mirror of
https://github.com/GaloisInc/cryptol.git
synced 2024-12-18 05:21:57 +03:00
121 lines
7.7 KiB
Haskell
121 lines
7.7 KiB
Haskell
-----------------------------------------------------------------------------
|
|
-- |
|
|
-- Module : Data.SBV.SMT.SMTLib
|
|
-- Copyright : (c) Levent Erkok
|
|
-- License : BSD3
|
|
-- Maintainer : erkokl@gmail.com
|
|
-- Stability : experimental
|
|
--
|
|
-- Conversion of symbolic programs to SMTLib format
|
|
-----------------------------------------------------------------------------
|
|
|
|
module Data.SBV.SMT.SMTLib(SMTLibPgm, SMTLibConverter, toSMTLib1, toSMTLib2, addNonEqConstraints, interpretSolverOutput, interpretSolverModelLine) where
|
|
|
|
import Data.Char (isDigit)
|
|
|
|
import Data.SBV.BitVectors.Data
|
|
import Data.SBV.Provers.SExpr
|
|
import qualified Data.SBV.SMT.SMTLib1 as SMT1
|
|
import qualified Data.SBV.SMT.SMTLib2 as SMT2
|
|
|
|
import qualified Data.Set as Set (Set, member, toList)
|
|
|
|
-- | An instance of SMT-Lib converter; instantiated for SMT-Lib v1 and v2. (And potentially for newer versions in the future.)
|
|
type SMTLibConverter = RoundingMode -- ^ User selected rounding mode to be used for floating point arithmetic
|
|
-> Maybe Logic -- ^ User selected logic to use. If Nothing, pick automatically.
|
|
-> SolverCapabilities -- ^ Capabilities of the backend solver targeted
|
|
-> Set.Set Kind -- ^ Kinds used in the problem
|
|
-> Bool -- ^ is this a sat problem?
|
|
-> [String] -- ^ extra comments to place on top
|
|
-> [(Quantifier, NamedSymVar)] -- ^ inputs and aliasing names
|
|
-> [Either SW (SW, [SW])] -- ^ skolemized inputs
|
|
-> [(SW, CW)] -- ^ constants
|
|
-> [((Int, Kind, Kind), [SW])] -- ^ auto-generated tables
|
|
-> [(Int, ArrayInfo)] -- ^ user specified arrays
|
|
-> [(String, SBVType)] -- ^ uninterpreted functions/constants
|
|
-> [(String, [String])] -- ^ user given axioms
|
|
-> SBVPgm -- ^ assignments
|
|
-> [SW] -- ^ extra constraints
|
|
-> SW -- ^ output variable
|
|
-> SMTLibPgm
|
|
|
|
-- | Convert to SMTLib-1 format
|
|
toSMTLib1 :: SMTLibConverter
|
|
|
|
-- | Convert to SMTLib-2 format
|
|
toSMTLib2 :: SMTLibConverter
|
|
(toSMTLib1, toSMTLib2) = (cvt SMTLib1, cvt SMTLib2)
|
|
where cvt v roundMode smtLogic solverCaps kindInfo isSat comments qinps skolemMap consts tbls arrs uis axs asgnsSeq cstrs out
|
|
| KUnbounded `Set.member` kindInfo && not (supportsUnboundedInts solverCaps)
|
|
= unsupported "unbounded integers"
|
|
| KReal `Set.member` kindInfo && not (supportsReals solverCaps)
|
|
= unsupported "algebraic reals"
|
|
| needsFloats && not (supportsFloats solverCaps)
|
|
= unsupported "single-precision floating-point numbers"
|
|
| needsDoubles && not (supportsDoubles solverCaps)
|
|
= unsupported "double-precision floating-point numbers"
|
|
| needsQuantifiers && not (supportsQuantifiers solverCaps)
|
|
= unsupported "quantifiers"
|
|
| not (null sorts) && not (supportsUninterpretedSorts solverCaps)
|
|
= unsupported "uninterpreted sorts"
|
|
| True
|
|
= SMTLibPgm v (aliasTable, pre, post)
|
|
where sorts = [s | KUninterpreted s <- Set.toList kindInfo]
|
|
unsupported w = error $ "SBV: Given problem needs " ++ w ++ ", which is not supported by SBV for the chosen solver: " ++ capSolverName solverCaps
|
|
aliasTable = map (\(_, (x, y)) -> (y, x)) qinps
|
|
converter = if v == SMTLib1 then SMT1.cvt else SMT2.cvt
|
|
(pre, post) = converter roundMode smtLogic solverCaps kindInfo isSat comments qinps skolemMap consts tbls arrs uis axs asgnsSeq cstrs out
|
|
needsFloats = KFloat `Set.member` kindInfo
|
|
needsDoubles = KDouble `Set.member` kindInfo
|
|
needsQuantifiers
|
|
| isSat = ALL `elem` quantifiers
|
|
| True = EX `elem` quantifiers
|
|
where quantifiers = map fst qinps
|
|
|
|
-- | Add constraints generated from older models, used for querying new models
|
|
addNonEqConstraints :: RoundingMode -> [(Quantifier, NamedSymVar)] -> [[(String, CW)]] -> SMTLibPgm -> Maybe String
|
|
addNonEqConstraints rm _qinps cs p@(SMTLibPgm SMTLib1 _) = SMT1.addNonEqConstraints rm cs p
|
|
addNonEqConstraints rm qinps cs p@(SMTLibPgm SMTLib2 _) = SMT2.addNonEqConstraints rm qinps cs p
|
|
|
|
-- | Interpret solver output based on SMT-Lib standard output responses
|
|
interpretSolverOutput :: SMTConfig -> ([String] -> SMTModel) -> [String] -> SMTResult
|
|
interpretSolverOutput cfg _ ("unsat":_) = Unsatisfiable cfg
|
|
interpretSolverOutput cfg extractMap ("unknown":rest) = Unknown cfg $ extractMap rest
|
|
interpretSolverOutput cfg extractMap ("sat":rest) = Satisfiable cfg $ extractMap rest
|
|
interpretSolverOutput cfg _ ("timeout":_) = TimeOut cfg
|
|
interpretSolverOutput cfg _ ls = ProofError cfg ls
|
|
|
|
-- | Get a counter-example from an SMT-Lib2 like model output line
|
|
-- This routing is necessarily fragile as SMT solvers tend to print output
|
|
-- in whatever form they deem convenient for them.. Currently, it's tuned to
|
|
-- work with Z3 and CVC4; if new solvers are added, we might need to rework
|
|
-- the logic here.
|
|
interpretSolverModelLine :: [NamedSymVar] -> String -> [(Int, (String, CW))]
|
|
interpretSolverModelLine inps line = either err extract (parseSExpr line)
|
|
where err r = error $ "*** Failed to parse SMT-Lib2 model output from: "
|
|
++ "*** " ++ show line ++ "\n"
|
|
++ "*** Reason: " ++ r ++ "\n"
|
|
getInput (ECon v) = isInput v
|
|
getInput (EApp (ECon v : _)) = isInput v
|
|
getInput _ = Nothing
|
|
isInput ('s':v)
|
|
| all isDigit v = let inpId :: Int
|
|
inpId = read v
|
|
in case [(s, nm) | (s@(SW _ (NodeId n)), nm) <- inps, n == inpId] of
|
|
[] -> Nothing
|
|
[(s, nm)] -> Just (inpId, s, nm)
|
|
matches -> error $ "SBV.SMTLib2: Cannot uniquely identify value for "
|
|
++ 's':v ++ " in " ++ show matches
|
|
isInput _ = Nothing
|
|
extract (EApp [EApp [v, ENum i]]) | Just (n, s, nm) <- getInput v = [(n, (nm, mkConstCW (kindOf s) i))]
|
|
extract (EApp [EApp [v, EReal i]]) | Just (n, s, nm) <- getInput v, isReal s = [(n, (nm, CW KReal (CWAlgReal i)))]
|
|
extract (EApp [EApp [v, ECon i]]) | Just (n, s, nm) <- getInput v, isUninterpreted s = [(n, (nm, CW (kindOf s) (CWUninterpreted i)))]
|
|
extract (EApp [EApp [v, EDouble i]]) | Just (n, s, nm) <- getInput v, isDouble s = [(n, (nm, CW KDouble (CWDouble i)))]
|
|
extract (EApp [EApp [v, EFloat i]]) | Just (n, s, nm) <- getInput v, isFloat s = [(n, (nm, CW KFloat (CWFloat i)))]
|
|
-- weird lambda app that CVC4 seems to throw out.. logic below derived from what I saw CVC4 print, hopefully sufficient
|
|
extract (EApp (EApp (v : EApp (ECon "LAMBDA" : xs) : _) : _)) | Just{} <- getInput v, not (null xs) = extract (EApp [EApp [v, last xs]])
|
|
extract (EApp [EApp (v : r)]) | Just (_, _, nm) <- getInput v = error $ "SBV.SMTLib2: Cannot extract value for " ++ show nm
|
|
++ "\n\tInput: " ++ show line
|
|
++ "\n\tParse: " ++ show r
|
|
extract _ = []
|