NAME
tdelete tfind
tsearch twalk —
manage a binary search tree
SYNOPSIS
void *tdelete(const void *restrict key, void **restrict rootp,
int(*compar)(const void *, const void *));
void *tfind(const void *key, void *const *rootp,
int(*compar)(const void *, const void *));
void *tsearch(const void *key, void **rootp,
int (*compar)(const void *, const void *));
void twalk(const void *root,
void (*action)(const void *, VISIT, int));
DESCRIPTION
The tdelete (), tfind
(), tsearch (), and twalk ()
functions manipulate binary search trees. Comparisons are made with a
user-supplied routine, the address of which is passed as the
compar argument. This routine is called with two
arguments, which are the pointers to the elements being compared. The
application shall ensure that the user-supplied routine returns an integer
less than, equal to, or greater than 0, according to whether the first
argument is to be considered less than, equal to, or greater than the second
argument. The comparison function need not compare every byte, so arbitrary
data may be contained in the elements in addition to the values being
compared.
The tsearch () function shall build and
access the tree. The key argument is a pointer to an
element to be accessed or stored. If there is a node in the tree whose
element is equal to the value pointed to by key, a pointer
to this found node shall be returned. Otherwise, the value pointed to by
key shall be inserted (that is, a new node is created and
the value of key is copied to this node), and a pointer to
this node returned. Only pointers are copied, so the application shall
ensure that the calling routine stores the data. The rootp
argument points to a variable that points to the root node of the tree. A
null pointer value for the variable pointed to by rootp
denotes an empty tree; in this case, the variable shall be set to point to
the node which shall be at the root of the new tree.
Like tsearch (), tfind
() shall search for a node in the tree, returning a pointer to it if found.
However, if it is not found, tfind () shall return a null
pointer. The arguments for tfind () are the same as for
tsearch ().
The tdelete () function shall delete a
node from a binary search tree. The arguments are the same as for
tsearch (). The variable pointed to by
rootp shall be changed if the deleted node was the root of
the tree. If the deleted node was the root of the tree and had no children,
the variable pointed to by rootp shall be set to a null
pointer. The tdelete () function shall return a
pointer to the parent of the deleted node, or an unspecified non-null
pointer if the deleted node was the root node, or a null pointer if the node
is not found.
If tsearch () adds an element to a tree,
or tdelete () successfully deletes an element from a
tree, the concurrent use of that tree in another thread, or use of pointers
produced by a previous call to tfind () or
tsearch (), produces undefined results.
The twalk () function shall traverse a binary search tree. The root argument is a pointer to the root node of the tree to be traversed. (Any node in a tree may be used as the root for a walk below that node.) The argument action is the name of a routine to be invoked at each node. This routine is, in turn, called with three arguments. The first argument shall be the address of the node being visited. The structure pointed to by this argument is unspecified and shall not be modified by the application, but it shall be possible to cast a pointer-to-node into a pointer-to-pointer-to-element to access the element stored in the node. The second argument shall be a value from an enumeration data type:
typedef enum { preorder, postorder, endorder, leaf } VISIT;
(defined in <search.h>), depending on whether this is the first, second, or third time that the node is visited (during a depth-first, left-to-right traversal of the tree), or whether the node is a leaf. The third argument shall be the level of the node in the tree, with the root being level 0.
If the calling function alters the pointer to the root, the result is undefined.
If the functions pointed to by action or compar (for any of these binary search functions) change the tree, the results are undefined.
These functions are thread-safe only as long as multiple threads do not access the same tree.
RETURN VALUE
If the node is found, both tsearch () and
tfind () shall return a pointer to it. If not,
tfind () shall return a null pointer, and
tsearch () shall return a pointer to the inserted
item.
A null pointer shall be returned by
tsearch () if there is not enough space available to
create a new node.
A null pointer shall be returned by
tdelete (), tfind (), and
tsearch () if rootp is a null
pointer on entry.
The tdelete () function shall return a
pointer to the parent of the deleted node, or an unspecified non-null
pointer if the deleted node was the root node, or a null pointer if the node
is not found.
The twalk () function shall not return a value.
ERRORS
No errors are defined.
EXAMPLES
The following code reads in strings and stores structures containing a pointer to each string and a count of its length. It then walks the tree, printing out the stored strings and their lengths in alphabetical order.
#include <limits.h>
#include <search.h>
#include <stdlib.h>
#include <string.h>
#include <stdio.h>
struct element { /* Pointers to these are stored in the tree. */
int count;
char string[];
};
void *root = NULL; /* This points to the root. */
int main(void)
{
char str[_POSIX2_LINE_MAX+1];
int length = 0;
struct element *elementptr;
void *node;
void print_node(const void *, VISIT, int);
int node_compare(const void *, const void *),
delete_root(const void *, const void *);
while (fgets(str, sizeof(str), stdin)) {
/* Set element. */
length = strlen(str);
if (str[length-1] == '\n')
str[--length] = '\0';
elementptr = malloc(sizeof(struct element) + length + 1);
strcpy(elementptr->string, str);
elementptr->count = 1;
/* Put element into the tree. */
node = tsearch((void *)elementptr, &root, node_compare);
if (node == NULL) {
fprintf(stderr,
"tsearch: Not enough space available\n");
exit(EXIT_FAILURE);
}
else if (*(struct element **)node != elementptr) {
/* A node containing the element already exists */
(*(struct element **)node)->count++;
free(elementptr);
}
}
twalk(root, print_node);
/* Delete all nodes in the tree */
while (root != NULL) {
elementptr = *(struct element **)root;
printf("deleting node: string = %s, count = %d\n",
elementptr->string,
elementptr->count);
tdelete((void *)elementptr, &root, delete_root);
free(elementptr);
}
return 0;
}
/*
* This routine compares two nodes, based on an
* alphabetical ordering of the string field.
*/
int
node_compare(const void *node1, const void *node2)
{
return strcmp(((const struct element *) node1)->string,
((const struct element *) node2)->string);
}
/*
* This comparison routine can be used with tdelete()
* when explicitly deleting a root node, as no comparison
* is necessary.
*/
int
delete_root(const void *node1, const void *node2)
{
return 0;
}
/*
* This routine prints out a node, the second time
* twalk encounters it or if it is a leaf.
*/
void
print_node(const void *ptr, VISIT order, int level)
{
const struct element *p = *(const struct element **) ptr;
if (order == postorder || order == leaf) {
(void) printf("string = %s, count = %d\n",
p->string, p->count);
}
}
APPLICATION USAGE
The root argument to twalk ()
is one level of indirection less than the rootp arguments
to tdelete () and tsearch
().
There are two nomenclatures used to refer to the order in which tree nodes are visited. The twalk () function uses preorder, postorder, and endorder to refer respectively to visiting a node before any of its children, after its left child and before its right, and after both its children. The alternative nomenclature uses preorder, inorder, and postorder to refer to the same visits, which could result in some confusion over the meaning of postorder.
Since the return value of tdelete () is an
unspecified non-null pointer in the case that the root of the tree has been
deleted, applications should only use the return value of
tdelete () as indication of success or failure and
should not assume it can be dereferenced. Some implementations in this case
will return a pointer to the new root of the tree (or to an empty tree if
the deleted root node was the only node in the tree); other implementations
return arbitrary non-null pointers.
RATIONALE
None.
FUTURE DIRECTIONS
None.
SEE ALSO
XBD <search.h>
CHANGE HISTORY
First released in Issue 1. Derived from Issue 1 of the SVID.
Issue 5
The last paragraph of the DESCRIPTION was included as an APPLICATION USAGE note in previous issues.
Issue 6
The normative text is updated to avoid use of the term "must" for application requirements.
The
restrict keyword
is added to the tdelete () prototype for alignment
with the ISO/IEC 9899:1999
(“ISO C99”) standard.
Issue 7
Austin Group Interpretation 1003.1-2001 #149 is applied, clarifying concurrent use of the tree in another thread.
Austin Group Interpretation 1003.1-2001 #151 is applied,
clarifying behavior for tdelete () when the deleted
node is the root node.
Austin Group Interpretation 1003.1-2001 #153 is applied.
POSIX.1-2008, Technical Corrigendum 2, XSH/TC2-2008/0366 [551] is applied.