iflag) {
185*59c8e88eSDag-Erling Smørgrav ICOPY_LIST(f2, tp2, b);
186*59c8e88eSDag-Erling Smørgrav ICOPY_ELT(f1, tp2, i);
187*59c8e88eSDag-Erling Smørgrav } else {
188*59c8e88eSDag-Erling Smørgrav CCOPY_LIST(f2, tp2, b);
189*59c8e88eSDag-Erling Smørgrav CCOPY_ELT(f1, tp2, i);
190*59c8e88eSDag-Erling Smørgrav }
191*59c8e88eSDag-Erling Smørgrav } else {
192*59c8e88eSDag-Erling Smørgrav if (iflag) {
193*59c8e88eSDag-Erling Smørgrav ICOPY_LIST(f1, tp2, b);
194*59c8e88eSDag-Erling Smørgrav ICOPY_ELT(f2, tp2, i);
195*59c8e88eSDag-Erling Smørgrav } else {
196*59c8e88eSDag-Erling Smørgrav CCOPY_LIST(f1, tp2, b);
197*59c8e88eSDag-Erling Smørgrav CCOPY_ELT(f2, tp2, i);
198*59c8e88eSDag-Erling Smørgrav }
199*59c8e88eSDag-Erling Smørgrav }
200*59c8e88eSDag-Erling Smørgrav }
201*59c8e88eSDag-Erling Smørgrav if (f2 < l2) {
202*59c8e88eSDag-Erling Smørgrav if (iflag)
203*59c8e88eSDag-Erling Smørgrav ICOPY_LIST(f2, tp2, l2);
204*59c8e88eSDag-Erling Smørgrav else
205*59c8e88eSDag-Erling Smørgrav CCOPY_LIST(f2, tp2, l2);
206*59c8e88eSDag-Erling Smørgrav } else if (f1 < l1) {
207*59c8e88eSDag-Erling Smørgrav if (iflag)
208*59c8e88eSDag-Erling Smørgrav ICOPY_LIST(f1, tp2, l1);
209*59c8e88eSDag-Erling Smørgrav else
210*59c8e88eSDag-Erling Smørgrav CCOPY_LIST(f1, tp2, l1);
211*59c8e88eSDag-Erling Smørgrav }
212*59c8e88eSDag-Erling Smørgrav *p1 = l2;
213*59c8e88eSDag-Erling Smørgrav }
214*59c8e88eSDag-Erling Smørgrav tp2 = list1; /* swap list1, list2 */
215*59c8e88eSDag-Erling Smørgrav list1 = list2;
216*59c8e88eSDag-Erling Smørgrav list2 = tp2;
217*59c8e88eSDag-Erling Smørgrav last = list2 + nmemb*size;
218*59c8e88eSDag-Erling Smørgrav }
219*59c8e88eSDag-Erling Smørgrav if (base == list2) {
220*59c8e88eSDag-Erling Smørgrav memmove(list2, list1, nmemb*size);
221*59c8e88eSDag-Erling Smørgrav list2 = list1;
222*59c8e88eSDag-Erling Smørgrav }
223*59c8e88eSDag-Erling Smørgrav free(list2);
224*59c8e88eSDag-Erling Smørgrav return (0);
225*59c8e88eSDag-Erling Smørgrav }
226*59c8e88eSDag-Erling Smørgrav
227*59c8e88eSDag-Erling Smørgrav #define swap(a, b) { \
228*59c8e88eSDag-Erling Smørgrav s = b; \
229*59c8e88eSDag-Erling Smørgrav i = size; \
230*59c8e88eSDag-Erling Smørgrav do { \
231*59c8e88eSDag-Erling Smørgrav tmp = *a; *a++ = *s; *s++ = tmp; \
232*59c8e88eSDag-Erling Smørgrav } while (--i); \
233*59c8e88eSDag-Erling Smørgrav a -= size; \
234*59c8e88eSDag-Erling Smørgrav }
235*59c8e88eSDag-Erling Smørgrav #define reverse(bot, top) { \
236*59c8e88eSDag-Erling Smørgrav s = top; \
237*59c8e88eSDag-Erling Smørgrav do { \
238*59c8e88eSDag-Erling Smørgrav i = size; \
239*59c8e88eSDag-Erling Smørgrav do { \
240*59c8e88eSDag-Erling Smørgrav tmp = *bot; *bot++ = *s; *s++ = tmp; \
241*59c8e88eSDag-Erling Smørgrav } while (--i); \
242*59c8e88eSDag-Erling Smørgrav s -= size2; \
243*59c8e88eSDag-Erling Smørgrav } while(bot < s); \
244*59c8e88eSDag-Erling Smørgrav }
245*59c8e88eSDag-Erling Smørgrav
246*59c8e88eSDag-Erling Smørgrav /*
247*59c8e88eSDag-Erling Smørgrav * Optional hybrid natural/pairwise first pass. Eats up list1 in runs of
248*59c8e88eSDag-Erling Smørgrav * increasing order, list2 in a corresponding linked list. Checks for runs
249*59c8e88eSDag-Erling Smørgrav * when THRESHOLD/2 pairs compare with same sense. (Only used when NATURAL
250*59c8e88eSDag-Erling Smørgrav * is defined. Otherwise simple pairwise merging is used.)
251*59c8e88eSDag-Erling Smørgrav */
252*59c8e88eSDag-Erling Smørgrav void
setup(u_char * list1,u_char * list2,size_t n,size_t size,int (* cmp)(const void *,const void *))253*59c8e88eSDag-Erling Smørgrav setup(u_char *list1, u_char *list2, size_t n, size_t size,
254*59c8e88eSDag-Erling Smørgrav int (*cmp)(const void *, const void *))
255*59c8e88eSDag-Erling Smørgrav {
256*59c8e88eSDag-Erling Smørgrav int i, length, size2, sense;
257*59c8e88eSDag-Erling Smørgrav u_char tmp, *f1, *f2, *s, *l2, *last, *p2;
258*59c8e88eSDag-Erling Smørgrav
259*59c8e88eSDag-Erling Smørgrav size2 = size*2;
260*59c8e88eSDag-Erling Smørgrav if (n <= 5) {
261*59c8e88eSDag-Erling Smørgrav insertionsort(list1, n, size, cmp);
262*59c8e88eSDag-Erling Smørgrav *EVAL(list2) = (u_char*) list2 + n*size;
263*59c8e88eSDag-Erling Smørgrav return;
264*59c8e88eSDag-Erling Smørgrav }
265*59c8e88eSDag-Erling Smørgrav /*
266*59c8e88eSDag-Erling Smørgrav * Avoid running pointers out of bounds; limit n to evens
267*59c8e88eSDag-Erling Smørgrav * for simplicity.
268*59c8e88eSDag-Erling Smørgrav */
269*59c8e88eSDag-Erling Smørgrav i = 4 + (n & 1);
270*59c8e88eSDag-Erling Smørgrav insertionsort(list1 + (n - i) * size, i, size, cmp);
271*59c8e88eSDag-Erling Smørgrav last = list1 + size * (n - i);
272*59c8e88eSDag-Erling Smørgrav *EVAL(list2 + (last - list1)) = list2 + n * size;
273*59c8e88eSDag-Erling Smørgrav
274*59c8e88eSDag-Erling Smørgrav #ifdef NATURAL
275*59c8e88eSDag-Erling Smørgrav p2 = list2;
276*59c8e88eSDag-Erling Smørgrav f1 = list1;
277*59c8e88eSDag-Erling Smørgrav sense = (cmp(f1, f1 + size) > 0);
278*59c8e88eSDag-Erling Smørgrav for (; f1 < last; sense = !sense) {
279*59c8e88eSDag-Erling Smørgrav length = 2;
280*59c8e88eSDag-Erling Smørgrav /* Find pairs with same sense. */
281*59c8e88eSDag-Erling Smørgrav for (f2 = f1 + size2; f2 < last; f2 += size2) {
282*59c8e88eSDag-Erling Smørgrav if ((cmp(f2, f2+ size) > 0) != sense)
283*59c8e88eSDag-Erling Smørgrav break;
284*59c8e88eSDag-Erling Smørgrav length += 2;
285*59c8e88eSDag-Erling Smørgrav }
286*59c8e88eSDag-Erling Smørgrav if (length < THRESHOLD) { /* Pairwise merge */
287*59c8e88eSDag-Erling Smørgrav do {
288*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2) = f1 + size2 - list1 + list2;
289*59c8e88eSDag-Erling Smørgrav if (sense > 0)
290*59c8e88eSDag-Erling Smørgrav swap (f1, f1 + size);
291*59c8e88eSDag-Erling Smørgrav } while ((f1 += size2) < f2);
292*59c8e88eSDag-Erling Smørgrav } else { /* Natural merge */
293*59c8e88eSDag-Erling Smørgrav l2 = f2;
294*59c8e88eSDag-Erling Smørgrav for (f2 = f1 + size2; f2 < l2; f2 += size2) {
295*59c8e88eSDag-Erling Smørgrav if ((cmp(f2-size, f2) > 0) != sense) {
296*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2) = f2 - list1 + list2;
297*59c8e88eSDag-Erling Smørgrav if (sense > 0)
298*59c8e88eSDag-Erling Smørgrav reverse(f1, f2-size);
299*59c8e88eSDag-Erling Smørgrav f1 = f2;
300*59c8e88eSDag-Erling Smørgrav }
301*59c8e88eSDag-Erling Smørgrav }
302*59c8e88eSDag-Erling Smørgrav if (sense > 0)
303*59c8e88eSDag-Erling Smørgrav reverse (f1, f2-size);
304*59c8e88eSDag-Erling Smørgrav f1 = f2;
305*59c8e88eSDag-Erling Smørgrav if (f2 < last || cmp(f2 - size, f2) > 0)
306*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2) = f2 - list1 + list2;
307*59c8e88eSDag-Erling Smørgrav else
308*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2) = list2 + n*size;
309*59c8e88eSDag-Erling Smørgrav }
310*59c8e88eSDag-Erling Smørgrav }
311*59c8e88eSDag-Erling Smørgrav #else /* pairwise merge only. */
312*59c8e88eSDag-Erling Smørgrav for (f1 = list1, p2 = list2; f1 < last; f1 += size2) {
313*59c8e88eSDag-Erling Smørgrav p2 = *EVAL(p2) = p2 + size2;
314*59c8e88eSDag-Erling Smørgrav if (cmp (f1, f1 + size) > 0)
315*59c8e88eSDag-Erling Smørgrav swap(f1, f1 + size);
316*59c8e88eSDag-Erling Smørgrav }
317*59c8e88eSDag-Erling Smørgrav #endif /* NATURAL */
318*59c8e88eSDag-Erling Smørgrav }
319*59c8e88eSDag-Erling Smørgrav
320*59c8e88eSDag-Erling Smørgrav /*
321*59c8e88eSDag-Erling Smørgrav * This is to avoid out-of-bounds addresses in sorting the
322*59c8e88eSDag-Erling Smørgrav * last 4 elements.
323*59c8e88eSDag-Erling Smørgrav */
324*59c8e88eSDag-Erling Smørgrav static void
insertionsort(u_char * a,size_t n,size_t size,int (* cmp)(const void *,const void *))325*59c8e88eSDag-Erling Smørgrav insertionsort(u_char *a, size_t n, size_t size,
326*59c8e88eSDag-Erling Smørgrav int (*cmp)(const void *, const void *))
327*59c8e88eSDag-Erling Smørgrav {
328*59c8e88eSDag-Erling Smørgrav u_char *ai, *s, *t, *u, tmp;
329*59c8e88eSDag-Erling Smørgrav int i;
330*59c8e88eSDag-Erling Smørgrav
331*59c8e88eSDag-Erling Smørgrav for (ai = a+size; --n >= 1; ai += size)
332*59c8e88eSDag-Erling Smørgrav for (t = ai; t > a; t -= size) {
333*59c8e88eSDag-Erling Smørgrav u = t - size;
334*59c8e88eSDag-Erling Smørgrav if (cmp(u, t) <= 0)
335*59c8e88eSDag-Erling Smørgrav break;
336*59c8e88eSDag-Erling Smørgrav swap(u, t);
337*59c8e88eSDag-Erling Smørgrav }
338*59c8e88eSDag-Erling Smørgrav }
339