1 # This file is part of NIT ( http://www.nitlanguage.org ).
3 # Copyright 2012 Jean Privat <jean@pryen.org>
5 # Licensed under the Apache License, Version 2.0 (the "License");
6 # you may not use this file except in compliance with the License.
7 # You may obtain a copy of the License at
9 # http://www.apache.org/licenses/LICENSE-2.0
11 # Unless required by applicable law or agreed to in writing, software
12 # distributed under the License is distributed on an "AS IS" BASIS,
13 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14 # See the License for the specific language governing permissions and
15 # limitations under the License.
17 # Pre order sets and partial order set (ie hierarchies)
21 # This class modelize an incremental preorder graph where new node and edges can be added (but no removal)
22 # Preorder graph has two caracteristics:
23 # * reflexivity: an element is in relation with itself (ie `self.has(e)' implies `self.has_edge(e,e)')
24 # * transitivity: `self.has_edge(e,f)' and `self.has_edge(f,g)' implies `self.has_edge(e,g)'
25 class POSet[E
: Object]
26 super NaiveCollection[E
]
28 redef fun iterator
do return nodes
.iterator
31 private var nodes
: Set[E
] = new HashSet[E
]
32 private var tos
: HashMap[E
, Set[E
]] = new HashMap[E
, Set[E
]]
33 private var froms
: HashMap[E
, Set[E
]] = new HashMap[E
, Set[E
]]
34 private var dtos
: HashMap[E
, Set[E
]] = new HashMap[E
, Set[E
]]
35 private var dfroms
: HashMap[E
, Set[E
]] = new HashMap[E
, Set[E
]]
36 private var elements
: HashMap[E
, POSetElement[E
]] = new HashMap[E
, POSetElement[E
]]
38 # Add a node (an element) to the posed
39 # The new element is added unconnected to any other nodes (it is both a new root and a new leaf).
40 # Return the POSetElement associated to `e'.
41 # If `e' is already present in the POSet then just return the POSetElement (usually you will prefer []) is this case.
42 fun add_node
(e
: E
): POSetElement[E
]
44 if nodes
.has
(e
) then return self.elements
[e
]
46 tos
[e
] = new HashSet[E
]
48 froms
[e
] = new HashSet[E
]
50 dtos
[e
] = new HashSet[E
]
51 dfroms
[e
] = new HashSet[E
]
52 var poe
= new POSetElement[E
](self, e
, nodes
.length
)
53 self.elements
[e
] = poe
57 # Return a view of `e' in the poset.
58 # This allows to asks manipulate elements in thier relation with others elements.
60 # var poset = POSet[Something] = ...
62 # for y in poset[x].direct_greaters do
68 fun [](e
: E
): POSetElement[E
]
71 return self.elements
[e
]
74 # Add an edge from `f' to `t'.
75 # Because a POSet is transitive, all transitive edges are also added to the graph.
76 # If the edge already exists, the this function does nothing.
77 # If a reverse edge (from `t' to 'f') already exists, a loop is created.
79 # FIXME: Do somethind clever to manage loops.
84 # Skip if edge already present
85 if tos
[f
].has
(t
) then return
86 # Add the edge and close the transitivity
93 # Update the transitive reduction
94 if tos
[t
].has
(f
) then return # Skip the reduction if there is a loop
96 for x
in dfroms
[t
].to_a
do
102 for x
in dtos
[f
].to_a
do
103 if froms
[x
].has
(t
) then
112 # Is there an edge (transitive or not) from `f' to `t'?
113 # Since the POSet is reflexive, true is returned if `f == t'.
114 fun has_edge
(f
,t
: E
): Bool
116 return nodes
.has
(f
) and tos
[f
].has
(t
)
119 # Is there a direct edge from `f' to `t'?
120 # Note that because of loops, the result may not be the expected one.
121 fun has_direct_edge
(f
,t
: E
): Bool
123 return nodes
.has
(f
) and dtos
[f
].has
(t
)
126 # Display the POSet in a gaphical windows.
127 # Graphviz with a working -Txlib is expected.
131 var f
= new OProcess("dot", "-Txlib")
133 f
.write
"digraph \{\n"
136 if self.has_edge
(y
,x
) then
137 f
.write
"\"{x}\
" -> \"{y}\
"[dir=both];\n"
139 f
.write
"\"{x}\
" -> \"{y}\
";\n"
148 # Compare two elements in an arbitrary total order.
149 # Tis function is mainly used to sort elements of the set in an arbitrary linear extension.
150 # if a<b then return -1
151 # if a>b then return 1
152 # if a == b then return 0
153 # else return -1 or 1
154 # The total order is stable unless a new node or a new edge is added
155 fun compare
(a
, b
: E
): Int
157 var res
= tos
[a
].length
<=> tos
[b
].length
158 if res
!= 0 then return res
159 return elements
[a
].count
<=> elements
[b
].count
163 # View of an objet in a poset
164 # This class is a helper to handle specific queries on a same object
166 # For instance, one common usage is to add a specific attribute for each poset a class belong.
169 # var in_some_relation: POSetElement[Thing]
170 # var in_other_relation: POSetElement[Thing]
173 # t.in_some_relation.greaters
175 class POSetElement[E
: Object]
176 # The poset self belong to
179 # The real object behind the view
183 # This attribute is used to force a total order for POSet#compare
184 private var count
: Int
186 # Return the set of all elements `t' that have an edge from `element' to `t'.
187 # Since the POSet is reflexive, element is included in the set.
188 fun greaters
: Collection[E
]
190 return self.poset
.tos
[self.element
]
193 # Return the set of all elements `t' that have a direct edge from `element' to `t'.
194 fun direct_greaters
: Collection[E
]
196 return self.poset
.dtos
[self.element
]
199 # Return the set of all elements `f' that have an edge from `f' to `element'.
200 # Since the POSet is reflexive, element is included in the set.
201 fun smallers
: Collection[E
]
203 return self.poset
.froms
[self.element
]
206 # Return the set of all elements `f' that have an edge from `f' to `element'.
207 fun direct_smallers
: Collection[E
]
209 return self.poset
.dfroms
[self.element
]
212 # Is there an edge from `object' to `t'?
215 return self.poset
.tos
[self.element
].has
(t
)
218 # Is `t != element' and is there an edge from `object' to `t'?
221 return t
!= self.element
and self.poset
.tos
[self.element
].has
(t
)