1.\" $NetBSD$
2.\" Copyright (c) 1997 Todd C. Miller <Todd.Miller@courtesan.com>
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27.\"	OpenBSD: tsearch.3,v 1.2 1998/06/21 22:13:49 millert Exp
28.\" $FreeBSD: src/lib/libc/stdlib/tsearch.3,v 1.7 2001/09/07 14:46:36 asmodai Exp $
29.\"
30.Dd June 15, 1997
31.Dt TSEARCH 3
32.Os
33.Sh NAME
34.Nm tsearch , tfind , tdelete , twalk
35.Nd manipulate binary search trees
36.Sh SYNOPSIS
37.In search.h
38.Ft void *
39.Fn tdelete "const void *key" "void **rootp" "int (*compar) (const void *, const void *)"
40.Ft void *
41.Fn tfind "const void *key" "void **rootp" "int (*compar) (const void *, const void *)"
42.Ft void *
43.Fn tsearch "const void *key" "void **rootp" "int (*compar) (const void *, const void *)"
44.Ft void
45.Fn twalk "const void *root" "void (*compar) (const void *, VISIT, int)"
46.Sh DESCRIPTION
47The
48.Fn tdelete ,
49.Fn tfind ,
50.Fn tsearch ,
51and
52.Fn twalk
53functions manage binary search trees based on algorithms T and D
54from Knuth (6.2.2).  The comparison function passed in by
55the user has the same style of return values as
56.Xr strcmp 3 .
57.Pp
58.Fn Tfind
59searches for the datum matched by the argument
60.Fa key
61in the binary tree rooted at
62.Fa rootp ,
63returning a pointer to the datum if it is found and NULL
64if it is not.
65.Pp
66.Fn Tsearch
67is identical to
68.Fn tfind
69except that if no match is found,
70.Fa key
71is inserted into the tree and a pointer to it is returned.  If
72.Fa rootp
73points to a NULL value a new binary search tree is created.
74.Pp
75.Fn Tdelete
76deletes a node from the specified binary search tree and returns
77a pointer to the parent of the node to be deleted.
78It takes the same arguments as
79.Fn tfind
80and
81.Fn tsearch .
82If the node to be deleted is the root of the binary search tree,
83.Fa rootp
84will be adjusted.
85.Pp
86.Fn Twalk
87walks the binary search tree rooted in
88.Fa root
89and calls the function
90.Fa action
91on each node.
92.Fa Action
93is called with three arguments: a pointer to the current node,
94a value from the enum
95.Sy "typedef enum { preorder, postorder, endorder, leaf } VISIT;"
96specifying the traversal type, and a node level (where level
97zero is the root of the tree).
98.Sh SEE ALSO
99.Xr bsearch 3 ,
100.Xr hsearch 3 ,
101.Xr lsearch 3
102.Sh RETURN VALUES
103The
104.Fn tsearch
105function returns NULL if allocation of a new node fails (usually
106due to a lack of free memory).
107.Pp
108.Fn Tfind ,
109.Fn tsearch ,
110and
111.Fn tdelete
112return NULL if
113.Fa rootp
114is NULL or the datum cannot be found.
115.Pp
116The
117.Fn twalk
118function returns no value.
119