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
71static const Node dummynode_ = {
72  {NILCONSTANT},  /* value */
73  {{NILCONSTANT, NULL}}  /* key */
74};
75
76
77/*
78** hash for lua_Numbers
79*/
80static 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*/
97static 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*/
127static 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*/
144static 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
169int 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
196static 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
218static 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
229static 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
254static 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
270static 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
279static 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
304void 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
337void 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
343static 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
368Table *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
379void 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
387static 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*/
405TValue *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*/
446const 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*/
466const 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*/
481const 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*/
510TValue *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
518void 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
532static 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*/
560int 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
582Node *luaH_mainposition (const Table *t, const TValue *key) {
583  return mainposition(t, key);
584}
585
586int luaH_isdummy (Node *n) { return isdummy(n); }
587
588#endif
589