StateEquation.hs 2.36 KB
 Philipp Meyer committed May 09, 2014 1 2 ``````module Solver.StateEquation (checkStateEquation,checkStateEquationSat, `````` Philipp Meyer committed Dec 16, 2014 3 `````` markedPlacesFromAssignment,Trap) `````` Philipp Meyer committed May 09, 2014 4 5 6 ``````where import Data.SBV `````` Philipp Meyer committed Dec 16, 2014 7 ``````import Control.Monad `````` Philipp Meyer committed May 09, 2014 8 9 10 11 12 13 `````` import PetriNet import Property import Solver import Solver.Formula `````` Philipp Meyer committed Dec 16, 2014 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 ``````type Trap = [Place] placeConstraints :: PetriNet -> VarMap Place -> VarMap Transition -> IntConstraint placeConstraints net m x = liftM bAnd \$ mapM checkPlaceEquation \$ places net where checkPlaceEquation p = do mp <- val m p incoming <- mapM addTransition \$ lpre net p outgoing <- mapM addTransition \$ lpost net p let pinit = literal \$ initial net p return \$ pinit + sum incoming - sum outgoing .== mp addTransition (t,w) = do xt <- val x t return \$ literal w * xt nonNegativityConstraints :: PetriNet -> VarMap Place -> VarMap Transition -> IntConstraint nonNegativityConstraints net m x = do mnn <- mapM (checkVal m) (places net) xnn <- mapM (checkVal x) (transitions net) return \$ bAnd mnn &&& bAnd xnn where checkVal mapping n = do mn <- val mapping n return \$ mn .>= 0 checkTraps :: [Trap] -> VarMap Place -> IntConstraint checkTraps traps m = do tc <- mapM checkTrapDelta traps return \$ bAnd tc where checkTrapDelta trap = do mts <- mapM (val m) trap return \$ sum mts .>= 1 checkStateEquation :: PetriNet -> Formula Place -> VarMap Place -> VarMap Transition -> [Trap] -> IntConstraint checkStateEquation net f m x traps = do c1 <- placeConstraints net m x c2 <- nonNegativityConstraints net m x c3 <- checkTraps traps m c4 <- evaluateFormula f m return \$ c1 &&& c2 &&& c3 &&& c4 checkStateEquationSat :: PetriNet -> Formula Place -> [Trap] -> ([String], IntConstraint, IntResult Trap) `````` Philipp Meyer committed May 09, 2014 59 ``````checkStateEquationSat net f traps = `````` Philipp Meyer committed Dec 16, 2014 60 61 62 63 64 65 66 67 68 69 `````` let m = makeVarMap \$ places net x = makeVarMap \$ transitions net in (getNames m ++ getNames x, checkStateEquation net f m x traps, markedPlacesFromAssignment net m) markedPlacesFromAssignment :: PetriNet -> VarMap Place -> IntResult [Place] markedPlacesFromAssignment net m = filterM (liftM (> 0) . val m) \$ places net `````` Philipp Meyer committed May 09, 2014 70