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. 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[] = "@(#)radixsort.c 8.2 (Berkeley) 4/28/95"; 39 #endif /* LIBC_SCCS and not lint */ 40 #include <sys/cdefs.h> 41 __FBSDID("$FreeBSD$"); 42 43 /* 44 * Radixsort routines. 45 * 46 * Program r_sort_a() is unstable but uses O(logN) extra memory for a stack. 47 * Use radixsort(a, n, trace, endchar) for this case. 48 * 49 * For stable sorting (using N extra pointers) use sradixsort(), which calls 50 * r_sort_b(). 51 * 52 * For a description of this code, see D. McIlroy, P. McIlroy, K. Bostic, 53 * "Engineering Radix Sort". 54 */ 55 56 #include <sys/types.h> 57 #include <stdlib.h> 58 #include <stddef.h> 59 #include <errno.h> 60 61 typedef struct { 62 const u_char **sa; 63 int sn, si; 64 } stack; 65 66 static inline void simplesort 67 (const u_char **, int, int, const u_char *, u_int); 68 static void r_sort_a(const u_char **, int, int, const u_char *, u_int); 69 static void r_sort_b(const u_char **, const u_char **, int, int, 70 const u_char *, u_int); 71 72 #define THRESHOLD 20 /* Divert to simplesort(). */ 73 #define SIZE 512 /* Default stack size. */ 74 75 #define SETUP { \ 76 if (tab == NULL) { \ 77 tr = tr0; \ 78 for (c = 0; c < endch; c++) \ 79 tr0[c] = c + 1; \ 80 tr0[c] = 0; \ 81 for (c++; c < 256; c++) \ 82 tr0[c] = c; \ 83 endch = 0; \ 84 } else { \ 85 endch = tab[endch]; \ 86 tr = tab; \ 87 if (endch != 0 && endch != 255) { \ 88 errno = EINVAL; \ 89 return (-1); \ 90 } \ 91 } \ 92 } 93 94 int 95 radixsort(a, n, tab, endch) 96 const u_char **a, *tab; 97 int n; 98 u_int endch; 99 { 100 const u_char *tr; 101 int c; 102 u_char tr0[256]; 103 104 SETUP; 105 r_sort_a(a, n, 0, tr, endch); 106 return (0); 107 } 108 109 int 110 sradixsort(a, n, tab, endch) 111 const u_char **a, *tab; 112 int n; 113 u_int endch; 114 { 115 const u_char *tr, **ta; 116 int c; 117 u_char tr0[256]; 118 119 SETUP; 120 if (n < THRESHOLD) 121 simplesort(a, n, 0, tr, endch); 122 else { 123 if ((ta = malloc(n * sizeof(a))) == NULL) 124 return (-1); 125 r_sort_b(a, ta, n, 0, tr, endch); 126 free(ta); 127 } 128 return (0); 129 } 130 131 #define empty(s) (s >= sp) 132 #define pop(a, n, i) a = (--sp)->sa, n = sp->sn, i = sp->si 133 #define push(a, n, i) sp->sa = a, sp->sn = n, (sp++)->si = i 134 #define swap(a, b, t) t = a, a = b, b = t 135 136 /* Unstable, in-place sort. */ 137 static void 138 r_sort_a(a, n, i, tr, endch) 139 const u_char **a; 140 int n, i; 141 const u_char *tr; 142 u_int endch; 143 { 144 static int count[256], nc, bmin; 145 int c; 146 const u_char **ak, *r; 147 stack s[SIZE], *sp, *sp0, *sp1, temp; 148 int *cp, bigc; 149 const u_char **an, *t, **aj, **top[256]; 150 151 /* Set up stack. */ 152 sp = s; 153 push(a, n, i); 154 while (!empty(s)) { 155 pop(a, n, i); 156 if (n < THRESHOLD) { 157 simplesort(a, n, i, tr, endch); 158 continue; 159 } 160 an = a + n; 161 162 /* Make character histogram. */ 163 if (nc == 0) { 164 bmin = 255; /* First occupied bin, excluding eos. */ 165 for (ak = a; ak < an;) { 166 c = tr[(*ak++)[i]]; 167 if (++count[c] == 1 && c != endch) { 168 if (c < bmin) 169 bmin = c; 170 nc++; 171 } 172 } 173 if (sp + nc > s + SIZE) { /* Get more stack. */ 174 r_sort_a(a, n, i, tr, endch); 175 continue; 176 } 177 } 178 179 /* 180 * Set top[]; push incompletely sorted bins onto stack. 181 * top[] = pointers to last out-of-place element in bins. 182 * count[] = counts of elements in bins. 183 * Before permuting: top[c-1] + count[c] = top[c]; 184 * during deal: top[c] counts down to top[c-1]. 185 */ 186 sp0 = sp1 = sp; /* Stack position of biggest bin. */ 187 bigc = 2; /* Size of biggest bin. */ 188 if (endch == 0) /* Special case: set top[eos]. */ 189 top[0] = ak = a + count[0]; 190 else { 191 ak = a; 192 top[255] = an; 193 } 194 for (cp = count + bmin; nc > 0; cp++) { 195 while (*cp == 0) /* Find next non-empty pile. */ 196 cp++; 197 if (*cp > 1) { 198 if (*cp > bigc) { 199 bigc = *cp; 200 sp1 = sp; 201 } 202 push(ak, *cp, i+1); 203 } 204 top[cp-count] = ak += *cp; 205 nc--; 206 } 207 swap(*sp0, *sp1, temp); /* Play it safe -- biggest bin last. */ 208 209 /* 210 * Permute misplacements home. Already home: everything 211 * before aj, and in bin[c], items from top[c] on. 212 * Inner loop: 213 * r = next element to put in place; 214 * ak = top[r[i]] = location to put the next element. 215 * aj = bottom of 1st disordered bin. 216 * Outer loop: 217 * Once the 1st disordered bin is done, ie. aj >= ak, 218 * aj<-aj + count[c] connects the bins in a linked list; 219 * reset count[c]. 220 */ 221 for (aj = a; aj < an; *aj = r, aj += count[c], count[c] = 0) 222 for (r = *aj; aj < (ak = --top[c = tr[r[i]]]);) 223 swap(*ak, r, t); 224 } 225 } 226 227 /* Stable sort, requiring additional memory. */ 228 static void 229 r_sort_b(a, ta, n, i, tr, endch) 230 const u_char **a, **ta; 231 int n, i; 232 const u_char *tr; 233 u_int endch; 234 { 235 static int count[256], nc, bmin; 236 int c; 237 const u_char **ak, **ai; 238 stack s[512], *sp, *sp0, *sp1, temp; 239 const u_char **top[256]; 240 int *cp, bigc; 241 242 sp = s; 243 push(a, n, i); 244 while (!empty(s)) { 245 pop(a, n, i); 246 if (n < THRESHOLD) { 247 simplesort(a, n, i, tr, endch); 248 continue; 249 } 250 251 if (nc == 0) { 252 bmin = 255; 253 for (ak = a + n; --ak >= a;) { 254 c = tr[(*ak)[i]]; 255 if (++count[c] == 1 && c != endch) { 256 if (c < bmin) 257 bmin = c; 258 nc++; 259 } 260 } 261 if (sp + nc > s + SIZE) { 262 r_sort_b(a, ta, n, i, tr, endch); 263 continue; 264 } 265 } 266 267 sp0 = sp1 = sp; 268 bigc = 2; 269 if (endch == 0) { 270 top[0] = ak = a + count[0]; 271 count[0] = 0; 272 } else { 273 ak = a; 274 top[255] = a + n; 275 count[255] = 0; 276 } 277 for (cp = count + bmin; nc > 0; cp++) { 278 while (*cp == 0) 279 cp++; 280 if ((c = *cp) > 1) { 281 if (c > bigc) { 282 bigc = c; 283 sp1 = sp; 284 } 285 push(ak, c, i+1); 286 } 287 top[cp-count] = ak += c; 288 *cp = 0; /* Reset count[]. */ 289 nc--; 290 } 291 swap(*sp0, *sp1, temp); 292 293 for (ak = ta + n, ai = a+n; ak > ta;) /* Copy to temp. */ 294 *--ak = *--ai; 295 for (ak = ta+n; --ak >= ta;) /* Deal to piles. */ 296 *--top[tr[(*ak)[i]]] = *ak; 297 } 298 } 299 300 static inline void 301 simplesort(a, n, b, tr, endch) /* insertion sort */ 302 const u_char **a; 303 int n, b; 304 const u_char *tr; 305 u_int endch; 306 { 307 u_char ch; 308 const u_char **ak, **ai, *s, *t; 309 310 for (ak = a+1; --n >= 1; ak++) 311 for (ai = ak; ai > a; ai--) { 312 for (s = ai[0] + b, t = ai[-1] + b; 313 (ch = tr[*s]) != endch; s++, t++) 314 if (ch != tr[*t]) 315 break; 316 if (ch >= tr[*t]) 317 break; 318 swap(ai[0], ai[-1], s); 319 } 320 } 321