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  TSEARCH(3C)     (C Programming Language Utilities)    TSEARCH(3C)



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

  SYNOPSIS
       #include <search.h>

       char *tsearch ((char *) key, (char **) rootp, compar)
       int (*compar)( );

       char *tfind ((char *) key, (char **) rootp, compar)
       int (*compar)( );

       char *tdelete ((char *) key, (char **) rootp, compar)
       int (*compar)( );

       void twalk ((char *) root, action)
       void (*action)( );

  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


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  TSEARCH(3C)     (C Programming Language Utilities)    TSEARCH(3C)



       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 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.


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  TSEARCH(3C)     (C Programming Language Utilities)    TSEARCH(3C)



            #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
                 alphabetical ordering of the string field.
            */
            int
            node_compare(node1, node2)
            char *node1, *node2;
            {
                 return strcmp(((struct node *)node1)->string,


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  TSEARCH(3C)     (C Programming Language Utilities)    TSEARCH(3C)



                 ((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 == preorder || 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 visting 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


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  TSEARCH(3C)     (C Programming Language Utilities)    TSEARCH(3C)



       to refer to the same visits, which could result in some
       confusion over the meaning of postorder.

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




































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