Merge remote-tracking branch 'origin/master'
[bpt/guile.git] / module / language / tree-il / cse.scm
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1;;; Common Subexpression Elimination (CSE) on Tree-IL
2
3;; Copyright (C) 2011, 2012 Free Software Foundation, Inc.
4
5;;;; This library is free software; you can redistribute it and/or
6;;;; modify it under the terms of the GNU Lesser General Public
7;;;; License as published by the Free Software Foundation; either
8;;;; version 3 of the License, or (at your option) any later version.
9;;;;
10;;;; This library is distributed in the hope that it will be useful,
11;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
12;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13;;;; Lesser General Public License for more details.
14;;;;
15;;;; You should have received a copy of the GNU Lesser General Public
16;;;; License along with this library; if not, write to the Free Software
17;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
18
19(define-module (language tree-il cse)
20 #:use-module (language tree-il)
21 #:use-module (language tree-il primitives)
22 #:use-module (language tree-il effects)
23 #:use-module (ice-9 vlist)
24 #:use-module (ice-9 match)
25 #:use-module (srfi srfi-1)
26 #:use-module (srfi srfi-9)
27 #:use-module (srfi srfi-11)
28 #:use-module (srfi srfi-26)
29 #:export (cse))
30
31;;;
32;;; This pass eliminates common subexpressions in Tree-IL. It works
33;;; best locally -- within a function -- so it is meant to be run after
34;;; partial evaluation, which usually inlines functions and so opens up
35;;; a bigger space for CSE to work.
36;;;
37;;; The algorithm traverses the tree of expressions, returning two
38;;; values: the newly rebuilt tree, and a "database". The database is
39;;; the set of expressions that will have been evaluated as part of
40;;; evaluating an expression. For example, in:
41;;;
42;;; (1- (+ (if a b c) (* x y)))
43;;;
44;;; We can say that when it comes time to evaluate (1- <>), that the
45;;; subexpressions +, x, y, and (* x y) must have been evaluated in
46;;; values context. We know that a was evaluated in test context, but
47;;; we don't know if it was true or false.
48;;;
49;;; The expressions in the database /dominate/ any subsequent
50;;; expression: FOO dominates BAR if evaluation of BAR implies that any
51;;; effects associated with FOO have already occured.
52;;;
53;;; When adding expressions to the database, we record the context in
54;;; which they are evaluated. We treat expressions in test context
55;;; specially: the presence of such an expression indicates that the
56;;; expression is true. In this way we can elide duplicate predicates.
57;;;
58;;; Duplicate predicates are not common in code that users write, but
59;;; can occur quite frequently in macro-generated code.
60;;;
61;;; For example:
62;;;
63;;; (and (foo? x) (foo-bar x))
64;;; => (if (and (struct? x) (eq? (struct-vtable x) <foo>))
65;;; (if (and (struct? x) (eq? (struct-vtable x) <foo>))
66;;; (struct-ref x 1)
67;;; (throw 'not-a-foo))
68;;; #f))
69;;; => (if (and (struct? x) (eq? (struct-vtable x) <foo>))
70;;; (struct-ref x 1)
71;;; #f)
72;;;
73;;; A conditional bailout in effect context also has the effect of
74;;; adding predicates to the database:
75;;;
76;;; (begin (foo-bar x) (foo-baz x))
77;;; => (begin
78;;; (if (and (struct? x) (eq? (struct-vtable x) <foo>))
79;;; (struct-ref x 1)
80;;; (throw 'not-a-foo))
81;;; (if (and (struct? x) (eq? (struct-vtable x) <foo>))
82;;; (struct-ref x 2)
83;;; (throw 'not-a-foo)))
84;;; => (begin
85;;; (if (and (struct? x) (eq? (struct-vtable x) <foo>))
86;;; (struct-ref x 1)
87;;; (throw 'not-a-foo))
88;;; (struct-ref x 2))
89;;;
90;;; When removing code, we have to ensure that the semantics of the
91;;; source program and the residual program are the same. It's easy to
92;;; ensure that they have the same value, because those manipulations
93;;; are just algebraic, but the tricky thing is to ensure that the
94;;; expressions exhibit the same ordering of effects. For that, we use
95;;; the effects analysis of (language tree-il effects). We only
96;;; eliminate code if the duplicate code commutes with all of the
97;;; dominators on the path from the duplicate to the original.
98;;;
99;;; The implementation uses vhashes as the fundamental data structure.
100;;; This can be seen as a form of global value numbering. This
101;;; algorithm currently spends most of its time in vhash-assoc. I'm not
102;;; sure whether that is due to our bad hash function in Guile 2.0, an
103;;; inefficiency in vhashes, or what. Overall though the complexity
104;;; should be linear, or N log N -- whatever vhash-assoc's complexity
105;;; is. Walking the dominators is nonlinear, but that only happens when
106;;; we've actually found a common subexpression so that should be OK.
107;;;
108
109;; Logging helpers, as in peval.
110;;
111(define-syntax *logging* (identifier-syntax #f))
112;; (define %logging #f)
113;; (define-syntax *logging* (identifier-syntax %logging))
114(define-syntax log
115 (syntax-rules (quote)
116 ((log 'event arg ...)
117 (if (and *logging*
118 (or (eq? *logging* #t)
119 (memq 'event *logging*)))
120 (log* 'event arg ...)))))
121(define (log* event . args)
122 (let ((pp (module-ref (resolve-interface '(ice-9 pretty-print))
123 'pretty-print)))
124 (pp `(log ,event . ,args))
125 (newline)
126 (values)))
127
128;; A pre-pass on the source program to determine the set of assigned
129;; lexicals.
130;;
131(define* (build-assigned-var-table exp #:optional (table vlist-null))
132 (tree-il-fold
133 (lambda (exp res)
134 res)
135 (lambda (exp res)
136 (match exp
137 (($ <lexical-set> src name gensym exp)
138 (vhash-consq gensym #t res))
139 (_ res)))
140 (lambda (exp res) res)
141 table exp))
142
143(define (boolean-valued-primitive? primitive)
144 (or (negate-primitive primitive)
145 (eq? primitive 'not)
146 (let ((chars (symbol->string primitive)))
147 (eqv? (string-ref chars (1- (string-length chars)))
148 #\?))))
149
150(define (boolean-valued-expression? x ctx)
151 (match x
0ea5ba9a 152 (($ <primcall> _ (? boolean-valued-primitive?)) #t)
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153 (($ <const> _ (? boolean?)) #t)
154 (_ (eq? ctx 'test))))
155
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156(define (singly-valued-expression? x ctx)
157 (match x
158 (($ <const>) #t)
159 (($ <lexical-ref>) #t)
160 (($ <void>) #t)
161 (($ <lexical-ref>) #t)
162 (($ <primitive-ref>) #t)
163 (($ <module-ref>) #t)
164 (($ <toplevel-ref>) #t)
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165 (($ <primcall> _ (? singly-valued-primitive?)) #t)
166 (($ <primcall> _ 'values (val)) #t)
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167 (($ <lambda>) #t)
168 (_ (eq? ctx 'value))))
169
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170(define* (cse exp)
171 "Eliminate common subexpressions in EXP."
172
173 (define assigned-lexical?
174 (let ((table (build-assigned-var-table exp)))
175 (lambda (sym)
176 (vhash-assq sym table))))
177
63216d80 178 (define %compute-effects
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179 (make-effects-analyzer assigned-lexical?))
180
181 (define (negate exp ctx)
182 (match exp
183 (($ <const> src x)
184 (make-const src (not x)))
185 (($ <void> src)
186 (make-const src #f))
187 (($ <conditional> src test consequent alternate)
188 (make-conditional src test (negate consequent ctx) (negate alternate ctx)))
0ea5ba9a 189 (($ <primcall> _ 'not
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190 ((and x (? (cut boolean-valued-expression? <> ctx)))))
191 x)
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192 (($ <primcall> src (and pred (? negate-primitive)) args)
193 (make-primcall src (negate-primitive pred) args))
f66cbb99 194 (_
0ea5ba9a 195 (make-primcall #f 'not (list exp)))))
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196
197
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198 (define (hasher n)
199 (lambda (x size) (modulo n size)))
200
201 (define (add-to-db exp effects ctx db)
202 (let ((v (vector exp effects ctx))
1fb39dc5 203 (h (tree-il-hash exp)))
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204 (vhash-cons v h db (hasher h))))
205
206 (define (control-flow-boundary db)
207 (let ((h (hashq 'lambda most-positive-fixnum)))
208 (vhash-cons 'lambda h db (hasher h))))
209
210 (define (find-dominating-expression exp effects ctx db)
211 (define (entry-matches? v1 v2)
212 (match (if (vector? v1) v1 v2)
213 (#(exp* effects* ctx*)
1fb39dc5 214 (and (tree-il=? exp exp*)
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215 (or (not ctx) (eq? ctx* ctx))))
216 (_ #f)))
217
218 (let ((len (vlist-length db))
1fb39dc5 219 (h (tree-il-hash exp)))
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220 (and (vhash-assoc #t db entry-matches? (hasher h))
221 (let lp ((n 0))
222 (and (< n len)
223 (match (vlist-ref db n)
224 (('lambda . h*)
225 ;; We assume that lambdas can escape and thus be
226 ;; called from anywhere. Thus code inside a lambda
227 ;; only has a dominating expression if it does not
228 ;; depend on any effects.
229 (and (not (depends-on-effects? effects &all-effects))
230 (lp (1+ n))))
231 ((#(exp* effects* ctx*) . h*)
232 (log 'walk (unparse-tree-il exp) effects
233 (unparse-tree-il exp*) effects* ctx*)
234 (or (and (= h h*)
235 (or (not ctx) (eq? ctx ctx*))
1fb39dc5 236 (tree-il=? exp exp*))
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237 (and (effects-commute? effects effects*)
238 (lp (1+ n)))))))))))
239
240 ;; Return #t if EXP is dominated by an instance of itself. In that
241 ;; case, we can exclude *type-check* effects, because the first
242 ;; expression already caused them if needed.
243 (define (has-dominating-effect? exp effects db)
244 (or (constant? effects)
245 (and
246 (effect-free?
247 (exclude-effects effects
248 (logior &zero-values
249 &allocation
250 &type-check)))
251 (find-dominating-expression exp effects #f db))))
252
253 (define (find-dominating-test exp effects db)
254 (and
255 (effect-free?
256 (exclude-effects effects (logior &allocation
257 &type-check)))
258 (match exp
259 (($ <const> src val)
260 (if (boolean? val)
261 exp
262 (make-const src (not (not val)))))
263 ;; For (not FOO), try to prove FOO, then negate the result.
0ea5ba9a 264 (($ <primcall> src 'not (exp*))
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265 (match (find-dominating-test exp* effects db)
266 (($ <const> _ val)
267 (log 'inferring exp (not val))
268 (make-const src (not val)))
269 (_
270 #f)))
271 (_
272 (cond
273 ((find-dominating-expression exp effects #f db)
274 ;; We have an EXP fact, so we infer #t.
275 (log 'inferring exp #t)
276 (make-const (tree-il-src exp) #t))
277 ((find-dominating-expression (negate exp 'test) effects #f db)
278 ;; We have a (not EXP) fact, so we infer #f.
279 (log 'inferring exp #f)
280 (make-const (tree-il-src exp) #f))
281 (else
282 ;; Otherwise we don't know.
283 #f))))))
284
285 (define (add-to-env exp name sym db env)
286 (let* ((v (vector exp name sym (vlist-length db)))
1fb39dc5 287 (h (tree-il-hash exp)))
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288 (vhash-cons v h env (hasher h))))
289
290 (define (augment-env env names syms exps db)
291 (if (null? names)
292 env
293 (let ((name (car names)) (sym (car syms)) (exp (car exps)))
294 (augment-env (if (or (assigned-lexical? sym)
295 (lexical-ref? exp))
296 env
297 (add-to-env exp name sym db env))
298 (cdr names) (cdr syms) (cdr exps) db))))
299
300 (define (find-dominating-lexical exp effects env db)
301 (define (entry-matches? v1 v2)
302 (match (if (vector? v1) v1 v2)
303 (#(exp* name sym db)
1fb39dc5 304 (tree-il=? exp exp*))
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305 (_ #f)))
306
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307 (define (unroll db base n)
308 (or (zero? n)
309 (match (vlist-ref db base)
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310 (('lambda . h*)
311 ;; See note in find-dominating-expression.
312 (and (not (depends-on-effects? effects &all-effects))
73001b06 313 (unroll db (1+ base) (1- n))))
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314 ((#(exp* effects* ctx*) . h*)
315 (and (effects-commute? effects effects*)
73001b06 316 (unroll db (1+ base) (1- n)))))))
f66cbb99 317
1fb39dc5 318 (let ((h (tree-il-hash exp)))
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319 (and (effect-free? (exclude-effects effects &type-check))
320 (vhash-assoc exp env entry-matches? (hasher h))
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321 (let ((env-len (vlist-length env))
322 (db-len (vlist-length db)))
323 (let lp ((n 0) (m 0))
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324 (and (< n env-len)
325 (match (vlist-ref env n)
326 ((#(exp* name sym db-len*) . h*)
73001b06 327 (and (unroll db m (- db-len db-len*))
1fb39dc5 328 (if (and (= h h*) (tree-il=? exp* exp))
f66cbb99 329 (make-lexical-ref (tree-il-src exp) name sym)
73001b06 330 (lp (1+ n) (- db-len db-len*))))))))))))
f66cbb99 331
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332 (define (lookup-lexical sym env)
333 (let ((env-len (vlist-length env)))
334 (let lp ((n 0))
335 (and (< n env-len)
336 (match (vlist-ref env n)
337 ((#(exp _ sym* _) . _)
338 (if (eq? sym sym*)
339 exp
340 (lp (1+ n)))))))))
341
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342 (define (intersection db+ db-)
343 (vhash-fold-right
344 (lambda (k h out)
345 (if (vhash-assoc k db- equal? (hasher h))
346 (vhash-cons k h out (hasher h))
347 out))
348 vlist-null
349 db+))
350
351 (define (concat db1 db2)
352 (vhash-fold-right (lambda (k h tail)
353 (vhash-cons k h tail (hasher h)))
354 db2 db1))
355
356 (let visit ((exp exp)
357 (db vlist-null) ; dominating expressions: #(exp effects ctx) -> hash
358 (env vlist-null) ; named expressions: #(exp name sym db) -> hash
359 (ctx 'values)) ; test, effect, value, or values
360
361 (define (parallel-visit exps db env ctx)
362 (let lp ((in exps) (out '()) (db* vlist-null))
363 (if (pair? in)
364 (call-with-values (lambda () (visit (car in) db env ctx))
365 (lambda (x db**)
366 (lp (cdr in) (cons x out) (concat db** db*))))
367 (values (reverse out) db*))))
368
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369 (define (compute-effects exp)
370 (%compute-effects exp (lambda (sym) (lookup-lexical sym env))))
371
372 (define (bailout? exp)
373 (causes-effects? (compute-effects exp) &definite-bailout))
374
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375 (define (return exp db*)
376 (let ((effects (compute-effects exp)))
377 (cond
378 ((and (eq? ctx 'effect)
379 (not (lambda-case? exp))
380 (or (effect-free?
381 (exclude-effects effects
382 (logior &zero-values
383 &allocation)))
384 (has-dominating-effect? exp effects db)))
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385 (cond
386 ((void? exp)
387 (values exp db*))
388 (else
389 (log 'elide ctx (unparse-tree-il exp))
390 (values (make-void #f) db*))))
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391 ((and (boolean-valued-expression? exp ctx)
392 (find-dominating-test exp effects db))
393 => (lambda (exp)
394 (log 'propagate-test ctx (unparse-tree-il exp))
395 (values exp db*)))
dc1ee620 396 ((and (singly-valued-expression? exp ctx)
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397 (find-dominating-lexical exp effects env db))
398 => (lambda (exp)
399 (log 'propagate-value ctx (unparse-tree-il exp))
400 (values exp db*)))
401 ((and (constant? effects) (memq ctx '(value values)))
402 ;; Adds nothing to the db.
403 (values exp db*))
404 (else
405 (log 'return ctx effects (unparse-tree-il exp) db*)
406 (values exp
407 (add-to-db exp effects ctx db*))))))
408
409 (log 'visit ctx (unparse-tree-il exp) db env)
410
411 (match exp
412 (($ <const>)
413 (return exp vlist-null))
414 (($ <void>)
415 (return exp vlist-null))
416 (($ <lexical-ref> _ _ gensym)
417 (return exp vlist-null))
418 (($ <lexical-set> src name gensym exp)
419 (let*-values (((exp db*) (visit exp db env 'value)))
420 (return (make-lexical-set src name gensym exp)
421 db*)))
422 (($ <let> src names gensyms vals body)
423 (let*-values (((vals db*) (parallel-visit vals db env 'value))
424 ((body db**) (visit body (concat db* db)
425 (augment-env env names gensyms vals db)
426 ctx)))
427 (return (make-let src names gensyms vals body)
428 (concat db** db*))))
429 (($ <letrec> src in-order? names gensyms vals body)
430 (let*-values (((vals db*) (parallel-visit vals db env 'value))
431 ((body db**) (visit body (concat db* db)
432 (augment-env env names gensyms vals db)
433 ctx)))
434 (return (make-letrec src in-order? names gensyms vals body)
435 (concat db** db*))))
436 (($ <fix> src names gensyms vals body)
437 (let*-values (((vals db*) (parallel-visit vals db env 'value))
438 ((body db**) (visit body (concat db* db) env ctx)))
439 (return (make-fix src names gensyms vals body)
440 (concat db** db*))))
441 (($ <let-values> src producer consumer)
442 (let*-values (((producer db*) (visit producer db env 'values))
443 ((consumer db**) (visit consumer (concat db* db) env ctx)))
444 (return (make-let-values src producer consumer)
445 (concat db** db*))))
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446 (($ <dynwind> src winder pre body post unwinder)
447 (let*-values (((winder db*) (visit winder db env 'value))
448 ((db**) db*)
449 ((unwinder db*) (visit unwinder db env 'value))
450 ((db**) (concat db* db**))
451 ((pre db*) (visit pre (concat db** db) env 'effect))
452 ((db**) (concat db* db**))
453 ((body db*) (visit body (concat db** db) env ctx))
454 ((db**) (concat db* db**))
455 ((post db*) (visit post (concat db** db) env 'effect))
456 ((db**) (concat db* db**)))
457 (return (make-dynwind src winder pre body post unwinder)
458 db**)))
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459 (($ <dynlet> src fluids vals body)
460 (let*-values (((fluids db*) (parallel-visit fluids db env 'value))
461 ((vals db**) (parallel-visit vals db env 'value))
462 ((body db***) (visit body (concat db** (concat db* db))
463 env ctx)))
464 (return (make-dynlet src fluids vals body)
465 (concat db*** (concat db** db*)))))
466 (($ <dynref> src fluid)
467 (let*-values (((fluid db*) (visit fluid db env 'value)))
468 (return (make-dynref src fluid)
469 db*)))
470 (($ <dynset> src fluid exp)
471 (let*-values (((fluid db*) (visit fluid db env 'value))
472 ((exp db**) (visit exp db env 'value)))
473 (return (make-dynset src fluid exp)
474 (concat db** db*))))
475 (($ <toplevel-ref>)
476 (return exp vlist-null))
477 (($ <module-ref>)
478 (return exp vlist-null))
479 (($ <module-set> src mod name public? exp)
480 (let*-values (((exp db*) (visit exp db env 'value)))
481 (return (make-module-set src mod name public? exp)
482 db*)))
483 (($ <toplevel-define> src name exp)
484 (let*-values (((exp db*) (visit exp db env 'value)))
485 (return (make-toplevel-define src name exp)
486 db*)))
487 (($ <toplevel-set> src name exp)
488 (let*-values (((exp db*) (visit exp db env 'value)))
489 (return (make-toplevel-set src name exp)
490 db*)))
491 (($ <primitive-ref>)
492 (return exp vlist-null))
493 (($ <conditional> src test consequent alternate)
494 (let*-values
495 (((test db+) (visit test db env 'test))
496 ((converse db-) (visit (negate test 'test) db env 'test))
497 ((consequent db++) (visit consequent (concat db+ db) env ctx))
498 ((alternate db--) (visit alternate (concat db- db) env ctx)))
499 (match (make-conditional src test consequent alternate)
500 (($ <conditional> _ ($ <const> _ exp))
501 (if exp
502 (return consequent (concat db++ db+))
503 (return alternate (concat db-- db-))))
504 ;; (if FOO A A) => (begin FOO A)
505 (($ <conditional> src _
506 ($ <const> _ a) ($ <const> _ (? (cut equal? a <>))))
0ea5ba9a 507 (visit (make-seq #f test (make-const #f a))
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508 db env ctx))
509 ;; (if FOO #t #f) => FOO for boolean-valued FOO.
510 (($ <conditional> src
511 (? (cut boolean-valued-expression? <> ctx))
512 ($ <const> _ #t) ($ <const> _ #f))
513 (return test db+))
514 ;; (if FOO #f #t) => (not FOO)
515 (($ <conditional> src _ ($ <const> _ #f) ($ <const> _ #t))
516 (visit (negate test ctx) db env ctx))
517
518 ;; Allow "and"-like conditions to accumulate in test context.
519 ((and c ($ <conditional> _ _ _ ($ <const> _ #f)))
520 (return c (if (eq? ctx 'test) (concat db++ db+) vlist-null)))
521 ((and c ($ <conditional> _ _ ($ <const> _ #f) _))
522 (return c (if (eq? ctx 'test) (concat db-- db-) vlist-null)))
523
524 ;; Conditional bailouts turn expressions into predicates.
525 ((and c ($ <conditional> _ _ _ (? bailout?)))
526 (return c (concat db++ db+)))
527 ((and c ($ <conditional> _ _ (? bailout?) _))
528 (return c (concat db-- db-)))
529
530 (c
531 (return c (intersection (concat db++ db+) (concat db-- db-)))))))
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532 (($ <primcall> src primitive args)
533 (let*-values (((args db*) (parallel-visit args db env 'value)))
534 (return (make-primcall src primitive args) db*)))
535 (($ <call> src proc args)
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536 (let*-values (((proc db*) (visit proc db env 'value))
537 ((args db**) (parallel-visit args db env 'value)))
0ea5ba9a 538 (return (make-call src proc args)
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539 (concat db** db*))))
540 (($ <lambda> src meta body)
541 (let*-values (((body _) (visit body (control-flow-boundary db)
542 env 'values)))
543 (return (make-lambda src meta body)
544 vlist-null)))
545 (($ <lambda-case> src req opt rest kw inits gensyms body alt)
546 (let*-values (((inits _) (parallel-visit inits db env 'value))
547 ((body db*) (visit body db env ctx))
548 ((alt _) (if alt
549 (visit alt db env ctx)
550 (values #f #f))))
551 (return (make-lambda-case src req opt rest kw inits gensyms body alt)
552 (if alt vlist-null db*))))
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553 (($ <seq> src head tail)
554 (let*-values (((head db*) (visit head db env 'effect)))
555 (cond
556 ((void? head)
557 (visit tail db env ctx))
558 (else
559 (let*-values (((tail db**) (visit tail (concat db* db) env ctx)))
560 (values (make-seq src head tail)
561 (concat db** db*)))))))
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562 (($ <prompt> src tag body handler)
563 (let*-values (((tag db*) (visit tag db env 'value))
564 ((body _) (visit body (concat db* db) env ctx))
565 ((handler _) (visit handler (concat db* db) env ctx)))
566 (return (make-prompt src tag body handler)
567 db*)))
568 (($ <abort> src tag args tail)
569 (let*-values (((tag db*) (visit tag db env 'value))
570 ((args db**) (parallel-visit args db env 'value))
571 ((tail db***) (visit tail db env 'value)))
572 (return (make-abort src tag args tail)
573 (concat db* (concat db** db***))))))))