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(** Top-down solver with side effects. Simplified version of the td3 solver ([td_simplified]).*) | ||
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(** Top down solver that uses the box-operator for widening/narrowing at widening points. *) | ||
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open Batteries | ||
open ConstrSys | ||
open Messages | ||
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module M = Messages | ||
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module Base : GenericEqSolver = | ||
functor (S:EqConstrSys) -> | ||
functor (HM:Hashtbl.S with type key = S.v) -> | ||
struct | ||
open SolverBox.Warrow (S.Dom) | ||
include Generic.SolverStats (S) (HM) | ||
module VS = Set.Make (S.Var) | ||
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let solve st vs = | ||
let called = HM.create 10 in | ||
let infl = HM.create 10 in | ||
let rho = HM.create 10 in | ||
let wpoint = HM.create 10 in | ||
let stable = HM.create 10 in | ||
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let () = print_solver_stats := fun () -> | ||
Logs.debug "|rho|=%d" (HM.length rho); | ||
Logs.debug "|stable|=%d" (HM.length stable); | ||
Logs.debug "|infl|=%d" (HM.length infl); | ||
Logs.debug "|wpoint|=%d" (HM.length wpoint); | ||
Logs.info "|called|=%d" (HM.length called); | ||
print_context_stats rho | ||
in | ||
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let add_infl y x = | ||
if tracing then trace "infl" "add_infl %a %a" S.Var.pretty_trace y S.Var.pretty_trace x; | ||
HM.replace infl y (VS.add x (HM.find_default infl y VS.empty)); | ||
in | ||
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let init x = | ||
if not (HM.mem rho x) then ( | ||
new_var_event x; | ||
if tracing then trace "init" "init %a" S.Var.pretty_trace x; | ||
HM.replace rho x (S.Dom.bot ()) | ||
) | ||
in | ||
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let eq x get set = | ||
if tracing then trace "eq" "eq %a" S.Var.pretty_trace x; | ||
match S.system x with | ||
| None -> S.Dom.bot () | ||
| Some f -> f get set | ||
in | ||
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let rec destabilize x = | ||
if tracing then trace "destab" "destabilize %a" S.Var.pretty_trace x; | ||
let w = HM.find_default infl x VS.empty in | ||
HM.replace infl x VS.empty; | ||
VS.iter (fun y -> | ||
if tracing then trace "destab" "stable remove %a" S.Var.pretty_trace y; | ||
HM.remove stable y; | ||
destabilize y | ||
) w | ||
in | ||
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let rec iterate x = (* ~(inner) solve in td3*) | ||
let query x y = (* ~eval in td3 *) | ||
if tracing then trace "solver_query" "entering query for %a; stable %b; called %b" S.Var.pretty_trace y (HM.mem stable y) (HM.mem called y); | ||
get_var_event y; | ||
if not (HM.mem called y) then ( | ||
if S.system y = None then ( | ||
init y; | ||
HM.replace stable y () | ||
) else ( | ||
HM.replace called y (); | ||
if tracing then trace "iter" "iterate called from query"; | ||
iterate y; | ||
HM.remove called y) | ||
) else ( | ||
if tracing && not (HM.mem wpoint y) then trace "wpoint" "query adding wpoint %a" S.Var.pretty_trace y; | ||
HM.replace wpoint y (); | ||
); | ||
let tmp = HM.find rho y in | ||
add_infl y x; | ||
if tracing then trace "answer" "exiting query for %a\nanswer: %a" S.Var.pretty_trace y S.Dom.pretty tmp; | ||
tmp | ||
in | ||
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let side x y d = (* side from x to y; only to variables y w/o rhs; x only used for trace *) | ||
if tracing then trace "side" "side to %a (wpx: %b) from %a; value: %a" S.Var.pretty_trace y (HM.mem wpoint y) S.Var.pretty_trace x S.Dom.pretty d; | ||
assert (S.system y = None); | ||
init y; | ||
let widen a b = | ||
if M.tracing then M.trace "wpoint" "side widen %a" S.Var.pretty_trace y; | ||
S.Dom.widen a (S.Dom.join a b) | ||
in | ||
let op a b = if HM.mem wpoint y then widen a b else S.Dom.join a b | ||
in | ||
let old = HM.find rho y in | ||
let tmp = op old d in | ||
HM.replace stable y (); | ||
if not (S.Dom.leq tmp old) then ( | ||
if tracing && not (S.Dom.is_bot old) then trace "update" "side to %a (wpx: %b) from %a new: %a" S.Var.pretty_trace y (HM.mem wpoint y) S.Var.pretty_trace x S.Dom.pretty tmp; | ||
HM.replace rho y tmp; | ||
destabilize y; | ||
(* make y a widening point. This will only matter for the next side _ y. *) | ||
if tracing && not (HM.mem wpoint y) then trace "wpoint" "side adding wpoint %a" S.Var.pretty_trace y; | ||
HM.replace wpoint y () | ||
) | ||
in | ||
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(* begining of iterate*) | ||
if tracing then trace "iter" "begin iterate %a, called: %b, stable: %b, wpoint: %b" S.Var.pretty_trace x (HM.mem called x) (HM.mem stable x) (HM.mem wpoint x); | ||
init x; | ||
assert (S.system x <> None); | ||
if not (HM.mem stable x) then ( | ||
HM.replace stable x (); | ||
let wp = HM.mem wpoint x in (* if x becomes a wpoint during eq, checking this will delay widening until next iterate *) | ||
let eqd = eq x (query x) (side x) in (* d from equation/rhs *) | ||
let old = HM.find rho x in (* d from older iterate *) | ||
let wpd = (* d after widen/narrow (if wp) *) | ||
if not wp then eqd | ||
else ( | ||
if M.tracing then M.trace "wpoint" "widen %a" S.Var.pretty_trace x; | ||
box old eqd) | ||
in | ||
if not (Timing.wrap "S.Dom.equal" (fun () -> S.Dom.equal old wpd) ()) then ( | ||
(* old != wpd *) | ||
if tracing && not (S.Dom.is_bot old) then trace "update" "%a (wpx: %b): %a" S.Var.pretty_trace x (HM.mem wpoint x) S.Dom.pretty_diff (wpd, old); | ||
update_var_event x old wpd; | ||
HM.replace rho x wpd; | ||
destabilize x; | ||
if tracing then trace "iter" "iterate changed %a" S.Var.pretty_trace x; | ||
(iterate[@tailcall]) x | ||
) else ( | ||
(* old == wpd *) | ||
if not (HM.mem stable x) then ( | ||
(* value unchanged, but not stable, i.e. destabilized itself during rhs *) | ||
if tracing then trace "iter" "iterate still unstable %a" S.Var.pretty_trace x; | ||
(iterate[@tailcall]) x | ||
) else ( | ||
(* this makes e.g. nested loops precise, ex. tests/regression/34-localization/01-nested.c - if we do not remove wpoint, the inner loop head will stay a wpoint and widen the outer loop variable. *) | ||
if tracing && (HM.mem wpoint x) then trace "wpoint" "iterate removing wpoint %a" S.Var.pretty_trace x; | ||
HM.remove wpoint x | ||
) | ||
) | ||
) | ||
in | ||
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let set_start (x,d) = | ||
init x; | ||
HM.replace rho x d; | ||
HM.replace stable x (); | ||
in | ||
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(* beginning of main solve *) | ||
start_event (); | ||
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List.iter set_start st; | ||
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List.iter init vs; | ||
(* If we have multiple start variables vs, we might solve v1, then while solving v2 we side some global which v1 depends on with a new value. Then v1 is no longer stable and we have to solve it again. *) | ||
let i = ref 0 in | ||
let rec solver () = (* as while loop in paper *) | ||
incr i; | ||
let unstable_vs = List.filter (neg (HM.mem stable)) vs in | ||
if unstable_vs <> [] then ( | ||
if Logs.Level.should_log Debug then ( | ||
if !i = 1 then Logs.newline (); | ||
Logs.debug "Unstable solver start vars in %d. phase:" !i; | ||
List.iter (fun v -> Logs.debug "\t%a" S.Var.pretty_trace v) unstable_vs; | ||
Logs.newline (); | ||
flush_all (); | ||
); | ||
List.iter (fun x -> HM.replace called x (); | ||
if tracing then trace "multivar" "solving for %a" S.Var.pretty_trace x; | ||
iterate x; | ||
HM.remove called x | ||
) unstable_vs; | ||
solver (); | ||
) | ||
in | ||
solver (); | ||
(* After termination, only those variables are stable which are | ||
* - reachable from any of the queried variables vs, or | ||
* - effected by side-effects and have no constraints on their own (this should be the case for all of our analyses). *) | ||
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stop_event (); | ||
if Logs.Level.should_log Debug then ( | ||
Logs.debug "Data after iterate completed"; | ||
Logs.debug "|rho|=%d" (HM.length rho); | ||
Logs.debug "|stable|=%d" (HM.length stable); | ||
Logs.debug "|infl|=%d" (HM.length infl); | ||
Logs.debug "|wpoint|=%d" (HM.length wpoint) | ||
); | ||
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if GobConfig.get_bool "dbg.print_wpoints" then ( | ||
Logs.newline (); | ||
Logs.debug "Widening points:"; | ||
HM.iter (fun k () -> Logs.debug "%a" S.Var.pretty_trace k) wpoint; | ||
Logs.newline (); | ||
); | ||
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rho | ||
end | ||
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let () = | ||
Selector.add_solver ("td_simplified", (module PostSolver.EqIncrSolverFromEqSolver (Base))); |