/*
* Create a 2-3-4 tree.
*/
-tree234 *newtree234(cmpfn234 cmp) {
+tree234 *newtree234(cmpfn234 cmp)
+{
tree234 *ret = mknew(tree234);
LOG(("created tree %p\n", ret));
ret->root = NULL;
/*
* Free a 2-3-4 tree (not including freeing the elements).
*/
-static void freenode234(node234 *n) {
+static void freenode234(node234 * n)
+{
if (!n)
return;
freenode234(n->kids[0]);
freenode234(n->kids[3]);
sfree(n);
}
-void freetree234(tree234 *t) {
+
+void freetree234(tree234 * t)
+{
freenode234(t->root);
sfree(t);
}
/*
* Internal function to count a node.
*/
-static int countnode234(node234 *n) {
+static int countnode234(node234 * n)
+{
int count = 0;
int i;
+ if (!n)
+ return 0;
for (i = 0; i < 4; i++)
count += n->counts[i];
for (i = 0; i < 3; i++)
/*
* Count the elements in a tree.
*/
-int count234(tree234 *t) {
+int count234(tree234 * t)
+{
if (t->root)
return countnode234(t->root);
else
* Add an element e to a 2-3-4 tree t. Returns e on success, or if
* an existing element compares equal, returns that.
*/
-static void *add234_internal(tree234 *t, void *e, int index) {
+static void *add234_internal(tree234 * t, void *e, int index)
+{
node234 *n, **np, *left, *right;
void *orig_e = e;
int c, lcount, rcount;
* always starts at the bottom, never in the
* middle).
*/
- do { /* this is a do ... while (0) to allow `break' */
+ do { /* this is a do ... while (0) to allow `break' */
if (index <= n->counts[0]) {
childnum = 0;
break;
if ((c = t->cmp(e, n->elems[0])) < 0)
childnum = 0;
else if (c == 0)
- return n->elems[0]; /* already exists */
- else if (n->elems[1] == NULL || (c = t->cmp(e, n->elems[1])) < 0)
- childnum = 1;
+ return n->elems[0]; /* already exists */
+ else if (n->elems[1] == NULL
+ || (c = t->cmp(e, n->elems[1])) < 0) childnum = 1;
else if (c == 0)
- return n->elems[1]; /* already exists */
- else if (n->elems[2] == NULL || (c = t->cmp(e, n->elems[2])) < 0)
- childnum = 2;
+ return n->elems[1]; /* already exists */
+ else if (n->elems[2] == NULL
+ || (c = t->cmp(e, n->elems[2])) < 0) childnum = 2;
else if (c == 0)
- return n->elems[2]; /* already exists */
+ return n->elems[2]; /* already exists */
else
childnum = 3;
}
/*
* We need to insert the new element in n at position np.
*/
- left = NULL; lcount = 0;
- right = NULL; rcount = 0;
+ left = NULL;
+ lcount = 0;
+ right = NULL;
+ rcount = 0;
while (n) {
LOG((" at %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d\n",
n,
*/
if (np == &n->kids[0]) {
LOG((" inserting on left of 2-node\n"));
- n->kids[2] = n->kids[1]; n->counts[2] = n->counts[1];
+ n->kids[2] = n->kids[1];
+ n->counts[2] = n->counts[1];
n->elems[1] = n->elems[0];
- n->kids[1] = right; n->counts[1] = rcount;
+ n->kids[1] = right;
+ n->counts[1] = rcount;
n->elems[0] = e;
- n->kids[0] = left; n->counts[0] = lcount;
- } else { /* np == &n->kids[1] */
+ n->kids[0] = left;
+ n->counts[0] = lcount;
+ } else { /* np == &n->kids[1] */
LOG((" inserting on right of 2-node\n"));
- n->kids[2] = right; n->counts[2] = rcount;
+ n->kids[2] = right;
+ n->counts[2] = rcount;
n->elems[1] = e;
- n->kids[1] = left; n->counts[1] = lcount;
+ n->kids[1] = left;
+ n->counts[1] = lcount;
}
- if (n->kids[0]) n->kids[0]->parent = n;
- if (n->kids[1]) n->kids[1]->parent = n;
- if (n->kids[2]) n->kids[2]->parent = n;
+ if (n->kids[0])
+ n->kids[0]->parent = n;
+ if (n->kids[1])
+ n->kids[1]->parent = n;
+ if (n->kids[2])
+ n->kids[2]->parent = n;
LOG((" done\n"));
break;
} else if (n->elems[2] == NULL) {
*/
if (np == &n->kids[0]) {
LOG((" inserting on left of 3-node\n"));
- n->kids[3] = n->kids[2]; n->counts[3] = n->counts[2];
+ n->kids[3] = n->kids[2];
+ n->counts[3] = n->counts[2];
n->elems[2] = n->elems[1];
- n->kids[2] = n->kids[1]; n->counts[2] = n->counts[1];
+ n->kids[2] = n->kids[1];
+ n->counts[2] = n->counts[1];
n->elems[1] = n->elems[0];
- n->kids[1] = right; n->counts[1] = rcount;
+ n->kids[1] = right;
+ n->counts[1] = rcount;
n->elems[0] = e;
- n->kids[0] = left; n->counts[0] = lcount;
+ n->kids[0] = left;
+ n->counts[0] = lcount;
} else if (np == &n->kids[1]) {
LOG((" inserting in middle of 3-node\n"));
- n->kids[3] = n->kids[2]; n->counts[3] = n->counts[2];
+ n->kids[3] = n->kids[2];
+ n->counts[3] = n->counts[2];
n->elems[2] = n->elems[1];
- n->kids[2] = right; n->counts[2] = rcount;
+ n->kids[2] = right;
+ n->counts[2] = rcount;
n->elems[1] = e;
- n->kids[1] = left; n->counts[1] = lcount;
- } else { /* np == &n->kids[2] */
+ n->kids[1] = left;
+ n->counts[1] = lcount;
+ } else { /* np == &n->kids[2] */
LOG((" inserting on right of 3-node\n"));
- n->kids[3] = right; n->counts[3] = rcount;
+ n->kids[3] = right;
+ n->counts[3] = rcount;
n->elems[2] = e;
- n->kids[2] = left; n->counts[2] = lcount;
+ n->kids[2] = left;
+ n->counts[2] = lcount;
}
- if (n->kids[0]) n->kids[0]->parent = n;
- if (n->kids[1]) n->kids[1]->parent = n;
- if (n->kids[2]) n->kids[2]->parent = n;
- if (n->kids[3]) n->kids[3]->parent = n;
+ if (n->kids[0])
+ n->kids[0]->parent = n;
+ if (n->kids[1])
+ n->kids[1]->parent = n;
+ if (n->kids[2])
+ n->kids[2]->parent = n;
+ if (n->kids[3])
+ n->kids[3]->parent = n;
LOG((" done\n"));
break;
} else {
* always.
*/
if (np == &n->kids[0]) {
- m->kids[0] = left; m->counts[0] = lcount;
+ m->kids[0] = left;
+ m->counts[0] = lcount;
m->elems[0] = e;
- m->kids[1] = right; m->counts[1] = rcount;
+ m->kids[1] = right;
+ m->counts[1] = rcount;
m->elems[1] = n->elems[0];
- m->kids[2] = n->kids[1]; m->counts[2] = n->counts[1];
+ m->kids[2] = n->kids[1];
+ m->counts[2] = n->counts[1];
e = n->elems[1];
- n->kids[0] = n->kids[2]; n->counts[0] = n->counts[2];
+ n->kids[0] = n->kids[2];
+ n->counts[0] = n->counts[2];
n->elems[0] = n->elems[2];
- n->kids[1] = n->kids[3]; n->counts[1] = n->counts[3];
+ n->kids[1] = n->kids[3];
+ n->counts[1] = n->counts[3];
} else if (np == &n->kids[1]) {
- m->kids[0] = n->kids[0]; m->counts[0] = n->counts[0];
+ m->kids[0] = n->kids[0];
+ m->counts[0] = n->counts[0];
m->elems[0] = n->elems[0];
- m->kids[1] = left; m->counts[1] = lcount;
+ m->kids[1] = left;
+ m->counts[1] = lcount;
m->elems[1] = e;
- m->kids[2] = right; m->counts[2] = rcount;
+ m->kids[2] = right;
+ m->counts[2] = rcount;
e = n->elems[1];
- n->kids[0] = n->kids[2]; n->counts[0] = n->counts[2];
+ n->kids[0] = n->kids[2];
+ n->counts[0] = n->counts[2];
n->elems[0] = n->elems[2];
- n->kids[1] = n->kids[3]; n->counts[1] = n->counts[3];
+ n->kids[1] = n->kids[3];
+ n->counts[1] = n->counts[3];
} else if (np == &n->kids[2]) {
- m->kids[0] = n->kids[0]; m->counts[0] = n->counts[0];
+ m->kids[0] = n->kids[0];
+ m->counts[0] = n->counts[0];
m->elems[0] = n->elems[0];
- m->kids[1] = n->kids[1]; m->counts[1] = n->counts[1];
+ m->kids[1] = n->kids[1];
+ m->counts[1] = n->counts[1];
m->elems[1] = n->elems[1];
- m->kids[2] = left; m->counts[2] = lcount;
+ m->kids[2] = left;
+ m->counts[2] = lcount;
/* e = e; */
- n->kids[0] = right; n->counts[0] = rcount;
+ n->kids[0] = right;
+ n->counts[0] = rcount;
n->elems[0] = n->elems[2];
- n->kids[1] = n->kids[3]; n->counts[1] = n->counts[3];
- } else { /* np == &n->kids[3] */
- m->kids[0] = n->kids[0]; m->counts[0] = n->counts[0];
+ n->kids[1] = n->kids[3];
+ n->counts[1] = n->counts[3];
+ } else { /* np == &n->kids[3] */
+ m->kids[0] = n->kids[0];
+ m->counts[0] = n->counts[0];
m->elems[0] = n->elems[0];
- m->kids[1] = n->kids[1]; m->counts[1] = n->counts[1];
+ m->kids[1] = n->kids[1];
+ m->counts[1] = n->counts[1];
m->elems[1] = n->elems[1];
- m->kids[2] = n->kids[2]; m->counts[2] = n->counts[2];
- n->kids[0] = left; n->counts[0] = lcount;
+ m->kids[2] = n->kids[2];
+ m->counts[2] = n->counts[2];
+ n->kids[0] = left;
+ n->counts[0] = lcount;
n->elems[0] = e;
- n->kids[1] = right; n->counts[1] = rcount;
+ n->kids[1] = right;
+ n->counts[1] = rcount;
e = n->elems[2];
}
m->kids[3] = n->kids[3] = n->kids[2] = NULL;
m->counts[3] = n->counts[3] = n->counts[2] = 0;
m->elems[2] = n->elems[2] = n->elems[1] = NULL;
- if (m->kids[0]) m->kids[0]->parent = m;
- if (m->kids[1]) m->kids[1]->parent = m;
- if (m->kids[2]) m->kids[2]->parent = m;
- if (n->kids[0]) n->kids[0]->parent = n;
- if (n->kids[1]) n->kids[1]->parent = n;
+ if (m->kids[0])
+ m->kids[0]->parent = m;
+ if (m->kids[1])
+ m->kids[1]->parent = m;
+ if (m->kids[2])
+ m->kids[2]->parent = m;
+ if (n->kids[0])
+ n->kids[0]->parent = n;
+ if (n->kids[1])
+ n->kids[1]->parent = n;
LOG((" left (%p): %p/%d [%p] %p/%d [%p] %p/%d\n", m,
m->kids[0], m->counts[0], m->elems[0],
m->kids[1], m->counts[1], m->elems[1],
LOG((" right (%p): %p/%d [%p] %p/%d\n", n,
n->kids[0], n->counts[0], n->elems[0],
n->kids[1], n->counts[1]));
- left = m; lcount = countnode234(left);
- right = n; rcount = countnode234(right);
+ left = m;
+ lcount = countnode234(left);
+ right = n;
+ rcount = countnode234(right);
}
if (n->parent)
np = (n->parent->kids[0] == n ? &n->parent->kids[0] :
} else {
LOG((" root is overloaded, split into two\n"));
t->root = mknew(node234);
- t->root->kids[0] = left; t->root->counts[0] = lcount;
+ t->root->kids[0] = left;
+ t->root->counts[0] = lcount;
t->root->elems[0] = e;
- t->root->kids[1] = right; t->root->counts[1] = rcount;
+ t->root->kids[1] = right;
+ t->root->counts[1] = rcount;
t->root->elems[1] = NULL;
- t->root->kids[2] = NULL; t->root->counts[2] = 0;
+ t->root->kids[2] = NULL;
+ t->root->counts[2] = 0;
t->root->elems[2] = NULL;
- t->root->kids[3] = NULL; t->root->counts[3] = 0;
+ t->root->kids[3] = NULL;
+ t->root->counts[3] = 0;
t->root->parent = NULL;
- if (t->root->kids[0]) t->root->kids[0]->parent = t->root;
- if (t->root->kids[1]) t->root->kids[1]->parent = t->root;
+ if (t->root->kids[0])
+ t->root->kids[0]->parent = t->root;
+ if (t->root->kids[1])
+ t->root->kids[1]->parent = t->root;
LOG((" new root is %p/%d [%p] %p/%d\n",
t->root->kids[0], t->root->counts[0],
- t->root->elems[0],
- t->root->kids[1], t->root->counts[1]));
+ t->root->elems[0], t->root->kids[1], t->root->counts[1]));
}
return orig_e;
}
-void *add234(tree234 *t, void *e) {
+void *add234(tree234 * t, void *e)
+{
if (!t->cmp) /* tree is unsorted */
return NULL;
return add234_internal(t, e, -1);
}
-void *addpos234(tree234 *t, void *e, int index) {
+void *addpos234(tree234 * t, void *e, int index)
+{
if (index < 0 || /* index out of range */
t->cmp) /* tree is sorted */
return NULL; /* return failure */
- return add234_internal(t, e, index); /* this checks the upper bound */
+ return add234_internal(t, e, index); /* this checks the upper bound */
}
/*
* Look up the element at a given numeric index in a 2-3-4 tree.
* Returns NULL if the index is out of range.
*/
-void *index234(tree234 *t, int index) {
+void *index234(tree234 * t, int index)
+{
node234 *n;
if (!t->root)
return NULL; /* out of range */
n = t->root;
-
+
while (n) {
if (index < n->counts[0])
n = n->kids[0];
* as NULL, in which case the compare function from the tree proper
* will be used.
*/
-void *findrelpos234(tree234 *t, void *e, cmpfn234 cmp,
- int relation, int *index) {
+void *findrelpos234(tree234 * t, void *e, cmpfn234 cmp,
+ int relation, int *index)
+{
node234 *n;
void *ret;
int c;
(c = cmpret ? cmpret : cmp(e, n->elems[kcount])) < 0) {
break;
}
- if (n->kids[kcount]) idx += n->counts[kcount];
+ if (n->kids[kcount])
+ idx += n->counts[kcount];
if (c == 0) {
ecount = kcount;
break;
* relation is EQ, LE or GE we can now go home.
*/
if (relation != REL234_LT && relation != REL234_GT) {
- if (index) *index = idx;
+ if (index)
+ *index = idx;
return n->elems[ecount];
}
* bounds, which is exactly what we want.
*/
ret = index234(t, idx);
- if (ret && index) *index = idx;
+ if (ret && index)
+ *index = idx;
return ret;
}
-void *find234(tree234 *t, void *e, cmpfn234 cmp) {
+void *find234(tree234 * t, void *e, cmpfn234 cmp)
+{
return findrelpos234(t, e, cmp, REL234_EQ, NULL);
}
-void *findrel234(tree234 *t, void *e, cmpfn234 cmp, int relation) {
+void *findrel234(tree234 * t, void *e, cmpfn234 cmp, int relation)
+{
return findrelpos234(t, e, cmp, relation, NULL);
}
-void *findpos234(tree234 *t, void *e, cmpfn234 cmp, int *index) {
+void *findpos234(tree234 * t, void *e, cmpfn234 cmp, int *index)
+{
return findrelpos234(t, e, cmp, REL234_EQ, index);
}
* Delete an element e in a 2-3-4 tree. Does not free the element,
* merely removes all links to it from the tree nodes.
*/
-static void *delpos234_internal(tree234 *t, int index) {
+static void *delpos234_internal(tree234 * t, int index)
+{
node234 *n;
void *retval;
int ei = -1;
LOG(("deleting item %d from tree %p\n", index, t));
while (1) {
while (n) {
- int c;
int ki;
node234 *sub;
- LOG((" node %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d index=%d\n",
- n,
- n->kids[0], n->counts[0], n->elems[0],
- n->kids[1], n->counts[1], n->elems[1],
- n->kids[2], n->counts[2], n->elems[2],
- n->kids[3], n->counts[3],
- index));
+ LOG(
+ (" node %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d index=%d\n",
+ n, n->kids[0], n->counts[0], n->elems[0], n->kids[1],
+ n->counts[1], n->elems[1], n->kids[2], n->counts[2],
+ n->elems[2], n->kids[3], n->counts[3], index));
if (index < n->counts[0]) {
ki = 0;
- } else if (index -= n->counts[0]+1, index < 0) {
- ei = 0; break;
+ } else if (index -= n->counts[0] + 1, index < 0) {
+ ei = 0;
+ break;
} else if (index < n->counts[1]) {
ki = 1;
- } else if (index -= n->counts[1]+1, index < 0) {
- ei = 1; break;
+ } else if (index -= n->counts[1] + 1, index < 0) {
+ ei = 1;
+ break;
} else if (index < n->counts[2]) {
ki = 2;
- } else if (index -= n->counts[2]+1, index < 0) {
- ei = 2; break;
+ } else if (index -= n->counts[2] + 1, index < 0) {
+ ei = 2;
+ break;
} else {
ki = 3;
}
sub = n->kids[ki];
if (!sub->elems[1]) {
LOG((" subtree has only one element!\n", ki));
- if (ki > 0 && n->kids[ki-1]->elems[1]) {
+ if (ki > 0 && n->kids[ki - 1]->elems[1]) {
/*
* Case 3a, left-handed variant. Child ki has
* only one element, but child ki-1 has two or
* / \ -> / \
* [more] a A b B c d D e [more] a A b c C d D e
*/
- node234 *sib = n->kids[ki-1];
+ node234 *sib = n->kids[ki - 1];
int lastelem = (sib->elems[2] ? 2 :
sib->elems[1] ? 1 : 0);
sub->kids[2] = sub->kids[1];
sub->elems[1] = sub->elems[0];
sub->kids[1] = sub->kids[0];
sub->counts[1] = sub->counts[0];
- sub->elems[0] = n->elems[ki-1];
- sub->kids[0] = sib->kids[lastelem+1];
- sub->counts[0] = sib->counts[lastelem+1];
- if (sub->kids[0]) sub->kids[0]->parent = sub;
- n->elems[ki-1] = sib->elems[lastelem];
- sib->kids[lastelem+1] = NULL;
- sib->counts[lastelem+1] = 0;
+ sub->elems[0] = n->elems[ki - 1];
+ sub->kids[0] = sib->kids[lastelem + 1];
+ sub->counts[0] = sib->counts[lastelem + 1];
+ if (sub->kids[0])
+ sub->kids[0]->parent = sub;
+ n->elems[ki - 1] = sib->elems[lastelem];
+ sib->kids[lastelem + 1] = NULL;
+ sib->counts[lastelem + 1] = 0;
sib->elems[lastelem] = NULL;
n->counts[ki] = countnode234(sub);
LOG((" case 3a left\n"));
- LOG((" index and left subtree count before adjustment: %d, %d\n",
- index, n->counts[ki-1]));
- index += n->counts[ki-1];
- n->counts[ki-1] = countnode234(sib);
- index -= n->counts[ki-1];
- LOG((" index and left subtree count after adjustment: %d, %d\n",
- index, n->counts[ki-1]));
- } else if (ki < 3 && n->kids[ki+1] &&
- n->kids[ki+1]->elems[1]) {
+ LOG(
+ (" index and left subtree count before adjustment: %d, %d\n",
+ index, n->counts[ki - 1]));
+ index += n->counts[ki - 1];
+ n->counts[ki - 1] = countnode234(sib);
+ index -= n->counts[ki - 1];
+ LOG(
+ (" index and left subtree count after adjustment: %d, %d\n",
+ index, n->counts[ki - 1]));
+ } else if (ki < 3 && n->kids[ki + 1]
+ && n->kids[ki + 1]->elems[1]) {
/*
* Case 3a, right-handed variant. ki has only
* one element but ki+1 has two or more. Move a
* / \ -> / \
* a A b c C d D e [more] a A b B c d D e [more]
*/
- node234 *sib = n->kids[ki+1];
+ node234 *sib = n->kids[ki + 1];
int j;
sub->elems[1] = n->elems[ki];
sub->kids[2] = sib->kids[0];
sub->counts[2] = sib->counts[0];
- if (sub->kids[2]) sub->kids[2]->parent = sub;
+ if (sub->kids[2])
+ sub->kids[2]->parent = sub;
n->elems[ki] = sib->elems[0];
sib->kids[0] = sib->kids[1];
sib->counts[0] = sib->counts[1];
- for (j = 0; j < 2 && sib->elems[j+1]; j++) {
- sib->kids[j+1] = sib->kids[j+2];
- sib->counts[j+1] = sib->counts[j+2];
- sib->elems[j] = sib->elems[j+1];
+ for (j = 0; j < 2 && sib->elems[j + 1]; j++) {
+ sib->kids[j + 1] = sib->kids[j + 2];
+ sib->counts[j + 1] = sib->counts[j + 2];
+ sib->elems[j] = sib->elems[j + 1];
}
- sib->kids[j+1] = NULL;
- sib->counts[j+1] = 0;
+ sib->kids[j + 1] = NULL;
+ sib->counts[j + 1] = 0;
sib->elems[j] = NULL;
n->counts[ki] = countnode234(sub);
- n->counts[ki+1] = countnode234(sib);
+ n->counts[ki + 1] = countnode234(sib);
LOG((" case 3a right\n"));
} else {
/*
index += n->counts[ki] + 1;
}
sib = n->kids[ki];
- sub = n->kids[ki+1];
+ sub = n->kids[ki + 1];
sub->kids[3] = sub->kids[1];
sub->counts[3] = sub->counts[1];
sub->elems[1] = n->elems[ki];
sub->kids[1] = sib->kids[1];
sub->counts[1] = sib->counts[1];
- if (sub->kids[1]) sub->kids[1]->parent = sub;
+ if (sub->kids[1])
+ sub->kids[1]->parent = sub;
sub->elems[0] = sib->elems[0];
sub->kids[0] = sib->kids[0];
sub->counts[0] = sib->counts[0];
- if (sub->kids[0]) sub->kids[0]->parent = sub;
+ if (sub->kids[0])
+ sub->kids[0]->parent = sub;
- n->counts[ki+1] = countnode234(sub);
+ n->counts[ki + 1] = countnode234(sub);
sfree(sib);
* That's built the big node in sub. Now we
* need to remove the reference to sib in n.
*/
- for (j = ki; j < 3 && n->kids[j+1]; j++) {
- n->kids[j] = n->kids[j+1];
- n->counts[j] = n->counts[j+1];
- n->elems[j] = j<2 ? n->elems[j+1] : NULL;
+ for (j = ki; j < 3 && n->kids[j + 1]; j++) {
+ n->kids[j] = n->kids[j + 1];
+ n->counts[j] = n->counts[j + 1];
+ n->elems[j] = j < 2 ? n->elems[j + 1] : NULL;
}
n->kids[j] = NULL;
n->counts[j] = 0;
- if (j < 3) n->elems[j] = NULL;
+ if (j < 3)
+ n->elems[j] = NULL;
LOG((" case 3b ki=%d\n", ki));
if (!n->elems[0]) {
if (!retval)
retval = n->elems[ei];
- if (ei==-1)
+ if (ei == -1)
return NULL; /* although this shouldn't happen */
/*
*/
int i;
LOG((" case 1\n"));
- for (i = ei; i < 2 && n->elems[i+1]; i++)
- n->elems[i] = n->elems[i+1];
+ for (i = ei; i < 2 && n->elems[i + 1]; i++)
+ n->elems[i] = n->elems[i + 1];
n->elems[i] = NULL;
/*
* Having done that to the leaf node, we now go back up
while (m->kids[0]) {
m = (m->kids[3] ? m->kids[3] :
m->kids[2] ? m->kids[2] :
- m->kids[1] ? m->kids[1] : m->kids[0]);
+ m->kids[1] ? m->kids[1] : m->kids[0]);
}
target = (m->elems[2] ? m->elems[2] :
m->elems[1] ? m->elems[1] : m->elems[0]);
n->elems[ei] = target;
- index = n->counts[ei]-1;
+ index = n->counts[ei] - 1;
n = n->kids[ei];
- } else if (n->kids[ei+1]->elems[1]) {
+ } else if (n->kids[ei + 1]->elems[1]) {
/*
* Case 2b, symmetric to 2a but s/left/right/ and
* s/predecessor/successor/. (And s/largest/smallest/).
*/
- node234 *m = n->kids[ei+1];
+ node234 *m = n->kids[ei + 1];
void *target;
LOG((" case 2b\n"));
while (m->kids[0]) {
}
target = m->elems[0];
n->elems[ei] = target;
- n = n->kids[ei+1];
+ n = n->kids[ei + 1];
index = 0;
} else {
/*
* in the middle, then restart the deletion process on
* that subtree, with e still as target.
*/
- node234 *a = n->kids[ei], *b = n->kids[ei+1];
+ node234 *a = n->kids[ei], *b = n->kids[ei + 1];
int j;
LOG((" case 2c\n"));
a->elems[1] = n->elems[ei];
a->kids[2] = b->kids[0];
a->counts[2] = b->counts[0];
- if (a->kids[2]) a->kids[2]->parent = a;
+ if (a->kids[2])
+ a->kids[2]->parent = a;
a->elems[2] = b->elems[0];
a->kids[3] = b->kids[1];
a->counts[3] = b->counts[1];
- if (a->kids[3]) a->kids[3]->parent = a;
+ if (a->kids[3])
+ a->kids[3]->parent = a;
sfree(b);
n->counts[ei] = countnode234(a);
/*
* That's built the big node in a, and destroyed b. Now
* remove the reference to b (and e) in n.
*/
- for (j = ei; j < 2 && n->elems[j+1]; j++) {
- n->elems[j] = n->elems[j+1];
- n->kids[j+1] = n->kids[j+2];
- n->counts[j+1] = n->counts[j+2];
+ for (j = ei; j < 2 && n->elems[j + 1]; j++) {
+ n->elems[j] = n->elems[j + 1];
+ n->kids[j + 1] = n->kids[j + 2];
+ n->counts[j + 1] = n->counts[j + 2];
}
n->elems[j] = NULL;
- n->kids[j+1] = NULL;
- n->counts[j+1] = 0;
- /*
- * It's possible, in this case, that we've just removed
- * the only element in the root of the tree. If so,
- * shift the root.
- */
- if (n->elems[0] == NULL) {
- LOG((" shifting root!\n"));
- t->root = a;
- a->parent = NULL;
- sfree(n);
- }
+ n->kids[j + 1] = NULL;
+ n->counts[j + 1] = 0;
+ /*
+ * It's possible, in this case, that we've just removed
+ * the only element in the root of the tree. If so,
+ * shift the root.
+ */
+ if (n->elems[0] == NULL) {
+ LOG((" shifting root!\n"));
+ t->root = a;
+ a->parent = NULL;
+ sfree(n);
+ }
/*
* Now go round the deletion process again, with n
* pointing at the new big node and e still the same.
}
}
}
-void *delpos234(tree234 *t, int index) {
+void *delpos234(tree234 * t, int index)
+{
if (index < 0 || index >= countnode234(t->root))
return NULL;
return delpos234_internal(t, index);
}
-void *del234(tree234 *t, void *e) {
+void *del234(tree234 * t, void *e)
+{
int index;
if (!findrelpos234(t, e, NULL, REL234_EQ, &index))
return NULL; /* it wasn't in there anyway */
- return delpos234_internal(t, index); /* it's there; delete it. */
+ return delpos234_internal(t, index); /* it's there; delete it. */
}
#ifdef TEST
/*
* Error reporting function.
*/
-void error(char *fmt, ...) {
+void error(char *fmt, ...)
+{
va_list ap;
printf("ERROR: ");
va_start(ap, fmt);
int elemcount;
} chkctx;
-int chknode(chkctx *ctx, int level, node234 *node,
- void *lowbound, void *highbound) {
+int chknode(chkctx * ctx, int level, node234 * node,
+ void *lowbound, void *highbound)
+{
int nkids, nelems;
int i;
int count;
for (nkids = 0; nkids < 4 && node->kids[nkids]; nkids++);
/* Ensure no kids beyond the first NULL are non-NULL. */
for (i = nkids; i < 4; i++)
- if (node->kids[i]) {
- error("node %p: nkids=%d but kids[%d] non-NULL",
- node, nkids, i);
- } else if (node->counts[i]) {
- error("node %p: kids[%d] NULL but count[%d]=%d nonzero",
- node, i, i, node->counts[i]);
+ if (node->kids[i]) {
+ error("node %p: nkids=%d but kids[%d] non-NULL",
+ node, nkids, i);
+ } else if (node->counts[i]) {
+ error("node %p: kids[%d] NULL but count[%d]=%d nonzero",
+ node, i, i, node->counts[i]);
}
/* Count the non-NULL elements. */
for (nelems = 0; nelems < 3 && node->elems[nelems]; nelems++);
/* Ensure no elements beyond the first NULL are non-NULL. */
for (i = nelems; i < 3; i++)
- if (node->elems[i]) {
- error("node %p: nelems=%d but elems[%d] non-NULL",
- node, nelems, i);
- }
+ if (node->elems[i]) {
+ error("node %p: nelems=%d but elems[%d] non-NULL",
+ node, nelems, i);
+ }
if (nkids == 0) {
- /*
- * If nkids==0, this is a leaf node; verify that the tree
- * depth is the same everywhere.
- */
- if (ctx->treedepth < 0)
- ctx->treedepth = level; /* we didn't know the depth yet */
- else if (ctx->treedepth != level)
- error("node %p: leaf at depth %d, previously seen depth %d",
- node, level, ctx->treedepth);
+ /*
+ * If nkids==0, this is a leaf node; verify that the tree
+ * depth is the same everywhere.
+ */
+ if (ctx->treedepth < 0)
+ ctx->treedepth = level; /* we didn't know the depth yet */
+ else if (ctx->treedepth != level)
+ error("node %p: leaf at depth %d, previously seen depth %d",
+ node, level, ctx->treedepth);
} else {
- /*
- * If nkids != 0, then it should be nelems+1, unless nelems
- * is 0 in which case nkids should also be 0 (and so we
- * shouldn't be in this condition at all).
- */
- int shouldkids = (nelems ? nelems+1 : 0);
- if (nkids != shouldkids) {
- error("node %p: %d elems should mean %d kids but has %d",
- node, nelems, shouldkids, nkids);
- }
+ /*
+ * If nkids != 0, then it should be nelems+1, unless nelems
+ * is 0 in which case nkids should also be 0 (and so we
+ * shouldn't be in this condition at all).
+ */
+ int shouldkids = (nelems ? nelems + 1 : 0);
+ if (nkids != shouldkids) {
+ error("node %p: %d elems should mean %d kids but has %d",
+ node, nelems, shouldkids, nkids);
+ }
}
/*
* nelems should be at least 1.
*/
if (nelems == 0) {
- error("node %p: no elems", node, nkids);
+ error("node %p: no elems", node, nkids);
}
/*
if (cmp) {
for (i = -1; i < nelems; i++) {
void *lower = (i == -1 ? lowbound : node->elems[i]);
- void *higher = (i+1 == nelems ? highbound : node->elems[i+1]);
+ void *higher =
+ (i + 1 == nelems ? highbound : node->elems[i + 1]);
if (lower && higher && cmp(lower, higher) >= 0) {
error("node %p: kid comparison [%d=%s,%d=%s] failed",
- node, i, lower, i+1, higher);
+ node, i, lower, i + 1, higher);
}
}
}
* parent pointer coming back to this node.
*/
for (i = 0; i < nkids; i++)
- if (node->kids[i]->parent != node) {
- error("node %p kid %d: parent ptr is %p not %p",
- node, i, node->kids[i]->parent, node);
- }
+ if (node->kids[i]->parent != node) {
+ error("node %p kid %d: parent ptr is %p not %p",
+ node, i, node->kids[i]->parent, node);
+ }
/*
count = nelems;
for (i = 0; i < nkids; i++) {
- void *lower = (i == 0 ? lowbound : node->elems[i-1]);
- void *higher = (i >= nelems ? highbound : node->elems[i]);
- int subcount = chknode(ctx, level+1, node->kids[i], lower, higher);
+ void *lower = (i == 0 ? lowbound : node->elems[i - 1]);
+ void *higher = (i >= nelems ? highbound : node->elems[i]);
+ int subcount =
+ chknode(ctx, level + 1, node->kids[i], lower, higher);
if (node->counts[i] != subcount) {
error("node %p kid %d: count says %d, subtree really has %d",
node, i, node->counts[i], subcount);
}
- count += subcount;
+ count += subcount;
}
return count;
}
-void verify(void) {
+void verify(void)
+{
chkctx ctx;
int i;
void *p;
- ctx.treedepth = -1; /* depth unknown yet */
- ctx.elemcount = 0; /* no elements seen yet */
+ ctx.treedepth = -1; /* depth unknown yet */
+ ctx.elemcount = 0; /* no elements seen yet */
/*
* Verify validity of tree properties.
*/
if (tree->root) {
if (tree->root->parent != NULL)
error("root->parent is %p should be null", tree->root->parent);
- chknode(&ctx, 0, tree->root, NULL, NULL);
+ chknode(&ctx, 0, tree->root, NULL, NULL);
}
printf("tree depth: %d\n", ctx.treedepth);
/*
* Enumerate the tree and ensure it matches up to the array.
*/
for (i = 0; NULL != (p = index234(tree, i)); i++) {
- if (i >= arraylen)
- error("tree contains more than %d elements", arraylen);
- if (array[i] != p)
- error("enum at position %d: array says %s, tree says %s",
- i, array[i], p);
+ if (i >= arraylen)
+ error("tree contains more than %d elements", arraylen);
+ if (array[i] != p)
+ error("enum at position %d: array says %s, tree says %s",
+ i, array[i], p);
}
if (ctx.elemcount != i) {
- error("tree really contains %d elements, enum gave %d",
- ctx.elemcount, i);
+ error("tree really contains %d elements, enum gave %d",
+ ctx.elemcount, i);
}
if (i < arraylen) {
- error("enum gave only %d elements, array has %d", i, arraylen);
+ error("enum gave only %d elements, array has %d", i, arraylen);
}
i = count234(tree);
if (ctx.elemcount != i) {
- error("tree really contains %d elements, count234 gave %d",
+ error("tree really contains %d elements, count234 gave %d",
ctx.elemcount, i);
}
}
-void internal_addtest(void *elem, int index, void *realret) {
+void internal_addtest(void *elem, int index, void *realret)
+{
int i, j;
void *retval;
- if (arraysize < arraylen+1) {
- arraysize = arraylen+1+256;
- array = (array == NULL ? smalloc(arraysize*sizeof(*array)) :
- srealloc(array, arraysize*sizeof(*array)));
+ if (arraysize < arraylen + 1) {
+ arraysize = arraylen + 1 + 256;
+ array = (array == NULL ? smalloc(arraysize * sizeof(*array)) :
+ srealloc(array, arraysize * sizeof(*array)));
}
i = index;
/* now i points to the first element >= elem */
- retval = elem; /* expect elem returned (success) */
+ retval = elem; /* expect elem returned (success) */
for (j = arraylen; j > i; j--)
- array[j] = array[j-1];
- array[i] = elem; /* add elem to array */
+ array[j] = array[j - 1];
+ array[i] = elem; /* add elem to array */
arraylen++;
if (realret != retval) {
- error("add: retval was %p expected %p", realret, retval);
+ error("add: retval was %p expected %p", realret, retval);
}
verify();
}
-void addtest(void *elem) {
+void addtest(void *elem)
+{
int i;
void *realret;
i = 0;
while (i < arraylen && cmp(elem, array[i]) > 0)
- i++;
+ i++;
if (i < arraylen && !cmp(elem, array[i])) {
- void *retval = array[i]; /* expect that returned not elem */
+ void *retval = array[i]; /* expect that returned not elem */
if (realret != retval) {
error("add: retval was %p expected %p", realret, retval);
}
internal_addtest(elem, i, realret);
}
-void addpostest(void *elem, int i) {
+void addpostest(void *elem, int i)
+{
void *realret;
realret = addpos234(tree, elem, i);
internal_addtest(elem, i, realret);
}
-void delpostest(int i) {
+void delpostest(int i)
+{
int index = i;
void *elem = array[i], *ret;
/* i points to the right element */
- while (i < arraylen-1) {
- array[i] = array[i+1];
+ while (i < arraylen - 1) {
+ array[i] = array[i + 1];
i++;
}
arraylen--; /* delete elem from array */
verify();
}
-void deltest(void *elem) {
+void deltest(void *elem)
+{
int i;
i = 0;
while (i < arraylen && cmp(elem, array[i]) > 0)
- i++;
+ i++;
if (i >= arraylen || cmp(elem, array[i]) != 0)
- return; /* don't do it! */
+ return; /* don't do it! */
delpostest(i);
}
* given in ANSI C99 draft N869. It assumes `unsigned' is 32 bits;
* change it if not.
*/
-int randomnumber(unsigned *seed) {
+int randomnumber(unsigned *seed)
+{
*seed *= 1103515245;
*seed += 12345;
return ((*seed) / 65536) % 32768;
}
-int mycmp(void *av, void *bv) {
- char const *a = (char const *)av;
- char const *b = (char const *)bv;
+int mycmp(void *av, void *bv)
+{
+ char const *a = (char const *) av;
+ char const *b = (char const *) bv;
return strcmp(a, b);
}
#define NSTR lenof(strings)
-int findtest(void) {
+int findtest(void)
+{
const static int rels[] = {
REL234_EQ, REL234_GE, REL234_LE, REL234_LT, REL234_GT
};
for (i = 0; i < NSTR; i++) {
p = strings[i];
- for (j = 0; j < sizeof(rels)/sizeof(*rels); j++) {
+ for (j = 0; j < sizeof(rels) / sizeof(*rels); j++) {
rel = rels[j];
- lo = 0; hi = arraylen-1;
+ lo = 0;
+ hi = arraylen - 1;
while (lo <= hi) {
mid = (lo + hi) / 2;
c = strcmp(p, array[mid]);
if (c < 0)
- hi = mid-1;
+ hi = mid - 1;
else if (c > 0)
- lo = mid+1;
+ lo = mid + 1;
else
break;
}
if (rel == REL234_LT)
ret = (mid > 0 ? array[--mid] : NULL);
else if (rel == REL234_GT)
- ret = (mid < arraylen-1 ? array[++mid] : NULL);
+ ret = (mid < arraylen - 1 ? array[++mid] : NULL);
else
ret = array[mid];
} else {
- assert(lo == hi+1);
+ assert(lo == hi + 1);
if (rel == REL234_LT || rel == REL234_LE) {
mid = hi;
ret = (hi >= 0 ? array[hi] : NULL);
error("find(NULL,GT) gave %s(%d) should be %s(0)",
realret, index, array[0]);
} else if (!arraylen && (realret != NULL)) {
- error("find(NULL,GT) gave %s(%d) should be NULL",
- realret, index);
+ error("find(NULL,GT) gave %s(%d) should be NULL", realret, index);
}
realret = findrelpos234(tree, NULL, NULL, REL234_LT, &index);
- if (arraylen && (realret != array[arraylen-1] || index != arraylen-1)) {
- error("find(NULL,LT) gave %s(%d) should be %s(0)",
- realret, index, array[arraylen-1]);
+ if (arraylen
+ && (realret != array[arraylen - 1] || index != arraylen - 1)) {
+ error("find(NULL,LT) gave %s(%d) should be %s(0)", realret, index,
+ array[arraylen - 1]);
} else if (!arraylen && (realret != NULL)) {
- error("find(NULL,LT) gave %s(%d) should be NULL",
- realret, index);
+ error("find(NULL,LT) gave %s(%d) should be NULL", realret, index);
}
}
-int main(void) {
+int main(void)
+{
int in[NSTR];
int i, j, k;
unsigned seed = 0;
- for (i = 0; i < NSTR; i++) in[i] = 0;
+ for (i = 0; i < NSTR; i++)
+ in[i] = 0;
array = NULL;
arraylen = arraysize = 0;
tree = newtree234(mycmp);
verify();
for (i = 0; i < 10000; i++) {
- j = randomnumber(&seed);
- j %= NSTR;
- printf("trial: %d\n", i);
- if (in[j]) {
- printf("deleting %s (%d)\n", strings[j], j);
- deltest(strings[j]);
- in[j] = 0;
- } else {
- printf("adding %s (%d)\n", strings[j], j);
- addtest(strings[j]);
- in[j] = 1;
- }
+ j = randomnumber(&seed);
+ j %= NSTR;
+ printf("trial: %d\n", i);
+ if (in[j]) {
+ printf("deleting %s (%d)\n", strings[j], j);
+ deltest(strings[j]);
+ in[j] = 0;
+ } else {
+ printf("adding %s (%d)\n", strings[j], j);
+ addtest(strings[j]);
+ in[j] = 1;
+ }
findtest();
}
while (arraylen > 0) {
- j = randomnumber(&seed);
- j %= arraylen;
- deltest(array[j]);
+ j = randomnumber(&seed);
+ j %= arraylen;
+ deltest(array[j]);
}
freetree234(tree);
j = randomnumber(&seed);
j %= NSTR;
k = randomnumber(&seed);
- k %= count234(tree)+1;
+ k %= count234(tree) + 1;
printf("adding string %s at index %d\n", strings[j], k);
addpostest(strings[j], k);
}