1 /* $NetBSD: ltable.c,v 1.1.1.2 2012/03/15 00:08:08 alnsn Exp $ */ 2 3 /* 4 ** $Id: ltable.c,v 1.1.1.2 2012/03/15 00:08:08 alnsn Exp $ 5 ** Lua tables (hash) 6 ** See Copyright Notice in lua.h 7 */ 8 9 10 /* 11 ** Implementation of tables (aka arrays, objects, or hash tables). 12 ** Tables keep its elements in two parts: an array part and a hash part. 13 ** Non-negative integer keys are all candidates to be kept in the array 14 ** part. The actual size of the array is the largest `n' such that at 15 ** least half the slots between 0 and n are in use. 16 ** Hash uses a mix of chained scatter table with Brent's variation. 17 ** A main invariant of these tables is that, if an element is not 18 ** in its main position (i.e. the `original' position that its hash gives 19 ** to it), then the colliding element is in its own main position. 20 ** Hence even when the load factor reaches 100%, performance remains good. 21 */ 22 23 #include <math.h> 24 #include <string.h> 25 26 #define ltable_c 27 #define LUA_CORE 28 29 #include "lua.h" 30 31 #include "ldebug.h" 32 #include "ldo.h" 33 #include "lgc.h" 34 #include "lmem.h" 35 #include "lobject.h" 36 #include "lstate.h" 37 #include "ltable.h" 38 39 40 /* 41 ** max size of array part is 2^MAXBITS 42 */ 43 #if LUAI_BITSINT > 26 44 #define MAXBITS 26 45 #else 46 #define MAXBITS (LUAI_BITSINT-2) 47 #endif 48 49 #define MAXASIZE (1 << MAXBITS) 50 51 52 #define hashpow2(t,n) (gnode(t, lmod((n), sizenode(t)))) 53 54 #define hashstr(t,str) hashpow2(t, (str)->tsv.hash) 55 #define hashboolean(t,p) hashpow2(t, p) 56 57 58 /* 59 ** for some types, it is better to avoid modulus by power of 2, as 60 ** they tend to have many 2 factors. 61 */ 62 #define hashmod(t,n) (gnode(t, ((n) % ((sizenode(t)-1)|1)))) 63 64 65 #define hashpointer(t,p) hashmod(t, IntPoint(p)) 66 67 68 /* 69 ** number of ints inside a lua_Number 70 */ 71 #define numints cast_int(sizeof(lua_Number)/sizeof(int)) 72 73 74 75 #define dummynode (&dummynode_) 76 77 static const Node dummynode_ = { 78 {{NULL}, LUA_TNIL}, /* value */ 79 {{{NULL}, LUA_TNIL, NULL}} /* key */ 80 }; 81 82 83 /* 84 ** hash for lua_Numbers 85 */ 86 static Node *hashnum (const Table *t, lua_Number n) { 87 unsigned int a[numints]; 88 int i; 89 if (luai_numeq(n, 0)) /* avoid problems with -0 */ 90 return gnode(t, 0); 91 memcpy(a, &n, sizeof(a)); 92 for (i = 1; i < numints; i++) a[0] += a[i]; 93 return hashmod(t, a[0]); 94 } 95 96 97 98 /* 99 ** returns the `main' position of an element in a table (that is, the index 100 ** of its hash value) 101 */ 102 static Node *mainposition (const Table *t, const TValue *key) { 103 switch (ttype(key)) { 104 case LUA_TNUMBER: 105 return hashnum(t, nvalue(key)); 106 case LUA_TSTRING: 107 return hashstr(t, rawtsvalue(key)); 108 case LUA_TBOOLEAN: 109 return hashboolean(t, bvalue(key)); 110 case LUA_TLIGHTUSERDATA: 111 return hashpointer(t, pvalue(key)); 112 default: 113 return hashpointer(t, gcvalue(key)); 114 } 115 } 116 117 118 /* 119 ** returns the index for `key' if `key' is an appropriate key to live in 120 ** the array part of the table, -1 otherwise. 121 */ 122 static int arrayindex (const TValue *key) { 123 if (ttisnumber(key)) { 124 lua_Number n = nvalue(key); 125 int k; 126 lua_number2int(k, n); 127 if (luai_numeq(cast_num(k), n)) 128 return k; 129 } 130 return -1; /* `key' did not match some condition */ 131 } 132 133 134 /* 135 ** returns the index of a `key' for table traversals. First goes all 136 ** elements in the array part, then elements in the hash part. The 137 ** beginning of a traversal is signalled by -1. 138 */ 139 static int findindex (lua_State *L, Table *t, StkId key) { 140 int i; 141 if (ttisnil(key)) return -1; /* first iteration */ 142 i = arrayindex(key); 143 if (0 < i && i <= t->sizearray) /* is `key' inside array part? */ 144 return i-1; /* yes; that's the index (corrected to C) */ 145 else { 146 Node *n = mainposition(t, key); 147 do { /* check whether `key' is somewhere in the chain */ 148 /* key may be dead already, but it is ok to use it in `next' */ 149 if (luaO_rawequalObj(key2tval(n), key) || 150 (ttype(gkey(n)) == LUA_TDEADKEY && iscollectable(key) && 151 gcvalue(gkey(n)) == gcvalue(key))) { 152 i = cast_int(n - gnode(t, 0)); /* key index in hash table */ 153 /* hash elements are numbered after array ones */ 154 return i + t->sizearray; 155 } 156 else n = gnext(n); 157 } while (n); 158 luaG_runerror(L, "invalid key to " LUA_QL("next")); /* key not found */ 159 return 0; /* to avoid warnings */ 160 } 161 } 162 163 164 int luaH_next (lua_State *L, Table *t, StkId key) { 165 int i = findindex(L, t, key); /* find original element */ 166 for (i++; i < t->sizearray; i++) { /* try first array part */ 167 if (!ttisnil(&t->array[i])) { /* a non-nil value? */ 168 setnvalue(key, cast_num(i+1)); 169 setobj2s(L, key+1, &t->array[i]); 170 return 1; 171 } 172 } 173 for (i -= t->sizearray; i < sizenode(t); i++) { /* then hash part */ 174 if (!ttisnil(gval(gnode(t, i)))) { /* a non-nil value? */ 175 setobj2s(L, key, key2tval(gnode(t, i))); 176 setobj2s(L, key+1, gval(gnode(t, i))); 177 return 1; 178 } 179 } 180 return 0; /* no more elements */ 181 } 182 183 184 /* 185 ** {============================================================= 186 ** Rehash 187 ** ============================================================== 188 */ 189 190 191 static int computesizes (int nums[], int *narray) { 192 int i; 193 int twotoi; /* 2^i */ 194 int a = 0; /* number of elements smaller than 2^i */ 195 int na = 0; /* number of elements to go to array part */ 196 int n = 0; /* optimal size for array part */ 197 for (i = 0, twotoi = 1; twotoi/2 < *narray; i++, twotoi *= 2) { 198 if (nums[i] > 0) { 199 a += nums[i]; 200 if (a > twotoi/2) { /* more than half elements present? */ 201 n = twotoi; /* optimal size (till now) */ 202 na = a; /* all elements smaller than n will go to array part */ 203 } 204 } 205 if (a == *narray) break; /* all elements already counted */ 206 } 207 *narray = n; 208 lua_assert(*narray/2 <= na && na <= *narray); 209 return na; 210 } 211 212 213 static int countint (const TValue *key, int *nums) { 214 int k = arrayindex(key); 215 if (0 < k && k <= MAXASIZE) { /* is `key' an appropriate array index? */ 216 nums[ceillog2(k)]++; /* count as such */ 217 return 1; 218 } 219 else 220 return 0; 221 } 222 223 224 static int numusearray (const Table *t, int *nums) { 225 int lg; 226 int ttlg; /* 2^lg */ 227 int ause = 0; /* summation of `nums' */ 228 int i = 1; /* count to traverse all array keys */ 229 for (lg=0, ttlg=1; lg<=MAXBITS; lg++, ttlg*=2) { /* for each slice */ 230 int lc = 0; /* counter */ 231 int lim = ttlg; 232 if (lim > t->sizearray) { 233 lim = t->sizearray; /* adjust upper limit */ 234 if (i > lim) 235 break; /* no more elements to count */ 236 } 237 /* count elements in range (2^(lg-1), 2^lg] */ 238 for (; i <= lim; i++) { 239 if (!ttisnil(&t->array[i-1])) 240 lc++; 241 } 242 nums[lg] += lc; 243 ause += lc; 244 } 245 return ause; 246 } 247 248 249 static int numusehash (const Table *t, int *nums, int *pnasize) { 250 int totaluse = 0; /* total number of elements */ 251 int ause = 0; /* summation of `nums' */ 252 int i = sizenode(t); 253 while (i--) { 254 Node *n = &t->node[i]; 255 if (!ttisnil(gval(n))) { 256 ause += countint(key2tval(n), nums); 257 totaluse++; 258 } 259 } 260 *pnasize += ause; 261 return totaluse; 262 } 263 264 265 static void setarrayvector (lua_State *L, Table *t, int size) { 266 int i; 267 luaM_reallocvector(L, t->array, t->sizearray, size, TValue); 268 for (i=t->sizearray; i<size; i++) 269 setnilvalue(&t->array[i]); 270 t->sizearray = size; 271 } 272 273 274 static void setnodevector (lua_State *L, Table *t, int size) { 275 int lsize; 276 if (size == 0) { /* no elements to hash part? */ 277 t->node = cast(Node *, dummynode); /* use common `dummynode' */ 278 lsize = 0; 279 } 280 else { 281 int i; 282 lsize = ceillog2(size); 283 if (lsize > MAXBITS) 284 luaG_runerror(L, "table overflow"); 285 size = twoto(lsize); 286 t->node = luaM_newvector(L, size, Node); 287 for (i=0; i<size; i++) { 288 Node *n = gnode(t, i); 289 gnext(n) = NULL; 290 setnilvalue(gkey(n)); 291 setnilvalue(gval(n)); 292 } 293 } 294 t->lsizenode = cast_byte(lsize); 295 t->lastfree = gnode(t, size); /* all positions are free */ 296 } 297 298 299 static void resize (lua_State *L, Table *t, int nasize, int nhsize) { 300 int i; 301 int oldasize = t->sizearray; 302 int oldhsize = t->lsizenode; 303 Node *nold = t->node; /* save old hash ... */ 304 if (nasize > oldasize) /* array part must grow? */ 305 setarrayvector(L, t, nasize); 306 /* create new hash part with appropriate size */ 307 setnodevector(L, t, nhsize); 308 if (nasize < oldasize) { /* array part must shrink? */ 309 t->sizearray = nasize; 310 /* re-insert elements from vanishing slice */ 311 for (i=nasize; i<oldasize; i++) { 312 if (!ttisnil(&t->array[i])) 313 setobjt2t(L, luaH_setnum(L, t, i+1), &t->array[i]); 314 } 315 /* shrink array */ 316 luaM_reallocvector(L, t->array, oldasize, nasize, TValue); 317 } 318 /* re-insert elements from hash part */ 319 for (i = twoto(oldhsize) - 1; i >= 0; i--) { 320 Node *old = nold+i; 321 if (!ttisnil(gval(old))) 322 setobjt2t(L, luaH_set(L, t, key2tval(old)), gval(old)); 323 } 324 if (nold != dummynode) 325 luaM_freearray(L, nold, twoto(oldhsize), Node); /* free old array */ 326 } 327 328 329 void luaH_resizearray (lua_State *L, Table *t, int nasize) { 330 int nsize = (t->node == dummynode) ? 0 : sizenode(t); 331 resize(L, t, nasize, nsize); 332 } 333 334 335 static void rehash (lua_State *L, Table *t, const TValue *ek) { 336 int nasize, na; 337 int nums[MAXBITS+1]; /* nums[i] = number of keys between 2^(i-1) and 2^i */ 338 int i; 339 int totaluse; 340 for (i=0; i<=MAXBITS; i++) nums[i] = 0; /* reset counts */ 341 nasize = numusearray(t, nums); /* count keys in array part */ 342 totaluse = nasize; /* all those keys are integer keys */ 343 totaluse += numusehash(t, nums, &nasize); /* count keys in hash part */ 344 /* count extra key */ 345 nasize += countint(ek, nums); 346 totaluse++; 347 /* compute new size for array part */ 348 na = computesizes(nums, &nasize); 349 /* resize the table to new computed sizes */ 350 resize(L, t, nasize, totaluse - na); 351 } 352 353 354 355 /* 356 ** }============================================================= 357 */ 358 359 360 Table *luaH_new (lua_State *L, int narray, int nhash) { 361 Table *t = luaM_new(L, Table); 362 luaC_link(L, obj2gco(t), LUA_TTABLE); 363 t->metatable = NULL; 364 t->flags = cast_byte(~0); 365 /* temporary values (kept only if some malloc fails) */ 366 t->array = NULL; 367 t->sizearray = 0; 368 t->lsizenode = 0; 369 t->node = cast(Node *, dummynode); 370 setarrayvector(L, t, narray); 371 setnodevector(L, t, nhash); 372 return t; 373 } 374 375 376 void luaH_free (lua_State *L, Table *t) { 377 if (t->node != dummynode) 378 luaM_freearray(L, t->node, sizenode(t), Node); 379 luaM_freearray(L, t->array, t->sizearray, TValue); 380 luaM_free(L, t); 381 } 382 383 384 static Node *getfreepos (Table *t) { 385 while (t->lastfree-- > t->node) { 386 if (ttisnil(gkey(t->lastfree))) 387 return t->lastfree; 388 } 389 return NULL; /* could not find a free place */ 390 } 391 392 393 394 /* 395 ** inserts a new key into a hash table; first, check whether key's main 396 ** position is free. If not, check whether colliding node is in its main 397 ** position or not: if it is not, move colliding node to an empty place and 398 ** put new key in its main position; otherwise (colliding node is in its main 399 ** position), new key goes to an empty position. 400 */ 401 static TValue *newkey (lua_State *L, Table *t, const TValue *key) { 402 Node *mp = mainposition(t, key); 403 if (!ttisnil(gval(mp)) || mp == dummynode) { 404 Node *othern; 405 Node *n = getfreepos(t); /* get a free place */ 406 if (n == NULL) { /* cannot find a free place? */ 407 rehash(L, t, key); /* grow table */ 408 return luaH_set(L, t, key); /* re-insert key into grown table */ 409 } 410 lua_assert(n != dummynode); 411 othern = mainposition(t, key2tval(mp)); 412 if (othern != mp) { /* is colliding node out of its main position? */ 413 /* yes; move colliding node into free position */ 414 while (gnext(othern) != mp) othern = gnext(othern); /* find previous */ 415 gnext(othern) = n; /* redo the chain with `n' in place of `mp' */ 416 *n = *mp; /* copy colliding node into free pos. (mp->next also goes) */ 417 gnext(mp) = NULL; /* now `mp' is free */ 418 setnilvalue(gval(mp)); 419 } 420 else { /* colliding node is in its own main position */ 421 /* new node will go into free position */ 422 gnext(n) = gnext(mp); /* chain new position */ 423 gnext(mp) = n; 424 mp = n; 425 } 426 } 427 gkey(mp)->value = key->value; gkey(mp)->tt = key->tt; 428 luaC_barriert(L, t, key); 429 lua_assert(ttisnil(gval(mp))); 430 return gval(mp); 431 } 432 433 434 /* 435 ** search function for integers 436 */ 437 const TValue *luaH_getnum (Table *t, int key) { 438 /* (1 <= key && key <= t->sizearray) */ 439 if (cast(unsigned int, key-1) < cast(unsigned int, t->sizearray)) 440 return &t->array[key-1]; 441 else { 442 lua_Number nk = cast_num(key); 443 Node *n = hashnum(t, nk); 444 do { /* check whether `key' is somewhere in the chain */ 445 if (ttisnumber(gkey(n)) && luai_numeq(nvalue(gkey(n)), nk)) 446 return gval(n); /* that's it */ 447 else n = gnext(n); 448 } while (n); 449 return luaO_nilobject; 450 } 451 } 452 453 454 /* 455 ** search function for strings 456 */ 457 const TValue *luaH_getstr (Table *t, TString *key) { 458 Node *n = hashstr(t, key); 459 do { /* check whether `key' is somewhere in the chain */ 460 if (ttisstring(gkey(n)) && rawtsvalue(gkey(n)) == key) 461 return gval(n); /* that's it */ 462 else n = gnext(n); 463 } while (n); 464 return luaO_nilobject; 465 } 466 467 468 /* 469 ** main search function 470 */ 471 const TValue *luaH_get (Table *t, const TValue *key) { 472 switch (ttype(key)) { 473 case LUA_TNIL: return luaO_nilobject; 474 case LUA_TSTRING: return luaH_getstr(t, rawtsvalue(key)); 475 case LUA_TNUMBER: { 476 int k; 477 lua_Number n = nvalue(key); 478 lua_number2int(k, n); 479 if (luai_numeq(cast_num(k), nvalue(key))) /* index is int? */ 480 return luaH_getnum(t, k); /* use specialized version */ 481 /* else go through */ 482 } 483 default: { 484 Node *n = mainposition(t, key); 485 do { /* check whether `key' is somewhere in the chain */ 486 if (luaO_rawequalObj(key2tval(n), key)) 487 return gval(n); /* that's it */ 488 else n = gnext(n); 489 } while (n); 490 return luaO_nilobject; 491 } 492 } 493 } 494 495 496 TValue *luaH_set (lua_State *L, Table *t, const TValue *key) { 497 const TValue *p = luaH_get(t, key); 498 t->flags = 0; 499 if (p != luaO_nilobject) 500 return cast(TValue *, p); 501 else { 502 if (ttisnil(key)) luaG_runerror(L, "table index is nil"); 503 else if (ttisnumber(key) && luai_numisnan(nvalue(key))) 504 luaG_runerror(L, "table index is NaN"); 505 return newkey(L, t, key); 506 } 507 } 508 509 510 TValue *luaH_setnum (lua_State *L, Table *t, int key) { 511 const TValue *p = luaH_getnum(t, key); 512 if (p != luaO_nilobject) 513 return cast(TValue *, p); 514 else { 515 TValue k; 516 setnvalue(&k, cast_num(key)); 517 return newkey(L, t, &k); 518 } 519 } 520 521 522 TValue *luaH_setstr (lua_State *L, Table *t, TString *key) { 523 const TValue *p = luaH_getstr(t, key); 524 if (p != luaO_nilobject) 525 return cast(TValue *, p); 526 else { 527 TValue k; 528 setsvalue(L, &k, key); 529 return newkey(L, t, &k); 530 } 531 } 532 533 534 static int unbound_search (Table *t, unsigned int j) { 535 unsigned int i = j; /* i is zero or a present index */ 536 j++; 537 /* find `i' and `j' such that i is present and j is not */ 538 while (!ttisnil(luaH_getnum(t, j))) { 539 i = j; 540 j *= 2; 541 if (j > cast(unsigned int, MAX_INT)) { /* overflow? */ 542 /* table was built with bad purposes: resort to linear search */ 543 i = 1; 544 while (!ttisnil(luaH_getnum(t, i))) i++; 545 return i - 1; 546 } 547 } 548 /* now do a binary search between them */ 549 while (j - i > 1) { 550 unsigned int m = (i+j)/2; 551 if (ttisnil(luaH_getnum(t, m))) j = m; 552 else i = m; 553 } 554 return i; 555 } 556 557 558 /* 559 ** Try to find a boundary in table `t'. A `boundary' is an integer index 560 ** such that t[i] is non-nil and t[i+1] is nil (and 0 if t[1] is nil). 561 */ 562 int luaH_getn (Table *t) { 563 unsigned int j = t->sizearray; 564 if (j > 0 && ttisnil(&t->array[j - 1])) { 565 /* there is a boundary in the array part: (binary) search for it */ 566 unsigned int i = 0; 567 while (j - i > 1) { 568 unsigned int m = (i+j)/2; 569 if (ttisnil(&t->array[m - 1])) j = m; 570 else i = m; 571 } 572 return i; 573 } 574 /* else must find a boundary in hash part */ 575 else if (t->node == dummynode) /* hash part is empty? */ 576 return j; /* that is easy... */ 577 else return unbound_search(t, j); 578 } 579 580 581 582 #if defined(LUA_DEBUG) 583 584 Node *luaH_mainposition (const Table *t, const TValue *key) { 585 return mainposition(t, key); 586 } 587 588 int luaH_isdummy (Node *n) { return n == dummynode; } 589 590 #endif 591