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Authored by
tom
2014-08-30 17:57:15 -0700
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Commit
41c3fccbc87f151d5b9c55275741b27c2969ad4d
41c3fccb
1 parent
2e1f071d
Added iterative DFS algorithm.
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2 changed files
with
248 additions
and
0 deletions
utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java
utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java
utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java
0 → 100644
View file @
41c3fcc
package
org
.
onlab
.
graph
;
import
java.util.HashMap
;
import
java.util.HashSet
;
import
java.util.Map
;
import
java.util.Set
;
import
java.util.Stack
;
/**
* DFS graph search algorithm implemented via iteration rather than recursion.
*/
public
class
DepthFirstSearch
<
V
extends
Vertex
,
E
extends
Edge
<
V
>>
extends
AbstractGraphPathSearch
<
V
,
E
>
{
/**
* Graph edge types as classified by the DFS algorithm.
*/
public
static
enum
EdgeType
{
TREE_EDGE
,
FORWARD_EDGE
,
BACK_EDGE
,
CROSS_EDGE
}
@Override
public
SpanningTreeResult
search
(
Graph
<
V
,
E
>
graph
,
V
src
,
V
dst
,
EdgeWeight
<
V
,
E
>
weight
)
{
checkArguments
(
graph
,
src
,
dst
);
// Prepare the search result.
SpanningTreeResult
result
=
new
SpanningTreeResult
(
src
,
dst
);
// The source vertex has cost 0, of course.
result
.
updateVertex
(
src
,
null
,
0.0
,
true
);
// Track finished vertexes and keep a stack of vertexes that have been
// started; start this stack with the source on it.
Set
<
V
>
finished
=
new
HashSet
<>();
Stack
<
V
>
stack
=
new
Stack
<>();
stack
.
push
(
src
);
while
(!
stack
.
isEmpty
())
{
V
vertex
=
stack
.
peek
();
if
(
vertex
.
equals
(
dst
))
{
// If we have reached our destination, bail.
break
;
}
double
cost
=
result
.
cost
(
vertex
);
boolean
tangent
=
false
;
// Visit all egress edges of the current vertex.
for
(
E
edge
:
graph
.
getEdgesFrom
(
vertex
))
{
// If we have seen the edge already, skip it.
if
(
result
.
isEdgeMarked
(
edge
))
{
continue
;
}
// Examine the destination of the current edge.
V
nextVertex
=
edge
.
dst
();
if
(!
result
.
hasCost
(
nextVertex
))
{
// If this vertex have not finished this vertex yet,
// not started it, then start it as a tree-edge.
result
.
markEdge
(
edge
,
EdgeType
.
TREE_EDGE
);
double
newCost
=
cost
+
(
weight
==
null
?
1.0
:
weight
.
weight
(
edge
));
result
.
updateVertex
(
nextVertex
,
edge
,
newCost
,
true
);
stack
.
push
(
nextVertex
);
tangent
=
true
;
break
;
}
else
if
(!
finished
.
contains
(
nextVertex
))
{
// We started the vertex, but did not yet finish it, so
// it must be a back-edge.
result
.
markEdge
(
edge
,
EdgeType
.
BACK_EDGE
);
}
else
{
// The target has been finished already, so what we have
// here is either a forward-edge or a cross-edge.
result
.
markEdge
(
edge
,
isForwardEdge
(
result
,
edge
)
?
EdgeType
.
FORWARD_EDGE
:
EdgeType
.
CROSS_EDGE
);
}
}
// If we have not been sent on a tangent search and reached the
// end of the current scan normally, mark the node as finished
// and pop it off the vertex stack.
if
(!
tangent
)
{
finished
.
add
(
vertex
);
stack
.
pop
();
}
}
// Finally, but the paths on the search result and return.
result
.
buildPaths
();
return
result
;
}
/**
* Determines whether the specified edge is a forward edge using the
* accumulated set of parent edges for each vertex.
*
* @param result search result
* @param edge edge to be classified
* @return true if the edge is a forward edge
*/
protected
boolean
isForwardEdge
(
DefaultResult
result
,
E
edge
)
{
// Follow the parent edges until we hit the edge source vertex
V
target
=
edge
.
src
();
V
vertex
=
edge
.
dst
();
Set
<
E
>
parentEdges
;
while
((
parentEdges
=
result
.
parents
.
get
(
vertex
))
!=
null
)
{
for
(
E
parentEdge
:
parentEdges
)
{
vertex
=
parentEdge
.
src
();
if
(
vertex
.
equals
(
target
))
{
return
true
;
}
}
}
return
false
;
}
/**
* Graph search result which includes edge classification for building
* a spanning tree.
*/
public
class
SpanningTreeResult
extends
DefaultResult
{
protected
final
Map
<
E
,
EdgeType
>
edges
=
new
HashMap
<>();
/**
* Creates a new spanning tree result.
*
* @param src search source
* @param dst optional search destination
*/
public
SpanningTreeResult
(
V
src
,
V
dst
)
{
super
(
src
,
dst
);
}
/**
* Returns the map of edge type.
*
* @return edge to edge type bindings
*/
public
Map
<
E
,
EdgeType
>
edges
()
{
return
edges
;
}
/**
* Indicates whether or not the edge has been marked with type.
*
* @param edge edge to test
* @return true if the edge has been marked already
*/
boolean
isEdgeMarked
(
E
edge
)
{
return
edges
.
containsKey
(
edge
);
}
/**
* Marks the edge with the specified type.
*
* @param edge edge to mark
* @param type edge type
*/
void
markEdge
(
E
edge
,
EdgeType
type
)
{
edges
.
put
(
edge
,
type
);
}
}
}
utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java
0 → 100644
View file @
41c3fcc
package
org
.
onlab
.
graph
;
import
org.junit.Test
;
import
java.util.Set
;
import
static
org
.
junit
.
Assert
.
assertEquals
;
import
static
org
.
junit
.
Assert
.
assertTrue
;
import
static
org
.
onlab
.
graph
.
DepthFirstSearch
.
EdgeType
;
/**
* Test of the DFS algorithm.
*/
public
class
DepthFirstSearchTest
extends
AbstractGraphPathSearchTest
{
@Override
protected
DepthFirstSearch
<
TestVertex
,
TestEdge
>
graphSearch
()
{
return
new
DepthFirstSearch
<>();
}
@Test
public
void
defaultGraphTest
()
{
executeDefaultTest
(
3
,
6
,
5.0
,
12.0
);
executeBroadSearch
();
}
@Test
public
void
defaultHopCountWeight
()
{
weight
=
null
;
executeDefaultTest
(
3
,
6
,
3.0
,
6.0
);
executeBroadSearch
();
}
protected
void
executeDefaultTest
(
int
minLength
,
int
maxLength
,
double
minCost
,
double
maxCost
)
{
g
=
new
AdjacencyListsGraph
<>(
vertices
(),
edges
());
DepthFirstSearch
<
TestVertex
,
TestEdge
>
search
=
graphSearch
();
DepthFirstSearch
<
TestVertex
,
TestEdge
>.
SpanningTreeResult
result
=
search
.
search
(
g
,
A
,
H
,
weight
);
Set
<
Path
<
TestVertex
,
TestEdge
>>
paths
=
result
.
paths
();
assertEquals
(
"incorrect path count"
,
1
,
paths
.
size
());
Path
path
=
paths
.
iterator
().
next
();
System
.
out
.
println
(
path
);
assertEquals
(
"incorrect src"
,
A
,
path
.
src
());
assertEquals
(
"incorrect dst"
,
H
,
path
.
dst
());
int
l
=
path
.
edges
().
size
();
assertTrue
(
"incorrect path length "
+
l
,
minLength
<=
l
&&
l
<=
maxLength
);
assertTrue
(
"incorrect path cost "
+
path
.
cost
(),
minCost
<=
path
.
cost
()
&&
path
.
cost
()
<=
maxCost
);
System
.
out
.
println
(
result
.
edges
());
printPaths
(
paths
);
}
public
void
executeBroadSearch
()
{
g
=
new
AdjacencyListsGraph
<>(
vertices
(),
edges
());
DepthFirstSearch
<
TestVertex
,
TestEdge
>
search
=
graphSearch
();
// Perform narrow path search to a specific destination.
DepthFirstSearch
<
TestVertex
,
TestEdge
>.
SpanningTreeResult
result
=
search
.
search
(
g
,
A
,
null
,
weight
);
assertEquals
(
"incorrect paths count"
,
7
,
result
.
paths
().
size
());
int
[]
types
=
new
int
[]{
0
,
0
,
0
,
0
};
for
(
EdgeType
t
:
result
.
edges
().
values
())
{
types
[
t
.
ordinal
()]
+=
1
;
}
assertEquals
(
"incorrect tree-edge count"
,
7
,
types
[
EdgeType
.
TREE_EDGE
.
ordinal
()]);
assertEquals
(
"incorrect back-edge count"
,
1
,
types
[
EdgeType
.
BACK_EDGE
.
ordinal
()]);
assertEquals
(
"incorrect cross-edge & forward-edge count"
,
4
,
types
[
EdgeType
.
FORWARD_EDGE
.
ordinal
()]
+
types
[
EdgeType
.
CROSS_EDGE
.
ordinal
()]);
}
}
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