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mainREDBLACKTREE.c
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#include <stdio.h>
#include <stdlib.h>
#define RED 0
#define BLACK 1
struct rbnode
{
int value;
int color;
struct rbnode*left,*right,*parent;
};
void flipcolor(struct rbnode*node)
{
(node->color)=1-(node->color);
}
struct rbnode*singleleftrotate(struct rbnode*gp)
{
struct rbnode*p=gp->right;
gp->right=p->left;
if(p->left!=NULL)
{
p->left->parent=gp;
}
p->parent=gp->parent;
p->left=gp;
gp->parent=p;
flipcolor(gp);
flipcolor(p);
return p;
}
struct rbnode*singlerightrotate(struct rbnode*gp)
{
struct rbnode*p=gp->left;
gp->left=p->right;
if(p->right!=NULL)
{
p->right->parent=gp;
}
p->parent=gp->parent;
p->right=gp;
gp->parent=p;
flipcolor(gp);
flipcolor(p);
return p;
}
struct rbnode*doubleleftrightrotate(struct rbnode*gp)
{
struct rbnode*c,*p;
p=gp->left;
c=p->right;
p->right=c->left;
if(c->left!=NULL)
{
c->left->parent=p;
}
c->left=p;
p->parent=c;
gp->left=c;
c->parent=gp;
return singlerightrotate(gp);
}
struct rbnode*doublerightleftrotate(struct rbnode*gp)
{
struct rbnode*c,*p;
p=gp->right;
c=p->left;
p->left=c->right;
if(c->right!=NULL)
{
c->right->parent=p;
}
c->right=p;
p->parent=c;
gp->right=c;
c->parent=gp;
return singleleftrotate(gp);
}
int isroot(struct rbnode*node)
{
if(node->parent==NULL)
{
return 1;
}
else
{
return 0;
}
}
int getcolor(struct rbnode*node)
{
if(node==NULL)
{
return BLACK;
}
else
{
return node->color;
}
}
struct rbnode*getuncle(struct rbnode*node)
{
struct rbnode*p,*gp;
p=node->parent;
gp=p->parent;
if(p==gp->left)
{
return gp->right;
}
else
{
return gp->left;
}
}
struct rbnode*insert(struct rbnode*root,int v)
{
struct rbnode*newnode,*x,*p,*gp,*uncle;
newnode=(struct rbnode*)malloc(sizeof(struct rbnode));
if(newnode==NULL)
{
printf("Malloc failed");
}
newnode->value=v;
newnode->color=RED;
newnode->left=NULL;
newnode->right=NULL;
if(root==NULL)
{
newnode->color=BLACK;
newnode->parent=NULL;
return newnode;
}
p=root;
while(1)
{
if(v<p->value)
{
if(p->left==NULL)
{
p->left=newnode;
newnode->parent=p;
break;
}
p=p->left;
}
else
{
if(p->right==NULL)
{
p->right=newnode;
newnode->parent=p;
break;
}
p=p->right;
}
}
x=newnode;
while(1)
{
p=x->parent;
if(p->color==BLACK)
break;
gp=p->parent;
uncle=getuncle(newnode);
if(getcolor(uncle)==RED)
{
p->color=BLACK;
uncle->color=BLACK;
gp->color=RED;
if(isroot(gp)){root=gp;gp->color=BLACK;break;}
x=gp;
continue;
}
else
{
if(p==gp->left)
{
if(newnode==p->left)
{
if(isroot(gp)) root=singlerightrotate(gp);
else if(gp==gp->parent->left) gp->parent->left=singlerightrotate(gp);
else gp->parent->right=singlerightrotate(gp);
}
else
{
if(isroot(gp)) root=doubleleftrightrotate(gp);
else if(gp==gp->parent->left) gp->parent->left=doubleleftrightrotate(gp);
else gp->parent->right=doubleleftrightrotate(gp);
}
}
else
{
if(newnode==p->right)
{
if(isroot(gp)) root=singleleftrotate(gp);
else if(gp==gp->parent->left) gp->parent->left=singleleftrotate(gp);
else gp->parent->right=singleleftrotate(gp);
}
else
{
if(isroot(gp)) root=doublerightleftrotate(gp);
else if(gp==gp->parent->left) gp->parent->left=doublerightleftrotate(gp);
else gp->parent->right=doublerightleftrotate(gp);
}
}
break;
}
}
return root;
}
void traverse(struct rbnode*root)
{
if(root==NULL) return;
traverse(root->left);
printf("%d %s\n",root->value,(root->color)?"BLACK":"RED");
traverse(root->right);
}
int main(int argc, char *argv[])
{
struct rbnode*root=NULL;
int value;
printf("\nEnter node values = ");
while(1)
{
scanf("%d",&value);
if(value==-1) break;
root=insert(root,value);
traverse(root);
}
printf("\nDisplaying Tree : \n");
traverse(root);
return 0;
}