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TDELETE(3P)		   POSIX Programmer's Manual		   TDELETE(3P)

PROLOG
       This  manual  page is part of the POSIX Programmer's Manual.  The Linux
       implementation of this interface may differ (consult the	 corresponding
       Linux  manual page for details of Linux behavior), or the interface may
       not be implemented on Linux.

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 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  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 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.

       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.

       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 pos‐
       torder  to  refer to the same visits, which could result in some confu‐
       sion 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 implemen‐
       tations 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
       hcreate(), lsearch()

       The Base Definitions volume of POSIX.1‐2008, <search.h>

COPYRIGHT
       Portions of this text are reprinted and reproduced in  electronic  form
       from IEEE Std 1003.1, 2013 Edition, Standard for Information Technology
       -- Portable Operating System Interface (POSIX),	The  Open  Group  Base
       Specifications Issue 7, Copyright (C) 2013 by the Institute of Electri‐
       cal and Electronics Engineers,  Inc  and	 The  Open  Group.   (This  is
       POSIX.1-2008  with  the	2013  Technical Corrigendum 1 applied.) 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.unix.org/online.html .

       Any  typographical  or  formatting  errors that appear in this page are
       most likely to have been introduced during the conversion of the source
       files  to  man page format. To report such errors, see https://www.ker‐
       nel.org/doc/man-pages/reporting_bugs.html .

IEEE/The Open Group		     2013			   TDELETE(3P)
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