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TSEARCH(3C)							   TSEARCH(3C)

NAME
     tsearch, tfind, tdelete, twalk - manage binary search trees

SYNOPSIS
     #include <search.h>

     void *tsearch (const void *key, void **rootp,
		    int (*compar)(const void *, const void *));

     void *tfind (const void *key, void * const *rootp,
		  int (*compar)(const void *, const void *));

     void *tdelete (const void *key, void **rootp,
		    int (*compar)(const void *, const void *));

     void twalk ((const void *root, void const (*action)(void *, VISIT, int));

DESCRIPTION
     tsearch, tfind, tdelete, and twalk are routines for manipulating binary
     search trees.  They are generalized from Knuth (6.2.2) Algorithms T and
     D.	 All comparisons are done with a user-supplied routine.	 This routine
     is called with two arguments, the pointers to the elements being
     compared.	It 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.

     tsearch is used to build and access the tree.  Key is a pointer to a
     datum to be accessed or stored.  If there is a datum in the tree equal to
     *key (the value pointed to by key), a pointer to this found datum is
     returned.	Otherwise, *key is inserted, and a pointer to it returned.
     Only pointers are copied, so the calling routine must store the data.
     Rootp points to a variable that points to the root of the tree.  A NULL
     value for the variable pointed to by rootp denotes an empty tree; in this
     case, the variable will be set to point to the datum which will be at the
     root of the new tree.

     Like tsearch, tfind will search for a datum in the tree, returning a
     pointer to it if found.  However, if it is not found, tfind will return a
     NULL pointer.  The arguments for tfind are the same as for tsearch.

     Tdelete deletes a node from a binary search tree.	The arguments are the
     same as for tsearch.  The variable pointed to by rootp will be changed if
     the deleted node was the root of the tree.	 Tdelete returns a pointer to
     the parent of the deleted node, or a NULL pointer if the node is not
     found.

     Twalk traverses a binary search tree.  Root is the root of the tree to be
     traversed.	 (Any node in a tree may be used as the root for a walk below
     that node.)  Action is the name of a routine to be invoked at each node.
     This routine is, in turn, called with three arguments.  The first

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TSEARCH(3C)							   TSEARCH(3C)

     argument is the address of the node being visited.	 The second argument
     is a value from an enumeration data type typedef enum { preorder,
     postorder, endorder, leaf } VISIT; (defined in the <search.h> header
     file), depending on whether this is the first, second or third time that
     the node has been visited (during a depth-first, left-to-right traversal
     of the tree), or whether the node is a leaf.  The third argument is the
     level of the node in the tree, with the root being level zero.

     The pointers to the key and the root of the tree should be of type
     pointer-to-element, and cast to type pointer-to-character.	 Similarly,
     although declared as type pointer-to-character, the value returned should
     be cast into type pointer-to-element.

EXAMPLE
     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 <stdio.h>

	  struct node {	      /* pointers to these are stored in the tree */
	       char *string;
	       int length;
	  };
	  char string_space[10000];	/* space to store strings */
	  struct node nodes[500];  /* nodes to store */
	  struct node *root = NULL;	/* this points to the root */

	  main( )
	  {
	       char *strptr = string_space;
	       struct node *nodeptr = nodes;
	       void print_node( ), twalk( );
	       int i = 0, node_compare( );

	       while (gets(strptr) != NULL && i++ < 500)  {
		    /* set node */
		    nodeptr->string = strptr;
		    nodeptr->length = strlen(strptr);
		    /* put node into the tree */
		    (void) tsearch((char *)nodeptr, (char **) &root,
			   node_compare);
		    /* adjust pointers, so we don't overwrite tree */
		    strptr += nodeptr->length + 1;
		    nodeptr++;
	       }
	       twalk((char *)root, print_node);
	  }
	  /*
	       This routine compares two nodes, based on an

									Page 2

TSEARCH(3C)							   TSEARCH(3C)

	      alphabetical ordering of the string field.
	  */
	  int
	  node_compare(node1, node2)
	  char *node1, *node2;
	  {
	       return strcmp(((struct node *)node1)->string,
	       ((struct node *) node2)->string);
	  }
	  /*
	       This routine prints out a node, the first time
	       twalk encounters it.
	  */
	  void
	  print_node(node, order, level)
	  char **node;
	  VISIT order;
	  int level;
	  {
	       if (order == postorder || order == leaf)	 {
		    (void)printf("string = %20s,  length = %d\n",
				  (*((struct node **)node))->string,
				  (*((struct node **)node))->length);
	       }
	  }

SEE ALSO
     bsearch(3C), hsearch(3C), lsearch(3C).

DIAGNOSTICS
     A NULL pointer is returned by tsearch if there is not enough space
     available to create a new node.
     A NULL pointer is returned by tfind and tdelete if rootp is NULL on
     entry.
     If the datum is found, both tsearch and tfind return a pointer to it.  If
     not, tfind returns NULL, and tsearch returns a pointer to the inserted
     item.

WARNINGS
     The root argument to twalk is one level of indirection less than the
     rootp arguments to tsearch and tdelete.
     There are two nomenclatures used to refer to the order in which tree
     nodes are visited.	 tsearch uses preorder, postorder and endorder to
     respectively refer to visiting a node before any of its children, after
     its left child and before its right, and after both its children.	The
     alternate nomenclature uses preorder, inorder and postorder to refer to
     the same visits, which could result in some confusion over the meaning of
     postorder.

									Page 3

TSEARCH(3C)							   TSEARCH(3C)

CAVEAT
     If the calling function alters the pointer to the root, results are
     unpredictable.

									Page 4

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