C++

The C language implements the Floyd algorithm


In this paper, the example of C language for you to share the Floyd algorithm implementation of the specific code, for your reference, the specific content is as follows

#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#define NUM 4

typedef struct MGraph  /*  The adjacency list stores the structure  */
{
  int edges[NUM][NUM];
  int n,e;
} MGraph;

MGraph *build_mgraph();
void Floyd(MGraph *mgraph);
void Ppath(int path[][NUM], int i, int j);
void Dispath(int A[][NUM], int path[][NUM], int n);

int main(void)
{
  MGraph *mgraph;

  printf("\n*************************************************************\n");
  printf(" The matrix of the figure is represented as :\n");
  mgraph=build_mgraph();
  printf("\n*************************************************************\n");
  printf(" The shortest path between each vertex is :\n");
  Floyd(mgraph);
  printf("\n*************************************************************\n");

  return 0;
}

MGraph *build_mgraph()
{
  int i,j;
  int num_e=0;
  MGraph *mgraph=(MGraph *)malloc(sizeof(MGraph));
  int matrix[NUM][NUM]={{0,5,INT_MAX,7},
    {INT_MAX,0,4,2},
    {3,3,0,2},
    {INT_MAX,INT_MAX,1,0}};
  for(i=0;i<NUM;i++)
  {
  for(j=0;j<NUM;j++)
  {
   mgraph->edges[i][j]=matrix[i][j];
   if(matrix[i][j]!=0 && matrix[i][j]!=INT_MAX)
   num_e++;
  }
  }
  mgraph->n=NUM;
  mgraph->e=num_e;

  printf("node=%d;edges=%d\n",mgraph->n,mgraph->e);
  for(i=0;i<NUM;i++)
  {
  for(j=0;j<NUM;j++)
  {
   if(mgraph->edges[i][j]!=INT_MAX)
   printf("%3d",mgraph->edges[i][j]);
   else
   printf("%3c",'&');
  }
  printf("\n");
  }

  return mgraph;
}

void Floyd(MGraph *mgraph)
{
  int A[NUM][NUM],path[NUM][NUM];
  int i,j,k;

  for(i=0;i<mgraph->n;i++)
  {
  for(j=0;j<mgraph->n;j++)
  {
   A[i][j]=mgraph->edges[i][j];
   path[i][j]=-1;
  }
  }

  for(k=0;k<mgraph->n;k++)
  {
  for(i=0;i<mgraph->n;i++)
  {
   for(j=0;j<mgraph->n;j++)
   {
   if(A[i][k]!=INT_MAX && A[k][j]!=INT_MAX && A[i][j]>A[i][k]+A[k][j])
   {
    A[i][j]=A[i][k]+A[k][j];
    path[i][j]=k;
   }
   }
  }
  }

  Dispath(A,path,mgraph->n);
}

void Ppath(int path[][NUM], int i, int j)
{
  int k;

  k=path[i][j];
  if(k==-1)
  return;
  Ppath(path,i,k);
  printf("%d,",k);
  Ppath(path,k,j);
}
void Dispath(int A[][NUM], int path[][NUM], int n)
{
  int i,j;
  for(i=0;i<n;i++)
  {
  for(j=0;j<n;j++)
  {
   if(A[i][j]==INT_MAX)
   printf("%d-%d have no path",i,j);
   printf("%d-%d-%d: ",i,j,A[i][j]);
   printf("%d,",i);
   Ppath(path,i,j);
   printf("%d\n",j);
  }
  }
}