;;; Continuation-passing style (CPS) intermediate language (IL) ;; Copyright (C) 2013-2021 Free Software Foundation, Inc. ;;;; This library is free software; you can redistribute it and/or ;;;; modify it under the terms of the GNU Lesser General Public ;;;; License as published by the Free Software Foundation; either ;;;; version 3 of the License, or (at your option) any later version. ;;;; ;;;; This library is distributed in the hope that it will be useful, ;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of ;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ;;;; Lesser General Public License for more details. ;;;; ;;;; You should have received a copy of the GNU Lesser General Public ;;;; License along with this library; if not, write to the Free Software ;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA ;;; Commentary: ;;; ;;; Loop peeling "peels off" one iteration of a loop. When followed by ;;; common subexpression elimination, it has the effect of moving terms ;;; to the first peeled iteration, leaving the loop body with fewer ;;; terms. ;;; ;;; Loop peeling is complementary to loop-invariant code motion (LICM). ;;; LICM will hoist invariant terms that have no side effects, like ;;; $const, even if they are in branches that are not always taken. ;;; However LICM won't hoist expressions that might have side effects if ;;; it can't prove that they are reachable on every iteration. Peeling ;;; on the other hand arranges for the body to be dominated by one loop ;;; iteration, so any effect that is reachable on one full iteration can ;;; be hoisted and eliminated, which is a big boon when we consider ;;; &type-check effects. For example: ;;; ;;; x = cached-toplevel-box map ;;; y = box-ref x ;;; z = cached-toplevel-box foo ;;; w = box-ref z ;;; ... ;;; ;;; In this example, LICM could hoist X, possibly Y as well if it can ;;; prove that the body doesn't write to variables, but it won't hoist ;;; Z. In contrast, peeling + CSE will allow Z to be hoisted. ;;; ;;; Peeling does cause code growth. If this becomes a problem we will ;;; need to apply heuristics to limit its applicability. ;;; ;;; Implementation-wise, things are complicated by values flowing out of ;;; the loop. We actually perform this transformation only on loops ;;; that have a single exit continuation, so that we define values ;;; flowing out in one place. We rename the loop variables in two ;;; places internally: one for the peeled iteration, and another for ;;; the body. The loop variables' original names are then bound in a ;;; join continuation for use by successor code. ;;; ;;; Code: (define-module (language cps peel-loops) #:use-module (ice-9 match) #:use-module ((srfi srfi-1) #:select (fold)) #:use-module (language cps) #:use-module (language cps utils) #:use-module (language cps intmap) #:use-module (language cps intset) #:export (peel-loops)) (define (intset-map f set) (persistent-intmap (intset-fold (lambda (i out) (intmap-add! out i (f i))) set empty-intmap))) (define (loop-successors scc succs) (intset-subtract (intset-fold (lambda (label exits) (intset-union exits (intmap-ref succs label))) scc empty-intset) scc)) (define (find-exits scc succs) (intset-fold (lambda (label exits) (if (eq? empty-intset (intset-subtract (intmap-ref succs label) scc)) exits (intset-add exits label))) scc empty-intset)) (define (find-entry scc preds) (trivial-intset (find-exits scc preds))) (define (list->intset vars) (persistent-intset (fold1 (lambda (var set) (intset-add! set var)) vars empty-intset))) (define (compute-bailouts cps labels) (intset-fold (lambda (label bailouts) (match (intmap-ref cps label) (($ $kargs () () ($ $throw)) (intset-add bailouts label)) (_ bailouts))) labels empty-intset)) (define (compute-live-variables cps entry body succs) (let* ((succs (intset-map (lambda (label) (intset-intersect (intmap-ref succs label) body)) body)) (init (intset-map (lambda (label) #f) body)) (kill (intset-map (lambda (label) #f) body)) (gen (intset-map (lambda (label) (match (intmap-ref cps label) (($ $kargs names vars) (list->intset vars)) (_ empty-intset))) body)) (in (intmap-replace init entry (intmap-ref gen entry))) (out init)) (define (subtract in kill) (or in empty-intset)) (define (add in gen) (if in (intset-union in gen) gen)) (define (meet in out) (if in (intset-intersect in out) out)) (call-with-values (lambda () (solve-flow-equations succs in out kill gen subtract add meet (intset entry))) (lambda (in out) out)))) (define (compute-out-vars cps entry body succs exit) (let ((live (compute-live-variables cps entry body succs))) (intset-fold-right cons (intset-fold (lambda (label live-out) (if (intset-ref (intmap-ref succs label) exit) (if live-out (intset-intersect live-out (intmap-ref live label)) (intmap-ref live label)) live-out)) body #f) '()))) (define (rename-cont cont fresh-labels fresh-vars) (define (rename-label label) (intmap-ref fresh-labels label (lambda (label) label))) (define (rename-var var) (intmap-ref fresh-vars var (lambda (var) var))) (define (rename-exp exp) (rewrite-exp exp ((or ($ $const) ($ $prim) ($ $const-fun) ($ $code) ($ $rec ())) ,exp) (($ $values args) ($values ,(map rename-var args))) (($ $call proc args) ($call (rename-var proc) ,(map rename-var args))) (($ $callk k proc args) ($callk k (and proc (rename-var proc)) ,(map rename-var args))) (($ $calli args callee) ($calli ,(map rename-var args) (rename-var callee))) (($ $primcall name param args) ($primcall name param ,(map rename-var args))))) (define (rename-term term) (rewrite-term term (($ $continue k src exp) ($continue (rename-label k) src ,(rename-exp exp))) (($ $branch kf kt src op param args) ($branch (rename-label kf) (rename-label kt) src op param ,(map rename-var args))) (($ $switch kf kt* src arg) ($switch (rename-label kf) (map rename-label kt*) src (rename-var arg))) (($ $prompt k kh src escape? tag) ($prompt (rename-label k) (rename-label kh) src escape? (rename-var tag))) (($ $throw src op param args) ($throw src op param ,(map rename-var args))))) (rewrite-cont cont (($ $kargs names vars term) ($kargs names (map rename-var vars) ,(rename-term term))) (($ $kreceive ($ $arity req () rest) kargs) ($kreceive req rest (rename-label kargs))))) (define (add-renamed-bailout cps label new-label fresh-vars) ;; We could recognize longer bailout sequences here; for now just ;; single-term throws. (define (rename-var var) (intmap-ref fresh-vars var (lambda (var) var))) ;; FIXME: Perhaps avoid copying the bailout if it doesn't use any loop ;; var. (match (intmap-ref cps label) (($ $kargs () () ($ $throw src op param args)) (intmap-add cps new-label (build-cont ($kargs () () ($throw src op param ,(map rename-var args)))))))) (define (compute-var-names conts) (persistent-intmap (intmap-fold (lambda (label cont out) (match cont (($ $kargs names vars) (fold (lambda (name var out) (intmap-add! out var name)) out names vars)) (_ out))) conts empty-intmap))) (define (peel-loop cps entry body-labels succs preds bailouts) (let* ((body-conts (intset-map (lambda (label) (intmap-ref cps label)) body-labels)) (var-names (compute-var-names body-conts)) (loop-exits (loop-successors body-labels succs)) (loop-bailouts (intset-intersect loop-exits bailouts)) ;; All non-bailout loop exits branch to this label. (exit (trivial-intset (intset-subtract loop-exits loop-bailouts))) ;; The variables that flow out of the loop, as a list. (out-vars (compute-out-vars cps entry body-labels succs exit)) (out-names (map (lambda (var) (intmap-ref var-names var)) out-vars)) (join-label (fresh-label)) (join-cont (build-cont ($kargs out-names out-vars ($continue exit #f ($values ()))))) (trampoline-cont ;; A $values predecessor for the join, passing the out-vars ;; using their original names. These will get renamed in ;; both the peeled iteration and the body. (build-cont ($kargs () () ($continue join-label #f ($values out-vars))))) (fresh-body-labels ;; Fresh labels for the body. (intset-map (lambda (old) (fresh-label)) body-labels)) (fresh-body-vars ;; Fresh vars for the body. (intmap-map (lambda (var name) (fresh-var)) var-names)) (fresh-body-bailout-labels ;; Fresh labels for bailouts from body. (intset-map (lambda (old) (fresh-label)) loop-bailouts)) (fresh-body-entry ;; The name of the entry, but in the body. (intmap-ref fresh-body-labels entry)) (fresh-peeled-vars ;; Fresh names for variables that flow out of the peeled iteration. (fold1 (lambda (var out) (intmap-add out var (fresh-var))) out-vars empty-intmap)) (peeled-bailout-labels ;; Fresh labels for bailouts from peeled iteration. (intset-map (lambda (old) (fresh-label)) loop-bailouts)) (peeled-trampoline-label ;; Label for trampoline to pass values out of the peeled ;; iteration. (fresh-label)) (peeled-trampoline-cont ;; Trampoline for the peeled iteration, ready to adjoin to ;; CPS. (rename-cont trampoline-cont empty-intmap fresh-peeled-vars)) (peeled-labels ;; Exit goes to trampoline, back edges to body. (intmap-add (intmap-add empty-intmap exit peeled-trampoline-label) entry fresh-body-entry)) (peeled-iteration ;; The peeled iteration. (intmap-map (lambda (label cont) (rename-cont cont (intmap-union peeled-labels peeled-bailout-labels) fresh-peeled-vars)) body-conts)) (body-trampoline-label ;; Label for trampoline to pass values out of the body. (fresh-label)) (body-trampoline-cont ;; Trampoline for the body, ready to adjoin to CPS. (rename-cont trampoline-cont empty-intmap fresh-body-vars)) (fresh-body ;; The body, renamed. (let ((label-map (intmap-union (intmap-add fresh-body-labels exit body-trampoline-label) fresh-body-bailout-labels))) (persistent-intmap (intmap-fold (lambda (label new-label out) (intmap-add! out new-label (rename-cont (intmap-ref body-conts label) label-map fresh-body-vars))) fresh-body-labels empty-intmap))))) (let* ((cps (intmap-add! cps join-label join-cont)) (cps (intmap-add! cps peeled-trampoline-label peeled-trampoline-cont)) (cps (intmap-add! cps body-trampoline-label body-trampoline-cont)) (cps (intmap-fold (lambda (label cont cps) (intmap-replace! cps label cont)) peeled-iteration cps)) (cps (intmap-fold (lambda (old-label new-label cps) (add-renamed-bailout cps old-label new-label fresh-peeled-vars)) peeled-bailout-labels cps)) (cps (intmap-fold (lambda (label cont cps) (intmap-add! cps label cont)) fresh-body cps)) (cps (intmap-fold (lambda (old-label new-label cps) (add-renamed-bailout cps old-label new-label fresh-body-vars)) fresh-body-bailout-labels cps))) cps))) (define (peel-loops-in-function kfun body cps) (let* ((succs (compute-successors cps kfun)) (bailouts (compute-bailouts cps body)) (preds (invert-graph succs))) ;; We can peel if there is one non-bailout successor to the loop, ;; and if the loop has no nested functions. (Peeling a nested ;; function would cause exponential code growth.) (define (can-peel? body) (and (trivial-intset (intset-subtract (loop-successors body succs) bailouts)) (intset-fold (lambda (label peel?) (match (intmap-ref cps label) (($ $kargs _ _ ($ $continue _ _ exp)) (match exp (($ $fun) #f) (($ $rec (_ . _)) #f) (_ peel?))) (_ peel?))) body #t))) (intmap-fold (lambda (id scc cps) (cond ((trivial-intset scc) cps) ((find-entry scc preds) => (lambda (entry) (if (can-peel? scc) (peel-loop cps entry scc succs preds bailouts) cps))) (else cps))) (compute-strongly-connected-components succs kfun) cps))) (define (peel-loops cps) (persistent-intmap (with-fresh-name-state cps (intmap-fold peel-loops-in-function (compute-reachable-functions cps) cps))))