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1/*-
2 * Copyright (c) 1990, 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 and by Dan Bernstein at New York University,
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. Neither the name of the University nor the names of its contributors
17 * may be used to endorse or promote products derived from this software
18 * without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30 * SUCH DAMAGE.
31 */
32
33#if defined(LIBC_SCCS) && !defined(lint)
34static char *rcsid = "$OpenBSD: radixsort.c,v 1.6 2003/06/02 20:18:38 millert Exp $";
35#endif /* LIBC_SCCS and not lint */
36
37/*
38 * Radixsort routines.
39 *
40 * Program r_sort_a() is unstable but uses O(logN) extra memory for a stack.
41 * Use radixsort(a, n, trace, endchar) for this case.
42 *
43 * For stable sorting (using N extra pointers) use sradixsort(), which calls
44 * r_sort_b().
45 *
46 * For a description of this code, see D. McIlroy, P. McIlroy, K. Bostic,
47 * "Engineering Radix Sort".
48 */
49
50#include <sys/types.h>
51#include <stdlib.h>
52#include <errno.h>
53
54typedef struct {
55 const u_char **sa;
56 int sn, si;
57} stack;
58
59static __inline void simplesort
60(const u_char **, int, int, const u_char *, u_int);
61static void r_sort_a(const u_char **, int, int, const u_char *, u_int);
62static void r_sort_b(const u_char **,
63 const u_char **, int, int, const u_char *, u_int);
64
65#define THRESHOLD 20 /* Divert to simplesort(). */
66#define SIZE 512 /* Default stack size. */
67
68#define SETUP { \
69 if (tab == NULL) { \
70 tr = tr0; \
71 for (c = 0; c < endch; c++) \
72 tr0[c] = c + 1; \
73 tr0[c] = 0; \
74 for (c++; c < 256; c++) \
75 tr0[c] = c; \
76 endch = 0; \
77 } else { \
78 endch = tab[endch]; \
79 tr = tab; \
80 if (endch != 0 && endch != 255) { \
81 errno = EINVAL; \
82 return (-1); \
83 } \
84 } \
85}
86
87int
88radixsort(a, n, tab, endch)
89 const u_char **a, *tab;
90 int n;
91 u_int endch;
92{
93 const u_char *tr;
94 int c;
95 u_char tr0[256];
96
97 SETUP;
98 r_sort_a(a, n, 0, tr, endch);
99 return (0);
100}
101
102int
103sradixsort(a, n, tab, endch)
104 const u_char **a, *tab;
105 int n;
106 u_int endch;
107{
108 const u_char *tr, **ta;
109 int c;
110 u_char tr0[256];
111
112 SETUP;
113 if (n < THRESHOLD)
114 simplesort(a, n, 0, tr, endch);
115 else {
116 if ((ta = malloc(n * sizeof(a))) == NULL)
117 return (-1);
118 r_sort_b(a, ta, n, 0, tr, endch);
119 free(ta);
120 }
121 return (0);
122}
123
124#define empty(s) (s >= sp)
125#define pop(a, n, i) a = (--sp)->sa, n = sp->sn, i = sp->si
126#define push(a, n, i) sp->sa = a, sp->sn = n, (sp++)->si = i
127#define swap(a, b, t) t = a, a = b, b = t
128
129/* Unstable, in-place sort. */
130void
131r_sort_a(a, n, i, tr, endch)
132 const u_char **a;
133 int n, i;
134 const u_char *tr;
135 u_int endch;
136{
137 static int count[256], nc, bmin;
138 register int c;
139 register const u_char **ak, *r;
140 stack s[SIZE], *sp, *sp0, *sp1, temp;
141 int *cp, bigc;
142 const u_char **an, *t, **aj, **top[256];
143
144 /* Set up stack. */
145 sp = s;
146 push(a, n, i);
147 while (!empty(s)) {
148 pop(a, n, i);
149 if (n < THRESHOLD) {
150 simplesort(a, n, i, tr, endch);
151 continue;
152 }
153 an = a + n;
154
155 /* Make character histogram. */
156 if (nc == 0) {
157 bmin = 255; /* First occupied bin, excluding eos. */
158 for (ak = a; ak < an;) {
159 c = tr[(*ak++)[i]];
160 if (++count[c] == 1 && c != endch) {
161 if (c < bmin)
162 bmin = c;
163 nc++;
164 }
165 }
166 if (sp + nc > s + SIZE) { /* Get more stack. */
167 r_sort_a(a, n, i, tr, endch);
168 continue;
169 }
170 }
171
172 /*
173 * Set top[]; push incompletely sorted bins onto stack.
174 * top[] = pointers to last out-of-place element in bins.
175 * count[] = counts of elements in bins.
176 * Before permuting: top[c-1] + count[c] = top[c];
177 * during deal: top[c] counts down to top[c-1].
178 */
179 sp0 = sp1 = sp; /* Stack position of biggest bin. */
180 bigc = 2; /* Size of biggest bin. */
181 if (endch == 0) /* Special case: set top[eos]. */
182 top[0] = ak = a + count[0];
183 else {
184 ak = a;
185 top[255] = an;
186 }
187 for (cp = count + bmin; nc > 0; cp++) {
188 while (*cp == 0) /* Find next non-empty pile. */
189 cp++;
190 if (*cp > 1) {
191 if (*cp > bigc) {
192 bigc = *cp;
193 sp1 = sp;
194 }
195 push(ak, *cp, i+1);
196 }
197 top[cp-count] = ak += *cp;
198 nc--;
199 }
200 swap(*sp0, *sp1, temp); /* Play it safe -- biggest bin last. */
201
202 /*
203 * Permute misplacements home. Already home: everything
204 * before aj, and in bin[c], items from top[c] on.
205 * Inner loop:
206 * r = next element to put in place;
207 * ak = top[r[i]] = location to put the next element.
208 * aj = bottom of 1st disordered bin.
209 * Outer loop:
210 * Once the 1st disordered bin is done, ie. aj >= ak,
211 * aj<-aj + count[c] connects the bins in a linked list;
212 * reset count[c].
213 */
214 for (aj = a; aj < an; *aj = r, aj += count[c], count[c] = 0)
215 for (r = *aj; aj < (ak = --top[c = tr[r[i]]]);)
216 swap(*ak, r, t);
217 }
218}
219
220/* Stable sort, requiring additional memory. */
221void
222r_sort_b(a, ta, n, i, tr, endch)
223 const u_char **a, **ta;
224 int n, i;
225 const u_char *tr;
226 u_int endch;
227{
228 static int count[256], nc, bmin;
229 register int c;
230 register const u_char **ak, **ai;
231 stack s[512], *sp, *sp0, *sp1, temp;
232 const u_char **top[256];
233 int *cp, bigc;
234
235 sp = s;
236 push(a, n, i);
237 while (!empty(s)) {
238 pop(a, n, i);
239 if (n < THRESHOLD) {
240 simplesort(a, n, i, tr, endch);
241 continue;
242 }
243
244 if (nc == 0) {
245 bmin = 255;
246 for (ak = a + n; --ak >= a;) {
247 c = tr[(*ak)[i]];
248 if (++count[c] == 1 && c != endch) {
249 if (c < bmin)
250 bmin = c;
251 nc++;
252 }
253 }
254 if (sp + nc > s + SIZE) {
255 r_sort_b(a, ta, n, i, tr, endch);
256 continue;
257 }
258 }
259
260 sp0 = sp1 = sp;
261 bigc = 2;
262 if (endch == 0) {
263 top[0] = ak = a + count[0];
264 count[0] = 0;
265 } else {
266 ak = a;
267 top[255] = a + n;
268 count[255] = 0;
269 }
270 for (cp = count + bmin; nc > 0; cp++) {
271 while (*cp == 0)
272 cp++;
273 if ((c = *cp) > 1) {
274 if (c > bigc) {
275 bigc = c;
276 sp1 = sp;
277 }
278 push(ak, c, i+1);
279 }
280 top[cp-count] = ak += c;
281 *cp = 0; /* Reset count[]. */
282 nc--;
283 }
284 swap(*sp0, *sp1, temp);
285
286 for (ak = ta + n, ai = a+n; ak > ta;) /* Copy to temp. */
287 *--ak = *--ai;
288 for (ak = ta+n; --ak >= ta;) /* Deal to piles. */
289 *--top[tr[(*ak)[i]]] = *ak;
290 }
291}
292
293static __inline void
294simplesort(a, n, b, tr, endch) /* insertion sort */
295 register const u_char **a;
296 int n, b;
297 register const u_char *tr;
298 u_int endch;
299{
300 register u_char ch;
301 const u_char **ak, **ai, *s, *t;
302
303 for (ak = a+1; --n >= 1; ak++)
304 for (ai = ak; ai > a; ai--) {
305 for (s = ai[0] + b, t = ai[-1] + b;
306 (ch = tr[*s]) != endch; s++, t++)
307 if (ch != tr[*t])
308 break;
309 if (ch >= tr[*t])
310 break;
311 swap(ai[0], ai[-1], s);
312 }
313}