Detailed Description

C implementation of Dijkstra's algorithm.

Author: Thorsten Koch; Marc Pfetsch

Definition in file dijkstra.c.

#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include "dijkstra.h"

Functions
DIJKSTRA_Bool	dijkstraGraphIsValid (const DIJKSTRA_GRAPH *G)

static DIJKSTRA_Bool	dijkstraHeapIsValid (const unsigned int entry, const unsigned long long value, const unsigned int *order, const unsigned int used, const unsigned int size)

static void	dijkstraSiftDown (unsigned int entry, const unsigned long long value, unsigned int *order, unsigned int used, unsigned int current)

static void	dijkstraSiftUp (unsigned int entry, const unsigned long long value, unsigned int *order, unsigned int current)

unsigned int	dijkstra (const DIJKSTRA_GRAPH G, unsigned int source, unsigned long long dist, unsigned int pred, unsigned int entry, unsigned int *order)

unsigned int	dijkstraPair (const DIJKSTRA_GRAPH G, unsigned int source, unsigned int target, unsigned long long dist, unsigned int pred, unsigned int entry, unsigned int *order)

unsigned int	dijkstraPairCutoff (const DIJKSTRA_GRAPH G, unsigned int source, unsigned int target, unsigned long long cutoff, unsigned long long dist, unsigned int pred, unsigned int entry, unsigned int *order)

unsigned int	dijkstraPairCutoffIgnore (const DIJKSTRA_GRAPH G, unsigned int source, unsigned int target, unsigned int ignore, unsigned long long cutoff, unsigned long long dist, unsigned int pred, unsigned int entry, unsigned int order)

Function Documentation

◆ dijkstraGraphIsValid()

DIJKSTRA_Bool dijkstraGraphIsValid ( const DIJKSTRA_GRAPH * G )

Check whether the data structures of the graph are valid.

Parameters

G	directed graph to be checked

Definition at line 42 of file dijkstra.c.

References DIJKSTRA_Graph::arcs, DIJKSTRA_UNUSED, DIJKSTRA_Graph::head, DIJKSTRA_Graph::maxweight, DIJKSTRA_Graph::minweight, DIJKSTRA_Graph::nodes, NULL, DIJKSTRA_Graph::outbeg, DIJKSTRA_Graph::outcnt, TRUE, and DIJKSTRA_Graph::weight.

Referenced by dijkstra(), dijkstraPair(), dijkstraPairCutoff(), dijkstraPairCutoffIgnore(), and separateGLS().

◆ dijkstraHeapIsValid()

static DIJKSTRA_Bool dijkstraHeapIsValid	(	const unsigned int *	entry,
		const unsigned long long *	value,
		const unsigned int *	order,
		const unsigned int	used,
		const unsigned int	size
	)

static

Check whether heap is valid.

Note: Sift up/down do not use order, only for the last the changed one is entered.

Parameters

entry	entries of heap
value	values in heap
order	order of entries
used	number of used entries
size	size of entry array

Definition at line 83 of file dijkstra.c.

References FALSE, NULL, and TRUE.

Referenced by dijkstra(), dijkstraPair(), dijkstraPairCutoff(), and dijkstraPairCutoffIgnore().

◆ dijkstraSiftDown()

static void dijkstraSiftDown	(	unsigned int *	entry,
		const unsigned long long *	value,
		unsigned int *	order,
		unsigned int	used,
		unsigned int	current
	)

static

Moves an entry down in the vector until the sorting is valid again.

Parameters

entry	entries of heap
value	values in heap
order	order of entries
used	number of used entries
current	current entry to be sifted

Definition at line 112 of file dijkstra.c.

Referenced by dijkstra(), dijkstraPair(), dijkstraPairCutoff(), and dijkstraPairCutoffIgnore().

◆ dijkstraSiftUp()

static void dijkstraSiftUp	(	unsigned int *	entry,
		const unsigned long long *	value,
		unsigned int *	order,
		unsigned int	current
	)

static

Moves an entry up in the vector until the sorting is valid again.

Parameters

entry	entries of heap
value	values in heap
order	order of entries
current	current entry to be sifted

Definition at line 157 of file dijkstra.c.

Referenced by dijkstra(), dijkstraPair(), dijkstraPairCutoff(), and dijkstraPairCutoffIgnore().

◆ dijkstra()

unsigned int dijkstra	(	const DIJKSTRA_GRAPH *	G,
		unsigned int	source,
		unsigned long long *	dist,
		unsigned int *	pred,
		unsigned int *	entry,
		unsigned int *	order
	)

Dijkstra's algorithm for shortest paths from a single source using binary heaps

Parameters

G	directed graph
source	source node
dist	node distances (allocated by user)
pred	node predecessors in final shortest path tree (allocated by user)
entry	temporary storage (for each node - must be allocated by user)
order	temporary storage (for each node - must be allocated by user)

Definition at line 190 of file dijkstra.c.

References DIJKSTRA_FARAWAY, DIJKSTRA_UNUSED, dijkstraGraphIsValid(), dijkstraHeapIsValid(), dijkstraSiftDown(), dijkstraSiftUp(), DIJKSTRA_Graph::head, DIJKSTRA_Graph::nodes, NULL, DIJKSTRA_Graph::outbeg, and DIJKSTRA_Graph::weight.

◆ dijkstraPair()

unsigned int dijkstraPair	(	const DIJKSTRA_GRAPH *	G,
		unsigned int	source,
		unsigned int	target,
		unsigned long long *	dist,
		unsigned int *	pred,
		unsigned int *	entry,
		unsigned int *	order
	)

Dijkstra's algorithm for shortest paths between a pair of nodes using binary heaps

Parameters

G	directed graph
source	source node
target	target node
dist	node distances (allocated by user)
pred	node predecessors in final shortest path tree (allocated by user)
entry	temporary storage (for each node - must be allocated by user)
order	temporary storage (for each node - must be allocated by user)

Definition at line 290 of file dijkstra.c.

References DIJKSTRA_FARAWAY, DIJKSTRA_UNUSED, dijkstraGraphIsValid(), dijkstraHeapIsValid(), dijkstraSiftDown(), dijkstraSiftUp(), DIJKSTRA_Graph::head, DIJKSTRA_Graph::nodes, NULL, DIJKSTRA_Graph::outbeg, and DIJKSTRA_Graph::weight.

◆ dijkstraPairCutoff()

unsigned int dijkstraPairCutoff	(	const DIJKSTRA_GRAPH *	G,
		unsigned int	source,
		unsigned int	target,
		unsigned long long	cutoff,
		unsigned long long *	dist,
		unsigned int *	pred,
		unsigned int *	entry,
		unsigned int *	order
	)

Dijkstra's algorithm for shortest paths between a pair of nodes using binary heaps and truncated at cutoff

Parameters

G	directed graph
source	source node
target	target node
cutoff	if the distance of a node reached this value, we truncate the search
dist	node distances (allocated by user)
pred	node predecessors in final shortest path tree (allocated by user)
entry	temporary storage (for each node - must be allocated by user)
order	temporary storage (for each node - must be allocated by user)

Definition at line 396 of file dijkstra.c.

References DIJKSTRA_FARAWAY, DIJKSTRA_UNUSED, dijkstraGraphIsValid(), dijkstraHeapIsValid(), dijkstraSiftDown(), dijkstraSiftUp(), DIJKSTRA_Graph::head, DIJKSTRA_Graph::nodes, NULL, DIJKSTRA_Graph::outbeg, and DIJKSTRA_Graph::weight.

Referenced by separateGLS().

◆ dijkstraPairCutoffIgnore()

unsigned int dijkstraPairCutoffIgnore	(	const DIJKSTRA_GRAPH *	G,
		unsigned int	source,
		unsigned int	target,
		unsigned int *	ignore,
		unsigned long long	cutoff,
		unsigned long long *	dist,
		unsigned int *	pred,
		unsigned int *	entry,
		unsigned int *	order
	)

Dijkstra's algorithm for shortest paths between a pair of nodes ignoring nodes, using binary heaps, and truncated at cutoff

Parameters

G	directed graph
source	source node
target	target node
ignore	marking nodes to be ignored (if value is nonzero)
cutoff	if the distance of a node reached this value, we truncate the search
dist	node distances (allocated by user)
pred	node predecessors in final shortest path tree (allocated by user)
entry	temporary storage (for each node - must be allocated by user)
order	temporary storage (for each node - must be allocated by user)

Definition at line 507 of file dijkstra.c.

References DIJKSTRA_FARAWAY, DIJKSTRA_UNUSED, dijkstraGraphIsValid(), dijkstraHeapIsValid(), dijkstraSiftDown(), dijkstraSiftUp(), DIJKSTRA_Graph::head, DIJKSTRA_Graph::nodes, NULL, DIJKSTRA_Graph::outbeg, and DIJKSTRA_Graph::weight.

Referenced by separateGLS().

SCIP

Detailed Description

Functions

Function Documentation

◆ dijkstraGraphIsValid()

◆ dijkstraHeapIsValid()

◆ dijkstraSiftDown()

◆ dijkstraSiftUp()

◆ dijkstra()

◆ dijkstraPair()

◆ dijkstraPairCutoff()

◆ dijkstraPairCutoffIgnore()