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NAME

       tdelete, tfind, tsearch, twalk - manage a binary search tree

SYNOPSIS

       #include <search.h>

       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.

       The following sections are informative.

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() , lsearch() , the Base Definitions volume of IEEE Std 1003.1-2001, <search.h>

COPYRIGHT

       Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition,
       Standard  for  Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base
       Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers,
       Inc and The Open Group. In the event of any discrepancy between this version and the  original  IEEE  and
       The  Open  Group  Standard,  the  original  IEEE and The Open Group Standard is the referee document. The
       original Standard can be obtained online at http://www.opengroup.org/unix/online.html .

IEEE/The Open Group                                   2003                                            TDELETE(P)