/* ** $Id: ltable.c,v 1.133 2003/04/28 13:31:46 roberto Exp roberto $ ** Lua tables (hash) ** See Copyright Notice in lua.h */ /* ** Implementation of tables (aka arrays, objects, or hash tables). ** Tables keep its elements in two parts: an array part and a hash part. ** Non-negative integer keys are all candidates to be kept in the array ** part. The actual size of the array is the largest `n' such that at ** least half the slots between 0 and n are in use. ** Hash uses a mix of chained scatter table with Brent's variation. ** A main invariant of these tables is that, if an element is not ** in its main position (i.e. the `original' position that its hash gives ** to it), then the colliding element is in its own main position. ** In other words, there are collisions only when two elements have the ** same main position (i.e. the same hash values for that table size). ** Because of that, the load factor of these tables can be 100% without ** performance penalties. */ #include #define ltable_c #include "lua.h" #include "ldebug.h" #include "ldo.h" #include "lgc.h" #include "lmem.h" #include "lobject.h" #include "lstate.h" #include "ltable.h" /* ** max size of array part is 2^MAXBITS */ #if BITS_INT > 26 #define MAXBITS 24 #else #define MAXBITS (BITS_INT-2) #endif #define MAXASIZE (1 << MAXBITS) /* function to convert a lua_Number to int (with any rounding method) */ #ifndef lua_number2int #define lua_number2int(i,n) ((i)=(int)(n)) #endif #define hashpow2(t,n) (gnode(t, lmod((n), sizenode(t)))) #define hashstr(t,str) hashpow2(t, (str)->tsv.hash) #define hashboolean(t,p) hashpow2(t, p) /* ** for some types, it is better to avoid modulus by power of 2, as ** they tend to have many 2 factors. */ #define hashmod(t,n) (gnode(t, ((n) % ((sizenode(t)-1)|1)))) #define hashpointer(t,p) hashmod(t, IntPoint(p)) /* ** number of ints inside a lua_Number */ #define numints cast(int, sizeof(lua_Number)/sizeof(int)) /* ** hash for lua_Numbers */ static Node *hashnum (const Table *t, lua_Number n) { unsigned int a[numints]; int i; n += 1; /* normalize number (avoid -0) */ lua_assert(sizeof(a) <= sizeof(n)); memcpy(a, &n, sizeof(a)); for (i = 1; i < numints; i++) a[0] += a[i]; return hashmod(t, a[0]); } /* ** returns the `main' position of an element in a table (that is, the index ** of its hash value) */ Node *luaH_mainposition (const Table *t, const TObject *key) { switch (ttype(key)) { case LUA_TNUMBER: return hashnum(t, nvalue(key)); case LUA_TSTRING: return hashstr(t, tsvalue(key)); case LUA_TBOOLEAN: return hashboolean(t, bvalue(key)); case LUA_TLIGHTUSERDATA: return hashpointer(t, pvalue(key)); default: return hashpointer(t, gcvalue(key)); } } /* ** returns the index for `key' if `key' is an appropriate key to live in ** the array part of the table, -1 otherwise. */ static int arrayindex (const TObject *key, lua_Number lim) { if (ttisnumber(key)) { lua_Number n = nvalue(key); int k; if (n <= 0 || n > lim) return -1; /* out of range? */ lua_number2int(k, n); if (cast(lua_Number, k) == nvalue(key)) return k; } return -1; /* `key' did not match some condition */ } /* ** returns the index of a `key' for table traversals. First goes all ** elements in the array part, then elements in the hash part. The ** beginning and end of a traversal are signalled by -1. */ static int luaH_index (lua_State *L, Table *t, StkId key) { int i; if (ttisnil(key)) return -1; /* first iteration */ i = arrayindex(key, t->sizearray); if (0 <= i) { /* is `key' inside array part? */ return i-1; /* yes; that's the index (corrected to C) */ } else { const TObject *v = luaH_get(t, key); if (v == &luaO_nilobject) luaG_runerror(L, "invalid key for `next'"); i = cast(int, (cast(const lu_byte *, v) - cast(const lu_byte *, gval(gnode(t, 0)))) / sizeof(Node)); return i + t->sizearray; /* hash elements are numbered after array ones */ } } int luaH_next (lua_State *L, Table *t, StkId key) { int i = luaH_index(L, t, key); /* find original element */ for (i++; i < t->sizearray; i++) { /* try first array part */ if (!ttisnil(&t->array[i])) { /* a non-nil value? */ setnvalue(key, cast(lua_Number, i+1)); setobj2s(key+1, &t->array[i]); return 1; } } for (i -= t->sizearray; i < sizenode(t); i++) { /* then hash part */ if (!ttisnil(gval(gnode(t, i)))) { /* a non-nil value? */ setobj2s(key, gkey(gnode(t, i))); setobj2s(key+1, gval(gnode(t, i))); return 1; } } return 0; /* no more elements */ } /* ** {============================================================= ** Rehash ** ============================================================== */ static void computesizes (int nums[], int ntotal, int *narray, int *nhash) { int i; int a = nums[0]; /* number of elements smaller than 2^i */ int na = a; /* number of elements to go to array part */ int n = (na == 0) ? -1 : 0; /* (log of) optimal size for array part */ for (i = 1; a < *narray && *narray >= twoto(i-1); i++) { if (nums[i] > 0) { a += nums[i]; if (a >= twoto(i-1)) { /* more than half elements in use? */ n = i; na = a; } } } lua_assert(na <= *narray && *narray <= ntotal); *nhash = ntotal - na; *narray = (n == -1) ? 0 : twoto(n); lua_assert(na <= *narray && na >= *narray/2); } static void numuse (const Table *t, int *narray, int *nhash) { int nums[MAXBITS+1]; int i, lg; int totaluse = 0; lua_Number sizelimit; /* an upper bound for the array size */ /* count elements in array part */ for (i=0, lg=0; lg<=MAXBITS; lg++) { /* for each slice [2^(lg-1) to 2^lg) */ int ttlg = twoto(lg); /* 2^lg */ if (ttlg > t->sizearray) { ttlg = t->sizearray; if (i >= ttlg) break; } nums[lg] = 0; for (; iarray[i])) { nums[lg]++; totaluse++; } } } for (; lg<=MAXBITS; lg++) nums[lg] = 0; /* reset other counts */ *narray = totaluse; /* all previous uses were in array part */ /* count elements in hash part */ i = sizenode(t); /* array part cannot be larger than twice the maximum number of elements */ sizelimit = cast(lua_Number, totaluse + i) * 2; if (sizelimit >= MAXASIZE) sizelimit = MAXASIZE; while (i--) { Node *n = &t->node[i]; if (!ttisnil(gval(n))) { int k = arrayindex(gkey(n), sizelimit); if (k >= 0) { /* is `key' an appropriate array index? */ nums[luaO_log2(k-1)+1]++; /* count as such */ (*narray)++; } totaluse++; } } computesizes(nums, totaluse, narray, nhash); } static void setarrayvector (lua_State *L, Table *t, int size) { int i; luaM_reallocvector(L, t->array, t->sizearray, size, TObject); for (i=t->sizearray; iarray[i]); t->sizearray = size; } static void setnodevector (lua_State *L, Table *t, int lsize) { int i; int size = twoto(lsize); if (lsize > MAXBITS) luaG_runerror(L, "table overflow"); if (lsize == 0) { /* no elements to hash part? */ t->node = G(L)->dummynode; /* use common `dummynode' */ lua_assert(ttisnil(gkey(t->node))); /* assert invariants: */ lua_assert(ttisnil(gval(t->node))); lua_assert(t->node->next == NULL); /* (`dummynode' must be empty) */ } else { t->node = luaM_newvector(L, size, Node); for (i=0; inode[i].next = NULL; setnilvalue(gkey(gnode(t, i))); setnilvalue(gval(gnode(t, i))); } } t->lsizenode = cast(lu_byte, lsize); t->firstfree = gnode(t, size-1); /* first free position to be used */ } static void resize (lua_State *L, Table *t, int nasize, int nhsize) { int i; int oldasize = t->sizearray; int oldhsize = t->lsizenode; Node *nold; Node temp[1]; if (oldhsize) nold = t->node; /* save old hash ... */ else { /* old hash is `dummynode' */ lua_assert(t->node == G(L)->dummynode); temp[0] = t->node[0]; /* copy it to `temp' */ nold = temp; setnilvalue(gkey(G(L)->dummynode)); /* restate invariant */ setnilvalue(gval(G(L)->dummynode)); lua_assert(G(L)->dummynode->next == NULL); } if (nasize > oldasize) /* array part must grow? */ setarrayvector(L, t, nasize); /* create new hash part with appropriate size */ setnodevector(L, t, nhsize); /* re-insert elements */ if (nasize < oldasize) { /* array part must shrink? */ t->sizearray = nasize; /* re-insert elements from vanishing slice */ for (i=nasize; iarray[i])) setobjt2t(luaH_setnum(L, t, i+1), &t->array[i]); } /* shrink array */ luaM_reallocvector(L, t->array, oldasize, nasize, TObject); } /* re-insert elements in hash part */ for (i = twoto(oldhsize) - 1; i >= 0; i--) { Node *old = nold+i; if (!ttisnil(gval(old))) setobjt2t(luaH_set(L, t, gkey(old)), gval(old)); } if (oldhsize) luaM_freearray(L, nold, twoto(oldhsize), Node); /* free old array */ } static void rehash (lua_State *L, Table *t) { int nasize, nhsize; numuse(t, &nasize, &nhsize); /* compute new sizes for array and hash parts */ resize(L, t, nasize, luaO_log2(nhsize)+1); } /* ** }============================================================= */ Table *luaH_new (lua_State *L, int narray, int lnhash) { Table *t = luaM_new(L, Table); luaC_link(L, valtogco(t), LUA_TTABLE); t->metatable = hvalue(defaultmeta(L)); t->flags = cast(lu_byte, ~0); /* temporary values (kept only if some malloc fails) */ t->array = NULL; t->sizearray = 0; t->lsizenode = 0; t->node = NULL; setarrayvector(L, t, narray); setnodevector(L, t, lnhash); return t; } void luaH_free (lua_State *L, Table *t) { if (t->lsizenode) luaM_freearray(L, t->node, sizenode(t), Node); luaM_freearray(L, t->array, t->sizearray, TObject); luaM_freelem(L, t); } #if 0 /* ** try to remove an element from a hash table; cannot move any element ** (because gc can call `remove' during a table traversal) */ void luaH_remove (Table *t, Node *e) { Node *mp = luaH_mainposition(t, gkey(e)); if (e != mp) { /* element not in its main position? */ while (mp->next != e) mp = mp->next; /* find previous */ mp->next = e->next; /* remove `e' from its list */ } else { if (e->next != NULL) ?? } lua_assert(ttisnil(gval(node))); setnilvalue(gkey(e)); /* clear node `e' */ e->next = NULL; } #endif /* ** inserts a new key into a hash table; first, check whether key's main ** position is free. If not, check whether colliding node is in its main ** position or not: if it is not, move colliding node to an empty place and ** put new key in its main position; otherwise (colliding node is in its main ** position), new key goes to an empty position. */ static TObject *newkey (lua_State *L, Table *t, const TObject *key) { TObject *val; Node *mp = luaH_mainposition(t, key); if (!ttisnil(gval(mp))) { /* main position is not free? */ Node *othern = luaH_mainposition(t, gkey(mp)); /* `mp' of colliding node */ Node *n = t->firstfree; /* get a free place */ if (othern != mp) { /* is colliding node out of its main position? */ /* yes; move colliding node into free position */ while (othern->next != mp) othern = othern->next; /* find previous */ othern->next = n; /* redo the chain with `n' in place of `mp' */ *n = *mp; /* copy colliding node into free pos. (mp->next also goes) */ mp->next = NULL; /* now `mp' is free */ setnilvalue(gval(mp)); } else { /* colliding node is in its own main position */ /* new node will go into free position */ n->next = mp->next; /* chain new position */ mp->next = n; mp = n; } } setobj2t(gkey(mp), key); /* write barrier */ lua_assert(ttisnil(gval(mp))); for (;;) { /* correct `firstfree' */ if (ttisnil(gkey(t->firstfree))) return gval(mp); /* OK; table still has a free place */ else if (t->firstfree == t->node) break; /* cannot decrement from here */ else (t->firstfree)--; } /* no more free places; must create one */ setbvalue(gval(mp), 0); /* avoid new key being removed */ rehash(L, t); /* grow table */ val = cast(TObject *, luaH_get(t, key)); /* get new position */ lua_assert(ttisboolean(val)); setnilvalue(val); return val; } /* ** generic search function */ static const TObject *luaH_getany (Table *t, const TObject *key) { if (ttisnil(key)) return &luaO_nilobject; else { Node *n = luaH_mainposition(t, key); do { /* check whether `key' is somewhere in the chain */ if (luaO_rawequalObj(gkey(n), key)) return gval(n); /* that's it */ else n = n->next; } while (n); return &luaO_nilobject; } } /* ** search function for integers */ const TObject *luaH_getnum (Table *t, int key) { if (1 <= key && key <= t->sizearray) return &t->array[key-1]; else { lua_Number nk = cast(lua_Number, key); Node *n = hashnum(t, nk); do { /* check whether `key' is somewhere in the chain */ if (ttisnumber(gkey(n)) && nvalue(gkey(n)) == nk) return gval(n); /* that's it */ else n = n->next; } while (n); return &luaO_nilobject; } } /* ** search function for strings */ const TObject *luaH_getstr (Table *t, TString *key) { Node *n = hashstr(t, key); do { /* check whether `key' is somewhere in the chain */ if (ttisstring(gkey(n)) && tsvalue(gkey(n)) == key) return gval(n); /* that's it */ else n = n->next; } while (n); return &luaO_nilobject; } /* ** main search function */ const TObject *luaH_get (Table *t, const TObject *key) { switch (ttype(key)) { case LUA_TSTRING: return luaH_getstr(t, tsvalue(key)); case LUA_TNUMBER: { int k; lua_number2int(k, (nvalue(key))); if (cast(lua_Number, k) == nvalue(key)) /* is an integer index? */ return luaH_getnum(t, k); /* use specialized version */ /* else go through */ } default: return luaH_getany(t, key); } } TObject *luaH_set (lua_State *L, Table *t, const TObject *key) { const TObject *p = luaH_get(t, key); t->flags = 0; if (p != &luaO_nilobject) return cast(TObject *, p); else { if (ttisnil(key)) luaG_runerror(L, "table index is nil"); else if (ttisnumber(key) && nvalue(key) != nvalue(key)) luaG_runerror(L, "table index is NaN"); return newkey(L, t, key); } } TObject *luaH_setnum (lua_State *L, Table *t, int key) { const TObject *p = luaH_getnum(t, key); if (p != &luaO_nilobject) return cast(TObject *, p); else { TObject k; setnvalue(&k, cast(lua_Number, key)); return newkey(L, t, &k); } }