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     TSEARCH(S)                UNIX System V                TSEARCH(S)



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

     Syntax
          #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
          The tsearch, tfind, tdelete, and twalk functions 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.

          The tsearch function 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 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
               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 == preorder || order == leaf)  {
                    (void)printf("string = %20s,  length = %d\n",
                                  (*((struct node **)node))->string,
                                  (*((struct node **)node))->length);
               }
          }

     See Also
          bsearch(S), hsearch(S), lsearch(S)

     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.  The tsearch function 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.

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

     Standards Conformance
          tdelete, tfind, tsearch and twalk are conformant with:
          AT&T SVID Issue 2, Select Code 307-127;
          and The X/Open Portability Guide II of January 1987.
                                                (printed 6/20/89)



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