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******************************************************************************** | ||
Hash Tree | ||
******************************************************************************** | ||
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Hash tree (or Merkle tree) is a tree data structure in which every leaf node is labelled with the hash of a data block and every non-leaf node is labelled with the cryptographic hash of the labels of its child nodes. | ||
Hash trees are useful because they allow efficient and secure verification of the contents of large data structures. It is widly used in modern distributed version control systems like Git as well as peer-to-peer systems like Blockchain. | ||
COMPAS provides a simple implementation of a hash tree that can be used for detecting and locating changes in a complex data structure. In context of AEC, this feature can also be useful for many real-world applications, | ||
such as detecting changes in a complicated Building Information Model, tracking minor deformation in structural assessments, or even detecting robot joint movements in a digital fabracation process, and many more. | ||
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Hash Tree From Dict | ||
=================== | ||
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A COMPAS hash tree can be created from any raw python dictionary using the `HashTree.from_dict` method. | ||
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>>> from compas.datastructures import HashTree | ||
>>> data = {'a': 1, 'b': 2, 'c': {'d': 3, 'e': 4}} | ||
>>> tree = HashTree.from_dict(data) | ||
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The structure of the hash tree and crypo hash on each node can be visualised using the `print` function. | ||
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>>> print(tree) | ||
<Tree with 6 nodes> | ||
└── ROOT @ b2e1c | ||
├── .a:1 @ 4d9a8 | ||
├── .b:2 @ 82b86 | ||
└── .c @ 664a3 | ||
├── .d:3 @ 76d82 | ||
└── .e:4 @ ebe84 | ||
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Once the original data is modified, a new hash tree can be created from the modified data and the changes can be detected by comparing the two hash trees. | ||
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>>> data['c']['d'] = 5 | ||
>>> del data["b"] | ||
>>> data["f"] = True | ||
>>> new_tree = HashTree.from_dict(data) | ||
>>> print(new_tree) | ||
<Tree with 6 nodes> | ||
└── ROOT @ a8c1b | ||
├── .a:1 @ 4d9a8 | ||
├── .c @ e1701 | ||
│ ├── .d:5 @ 98b1e | ||
│ └── .e:4 @ ebe84 | ||
└── .f:True @ 753e5 | ||
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>>> new_tree.diff(tree) | ||
{'added': [{'path': '.f', 'value': True}], 'removed': [{'path': '.b', 'value': 2}], 'modified': [{'path': '.c.d', 'old': 3, 'new': 5}]} | ||
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Hash Tree From COMPAS Data | ||
========================== | ||
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A COMPAS hash tree can also be created from any classes that inherit from the base `Data` class in COMPAS, such as `Mesh`, `Graph`, `Shape`, `Geometry`, etc. | ||
This is done by hashing the serilised data of the object. | ||
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>>> from compas.datastructures import Mesh | ||
>>> mesh = Mesh.from_polyhedron(6) | ||
>>> tree = HashTree.from_object(mesh) | ||
>>> print(tree) | ||
<Tree with 58 nodes> | ||
└── ROOT @ 44cc1 | ||
├── .attributes @ 3370c | ||
├── .default_vertex_attributes @ 84700 | ||
│ ├── .x:0.0 @ 5bc2d | ||
│ ├── .y:0.0 @ 1704b | ||
│ └── .z:0.0 @ 6199e | ||
├── .default_edge_attributes @ 5e834 | ||
├── .default_face_attributes @ 5a8d9 | ||
├── .vertex @ ff6d0 | ||
│ ├── .0 @ 84ec1 | ||
│ │ ├── .x:-1.1547005383792517 @ 874f4 | ||
│ │ ├── .y:-1.1547005383792517 @ d2b16 | ||
│ │ └── .z:-1.1547005383792517 @ bd9f0 | ||
│ ├── .1 @ 316d3 | ||
... | ||
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>>> mesh.vertex_attribute(0, "x", 1.0) | ||
>>> mesh.delete_face(3) | ||
>>> new_tree = HashTree.from_object(mesh) | ||
>>> new_tree.diff(tree) | ||
{'added': [], 'removed': [{'path': '.face.3', 'value': [4, 2, 3, 5]}, {'path': '.facedata.3', 'value': None}], 'modified': [{'path': '.vertex.0.x', 'old': -1.1547005383792517, 'new': 1.0}]} | ||
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advanced.tolerance | ||
advanced.serialisation | ||
advanced.rpc | ||
advanced.hashtree | ||
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.. toctree:: | ||
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import hashlib | ||
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from compas.data import Data | ||
from compas.data import json_dumps | ||
from compas.datastructures import Tree | ||
from compas.datastructures import TreeNode | ||
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class HashNode(TreeNode): | ||
"""A node in a HashTree. This class is used internally by the HashTree class. | ||
Parameters | ||
---------- | ||
path : str | ||
The relative path of the node. | ||
value : str, int, float, list, bool, None | ||
The value of the node. Only leaf nodes can have a value. | ||
Attributes | ||
---------- | ||
path : str | ||
The relative path of the node. | ||
value : str, int, float, list, bool, None | ||
The value of the node. Only leaf nodes can have a value. | ||
absolute_path : str | ||
The absolute path of the node. | ||
is_value : bool | ||
True if the node is a leaf node and has a value. | ||
signature : str | ||
The SHA256 signature of the node. | ||
children_dict : dict | ||
A dictionary of the children of the node. The keys are the relative paths | ||
children_paths : list[str] | ||
A list of the relative paths of the children of the node. | ||
""" | ||
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def __init__(self, path, value=None, **kwargs): | ||
super(HashNode, self).__init__(**kwargs) | ||
self.path = path | ||
self.value = value | ||
self._signature = None | ||
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def __repr__(self): | ||
path = self.path or "ROOT" | ||
if self.value is not None: | ||
return "{}:{} @ {}".format(path, self.value, self.signature[:5]) | ||
else: | ||
return "{} @ {}".format(path, self.signature[:5]) | ||
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@property | ||
def absolute_path(self): | ||
if self.parent is None: | ||
return self.path | ||
return self.parent.absolute_path + self.path | ||
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@property | ||
def is_value(self): | ||
return self.value is not None | ||
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@property | ||
def signature(self): | ||
return self._signature | ||
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@property | ||
def children_dict(self): | ||
return {child.path: child for child in self.children} | ||
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@property | ||
def children_paths(self): | ||
return [child.path for child in self.children] | ||
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@classmethod | ||
def from_dict(cls, data_dict, path=""): | ||
"""Construct a HashNode from a dictionary. | ||
Parameters | ||
---------- | ||
data_dict : dict | ||
A dictionary to construct the HashNode from. | ||
path : str | ||
The relative path of the node. | ||
Returns | ||
------- | ||
:class:`compas.datastructures.HashNode` | ||
A HashNode constructed from the dictionary. | ||
""" | ||
node = cls(path) | ||
for key in data_dict: | ||
path = ".{}".format(key) | ||
if isinstance(data_dict[key], dict): | ||
child = cls.from_dict(data_dict[key], path=path) | ||
node.add(child) | ||
else: | ||
node.add(cls(path, value=data_dict[key])) | ||
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return node | ||
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class HashTree(Tree): | ||
"""HashTree data structure to compare differences in hierarchical data. | ||
A Hash tree (or Merkle tree) is a tree in which every leaf node is labelled with the cryptographic hash | ||
of a data block and every non-leaf node is labelled with the hash of the labels of its child nodes. | ||
Hash trees allow efficient and secure verification of the contents of large data structures. | ||
They can also be used to compare different versions(states) of the same data structure for changes. | ||
Attributes | ||
---------- | ||
signatures : dict[str, str] | ||
The SHA256 signatures of the nodes in the tree. The keys are the absolute paths of the nodes, the values are the signatures. | ||
Examples | ||
-------- | ||
>>> tree1 = HashTree.from_dict({"a": {"b": 1, "c": 3}, "d": [1, 2, 3], "e": 2}) | ||
>>> tree2 = HashTree.from_dict({"a": {"b": 1, "c": 2}, "d": [1, 2, 3], "f": 2}) | ||
>>> print(tree1) | ||
+-- ROOT @ 4cd56 | ||
+-- .a @ c16fd | ||
| +-- .b:1 @ c9b55 | ||
| +-- .c:3 @ 518d4 | ||
+-- .d:[1, 2, 3] @ 9be3a | ||
+-- .e:2 @ 68355 | ||
>>> print(tree2) | ||
+-- ROOT @ fbe39 | ||
+-- .a @ c2022 | ||
| +-- .b:1 @ c9b55 | ||
| +-- .c:2 @ e3365 | ||
+-- .d:[1, 2, 3] @ 9be3a | ||
+-- .f:2 @ 93861 | ||
>>> tree2.print_diff(tree1) | ||
Added: | ||
{'path': '.f', 'value': 2} | ||
Removed: | ||
{'path': '.e', 'value': 2} | ||
Modified: | ||
{'path': '.a.c', 'old': 3, 'new': 2} | ||
""" | ||
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def __init__(self, **kwargs): | ||
super(HashTree, self).__init__(**kwargs) | ||
self.signatures = {} | ||
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@classmethod | ||
def from_dict(cls, data_dict): | ||
"""Construct a HashTree from a dictionary. | ||
Parameters | ||
---------- | ||
data_dict : dict | ||
A dictionary to construct the HashTree from. | ||
Returns | ||
------- | ||
:class:`compas.datastructures.HashTree` | ||
A HashTree constructed from the dictionary. | ||
""" | ||
tree = cls() | ||
root = HashNode.from_dict(data_dict) | ||
tree.add(root) | ||
tree.node_signature(tree.root) | ||
return tree | ||
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@classmethod | ||
def from_object(cls, obj): | ||
"""Construct a HashTree from a COMPAS data object.""" | ||
if not isinstance(obj, Data): | ||
raise TypeError("The object must be a COMPAS data object.") | ||
return cls.from_dict(obj.__data__) | ||
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def node_signature(self, node, parent_path=""): | ||
"""Compute the SHA256 signature of a node. The computed nodes are cached in `self.signatures` dictionary. | ||
Parameters | ||
---------- | ||
node : :class:`compas.datastructures.HashNode` | ||
The node to compute the signature of. | ||
parent_path : str | ||
The absolute path of the parent node. | ||
Returns | ||
------- | ||
str | ||
The SHA256 signature of the node. | ||
""" | ||
absolute_path = parent_path + node.path | ||
if absolute_path in self.signatures: | ||
return self.signatures[absolute_path] | ||
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content = { | ||
"path": node.path, | ||
"value": node.value, | ||
"children": [self.node_signature(child, absolute_path) for child in node.children], | ||
} | ||
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signature = hashlib.sha256(json_dumps(content).encode()).hexdigest() | ||
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self.signatures[absolute_path] = signature | ||
node._signature = signature | ||
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return signature | ||
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def diff(self, other): | ||
"""Compute the difference between two HashTrees. | ||
Parameters | ||
---------- | ||
other : :class:`compas.datastructures.HashTree` | ||
The HashTree to compare with. | ||
Returns | ||
------- | ||
dict | ||
A dictionary containing the differences between the two HashTrees. The keys are `added`, `removed` and `modified`. | ||
The values are lists of dictionaries containing the paths and values of the nodes that were added, removed or modified. | ||
""" | ||
added = [] | ||
removed = [] | ||
modified = [] | ||
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def _diff(node1, node2): | ||
if node1.signature == node2.signature: | ||
return | ||
else: | ||
if node1.is_value or node2.is_value: | ||
modified.append({"path": node1.absolute_path, "old": node2.value, "new": node1.value}) | ||
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for path in node1.children_paths: | ||
if path in node2.children_dict: | ||
_diff(node1.children_dict[path], node2.children_dict[path]) | ||
else: | ||
added.append({"path": node1.children_dict[path].absolute_path, "value": node1.children_dict[path].value}) | ||
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for path in node2.children_paths: | ||
if path not in node1.children_dict: | ||
removed.append({"path": node2.children_dict[path].absolute_path, "value": node2.children_dict[path].value}) | ||
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_diff(self.root, other.root) | ||
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return {"added": added, "removed": removed, "modified": modified} | ||
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def print_diff(self, other): | ||
"""Print the difference between two HashTrees. | ||
Parameters | ||
---------- | ||
other : :class:`compas.datastructures.HashTree` | ||
The HashTree to compare with. | ||
""" | ||
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diff = self.diff(other) | ||
print("Added:") | ||
for item in diff["added"]: | ||
print(item) | ||
print("Removed:") | ||
for item in diff["removed"]: | ||
print(item) | ||
print("Modified:") | ||
for item in diff["modified"]: | ||
print(item) |
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