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. The tdelete () function shall return a
pointer to the parent of the deleted node, or a null pointer if the node is
not found.
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.
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 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 <search.h>
#include <string.h>
#include <stdio.h>
#define STRSZ 10000
#define NODSZ 500
struct node { /* Pointers to these are stored in the tree. */
char *string;
int length;
};
char string_space[STRSZ]; /* Space to store strings. */
struct node nodes[NODSZ]; /* Nodes to store. */
void *root = NULL; /* This points to the root. */
int main(int argc, char *argv[])
{
char *strptr = string_space;
struct node *nodeptr = nodes;
void print_node(const void *, VISIT, int);
int i = 0, node_compare(const void *, const void *);
while (gets(strptr) != NULL && i++ < NODSZ) {
/* Set node. */
nodeptr->string = strptr;
nodeptr->length = strlen(strptr);
/* Put node into the tree. */
(void) tsearch((void *)nodeptr, (void **)&root,
node_compare);
/* Adjust pointers, so we do not overwrite tree. */
strptr += nodeptr->length + 1;
nodeptr++;
}
twalk(root, print_node);
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 node *) node1)->string,
((const struct node *) node2)->string);
}
/*
* 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 node *p = *(const struct node **) ptr;
if (order == postorder || order == leaf) {
(void) printf("string = %s, length = %d\n",
p->string, p->length);
}
}
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 tsearch
() 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.
RATIONALE
None.
FUTURE DIRECTIONS
None.
SEE ALSO
hcreate(3), lsearch(3), the Base Definitions volume of IEEE Std 1003.1-2001 (“POSIX.1”), <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 DESCRIPTION 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.
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