tsearch

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TSEARCH(3)		  Linux Programmer’s Manual		   TSEARCH(3)



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

SYNOPSIS
       #include <search.h>

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

       void *tfind(const void *key, const void **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(*action)(const void *nodep,
					  const VISIT which,
					  const int depth));

       #define _GNU_SOURCE
       #include <search.h>

       void tdestroy (void *root, void (*free_node)(void *nodep));

DESCRIPTION
       tsearch,	 tfind,	 twalk,	 and  tdelete manage a binary tree.  They are
       generalized from Knuth (6.2.2) Algorithm T.  The first field  in	 each
       node  of	 the  tree is a pointer to the corresponding data item.	 (The
       calling program must store the actual data.)  compar points to a	 com-
       parison	routine, which takes pointers to two items.  It should return
       an integer which is negative, zero, or positive, depending on  whether
       the first item is less than, equal to, or greater than the second.

       tsearch	searches  the tree for an item.	 key points to the item to be
       searched for.  rootp points to a variable which points to the root  of
       the  tree.   If the tree is empty, then the variable that rootp points
       to should be set to NULL.  If the item is  found	 in  the  tree,	 then
       tsearch	returns	 a  pointer  to it.  If it is not found, then tsearch
       adds it, and returns a pointer to the newly added item.

       tfind is like tsearch, except that if the  item	is  not	 found,	 then
       tfind returns NULL.

       tdelete	deletes an item from the tree.	Its arguments are the same as
       for tsearch.

       twalk performs depth-first, left-to-right traversal of a binary	tree.
       root  points  to the starting node for the traversal.  If that node is
       not the root, then only part of the tree will be visited.  twalk calls
       the  user  function action each time a node is visited (that is, three
       times for an internal node, and once for a leaf).   action,  in	turn,
       takes  three arguments.	The first is a pointer to the node being vis-
       ited.  The second is an integer which takes on  the  values  preorder,
       postorder,  and	endorder depending on whether this is the first, sec-
       ond, or third visit to the internal node, or leaf if it is the  single
       visit to a leaf node.  (These symbols are defined in <search.h>.)  The
       third argument is the depth of the node, with zero being the root.

       (More commonly, preorder, postorder, and endorder are  known  as	 pre-
       order, inorder, and postorder: before visiting the children, after the
       first and before the second, and after visiting	the  children.	Thus,
       the choice of name postorder is rather confusing.)

       tdestroy	 removes  the  whole  tree  pointed  to by rootp, freeing all
       resources allocated by the tsearch function. For the data in each tree
       node  the  function  free_node  is called.  The pointer to the data is
       passed as the argument to the function. If no such work	is  necessary
       free_node must point to a function doing nothing.

RETURN VALUE
       tsearch	returns	 a  pointer to a matching item in the tree, or to the
       newly added item, or NULL if there was insufficient memory to add  the
       item.   tfind  returns  a  pointer to the item, or NULL if no match is
       found.  If there are multiple elements that match the key, the element
       returned is unspecified.

       tdelete	returns	 a pointer to the parent of the item deleted, or NULL
       if the item was not found.

       tsearch, tfind, and tdelete also return NULL  if	 rootp	was  NULL  on
       entry.

WARNINGS
       twalk  takes  a	pointer to the root, while the other functions take a
       pointer to a variable which points to the root.

       twalk uses postorder to mean "after the left subtree, but  before  the
       right  subtree".	  Some	authorities  would  call  this "inorder", and
       reserve "postorder" to mean "after both subtrees".

       tdelete frees the memory required for the node in the tree.  The	 user
       is responsible for freeing the memory for the corresponding data.

       The  example  program  depends on the fact that twalk makes no further
       reference to a node after calling  the  user  function  with  argument
       "endorder" or "leaf".  This works with the GNU library implementation,
       but is not in the SysV documentation.

EXAMPLE
       The following program inserts twelve  random  numbers  into  a  binary
       tree,  where  duplicate numbers are collapsed, then prints the numbers
       in order.

	   #include <search.h>
	   #include <stdlib.h>
	   #include <stdio.h>
	   #include <time.h>

	   void *root=NULL;

	   void *xmalloc(unsigned n) {
	     void *p;
	     p = malloc(n);
	     if(p) return p;
	     fprintf(stderr, "insufficient memory\n");
	     exit(1);
	   }

	   int compare(const void *pa, const void *pb) {
	     if(*(int *)pa < *(int *)pb) return -1;
	     if(*(int *)pa > *(int *)pb) return 1;
	     return 0;
	   }

	   void action(const void *nodep, const VISIT which, const int depth) {
	     int *datap;

	     switch(which) {
	       case preorder:
		 break;
	       case postorder:
		 datap = *(int **)nodep;
		 printf("%6d\n", *datap);
		 break;
	       case endorder:
		 break;
	       case leaf:
		 datap = *(int **)nodep;
		 printf("%6d\n", *datap);
		 break;
	     }
	   }

	   int main() {
	     int i, *ptr;
	     void *val;

	     srand(time(NULL));
	     for (i = 0; i < 12; i++) {
		 ptr = (int *)xmalloc(sizeof(int));
		 *ptr = rand()&0xff;
		 val = tsearch((void *)ptr, &root, compare);
		 if(val == NULL) exit(1);
	     }
	     twalk(root, action);
	     return 0;
	   }

CONFORMING TO
       SVID.  The function tdestroy() is a GNU extension.

SEE ALSO
       qsort(3), bsearch(3), hsearch(3), lsearch(3)




GNU				  1995-09-24			   TSEARCH(3)