c – The random tree generation always creates a regular tree

I have done experiments with tree algorithms in C. To check their accuracy, I implemented a simple function to create random binary trees. It somehow seems that all generated trees are regular, which means that the tree is "full" and has exactly (2 ^ height) -1 nodes.

I start at the root node and call the function recursively for left and right child with a certain probability. The function also has a depth limit. The created tree does not always have the full height, but is always regular. I suspect something is wrong with my random number generator.

#include 
#include 
#include 

/ * Tree node; Data omitted for brevity * /
Typedef structure node {
Structure node * left, * right;
} Nodes;

/ * simple utility for printing a tree * /
void _print_tree (node ​​* node, int lvl) {

if (! node) return;

for (int i = 0; iright, lvl + 1);

for (int i = 0; iright, lvl + 1);
}

void print_tree (Node * root) {
_print_tree (root, 0);
}

/ * Create a random tree with a certain probability to create a child
Node and specified maximum depth / height of the tree * /
Node * make_random_tree (double prob, int maxdepth) {

Node * root = NULL;

if (maxdepth--)
root = calloc (1, sizeof (Node));

if (root) {
if (rand () < (double) RAND_MAX * prob)
            root->left = make_random_tree (prob, maxdepth);

if (rand () < (double) RAND_MAX * prob)
            root->right = make_random_tree (prob, maxdepth);
}

Return root;
}

int main (int argc, char * argv.)[]) {

Double sample = 0.5;
int maxdepth = 20;

if (argc> 1) {
char * ep;
prob = strtod (argv[1], & ep);
return if (* ep) 1;
}

if (argc> 2) {
char * ep;
maxdepth = strtol (argv[2]& ep, 10);
return if (* ep) 1;
}


/ * Random Number Generator Initializes Properly?! * /
struct timeval tv;
gettimeofday (& tv, NULL);
unsigned int seed = tv.tv_sec ^ tv.tv_usec;
Srand (seeds);


Node * tree = make_random_tree (prob, maxdepth);

print_tree (tree);

}