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      1 /*
      2 ** $Id: ltable.c,v 2.72 2012/09/11 19:37:16 roberto Exp $
      3 ** Lua tables (hash)
      4 ** See Copyright Notice in lua.h
      5 */
      6 
      7 
      8 /*
      9 ** Implementation of tables (aka arrays, objects, or hash tables).
     10 ** Tables keep its elements in two parts: an array part and a hash part.
     11 ** Non-negative integer keys are all candidates to be kept in the array
     12 ** part. The actual size of the array is the largest `n' such that at
     13 ** least half the slots between 0 and n are in use.
     14 ** Hash uses a mix of chained scatter table with Brent's variation.
     15 ** A main invariant of these tables is that, if an element is not
     16 ** in its main position (i.e. the `original' position that its hash gives
     17 ** to it), then the colliding element is in its own main position.
     18 ** Hence even when the load factor reaches 100%, performance remains good.
     19 */
     20 
     21 #include <string.h>
     22 
     23 #define ltable_c
     24 #define LUA_CORE
     25 
     26 #include "lua.h"
     27 
     28 #include "ldebug.h"
     29 #include "ldo.h"
     30 #include "lgc.h"
     31 #include "lmem.h"
     32 #include "lobject.h"
     33 #include "lstate.h"
     34 #include "lstring.h"
     35 #include "ltable.h"
     36 #include "lvm.h"
     37 
     38 
     39 /*
     40 ** max size of array part is 2^MAXBITS
     41 */
     42 #if LUAI_BITSINT >= 32
     43 #define MAXBITS		30
     44 #else
     45 #define MAXBITS		(LUAI_BITSINT-2)
     46 #endif
     47 
     48 #define MAXASIZE	(1 << MAXBITS)
     49 
     50 
     51 #define hashpow2(t,n)		(gnode(t, lmod((n), sizenode(t))))
     52 
     53 #define hashstr(t,str)		hashpow2(t, (str)->tsv.hash)
     54 #define hashboolean(t,p)	hashpow2(t, p)
     55 
     56 
     57 /*
     58 ** for some types, it is better to avoid modulus by power of 2, as
     59 ** they tend to have many 2 factors.
     60 */
     61 #define hashmod(t,n)	(gnode(t, ((n) % ((sizenode(t)-1)|1))))
     62 
     63 
     64 #define hashpointer(t,p)	hashmod(t, IntPoint(p))
     65 
     66 
     67 #define dummynode		(&dummynode_)
     68 
     69 #define isdummy(n)		((n) == dummynode)
     70 
     71 static const Node dummynode_ = {
     72   {NILCONSTANT},  /* value */
     73   {{NILCONSTANT, NULL}}  /* key */
     74 };
     75 
     76 
     77 /*
     78 ** hash for lua_Numbers
     79 */
     80 static Node *hashnum (const Table *t, lua_Number n) {
     81   int i;
     82   luai_hashnum(i, n);
     83   if (i < 0) {
     84     if (cast(unsigned int, i) == 0u - i)  /* use unsigned to avoid overflows */
     85       i = 0;  /* handle INT_MIN */
     86     i = -i;  /* must be a positive value */
     87   }
     88   return hashmod(t, i);
     89 }
     90 
     91 
     92 
     93 /*
     94 ** returns the `main' position of an element in a table (that is, the index
     95 ** of its hash value)
     96 */
     97 static Node *mainposition (const Table *t, const TValue *key) {
     98   switch (ttype(key)) {
     99     case LUA_TNUMBER:
    100       return hashnum(t, nvalue(key));
    101     case LUA_TLNGSTR: {
    102       TString *s = rawtsvalue(key);
    103       if (s->tsv.extra == 0) {  /* no hash? */
    104         s->tsv.hash = luaS_hash(getstr(s), s->tsv.len, s->tsv.hash);
    105         s->tsv.extra = 1;  /* now it has its hash */
    106       }
    107       return hashstr(t, rawtsvalue(key));
    108     }
    109     case LUA_TSHRSTR:
    110       return hashstr(t, rawtsvalue(key));
    111     case LUA_TBOOLEAN:
    112       return hashboolean(t, bvalue(key));
    113     case LUA_TLIGHTUSERDATA:
    114       return hashpointer(t, pvalue(key));
    115     case LUA_TLCF:
    116       return hashpointer(t, fvalue(key));
    117     default:
    118       return hashpointer(t, gcvalue(key));
    119   }
    120 }
    121 
    122 
    123 /*
    124 ** returns the index for `key' if `key' is an appropriate key to live in
    125 ** the array part of the table, -1 otherwise.
    126 */
    127 static int arrayindex (const TValue *key) {
    128   if (ttisnumber(key)) {
    129     lua_Number n = nvalue(key);
    130     int k;
    131     lua_number2int(k, n);
    132     if (luai_numeq(cast_num(k), n))
    133       return k;
    134   }
    135   return -1;  /* `key' did not match some condition */
    136 }
    137 
    138 
    139 /*
    140 ** returns the index of a `key' for table traversals. First goes all
    141 ** elements in the array part, then elements in the hash part. The
    142 ** beginning of a traversal is signaled by -1.
    143 */
    144 static int findindex (lua_State *L, Table *t, StkId key) {
    145   int i;
    146   if (ttisnil(key)) return -1;  /* first iteration */
    147   i = arrayindex(key);
    148   if (0 < i && i <= t->sizearray)  /* is `key' inside array part? */
    149     return i-1;  /* yes; that's the index (corrected to C) */
    150   else {
    151     Node *n = mainposition(t, key);
    152     for (;;) {  /* check whether `key' is somewhere in the chain */
    153       /* key may be dead already, but it is ok to use it in `next' */
    154       if (luaV_rawequalobj(gkey(n), key) ||
    155             (ttisdeadkey(gkey(n)) && iscollectable(key) &&
    156              deadvalue(gkey(n)) == gcvalue(key))) {
    157         i = cast_int(n - gnode(t, 0));  /* key index in hash table */
    158         /* hash elements are numbered after array ones */
    159         return i + t->sizearray;
    160       }
    161       else n = gnext(n);
    162       if (n == NULL)
    163         luaG_runerror(L, "invalid key to " LUA_QL("next"));  /* key not found */
    164     }
    165   }
    166 }
    167 
    168 
    169 int luaH_next (lua_State *L, Table *t, StkId key) {
    170   int i = findindex(L, t, key);  /* find original element */
    171   for (i++; i < t->sizearray; i++) {  /* try first array part */
    172     if (!ttisnil(&t->array[i])) {  /* a non-nil value? */
    173       setnvalue(key, cast_num(i+1));
    174       setobj2s(L, key+1, &t->array[i]);
    175       return 1;
    176     }
    177   }
    178   for (i -= t->sizearray; i < sizenode(t); i++) {  /* then hash part */
    179     if (!ttisnil(gval(gnode(t, i)))) {  /* a non-nil value? */
    180       setobj2s(L, key, gkey(gnode(t, i)));
    181       setobj2s(L, key+1, gval(gnode(t, i)));
    182       return 1;
    183     }
    184   }
    185   return 0;  /* no more elements */
    186 }
    187 
    188 
    189 /*
    190 ** {=============================================================
    191 ** Rehash
    192 ** ==============================================================
    193 */
    194 
    195 
    196 static int computesizes (int nums[], int *narray) {
    197   int i;
    198   int twotoi;  /* 2^i */
    199   int a = 0;  /* number of elements smaller than 2^i */
    200   int na = 0;  /* number of elements to go to array part */
    201   int n = 0;  /* optimal size for array part */
    202   for (i = 0, twotoi = 1; twotoi/2 < *narray; i++, twotoi *= 2) {
    203     if (nums[i] > 0) {
    204       a += nums[i];
    205       if (a > twotoi/2) {  /* more than half elements present? */
    206         n = twotoi;  /* optimal size (till now) */
    207         na = a;  /* all elements smaller than n will go to array part */
    208       }
    209     }
    210     if (a == *narray) break;  /* all elements already counted */
    211   }
    212   *narray = n;
    213   lua_assert(*narray/2 <= na && na <= *narray);
    214   return na;
    215 }
    216 
    217 
    218 static int countint (const TValue *key, int *nums) {
    219   int k = arrayindex(key);
    220   if (0 < k && k <= MAXASIZE) {  /* is `key' an appropriate array index? */
    221     nums[luaO_ceillog2(k)]++;  /* count as such */
    222     return 1;
    223   }
    224   else
    225     return 0;
    226 }
    227 
    228 
    229 static int numusearray (const Table *t, int *nums) {
    230   int lg;
    231   int ttlg;  /* 2^lg */
    232   int ause = 0;  /* summation of `nums' */
    233   int i = 1;  /* count to traverse all array keys */
    234   for (lg=0, ttlg=1; lg<=MAXBITS; lg++, ttlg*=2) {  /* for each slice */
    235     int lc = 0;  /* counter */
    236     int lim = ttlg;
    237     if (lim > t->sizearray) {
    238       lim = t->sizearray;  /* adjust upper limit */
    239       if (i > lim)
    240         break;  /* no more elements to count */
    241     }
    242     /* count elements in range (2^(lg-1), 2^lg] */
    243     for (; i <= lim; i++) {
    244       if (!ttisnil(&t->array[i-1]))
    245         lc++;
    246     }
    247     nums[lg] += lc;
    248     ause += lc;
    249   }
    250   return ause;
    251 }
    252 
    253 
    254 static int numusehash (const Table *t, int *nums, int *pnasize) {
    255   int totaluse = 0;  /* total number of elements */
    256   int ause = 0;  /* summation of `nums' */
    257   int i = sizenode(t);
    258   while (i--) {
    259     Node *n = &t->node[i];
    260     if (!ttisnil(gval(n))) {
    261       ause += countint(gkey(n), nums);
    262       totaluse++;
    263     }
    264   }
    265   *pnasize += ause;
    266   return totaluse;
    267 }
    268 
    269 
    270 static void setarrayvector (lua_State *L, Table *t, int size) {
    271   int i;
    272   luaM_reallocvector(L, t->array, t->sizearray, size, TValue);
    273   for (i=t->sizearray; i<size; i++)
    274      setnilvalue(&t->array[i]);
    275   t->sizearray = size;
    276 }
    277 
    278 
    279 static void setnodevector (lua_State *L, Table *t, int size) {
    280   int lsize;
    281   if (size == 0) {  /* no elements to hash part? */
    282     t->node = cast(Node *, dummynode);  /* use common `dummynode' */
    283     lsize = 0;
    284   }
    285   else {
    286     int i;
    287     lsize = luaO_ceillog2(size);
    288     if (lsize > MAXBITS)
    289       luaG_runerror(L, "table overflow");
    290     size = twoto(lsize);
    291     t->node = luaM_newvector(L, size, Node);
    292     for (i=0; i<size; i++) {
    293       Node *n = gnode(t, i);
    294       gnext(n) = NULL;
    295       setnilvalue(gkey(n));
    296       setnilvalue(gval(n));
    297     }
    298   }
    299   t->lsizenode = cast_byte(lsize);
    300   t->lastfree = gnode(t, size);  /* all positions are free */
    301 }
    302 
    303 
    304 void luaH_resize (lua_State *L, Table *t, int nasize, int nhsize) {
    305   int i;
    306   int oldasize = t->sizearray;
    307   int oldhsize = t->lsizenode;
    308   Node *nold = t->node;  /* save old hash ... */
    309   if (nasize > oldasize)  /* array part must grow? */
    310     setarrayvector(L, t, nasize);
    311   /* create new hash part with appropriate size */
    312   setnodevector(L, t, nhsize);
    313   if (nasize < oldasize) {  /* array part must shrink? */
    314     t->sizearray = nasize;
    315     /* re-insert elements from vanishing slice */
    316     for (i=nasize; i<oldasize; i++) {
    317       if (!ttisnil(&t->array[i]))
    318         luaH_setint(L, t, i + 1, &t->array[i]);
    319     }
    320     /* shrink array */
    321     luaM_reallocvector(L, t->array, oldasize, nasize, TValue);
    322   }
    323   /* re-insert elements from hash part */
    324   for (i = twoto(oldhsize) - 1; i >= 0; i--) {
    325     Node *old = nold+i;
    326     if (!ttisnil(gval(old))) {
    327       /* doesn't need barrier/invalidate cache, as entry was
    328          already present in the table */
    329       setobjt2t(L, luaH_set(L, t, gkey(old)), gval(old));
    330     }
    331   }
    332   if (!isdummy(nold))
    333     luaM_freearray(L, nold, cast(size_t, twoto(oldhsize))); /* free old array */
    334 }
    335 
    336 
    337 void luaH_resizearray (lua_State *L, Table *t, int nasize) {
    338   int nsize = isdummy(t->node) ? 0 : sizenode(t);
    339   luaH_resize(L, t, nasize, nsize);
    340 }
    341 
    342 
    343 static void rehash (lua_State *L, Table *t, const TValue *ek) {
    344   int nasize, na;
    345   int nums[MAXBITS+1];  /* nums[i] = number of keys with 2^(i-1) < k <= 2^i */
    346   int i;
    347   int totaluse;
    348   for (i=0; i<=MAXBITS; i++) nums[i] = 0;  /* reset counts */
    349   nasize = numusearray(t, nums);  /* count keys in array part */
    350   totaluse = nasize;  /* all those keys are integer keys */
    351   totaluse += numusehash(t, nums, &nasize);  /* count keys in hash part */
    352   /* count extra key */
    353   nasize += countint(ek, nums);
    354   totaluse++;
    355   /* compute new size for array part */
    356   na = computesizes(nums, &nasize);
    357   /* resize the table to new computed sizes */
    358   luaH_resize(L, t, nasize, totaluse - na);
    359 }
    360 
    361 
    362 
    363 /*
    364 ** }=============================================================
    365 */
    366 
    367 
    368 Table *luaH_new (lua_State *L) {
    369   Table *t = &luaC_newobj(L, LUA_TTABLE, sizeof(Table), NULL, 0)->h;
    370   t->metatable = NULL;
    371   t->flags = cast_byte(~0);
    372   t->array = NULL;
    373   t->sizearray = 0;
    374   setnodevector(L, t, 0);
    375   return t;
    376 }
    377 
    378 
    379 void luaH_free (lua_State *L, Table *t) {
    380   if (!isdummy(t->node))
    381     luaM_freearray(L, t->node, cast(size_t, sizenode(t)));
    382   luaM_freearray(L, t->array, t->sizearray);
    383   luaM_free(L, t);
    384 }
    385 
    386 
    387 static Node *getfreepos (Table *t) {
    388   while (t->lastfree > t->node) {
    389     t->lastfree--;
    390     if (ttisnil(gkey(t->lastfree)))
    391       return t->lastfree;
    392   }
    393   return NULL;  /* could not find a free place */
    394 }
    395 
    396 
    397 
    398 /*
    399 ** inserts a new key into a hash table; first, check whether key's main
    400 ** position is free. If not, check whether colliding node is in its main
    401 ** position or not: if it is not, move colliding node to an empty place and
    402 ** put new key in its main position; otherwise (colliding node is in its main
    403 ** position), new key goes to an empty position.
    404 */
    405 TValue *luaH_newkey (lua_State *L, Table *t, const TValue *key) {
    406   Node *mp;
    407   if (ttisnil(key)) luaG_runerror(L, "table index is nil");
    408   else if (ttisnumber(key) && luai_numisnan(L, nvalue(key)))
    409     luaG_runerror(L, "table index is NaN");
    410   mp = mainposition(t, key);
    411   if (!ttisnil(gval(mp)) || isdummy(mp)) {  /* main position is taken? */
    412     Node *othern;
    413     Node *n = getfreepos(t);  /* get a free place */
    414     if (n == NULL) {  /* cannot find a free place? */
    415       rehash(L, t, key);  /* grow table */
    416       /* whatever called 'newkey' take care of TM cache and GC barrier */
    417       return luaH_set(L, t, key);  /* insert key into grown table */
    418     }
    419     lua_assert(!isdummy(n));
    420     othern = mainposition(t, gkey(mp));
    421     if (othern != mp) {  /* is colliding node out of its main position? */
    422       /* yes; move colliding node into free position */
    423       while (gnext(othern) != mp) othern = gnext(othern);  /* find previous */
    424       gnext(othern) = n;  /* redo the chain with `n' in place of `mp' */
    425       *n = *mp;  /* copy colliding node into free pos. (mp->next also goes) */
    426       gnext(mp) = NULL;  /* now `mp' is free */
    427       setnilvalue(gval(mp));
    428     }
    429     else {  /* colliding node is in its own main position */
    430       /* new node will go into free position */
    431       gnext(n) = gnext(mp);  /* chain new position */
    432       gnext(mp) = n;
    433       mp = n;
    434     }
    435   }
    436   setobj2t(L, gkey(mp), key);
    437   luaC_barrierback(L, obj2gco(t), key);
    438   lua_assert(ttisnil(gval(mp)));
    439   return gval(mp);
    440 }
    441 
    442 
    443 /*
    444 ** search function for integers
    445 */
    446 const TValue *luaH_getint (Table *t, int key) {
    447   /* (1 <= key && key <= t->sizearray) */
    448   if (cast(unsigned int, key-1) < cast(unsigned int, t->sizearray))
    449     return &t->array[key-1];
    450   else {
    451     lua_Number nk = cast_num(key);
    452     Node *n = hashnum(t, nk);
    453     do {  /* check whether `key' is somewhere in the chain */
    454       if (ttisnumber(gkey(n)) && luai_numeq(nvalue(gkey(n)), nk))
    455         return gval(n);  /* that's it */
    456       else n = gnext(n);
    457     } while (n);
    458     return luaO_nilobject;
    459   }
    460 }
    461 
    462 
    463 /*
    464 ** search function for short strings
    465 */
    466 const TValue *luaH_getstr (Table *t, TString *key) {
    467   Node *n = hashstr(t, key);
    468   lua_assert(key->tsv.tt == LUA_TSHRSTR);
    469   do {  /* check whether `key' is somewhere in the chain */
    470     if (ttisshrstring(gkey(n)) && eqshrstr(rawtsvalue(gkey(n)), key))
    471       return gval(n);  /* that's it */
    472     else n = gnext(n);
    473   } while (n);
    474   return luaO_nilobject;
    475 }
    476 
    477 
    478 /*
    479 ** main search function
    480 */
    481 const TValue *luaH_get (Table *t, const TValue *key) {
    482   switch (ttype(key)) {
    483     case LUA_TSHRSTR: return luaH_getstr(t, rawtsvalue(key));
    484     case LUA_TNIL: return luaO_nilobject;
    485     case LUA_TNUMBER: {
    486       int k;
    487       lua_Number n = nvalue(key);
    488       lua_number2int(k, n);
    489       if (luai_numeq(cast_num(k), n)) /* index is int? */
    490         return luaH_getint(t, k);  /* use specialized version */
    491       /* else go through */
    492     }
    493     default: {
    494       Node *n = mainposition(t, key);
    495       do {  /* check whether `key' is somewhere in the chain */
    496         if (luaV_rawequalobj(gkey(n), key))
    497           return gval(n);  /* that's it */
    498         else n = gnext(n);
    499       } while (n);
    500       return luaO_nilobject;
    501     }
    502   }
    503 }
    504 
    505 
    506 /*
    507 ** beware: when using this function you probably need to check a GC
    508 ** barrier and invalidate the TM cache.
    509 */
    510 TValue *luaH_set (lua_State *L, Table *t, const TValue *key) {
    511   const TValue *p = luaH_get(t, key);
    512   if (p != luaO_nilobject)
    513     return cast(TValue *, p);
    514   else return luaH_newkey(L, t, key);
    515 }
    516 
    517 
    518 void luaH_setint (lua_State *L, Table *t, int key, TValue *value) {
    519   const TValue *p = luaH_getint(t, key);
    520   TValue *cell;
    521   if (p != luaO_nilobject)
    522     cell = cast(TValue *, p);
    523   else {
    524     TValue k;
    525     setnvalue(&k, cast_num(key));
    526     cell = luaH_newkey(L, t, &k);
    527   }
    528   setobj2t(L, cell, value);
    529 }
    530 
    531 
    532 static int unbound_search (Table *t, unsigned int j) {
    533   unsigned int i = j;  /* i is zero or a present index */
    534   j++;
    535   /* find `i' and `j' such that i is present and j is not */
    536   while (!ttisnil(luaH_getint(t, j))) {
    537     i = j;
    538     j *= 2;
    539     if (j > cast(unsigned int, MAX_INT)) {  /* overflow? */
    540       /* table was built with bad purposes: resort to linear search */
    541       i = 1;
    542       while (!ttisnil(luaH_getint(t, i))) i++;
    543       return i - 1;
    544     }
    545   }
    546   /* now do a binary search between them */
    547   while (j - i > 1) {
    548     unsigned int m = (i+j)/2;
    549     if (ttisnil(luaH_getint(t, m))) j = m;
    550     else i = m;
    551   }
    552   return i;
    553 }
    554 
    555 
    556 /*
    557 ** Try to find a boundary in table `t'. A `boundary' is an integer index
    558 ** such that t[i] is non-nil and t[i+1] is nil (and 0 if t[1] is nil).
    559 */
    560 int luaH_getn (Table *t) {
    561   unsigned int j = t->sizearray;
    562   if (j > 0 && ttisnil(&t->array[j - 1])) {
    563     /* there is a boundary in the array part: (binary) search for it */
    564     unsigned int i = 0;
    565     while (j - i > 1) {
    566       unsigned int m = (i+j)/2;
    567       if (ttisnil(&t->array[m - 1])) j = m;
    568       else i = m;
    569     }
    570     return i;
    571   }
    572   /* else must find a boundary in hash part */
    573   else if (isdummy(t->node))  /* hash part is empty? */
    574     return j;  /* that is easy... */
    575   else return unbound_search(t, j);
    576 }
    577 
    578 
    579 
    580 #if defined(LUA_DEBUG)
    581 
    582 Node *luaH_mainposition (const Table *t, const TValue *key) {
    583   return mainposition(t, key);
    584 }
    585 
    586 int luaH_isdummy (Node *n) { return isdummy(n); }
    587 
    588 #endif
    589