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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>

       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 .