1 | /* |
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2 | ** $Id: ltable.c,v 2.32.1.2 2007/12/28 15:32:23 roberto Exp $ |
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3 | ** Lua tables (hash) |
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4 | ** See Copyright Notice in lua.h |
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5 | */ |
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6 | |
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7 | |
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8 | /* |
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9 | ** Implementation of tables (aka arrays, objects, or hash tables). |
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10 | ** Tables keep its elements in two parts: an array part and a hash part. |
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11 | ** Non-negative integer keys are all candidates to be kept in the array |
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12 | ** part. The actual size of the array is the largest `n' such that at |
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13 | ** least half the slots between 0 and n are in use. |
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14 | ** Hash uses a mix of chained scatter table with Brent's variation. |
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15 | ** A main invariant of these tables is that, if an element is not |
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16 | ** in its main position (i.e. the `original' position that its hash gives |
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17 | ** to it), then the colliding element is in its own main position. |
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18 | ** Hence even when the load factor reaches 100%, performance remains good. |
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19 | */ |
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20 | |
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21 | #include <math.h> |
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22 | #include <string.h> |
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23 | |
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24 | #define ltable_c |
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25 | #define LUA_CORE |
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26 | |
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27 | #include "lua.h" |
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28 | |
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29 | #include "ldebug.h" |
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30 | #include "ldo.h" |
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31 | #include "lgc.h" |
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32 | #include "lmem.h" |
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33 | #include "lobject.h" |
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34 | #include "lstate.h" |
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35 | #include "ltable.h" |
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36 | |
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37 | |
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38 | /* |
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39 | ** max size of array part is 2^MAXBITS |
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40 | */ |
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41 | #if LUAI_BITSINT > 26 |
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42 | #define MAXBITS 26 |
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43 | #else |
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44 | #define MAXBITS (LUAI_BITSINT-2) |
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45 | #endif |
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46 | |
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47 | #define MAXASIZE (1 << MAXBITS) |
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48 | |
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49 | |
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50 | #define hashpow2(t,n) (gnode(t, lmod((n), sizenode(t)))) |
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51 | |
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52 | #define hashstr(t,str) hashpow2(t, (str)->tsv.hash) |
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53 | #define hashboolean(t,p) hashpow2(t, p) |
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54 | |
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55 | |
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56 | /* |
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57 | ** for some types, it is better to avoid modulus by power of 2, as |
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58 | ** they tend to have many 2 factors. |
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59 | */ |
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60 | #define hashmod(t,n) (gnode(t, ((n) % ((sizenode(t)-1)|1)))) |
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61 | |
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62 | |
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63 | #define hashpointer(t,p) hashmod(t, IntPoint(p)) |
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64 | |
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65 | |
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66 | /* |
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67 | ** number of ints inside a lua_Number |
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68 | */ |
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69 | #define numints cast_int(sizeof(lua_Number)/sizeof(int)) |
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70 | |
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71 | |
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72 | |
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73 | #define dummynode (&dummynode_) |
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74 | |
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75 | static const Node dummynode_ = { |
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76 | {{NULL}, LUA_TNIL}, /* value */ |
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77 | {{{NULL}, LUA_TNIL, NULL}} /* key */ |
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78 | }; |
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79 | |
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80 | |
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81 | /* |
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82 | ** hash for lua_Numbers |
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83 | */ |
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84 | static Node *hashnum (const Table *t, lua_Number n) { |
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85 | unsigned int a[numints]; |
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86 | int i; |
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87 | if (luai_numeq(n, 0)) /* avoid problems with -0 */ |
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88 | return gnode(t, 0); |
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89 | memcpy(a, &n, sizeof(a)); |
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90 | for (i = 1; i < numints; i++) a[0] += a[i]; |
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91 | return hashmod(t, a[0]); |
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92 | } |
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93 | |
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94 | |
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95 | |
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96 | /* |
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97 | ** returns the `main' position of an element in a table (that is, the index |
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98 | ** of its hash value) |
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99 | */ |
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100 | static Node *mainposition (const Table *t, const TValue *key) { |
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101 | switch (ttype(key)) { |
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102 | case LUA_TNUMBER: |
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103 | return hashnum(t, nvalue(key)); |
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104 | case LUA_TSTRING: |
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105 | return hashstr(t, rawtsvalue(key)); |
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106 | case LUA_TBOOLEAN: |
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107 | return hashboolean(t, bvalue(key)); |
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108 | case LUA_TLIGHTUSERDATA: |
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109 | return hashpointer(t, pvalue(key)); |
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110 | default: |
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111 | return hashpointer(t, gcvalue(key)); |
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112 | } |
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113 | } |
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114 | |
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115 | |
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116 | /* |
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117 | ** returns the index for `key' if `key' is an appropriate key to live in |
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118 | ** the array part of the table, -1 otherwise. |
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119 | */ |
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120 | static int arrayindex (const TValue *key) { |
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121 | if (ttisnumber(key)) { |
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122 | lua_Number n = nvalue(key); |
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123 | int k; |
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124 | lua_number2int(k, n); |
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125 | if (luai_numeq(cast_num(k), n)) |
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126 | return k; |
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127 | } |
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128 | return -1; /* `key' did not match some condition */ |
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129 | } |
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130 | |
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131 | |
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132 | /* |
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133 | ** returns the index of a `key' for table traversals. First goes all |
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134 | ** elements in the array part, then elements in the hash part. The |
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135 | ** beginning of a traversal is signalled by -1. |
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136 | */ |
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137 | static int findindex (lua_State *L, Table *t, StkId key) { |
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138 | int i; |
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139 | if (ttisnil(key)) return -1; /* first iteration */ |
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140 | i = arrayindex(key); |
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141 | if (0 < i && i <= t->sizearray) /* is `key' inside array part? */ |
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142 | return i-1; /* yes; that's the index (corrected to C) */ |
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143 | else { |
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144 | Node *n = mainposition(t, key); |
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145 | do { /* check whether `key' is somewhere in the chain */ |
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146 | /* key may be dead already, but it is ok to use it in `next' */ |
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147 | if (luaO_rawequalObj(key2tval(n), key) || |
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148 | (ttype(gkey(n)) == LUA_TDEADKEY && iscollectable(key) && |
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149 | gcvalue(gkey(n)) == gcvalue(key))) { |
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150 | i = cast_int(n - gnode(t, 0)); /* key index in hash table */ |
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151 | /* hash elements are numbered after array ones */ |
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152 | return i + t->sizearray; |
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153 | } |
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154 | else n = gnext(n); |
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155 | } while (n); |
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156 | luaG_runerror(L, "invalid key to " LUA_QL("next")); /* key not found */ |
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157 | return 0; /* to avoid warnings */ |
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158 | } |
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159 | } |
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160 | |
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161 | |
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162 | int luaH_next (lua_State *L, Table *t, StkId key) { |
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163 | int i = findindex(L, t, key); /* find original element */ |
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164 | for (i++; i < t->sizearray; i++) { /* try first array part */ |
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165 | if (!ttisnil(&t->array[i])) { /* a non-nil value? */ |
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166 | setnvalue(key, cast_num(i+1)); |
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167 | setobj2s(L, key+1, &t->array[i]); |
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168 | return 1; |
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169 | } |
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170 | } |
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171 | for (i -= t->sizearray; i < sizenode(t); i++) { /* then hash part */ |
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172 | if (!ttisnil(gval(gnode(t, i)))) { /* a non-nil value? */ |
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173 | setobj2s(L, key, key2tval(gnode(t, i))); |
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174 | setobj2s(L, key+1, gval(gnode(t, i))); |
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175 | return 1; |
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176 | } |
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177 | } |
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178 | return 0; /* no more elements */ |
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179 | } |
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180 | |
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181 | |
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182 | /* |
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183 | ** {============================================================= |
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184 | ** Rehash |
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185 | ** ============================================================== |
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186 | */ |
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187 | |
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188 | |
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189 | static int computesizes (int nums[], int *narray) { |
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190 | int i; |
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191 | int twotoi; /* 2^i */ |
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192 | int a = 0; /* number of elements smaller than 2^i */ |
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193 | int na = 0; /* number of elements to go to array part */ |
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194 | int n = 0; /* optimal size for array part */ |
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195 | for (i = 0, twotoi = 1; twotoi/2 < *narray; i++, twotoi *= 2) { |
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196 | if (nums[i] > 0) { |
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197 | a += nums[i]; |
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198 | if (a > twotoi/2) { /* more than half elements present? */ |
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199 | n = twotoi; /* optimal size (till now) */ |
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200 | na = a; /* all elements smaller than n will go to array part */ |
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201 | } |
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202 | } |
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203 | if (a == *narray) break; /* all elements already counted */ |
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204 | } |
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205 | *narray = n; |
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206 | lua_assert(*narray/2 <= na && na <= *narray); |
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207 | return na; |
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208 | } |
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209 | |
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210 | |
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211 | static int countint (const TValue *key, int *nums) { |
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212 | int k = arrayindex(key); |
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213 | if (0 < k && k <= MAXASIZE) { /* is `key' an appropriate array index? */ |
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214 | nums[ceillog2(k)]++; /* count as such */ |
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215 | return 1; |
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216 | } |
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217 | else |
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218 | return 0; |
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219 | } |
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220 | |
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221 | |
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222 | static int numusearray (const Table *t, int *nums) { |
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223 | int lg; |
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224 | int ttlg; /* 2^lg */ |
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225 | int ause = 0; /* summation of `nums' */ |
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226 | int i = 1; /* count to traverse all array keys */ |
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227 | for (lg=0, ttlg=1; lg<=MAXBITS; lg++, ttlg*=2) { /* for each slice */ |
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228 | int lc = 0; /* counter */ |
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229 | int lim = ttlg; |
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230 | if (lim > t->sizearray) { |
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231 | lim = t->sizearray; /* adjust upper limit */ |
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232 | if (i > lim) |
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233 | break; /* no more elements to count */ |
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234 | } |
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235 | /* count elements in range (2^(lg-1), 2^lg] */ |
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236 | for (; i <= lim; i++) { |
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237 | if (!ttisnil(&t->array[i-1])) |
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238 | lc++; |
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239 | } |
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240 | nums[lg] += lc; |
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241 | ause += lc; |
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242 | } |
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243 | return ause; |
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244 | } |
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245 | |
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246 | |
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247 | static int numusehash (const Table *t, int *nums, int *pnasize) { |
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248 | int totaluse = 0; /* total number of elements */ |
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249 | int ause = 0; /* summation of `nums' */ |
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250 | int i = sizenode(t); |
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251 | while (i--) { |
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252 | Node *n = &t->node[i]; |
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253 | if (!ttisnil(gval(n))) { |
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254 | ause += countint(key2tval(n), nums); |
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255 | totaluse++; |
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256 | } |
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257 | } |
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258 | *pnasize += ause; |
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259 | return totaluse; |
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260 | } |
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261 | |
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262 | |
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263 | static void setarrayvector (lua_State *L, Table *t, int size) { |
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264 | int i; |
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265 | luaM_reallocvector(L, t->array, t->sizearray, size, TValue); |
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266 | for (i=t->sizearray; i<size; i++) |
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267 | setnilvalue(&t->array[i]); |
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268 | t->sizearray = size; |
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269 | } |
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270 | |
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271 | |
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272 | static void setnodevector (lua_State *L, Table *t, int size) { |
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273 | int lsize; |
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274 | if (size == 0) { /* no elements to hash part? */ |
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275 | t->node = cast(Node *, dummynode); /* use common `dummynode' */ |
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276 | lsize = 0; |
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277 | } |
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278 | else { |
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279 | int i; |
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280 | lsize = ceillog2(size); |
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281 | if (lsize > MAXBITS) |
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282 | luaG_runerror(L, "table overflow"); |
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283 | size = twoto(lsize); |
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284 | t->node = luaM_newvector(L, size, Node); |
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285 | for (i=0; i<size; i++) { |
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286 | Node *n = gnode(t, i); |
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287 | gnext(n) = NULL; |
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288 | setnilvalue(gkey(n)); |
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289 | setnilvalue(gval(n)); |
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290 | } |
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291 | } |
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292 | t->lsizenode = cast_byte(lsize); |
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293 | t->lastfree = gnode(t, size); /* all positions are free */ |
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294 | } |
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295 | |
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296 | |
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297 | static void resize (lua_State *L, Table *t, int nasize, int nhsize) { |
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298 | int i; |
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299 | int oldasize = t->sizearray; |
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300 | int oldhsize = t->lsizenode; |
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301 | Node *nold = t->node; /* save old hash ... */ |
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302 | if (nasize > oldasize) /* array part must grow? */ |
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303 | setarrayvector(L, t, nasize); |
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304 | /* create new hash part with appropriate size */ |
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305 | setnodevector(L, t, nhsize); |
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306 | if (nasize < oldasize) { /* array part must shrink? */ |
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307 | t->sizearray = nasize; |
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308 | /* re-insert elements from vanishing slice */ |
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309 | for (i=nasize; i<oldasize; i++) { |
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310 | if (!ttisnil(&t->array[i])) |
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311 | setobjt2t(L, luaH_setnum(L, t, i+1), &t->array[i]); |
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312 | } |
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313 | /* shrink array */ |
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314 | luaM_reallocvector(L, t->array, oldasize, nasize, TValue); |
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315 | } |
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316 | /* re-insert elements from hash part */ |
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317 | for (i = twoto(oldhsize) - 1; i >= 0; i--) { |
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318 | Node *old = nold+i; |
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319 | if (!ttisnil(gval(old))) |
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320 | setobjt2t(L, luaH_set(L, t, key2tval(old)), gval(old)); |
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321 | } |
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322 | if (nold != dummynode) |
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323 | luaM_freearray(L, nold, twoto(oldhsize), Node); /* free old array */ |
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324 | } |
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325 | |
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326 | |
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327 | void luaH_resizearray (lua_State *L, Table *t, int nasize) { |
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328 | int nsize = (t->node == dummynode) ? 0 : sizenode(t); |
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329 | resize(L, t, nasize, nsize); |
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330 | } |
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331 | |
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332 | |
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333 | static void rehash (lua_State *L, Table *t, const TValue *ek) { |
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334 | int nasize, na; |
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335 | int nums[MAXBITS+1]; /* nums[i] = number of keys between 2^(i-1) and 2^i */ |
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336 | int i; |
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337 | int totaluse; |
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338 | for (i=0; i<=MAXBITS; i++) nums[i] = 0; /* reset counts */ |
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339 | nasize = numusearray(t, nums); /* count keys in array part */ |
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340 | totaluse = nasize; /* all those keys are integer keys */ |
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341 | totaluse += numusehash(t, nums, &nasize); /* count keys in hash part */ |
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342 | /* count extra key */ |
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343 | nasize += countint(ek, nums); |
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344 | totaluse++; |
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345 | /* compute new size for array part */ |
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346 | na = computesizes(nums, &nasize); |
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347 | /* resize the table to new computed sizes */ |
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348 | resize(L, t, nasize, totaluse - na); |
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349 | } |
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350 | |
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351 | |
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352 | |
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353 | /* |
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354 | ** }============================================================= |
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355 | */ |
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356 | |
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357 | |
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358 | Table *luaH_new (lua_State *L, int narray, int nhash) { |
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359 | Table *t = luaM_new(L, Table); |
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360 | luaC_link(L, obj2gco(t), LUA_TTABLE); |
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361 | t->metatable = NULL; |
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362 | t->flags = cast_byte(~0); |
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363 | /* temporary values (kept only if some malloc fails) */ |
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364 | t->array = NULL; |
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365 | t->sizearray = 0; |
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366 | t->lsizenode = 0; |
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367 | t->node = cast(Node *, dummynode); |
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368 | setarrayvector(L, t, narray); |
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369 | setnodevector(L, t, nhash); |
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370 | return t; |
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371 | } |
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372 | |
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373 | |
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374 | void luaH_free (lua_State *L, Table *t) { |
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375 | if (t->node != dummynode) |
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376 | luaM_freearray(L, t->node, sizenode(t), Node); |
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377 | luaM_freearray(L, t->array, t->sizearray, TValue); |
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378 | luaM_free(L, t); |
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379 | } |
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380 | |
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381 | |
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382 | static Node *getfreepos (Table *t) { |
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383 | while (t->lastfree-- > t->node) { |
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384 | if (ttisnil(gkey(t->lastfree))) |
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385 | return t->lastfree; |
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386 | } |
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387 | return NULL; /* could not find a free place */ |
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388 | } |
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389 | |
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390 | |
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391 | |
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392 | /* |
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393 | ** inserts a new key into a hash table; first, check whether key's main |
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394 | ** position is free. If not, check whether colliding node is in its main |
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395 | ** position or not: if it is not, move colliding node to an empty place and |
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396 | ** put new key in its main position; otherwise (colliding node is in its main |
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397 | ** position), new key goes to an empty position. |
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398 | */ |
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399 | static TValue *newkey (lua_State *L, Table *t, const TValue *key) { |
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400 | Node *mp = mainposition(t, key); |
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401 | if (!ttisnil(gval(mp)) || mp == dummynode) { |
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402 | Node *othern; |
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403 | Node *n = getfreepos(t); /* get a free place */ |
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404 | if (n == NULL) { /* cannot find a free place? */ |
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405 | rehash(L, t, key); /* grow table */ |
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406 | return luaH_set(L, t, key); /* re-insert key into grown table */ |
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407 | } |
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408 | lua_assert(n != dummynode); |
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409 | othern = mainposition(t, key2tval(mp)); |
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410 | if (othern != mp) { /* is colliding node out of its main position? */ |
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411 | /* yes; move colliding node into free position */ |
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412 | while (gnext(othern) != mp) othern = gnext(othern); /* find previous */ |
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413 | gnext(othern) = n; /* redo the chain with `n' in place of `mp' */ |
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414 | *n = *mp; /* copy colliding node into free pos. (mp->next also goes) */ |
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415 | gnext(mp) = NULL; /* now `mp' is free */ |
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416 | setnilvalue(gval(mp)); |
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417 | } |
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418 | else { /* colliding node is in its own main position */ |
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419 | /* new node will go into free position */ |
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420 | gnext(n) = gnext(mp); /* chain new position */ |
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421 | gnext(mp) = n; |
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422 | mp = n; |
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423 | } |
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424 | } |
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425 | gkey(mp)->value = key->value; gkey(mp)->tt = key->tt; |
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426 | luaC_barriert(L, t, key); |
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427 | lua_assert(ttisnil(gval(mp))); |
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428 | return gval(mp); |
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429 | } |
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430 | |
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431 | |
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432 | /* |
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433 | ** search function for integers |
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434 | */ |
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435 | const TValue *luaH_getnum (Table *t, int key) { |
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436 | /* (1 <= key && key <= t->sizearray) */ |
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437 | if (cast(unsigned int, key-1) < cast(unsigned int, t->sizearray)) |
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438 | return &t->array[key-1]; |
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439 | else { |
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440 | lua_Number nk = cast_num(key); |
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441 | Node *n = hashnum(t, nk); |
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442 | do { /* check whether `key' is somewhere in the chain */ |
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443 | if (ttisnumber(gkey(n)) && luai_numeq(nvalue(gkey(n)), nk)) |
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444 | return gval(n); /* that's it */ |
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445 | else n = gnext(n); |
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446 | } while (n); |
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447 | return luaO_nilobject; |
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448 | } |
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449 | } |
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450 | |
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451 | |
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452 | /* |
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453 | ** search function for strings |
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454 | */ |
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455 | const TValue *luaH_getstr (Table *t, TString *key) { |
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456 | Node *n = hashstr(t, key); |
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457 | do { /* check whether `key' is somewhere in the chain */ |
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458 | if (ttisstring(gkey(n)) && rawtsvalue(gkey(n)) == key) |
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459 | return gval(n); /* that's it */ |
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460 | else n = gnext(n); |
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461 | } while (n); |
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462 | return luaO_nilobject; |
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463 | } |
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464 | |
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465 | |
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466 | /* |
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467 | ** main search function |
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468 | */ |
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469 | const TValue *luaH_get (Table *t, const TValue *key) { |
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470 | switch (ttype(key)) { |
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471 | case LUA_TNIL: return luaO_nilobject; |
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472 | case LUA_TSTRING: return luaH_getstr(t, rawtsvalue(key)); |
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473 | case LUA_TNUMBER: { |
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474 | int k; |
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475 | lua_Number n = nvalue(key); |
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476 | lua_number2int(k, n); |
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477 | if (luai_numeq(cast_num(k), nvalue(key))) /* index is int? */ |
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478 | return luaH_getnum(t, k); /* use specialized version */ |
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479 | /* else go through */ |
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480 | } |
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481 | default: { |
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482 | Node *n = mainposition(t, key); |
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483 | do { /* check whether `key' is somewhere in the chain */ |
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484 | if (luaO_rawequalObj(key2tval(n), key)) |
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485 | return gval(n); /* that's it */ |
---|
486 | else n = gnext(n); |
---|
487 | } while (n); |
---|
488 | return luaO_nilobject; |
---|
489 | } |
---|
490 | } |
---|
491 | } |
---|
492 | |
---|
493 | |
---|
494 | TValue *luaH_set (lua_State *L, Table *t, const TValue *key) { |
---|
495 | const TValue *p = luaH_get(t, key); |
---|
496 | t->flags = 0; |
---|
497 | if (p != luaO_nilobject) |
---|
498 | return cast(TValue *, p); |
---|
499 | else { |
---|
500 | if (ttisnil(key)) luaG_runerror(L, "table index is nil"); |
---|
501 | else if (ttisnumber(key) && luai_numisnan(nvalue(key))) |
---|
502 | luaG_runerror(L, "table index is NaN"); |
---|
503 | return newkey(L, t, key); |
---|
504 | } |
---|
505 | } |
---|
506 | |
---|
507 | |
---|
508 | TValue *luaH_setnum (lua_State *L, Table *t, int key) { |
---|
509 | const TValue *p = luaH_getnum(t, key); |
---|
510 | if (p != luaO_nilobject) |
---|
511 | return cast(TValue *, p); |
---|
512 | else { |
---|
513 | TValue k; |
---|
514 | setnvalue(&k, cast_num(key)); |
---|
515 | return newkey(L, t, &k); |
---|
516 | } |
---|
517 | } |
---|
518 | |
---|
519 | |
---|
520 | TValue *luaH_setstr (lua_State *L, Table *t, TString *key) { |
---|
521 | const TValue *p = luaH_getstr(t, key); |
---|
522 | if (p != luaO_nilobject) |
---|
523 | return cast(TValue *, p); |
---|
524 | else { |
---|
525 | TValue k; |
---|
526 | setsvalue(L, &k, key); |
---|
527 | return newkey(L, t, &k); |
---|
528 | } |
---|
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_getnum(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_getnum(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_getnum(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 (t->node == dummynode) /* 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 n == dummynode; } |
---|
587 | |
---|
588 | #endif |
---|