root/main/mergesort.c

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DEFINITIONS

This source file includes following definitions.
  1. php_mergesort
  2. setup
  3. insertionsort

   1 /*-
   2  * Copyright (c) 1992, 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.
   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 /* $Id$ */
  38 
  39 #if defined(LIBC_SCCS) && !defined(lint)
  40 static char sccsid[] = "@(#)merge.c     8.2 (Berkeley) 2/14/94";
  41 #endif /* LIBC_SCCS and not lint */
  42 
  43 /*
  44  * Hybrid exponential search/linear search merge sort with hybrid
  45  * natural/pairwise first pass.  Requires about .3% more comparisons
  46  * for random data than LSMS with pairwise first pass alone.
  47  * It works for objects as small as two bytes.
  48  */
  49 
  50 #define NATURAL
  51 #define THRESHOLD 16    /* Best choice for natural merge cut-off. */
  52 
  53 /* #define NATURAL to get hybrid natural merge.
  54  * (The default is pairwise merging.)
  55  */
  56 
  57 #include <sys/types.h>
  58 
  59 #include <errno.h>
  60 #include <stdlib.h>
  61 #include <string.h>
  62 
  63 #include "php.h"
  64 
  65 #ifdef PHP_WIN32
  66 #include <winsock2.h> /* Includes definition for u_char */
  67 #endif
  68 
  69 static void setup(u_char *list1, u_char *list2, size_t n, size_t size, int (*cmp)(const void *, const void *));
  70 static void insertionsort(u_char *a, size_t n, size_t size, int (*cmp)(const void *, const void *));
  71 
  72 #define ISIZE sizeof(int)
  73 #define PSIZE sizeof(u_char *)
  74 #define ICOPY_LIST(src, dst, last)                              \
  75         do                                                      \
  76         *(int*)dst = *(int*)src, src += ISIZE, dst += ISIZE;    \
  77         while(src < last)
  78 #define ICOPY_ELT(src, dst, i)                                  \
  79         do                                                      \
  80         *(int*) dst = *(int*) src, src += ISIZE, dst += ISIZE;  \
  81         while (i -= ISIZE)
  82 
  83 #define CCOPY_LIST(src, dst, last)              \
  84         do                                      \
  85                 *dst++ = *src++;                \
  86         while (src < last)
  87 #define CCOPY_ELT(src, dst, i)                  \
  88         do                                      \
  89                 *dst++ = *src++;                \
  90         while (i -= 1)
  91 
  92 /*
  93  * Find the next possible pointer head.  (Trickery for forcing an array
  94  * to do double duty as a linked list when objects do not align with word
  95  * boundaries.
  96  */
  97 /* Assumption: PSIZE is a power of 2. */
  98 #define EVAL(p) (u_char **)                                             \
  99         ((u_char *)0 +                                                  \
 100             (((u_char *)p + PSIZE - 1 - (u_char *) 0) & ~(PSIZE - 1)))
 101 
 102 /* {{{ php_mergesort
 103  * Arguments are as for qsort.
 104  */
 105 PHPAPI int php_mergesort(void *base, size_t nmemb, size_t size, int (*cmp)(const void *, const void *))
 106 {
 107         register size_t i;
 108         register int sense;
 109         int big, iflag;
 110         register u_char *f1, *f2, *t, *b, *tp2, *q, *l1, *l2;
 111         u_char *list2, *list1, *p2, *p, *last, **p1;
 112 
 113         if (size < PSIZE / 2) {         /* Pointers must fit into 2 * size. */
 114                 errno = EINVAL;
 115                 return (-1);
 116         }
 117 
 118         if (nmemb == 0)
 119                 return (0);
 120 
 121         /*
 122          * XXX
 123          * Stupid subtraction for the Cray.
 124          */
 125         iflag = 0;
 126         if (!(size % ISIZE) && !(((char *)base - (char *)0) % ISIZE))
 127                 iflag = 1;
 128 
 129         if ((list2 = malloc(nmemb * size + PSIZE)) == NULL)
 130                 return (-1);
 131 
 132         list1 = base;
 133         setup(list1, list2, nmemb, size, cmp);
 134         last = list2 + nmemb * size;
 135         i = big = 0;
 136         while (*EVAL(list2) != last) {
 137             l2 = list1;
 138             p1 = EVAL(list1);
 139             for (tp2 = p2 = list2; p2 != last; p1 = EVAL(l2)) {
 140                 p2 = *EVAL(p2);
 141                 f1 = l2;
 142                 f2 = l1 = list1 + (p2 - list2);
 143                 if (p2 != last)
 144                         p2 = *EVAL(p2);
 145                 l2 = list1 + (p2 - list2);
 146                 while (f1 < l1 && f2 < l2) {
 147                         if ((*cmp)(f1, f2) <= 0) {
 148                                 q = f2;
 149                                 b = f1, t = l1;
 150                                 sense = -1;
 151                         } else {
 152                                 q = f1;
 153                                 b = f2, t = l2;
 154                                 sense = 0;
 155                         }
 156                         if (!big) {     /* here i = 0 */
 157                                 while ((b += size) < t && cmp(q, b) >sense)
 158                                         if (++i == 6) {
 159                                                 big = 1;
 160                                                 goto EXPONENTIAL;
 161                                         }
 162                         } else {
 163 EXPONENTIAL:                    for (i = size; ; i <<= 1)
 164                                         if ((p = (b + i)) >= t) {
 165                                                 if ((p = t - size) > b &&
 166                                                     (*cmp)(q, p) <= sense)
 167                                                         t = p;
 168                                                 else
 169                                                         b = p;
 170                                                 break;
 171                                         } else if ((*cmp)(q, p) <= sense) {
 172                                                 t = p;
 173                                                 if (i == size)
 174                                                         big = 0;
 175                                                 goto FASTCASE;
 176                                         } else
 177                                                 b = p;
 178                                 while (t > b+size) {
 179                                         i = (((t - b) / size) >> 1) * size;
 180                                         if ((*cmp)(q, p = b + i) <= sense)
 181                                                 t = p;
 182                                         else
 183                                                 b = p;
 184                                 }
 185                                 goto COPY;
 186 FASTCASE:                       while (i > size)
 187                                         if ((*cmp)(q,
 188                                                 p = b + (i >>= 1)) <= sense)
 189                                                 t = p;
 190                                         else
 191                                                 b = p;
 192 COPY:                           b = t;
 193                         }
 194                         i = size;
 195                         if (q == f1) {
 196                                 if (iflag) {
 197                                         ICOPY_LIST(f2, tp2, b);
 198                                         ICOPY_ELT(f1, tp2, i);
 199                                 } else {
 200                                         CCOPY_LIST(f2, tp2, b);
 201                                         CCOPY_ELT(f1, tp2, i);
 202                                 }
 203                         } else {
 204                                 if (iflag) {
 205                                         ICOPY_LIST(f1, tp2, b);
 206                                         ICOPY_ELT(f2, tp2, i);
 207                                 } else {
 208                                         CCOPY_LIST(f1, tp2, b);
 209                                         CCOPY_ELT(f2, tp2, i);
 210                                 }
 211                         }
 212                 }
 213                 if (f2 < l2) {
 214                         if (iflag)
 215                                 ICOPY_LIST(f2, tp2, l2);
 216                         else
 217                                 CCOPY_LIST(f2, tp2, l2);
 218                 } else if (f1 < l1) {
 219                         if (iflag)
 220                                 ICOPY_LIST(f1, tp2, l1);
 221                         else
 222                                 CCOPY_LIST(f1, tp2, l1);
 223                 }
 224                 *p1 = l2;
 225             }
 226             tp2 = list1;        /* swap list1, list2 */
 227             list1 = list2;
 228             list2 = tp2;
 229             last = list2 + nmemb*size;
 230         }
 231         if (base == list2) {
 232                 memmove(list2, list1, nmemb*size);
 233                 list2 = list1;
 234         }
 235         free(list2);
 236         return (0);
 237 }
 238 /* }}} */
 239 
 240 #define swap(a, b) {                                    \
 241                 s = b;                                  \
 242                 i = size;                               \
 243                 do {                                    \
 244                         tmp = *a; *a++ = *s; *s++ = tmp; \
 245                 } while (--i);                          \
 246                 a -= size;                              \
 247         }
 248 #define reverse(bot, top) {                             \
 249         s = top;                                        \
 250         do {                                            \
 251                 i = size;                               \
 252                 do {                                    \
 253                         tmp = *bot; *bot++ = *s; *s++ = tmp; \
 254                 } while (--i);                          \
 255                 s -= size2;                             \
 256         } while(bot < s);                               \
 257 }
 258 
 259 /* {{{ setup
 260  * Optional hybrid natural/pairwise first pass.  Eats up list1 in runs of
 261  * increasing order, list2 in a corresponding linked list.  Checks for runs
 262  * when THRESHOLD/2 pairs compare with same sense.  (Only used when NATURAL
 263  * is defined.  Otherwise simple pairwise merging is used.)
 264  */
 265 static void setup(u_char *list1, u_char *list2, size_t n, size_t size, int (*cmp)(const void *, const void *))
 266 {
 267         size_t i, length, size2, sense;
 268         u_char *f1, *f2, *s, *l2, *last, *p2, tmp;
 269 
 270         size2 = size*2;
 271         if (n <= 5) {
 272                 insertionsort(list1, n, size, cmp);
 273                 *EVAL(list2) = (u_char*) list2 + n*size;
 274                 return;
 275         }
 276         /*
 277          * Avoid running pointers out of bounds; limit n to evens
 278          * for simplicity.
 279          */
 280         i = 4 + (n & 1);
 281         insertionsort(list1 + (n - i) * size, i, size, cmp);
 282         last = list1 + size * (n - i);
 283         *EVAL(list2 + (last - list1)) = list2 + n * size;
 284 
 285 #ifdef NATURAL
 286         p2 = list2;
 287         f1 = list1;
 288         sense = (cmp(f1, f1 + size) > 0);
 289         for (; f1 < last; sense = !sense) {
 290                 length = 2;
 291                                         /* Find pairs with same sense. */
 292                 for (f2 = f1 + size2; f2 < last; f2 += size2) {
 293                         if ((cmp(f2, f2+ size) > 0) != sense)
 294                                 break;
 295                         length += 2;
 296                 }
 297                 if (length < THRESHOLD) {               /* Pairwise merge */
 298                         do {
 299                                 p2 = *EVAL(p2) = f1 + size2 - list1 + list2;
 300                                 if (sense > 0)
 301                                         swap (f1, f1 + size);
 302                         } while ((f1 += size2) < f2);
 303                 } else {                                /* Natural merge */
 304                         l2 = f2;
 305                         for (f2 = f1 + size2; f2 < l2; f2 += size2) {
 306                                 if ((cmp(f2-size, f2) > 0) != sense) {
 307                                         p2 = *EVAL(p2) = f2 - list1 + list2;
 308                                         if (sense > 0)
 309                                                 reverse(f1, f2-size);
 310                                         f1 = f2;
 311                                 }
 312                         }
 313                         if (sense > 0)
 314                                 reverse (f1, f2-size);
 315                         f1 = f2;
 316                         if (f2 < last || cmp(f2 - size, f2) > 0)
 317                                 p2 = *EVAL(p2) = f2 - list1 + list2;
 318                         else
 319                                 p2 = *EVAL(p2) = list2 + n*size;
 320                 }
 321         }
 322 #else           /* pairwise merge only. */
 323         for (f1 = list1, p2 = list2; f1 < last; f1 += size2) {
 324                 p2 = *EVAL(p2) = p2 + size2;
 325                 if (cmp (f1, f1 + size) > 0)
 326                         swap(f1, f1 + size);
 327         }
 328 #endif /* NATURAL */
 329 }
 330 /* }}} */
 331 
 332 /* {{{ insertionsort
 333  * This is to avoid out-of-bounds addresses in sorting the
 334  * last 4 elements.
 335  */
 336 static void insertionsort(u_char *a, size_t n, size_t size, int (*cmp)(const void *, const void *))
 337 {
 338         u_char *ai, *s, *t, *u, tmp;
 339         size_t i;
 340 
 341         for (ai = a+size; --n >= 1; ai += size)
 342                 for (t = ai; t > a; t -= size) {
 343                         u = t - size;
 344                         if (cmp(u, t) <= 0)
 345                                 break;
 346                         swap(u, t);
 347                 }
 348 }
 349 /* }}} */
 350 
 351 /*
 352  * Local variables:
 353  * tab-width: 4
 354  * c-basic-offset: 4
 355  * End:
 356  * vim600: fdm=marker
 357  * vim: noet sw=4 ts=4
 358  */

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