Mercurial > repos > shellac > guppy_basecaller
annotate env/lib/python3.7/site-packages/networkx/utils/heaps.py @ 2:6af9afd405e9 draft
"planemo upload commit 0a63dd5f4d38a1f6944587f52a8cd79874177fc1"
author | shellac |
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date | Thu, 14 May 2020 14:56:58 -0400 |
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0
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1 """ |
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2 Min-heaps. |
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3 """ |
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4 |
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5 __author__ = """ysitu <ysitu@users.noreply.github.com>""" |
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6 # Copyright (C) 2014 ysitu <ysitu@users.noreply.github.com> |
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7 # All rights reserved. |
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8 # BSD license. |
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9 |
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10 from heapq import heappop, heappush |
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11 from itertools import count |
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12 import networkx as nx |
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13 |
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14 __all__ = ['MinHeap', 'PairingHeap', 'BinaryHeap'] |
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15 |
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16 |
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17 class MinHeap(object): |
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18 """Base class for min-heaps. |
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19 |
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20 A MinHeap stores a collection of key-value pairs ordered by their values. |
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21 It supports querying the minimum pair, inserting a new pair, decreasing the |
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22 value in an existing pair and deleting the minimum pair. |
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23 """ |
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24 |
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25 class _Item(object): |
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26 """Used by subclassess to represent a key-value pair. |
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27 """ |
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28 __slots__ = ('key', 'value') |
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29 |
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30 def __init__(self, key, value): |
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31 self.key = key |
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32 self.value = value |
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33 |
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34 def __repr__(self): |
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35 return repr((self.key, self.value)) |
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36 |
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37 def __init__(self): |
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38 """Initialize a new min-heap. |
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39 """ |
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40 self._dict = {} |
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41 |
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42 def min(self): |
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43 """Query the minimum key-value pair. |
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44 |
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45 Returns |
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46 ------- |
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47 key, value : tuple |
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48 The key-value pair with the minimum value in the heap. |
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49 |
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50 Raises |
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51 ------ |
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52 NetworkXError |
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53 If the heap is empty. |
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54 """ |
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55 raise NotImplementedError |
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56 |
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57 def pop(self): |
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58 """Delete the minimum pair in the heap. |
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59 |
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60 Returns |
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61 ------- |
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62 key, value : tuple |
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63 The key-value pair with the minimum value in the heap. |
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64 |
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65 Raises |
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66 ------ |
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67 NetworkXError |
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68 If the heap is empty. |
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69 """ |
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70 raise NotImplementedError |
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71 |
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72 def get(self, key, default=None): |
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73 """Returns the value associated with a key. |
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74 |
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75 Parameters |
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76 ---------- |
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77 key : hashable object |
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78 The key to be looked up. |
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79 |
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80 default : object |
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81 Default value to return if the key is not present in the heap. |
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82 Default value: None. |
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83 |
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84 Returns |
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85 ------- |
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86 value : object. |
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87 The value associated with the key. |
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88 """ |
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89 raise NotImplementedError |
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90 |
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91 def insert(self, key, value, allow_increase=False): |
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92 """Insert a new key-value pair or modify the value in an existing |
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93 pair. |
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94 |
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95 Parameters |
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96 ---------- |
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97 key : hashable object |
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98 The key. |
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99 |
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100 value : object comparable with existing values. |
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101 The value. |
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102 |
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103 allow_increase : bool |
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104 Whether the value is allowed to increase. If False, attempts to |
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105 increase an existing value have no effect. Default value: False. |
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106 |
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107 Returns |
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108 ------- |
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109 decreased : bool |
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110 True if a pair is inserted or the existing value is decreased. |
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111 """ |
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112 raise NotImplementedError |
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113 |
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114 def __nonzero__(self): |
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115 """Returns whether the heap if empty. |
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116 """ |
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117 return bool(self._dict) |
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118 |
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119 def __bool__(self): |
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120 """Returns whether the heap if empty. |
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121 """ |
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122 return bool(self._dict) |
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123 |
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124 def __len__(self): |
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125 """Returns the number of key-value pairs in the heap. |
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126 """ |
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127 return len(self._dict) |
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128 |
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129 def __contains__(self, key): |
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130 """Returns whether a key exists in the heap. |
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131 |
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132 Parameters |
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133 ---------- |
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134 key : any hashable object. |
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135 The key to be looked up. |
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136 """ |
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137 return key in self._dict |
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138 |
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139 |
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140 def _inherit_doc(cls): |
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141 """Decorator for inheriting docstrings from base classes. |
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142 """ |
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143 def func(fn): |
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144 fn.__doc__ = cls.__dict__[fn.__name__].__doc__ |
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145 return fn |
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146 return func |
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147 |
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148 |
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149 class PairingHeap(MinHeap): |
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150 """A pairing heap. |
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151 """ |
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152 |
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153 class _Node(MinHeap._Item): |
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154 """A node in a pairing heap. |
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155 |
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156 A tree in a pairing heap is stored using the left-child, right-sibling |
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157 representation. |
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158 """ |
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159 __slots__ = ('left', 'next', 'prev', 'parent') |
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160 |
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161 def __init__(self, key, value): |
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162 super(PairingHeap._Node, self).__init__(key, value) |
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163 # The leftmost child. |
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164 self.left = None |
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165 # The next sibling. |
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166 self.next = None |
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167 # The previous sibling. |
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168 self.prev = None |
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169 # The parent. |
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170 self.parent = None |
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171 |
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172 def __init__(self): |
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173 """Initialize a pairing heap. |
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174 """ |
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175 super(PairingHeap, self).__init__() |
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176 self._root = None |
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177 |
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178 @_inherit_doc(MinHeap) |
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179 def min(self): |
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180 if self._root is None: |
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181 raise nx.NetworkXError('heap is empty.') |
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182 return (self._root.key, self._root.value) |
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183 |
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184 @_inherit_doc(MinHeap) |
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185 def pop(self): |
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186 if self._root is None: |
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187 raise nx.NetworkXError('heap is empty.') |
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188 min_node = self._root |
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189 self._root = self._merge_children(self._root) |
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190 del self._dict[min_node.key] |
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191 return (min_node.key, min_node.value) |
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192 |
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193 @_inherit_doc(MinHeap) |
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194 def get(self, key, default=None): |
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195 node = self._dict.get(key) |
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196 return node.value if node is not None else default |
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197 |
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198 @_inherit_doc(MinHeap) |
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199 def insert(self, key, value, allow_increase=False): |
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200 node = self._dict.get(key) |
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201 root = self._root |
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202 if node is not None: |
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203 if value < node.value: |
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204 node.value = value |
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205 if node is not root and value < node.parent.value: |
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206 self._cut(node) |
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207 self._root = self._link(root, node) |
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208 return True |
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209 elif allow_increase and value > node.value: |
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210 node.value = value |
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211 child = self._merge_children(node) |
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212 # Nonstandard step: Link the merged subtree with the root. See |
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213 # below for the standard step. |
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214 if child is not None: |
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215 self._root = self._link(self._root, child) |
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216 # Standard step: Perform a decrease followed by a pop as if the |
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217 # value were the smallest in the heap. Then insert the new |
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218 # value into the heap. |
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219 # if node is not root: |
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220 # self._cut(node) |
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221 # if child is not None: |
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222 # root = self._link(root, child) |
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223 # self._root = self._link(root, node) |
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224 # else: |
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225 # self._root = (self._link(node, child) |
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226 # if child is not None else node) |
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227 return False |
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228 else: |
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229 # Insert a new key. |
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230 node = self._Node(key, value) |
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231 self._dict[key] = node |
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232 self._root = self._link(root, node) if root is not None else node |
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233 return True |
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234 |
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235 def _link(self, root, other): |
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236 """Link two nodes, making the one with the smaller value the parent of |
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237 the other. |
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238 """ |
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239 if other.value < root.value: |
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240 root, other = other, root |
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241 next = root.left |
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242 other.next = next |
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243 if next is not None: |
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244 next.prev = other |
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245 other.prev = None |
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246 root.left = other |
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247 other.parent = root |
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248 return root |
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249 |
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250 def _merge_children(self, root): |
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251 """Merge the subtrees of the root using the standard two-pass method. |
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252 The resulting subtree is detached from the root. |
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253 """ |
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254 node = root.left |
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255 root.left = None |
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256 if node is not None: |
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257 link = self._link |
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258 # Pass 1: Merge pairs of consecutive subtrees from left to right. |
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259 # At the end of the pass, only the prev pointers of the resulting |
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260 # subtrees have meaningful values. The other pointers will be fixed |
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261 # in pass 2. |
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262 prev = None |
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263 while True: |
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264 next = node.next |
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265 if next is None: |
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266 node.prev = prev |
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267 break |
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268 next_next = next.next |
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269 node = link(node, next) |
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270 node.prev = prev |
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271 prev = node |
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272 if next_next is None: |
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273 break |
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274 node = next_next |
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275 # Pass 2: Successively merge the subtrees produced by pass 1 from |
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276 # right to left with the rightmost one. |
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277 prev = node.prev |
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278 while prev is not None: |
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279 prev_prev = prev.prev |
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280 node = link(prev, node) |
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281 prev = prev_prev |
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282 # Now node can become the new root. Its has no parent nor siblings. |
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283 node.prev = None |
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284 node.next = None |
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285 node.parent = None |
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286 return node |
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287 |
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288 def _cut(self, node): |
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289 """Cut a node from its parent. |
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290 """ |
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291 prev = node.prev |
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292 next = node.next |
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293 if prev is not None: |
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294 prev.next = next |
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295 else: |
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296 node.parent.left = next |
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297 node.prev = None |
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298 if next is not None: |
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299 next.prev = prev |
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300 node.next = None |
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301 node.parent = None |
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302 |
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303 |
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304 class BinaryHeap(MinHeap): |
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305 """A binary heap. |
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306 """ |
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307 |
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308 def __init__(self): |
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309 """Initialize a binary heap. |
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310 """ |
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311 super(BinaryHeap, self).__init__() |
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312 self._heap = [] |
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313 self._count = count() |
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314 |
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315 @_inherit_doc(MinHeap) |
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316 def min(self): |
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317 dict = self._dict |
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318 if not dict: |
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319 raise nx.NetworkXError('heap is empty') |
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320 heap = self._heap |
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321 pop = heappop |
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322 # Repeatedly remove stale key-value pairs until a up-to-date one is |
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323 # met. |
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324 while True: |
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325 value, _, key = heap[0] |
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326 if key in dict and value == dict[key]: |
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327 break |
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328 pop(heap) |
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329 return (key, value) |
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330 |
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331 @_inherit_doc(MinHeap) |
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332 def pop(self): |
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333 dict = self._dict |
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334 if not dict: |
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335 raise nx.NetworkXError('heap is empty') |
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336 heap = self._heap |
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337 pop = heappop |
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338 # Repeatedly remove stale key-value pairs until a up-to-date one is |
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339 # met. |
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340 while True: |
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341 value, _, key = heap[0] |
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342 pop(heap) |
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343 if key in dict and value == dict[key]: |
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344 break |
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345 del dict[key] |
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346 return (key, value) |
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347 |
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348 @_inherit_doc(MinHeap) |
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349 def get(self, key, default=None): |
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350 return self._dict.get(key, default) |
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351 |
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352 @_inherit_doc(MinHeap) |
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353 def insert(self, key, value, allow_increase=False): |
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354 dict = self._dict |
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355 if key in dict: |
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356 old_value = dict[key] |
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357 if value < old_value or (allow_increase and value > old_value): |
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358 # Since there is no way to efficiently obtain the location of a |
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359 # key-value pair in the heap, insert a new pair even if ones |
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360 # with the same key may already be present. Deem the old ones |
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361 # as stale and skip them when the minimum pair is queried. |
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362 dict[key] = value |
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363 heappush(self._heap, (value, next(self._count), key)) |
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364 return value < old_value |
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365 return False |
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366 else: |
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367 dict[key] = value |
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368 heappush(self._heap, (value, next(self._count), key)) |
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369 return True |