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[fringe] / scheme-fringe.scm
1 ;;; -*-scheme-*-
2 ;;;
3 ;;; Scheme implementation of a `same-fringe' solver. Assumes Chicken, but
4 ;;; should port easily.
5
6 (use syntax-case) ; Chicken-specfic
7
8 ;;;--------------------------------------------------------------------------
9 ;;; Utilities.
10
11 (define-syntax with-values
12 ;; Bind the values returned by FORM to the VARS and evaluate BODY.
13
14 (syntax-rules ()
15 ((with-values vars form . body)
16 (call-with-values (lambda () form)
17 (lambda stuff
18 (apply (lambda vars . body) stuff))))))
19
20 (define-syntax when
21 ;; If CONDITION is not #f then evaluate BODY.
22
23 (syntax-rules ()
24 ((when condition . body)
25 (if condition (begin . body)))))
26
27 (define-syntax unless
28 ;; If CONDITION is #f then evaluate BODY.
29
30 (syntax-rules ()
31 ((unless condition . body)
32 (if (not condition) (begin . body)))))
33
34 ;;;--------------------------------------------------------------------------
35 ;;; Coroutines.
36
37 (define-record-type coroutine
38 ;; A coroutine simply remembers the continuaton which was suspended when it
39 ;; last invoked a different coroutine.
40 (make-coroutine continuation)
41 coroutine?
42 (continuation %coroutine-continuation %set-coroutine-continuation!))
43
44 (define %current-coroutine (make-coroutine #f))
45 (define (current-coroutine)
46 ;; Return the current coroutine.
47 %current-coroutine)
48
49 (define %calling-coroutine #f)
50 (define (calling-coroutine)
51 ;; Return the coroutine that invoked the current one. Before any switch,
52 ;; this is #f.
53 %calling-coroutine)
54
55 (define (resume coroutine . args)
56 ;; Switch to COROUTINE, passing it ARGS. When this coroutine is resumed
57 ;; (by calling `switch', naturally) it will return the values passed as
58 ;; arguments. A new coroutine (made by `make-coroutine') receives these
59 ;; values as its arguments.
60
61 (call-with-current-continuation
62 (lambda (k)
63 (%set-coroutine-continuation! %current-coroutine k)
64 (set! %calling-coroutine %current-coroutine)
65 (set! %current-coroutine coroutine)
66 (apply (%coroutine-continuation coroutine) args))))
67
68 ;;;--------------------------------------------------------------------------
69 ;;; Generators.
70
71 (define-syntax define-generator
72 ;; Define a function returning a generator. The generator yields whatever
73 ;; the function body does.
74
75 (syntax-rules ()
76 ((define-generator (name . args) . body)
77 (define (name . args)
78 (make-coroutine (lambda ()
79 (begin . body)
80 (resume (calling-coroutine) #f #f)))))))
81
82 (define (yield object)
83 ;; Yield OBJECT from a generator. The generator protocol returns two
84 ;; values each time: either an object and #t, or #f twice to mark the end
85 ;; of the sequence.
86
87 (with-values () (resume (calling-coroutine) object #t) #f))
88
89 (define (reduce-generator func init gen)
90 ;; Call FUNC for each item in the generator GEN.
91 ;;
92 ;; We maintain a STATE, which is initially INIT. For each ITEM produced by
93 ;; the generator, we replace the state by (FUNC ITEM STATE); finally, we
94 ;; return the final state.
95
96 (let loop ((state init))
97 (with-values (item any?) (resume gen)
98 (if any?
99 (loop (func item state))
100 state))))
101
102 (define (list-generator gen)
103 ;; Collect the elements generated by GEN into a list and return it.
104
105 (reverse (reduce-generator cons '() gen)))
106
107 (define (same-generators? gen-a gen-b)
108 ;; Return whether GEN-A and GEN-B generate the same elements in the same
109 ;; order.
110
111 (let loop ()
112 (with-values (a any-a?) (resume gen-a)
113 (with-values (b any-b?) (resume gen-b)
114 (cond ((not any-a?) (not any-b?))
115 ((not any-b?) #f)
116 ((eqv? a b) (loop))
117 (else #f))))))
118
119 ;;;--------------------------------------------------------------------------
120 ;;; Nodes and trees.
121
122 ;; Assumes SRFI-9; widely available.
123 (define-record-type node
124 ;; A node in a simple binary tree. Empty subtrees are denoted by ().
125
126 (make-node left data right)
127 node?
128 (left node-left)
129 (data node-data)
130 (right node-right))
131
132 (define-generator (fringe node)
133 ;; Generate the elements of the tree headed by NODE inorder.
134
135 (let recur ((node node))
136 (unless (null? node)
137 (recur (node-left node))
138 (yield (node-data node))
139 (recur (node-right node)))))
140
141 (define (parse-tree string)
142 ;; Return a tree constructed according to STRING.
143 ;;
144 ;; Syntax is:
145 ;;
146 ;; tree ::= empty | `(' tree char tree `)'
147 ;;
148 ;; disambiguated by treating `(' as starting a tree wherever a tree is
149 ;; expected.
150
151 (let ((len (string-length string)))
152 (define (parse i)
153 (cond ((>= i len) (values '() i))
154 ((char=? (string-ref string i) #\()
155 (with-values (left i) (parse (+ 1 i))
156 (unless (< i len) (error "no data"))
157 (let ((data (string-ref string i)))
158 (with-values (right i) (parse (+ 1 i))
159 (unless (and (< i len) (char=? (string-ref string i) #\)))
160 (error "missing )"))
161 (values (make-node left data right) (+ 1 i))))))
162 (else (values '() i))))
163 (with-values (tree i) (parse 0)
164 (unless (= i len) (error "trailing junk"))
165 tree)))
166
167 ;;;--------------------------------------------------------------------------
168 ;;; Main program.
169
170 (define (main args)
171 (cond ((null? args) (error "bad args"))
172 ((null? (cdr args))
173 (reduce-generator (lambda (ch ?) (write-char ch)) #f
174 (fringe (parse-tree (car args))))
175 (newline))
176 ((null? (cddr args))
177 (display (if (same-generators? (fringe (parse-tree (car args)))
178 (fringe (parse-tree (cadr args))))
179 "match"
180 "no match"))
181 (newline))
182 (else (error "bad args"))))
183
184 ;; Chicken-specific (works in interpreter and standalone compiled code).
185 (let ((program (car (argv))))
186 (condition-case (begin (main (command-line-arguments)) (exit))
187 (err (exn)
188 (print-error-message err (current-error-port) program)
189 (exit 1))))
190
191 ;;;----- That's all, folks --------------------------------------------------