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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. 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.