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1 | 1 | ******************************************************************************** |
2 | 2 | Trees |
3 | 3 | ******************************************************************************** |
| 4 | + |
| 5 | +.. rst-class:: lead |
| 6 | + |
| 7 | +A :class:`compas.datastructures.Tree` is a data structure that can be used to |
| 8 | +represent hierarchical relationships between data. It starts with a single root |
| 9 | +node, and each node can have a number of children nodes. Each node can |
| 10 | +store arbitrary attributes. |
| 11 | + |
| 12 | + |
| 13 | +.. note:: |
| 14 | + |
| 15 | + Please refer to the API for a complete overview of all functionality: |
| 16 | + |
| 17 | + * :class:`compas.datastructures.Tree` |
| 18 | + |
| 19 | +Tree Construction |
| 20 | +================= |
| 21 | + |
| 22 | +Trees can be constructed in a number of ways: |
| 23 | +* by adding nodes to a tree instance, specifiying parent node, |
| 24 | +* by adding nodes directly to another node instance that belongs to a tree, or |
| 25 | +* directly loaded from a serilised json file. |
| 26 | + |
| 27 | +Adding To Tree |
| 28 | +-------------- |
| 29 | + |
| 30 | +>>> from compas.datastructures import Tree |
| 31 | +>>> from compas.datastructures import TreeNode |
| 32 | +>>> tree = Tree() |
| 33 | +>>> root_node = TreeNode('root') |
| 34 | +>>> tree.add(root_node) |
| 35 | +>>> branch_node = TreeNode('branch') |
| 36 | +>>> tree.add(branch_node, parent=root_node) |
| 37 | +>>> leaf_node1 = TreeNode('leaf1') |
| 38 | +>>> tree.add(leaf_node1, parent=branch_node) |
| 39 | +>>> leaf_node2 = TreeNode('leaf2') |
| 40 | +>>> tree.add(leaf_node2, parent=branch_node) |
| 41 | +>>> tree.print_hierarchy() |
| 42 | +└── <TreeNode root> |
| 43 | + └── <TreeNode branch> |
| 44 | + ├── <TreeNode leaf1> |
| 45 | + └── <TreeNode leaf2> |
| 46 | + |
| 47 | +Adding To Node |
| 48 | +-------------- |
| 49 | + |
| 50 | +>>> from compas.datastructures import Tree |
| 51 | +>>> from compas.datastructures import TreeNode |
| 52 | +>>> tree = Tree() |
| 53 | +>>> root_node = TreeNode('root') |
| 54 | +>>> tree.add(root_node) |
| 55 | +>>> branch_node = TreeNode('branch') |
| 56 | +>>> root_node.add(branch_node) |
| 57 | +>>> leaf_node1 = TreeNode('leaf1') |
| 58 | +>>> branch_node.add(leaf_node1) |
| 59 | +>>> leaf_node2 = TreeNode('leaf2') |
| 60 | +>>> branch_node.add(leaf_node2) |
| 61 | +└── <TreeNode root> |
| 62 | + └── <TreeNode branch> |
| 63 | + ├── <TreeNode leaf1> |
| 64 | + └── <TreeNode leaf2> |
| 65 | + |
| 66 | +Loading From File |
| 67 | +----------------- |
| 68 | + |
| 69 | +>>> from compas.data import json_load |
| 70 | +>>> tree = json_load('tree.json') |
| 71 | +>>> tree.print_hierarchy() |
| 72 | +└── <TreeNode root> |
| 73 | + └── <TreeNode branch> |
| 74 | + ├── <TreeNode leaf1> |
| 75 | + └── <TreeNode leaf2> |
| 76 | + |
| 77 | +Remove Node |
| 78 | +----------- |
| 79 | + |
| 80 | +>>> tree.remove(leaf_node2) # Or branch_node.remove(leaf_node2) |
| 81 | +>>> tree.print_hierarchy() |
| 82 | +└── <TreeNode root> |
| 83 | + └── <TreeNode branch> |
| 84 | + └── <TreeNode leaf1> |
| 85 | + |
| 86 | + |
| 87 | +Tree Traversal |
| 88 | +============== |
| 89 | +The tree can be traversed in a number of ways, including depth-first and breadth-first. |
| 90 | +For depth-first traversal, there are additional options for pre-order and post-order. |
| 91 | + |
| 92 | +Depth-First |
| 93 | +----------- |
| 94 | +The algorithm starts at the root node and explores as far as possible along each branch before backtracking. |
| 95 | +The traversal can be done in pre-orderor post-order. In pre-order, the parent node is visited before its children. In post-order, |
| 96 | +the parent node is visited after its children. |
| 97 | + |
| 98 | +>>> from compas.datastructures import Tree |
| 99 | +>>> from compas.datastructures import TreeNode |
| 100 | +>>> tree = Tree() |
| 101 | +>>> root_node = TreeNode('root') |
| 102 | +>>> tree.add(root_node) |
| 103 | +>>> branch_node1 = TreeNode('branch1') |
| 104 | +>>> root_node.add(branch_node1) |
| 105 | +>>> leaf_node1 = TreeNode('leaf1') |
| 106 | +>>> branch_node1.add(leaf_node1) |
| 107 | +>>> leaf_node2 = TreeNode('leaf2') |
| 108 | +>>> branch_node1.add(leaf_node2) |
| 109 | +>>> branch_node2 = TreeNode('branch2') |
| 110 | +>>> root_node.add(branch_node2) |
| 111 | +>>> leaf_node3 = TreeNode('leaf3') |
| 112 | +>>> branch_node2.add(leaf_node3) |
| 113 | +>>> leaf_node4 = TreeNode('leaf4') |
| 114 | +>>> branch_node2.add(leaf_node4) |
| 115 | +>>> tree.print_hierarchy() |
| 116 | +└── <TreeNode root> |
| 117 | + ├── <TreeNode branch1> |
| 118 | + │ ├── <TreeNode leaf1> |
| 119 | + │ └── <TreeNode leaf2> |
| 120 | + └── <TreeNode branch2> |
| 121 | + ├── <TreeNode leaf3> |
| 122 | + └── <TreeNode leaf4> |
| 123 | + |
| 124 | +>>> for node in tree.traverse(strategy='depthfirst', order='preorder'): |
| 125 | +... print(node) |
| 126 | +<TreeNode root> |
| 127 | +<TreeNode branch1> |
| 128 | +<TreeNode leaf1> |
| 129 | +<TreeNode leaf2> |
| 130 | +<TreeNode branch2> |
| 131 | +<TreeNode leaf3> |
| 132 | +<TreeNode leaf4> |
| 133 | + |
| 134 | +>>> for node in tree.traverse(strategy='depthfirst', order='postorder'): |
| 135 | +... print(node) |
| 136 | +<TreeNode leaf1> |
| 137 | +<TreeNode leaf2> |
| 138 | +<TreeNode branch1> |
| 139 | +<TreeNode leaf3> |
| 140 | +<TreeNode leaf4> |
| 141 | +<TreeNode branch2> |
| 142 | +<TreeNode root> |
| 143 | + |
| 144 | + |
| 145 | +Breadth-First |
| 146 | +------------- |
| 147 | +The algorithm starts at the root node and explores the neighbour nodes first, before moving to the next level neighbours. |
| 148 | + |
| 149 | +>>> for node in tree.traverse(strategy='breadthfirst'): |
| 150 | +... print(node) |
| 151 | +<TreeNode root> |
| 152 | +<TreeNode branch1> |
| 153 | +<TreeNode branch2> |
| 154 | +<TreeNode leaf1> |
| 155 | +<TreeNode leaf2> |
| 156 | +<TreeNode leaf3> |
| 157 | +<TreeNode leaf4> |
| 158 | + |
| 159 | + |
| 160 | +Node Attributes |
| 161 | +=============== |
| 162 | + |
| 163 | +>>> nodes = tree.get_nodes_by_name('branch1') |
| 164 | +>>> nodes |
| 165 | +[<TreeNode branch1>] |
| 166 | + |
| 167 | +>>> node = tree.get_node_by_name('branch1') |
| 168 | +>>> node |
| 169 | +<TreeNode branch1> |
| 170 | + |
| 171 | +>>> node.is_root |
| 172 | +False |
| 173 | +>>> node.is_leaf |
| 174 | +False |
| 175 | +>>> node.is_branch |
| 176 | +True |
| 177 | + |
| 178 | +>>> node.parent |
| 179 | +<TreeNode root> |
| 180 | +>>> node.children |
| 181 | +[<TreeNode leaf1>, <TreeNode leaf2>] |
| 182 | + |
| 183 | +>>> leaf1 = node.children[0] |
| 184 | +>>> list(leaf1.ancestors) |
| 185 | +[<TreeNode branch1>, <TreeNode root>] |
| 186 | +>>> root = leaf1.ancestors[-1] |
| 187 | +>>> list(root.descendants) |
| 188 | +[<TreeNode branch1>, <TreeNode leaf1>, <TreeNode leaf2>, <TreeNode branch2>, <TreeNode leaf3>, <TreeNode leaf4>] |
| 189 | + |
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