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1@c -*-texinfo-*-
2@c This is part of the GNU Guile Reference Manual.
3@c Copyright (C) 2010 Free Software Foundation, Inc.
4@c See the file guile.texi for copying conditions.
5@c
6
7@c The pattern syntax is taken from the documentation available in
8@c Andrew K. Wright's implementation of `match.scm', which is in the
9@c public domain. See Guile before commit
10@c d967913f05301a35573c5d3f7217d0994bbb1016 (Thu Jun 17 2010) or
11@c <http://www.cs.indiana.edu/scheme-repository/code.match.html>.
12
13@c FIXME: This section is a bit rough on the edges. The introduction
14@c could be improved, e.g., by adding examples.
15
16@node Pattern Matching
17@section Pattern Matching
18
19@cindex pattern matching
20@cindex (ice-9 match)
21
22The @code{(ice-9 match)} module provides a @dfn{pattern matcher},
23written by Alex Shinn, and compatible with Andrew K. Wright's pattern
24matcher found in many Scheme implementations.
25
26@cindex pattern variable
27A pattern matcher can match an object against several patterns and
28extract the elements that make it up. Patterns can represent any Scheme
29object: lists, strings, symbols, etc. They can optionally contain
30@dfn{pattern variables}. When a matching pattern is found, an
31expression associated with the pattern is evaluated, optionally with all
32pattern variables bound to the corresponding elements of the object:
33
34@example
35(let ((l '(hello (world))))
36 (match l ;; <- the input object
37 (('hello (who)) ;; <- the pattern
38 who))) ;; <- the expression evaluated upon matching
39@result{} world
40@end example
41
42In this example, list @var{l} matches the pattern @code{('hello (who))},
43because it is a two-element list whose first element is the symbol
44@code{hello} and whose second element is a one-element list. Here
45@var{who} is a pattern variable. @code{match}, the pattern matcher,
46locally binds @var{who} to the value contained in this one-element list,
47i.e., the symbol @code{world}.
48
49The same object can be matched against a simpler pattern:
50
51@example
52(let ((l '(hello (world))))
53 (match l
54 ((x y)
55 (values x y))))
56@result{} hello
57@result{} (world)
58@end example
59
60Here pattern @code{(x y)} matches any two-element list, regardless of
61the types of these elements. Pattern variables @var{x} and @var{y} are
62bound to, respectively, the first and second element of @var{l}.
63
64
65The pattern matcher is defined as follows:
66
67@deffn {Scheme Syntax} match exp clause ...
68Match object @var{exp} against the patterns in the given @var{clause}s,
69in the order in which they appear. Return the value produced by the
70first matching clause. If no @var{clause} matches, throw an exception
71with key @code{match-error}.
72
73Each @var{clause} has the form @code{(pattern body)}. Each
74@var{pattern} must follow the syntax described below. Each @var{body}
75is an arbitrary Scheme expression, possibly referring to pattern
76variables of @var{pattern}.
77@end deffn
78
79@c FIXME: Document other forms:
80@c
81@c exp ::= ...
82@c | (match exp clause ...)
83@c | (match-lambda clause ...)
84@c | (match-lambda* clause ...)
85@c | (match-let ((pat exp) ...) body)
86@c | (match-let* ((pat exp) ...) body)
87@c | (match-letrec ((pat exp) ...) body)
88@c | (match-define pat exp)
89@c
90@c clause ::= (pat body) | (pat => exp)
91
92The syntax and interpretation of patterns is as follows:
93
94@verbatim
95 patterns: matches:
96
97pat ::= identifier anything, and binds identifier
98 | _ anything
99 | () the empty list
100 | #t #t
101 | #f #f
102 | string a string
103 | number a number
104 | character a character
105 | 'sexp an s-expression
106 | 'symbol a symbol (special case of s-expr)
107 | (pat_1 ... pat_n) list of n elements
108 | (pat_1 ... pat_n . pat_{n+1}) list of n or more
109 | (pat_1 ... pat_n pat_n+1 ooo) list of n or more, each element
110 of remainder must match pat_n+1
111 | #(pat_1 ... pat_n) vector of n elements
112 | #(pat_1 ... pat_n pat_n+1 ooo) vector of n or more, each element
113 of remainder must match pat_n+1
114 | #&pat box
115 | ($ struct-name pat_1 ... pat_n) a structure
116 | (= field pat) a field of a structure
117 | (and pat_1 ... pat_n) if all of pat_1 thru pat_n match
118 | (or pat_1 ... pat_n) if any of pat_1 thru pat_n match
119 | (not pat_1 ... pat_n) if all pat_1 thru pat_n don't match
120 | (? predicate pat_1 ... pat_n) if predicate true and all of
121 pat_1 thru pat_n match
122 | (set! identifier) anything, and binds setter
123 | (get! identifier) anything, and binds getter
124 | `qp a quasi-pattern
125
126ooo ::= ... zero or more
127 | ___ zero or more
128 | ..k k or more
129 | __k k or more
130
131 quasi-patterns: matches:
132
133qp ::= () the empty list
134 | #t #t
135 | #f #f
136 | string a string
137 | number a number
138 | character a character
139 | identifier a symbol
140 | (qp_1 ... qp_n) list of n elements
141 | (qp_1 ... qp_n . qp_{n+1}) list of n or more
142 | (qp_1 ... qp_n qp_n+1 ooo) list of n or more, each element
143 of remainder must match qp_n+1
144 | #(qp_1 ... qp_n) vector of n elements
145 | #(qp_1 ... qp_n qp_n+1 ooo) vector of n or more, each element
146 of remainder must match qp_n+1
147 | #&qp box
148 | ,pat a pattern
149 | ,@pat a pattern
150@end verbatim
151
152The names @code{quote}, @code{quasiquote}, @code{unquote},
153@code{unquote-splicing}, @code{?}, @code{_}, @code{$}, @code{and},
154@code{or}, @code{not}, @code{set!}, @code{get!}, @code{...}, and
155@code{___} cannot be used as pattern variables.
156
157
158Guile also comes with a pattern matcher specifically tailored to SXML
159trees, @xref{sxml-match}.