Shortest Path Dijkstra
[日本語]
The shortest_path function has the following declaration:
CREATE OR REPLACE FUNCTION shortest_path(sql text, source_id integer, target_id integer, directed boolean, has_reverse_cost boolean) RETURNS SETOF path_result
arguments are:
sql: a SQL query, which should return a set of rows with the following columns:
SELECT id, source, target, cost FROM edge_table
- id: an int4 identifier of the edge
- source: an int4 identifier of the source vertex
- target: an int4 identifier of the target vertex
- cost: an float8 value, of the edge traversal cost. (a negative cost will prevent the edge from being inserted in the graph).
- reverse_cost (optional): the cost for the reverse traversal of the edge. This is only used when the directed and has_reverse_cost parameters are true (see the above remark about negative costs).
source_id: int4 id of the start point
directed: true if the graph is directed
has_reverse_cost: if true, the reverse_cost column of the SQL generated set of rows will be used for the cost of the traversal of the edge in the opposite direction.
The function returns a set of rows. There is one row for each crossed edge, and an additional one containing the terminal vertex. The columns of each row are:
- vertex_id: the identifier of source vertex of each edge. There is one more row after the last edge, which contains the vertex identifier of the target path.
- edge_id: the identifier of the edge crossed
- cost: The cost associated to the current edge. It is 0 for the row after the last edge. Thus, the path total cost can be computated using a sum of all rows in the cost column.
Example:
SELECT * FROM shortest_path('SELECT gid AS id, source::int4, target::int4, length::double precision AS cost, FROM dourol',3, 7, false, false);
vertex_id | edge_id | cost -----------+---------+------------------------ 3 | 2 | 0.000763954363701041 4 | 21 | 0.00150254971056274 6 | 5 | 0.000417442425988342 7 | -1 | 0 (4 rows)
SELECT * FROM shortest_path('SELECT gid AS id, source::int4, target::int4, length::double precision AS cost,length::double precision AS reverse_cost FROM dourol', 3, 7, true, true);