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TDELETE(P)		   POSIX Programmer's Manual		    TDELETE(P)

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 com‐
       pare  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	 argu‐
       ment 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 ele‐
       ment  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,  sec‐
       ond,  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 con‐
       fusion 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)
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