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functions.c
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functions.c
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#include "functions.h"
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
//////////////////////////////////Merge Sort
void interclasare(int *x,int *v, int sx, int fx, int sy, int fy)
{
int t;
int i = sx, j = sy, k = 0;
while (i <= fx && j <= fy)
{
if (x[i] <= x[j])
{
v[++k] = x[i];
++i;
}
else
{
v[++k] = x[j];
++j;
}
}
if (i>fx)
for (t = j;t <= fy;++t)
v[++k] = x[t];
if (j>fy)
for (t = i;t <= fx;++t)
v[++k] = x[t];
for (i = 1;i <= k;i++)
x[sx + i - 1] = v[i];
}
void mergesort(int *x,int *v, int s, int f)
{
if (s != f)
{
mergesort(x,v, s, (s + f) / 2);
mergesort(x,v, (s + f) / 2 + 1, f);
interclasare(x,v, s, (s + f) / 2, (s + f) / 2 + 1, f);
}
}
void print(int *a, int n)
{
int i;
for (i = 1; i < n; ++i)
{
printf("%d ", a[i]);
}
printf("\n");
}
//Heap sort
typedef struct node {
int data;
struct node *l;
struct node *r;
} node_heap;
void initialise_heap(node_heap **root, int data)
{
*root = (node_heap*)malloc(sizeof(node_heap));
(*root)->data = data;
(*root)->l = NULL;
(*root)->r = NULL;
}
void add_to_heap(node_heap *root, int data)
{
if (data < root->data)
{
if (root->l == NULL)
{
node_heap *temp_node_heap = (node_heap*)malloc(sizeof(node_heap));
temp_node_heap->data = data;
temp_node_heap->l = 0;
temp_node_heap->r = 0;
root->l = temp_node_heap;
}
else
add_to_heap(root->l, data);
}
else
{
if (root->r == NULL)
{
node_heap *temp_node_heap = (node_heap*)malloc(sizeof(node_heap));
temp_node_heap->data = data;
temp_node_heap->l = 0;
temp_node_heap->r = 0;
root->r = temp_node_heap;
}
else
add_to_heap(root->r, data);
}
}
void heap_sort(node_heap *root, int *vec, int *size)
{
if (root->l != 0)
heap_sort(root->l, vec, size);
*size = *size + 1;
vec[*size] = root->data;
if (root->r != 0)
heap_sort(root->r, vec, size);
}
//////////////////////////////////DFS
//////////////////////////////////Matrix Implementation
void DFS(int);
int G[10][10],visited[10],n;
void DFS(int i)
{
int j;
printf("\n%d",i);
visited[i]=1;
for(j=0;j<n;j++)
if(!visited[j]&&G[i][j]==1)
DFS(j);
}
/*8
0 1 1 1 1 0 0 0
1 0 0 0 0 1 0 0
1 0 0 0 0 1 0 0
1 0 0 0 0 0 1 0
1 0 0 0 0 0 1 0
0 1 1 0 0 0 0 1
0 0 0 1 1 0 0 1
0 0 0 0 0 1 1 0 */
//////////////////////////////////List Implementation
typedef struct node
{
struct node *next;
int vertex;
}node;
node *G[20];
int visited[20];
void DFS2(int i)
{
node *p;
printf("\n%d",i);
p=G[i];
visited[i]=1;
while(p!=NULL)
{
i=p->vertex;
if(!visited[i])
DFS2(i);
p=p->next;
}
}
void read_graph()
{
int i,vi,vj,no_of_edges;
FILE *fp;
fp = fopen("filedfs" ,"r");
//printf("Enter number of vertices:");
fscanf(fp,"%d",&n);
printf("%d", n);
for(i=0;i<n;i++)
{
G[i]=NULL;
//printf("Enter number of edges:");
fscanf(fp,"%d",&no_of_edges);
for(i=0;i<no_of_edges;i++)
{
//printf("Enter an edge(u,v):");
fscanf(fp,"%d %d",&vi,&vj);
insert(vi,vj);
}
}
}
void insert(int vi,int vj)
{
node *p,*q;
q=(node*)malloc(sizeof(node));
q->vertex=vj;
q->next=NULL;
if(G[vi]==NULL)
G[vi]=q;
else
{
p=G[vi];
while(p->next!=NULL)
p=p->next;
p->next=q;
}
}
//////////////////////////////////BFS
#define MAX 100
#define initial 1
#define waiting 2
#define visited 3
void BF_Traversal()
{
int v;
for(v=0; v<n; v++)
state[v] = initial;
printf("Enter Start Vertex for BFS: \n");
scanf("%d", &v);//0
BFS(v);
}
void BFS(int v)
{
int i;
insert_queue(v);
state[v] = waiting;
while(!isEmpty_queue())
{
v = delete_queue( );
printf("%d ",v);
state[v] = visited;
for(i=0; i<n; i++)
{
if(adj[v][i] == 1 && state[i] == initial)
{
insert_queue(i);
state[i] = waiting;
}
}
}
printf("\n");
}
void insert_queue(int vertex)
{
if(rear == MAX-1)
printf("Queue Overflow\n");
else
{
if(front == -1)
front = 0;
rear = rear+1;
queue[rear] = vertex ;
}
}
int isEmpty_queue()
{
if(front == -1 || front > rear)
return 1;
else
return 0;
}
int delete_queue()
{
int delete_item;
if(front == -1 || front > rear)
{
printf("Queue Underflow\n");
exit(1);
}
delete_item = queue[front];
front = front+1;
return delete_item;
}
void create_graph()
{
int count,max_edge,origin,destin;
FILE *fp;
fp = fopen("filebfs", "r");
//printf("Enter number of vertices : ");
fscanf(fp,"%d",&n);
max_edge = n*(n-1);
for(count=1; count<=max_edge; count++)
{
fscanf(fp,"%d %d",&origin,&destin);
if((origin == -1) && (destin == -1))
break;
if(origin>=n || destin>=n || origin<0 || destin<0)
{
printf("Invalid edge!\n");
count--;
}
else
{
adj[origin][destin] = 1;
}
}
}
//////////////////////////////////Gen Backtraking
void init(int *st, int k)
{
st[k] = 0;
}
int succesor(int *st, int k, int N)
{
if (st[k]<N)
{
++st[k];
return 1;
}
return 0;
}
int solutie(int *st, int k, int N)
{
return k == N;
}
void tipar(int *st, int k)
{
for (int i = 1;i <= k;i++)
printf("%d", st[i]);
printf("\n");
}
int valid(int *st, int k)
{
for (int i = 1;i<k;i++)
if (st[i] == st[k])
return 0;
return 1;
}
void bkt(int *st, int k, int N)
{
init(st, k);
while (succesor(st, k, N))
{
if (valid(st, k))
if (solutie(st, k, N))
tipar(st, k);
else
bkt(st, k + 1, N);
}
}