pyecsca.sca.re.tree module

Tools for working with distinguishing maps and trees.

        ________
    ,o88~~88888888o,
  ,~~?8P  88888     8,
 d  d88 d88 d8_88     b
d  d888888888          b
8,?88888888  d8.b o.   8
8~88888888~ ~^8888  db 8
?  888888          ,888P
 ?  `8888b,_      d888P
  `   8888888b   ,888'
    ~-?8888888 _.P-~
        ~~~~~~

Here we grow the trees.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⢿⢢⡀⠸⣱⡀⢀⢤⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣤⡴⣴⠢⣧⣿⢤⣈⠺⡧⣺⠷⡟⠓⠃⣇⢧⣶⣀⠀⠀⠀⠀⠀⠀
⠀⢀⡀⢠⠽⣇⣹⠓⠽⡌⠓⠹⢶⢿⠀⢠⠁⡈⡶⠓⠋⠙⢻⡹⢓⡶⠀⠀⠀
⠀⣬⣿⡎⠓⠒⠻⢄⡀⢳⡀⠀⢸⠈⢦⢸⠀⣸⢇⠀⢀⣠⡞⢉⣡⣴⣲⠄⠀
⢠⣽⣈⣇⣴⣲⠖⠀⠉⠚⠳⣄⢸⠀⠈⣿⠊⡼⡦⢏⠉⠀⠉⢙⠮⢱⡆⠀⠀
⠘⢎⡇⠘⢧⡀⣀⣤⣤⠄⠀⠈⢻⣇⢀⣽⠖⢣⣣⡤⠤⠒⠚⣝⣆⠀⠀⠀⠀
⠀⠀⠓⠢⠤⠽⢧⣀⠀⠀⠀⠀⠀⣿⠏⢹⡴⠋⠙⠒⠶⢖⢤⡀⢀⣤⣶⠗⠀
⡢⢄⠐⠮⠷⢆⠀⠈⠙⠛⠛⠻⢶⣿⠀⣾⢀⣀⣀⣤⠤⡼⡓⢋⣿⠫⢕⡆⠀
⠈⣻⠧⠤⠤⠤⠿⠗⠒⠒⠛⠶⣤⣿⣼⠛⠉⠙⠒⣶⡖⠳⡗⠺⡿⣤⣤⢄⡀
⠰⣹⠀⠀⠀⢟⡆⠀⠀⠀⠀⠀⠈⣿⡿⠀⠀⠀⠀⢧⠇⠀⠀⠀⠀⠙⠮⡯⠀
⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠾⠛⣿⠙⠛⠶⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀

class Map(mapping, cfg_map, domain, codomain)

Bases: object

A distinguishing map.

                      domain
                      ======
                     ┌───┬───┬───┬───┬───┬───┐
                     │P1 │P2 │P3 │P4 │P5 │P5 │
                     └───┴───┴───┴───┴───┴───┘
                       :   :   :   :   :   :
                       :   :   :   :   :   :
                       :   :   :   :   :   :
                       :   :   :   :   :   :
 cfg_map     mapping ┌───┬───┬───┬───┬───┬───┐   codomain
 =======     ======= │ 0 │ 1 │ 2 │ 3 │ 4 │ 5 │   ========
┌────┬───┐       ┌───┼───┼───┼───┼───┼───┼───┤
│cfg1│  0│:::::::│  0│ T │ F │ T │ F │ T │ T │   {T, F}
├────┼───┤       ├───┼───┼───┼───┼───┼───┼───┤
│cfg2│  1│:::::::│  1│ F │ F │ F │ F │ T │ T │
├────┼───┤       ├───┼───┼───┼───┼───┼───┼───┤
│cfg3│  2│:::::::│  2│ T │ T │ F │ F │ T │ T │
└────┴───┘       └───┴───┴───┴───┴───┴───┴───┘

mapping: DataFrame

A dataframe containing the map outputs.

Both the columns and the index are simply numeric. The columns are the domain. The items in the rows are from the codomain. The index may have gaps. To map it back into the set of configs for each unique row, see the cfg_map.

cfg_map: DataFrame

A dataframe containing the map from the cfgs to the index (integers).

domain: List[Any]

The (ordered) domain of the mapping.

codomain: Set[Any]

The (unordered) codomain of the mapping.

classmethod from_sets(cfgs, mapping, deduplicate=False)

classmethod from_io_maps(cfgs, mapping)

property cfgs: Set[Any]

deduplicate()

Deduplicate the configs of this distinguishing map based on the rows.

merge(other)

Merge in another distinguishing map operating on different configs.

describe()

Return type:

str

class Node(cfgs, dmap_index=None, dmap_input=None, response=None, parent=None, children=None)

Bases: NodeMixin

A node in a distinguishing tree.

cfgs: Set[Any]

Set of configs associated with this node.

dmap_index: Optional[int]

The dmap index to be used for the oracle call for this node.

dmap_input: Optional[Any]

The input for the oracle call for this node (is from dmap at dmap_index in the Tree).

response: Optional[Any]

The response to the previous oracle call that resulted in this node.

property parent

Parent Node.

On set, the node is detached from any previous parent node and attached to the new node.

>>> from anytree import Node, RenderTree
>>> udo = Node("Udo")
>>> marc = Node("Marc")
>>> lian = Node("Lian", parent=marc)
>>> print(RenderTree(udo))
Node('/Udo')
>>> print(RenderTree(marc))
Node('/Marc')
└── Node('/Marc/Lian')

Attach

>>> marc.parent = udo
>>> print(RenderTree(udo))
Node('/Udo')
└── Node('/Udo/Marc')
    └── Node('/Udo/Marc/Lian')

Detach

To make a node to a root node, just set this attribute to None.

>>> marc.is_root
False
>>> marc.parent = None
>>> marc.is_root
True

property children

All child nodes.

>>> from anytree import Node
>>> n = Node("n")
>>> a = Node("a", parent=n)
>>> b = Node("b", parent=n)
>>> c = Node("c", parent=n)
>>> n.children
(Node('/n/a'), Node('/n/b'), Node('/n/c'))

Modifying the children attribute modifies the tree.

Detach

The children attribute can be updated by setting to an iterable.

>>> n.children = [a, b]
>>> n.children
(Node('/n/a'), Node('/n/b'))

Node c is removed from the tree. In case of an existing reference, the node c does not vanish and is the root of its own tree.

>>> c
Node('/c')

Attach

>>> d = Node("d")
>>> d
Node('/d')
>>> n.children = [a, b, d]
>>> n.children
(Node('/n/a'), Node('/n/b'), Node('/n/d'))
>>> d
Node('/n/d')

Duplicate

A node can just be the children once. Duplicates cause a TreeError:

>>> n.children = [a, b, d, a]
Traceback (most recent call last):
    ...
anytree.node.exceptions.TreeError: Cannot add node Node('/n/a') multiple times as child.

property ancestors

All parent nodes and their parent nodes.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.ancestors
()
>>> marc.ancestors
(Node('/Udo'),)
>>> lian.ancestors
(Node('/Udo'), Node('/Udo/Marc'))

property anchestors

All parent nodes and their parent nodes - see ancestors.

The attribute anchestors is just a typo of ancestors. Please use ancestors. This attribute will be removed in the 3.0.0 release.

property depth

Number of edges to the root Node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.depth
0
>>> marc.depth
1
>>> lian.depth
2

property descendants

All child nodes and all their child nodes.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> loui = Node("Loui", parent=marc)
>>> soe = Node("Soe", parent=lian)
>>> udo.descendants
(Node('/Udo/Marc'), Node('/Udo/Marc/Lian'), Node('/Udo/Marc/Lian/Soe'), Node('/Udo/Marc/Loui'))
>>> marc.descendants
(Node('/Udo/Marc/Lian'), Node('/Udo/Marc/Lian/Soe'), Node('/Udo/Marc/Loui'))
>>> lian.descendants
(Node('/Udo/Marc/Lian/Soe'),)

property height

Number of edges on the longest path to a leaf Node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.height
2
>>> marc.height
1
>>> lian.height
0

property is_leaf

Node has no children (External Node).

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.is_leaf
False
>>> marc.is_leaf
False
>>> lian.is_leaf
True

property is_root

Node is tree root.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.is_root
True
>>> marc.is_root
False
>>> lian.is_root
False

iter_path_reverse()

Iterate up the tree from the current node to the root node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> for node in udo.iter_path_reverse():
...     print(node)
Node('/Udo')
>>> for node in marc.iter_path_reverse():
...     print(node)
Node('/Udo/Marc')
Node('/Udo')
>>> for node in lian.iter_path_reverse():
...     print(node)
Node('/Udo/Marc/Lian')
Node('/Udo/Marc')
Node('/Udo')

property leaves

Tuple of all leaf nodes.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> loui = Node("Loui", parent=marc)
>>> lazy = Node("Lazy", parent=marc)
>>> udo.leaves
(Node('/Udo/Marc/Lian'), Node('/Udo/Marc/Loui'), Node('/Udo/Marc/Lazy'))
>>> marc.leaves
(Node('/Udo/Marc/Lian'), Node('/Udo/Marc/Loui'), Node('/Udo/Marc/Lazy'))

property path

Path from root node down to this Node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.path
(Node('/Udo'),)
>>> marc.path
(Node('/Udo'), Node('/Udo/Marc'))
>>> lian.path
(Node('/Udo'), Node('/Udo/Marc'), Node('/Udo/Marc/Lian'))

property root

Tree Root Node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> udo.root
Node('/Udo')
>>> marc.root
Node('/Udo')
>>> lian.root
Node('/Udo')

separator = '/'

property siblings

Tuple of nodes with the same parent.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> loui = Node("Loui", parent=marc)
>>> lazy = Node("Lazy", parent=marc)
>>> udo.siblings
()
>>> marc.siblings
()
>>> lian.siblings
(Node('/Udo/Marc/Loui'), Node('/Udo/Marc/Lazy'))
>>> loui.siblings
(Node('/Udo/Marc/Lian'), Node('/Udo/Marc/Lazy'))

property size

Tree size — the number of nodes in tree starting at this node.

>>> from anytree import Node
>>> udo = Node("Udo")
>>> marc = Node("Marc", parent=udo)
>>> lian = Node("Lian", parent=marc)
>>> loui = Node("Loui", parent=marc)
>>> soe = Node("Soe", parent=lian)
>>> udo.size
5
>>> marc.size
4
>>> lian.size
2
>>> loui.size
1

class Tree(root, *maps)

Bases: object

A distinguishing tree.

maps: List[Map]

A list of dmaps. Nodes index into this when choosing which oracle to use.

root: Node

A root of the tree.

property leaves: Tuple[Node]

Get the leaves of the tree as a tuple.

property height: int

Get the height of the tree (distance from the root to the deepest leaf).

property size: int

Get the size of the tree (number of nodes).

property precise: bool

Whether the tree is precise (all leaves have only a single configuration).

render()

Render the tree.

Return type:

str

render_basic()

Render the tree in a basic form, with number of configs as nodes.

Return type:

str

describe()

Describe some important properties of the tree.

Return type:

str

expand(dmap)

Expand a tree with a new distinguishing map.

Return type:

Tree

classmethod build(cfgs, *maps)

Build a tree.

Return type:

Tree