This source file includes following definitions.
- NewTreeNode
- ItemCheck
- BottomUpTree
- DeleteTree
- main
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
typedef struct tn {
struct tn* left;
struct tn* right;
long item;
} treeNode;
treeNode* NewTreeNode(treeNode* left, treeNode* right, long item)
{
treeNode* new;
new = (treeNode*)malloc(sizeof(treeNode));
new->left = left;
new->right = right;
new->item = item;
return new;
}
long ItemCheck(treeNode* tree)
{
if (tree->left == NULL)
return tree->item;
else
return tree->item + ItemCheck(tree->left) - ItemCheck(tree->right);
}
treeNode* BottomUpTree(long item, unsigned depth)
{
if (depth > 0)
return NewTreeNode
(
BottomUpTree(2 * item - 1, depth - 1),
BottomUpTree(2 * item, depth - 1),
item
);
else
return NewTreeNode(NULL, NULL, item);
}
void DeleteTree(treeNode* tree)
{
if (tree->left != NULL)
{
DeleteTree(tree->left);
DeleteTree(tree->right);
}
free(tree);
}
int main(int argc, char* argv[])
{
unsigned N, depth, minDepth, maxDepth, stretchDepth;
treeNode *stretchTree, *longLivedTree, *tempTree;
N = atol(argv[1]);
minDepth = 4;
if ((minDepth + 2) > N)
maxDepth = minDepth + 2;
else
maxDepth = N;
stretchDepth = maxDepth + 1;
stretchTree = BottomUpTree(0, stretchDepth);
printf
(
"stretch tree of depth %u\t check: %li\n",
stretchDepth,
ItemCheck(stretchTree)
);
DeleteTree(stretchTree);
longLivedTree = BottomUpTree(0, maxDepth);
for (depth = minDepth; depth <= maxDepth; depth += 2)
{
long i, iterations, check;
iterations = pow(2, maxDepth - depth + minDepth);
check = 0;
for (i = 1; i <= iterations; i++)
{
tempTree = BottomUpTree(i, depth);
check += ItemCheck(tempTree);
DeleteTree(tempTree);
tempTree = BottomUpTree(-i, depth);
check += ItemCheck(tempTree);
DeleteTree(tempTree);
}
printf
(
"%li\t trees of depth %u\t check: %li\n",
iterations * 2,
depth,
check
);
}
printf
(
"long lived tree of depth %u\t check: %li\n",
maxDepth,
ItemCheck(longLivedTree)
);
return 0;
}