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| #define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stdlib.h>
enum nodeColor
{
RED,
BLACK
};
struct rbNode
{
int data, color;
struct rbNode *link[2];
};
struct rbNode *root = NULL;
struct rbNode * createNode(int data)
{
struct rbNode *newnode;
newnode = (struct rbNode *)malloc(sizeof(struct rbNode));
newnode->data = data;
newnode->color = RED;
newnode->link[0] = newnode->link[1] = NULL;
return newnode;
}
void insertion (int data)
{
struct rbNode *stack[98], *ptr, *newnode, *xPtr, *yPtr;
int dir[98], ht = 0, index;
ptr = root;
if (!root)
{
root = createNode(data);
return;
}
stack[ht] = root;
dir[ht++] = 0;
/* find the place to insert the new node */
while (ptr != NULL)
{
if (ptr->data == data)
{
printf("Duplicates Not Allowed!!\n");
return;
}
index = (data - ptr->data) > 0 ? 1 : 0;
stack[ht] = ptr;
ptr = ptr->link[index];
dir[ht++] = index;
}
/* insert the new node */
stack[ht - 1]->link[index] = newnode = createNode(data);
while ((ht >= 3) && (stack[ht - 1]->color == RED))
{
if (dir[ht - 2] == 0)
{
yPtr = stack[ht - 2]->link[1];
if (yPtr != NULL && yPtr->color == RED)
{
stack[ht - 2]->color = RED;
stack[ht - 1]->color = yPtr->color = BLACK;
ht = ht -2;
}
else
{
if (dir[ht - 1] == 0)
{
yPtr = stack[ht - 1];
}
else
{
xPtr = stack[ht - 1];
yPtr = xPtr->link[1];
xPtr->link[1] = yPtr->link[0];
yPtr->link[0] = xPtr;
stack[ht - 2]->link[0] = yPtr;
}
xPtr = stack[ht - 2];
xPtr->color = RED;
yPtr->color = BLACK;
xPtr->link[0] = yPtr->link[1];
yPtr->link[1] = xPtr;
if (xPtr == root)
{
root = yPtr;
}
else
{
stack[ht - 3]->link[dir[ht - 3]] = yPtr;
}
break;
}
}
else
{
yPtr = stack[ht - 2]->link[0];
if ((yPtr != NULL) && (yPtr->color == RED))
{
stack[ht - 2]->color = RED;
stack[ht - 1]->color = yPtr->color = BLACK;
ht = ht - 2;
} else {
if (dir[ht - 1] == 1)
{
yPtr = stack[ht - 1];
} else {
xPtr = stack[ht - 1];
yPtr = xPtr->link[0];
xPtr->link[0] = yPtr->link[1];
yPtr->link[1] = xPtr;
stack[ht - 2]->link[1] = yPtr;
}
xPtr = stack[ht - 2];
yPtr->color = BLACK;
xPtr->color = RED;
xPtr->link[1] = yPtr->link[0];
yPtr->link[0] = xPtr;
if (xPtr == root)
{
root = yPtr;
}
else
{
stack[ht - 3]->link[dir[ht - 3]] = yPtr;
}
break;
}
}
}
root->color = BLACK;
}
void deletion(int data)
{
struct rbNode *stack[98], *ptr, *xPtr, *yPtr;
struct rbNode *pPtr, *qPtr, *rPtr;
int dir[98], ht = 0, diff, i;
enum nodeColor color;
if (!root)
{
printf("Tree not available\n");
return;
}
ptr = root;
while (ptr != NULL)
{
if ((data - ptr->data) == 0)
break;
diff = (data - ptr->data) > 0 ? 1 : 0;//если значения есть, то вернуть 1, в противном случае 0
stack[ht] = ptr;
dir[ht++] = diff;
ptr = ptr->link[diff];
}
if (ptr->link[1] == NULL)
{
if ((ptr == root) && (ptr->link[0] == NULL))
{
free(ptr);
root = NULL;
} else if (ptr == root)
{
root = ptr->link[0];
free(ptr);
}
else
{
stack[ht - 1]->link[dir[ht - 1]] = ptr->link[0];
}
} else
{
xPtr = ptr->link[1];
if (xPtr->link[0] == NULL)
{
xPtr->link[0] = ptr->link[0];
color = (xPtr->color==0) ? RED:BLACK;
xPtr->color = ptr->color;
ptr->color = color;
if (ptr == root)
{
root = xPtr;
}
else
{
stack[ht - 1]->link[dir[ht - 1]] = xPtr;
}
dir[ht] = 1;
stack[ht++] = xPtr;
}
else
{
i = ht++;
while (1)
{
dir[ht] = 0;
stack[ht++] = xPtr;
yPtr = xPtr->link[0];
if (!yPtr->link[0])
break;
xPtr = yPtr;
}
dir[i] = 1;
stack[i] = yPtr;
if (i > 0)
stack[i - 1]->link[dir[i - 1]] = yPtr;
yPtr->link[0] = ptr->link[0];
xPtr->link[0] = yPtr->link[1];
yPtr->link[1] = ptr->link[1];
if (ptr == root)
{
root = yPtr;
}
color = (yPtr->color==0) ? RED:BLACK;
yPtr->color = ptr->color;
ptr->color = color;
}
}
if (ht < 1)
return;
if (ptr->color == BLACK)
{
while (1)
{
pPtr = stack[ht - 1]->link[dir[ht - 1]];
if (pPtr && pPtr->color == RED)
{
pPtr->color = BLACK;
break;
}
if (ht < 2)
break;
if (dir[ht - 2] == 0)
{
rPtr = stack[ht - 1]->link[1];
if (!rPtr)
break;
if (rPtr->color == RED)
{
stack[ht - 1]->color = RED;
rPtr->color = BLACK;
stack[ht - 1]->link[1] = rPtr->link[0];
rPtr->link[0] = stack[ht - 1];
if (stack[ht - 1] == root)
{
root = rPtr;
}
else
{
stack[ht - 2]->link[dir[ht - 2]] = rPtr;
}
dir[ht] = 0;
stack[ht] = stack[ht - 1];
stack[ht - 1] = rPtr;
ht++;
rPtr = stack[ht - 1]->link[1];
}
if ( (!rPtr->link[0] || rPtr->link[0]->color == BLACK) && (!rPtr->link[1] || rPtr->link[1]->color == BLACK))
{
rPtr->color = RED;
} else {
if (!rPtr->link[1] || rPtr->link[1]->color == BLACK)
{
qPtr = rPtr->link[0];
rPtr->color = RED;
qPtr->color = BLACK;
rPtr->link[0] = qPtr->link[1];
qPtr->link[1] = rPtr;
rPtr = stack[ht - 1]->link[1] = qPtr;
}
rPtr->color = stack[ht - 1]->color;
stack[ht - 1]->color = BLACK;
rPtr->link[1]->color = BLACK;
stack[ht - 1]->link[1] = rPtr->link[0];
rPtr->link[0] = stack[ht - 1];
if (stack[ht - 1] == root)
{
root = rPtr;
}
else
{
stack[ht - 2]->link[dir[ht - 2]] = rPtr;
}
break;
}
}
else
{
rPtr = stack[ht - 1]->link[0];
if (!rPtr)
break;
if (rPtr->color == RED)
{
stack[ht - 1]->color = RED;
rPtr->color = BLACK;
stack[ht - 1]->link[0] = rPtr->link[1];
rPtr->link[1] = stack[ht - 1];
if (stack[ht - 1] == root)
{
root = rPtr;
}
else
{
stack[ht - 2]->link[dir[ht - 2]] = rPtr;
}
dir[ht] = 1;
stack[ht] = stack[ht - 1];
stack[ht - 1] = rPtr;
ht++;
rPtr = stack[ht - 1]->link[0];
}
if ( (!rPtr->link[0] || rPtr->link[0]->color == BLACK) && (!rPtr->link[1] || rPtr->link[1]->color == BLACK))
{
rPtr->color = RED;
}
else
{
if (!rPtr->link[0] || rPtr->link[0]->color == BLACK)
{
qPtr = rPtr->link[1];
rPtr->color = RED;
qPtr->color = BLACK;
rPtr->link[1] = qPtr->link[0];
qPtr->link[0] = rPtr;
rPtr = stack[ht - 1]->link[0] = qPtr;
}
rPtr->color = stack[ht - 1]->color;
stack[ht - 1]->color = BLACK;
rPtr->link[0]->color = BLACK;
stack[ht - 1]->link[0] = rPtr->link[1];
rPtr->link[1] = stack[ht - 1];
if (stack[ht - 1] == root)
{
root = rPtr;
}
else
{
stack[ht - 2]->link[dir[ht - 2]] = rPtr;
}
break;
}
}
ht--;
}
}
}
void searchElement(int data)
{
struct rbNode *temp = root;
int diff;
while (temp != NULL)
{
diff = data - temp->data;
if (diff > 0)
{
temp = temp->link[1];
}
else
if (diff < 0)
{
temp = temp->link[0];
}
else
{
printf("Search Element Found!!\n");
return;
}
}
printf("Given Data Not Found in RB Tree!!\n");
return;
}
void inorderTraversal(struct rbNode *node)
{
if (node)
{
inorderTraversal(node->link[0]);
printf("%d ", node->data);
inorderTraversal(node->link[1]);
}
return;
}
int main()
{
int ch, data;
while (1)
{
printf("1. Insertion\t2. Deletion\n");
printf("3. Searching\t4. Traverse\n");
printf("5. Exit\nEnter your choice:");
scanf("%d", &ch);
switch (ch)
{
case 1:
printf("Enter the data to insert:");
scanf("%d", &data);
insertion(data);
break;
case 2:
printf("Enter the data to delete:");
scanf("%d", &data);
deletion(data);
break;
case 3:
printf("Enter the search element:");
scanf("%d", &data);
searchElement(data);
break;
case 4:
inorderTraversal(root);
printf("\n");
break;
case 5:
exit(0);
default:
printf("You have entered wrong option!!\n");
break;
}
printf("\n");
}
return 0;
} |
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