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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>

         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 (void *root, void(*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.




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   tsearch(3C)         (C Programming Language Utilities)          tsearch(3C)


         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.

         #include <string.h>
         #include <stdio.h>
         #include <search.h>

         struct node {
               char *string;
               int length;
         };

         char stringspace[10000];
         struct node nodes[500];
         void *root = NULL;

         int nodecompare(const void *node1, const void *node2) {
               return strcmp(((const struct node *) node1)->string,
                           ((const struct node *) node2)->string);
         }

         void printnode(void **node, VISIT order, int level) {
               if (order == preorder || order == leaf) {
                     printf("length=%d, string=%20s\n",
                     (*(struct node **)node)->length,
                     (*(struct node **)node)->string);
               }
         }

         main() {


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   tsearch(3C)         (C Programming Language Utilities)          tsearch(3C)


               char *strptr = stringspace;
               struct node *nodeptr = nodes;
               int i = 0;

               while (gets(strptr) != NULL && i++ < 500) {
                     nodeptr->string = strptr;
                     nodeptr->length = strlen(strptr);
                     (void) tsearch((void *)nodeptr,
                                 &root, nodecompare);
                     strptr += nodeptr->length + 1;
                     nodeptr++;
               }
               twalk(root, printnode);
         }

   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.

   NOTES
         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
         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 alternate nomenclature uses preorder, inorder and
         postorder to refer to the same visits, which could result in some
         confusion over the meaning of postorder.

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













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