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red black tree implementation in c
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#include <stdio.h> | |
#include <stdlib.h> | |
#include <string.h> | |
#if defined(_WIN32) && defined(_MSC_VER) | |
#pragma warning (disable : 4996) | |
#endif | |
enum { RED, BLACK }; | |
typedef int COLOR; | |
typedef int valueType; | |
typedef struct Node { | |
valueType value; | |
COLOR color; | |
struct Node *right, *left, *parent; | |
}*node; | |
typedef node* tree; | |
node initilize(node, valueType); | |
node grandparent(node); | |
node uncle(node); | |
node sibling(node); | |
node findNode(tree, valueType); | |
void insertNode(tree, valueType); | |
void insertUtil(node); | |
void removeNode(tree, valueType); | |
void removeUtil(node); | |
void rotateRight(node); | |
void rotateLeft(node); | |
node findNode(tree, valueType); | |
void replaceNode(tree, node, node); | |
void printNode(node n); | |
void inorderIterator(node n, void(*func)(node)); | |
void inorderPrint(tree t); | |
void destroy(node); | |
node initilize(node p, valueType v) | |
{ | |
node tree = (node)malloc(sizeof(struct Node)); | |
tree->left = tree->right = NULL; | |
tree->parent = p; | |
tree->value = v; | |
tree->color = RED; | |
return tree; | |
} | |
node grandparent(node n) | |
{ | |
if (n == NULL || n->parent == NULL) | |
return NULL; | |
return n->parent->parent; | |
} | |
node uncle(node n) | |
{ | |
node g = grandparent(n); | |
if (n == NULL || g == NULL) | |
return NULL; | |
if (n->parent == g->left) | |
return g->right; | |
else | |
return g->left; | |
} | |
node sibling(node n) | |
{ | |
if (n == n->parent->left) | |
return n->parent->right; | |
else | |
return n->parent->left; | |
} | |
int colorOf(node n) | |
{ | |
return n == NULL ? BLACK : n->color; | |
} | |
void insertNode(tree t, valueType v) | |
{ | |
int pl = 0; | |
node ptr, btr = NULL, newNode; | |
for (ptr = *t; ptr != NULL; | |
btr = ptr, ptr = ((pl = (ptr->value > v)) ? ptr->left : ptr->right)); | |
newNode = initilize(btr, v); | |
if (btr != NULL) | |
(pl) ? (btr->left = newNode) : (btr->right = newNode); | |
insertUtil(newNode); | |
ptr = newNode; | |
for (ptr = newNode; ptr != NULL; btr = ptr, ptr = ptr->parent); | |
*t = btr; | |
} | |
void insertUtil(node n) | |
{ | |
node u = uncle(n), g = grandparent(n), p = n->parent; | |
if (p == NULL) | |
n->color = BLACK; | |
else if (p->color == BLACK) | |
return; | |
else if (u != NULL && u->color == RED) | |
{ | |
p->color = BLACK; | |
u->color = BLACK; | |
g->color = RED; | |
insertUtil(g); | |
} | |
else | |
{ | |
if (n == p->right && p == g->left) | |
{ | |
rotateLeft(p); | |
n = n->left; | |
} | |
else if (n == p->left && p == g->right) | |
{ | |
rotateRight(p); | |
n = n->right; | |
} | |
g = grandparent(n); | |
p = n->parent; | |
p->color = BLACK; | |
g->color = RED; | |
if (n == p->left) | |
rotateRight(g); | |
else | |
rotateLeft(g); | |
} | |
} | |
void replaceNode(tree t, node o, node n) | |
{ | |
if (o->parent == NULL) | |
*t = n; | |
else | |
{ | |
if (o == o->parent->left) | |
o->parent->left = n; | |
else | |
o->parent->right = n; | |
} | |
if (n != NULL) | |
n->parent = o->parent; | |
} | |
void removeNode(tree t, valueType v) | |
{ | |
node n = findNode(t, v), c; | |
if (n == NULL) | |
return; | |
if (n->left != NULL && n->right != NULL) | |
{ | |
node pred = n->left; | |
while (pred->right != NULL) | |
pred = pred->right; | |
n->value = pred->value; | |
n = pred; | |
} | |
c = n->right == NULL ? n->left : n->right; | |
if (n->color == BLACK) | |
{ | |
n->color = colorOf(c); | |
removeUtil(n); | |
} | |
replaceNode(t, n, c); | |
free(n); | |
} | |
void removeUtil(node n) | |
{ | |
if (n->parent == NULL) | |
return; | |
node s = sibling(n); | |
if (colorOf(s) == RED) | |
{ | |
n->parent->color = RED; | |
s->color = BLACK; | |
if (n == n->parent->left) | |
rotateLeft(n->parent); | |
else | |
rotateRight(n->parent); | |
} | |
s = sibling(n); | |
if (colorOf(n->parent) == BLACK && colorOf(s) == BLACK && | |
colorOf(s->left) == BLACK && colorOf(s->right) == BLACK) | |
{ | |
s->color = RED; | |
removeUtil(n->parent); | |
} | |
else if (colorOf(n->parent) == RED && colorOf(s) == BLACK && | |
colorOf(s->left) == BLACK && colorOf(s->right) == BLACK) | |
{ | |
s->color = RED; | |
n->parent->color = BLACK; | |
} | |
else | |
{ | |
if (n == n->parent->left && colorOf(s) == BLACK && | |
colorOf(s->left) == RED && colorOf(s->right) == BLACK) | |
{ | |
s->color = RED; | |
s->left->color = BLACK; | |
rotateRight(s); | |
} | |
else if (n == n->parent->right && colorOf(s) == BLACK && | |
colorOf(s->right) == RED && colorOf(s->left) == BLACK) | |
{ | |
s->color = RED; | |
s->right->color = BLACK; | |
rotateLeft(s); | |
} | |
s->color = colorOf(n->parent); | |
n->parent->color = BLACK; | |
if (n == n->parent->left) | |
{ | |
s->right->color = BLACK; | |
rotateLeft(n->parent); | |
} | |
else | |
{ | |
s->left->color = BLACK; | |
rotateRight(n->parent); | |
} | |
} | |
} | |
void rotateRight(node tree) | |
{ | |
node c = tree->left; | |
node p = tree->parent; | |
if (c->right != NULL) | |
c->right->parent = tree; | |
tree->left = c->right; | |
tree->parent = c; | |
c->right = tree; | |
c->parent = p; | |
if (p != NULL) | |
{ | |
if (p->right == tree) | |
p->right = c; | |
else | |
p->left = c; | |
} | |
printf("rotation %d, right\n", tree->value); | |
} | |
void rotateLeft(node tree) | |
{ | |
node c = tree->right; | |
node p = tree->parent; | |
if (c->left != NULL) | |
c->left->parent = tree; | |
tree->right = c->left; | |
tree->parent = c; | |
c->left = tree; | |
c->parent = p; | |
if (p != NULL) | |
{ | |
if (p->left == tree) | |
p->left = c; | |
else | |
p->right = c; | |
} | |
printf("rotation %d, left\n", tree->value); | |
} | |
node findNode(tree t, valueType v) | |
{ | |
node p; | |
for (p = *t; p != NULL && p->value != v; p = (p->value > v ? p->left : p->right)); | |
return p; | |
} | |
void printNode(node n) | |
{ | |
printf("%d(%s) ", n->value, (n->color == BLACK ? "b" : "r")); | |
} | |
void inorderIterator(node n, void(*func)(node)) | |
{ | |
if (n == NULL) | |
return; | |
inorderIterator(n->left, func); | |
func(n); | |
inorderIteratorP(n->right, func); | |
} | |
void inorderPrint(tree t) | |
{ | |
inorderInterator(*t, printNode); | |
printf("\n"); | |
} | |
void destroy(node tree) | |
{ | |
if (tree == NULL) | |
return; | |
destroy(tree->left); | |
destroy(tree->right); | |
free(tree); | |
} | |
int main(int argc, char * argv[]) | |
{ | |
FILE * fp; | |
#if !defined(_WIN32) && !defined(_MSC_VER) | |
if (argc < 2) | |
{ | |
printf("you must input argument.\n"); | |
printf("%s [input]\n", argv[0]); | |
return -1; | |
} | |
fp = fopen(argv[1], "r"); | |
#else | |
fp = fopen("input.txt", "r"); | |
#endif | |
if (fp == NULL) | |
{ | |
printf("%s is not exist.\n", argv[1]); | |
return -2; | |
} | |
node tree = NULL; | |
char c = 0, cc = 0; | |
for (int ch = 0, chk = 0; !(chk < 0); inorderPrint(&tree)) | |
{ | |
if (c == '\n') | |
{ | |
printf("start delete\n"); | |
cc = 1; | |
} | |
chk = fscanf(fp, "%d", &ch); | |
chk = fscanf(fp, "%c", &c); | |
if (!cc) | |
insertNode(&tree, ch); | |
else | |
removeNode(&tree, ch); | |
} | |
#if defined(_WIN32) && defined(_MSC_VER) | |
system("pause"); | |
#endif | |
destroy(tree); | |
fclose(fp); | |
return 0; | |
} |
Think one of the remove cases is broken:
printf ("---------------\n");
tree = NULL;
insertNode(&tree, 1);
insertNode(&tree, 2);
insertNode(&tree, 3);
insertNode(&tree, 4);
insertNode(&tree, 5);
inorderPrint(&tree);
printf ("---------------\n");
removeNode(&tree, 1);
inorderPrint(&tree);
destroy(tree);
printf ("---------------\n");
Generates:
rotation 1, left
rotation 3, left
1(b) 2(b) 3(r) 4(b) 5(r)
rotation 2, left
2(b) 3(r)
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if defined(~) at main for debug