Created
March 12, 2009 10:08
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#include <limits.h> | |
#include <stdio.h> | |
#include <stdlib.h> | |
/* Let INFINITY be an integer value not likely to be | |
confused with a real weight, even a negative one. */ | |
#define INFINITY ((1 << 14)-1) | |
typedef struct { | |
int source; | |
int dest; | |
int weight; | |
} Edge; | |
void BellmanFord(Edge edges[], int edgecount, int nodecount, int source) | |
{ | |
int *distance = malloc(nodecount * sizeof *distance); | |
int i, j; | |
if (distance == NULL) { | |
fprintf(stderr, "malloc() failed\n"); | |
exit(EXIT_FAILURE); | |
} | |
for (i=0; i < nodecount; ++i) | |
distance[i] = INFINITY; | |
distance[source] = 0; | |
for (i=0; i < nodecount; ++i) { | |
for (j=0; j < edgecount; ++j) { | |
if (distance[edges[j].source] != INFINITY) { | |
int new_distance = distance[edges[j].source] + edges[j].weight; | |
if (new_distance < distance[edges[j].dest]) | |
distance[edges[j].dest] = new_distance; | |
} | |
} | |
} | |
for (i=0; i < edgecount; ++i) { | |
if (distance[edges[i].dest] > distance[edges[i].source] + edges[i].weight) { | |
puts("Negative edge weight cycles detected!"); | |
free(distance); | |
return; | |
} | |
} | |
for (i=0; i < nodecount; ++i) { | |
printf("The shortest distance between nodes %d and %d is %d\n", | |
source, i, distance[i]); | |
} | |
free(distance); | |
return; | |
} | |
int main(void) | |
{ | |
/* This test case should produce the distances 2, 4, 7, -2, and 0. */ | |
Edge edges[10] = {{0,1, 5}, {0,2, 8}, {0,3, -4}, {1,0, -2}, | |
{2,1, -3}, {2,3, 9}, {3,1, 7}, {3,4, 2}, | |
{4,0, 6}, {4,2, 7}}; | |
BellmanFord(edges, 10, 5, 4); | |
return 0; | |
} |
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