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113f3912c7cb
util/indexedbheap.lua

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util/indexedbheap.lua @ 11432:113f3912c7cb

util: Add Teal interface definition files Enables writing code in Teal that is aware of the interfaces and function prototypes in these other utils. Could also be used to do type checks on Lua sources, but this tends to have a lot of noise.
author Kim Alvefur <zash@zash.se>
date Tue, 09 Mar 2021 14:36:46 +0100
parent 11115:7d4c292f178e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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f62ad84811df util.indexedbheap: A priority queue implementation with a reverse index with no per-entry memory allocation.
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1
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2 local setmetatable = setmetatable;
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3 local math_floor = math.floor;
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4 local t_remove = table.remove;
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5
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6 local function _heap_insert(self, item, sync, item2, index)
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7 local pos = #self + 1;
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8 while true do
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9 local half_pos = math_floor(pos / 2);
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10 if half_pos == 0 or item > self[half_pos] then break; end
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11 self[pos] = self[half_pos];
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12 sync[pos] = sync[half_pos];
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13 index[sync[pos]] = pos;
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14 pos = half_pos;
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15 end
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16 self[pos] = item;
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17 sync[pos] = item2;
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18 index[item2] = pos;
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19 end
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21 local function _percolate_up(self, k, sync, index)
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22 local tmp = self[k];
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23 local tmp_sync = sync[k];
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24 while k ~= 1 do
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25 local parent = math_floor(k/2);
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26 if tmp >= self[parent] then break; end
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27 self[k] = self[parent];
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28 sync[k] = sync[parent];
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29 index[sync[k]] = k;
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30 k = parent;
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31 end
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32 self[k] = tmp;
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33 sync[k] = tmp_sync;
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34 index[tmp_sync] = k;
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35 return k;
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36 end
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38 local function _percolate_down(self, k, sync, index)
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39 local tmp = self[k];
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40 local tmp_sync = sync[k];
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41 local size = #self;
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42 local child = 2*k;
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43 while 2*k <= size do
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44 if child ~= size and self[child] > self[child + 1] then
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45 child = child + 1;
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46 end
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47 if tmp > self[child] then
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48 self[k] = self[child];
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49 sync[k] = sync[child];
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50 index[sync[k]] = k;
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51 else
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52 break;
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53 end
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54
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55 k = child;
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56 child = 2*k;
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57 end
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58 self[k] = tmp;
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59 sync[k] = tmp_sync;
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60 index[tmp_sync] = k;
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61 return k;
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62 end
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63
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64 local function _heap_pop(self, sync, index)
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65 local size = #self;
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66 if size == 0 then return nil; end
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67
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68 local result = self[1];
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69 local result_sync = sync[1];
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70 index[result_sync] = nil;
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71 if size == 1 then
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72 self[1] = nil;
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73 sync[1] = nil;
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74 return result, result_sync;
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75 end
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76 self[1] = t_remove(self);
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77 sync[1] = t_remove(sync);
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78 index[sync[1]] = 1;
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79
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80 _percolate_down(self, 1, sync, index);
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81
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82 return result, result_sync;
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83 end
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84
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85 local indexed_heap = {};
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86
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87 function indexed_heap:insert(item, priority, id)
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88 if id == nil then
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89 id = self.current_id;
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90 self.current_id = id + 1;
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91 end
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92 self.items[id] = item;
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93 _heap_insert(self.priorities, priority, self.ids, id, self.index);
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94 return id;
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95 end
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96 function indexed_heap:pop()
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97 local priority, id = _heap_pop(self.priorities, self.ids, self.index);
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98 if id then
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99 local item = self.items[id];
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100 self.items[id] = nil;
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101 return priority, item, id;
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102 end
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103 end
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104 function indexed_heap:peek()
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105 return self.priorities[1];
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106 end
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107 function indexed_heap:reprioritize(id, priority)
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108 local k = self.index[id];
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109 if k == nil then return; end
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110 self.priorities[k] = priority;
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111
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112 k = _percolate_up(self.priorities, k, self.ids, self.index);
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113 _percolate_down(self.priorities, k, self.ids, self.index);
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114 end
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115 function indexed_heap:remove_index(k)
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116 local result = self.priorities[k];
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117 if result == nil then return; end
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118
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119 local result_sync = self.ids[k];
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120 local item = self.items[result_sync];
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121 local size = #self.priorities;
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122
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123 self.priorities[k] = self.priorities[size];
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124 self.ids[k] = self.ids[size];
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125 self.index[self.ids[k]] = k;
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126
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127 t_remove(self.priorities);
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128 t_remove(self.ids);
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129
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130 self.index[result_sync] = nil;
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131 self.items[result_sync] = nil;
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132
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133 if size > k then
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134 k = _percolate_up(self.priorities, k, self.ids, self.index);
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135 _percolate_down(self.priorities, k, self.ids, self.index);
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136 end
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137
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138 return result, item, result_sync;
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139 end
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140 function indexed_heap:remove(id)
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141 return self:remove_index(self.index[id]);
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142 end
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143
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144 local mt = { __index = indexed_heap };
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145
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146 local _M = {
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147 create = function()
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148 return setmetatable({
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149 ids = {}; -- heap of ids, sync'd with priorities
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150 items = {}; -- map id->items
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151 priorities = {}; -- heap of priorities
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152 index = {}; -- map of id->index of id in ids
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153 current_id = 1.5
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154 }, mt);
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155 end
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156 };
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157 return _M;