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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 1.7 2005/03/30 18:51:49 pat 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(const u_char **a, int n, const u_char *tab, u_int endch)
89{
90 const u_char *tr;
91 int c;
92 u_char tr0[256];
93
94 SETUP;
95 r_sort_a(a, n, 0, tr, endch);
96 return (0);
97}
98
99int
100sradixsort(const u_char **a, int n, const u_char *tab, u_int endch)
101{
102 const u_char *tr, **ta;
103 int c;
104 u_char tr0[256];
105
106 SETUP;
107 if (n < THRESHOLD)
108 simplesort(a, n, 0, tr, endch);
109 else {
110 if ((ta = malloc(n * sizeof(a))) == NULL)
111 return (-1);
112 r_sort_b(a, ta, n, 0, tr, endch);
113 free(ta);
114 }
115 return (0);
116}
117
118#define empty(s) (s >= sp)
119#define pop(a, n, i) a = (--sp)->sa, n = sp->sn, i = sp->si
120#define push(a, n, i) sp->sa = a, sp->sn = n, (sp++)->si = i
121#define swap(a, b, t) t = a, a = b, b = t
122
123/* Unstable, in-place sort. */
124void
125r_sort_a(const u_char **a, int n, int i, const u_char *tr, u_int endch)
126{
127 static int count[256], nc, bmin;
128 int c;
129 const u_char **ak, *r;
130 stack s[SIZE], *sp, *sp0, *sp1, temp;
131 int *cp, bigc;
132 const u_char **an, *t, **aj, **top[256];
133
134 /* Set up stack. */
135 sp = s;
136 push(a, n, i);
137 while (!empty(s)) {
138 pop(a, n, i);
139 if (n < THRESHOLD) {
140 simplesort(a, n, i, tr, endch);
141 continue;
142 }
143 an = a + n;
144
145 /* Make character histogram. */
146 if (nc == 0) {
147 bmin = 255; /* First occupied bin, excluding eos. */
148 for (ak = a; ak < an;) {
149 c = tr[(*ak++)[i]];
150 if (++count[c] == 1 && c != endch) {
151 if (c < bmin)
152 bmin = c;
153 nc++;
154 }
155 }
156 if (sp + nc > s + SIZE) { /* Get more stack. */
157 r_sort_a(a, n, i, tr, endch);
158 continue;
159 }
160 }
161
162 /*
163 * Set top[]; push incompletely sorted bins onto stack.
164 * top[] = pointers to last out-of-place element in bins.
165 * count[] = counts of elements in bins.
166 * Before permuting: top[c-1] + count[c] = top[c];
167 * during deal: top[c] counts down to top[c-1].
168 */
169 sp0 = sp1 = sp; /* Stack position of biggest bin. */
170 bigc = 2; /* Size of biggest bin. */
171 if (endch == 0) /* Special case: set top[eos]. */
172 top[0] = ak = a + count[0];
173 else {
174 ak = a;
175 top[255] = an;
176 }
177 for (cp = count + bmin; nc > 0; cp++) {
178 while (*cp == 0) /* Find next non-empty pile. */
179 cp++;
180 if (*cp > 1) {
181 if (*cp > bigc) {
182 bigc = *cp;
183 sp1 = sp;
184 }
185 push(ak, *cp, i+1);
186 }
187 top[cp-count] = ak += *cp;
188 nc--;
189 }
190 swap(*sp0, *sp1, temp); /* Play it safe -- biggest bin last. */
191
192 /*
193 * Permute misplacements home. Already home: everything
194 * before aj, and in bin[c], items from top[c] on.
195 * Inner loop:
196 * r = next element to put in place;
197 * ak = top[r[i]] = location to put the next element.
198 * aj = bottom of 1st disordered bin.
199 * Outer loop:
200 * Once the 1st disordered bin is done, ie. aj >= ak,
201 * aj<-aj + count[c] connects the bins in a linked list;
202 * reset count[c].
203 */
204 for (aj = a; aj < an; *aj = r, aj += count[c], count[c] = 0)
205 for (r = *aj; aj < (ak = --top[c = tr[r[i]]]);)
206 swap(*ak, r, t);
207 }
208}
209
210/* Stable sort, requiring additional memory. */
211void
212r_sort_b(const u_char **a, const u_char **ta, int n, int i, const u_char *tr,
213 u_int endch)
214{
215 static int count[256], nc, bmin;
216 int c;
217 const u_char **ak, **ai;
218 stack s[512], *sp, *sp0, *sp1, temp;
219 const u_char **top[256];
220 int *cp, bigc;
221
222 sp = s;
223 push(a, n, i);
224 while (!empty(s)) {
225 pop(a, n, i);
226 if (n < THRESHOLD) {
227 simplesort(a, n, i, tr, endch);
228 continue;
229 }
230
231 if (nc == 0) {
232 bmin = 255;
233 for (ak = a + n; --ak >= a;) {
234 c = tr[(*ak)[i]];
235 if (++count[c] == 1 && c != endch) {
236 if (c < bmin)
237 bmin = c;
238 nc++;
239 }
240 }
241 if (sp + nc > s + SIZE) {
242 r_sort_b(a, ta, n, i, tr, endch);
243 continue;
244 }
245 }
246
247 sp0 = sp1 = sp;
248 bigc = 2;
249 if (endch == 0) {
250 top[0] = ak = a + count[0];
251 count[0] = 0;
252 } else {
253 ak = a;
254 top[255] = a + n;
255 count[255] = 0;
256 }
257 for (cp = count + bmin; nc > 0; cp++) {
258 while (*cp == 0)
259 cp++;
260 if ((c = *cp) > 1) {
261 if (c > bigc) {
262 bigc = c;
263 sp1 = sp;
264 }
265 push(ak, c, i+1);
266 }
267 top[cp-count] = ak += c;
268 *cp = 0; /* Reset count[]. */
269 nc--;
270 }
271 swap(*sp0, *sp1, temp);
272
273 for (ak = ta + n, ai = a+n; ak > ta;) /* Copy to temp. */
274 *--ak = *--ai;
275 for (ak = ta+n; --ak >= ta;) /* Deal to piles. */
276 *--top[tr[(*ak)[i]]] = *ak;
277 }
278}
279
280static __inline void
281simplesort(const u_char **a, int n, int b, const u_char *tr, u_int endch)
282 /* insertion sort */
283{
284 u_char ch;
285 const u_char **ak, **ai, *s, *t;
286
287 for (ak = a+1; --n >= 1; ak++)
288 for (ai = ak; ai > a; ai--) {
289 for (s = ai[0] + b, t = ai[-1] + b;
290 (ch = tr[*s]) != endch; s++, t++)
291 if (ch != tr[*t])
292 break;
293 if (ch >= tr[*t])
294 break;
295 swap(ai[0], ai[-1], s);
296 }
297}