#include<stdio.h>
#include<stdlib.h>
#define BOOL int
#define TRUE 1
#define FALSE 0
#define T int
#define SIZE 6
#define MAXNUMBER 99
typedef struct graph {
int NoEdge;
int Vertices;
int** A;
}Graph;
void CreateGraph(Graph* g, int n, int noedge) {
int i, j;
g->NoEdge = noedge;
g->Vertices = n;
g->A = (int**)malloc(n * sizeof(int*));
for (i = 0; i < n; i++) {
g->A[i] = (int*)malloc(n * sizeof(int));
for (j = 0; j < n; j++) {
g->A[i][j] = noedge;
}
g->A[i][i] = 0;
}
}
void Add(Graph* g, int u, int v, int w) {
if (u < 0 || v < 0 || u > g->Vertices - 1 || v>g->Vertices - 1 || u == v || g->A[u][v] != g->NoEdge) {
printf("BadInput\n");
}
else {
g->A[u][v] = w;
}
}
int ChooseMin(T d[], int n, BOOL s[], T MaxNumber) {
int i, minpos ;
T min=MaxNumber;
for ( i = 0; i < n; i++)
{
if (d[i]<=min&& !s[i])
{
min = d[i];
minpos = i;
}
}
return minpos;
}
void Dijkstra(Graph *g, int v ) {
int i, u, w, n = g->Vertices;
T d[SIZE] = { 0 };
T path[SIZE] = { 0 };
BOOL s[SIZE] = {FALSE};
if (v<0|| v> n-1)
{
printf("输错了\n");
return;
}
for ( i = 0; i < n; i++)
{
s[i] = FALSE;
d[i] = g->A[v][i];
if (i!=v && d[i]<g->NoEdge)
{
path[i] = v;
}
else {
path[i] = -1;
}
}
s[v] = TRUE; d[v] = 0;
for ( i = 1; i <= n-1; i++)
{
u = ChooseMin(d, n, s, g->NoEdge);
s[u] = TRUE;
for (w = 0; w < n; w++)
{
if (!s[w] && d[u]+g->A[u][w]<d[w])
{
d[w] = d[u] + g->A[u][w];
path[w] = u;
}
}
}
for ( i = 0; i < n; i++)
{
printf("%d ", s[i]);
}
printf("\n");
for (i = 0; i < n; i++)
{
printf("%d ", d[i]);
}
printf("\n");
for (i = 0; i < n; i++)
{
printf("%d ", path[i]);
}
printf("\n");
}
void Delete(Graph* g, int u, int v) {
if (u < 0 || v < 0 || u > g->Vertices - 1 || v>g->Vertices - 1 || u == v || g->A[u][v] == g->NoEdge) {
printf("BadInput\n");
}
else {
g->A[u][v] = g->NoEdge;
printf("Delete Successfully\n");
}
}
void Exist(Graph* g, int u, int v) {
if (u < 0 || v < 0 || u > g->Vertices - 1 || v>g->Vertices - 1 || u == v || g->A[u][v] == g->NoEdge) {
printf("No Existance\n");
}
else {
printf("Element Exists!\n");
}
}
void PrintMatrix(Graph* g) {
int i, j;
for (i = 0; i < g->Vertices; i++) {
for (j = 0; j < g->Vertices; j++) {
printf("%-4d", g->A[i][j]);
}
printf("\n");
}
printf("***************\n");
}
void main() {
Graph* g;
g = (Graph*)malloc(sizeof(Graph));
CreateGraph(g, SIZE, MAXNUMBER); //在这里网的noedge统一为99,可以看出这是创建了一个网
PrintMatrix(g);
Add(g, 0, 1, 50);
Add(g, 0, 2, 10);
Add(g, 0, 4, 70);
Add(g, 1, 2, 15);
Add(g, 1, 4, 10);
Add(g, 2, 0, 20);
Add(g, 2, 3, 15);
Add(g, 3, 1, 20);
Add(g, 3, 4, 35);
Add(g, 4, 3, 30);
Add(g, 5, 3, 3);
PrintMatrix(g);
Dijkstra(g, 0);
}
0 99 99 99 99 99
99 0 99 99 99 99
99 99 0 99 99 99
99 99 99 0 99 99
99 99 99 99 0 99
99 99 99 99 99 0
0 50 10 99 70 99
99 0 15 99 10 99
20 99 0 15 99 99
99 20 99 0 35 99
99 99 99 30 0 99
99 99 99 3 99 0
1 1 1 1 1 1
0 45 10 25 55 99
-1 3 0 2 1 -1