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1 | 1 | # pvec.py - probabilistic vector clocks for Mercurial |
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2 | 2 | # |
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3 | 3 | # Copyright 2012 Matt Mackall <mpm@selenic.com> |
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4 | 4 | # |
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5 | 5 | # This software may be used and distributed according to the terms of the |
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6 | 6 | # GNU General Public License version 2 or any later version. |
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7 | 7 | |
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8 | 8 | ''' |
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9 | 9 | A "pvec" is a changeset property based on the theory of vector clocks |
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10 | 10 | that can be compared to discover relatedness without consulting a |
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11 | 11 | graph. This can be useful for tasks like determining how a |
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12 | 12 | disconnected patch relates to a repository. |
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13 | 13 | |
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14 | 14 | Currently a pvec consist of 448 bits, of which 24 are 'depth' and the |
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15 | 15 | remainder are a bit vector. It is represented as a 70-character base85 |
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16 | 16 | string. |
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17 | 17 | |
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18 | 18 | Construction: |
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19 | 19 | |
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20 | 20 | - a root changeset has a depth of 0 and a bit vector based on its hash |
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21 | 21 | - a normal commit has a changeset where depth is increased by one and |
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22 | 22 | one bit vector bit is flipped based on its hash |
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23 | 23 | - a merge changeset pvec is constructed by copying changes from one pvec into |
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24 | 24 | the other to balance its depth |
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25 | 25 | |
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26 | 26 | Properties: |
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27 | 27 | |
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28 | 28 | - for linear changes, difference in depth is always <= hamming distance |
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29 | 29 | - otherwise, changes are probably divergent |
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30 | 30 | - when hamming distance is < 200, we can reliably detect when pvecs are near |
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31 | 31 | |
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32 | 32 | Issues: |
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33 | 33 | |
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34 | 34 | - hamming distance ceases to work over distances of ~ 200 |
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35 | 35 | - detecting divergence is less accurate when the common ancestor is very close |
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36 | 36 | to either revision or total distance is high |
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37 | 37 | - this could probably be improved by modeling the relation between |
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38 | 38 | delta and hdist |
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39 | 39 | |
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40 | 40 | Uses: |
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41 | 41 | |
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42 | 42 | - a patch pvec can be used to locate the nearest available common ancestor for |
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43 | 43 | resolving conflicts |
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44 | 44 | - ordering of patches can be established without a DAG |
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45 | 45 | - two head pvecs can be compared to determine whether push/pull/merge is needed |
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46 | 46 | and approximately how many changesets are involved |
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47 | 47 | - can be used to find a heuristic divergence measure between changesets on |
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48 | 48 | different branches |
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49 | 49 | ''' |
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50 | 50 | |
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51 | 51 | import base85, util |
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52 | 52 | from node import nullrev |
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53 | 53 | |
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54 | 54 | _size = 448 # 70 chars b85-encoded |
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55 | 55 | _bytes = _size / 8 |
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56 | 56 | _depthbits = 24 |
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57 | 57 | _depthbytes = _depthbits / 8 |
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58 | 58 | _vecbytes = _bytes - _depthbytes |
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59 | 59 | _vecbits = _vecbytes * 8 |
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60 | 60 | _radius = (_vecbits - 30) / 2 # high probability vectors are related |
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61 | 61 | |
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62 | 62 | def _bin(bs): |
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63 | 63 | '''convert a bytestring to a long''' |
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64 | 64 | v = 0 |
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65 | 65 | for b in bs: |
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66 | 66 | v = v * 256 + ord(b) |
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67 | 67 | return v |
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68 | 68 | |
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69 | 69 | def _str(v, l): |
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70 | 70 | bs = "" |
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71 | 71 | for p in xrange(l): |
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72 | 72 | bs = chr(v & 255) + bs |
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73 | 73 | v >>= 8 |
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74 | 74 | return bs |
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75 | 75 | |
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76 | 76 | def _split(b): |
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77 | 77 | '''depth and bitvec''' |
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78 | 78 | return _bin(b[:_depthbytes]), _bin(b[_depthbytes:]) |
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79 | 79 | |
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80 | 80 | def _join(depth, bitvec): |
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81 | 81 | return _str(depth, _depthbytes) + _str(bitvec, _vecbytes) |
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82 | 82 | |
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83 | 83 | def _hweight(x): |
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84 | 84 | c = 0 |
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85 | 85 | while x: |
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86 | 86 | if x & 1: |
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87 | 87 | c += 1 |
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88 | 88 | x >>= 1 |
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89 | 89 | return c |
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90 | 90 | _htab = [_hweight(x) for x in xrange(256)] |
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91 | 91 | |
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92 | 92 | def _hamming(a, b): |
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93 | 93 | '''find the hamming distance between two longs''' |
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94 | 94 | d = a ^ b |
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95 | 95 | c = 0 |
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96 | 96 | while d: |
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97 | 97 | c += _htab[d & 0xff] |
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98 | 98 | d >>= 8 |
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99 | 99 | return c |
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100 | 100 | |
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101 | 101 | def _mergevec(x, y, c): |
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102 | 102 | # Ideally, this function would be x ^ y ^ ancestor, but finding |
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103 | 103 | # ancestors is a nuisance. So instead we find the minimal number |
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104 | 104 | # of changes to balance the depth and hamming distance |
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105 | 105 | |
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106 | 106 | d1, v1 = x |
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107 | 107 | d2, v2 = y |
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108 | 108 | if d1 < d2: |
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109 | 109 | d1, d2, v1, v2 = d2, d1, v2, v1 |
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110 | 110 | |
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111 | 111 | hdist = _hamming(v1, v2) |
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112 | 112 | ddist = d1 - d2 |
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113 | 113 | v = v1 |
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114 | 114 | m = v1 ^ v2 # mask of different bits |
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115 | 115 | i = 1 |
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116 | 116 | |
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117 | 117 | if hdist > ddist: |
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118 | 118 | # if delta = 10 and hdist = 100, then we need to go up 55 steps |
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119 | 119 | # to the ancestor and down 45 |
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120 | 120 | changes = (hdist - ddist + 1) / 2 |
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121 | 121 | else: |
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122 | 122 | # must make at least one change |
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123 | 123 | changes = 1 |
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124 | 124 | depth = d1 + changes |
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125 | 125 | |
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126 | 126 | # copy changes from v2 |
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127 | 127 | if m: |
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128 | 128 | while changes: |
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129 | 129 | if m & i: |
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130 | 130 | v ^= i |
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131 | 131 | changes -= 1 |
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132 | 132 | i <<= 1 |
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133 | 133 | else: |
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134 | 134 | v = _flipbit(v, c) |
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135 | 135 | |
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136 | 136 | return depth, v |
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137 | 137 | |
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138 | 138 | def _flipbit(v, node): |
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139 | 139 | # converting bit strings to longs is slow |
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140 | 140 | bit = (hash(node) & 0xffffffff) % _vecbits |
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141 | 141 | return v ^ (1<<bit) |
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142 | 142 | |
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143 | 143 | def ctxpvec(ctx): |
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144 | 144 | '''construct a pvec for ctx while filling in the cache''' |
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145 | 145 | r = ctx._repo |
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146 | 146 | if not util.safehasattr(r, "_pveccache"): |
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147 | 147 | r._pveccache = {} |
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148 | 148 | pvc = r._pveccache |
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149 | 149 | if ctx.rev() not in pvc: |
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150 | 150 | cl = r.changelog |
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151 | 151 | for n in xrange(ctx.rev() + 1): |
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152 | 152 | if n not in pvc: |
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153 | 153 | node = cl.node(n) |
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154 | 154 | p1, p2 = cl.parentrevs(n) |
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155 | 155 | if p1 == nullrev: |
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156 | 156 | # start with a 'random' vector at root |
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157 | 157 | pvc[n] = (0, _bin((node * 3)[:_vecbytes])) |
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158 | 158 | elif p2 == nullrev: |
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159 | 159 | d, v = pvc[p1] |
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160 | 160 | pvc[n] = (d + 1, _flipbit(v, node)) |
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161 | 161 | else: |
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162 | 162 | pvc[n] = _mergevec(pvc[p1], pvc[p2], node) |
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163 | 163 | bs = _join(*pvc[ctx.rev()]) |
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164 | 164 | return pvec(base85.b85encode(bs)) |
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165 | 165 | |
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166 | 166 | class pvec(object): |
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167 | 167 | def __init__(self, hashorctx): |
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168 | 168 | if isinstance(hashorctx, str): |
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169 | 169 | self._bs = hashorctx |
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170 | 170 | self._depth, self._vec = _split(base85.b85decode(hashorctx)) |
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171 | 171 | else: |
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172 | self._vec = ctxpvec(ctx) | |
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172 | self._vec = ctxpvec(hashorctx) | |
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173 | 173 | |
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174 | 174 | def __str__(self): |
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175 | 175 | return self._bs |
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176 | 176 | |
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177 | 177 | def __eq__(self, b): |
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178 | 178 | return self._vec == b._vec and self._depth == b._depth |
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179 | 179 | |
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180 | 180 | def __lt__(self, b): |
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181 | 181 | delta = b._depth - self._depth |
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182 | 182 | if delta < 0: |
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183 | 183 | return False # always correct |
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184 | 184 | if _hamming(self._vec, b._vec) > delta: |
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185 | 185 | return False |
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186 | 186 | return True |
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187 | 187 | |
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188 | 188 | def __gt__(self, b): |
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189 | 189 | return b < self |
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190 | 190 | |
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191 | 191 | def __or__(self, b): |
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192 | 192 | delta = abs(b._depth - self._depth) |
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193 | 193 | if _hamming(self._vec, b._vec) <= delta: |
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194 | 194 | return False |
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195 | 195 | return True |
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196 | 196 | |
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197 | 197 | def __sub__(self, b): |
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198 | 198 | if self | b: |
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199 | 199 | raise ValueError("concurrent pvecs") |
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200 | 200 | return self._depth - b._depth |
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201 | 201 | |
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202 | 202 | def distance(self, b): |
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203 | 203 | d = abs(b._depth - self._depth) |
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204 | 204 | h = _hamming(self._vec, b._vec) |
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205 | 205 | return max(d, h) |
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206 | 206 | |
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207 | 207 | def near(self, b): |
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208 | 208 | dist = abs(b.depth - self._depth) |
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209 | 209 | if dist > _radius or _hamming(self._vec, b._vec) > _radius: |
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210 | 210 | return False |
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