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graph.ts
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graph.ts
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export
type
NodeID
=
string
|
number
;
export
type
Node
=
{
id
:
NodeID
;
priority
:
number
;
};
type
NextNodeCandidate
=
{
index
:
number
|
null
;
mean_priority_of_succcessors
:
number
;
priority
:
number
;
};
export
default
class
Graph
{
node_ids
:
NodeID
[];
nodes
:
Node
[];
adjacency_matrix
:
(
0
|
1
)[][];
indexes
:
number
[];
front
:
number
[];
visited
:
number
[];
static
MAX_PRIORITY
=
0
;
constructor
()
{
this
.
adjacency_matrix
=
[];
this
.
node_ids
=
[];
this
.
nodes
=
[];
this
.
indexes
=
[];
}
addNode
(
id
:
NodeID
,
priority
:
number
)
{
this
.
adjacency_matrix
.
push
(
Array
(
this
.
getNoOfNodes
()).
fill
(
0
));
for
(
const
row
of
this
.
adjacency_matrix
)
{
row
.
push
(
0
);
}
this
.
node_ids
.
push
(
id
);
this
.
nodes
.
push
({
id
,
priority
});
this
.
indexes
.
push
(
this
.
nodes
.
length
-
1
);
}
getNoOfNodes
()
{
return
this
.
nodes
.
length
;
}
addEdge
(
id_i
:
NodeID
,
id_j
:
NodeID
)
{
const
[
i
,
j
]
=
this
.
_getIndexesOfNodePair
(
id_i
,
id_j
);
this
.
adjacency_matrix
[
i
][
j
]
=
1
;
}
_getIndexesOfNodePair
(
id_i
:
NodeID
,
id_j
:
NodeID
)
{
return
[
this
.
node_ids
.
indexOf
(
id_i
),
this
.
node_ids
.
indexOf
(
id_j
)];
}
pathExists
(
id_i
:
NodeID
,
id_j
:
NodeID
)
{
const
[
i
,
j
]
=
this
.
_getIndexesOfNodePair
(
id_i
,
id_j
);
return
this
.
_pathExists
(
i
,
j
);
}
_pathExists
(
i
:
number
,
j
:
number
)
:
boolean
{
if
(
this
.
adjacency_matrix
[
i
][
j
])
{
return
true
;
}
for
(
let
k
=
0
;
k
<
this
.
getNoOfNodes
();
++
k
)
{
if
(
this
.
adjacency_matrix
[
i
][
k
])
{
return
this
.
_pathExists
(
k
,
j
);
}
}
return
false
;
}
bestFirstSearch
()
{
this
.
front
=
[];
this
.
visited
=
[];
while
(
this
.
visited
.
length
<
this
.
nodes
.
length
)
{
const
{
front_node
,
next_node
}
=
this
.
_getNextNode
();
this
.
visited
.
push
(
next_node
as
number
);
if
(
front_node
!==
null
)
{
if
(
this
.
_areAllSuccessorsVisited
(
front_node
))
{
const
index
=
this
.
front
.
indexOf
(
front_node
);
this
.
front
.
splice
(
index
,
1
);
}
}
if
(
!
this
.
_areAllSuccessorsVisited
(
next_node
as
number
))
{
this
.
front
.
push
(
next_node
as
number
);
}
}
return
this
.
visited
.
map
((
i
)
=>
this
.
nodes
[
i
].
id
);
}
_areAllSuccessorsVisited
(
i
:
number
)
{
for
(
let
j
=
0
;
j
<
this
.
nodes
.
length
;
++
j
)
{
if
(
this
.
adjacency_matrix
[
i
][
j
]
&&
!
this
.
_isVisited
(
j
))
{
return
false
;
}
}
return
true
;
}
_isVisited
(
i
:
number
)
{
return
this
.
visited
.
includes
(
i
);
}
_isNodeWithoutPredecessors
(
i
:
number
)
{
for
(
let
j
=
0
;
j
<
this
.
nodes
.
length
;
++
j
)
{
if
(
this
.
adjacency_matrix
[
j
][
i
])
{
return
false
;
}
}
return
true
;
}
_getNextNode
()
:
{
front_node
:
number
|
null
;
next_node
:
number
|
null
}
{
const
nodesWithoutPredecessorsYetToBeVisited
=
this
.
indexes
.
filter
(
(
i
)
=>
this
.
_isNodeWithoutPredecessors
(
i
)
&&
!
this
.
_isVisited
(
i
)
);
const
candidate1
=
this
.
_lookForNextNodeInCandidates
(
nodesWithoutPredecessorsYetToBeVisited
);
if
(
candidate1
.
priority
===
Graph
.
MAX_PRIORITY
)
{
return
{
front_node
:
null
,
next_node
:
candidate1
.
index
};
}
const
successorsYetToBeVisited
=
this
.
front
.
reduce
((
successors
,
i
)
=>
{
this
.
indexes
.
filter
(
(
j
)
=>
this
.
adjacency_matrix
[
i
][
j
]
&&
!
this
.
_isVisited
(
j
)
)
.
map
((
j
)
=>
successors
.
add
(
j
));
return
successors
;
},
new
Set
<
number
>
());
const
candidate2
=
this
.
_lookForNextNodeInCandidates
(
successorsYetToBeVisited
);
if
(
candidate1
.
priority
<
candidate2
.
priority
)
{
return
{
front_node
:
null
,
next_node
:
candidate1
.
index
};
}
if
(
candidate1
.
priority
===
candidate2
.
priority
)
{
if
(
candidate1
.
mean_priority_of_succcessors
<
candidate2
.
mean_priority_of_succcessors
)
{
return
{
front_node
:
null
,
next_node
:
candidate1
.
index
};
}
}
const
front_node
=
this
.
indexes
.
find
(
(
i
)
=>
this
.
adjacency_matrix
[
i
][
candidate2
.
index
as
number
]
)
||
null
;
return
{
front_node
,
next_node
:
candidate2
.
index
};
}
_lookForNextNodeInCandidates
(
candidates
:
Iterable
<
number
>
)
:
NextNodeCandidate
{
let
next_node
=
null
,
best_priority
=
Infinity
,
current_mean
,
best_mean
=
Infinity
;
for
(
const
candidate
of
candidates
)
{
if
(
this
.
nodes
[
candidate
].
priority
<
best_priority
)
{
best_priority
=
this
.
nodes
[
candidate
].
priority
;
best_mean
=
this
.
_meanPriorityOfSuccessors
(
candidate
);
next_node
=
candidate
;
if
(
this
.
nodes
[
candidate
].
priority
===
Graph
.
MAX_PRIORITY
)
{
break
;
}
}
else
if
(
this
.
nodes
[
candidate
].
priority
===
best_priority
)
{
current_mean
=
this
.
_meanPriorityOfSuccessors
(
candidate
);
if
(
current_mean
<
best_mean
)
{
best_mean
=
current_mean
;
next_node
=
candidate
;
}
}
}
return
{
index
:
next_node
,
priority
:
best_priority
,
mean_priority_of_succcessors
:
best_mean
,
};
}
_meanPriorityOfSuccessors
(
i
:
number
)
{
let
sum
=
0
,
length
=
0
;
for
(
let
j
of
this
.
indexes
)
{
if
(
this
.
adjacency_matrix
[
i
][
j
]
&&
!
this
.
_isVisited
(
j
))
{
sum
+=
this
.
nodes
[
j
].
priority
;
++
length
;
}
}
return
length
>
0
?
sum
/
length
:
0
;
}
}
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