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      1 /*
      2 ** $Id: ltable.c,v 2.72.1.1 2013/04/12 18:48:47 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 /* Taken from Lua 5.1 to avoid frexp() */
     81 #define numints	cast_int(sizeof(lua_Number)/sizeof(int))
     82 static Node *hashnum (const Table *t, lua_Number n) {
     83   unsigned int a[numints];
     84   int i;
     85   if (luai_numeq(n, 0))  /* avoid problems with -0 */
     86     return gnode(t, 0);
     87   memcpy(a, &n, sizeof(a));
     88   for (i = 1; i < numints; i++) a[0] += a[i];
     89   return hashmod(t, a[0]);
     90 }
     91 
     92 
     93 
     94 /*
     95 ** returns the `main' position of an element in a table (that is, the index
     96 ** of its hash value)
     97 */
     98 static Node *mainposition (const Table *t, const TValue *key) {
     99   switch (ttype(key)) {
    100     case LUA_TNUMBER:
    101       return hashnum(t, nvalue(key));
    102     case LUA_TLNGSTR: {
    103       TString *s = rawtsvalue(key);
    104       if (s->tsv.extra == 0) {  /* no hash? */
    105         s->tsv.hash = luaS_hash(getstr(s), s->tsv.len, s->tsv.hash);
    106         s->tsv.extra = 1;  /* now it has its hash */
    107       }
    108       return hashstr(t, rawtsvalue(key));
    109     }
    110     case LUA_TSHRSTR:
    111       return hashstr(t, rawtsvalue(key));
    112     case LUA_TBOOLEAN:
    113       return hashboolean(t, bvalue(key));
    114     case LUA_TLIGHTUSERDATA:
    115       return hashpointer(t, pvalue(key));
    116     case LUA_TLCF:
    117       return hashpointer(t, fvalue(key));
    118     default:
    119       return hashpointer(t, gcvalue(key));
    120   }
    121 }
    122 
    123 
    124 /*
    125 ** returns the index for `key' if `key' is an appropriate key to live in
    126 ** the array part of the table, -1 otherwise.
    127 */
    128 static int arrayindex (const TValue *key) {
    129   if (ttisnumber(key)) {
    130     lua_Number n = nvalue(key);
    131     int k;
    132     lua_number2int(k, n);
    133     if (luai_numeq(cast_num(k), n))
    134       return k;
    135   }
    136   return -1;  /* `key' did not match some condition */
    137 }
    138 
    139 
    140 /*
    141 ** returns the index of a `key' for table traversals. First goes all
    142 ** elements in the array part, then elements in the hash part. The
    143 ** beginning of a traversal is signaled by -1.
    144 */
    145 static int findindex (lua_State *L, Table *t, StkId key) {
    146   int i;
    147   if (ttisnil(key)) return -1;  /* first iteration */
    148   i = arrayindex(key);
    149   if (0 < i && i <= t->sizearray)  /* is `key' inside array part? */
    150     return i-1;  /* yes; that's the index (corrected to C) */
    151   else {
    152     Node *n = mainposition(t, key);
    153     for (;;) {  /* check whether `key' is somewhere in the chain */
    154       /* key may be dead already, but it is ok to use it in `next' */
    155       if (luaV_rawequalobj(gkey(n), key) ||
    156             (ttisdeadkey(gkey(n)) && iscollectable(key) &&
    157              deadvalue(gkey(n)) == gcvalue(key))) {
    158         i = cast_int(n - gnode(t, 0));  /* key index in hash table */
    159         /* hash elements are numbered after array ones */
    160         return i + t->sizearray;
    161       }
    162       else n = gnext(n);
    163       if (n == NULL)
    164         luaG_runerror(L, "invalid key to " LUA_QL("next"));  /* key not found */
    165     }
    166   }
    167 }
    168 
    169 
    170 int luaH_next (lua_State *L, Table *t, StkId key) {
    171   int i = findindex(L, t, key);  /* find original element */
    172   for (i++; i < t->sizearray; i++) {  /* try first array part */
    173     if (!ttisnil(&t->array[i])) {  /* a non-nil value? */
    174       setnvalue(key, cast_num(i+1));
    175       setobj2s(L, key+1, &t->array[i]);
    176       return 1;
    177     }
    178   }
    179   for (i -= t->sizearray; i < sizenode(t); i++) {  /* then hash part */
    180     if (!ttisnil(gval(gnode(t, i)))) {  /* a non-nil value? */
    181       setobj2s(L, key, gkey(gnode(t, i)));
    182       setobj2s(L, key+1, gval(gnode(t, i)));
    183       return 1;
    184     }
    185   }
    186   return 0;  /* no more elements */
    187 }
    188 
    189 
    190 /*
    191 ** {=============================================================
    192 ** Rehash
    193 ** ==============================================================
    194 */
    195 
    196 
    197 static int computesizes (int nums[], int *narray) {
    198   int i;
    199   int twotoi;  /* 2^i */
    200   int a = 0;  /* number of elements smaller than 2^i */
    201   int na = 0;  /* number of elements to go to array part */
    202   int n = 0;  /* optimal size for array part */
    203   for (i = 0, twotoi = 1; twotoi/2 < *narray; i++, twotoi *= 2) {
    204     if (nums[i] > 0) {
    205       a += nums[i];
    206       if (a > twotoi/2) {  /* more than half elements present? */
    207         n = twotoi;  /* optimal size (till now) */
    208         na = a;  /* all elements smaller than n will go to array part */
    209       }
    210     }
    211     if (a == *narray) break;  /* all elements already counted */
    212   }
    213   *narray = n;
    214   lua_assert(*narray/2 <= na && na <= *narray);
    215   return na;
    216 }
    217 
    218 
    219 static int countint (const TValue *key, int *nums) {
    220   int k = arrayindex(key);
    221   if (0 < k && k <= MAXASIZE) {  /* is `key' an appropriate array index? */
    222     nums[luaO_ceillog2(k)]++;  /* count as such */
    223     return 1;
    224   }
    225   else
    226     return 0;
    227 }
    228 
    229 
    230 static int numusearray (const Table *t, int *nums) {
    231   int lg;
    232   int ttlg;  /* 2^lg */
    233   int ause = 0;  /* summation of `nums' */
    234   int i = 1;  /* count to traverse all array keys */
    235   for (lg=0, ttlg=1; lg<=MAXBITS; lg++, ttlg*=2) {  /* for each slice */
    236     int lc = 0;  /* counter */
    237     int lim = ttlg;
    238     if (lim > t->sizearray) {
    239       lim = t->sizearray;  /* adjust upper limit */
    240       if (i > lim)
    241         break;  /* no more elements to count */
    242     }
    243     /* count elements in range (2^(lg-1), 2^lg] */
    244     for (; i <= lim; i++) {
    245       if (!ttisnil(&t->array[i-1]))
    246         lc++;
    247     }
    248     nums[lg] += lc;
    249     ause += lc;
    250   }
    251   return ause;
    252 }
    253 
    254 
    255 static int numusehash (const Table *t, int *nums, int *pnasize) {
    256   int totaluse = 0;  /* total number of elements */
    257   int ause = 0;  /* summation of `nums' */
    258   int i = sizenode(t);
    259   while (i--) {
    260     Node *n = &t->node[i];
    261     if (!ttisnil(gval(n))) {
    262       ause += countint(gkey(n), nums);
    263       totaluse++;
    264     }
    265   }
    266   *pnasize += ause;
    267   return totaluse;
    268 }
    269 
    270 
    271 static void setarrayvector (lua_State *L, Table *t, int size) {
    272   int i;
    273   luaM_reallocvector(L, t->array, t->sizearray, size, TValue);
    274   for (i=t->sizearray; i<size; i++)
    275      setnilvalue(&t->array[i]);
    276   t->sizearray = size;
    277 }
    278 
    279 
    280 static void setnodevector (lua_State *L, Table *t, int size) {
    281   int lsize;
    282   if (size == 0) {  /* no elements to hash part? */
    283     t->node = cast(Node *, dummynode);  /* use common `dummynode' */
    284     lsize = 0;
    285   }
    286   else {
    287     int i;
    288     lsize = luaO_ceillog2(size);
    289     if (lsize > MAXBITS)
    290       luaG_runerror(L, "table overflow");
    291     size = twoto(lsize);
    292     t->node = luaM_newvector(L, size, Node);
    293     for (i=0; i<size; i++) {
    294       Node *n = gnode(t, i);
    295       gnext(n) = NULL;
    296       setnilvalue(gkey(n));
    297       setnilvalue(gval(n));
    298     }
    299   }
    300   t->lsizenode = cast_byte(lsize);
    301   t->lastfree = gnode(t, size);  /* all positions are free */
    302 }
    303 
    304 
    305 void luaH_resize (lua_State *L, Table *t, int nasize, int nhsize) {
    306   int i;
    307   int oldasize = t->sizearray;
    308   int oldhsize = t->lsizenode;
    309   Node *nold = t->node;  /* save old hash ... */
    310   if (nasize > oldasize)  /* array part must grow? */
    311     setarrayvector(L, t, nasize);
    312   /* create new hash part with appropriate size */
    313   setnodevector(L, t, nhsize);
    314   if (nasize < oldasize) {  /* array part must shrink? */
    315     t->sizearray = nasize;
    316     /* re-insert elements from vanishing slice */
    317     for (i=nasize; i<oldasize; i++) {
    318       if (!ttisnil(&t->array[i]))
    319         luaH_setint(L, t, i + 1, &t->array[i]);
    320     }
    321     /* shrink array */
    322     luaM_reallocvector(L, t->array, oldasize, nasize, TValue);
    323   }
    324   /* re-insert elements from hash part */
    325   for (i = twoto(oldhsize) - 1; i >= 0; i--) {
    326     Node *old = nold+i;
    327     if (!ttisnil(gval(old))) {
    328       /* doesn't need barrier/invalidate cache, as entry was
    329          already present in the table */
    330       setobjt2t(L, luaH_set(L, t, gkey(old)), gval(old));
    331     }
    332   }
    333   if (!isdummy(nold))
    334     luaM_freearray(L, nold, cast(size_t, twoto(oldhsize))); /* free old array */
    335 }
    336 
    337 
    338 void luaH_resizearray (lua_State *L, Table *t, int nasize) {
    339   int nsize = isdummy(t->node) ? 0 : sizenode(t);
    340   luaH_resize(L, t, nasize, nsize);
    341 }
    342 
    343 
    344 static void rehash (lua_State *L, Table *t, const TValue *ek) {
    345   int nasize, na;
    346   int nums[MAXBITS+1];  /* nums[i] = number of keys with 2^(i-1) < k <= 2^i */
    347   int i;
    348   int totaluse;
    349   for (i=0; i<=MAXBITS; i++) nums[i] = 0;  /* reset counts */
    350   nasize = numusearray(t, nums);  /* count keys in array part */
    351   totaluse = nasize;  /* all those keys are integer keys */
    352   totaluse += numusehash(t, nums, &nasize);  /* count keys in hash part */
    353   /* count extra key */
    354   nasize += countint(ek, nums);
    355   totaluse++;
    356   /* compute new size for array part */
    357   na = computesizes(nums, &nasize);
    358   /* resize the table to new computed sizes */
    359   luaH_resize(L, t, nasize, totaluse - na);
    360 }
    361 
    362 
    363 
    364 /*
    365 ** }=============================================================
    366 */
    367 
    368 
    369 Table *luaH_new (lua_State *L) {
    370   Table *t = &luaC_newobj(L, LUA_TTABLE, sizeof(Table), NULL, 0)->h;
    371   t->metatable = NULL;
    372   t->flags = cast_byte(~0);
    373   t->array = NULL;
    374   t->sizearray = 0;
    375   setnodevector(L, t, 0);
    376   return t;
    377 }
    378 
    379 
    380 void luaH_free (lua_State *L, Table *t) {
    381   if (!isdummy(t->node))
    382     luaM_freearray(L, t->node, cast(size_t, sizenode(t)));
    383   luaM_freearray(L, t->array, t->sizearray);
    384   luaM_free(L, t);
    385 }
    386 
    387 
    388 static Node *getfreepos (Table *t) {
    389   while (t->lastfree > t->node) {
    390     t->lastfree--;
    391     if (ttisnil(gkey(t->lastfree)))
    392       return t->lastfree;
    393   }
    394   return NULL;  /* could not find a free place */
    395 }
    396 
    397 
    398 
    399 /*
    400 ** inserts a new key into a hash table; first, check whether key's main
    401 ** position is free. If not, check whether colliding node is in its main
    402 ** position or not: if it is not, move colliding node to an empty place and
    403 ** put new key in its main position; otherwise (colliding node is in its main
    404 ** position), new key goes to an empty position.
    405 */
    406 TValue *luaH_newkey (lua_State *L, Table *t, const TValue *key) {
    407   Node *mp;
    408   if (ttisnil(key)) luaG_runerror(L, "table index is nil");
    409   else if (ttisnumber(key) && luai_numisnan(L, nvalue(key)))
    410     luaG_runerror(L, "table index is NaN");
    411   mp = mainposition(t, key);
    412   if (!ttisnil(gval(mp)) || isdummy(mp)) {  /* main position is taken? */
    413     Node *othern;
    414     Node *n = getfreepos(t);  /* get a free place */
    415     if (n == NULL) {  /* cannot find a free place? */
    416       rehash(L, t, key);  /* grow table */
    417       /* whatever called 'newkey' take care of TM cache and GC barrier */
    418       return luaH_set(L, t, key);  /* insert key into grown table */
    419     }
    420     lua_assert(!isdummy(n));
    421     othern = mainposition(t, gkey(mp));
    422     if (othern != mp) {  /* is colliding node out of its main position? */
    423       /* yes; move colliding node into free position */
    424       while (gnext(othern) != mp) othern = gnext(othern);  /* find previous */
    425       gnext(othern) = n;  /* redo the chain with `n' in place of `mp' */
    426       *n = *mp;  /* copy colliding node into free pos. (mp->next also goes) */
    427       gnext(mp) = NULL;  /* now `mp' is free */
    428       setnilvalue(gval(mp));
    429     }
    430     else {  /* colliding node is in its own main position */
    431       /* new node will go into free position */
    432       gnext(n) = gnext(mp);  /* chain new position */
    433       gnext(mp) = n;
    434       mp = n;
    435     }
    436   }
    437   setobj2t(L, gkey(mp), key);
    438   luaC_barrierback(L, obj2gco(t), key);
    439   lua_assert(ttisnil(gval(mp)));
    440   return gval(mp);
    441 }
    442 
    443 
    444 /*
    445 ** search function for integers
    446 */
    447 const TValue *luaH_getint (Table *t, int key) {
    448   /* (1 <= key && key <= t->sizearray) */
    449   if (cast(unsigned int, key-1) < cast(unsigned int, t->sizearray))
    450     return &t->array[key-1];
    451   else {
    452     lua_Number nk = cast_num(key);
    453     Node *n = hashnum(t, nk);
    454     do {  /* check whether `key' is somewhere in the chain */
    455       if (ttisnumber(gkey(n)) && luai_numeq(nvalue(gkey(n)), nk))
    456         return gval(n);  /* that's it */
    457       else n = gnext(n);
    458     } while (n);
    459     return luaO_nilobject;
    460   }
    461 }
    462 
    463 
    464 /*
    465 ** search function for short strings
    466 */
    467 const TValue *luaH_getstr (Table *t, TString *key) {
    468   Node *n = hashstr(t, key);
    469   lua_assert(key->tsv.tt == LUA_TSHRSTR);
    470   do {  /* check whether `key' is somewhere in the chain */
    471     if (ttisshrstring(gkey(n)) && eqshrstr(rawtsvalue(gkey(n)), key))
    472       return gval(n);  /* that's it */
    473     else n = gnext(n);
    474   } while (n);
    475   return luaO_nilobject;
    476 }
    477 
    478 
    479 /*
    480 ** main search function
    481 */
    482 const TValue *luaH_get (Table *t, const TValue *key) {
    483   switch (ttype(key)) {
    484     case LUA_TSHRSTR: return luaH_getstr(t, rawtsvalue(key));
    485     case LUA_TNIL: return luaO_nilobject;
    486     case LUA_TNUMBER: {
    487       int k;
    488       lua_Number n = nvalue(key);
    489       lua_number2int(k, n);
    490       if (luai_numeq(cast_num(k), n)) /* index is int? */
    491         return luaH_getint(t, k);  /* use specialized version */
    492       /* else go through */
    493     }
    494     default: {
    495       Node *n = mainposition(t, key);
    496       do {  /* check whether `key' is somewhere in the chain */
    497         if (luaV_rawequalobj(gkey(n), key))
    498           return gval(n);  /* that's it */
    499         else n = gnext(n);
    500       } while (n);
    501       return luaO_nilobject;
    502     }
    503   }
    504 }
    505 
    506 
    507 /*
    508 ** beware: when using this function you probably need to check a GC
    509 ** barrier and invalidate the TM cache.
    510 */
    511 TValue *luaH_set (lua_State *L, Table *t, const TValue *key) {
    512   const TValue *p = luaH_get(t, key);
    513   if (p != luaO_nilobject)
    514     return cast(TValue *, p);
    515   else return luaH_newkey(L, t, key);
    516 }
    517 
    518 
    519 void luaH_setint (lua_State *L, Table *t, int key, TValue *value) {
    520   const TValue *p = luaH_getint(t, key);
    521   TValue *cell;
    522   if (p != luaO_nilobject)
    523     cell = cast(TValue *, p);
    524   else {
    525     TValue k;
    526     setnvalue(&k, cast_num(key));
    527     cell = luaH_newkey(L, t, &k);
    528   }
    529   setobj2t(L, cell, value);
    530 }
    531 
    532 
    533 static int unbound_search (Table *t, unsigned int j) {
    534   unsigned int i = j;  /* i is zero or a present index */
    535   j++;
    536   /* find `i' and `j' such that i is present and j is not */
    537   while (!ttisnil(luaH_getint(t, j))) {
    538     i = j;
    539     j *= 2;
    540     if (j > cast(unsigned int, MAX_INT)) {  /* overflow? */
    541       /* table was built with bad purposes: resort to linear search */
    542       i = 1;
    543       while (!ttisnil(luaH_getint(t, i))) i++;
    544       return i - 1;
    545     }
    546   }
    547   /* now do a binary search between them */
    548   while (j - i > 1) {
    549     unsigned int m = (i+j)/2;
    550     if (ttisnil(luaH_getint(t, m))) j = m;
    551     else i = m;
    552   }
    553   return i;
    554 }
    555 
    556 
    557 /*
    558 ** Try to find a boundary in table `t'. A `boundary' is an integer index
    559 ** such that t[i] is non-nil and t[i+1] is nil (and 0 if t[1] is nil).
    560 */
    561 int luaH_getn (Table *t) {
    562   unsigned int j = t->sizearray;
    563   if (j > 0 && ttisnil(&t->array[j - 1])) {
    564     /* there is a boundary in the array part: (binary) search for it */
    565     unsigned int i = 0;
    566     while (j - i > 1) {
    567       unsigned int m = (i+j)/2;
    568       if (ttisnil(&t->array[m - 1])) j = m;
    569       else i = m;
    570     }
    571     return i;
    572   }
    573   /* else must find a boundary in hash part */
    574   else if (isdummy(t->node))  /* hash part is empty? */
    575     return j;  /* that is easy... */
    576   else return unbound_search(t, j);
    577 }
    578 
    579 
    580 
    581 #if defined(LUA_DEBUG)
    582 
    583 Node *luaH_mainposition (const Table *t, const TValue *key) {
    584   return mainposition(t, key);
    585 }
    586 
    587 int luaH_isdummy (Node *n) { return isdummy(n); }
    588 
    589 #endif
    590