• Supported versions: Latest (3.4) 3.3 3.2 3.1 3.0

• Versiones no soportadas: 2.6 2.5 2.4 2.3 2.2

withPoints - Familia de funciones

Cuando los puntos también se dan como entrada:

Advertencia

Funciones propuestas para la próxima versión mayor.

• No están oficialmente en la versión actual.

• Es probable que oficialmente formen parte del próximo lanzamiento:

  • Las funciones hacen uso de ENTEROS y FLOTANTES

  • Es posible que el nombre no cambie. (Pero todavía puede)

  • Es posible que la firma no cambie. (Pero todavía puede)

  • Es posible que la funcionalidad no cambie. (Pero todavía puede)

  • Se han hecho pruebas con pgTap. Pero tal vez se necesiten más.

  • Es posible que la documentación necesite un refinamiento.

• pgr_withPoints - Proposed - Ruta desde/hacia puntos en cualquier parte del grafo.

• pgr_withPointsCost - Proposed - Costos de las tutas más cortas.

• pgr_withPointsCostMatrix - proposed - Costos de las rutas más cortas.

• pgr_withPointsKSP - Propuesto - rutas más cortas K.

• pgr_withPointsDD - Proposed - Distancia de conducción.

• pgr_withPointsVia - Proposed - Via routing

Introducción

This family of functions belongs to the withPoints- Categoría and the functions that compose them are based one way or another on dijkstra algorithm.

Depending on the name:

• pgr_withPoints is pgr_dijkstra with points

• pgr_withPointsCost is pgr_dijkstraCost with points

• pgr_withPointsCostMatrix is pgr_dijkstraCostMatrix with points

• pgr_withPointsKSP is pgr_ksp with points

• pgr_withPointsDD is pgr_drivingDistance with points

• pgr_withPointsvia is pgr_dijkstraVia with points

Parameters

Column	Type	Description
SQL Aristas	TEXT	Consulta de aristas como se describe a continuación
Points SQL	TEXT	Points SQL as described below
SQL Combinaciones	TEXT	SQL Combinaciones como se describe a abajo
vid de salida	BIGINT	Identifier of the starting vertex of the path. Negative value is for point’s identifier.
vid salidas	ARRAY[BIGINT]	Array of identifiers of starting vertices. Negative values are for point’s identifiers.
vid destino	BIGINT	Identifier of the ending vertex of the path. Negative value is for point’s identifier.
vids destinos	ARRAY[BIGINT]	Array of identifiers of ending vertices. Negative values are for point’s identifiers.

Parámetros opcionales

Column	Type	x Defecto	Description
directed	BOOLEAN	true	Cuando true el gráfo se considera Dirigido Cuando false el gráfo se considera No Dirigido.

With points optional parameters

Parameter	Type	x Defecto	Description
driving_side	CHAR	b	Value in [r, l, b] indicating if the driving side is: r for right driving side. l for left driving side. b for both.
details	BOOLEAN	false	When true the results will include the points that are in the path. When false the results will not include the points that are in the path.

Consultas internas

SQL de aristas

Column	Type	x Defecto	Description
id	ENTEROS		Identificador de la arista.
source	ENTEROS		Identifier of the first end point vertex of the edge.
target	ENTEROS		Identifier of the second end point vertex of the edge.
cost	FLOTANTES		Peso de la arista (source, target)
reverse_cost	FLOTANTES	-1	Peso de la arista (target, source) Cuando negativo: la arista (target, source) no existe, por lo tanto no es parte del grafo.

Where:

ANY-INTEGER:

SMALLINT, INTEGER, BIGINT

ANY-NUMERICAL:

SMALLINT, INTEGER, BIGINT, REAL, FLOAT

Points SQL

Parameter	Type	x Defecto	Description
pid	ENTEROS	value	Identifier of the point. Use with positive value, as internally will be converted to negative value If column is present, it can not be NULL. If column is not present, a sequential negative value will be given automatically.
edge_id	ENTEROS		Identifier of the «closest» edge to the point.
fraction	FLOTANTES		Value in <0,1> that indicates the relative postition from the first end point of the edge.
side	CHAR	b	Value in [b, r, l, NULL] indicating if the point is: In the right r, In the left l, In both sides b, NULL

Where:

ANY-INTEGER:

SMALLINT, INTEGER, BIGINT

ANY-NUMERICAL:

SMALLINT, INTEGER, BIGINT, REAL, FLOAT

SQL Combinaciones

Parameter	Type	Description
source	ENTEROS	Identificador del vértice de salida.
target	ENTEROS	Identificador del vértice de llegada.

Where:

ANY-INTEGER:

SMALLINT, INTEGER, BIGINT

Advanced Documentation

About points

For this section the following city (see Datos Muestra) some interesing points such as restaurant, supermarket, post office, etc. will be used as example.

• The graph is directed

• Red arrows show the (source, target) of the edge on the edge table

• Blue arrows show the (target, source) of the edge on the edge table

• Each point location shows where it is located with relation of the edge (source, target)

  • On the right for points 2 and 4.

  • On the left for points 1, 3 and 5.

  • On both sides for point 6.

The representation on the data base follows the Points SQL description, and for this example:

SELECT pid, edge_id, fraction, side FROM pointsOfInterest;
 pid | edge_id |      fraction      | side
-----+---------+--------------------+------
   1 |       1 |                0.4 | l
   4 |       6 |                0.3 | r
   3 |      12 | 0.6000000000000001 | l
   2 |      15 | 0.3999999999999999 | r
   5 |       5 |                0.8 | l
   6 |       4 |                0.7 | b
(6 rows)

Driving side

In the the folowwing images:

• The squared vertices are the temporary vertices,

• The temporary vertices are added according to the driving side,

• visually showing the differences on how depending on the driving side the data is interpreted.

Lado de conducción derecho

• Point 1 located on edge (6, 5)

• Point 2 located on edge (16, 17)

• Point 3 located on edge (8, 12)

• Point 4 located on edge (1, 3)

• Point 5 located on edge (10, 11)

• Point 6 located on edges (6, 7) and (7, 6)

Lado de conducción izquierdo

• Point 1 located on edge (5, 6)

• Point 2 located on edge (17, 16)

• Point 3 located on edge (8, 12)

• Point 4 located on edge (3, 1)

• Point 5 located on edge (10, 11)

• Point 6 located on edges (6, 7) and (7, 6)

Driving side does not matter

• Like having all points to be considered in both sides b

• Prefered usage on undirected graphs

• On the TRSP - Familia de funciones this option is not valid

• Point 1 located on edge (5, 6) and (6, 5)

• Point 2 located on edge (17, 16)``and ``16, 17

• Point 3 located on edge (8, 12)

• Point 4 located on edge (3, 1) and (1, 3)

• Point 5 located on edge (10, 11)

• Point 6 located on edges (6, 7) and (7, 6)

Creating temporary vertices

This section will demonstrate how a temporary vertex is created internally on the graph.

Problem

For edge:

SELECT id, source, target, cost, reverse_cost
FROM edges WHERE id = 15;
 id | source | target | cost | reverse_cost
----+--------+--------+------+--------------
 15 |     16 |     17 |    1 |            1
(1 row)

insert point:

SELECT pid, edge_id, fraction, side
FROM pointsOfInterest WHERE pid = 2;
 pid | edge_id |      fraction      | side
-----+---------+--------------------+------
   2 |      15 | 0.3999999999999999 | r
(1 row)

En una red de conducción del lado derecho

Lado de conducción derecho

• Arrival to point -2 can be achived only via vertex 16.

• Does not affects edge (17, 16), therefore the edge is kept.

• It only affects the edge (16, 17), therefore the edge is removed.

• Create two new edges:

  • Edge (16, -2) with cost 0.4 (original cost * fraction == \(1 * 0.4\))

  • Edge (-2, 17) with cost 0.6 (the remaing cost)

• The total cost of the additional edges is equal to the original cost.

• If more points are on the same edge, the process is repeated recursevly.

En una red de conducción del lado izquierdo

Lado de conducción izquierdo

• Arrival to point -2 can be achived only via vertex 17.

• Does not affects edge (16, 17), therefore the edge is kept.

• It only affects the edge (17, 16), therefore the edge is removed.

• Create two new edges:

  • Work with the original edge (16, 17) as the fraction is a fraction of the original:

    • Edge (16, -2) with cost 0.4 (original cost * fraction == \(1 * 0.4\))

    • Edge (-2, 17) with cost 0.6 (the remaing cost)

    • If more points are on the same edge, the process is repeated recursevly.

  • Flip the Edges and add them to the graph:

    • Edge (17, -2) becomes (-2, 16) with cost 0.4 and is added to the graph.

    • Edge (-2, 16) becomes (17, -2) with cost 0.6 and is added to the graph.

• The total cost of the additional edges is equal to the original cost.

Cuando el lado de conducción no importa

• Arrival to point -2 can be achived via vertices 16 or 17.

• Affects the edges (16, 17) and (17, 16), therefore the edges are removed.

• Create four new edges:

  • Work with the original edge (16, 17) as the fraction is a fraction of the original:

    • Edge (16, -2) with cost 0.4 (original cost * fraction == \(1 * 0.4\))

    • Edge (-2, 17) with cost 0.6 (the remaing cost)

    • If more points are on the same edge, the process is repeated recursevly.

  • Flip the Edges and add all the edges to the graph:

    • Edge (16, -2) is added to the graph.

    • Edge (-2, 17) is added to the graph.

    • Edge (16, -2) becomes (-2, 16) with cost 0.4 and is added to the graph.

    • Edge (-2, 17) becomes (17, -2) with cost 0.6 and is added to the graph.

Ver también

• withPoints- Categoría

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