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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 1.15 2006/06/23 13:36:33 keramida Exp $
29 .\"
30 .Dd June 15, 1997
31 .Dt TSEARCH 3
32 .Os
33 .Sh NAME
34 .Nm tdelete ,
35 .Nm tfind ,
36 .Nm tsearch ,
37 .Nm twalk
38 .Nd manipulate binary search trees
39 .Sh SYNOPSIS
40 .In search.h
41 .Ft void *
42 .Fo tdelete
43 .Fa "const void *restrict key"
44 .Fa "void **restrict rootp"
45 .Fa "int (*compar) (const void *key1, const void *key2)"
46 .Fc
47 .Ft void *
48 .Fo tfind
49 .Fa "const void *key"
50 .Fa "void *const *rootp"
51 .Fa "int (*compar) (const void *key1, const void *key2)"
52 .Fc
53 .Ft void *
54 .Fo tsearch
55 .Fa "const void *key"
56 .Fa "void **rootp"
57 .Fa "int (*compar) (const void *key1, const void *key2)"
58 .Fc
59 .Ft void
60 .Fo twalk
61 .Fa "const void *root"
62 .Fa "void (*action) (const void *node, VISIT order, int level)"
63 .Fc
64 .Sh DESCRIPTION
65 The
66 .Fn tdelete ,
67 .Fn tfind ,
68 .Fn tsearch ,
69 and
70 .Fn twalk
71 functions manage binary search trees, based on algorithms T and D
72 from Knuth (6.2.2).
73 The comparison function passed in by
74 the user takes two arguments, each of which is a key
75 pointer.
76 This function has the same style of return values as
77 .Xr strcmp 3 .
78 .Pp
79 The
80 .Fn tfind
81 function
82 searches for a node whose key matches the argument
83 .Fa key
84 in the binary tree rooted at
85 .Fa rootp ,
86 returning a pointer to the node if it is found and NULL
87 if it is not.
88 .Pp
89 Note that a node is itself a pointer to the key of the node.
90 Thus, you should generally cast this result to a
91 double pointer to the data type stored in the tree, for example
92 (struct myType **), and use double indirection to retrieve the
93 original key value.
94 .Pp
95 The
96 .Fn tsearch
97 function is identical to
98 .Fn tfind
99 except that, if no match is found,
100 it inserts a new node for the
101 .Fa key
102 into the tree and returns a pointer to the node.
103 If
104 .Fa rootp
105 points to a NULL value, a new binary search tree is created.
106 .Pp
107 The
108 .Fn tdelete
109 function deletes a node from the specified binary search tree
110 and returns a pointer to the parent of the node that was deleted.
111 It takes the same arguments as
112 .Fn tfind
113 and
114 .Fn tsearch .
115 If the node to be deleted is the root of the binary search tree,
116 .Fa rootp
117 will be adjusted.
118 .Pp
119 The
120 .Fn twalk
121 function walks the binary search tree rooted in
122 .Fa root
123 and calls the function
124 .Fa action
125 on each node.
126 The
127 .Fa action
128 function is called with three arguments: a pointer to the current node,
129 a value from the enum
130 .Sy "typedef enum { preorder, postorder, endorder, leaf } VISIT;"
131 specifying the traversal type, and a node level (where level
132 zero is the root of the tree).
133 .Pp
134 As
135 .Fn twalk
136 traverses the tree, it calls the
137 .Fa action
138 function with the traversal type "preorder"
139 before visiting the left subtree of the
140 .Fa node ,
141 with the
142 traversal type "postorder" before visiting the right subtree
143 of the
144 .Fa node ,
145 and with the traversal type "endorder" after
146 visiting the right subtree of the
147 .Fa node .
148 .Pp.
149 The
150 .Fa action
151 function is called only once for a leaf-node, with the
152 traversal type "leaf."
153 .Pp
154 Note: the names for the traversal types differ somewhat from
155 common parlance. The traversal type "postorder" corresponds
156 to what would typically be referred to as in-order, and the
157 traversal type "endorder" corresponds to what would typically
158 be referred to as post-order.
159 .Sh RETURN VALUES
160 The
161 .Fn tsearch
162 function returns NULL if allocation of a new node fails (usually
163 due to a lack of free memory).
164 .Pp
165 The
166 .Fn tfind ,
167 .Fn tsearch ,
168 and
169 .Fn tdelete
170 functions
171 return NULL if
172 .Fa rootp
173 is NULL or the node cannot be found.
174 .Pp
175 The
176 .Fn twalk
177 function returns no value.
178 .Sh SEE ALSO
179 .Xr bsearch 3 ,
180 .Xr hsearch 3 ,
181 .Xr lsearch 3