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1 // lshlib.h - a library for locality sensitive hashtable insertion and retrieval
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2 //
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3 // Author: Michael Casey
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4 // Copyright (c) 2008 Michael Casey, All Rights Reserved
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5
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6 /* GNU GENERAL PUBLIC LICENSE
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7 Version 2, June 1991
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8 See LICENSE.txt
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9 */
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10
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11 #ifndef __LSHLIB_H
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12 #define __LSHLIB_H
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13
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14 #include <vector>
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15 #include <queue>
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16 #include <stdio.h>
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17 #include <stdlib.h>
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18 #include <sys/types.h>
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19 #include <sys/stat.h>
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20 #include <sys/mman.h>
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21 #include <fcntl.h>
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22 #include <string.h>
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23 #include <iostream>
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24 #include <fstream>
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25 #include <math.h>
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26 #include <sys/time.h>
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27 #include <assert.h>
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28 #include <float.h>
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29 #include <signal.h>
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30 #include <time.h>
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31 #include <limits.h>
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32 #include <errno.h>
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33 #ifdef MT19937
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34 #include "mt19937/mt19937ar.h"
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35 #endif
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36
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37 #define IntT int
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38 #define LongUns64T long long unsigned
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39 #define Uns32T unsigned
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40 #define Int32T int
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41 #define BooleanT int
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42 #define TRUE 1
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43 #define FALSE 0
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44
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45 // A big number (>> max # of points)
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46 #define INDEX_START_EMPTY 1000000000U
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47
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48 // 4294967291 = 2^32-5
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49 #define UH_PRIME_DEFAULT 4294967291U
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50
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51 // 2^29
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52 #define MAX_HASH_RND 536870912U
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53
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54 // 2^32-1
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55 #define TWO_TO_32_MINUS_1 4294967295U
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56
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57 #define O2_SERIAL_VERSION 1 // Sync with SVN version
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58 #define O2_SERIAL_HEADER_SIZE sizeof(SerialHeaderT)
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59 #define O2_SERIAL_ELEMENT_SIZE sizeof(SerialElementT)
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60 #define O2_SERIAL_MAX_TABLES (200)
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61 #define O2_SERIAL_MAX_ROWS (1000000000)
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62 #define O2_SERIAL_MAX_COLS (1000000)
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63 #define O2_SERIAL_MAX_DIM (2000)
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64 #define O2_SERIAL_MAX_FUNS (100)
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65 #define O2_SERIAL_MAX_BINWIDTH (200)
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66 #define O2_SERIAL_MAXFILESIZE (4000000000UL)
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67
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68 // Flags for Serial Header
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69 #define O2_SERIAL_FILEFORMAT1 (0x1U) // Optimize disk format for on-disk search
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70 #define O2_SERIAL_FILEFORMAT2 (0x2U) // Optimize disk format for in-core search
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71 #define O2_SERIAL_COREFORMAT1 (0x4U)
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72 #define O2_SERIAL_COREFORMAT2 (0x8U)
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73
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74 // Flags for serialization fileformat2: use high 3 bits of Uns32T
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75 #define O2_SERIAL_TOKEN_T1 (0xFFFFFFFCU)
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76 #define O2_SERIAL_TOKEN_T2 (0xFFFFFFFDU)
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77 #define O2_SERIAL_TOKEN_ENDTABLE (0xFFFFFFFEU)
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78
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79 #define O2_INDEX_MAXSTR (256)
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80
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81 unsigned align_up(unsigned x, unsigned w);
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82
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83 #define O2_SERIAL_FUNCTIONS_SIZE (align_up(sizeof(float) * O2_SERIAL_MAX_TABLES * O2_SERIAL_MAX_FUNS * O2_SERIAL_MAX_DIM \
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84 + sizeof(float) * O2_SERIAL_MAX_TABLES * O2_SERIAL_MAX_FUNS + \
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85 + sizeof(Uns32T) * O2_SERIAL_MAX_TABLES * O2_SERIAL_MAX_FUNS * 2 \
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86 + O2_SERIAL_HEADER_SIZE,get_page_logn()))
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87
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88 #define O2_SERIAL_MAX_LSH_SIZE (O2_SERIAL_ELEMENT_SIZE * O2_SERIAL_MAX_TABLES \
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89 * O2_SERIAL_MAX_ROWS * O2_SERIAL_MAX_COLS + O2_SERIAL_FUNCTIONS_SIZE)
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90
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91 #define O2_SERIAL_MAGIC ('o'|'2'<<8|'l'<<16|'s'<<24)
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92
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93 using namespace std;
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94
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95 Uns32T get_page_logn();
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96
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97 // Disk table entry
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98 typedef class SerialElement SerialElementT;
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99 class SerialElement {
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100 public:
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101 Uns32T hashValue;
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102 Uns32T pointID;
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103
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104 SerialElement(Uns32T h, Uns32T pID):
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105 hashValue(h),
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106 pointID(pID){}
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107 };
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108
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109 // Disk header
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110 typedef class SerialHeader SerialHeaderT;
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111 class SerialHeader {
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112 public:
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113 Uns32T lshMagic; // unique identifier for file header
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114 float binWidth; // hash-function bin width
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115 Uns32T numTables; // number of hash tables in file
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116 Uns32T numRows; // size of each hash table
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117 Uns32T numCols; // max collisions in each hash table
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118 Uns32T elementSize; // size of a hash bucket
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119 Uns32T version; // version number of file format
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120 Uns32T size; // total size of database (bytes)
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121 Uns32T flags; // 32 bits of useful information
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122 Uns32T dataDim; // vector dimensionality
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123 Uns32T numFuns; // number of independent hash functions
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124 float radius; // 32-bit floating point radius
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125 Uns32T maxp; // number of unique IDs in the database
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126 unsigned long long size_long; // long version of size
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127 Uns32T pointCount; // number of points in the database
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128
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129 SerialHeader();
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130 SerialHeader(float W, Uns32T L, Uns32T N, Uns32T C, Uns32T k, Uns32T d, float radius, Uns32T p, Uns32T FMT, Uns32T pointCount);
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131
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132 float get_binWidth(){return binWidth;}
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133 Uns32T get_numTables(){return numTables;}
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134 Uns32T get_numRows(){return numRows;}
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135 Uns32T get_numCols(){return numCols;}
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136 Uns32T get_elementSize(){return elementSize;}
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137 Uns32T get_version(){return version;}
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138 Uns32T get_flags(){return flags;}
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139 unsigned long long get_size(){return size_long;}
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140 Uns32T get_dataDim(){return dataDim;}
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141 Uns32T get_numFuns(){return numFuns;}
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142 Uns32T get_maxp(){return maxp;}
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143 Uns32T get_pointCount(){return pointCount;}
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144 };
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145
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146 #define IFLAG 0xFFFFFFFF
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147
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148 // Point-set collision bucket (sbucket).
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149 // sbuckets form a collision chain that identifies PointIDs falling in the same locale.
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150 // sbuckets are chained from a bucket containing the collision list's t2 identifier
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151 class sbucket {
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152 friend class bucket;
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153 friend class H;
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154 friend class G;
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155
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156 public:
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157 class sbucket* snext;
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158 unsigned int pointID;
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159
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160 sbucket(){
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161 snext=0;
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162 pointID=IFLAG;
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163 }
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164 ~sbucket(){delete snext;}
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165 sbucket* get_snext(){return snext;}
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166 };
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167
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168 // bucket structure for a linked list of locales that collide with the same hash value t1
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169 // different buckets represent different locales, collisions within a locale are chained
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170 // in sbuckets
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171 class bucket {
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172 friend class H;
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173 friend class G;
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174 bucket* next;
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175 sbucket* snext;
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176 public:
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177 unsigned int t2;
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178 bucket(){
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179 next=0;
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180 snext=0;
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181 t2=IFLAG;
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182 }
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183 ~bucket(){delete next;delete snext;}
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184 bucket* get_next(){return next;}
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185 };
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186
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187
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188 // The hash_functions for locality-sensitive hashing
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189 class H{
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190 friend class G;
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191 private:
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192
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193 float *** A; // m x k x d random projectors from R^d->R^k
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194 float ** b; // m x k uniform additive constants
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195
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196 Uns32T ** g; // L x k random hash projections \in Z^k
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197 Uns32T** r1; // random ints for hashing
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198 Uns32T** r2; // random ints for hashing
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199
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200 bucket*** h; // The LSH hash tables
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201
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202 bool use_u_functions; // flag to optimize computation of hashes
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203 vector<vector<Uns32T> > uu; // Storage for m patial hash evaluations ( g_j = [u_a,u_b] )
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204
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205 Uns32T maxp; // highest pointID stored in database
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206 Uns32T bucketCount; // count of number of point buckets allocated
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207 Uns32T pointCount; // count of number of points inserted
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208 Uns32T collisionCount; // number of points collided in a hash-table row
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209
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210 Uns32T t1; // first hash table key
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211 Uns32T t2; // second hash table key
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212 Uns32T P; // hash table prime number
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213
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214 Uns32T N; // num rows per table
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215 Uns32T C; // num collision per row
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216 Uns32T k; // num projections per hash function
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217 Uns32T m; // ~sqrt num hash tables
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218 Uns32T L; // L = m*(m-1)/2, conversely, m = (1 + sqrt(1 + 8.0*L)) / 2.0
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219 Uns32T d; // dimensions
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220 Uns32T p; // current point
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221 float w; // width of hash slots (relative to normalized feature space)
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222 float radius;// scaling coefficient for data (1./radius)
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223
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224 void initialize_data_structures();
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225 void initialize_lsh_functions();
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226 void initialize_partial_functions();
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227 void __bucket_insert_point(bucket*);
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228 void __sbucket_insert_point(sbucket*);
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229 Uns32T computeProductModDefaultPrime(Uns32T*,Uns32T*,IntT);
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230 Uns32T randr();
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231 float randn();
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232 float ranf();
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233 bucket** get_bucket(int j);
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234 void error(const char* a, const char* b = "", const char *sysFunc = 0);
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235
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236 public:
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237
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238 H();
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239 H(Uns32T k, Uns32T m, Uns32T d, Uns32T N, Uns32T C, float w, float r);
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240 ~H();
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241
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242 float get_w(){return w;}
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243 float get_radius(){return radius;}
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244 Uns32T get_numRows(){return N;}
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245 Uns32T get_numCols(){return C;}
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246 Uns32T get_numFuns(){return k;}
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247 Uns32T get_numTables(){return L;}
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248 Uns32T get_dataDim(){return d;}
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249 Uns32T get_maxp(){return maxp;}
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250
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251 Uns32T bucket_insert_point(bucket**);
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252
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253 // Interface to hash functions
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254 void compute_hash_functions(vector<float>& v);
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255 void generate_hash_keys(Uns32T* g, Uns32T* r1, Uns32T* r2);
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256 Uns32T get_t1(){return t1;} // hash-key t1
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257 Uns32T get_t2(){return t2;} // hash-key t2
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258 };
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259
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260 // Typedef for point-reporting callback function. Used to collect points during LSH retrieval
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261 typedef void (*ReporterCallbackPtr)(void* objPtr, Uns32T pointID, Uns32T queryIndex, float squaredDistance);
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262
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263 // Interface for indexing and retrieval
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264 class G: public H{
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265 private:
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266 char* indexName;
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267
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268 // LSH serial data structure file handling
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269 void get_lock(int fd, bool exclusive);
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270 void release_lock(int fd);
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271 int serial_create(char* filename, Uns32T FMT);
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272 int serial_create(char* filename, float binWidth, Uns32T nTables, Uns32T nRows, Uns32T nCols, Uns32T k, Uns32T d, Uns32T FMT);
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273 char* serial_mmap(int dbfid, Uns32T sz, Uns32T w, off_t offset = 0);
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274 void serial_munmap(char* db, Uns32T N);
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275 int serial_open(char* filename,int writeFlag);
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276 void serial_close(int dbfid);
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277
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278 // Function to write hashfunctions to disk
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279 int serialize_lsh_hashfunctions(int fid);
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280
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281 // Functions to write hashtables to disk in format1 (optimized for on-disk retrieval)
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282 int serialize_lsh_hashtables_format1(int fid, int merge);
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283 void serial_write_hashtable_row_format1(SerialElementT*& pe, bucket* h, Uns32T& colCount);
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284 void serial_write_element_format1(SerialElementT*& pe, sbucket* sb, Uns32T t2, Uns32T& colCount);
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285 void serial_merge_hashtable_row_format1(SerialElementT* pr, bucket* h, Uns32T& colCount);
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286 void serial_merge_element_format1(SerialElementT* pe, sbucket* sb, Uns32T t2, Uns32T& colCount);
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287 int serial_can_merge(Uns32T requestedFormat); // Test to see whether core and on-disk structures are compatible
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288
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289 // Functions to write hashtables to disk in format2 (optimized for in-core retrieval)
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290 int serialize_lsh_hashtables_format2(int fid, int merge);
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291 void serial_write_hashtable_row_format2(int fid, bucket* h, Uns32T& colCount);
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292 void serial_write_element_format2(int fid, sbucket* sb, Uns32T& colCount);
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293
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294 // Functions to read serial header and hash functions (format1 and format2)
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295 int unserialize_lsh_header(char* filename); // read lsh header from disk into core
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296 void unserialize_lsh_functions(int fid); // read the lsh hash functions into core
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297
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298 // Functions to read hashtables in format1
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299 void unserialize_lsh_hashtables_format1(int fid); // read FORMAT1 hash tables into core (disk format)
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300 void unserialize_hashtable_row_format1(SerialElementT* pe, bucket** b); // read lsh hash table row into core
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301
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302 // Functions to read hashtables in format2
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303 void unserialize_lsh_hashtables_format2(int fid); // read FORMAT2 hash tables into core (core format)
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304 Uns32T unserialize_hashtable_row_format2(int fid, bucket** b); // read lsh hash table row into core
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305
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306 // Helper functions
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307 void serial_print_header(Uns32T requestedFormat);
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308 float* get_serial_hashfunction_base(char* db);
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309 SerialElementT* get_serial_hashtable_base(char* db);
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310 Uns32T get_serial_hashtable_offset(); // Size of SerialHeader + HashFunctions
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311 SerialHeaderT* serial_get_header(char* db);
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312 SerialHeaderT* lshHeader;
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313
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314 // Core Retrieval/Inspections Functions
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315 void bucket_chain_point(bucket* p, Uns32T qpos);
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316 void sbucket_chain_point(sbucket* p, Uns32T qpos);
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317 void dump_hashtable_row(bucket* p);
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318
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319 // Serial (Format 1) Retrieval/Inspection Functions
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320 void serial_bucket_chain_point(SerialElementT* pe, Uns32T qpos);
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321 void serial_bucket_dump(SerialElementT* pe);
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322
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323 // Callback Function for point reporting
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324 void* calling_instance; // store calling object instance for member-function callback
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325 ReporterCallbackPtr add_point_callback; // Pointer to the callback function
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326
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327 public:
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328 G(char* lshFile, bool lshInCore = false); // unserialize constructor
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329 G(float w, Uns32T k,Uns32T m, Uns32T d, Uns32T N, Uns32T C, float r); // core constructor
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330 ~G();
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331
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332 Uns32T insert_point(vector<float>&, Uns32T pointID);
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333 void insert_point_set(vector<vector<float> >& vv, Uns32T basePointID);
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334
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335 // point retrieval from core
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336 void retrieve_point(vector<float>& v, Uns32T qpos, ReporterCallbackPtr, void* me=NULL);
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337 // point set retrieval from core
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338 void retrieve_point_set(vector<vector<float> >& vv, ReporterCallbackPtr, void* me=NULL);
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339 // serial point set retrieval
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340 void serial_retrieve_point_set(char* filename, vector<vector<float> >& vv, ReporterCallbackPtr, void* me=NULL);
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341 // serial point retrieval
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342 void serial_retrieve_point(char* filename, vector<float>& vv, Uns32T qpos, ReporterCallbackPtr, void* me=NULL);
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343
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344 void serialize(char* filename, Uns32T serialFormat = O2_SERIAL_FILEFORMAT1); // write hashfunctions and hashtables to disk
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345
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346 SerialHeaderT* get_lshHeader(){return lshHeader;}
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347 void serial_dump_tables(char* filename);
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348 float get_mean_collision_rate(){ return (float) pointCount / bucketCount ; }
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349 char* get_indexName(){return indexName;}
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350 };
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351
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352 typedef class G LSH;
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353
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354
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355
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356 #endif
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