pgr_withPoints
 Returns the shortest path in a graph with additional temporary vertices.
Warning
These are proposed functions for next mayor release.
Availability: 2.2.0
Modify the graph to include points defined by points_sql. Using Dijkstra algorithm, find the shortest path(s)
The main Characteristics are:
 Process is done only on edges with positive costs.
 Vertices of the graph are:
 positive when it belongs to the edges_sql
 negative when it belongs to the points_sql
 Values are returned when there is a path.
 When the starting vertex and ending vertex are the same, there is no path.
 The agg_cost the non included values (v, v) is 0
 When the starting vertex and ending vertex are the different and there is no path:
 The agg_cost the non included values (u, v) is ∞
 For optimization purposes, any duplicated value in the start_vids or end_vids are ignored.
 The returned values are ordered:
 start_vid ascending
 end_vid ascending
 Running time: \(O(start\_vids∗(V \log V + E))\)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vid)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vid, directed, driving_side, details)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vids, directed, driving_side, details)
pgr_withPoints(edges_sql, points_sql, start_vids, end_vid, directed, driving_side, details)
pgr_withPoints(edges_sql, points_sql, start_vids, end_vids, directed, driving_side, details)
RETURNS SET OF (seq, path_seq, [start_vid,] [end_vid,] node, edge, cost, agg_cost)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vid)
RETURNS SET OF (seq, path_seq, node, edge, cost, agg_cost)
Example:  From point 1 to point 3 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
1, 3);
seq  path_seq  node  edge  cost  agg_cost
+++++
1  1  1  1  0.6  0
2  2  2  4  1  0.6
3  3  5  10  1  1.6
4  4  10  12  0.6  2.6
5  5  3  1  0  3.2
(5 rows)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vid,
directed:=true, driving_side:='b', details:=false)
RETURNS SET OF (seq, path_seq, node, edge, cost, agg_cost)
Example:  From point 1 to vertex 3 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
1, 3,
details := true);
seq  path_seq  node  edge  cost  agg_cost
+++++
1  1  1  1  0.6  0
2  2  2  4  0.7  0.6
3  3  6  4  0.3  1.3
4  4  5  8  1  1.6
5  5  6  9  1  2.6
6  6  9  16  1  3.6
7  7  4  3  1  4.6
8  8  3  1  0  5.6
(8 rows)
pgr_withPoints(edges_sql, points_sql, start_vid, end_vids,
directed:=true, driving_side:='b', details:=false)
RETURNS SET OF (seq, path_seq, end_vid, node, edge, cost, agg_cost)
Example:  From point 1 to point 3 and vertex 5 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
1, ARRAY[3,5]);
seq  path_seq  end_pid  node  edge  cost  agg_cost
++++++
1  1  3  1  1  0.6  0
2  2  3  2  4  1  0.6
3  3  3  5  10  1  1.6
4  4  3  10  12  0.6  2.6
5  5  3  3  1  0  3.2
6  1  5  1  1  0.6  0
7  2  5  2  4  1  0.6
8  3  5  5  1  0  1.6
(8 rows)
pgr_withPoints(edges_sql, points_sql, start_vids, end_vid,
directed:=true, driving_side:='b', details:=false)
RETURNS SET OF (seq, path_seq, start_vid, node, edge, cost, agg_cost)
Example:  From point 1 and vertex 2 to point 3 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
ARRAY[1,2], 3);
seq  path_seq  start_pid  node  edge  cost  agg_cost
++++++
1  1  1  1  1  0.6  0
2  2  1  2  4  1  0.6
3  3  1  5  10  1  1.6
4  4  1  10  12  0.6  2.6
5  5  1  3  1  0  3.2
6  1  2  2  4  1  0
7  2  2  5  10  1  1
8  3  2  10  12  0.6  2
9  4  2  3  1  0  2.6
(9 rows)
pgr_withPoints(edges_sql, points_sql, start_vids, end_vids,
directed:=true, driving_side:='b', details:=false)
RETURNS SET OF (seq, path_seq, start_vid, end_vid, node, edge, cost, agg_cost)
Example:  From point 1 and vertex 2 to point 3 and vertex 7 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
ARRAY[1,2], ARRAY[3,7]);
seq  path_seq  start_pid  end_pid  node  edge  cost  agg_cost
+++++++
1  1  1  3  1  1  0.6  0
2  2  1  3  2  4  1  0.6
3  3  1  3  5  10  1  1.6
4  4  1  3  10  12  0.6  2.6
5  5  1  3  3  1  0  3.2
6  1  1  7  1  1  0.6  0
7  2  1  7  2  4  1  0.6
8  3  1  7  5  7  1  1.6
9  4  1  7  8  6  1  2.6
10  5  1  7  7  1  0  3.6
11  1  2  3  2  4  1  0
12  2  2  3  5  10  1  1
13  3  2  3  10  12  0.6  2
14  4  2  3  3  1  0  2.6
15  1  2  7  2  4  1  0
16  2  2  7  5  7  1  1
17  3  2  7  8  6  1  2
18  4  2  7  7  1  0  3
(18 rows)
edges_sql:  an SQL query, which should return a set of rows with the following columns: 

Column  Type  Default  Description 

id  ANYINTEGER 
Identifier of the edge.  
source  ANYINTEGER 
Identifier of the first end point vertex of the edge.  
target  ANYINTEGER 
Identifier of the second end point vertex of the edge.  
cost  ANYNUMERICAL 
Weight of the edge (source, target)


reverse_cost  ANYNUMERICAL 
1  Weight of the edge (target, source),

Where:
ANYINTEGER:  SMALLINT, INTEGER, BIGINT 

ANYNUMERICAL:  SMALLINT, INTEGER, BIGINT, REAL, FLOAT 
points_sql:  an SQL query, which should return a set of rows with the following columns: 

Column  Type  Description 

pid  ANYINTEGER 
(optional) Identifier of the point.

edge_id  ANYINTEGER 
Identifier of the “closest” edge to the point. 
fraction  ANYNUMERICAL 
Value in <0,1> that indicates the relative postition from the first end point of the edge. 
side  CHAR 
(optional) Value in [‘b’, ‘r’, ‘l’, NULL] indicating if the point is:

Where:
ANYINTEGER:  smallint, int, bigint 

ANYNUMERICAL:  smallint, int, bigint, real, float 
Parameter  Type  Description 

edges_sql  TEXT 
Edges SQL query as described above. 
points_sql  TEXT 
Points SQL query as described above. 
start_vid  ANYINTEGER 
Starting vertex identifier. When negative: is a point’s pid. 
end_vid  ANYINTEGER 
Ending vertex identifier. When negative: is a point’s pid. 
start_vids  ARRAY[ANYINTEGER] 
Array of identifiers of starting vertices. When negative: is a point’s pid. 
end_vids  ARRAY[ANYINTEGER] 
Array of identifiers of ending vertices. When negative: is a point’s pid. 
directed  BOOLEAN 
(optional). When false the graph is considered as Undirected. Default is true which considers the graph as Directed. 
driving_side  CHAR 

details  BOOLEAN 
(optional). When true the results will include the points in points_sql that are in the path.
Default is false which ignores other points of the points_sql. 
Returns set of (seq, [path_seq,] [start_vid,] [end_vid,] node, edge, cost, agg_cost)
Column  Type  Description 

seq  INTEGER 
Row sequence. 
path_seq  INTEGER 
Path sequence that indicates the relative position on the path. 
start_vid  BIGINT 
Identifier of the starting vertex. When negative: is a point’s pid. 
end_vid  BIGINT 
Identifier of the ending vertex. When negative: is a point’s pid. 
node  BIGINT 

edge  BIGINT 

cost  FLOAT 

agg_cost  FLOAT 

Example:  Which path (if any) passes in front of point 6 or vertex 6 with right side driving topology. 

SELECT ('('  start_pid  ' => '  end_pid ') at '  path_seq  'th step:')::TEXT AS path_at,
CASE WHEN edge = 1 THEN ' visits'
ELSE ' passes in front of'
END as status,
CASE WHEN node < 0 THEN 'Point'
ELSE 'Vertex'
END as is_a,
abs(node) as id
FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
ARRAY[1,1], ARRAY[2,3,6,3,6],
driving_side := 'r',
details := true)
WHERE node IN (6,6);
path_at  status  is_a  id
+++
(1 => 6) at 4th step:  visits  Point  6
(1 => 3) at 4th step:  passes in front of  Point  6
(1 => 2) at 4th step:  passes in front of  Point  6
(1 => 2) at 6th step:  passes in front of  Vertex  6
(1 => 3) at 4th step:  passes in front of  Point  6
(1 => 3) at 6th step:  passes in front of  Vertex  6
(1 => 6) at 4th step:  passes in front of  Point  6
(1 => 6) at 6th step:  visits  Vertex  6
(1 => 6) at 3th step:  visits  Point  6
(1 => 3) at 3th step:  passes in front of  Point  6
(1 => 2) at 3th step:  passes in front of  Point  6
(1 => 2) at 5th step:  passes in front of  Vertex  6
(1 => 3) at 3th step:  passes in front of  Point  6
(1 => 3) at 5th step:  passes in front of  Vertex  6
(1 => 6) at 3th step:  passes in front of  Point  6
(1 => 6) at 5th step:  visits  Vertex  6
(16 rows)
Example:  Which path (if any) passes in front of point 6 or vertex 6 with left side driving topology. 

SELECT ('('  start_pid  ' => '  end_pid ') at '  path_seq  'th step:')::TEXT AS path_at,
CASE WHEN edge = 1 THEN ' visits'
ELSE ' passes in front of'
END as status,
CASE WHEN node < 0 THEN 'Point'
ELSE 'Vertex'
END as is_a,
abs(node) as id
FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
ARRAY[1,1], ARRAY[2,3,6,3,6],
driving_side := 'l',
details := true)
WHERE node IN (6,6);
path_at  status  is_a  id
+++
(1 => 6) at 3th step:  visits  Point  6
(1 => 3) at 3th step:  passes in front of  Point  6
(1 => 2) at 3th step:  passes in front of  Point  6
(1 => 2) at 5th step:  passes in front of  Vertex  6
(1 => 3) at 3th step:  passes in front of  Point  6
(1 => 3) at 5th step:  passes in front of  Vertex  6
(1 => 6) at 3th step:  passes in front of  Point  6
(1 => 6) at 5th step:  visits  Vertex  6
(1 => 6) at 4th step:  visits  Point  6
(1 => 3) at 4th step:  passes in front of  Point  6
(1 => 2) at 4th step:  passes in front of  Point  6
(1 => 2) at 6th step:  passes in front of  Vertex  6
(1 => 3) at 4th step:  passes in front of  Point  6
(1 => 3) at 6th step:  passes in front of  Vertex  6
(1 => 6) at 4th step:  passes in front of  Point  6
(1 => 6) at 6th step:  visits  Vertex  6
(16 rows)
Example:  Many to many example with a twist: on undirected graph and showing details. 

SELECT * FROM pgr_withPoints(
'SELECT id, source, target, cost, reverse_cost FROM edge_table ORDER BY id',
'SELECT pid, edge_id, fraction, side from pointsOfInterest',
ARRAY[1,2], ARRAY[3,7],
directed := false,
details := true);
seq  path_seq  start_pid  end_pid  node  edge  cost  agg_cost
+++++++
1  1  1  3  1  1  0.6  0
2  2  1  3  2  4  0.7  0.6
3  3  1  3  6  4  0.3  1.3
4  4  1  3  5  10  1  1.6
5  5  1  3  10  12  0.6  2.6
6  6  1  3  3  1  0  3.2
7  1  1  7  1  1  0.6  0
8  2  1  7  2  4  0.7  0.6
9  3  1  7  6  4  0.3  1.3
10  4  1  7  5  7  1  1.6
11  5  1  7  8  6  0.7  2.6
12  6  1  7  4  6  0.3  3.3
13  7  1  7  7  1  0  3.6
14  1  2  3  2  4  0.7  0
15  2  2  3  6  4  0.3  0.7
16  3  2  3  5  10  1  1
17  4  2  3  10  12  0.6  2
18  5  2  3  3  1  0  2.6
19  1  2  7  2  4  0.7  0
20  2  2  7  6  4  0.3  0.7
21  3  2  7  5  7  1  1
22  4  2  7  8  6  0.7  2
23  5  2  7  4  6  0.3  2.7
24  6  2  7  7  1  0  3
(24 rows)
The queries use the Sample Data network.
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