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Merge pull request #13 from GaloisInc/floating-point
Add support for floating-point.
This commit is contained in:
commit
bd906c85a9
@ -40,6 +40,7 @@ library
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lens >= 4.7,
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lens >= 4.7,
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mtl,
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mtl,
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parameterized-utils >= 1.0.1,
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parameterized-utils >= 1.0.1,
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template-haskell,
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text,
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text,
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vector,
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vector,
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QuickCheck >= 2.7
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QuickCheck >= 2.7
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@ -6,15 +6,20 @@ The type of machine words, including bit vectors and floating point
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-}
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-}
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{-# LANGUAGE ConstraintKinds #-}
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{-# LANGUAGE ConstraintKinds #-}
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{-# LANGUAGE DataKinds #-}
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{-# LANGUAGE DataKinds #-}
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{-# LANGUAGE DeriveLift #-}
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{-# LANGUAGE FlexibleContexts #-}
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{-# LANGUAGE FlexibleContexts #-}
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{-# LANGUAGE FunctionalDependencies #-}
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{-# LANGUAGE FunctionalDependencies #-}
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{-# LANGUAGE KindSignatures #-}
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{-# LANGUAGE TypeOperators #-}
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{-# LANGUAGE GADTs #-}
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{-# LANGUAGE GADTs #-}
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{-# LANGUAGE KindSignatures #-}
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{-# LANGUAGE LambdaCase #-}
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{-# LANGUAGE MultiParamTypeClasses #-}
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{-# LANGUAGE MultiParamTypeClasses #-}
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{-# LANGUAGE PatternGuards #-}
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{-# LANGUAGE PolyKinds #-}
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{-# LANGUAGE PolyKinds #-}
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{-# LANGUAGE StandaloneDeriving #-}
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{-# LANGUAGE StandaloneDeriving #-}
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{-# LANGUAGE TemplateHaskell #-}
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{-# LANGUAGE TypeApplications #-}
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{-# LANGUAGE TypeFamilies #-}
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{-# LANGUAGE TypeFamilies #-}
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{-# LANGUAGE TypeOperators #-}
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{-# LANGUAGE TypeSynonymInstances #-}
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{-# LANGUAGE TypeSynonymInstances #-}
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{-# LANGUAGE UndecidableInstances #-}
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{-# LANGUAGE UndecidableInstances #-}
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module Data.Macaw.Types
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module Data.Macaw.Types
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@ -27,8 +32,10 @@ module Data.Macaw.Types
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import Data.Parameterized.Classes
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import Data.Parameterized.Classes
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import qualified Data.Parameterized.List as P
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import qualified Data.Parameterized.List as P
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import Data.Parameterized.NatRepr
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import Data.Parameterized.NatRepr
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import Data.Parameterized.TH.GADT
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import Data.Parameterized.TraversableFC
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import Data.Parameterized.TraversableFC
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import GHC.TypeLits
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import GHC.TypeLits
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import qualified Language.Haskell.TH.Syntax as TH
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import Text.PrettyPrint.ANSI.Leijen hiding ((<$>))
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import Text.PrettyPrint.ANSI.Leijen hiding ((<$>))
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-- FIXME: move
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-- FIXME: move
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@ -68,16 +75,8 @@ n256 = knownNat
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data Type
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data Type
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= -- | A bitvector with the given number of bits.
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= -- | A bitvector with the given number of bits.
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BVType Nat
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BVType Nat
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-- | 64 bit binary IEE754
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-- | A floating point in the given format.
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| DoubleFloat
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| FloatType FloatInfo
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-- | 32 bit binary IEE754
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| SingleFloat
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-- | X86 80-bit extended floats
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| X86_80Float
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-- | 128 bit binary IEE754
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| QuadFloat
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-- | 16 bit binary IEE754
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| HalfFloat
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-- | A Boolean value
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-- | A Boolean value
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| BoolType
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| BoolType
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-- | A tuple of types
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-- | A tuple of types
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@ -90,25 +89,17 @@ type family TypeBytes (tp :: Type) :: Nat where
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TypeBytes (BVType 16) = 2
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TypeBytes (BVType 16) = 2
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TypeBytes (BVType 32) = 4
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TypeBytes (BVType 32) = 4
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TypeBytes (BVType 64) = 8
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TypeBytes (BVType 64) = 8
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TypeBytes HalfFloat = 2
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TypeBytes (FloatType fi) = FloatInfoBytes fi
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TypeBytes SingleFloat = 4
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TypeBytes DoubleFloat = 8
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TypeBytes QuadFloat = 16
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TypeBytes X86_80Float = 10
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-- Return number of bits in the type.
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-- Return number of bits in the type.
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type family TypeBits (tp :: Type) :: Nat where
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type family TypeBits (tp :: Type) :: Nat where
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TypeBits (BVType n) = n
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TypeBits (BVType n) = n
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TypeBits HalfFloat = 16
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TypeBits (FloatType fi) = 8 * FloatInfoBytes fi
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TypeBits SingleFloat = 32
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TypeBits DoubleFloat = 64
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TypeBits QuadFloat = 128
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TypeBits X86_80Float = 80
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type FloatType tp = BVType (8 * TypeBytes tp)
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type BVType = 'BVType
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type BVType = 'BVType
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type FloatType = 'FloatType
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type BoolType = 'BoolType
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type BoolType = 'BoolType
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type TupleType = 'TupleType
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type TupleType = 'TupleType
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@ -117,33 +108,16 @@ type TupleType = 'TupleType
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data TypeRepr (tp :: Type) where
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data TypeRepr (tp :: Type) where
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BoolTypeRepr :: TypeRepr BoolType
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BoolTypeRepr :: TypeRepr BoolType
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BVTypeRepr :: (1 <= n) => !(NatRepr n) -> TypeRepr (BVType n)
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BVTypeRepr :: (1 <= n) => !(NatRepr n) -> TypeRepr (BVType n)
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FloatTypeRepr :: !(FloatInfoRepr fi) -> TypeRepr (FloatType fi)
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TupleTypeRepr :: !(P.List TypeRepr ctx) -> TypeRepr (TupleType ctx)
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TupleTypeRepr :: !(P.List TypeRepr ctx) -> TypeRepr (TupleType ctx)
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type_width :: TypeRepr (BVType n) -> NatRepr n
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type_width :: TypeRepr (BVType n) -> NatRepr n
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type_width (BVTypeRepr n) = n
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type_width (BVTypeRepr n) = n
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instance TestEquality TypeRepr where
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testEquality BoolTypeRepr BoolTypeRepr = do
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return Refl
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testEquality (BVTypeRepr m) (BVTypeRepr n) = do
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Refl <- testEquality m n
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return Refl
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testEquality _ _ = Nothing
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instance OrdF TypeRepr where
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compareF BoolTypeRepr BoolTypeRepr = EQF
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compareF BoolTypeRepr _ = LTF
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compareF _ BoolTypeRepr = GTF
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compareF (BVTypeRepr m) (BVTypeRepr n) = do
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lexCompareF m n EQF
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compareF BVTypeRepr{} _ = LTF
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compareF _ BVTypeRepr{} = GTF
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compareF (TupleTypeRepr x) (TupleTypeRepr y) =
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lexCompareF x y EQF
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instance Show (TypeRepr tp) where
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instance Show (TypeRepr tp) where
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show BoolTypeRepr = "bool"
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show BoolTypeRepr = "bool"
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show (BVTypeRepr w) = "[" ++ show w ++ "]"
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show (BVTypeRepr w) = "[" ++ show w ++ "]"
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show (FloatTypeRepr fi) = show fi ++ "_float"
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show (TupleTypeRepr P.Nil) = "()"
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show (TupleTypeRepr P.Nil) = "()"
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show (TupleTypeRepr (h P.:< z)) =
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show (TupleTypeRepr (h P.:< z)) =
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"(" ++ show h ++ foldrFC (\tp r -> "," ++ show tp ++ r) ")" z
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"(" ++ show h ++ foldrFC (\tp r -> "," ++ show tp ++ r) ")" z
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@ -154,97 +128,124 @@ instance KnownRepr TypeRepr BoolType where
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instance (KnownNat n, 1 <= n) => KnownRepr TypeRepr (BVType n) where
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instance (KnownNat n, 1 <= n) => KnownRepr TypeRepr (BVType n) where
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knownRepr = BVTypeRepr knownNat
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knownRepr = BVTypeRepr knownNat
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instance (KnownRepr FloatInfoRepr fi) => KnownRepr TypeRepr (FloatType fi) where
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knownRepr = FloatTypeRepr knownRepr
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instance (KnownRepr (P.List TypeRepr) l) => KnownRepr TypeRepr (TupleType l) where
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instance (KnownRepr (P.List TypeRepr) l) => KnownRepr TypeRepr (TupleType l) where
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knownRepr = TupleTypeRepr knownRepr
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knownRepr = TupleTypeRepr knownRepr
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------------------------------------------------------------------------
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------------------------------------------------------------------------
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-- Floating point sizes
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-- Floating point sizes
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data FloatInfo
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= HalfFloat -- ^ 16 bit binary IEE754
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| SingleFloat -- ^ 32 bit binary IEE754
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| DoubleFloat -- ^ 64 bit binary IEE754
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| QuadFloat -- ^ 128 bit binary IEE754
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| X86_80Float -- ^ X86 80-bit extended floats
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type HalfFloat = 'HalfFloat
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type SingleFloat = 'SingleFloat
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type SingleFloat = 'SingleFloat
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type DoubleFloat = 'DoubleFloat
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type DoubleFloat = 'DoubleFloat
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type X86_80Float = 'X86_80Float
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type QuadFloat = 'QuadFloat
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type QuadFloat = 'QuadFloat
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type HalfFloat = 'HalfFloat
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type X86_80Float = 'X86_80Float
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data FloatInfoRepr (flt::Type) where
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data FloatInfoRepr (fi :: FloatInfo) where
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DoubleFloatRepr :: FloatInfoRepr DoubleFloat
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SingleFloatRepr :: FloatInfoRepr SingleFloat
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X86_80FloatRepr :: FloatInfoRepr X86_80Float
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QuadFloatRepr :: FloatInfoRepr QuadFloat
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HalfFloatRepr :: FloatInfoRepr HalfFloat
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HalfFloatRepr :: FloatInfoRepr HalfFloat
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SingleFloatRepr :: FloatInfoRepr SingleFloat
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DoubleFloatRepr :: FloatInfoRepr DoubleFloat
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QuadFloatRepr :: FloatInfoRepr QuadFloat
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X86_80FloatRepr :: FloatInfoRepr X86_80Float
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deriving instance Show (FloatInfoRepr tp)
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instance KnownRepr FloatInfoRepr HalfFloat where
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knownRepr = HalfFloatRepr
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instance KnownRepr FloatInfoRepr SingleFloat where
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knownRepr = SingleFloatRepr
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instance KnownRepr FloatInfoRepr DoubleFloat where
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knownRepr = DoubleFloatRepr
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instance KnownRepr FloatInfoRepr QuadFloat where
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knownRepr = QuadFloatRepr
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instance KnownRepr FloatInfoRepr X86_80Float where
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knownRepr = X86_80FloatRepr
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instance TestEquality FloatInfoRepr where
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instance Show (FloatInfoRepr fi) where
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testEquality x y = orderingF_refl (compareF x y)
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show HalfFloatRepr = "half"
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show SingleFloatRepr = "single"
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show DoubleFloatRepr = "double"
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show QuadFloatRepr = "quad"
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show X86_80FloatRepr = "x87_80"
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instance OrdF FloatInfoRepr where
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instance Pretty (FloatInfoRepr fi) where
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compareF DoubleFloatRepr DoubleFloatRepr = EQF
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pretty = text . show
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compareF DoubleFloatRepr _ = LTF
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compareF _ DoubleFloatRepr = GTF
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compareF SingleFloatRepr SingleFloatRepr = EQF
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deriving instance TH.Lift (FloatInfoRepr fi)
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compareF SingleFloatRepr _ = LTF
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compareF _ SingleFloatRepr = GTF
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compareF X86_80FloatRepr X86_80FloatRepr = EQF
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type family FloatInfoBytes (fi :: FloatInfo) :: Nat where
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compareF X86_80FloatRepr _ = LTF
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FloatInfoBytes HalfFloat = 2
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compareF _ X86_80FloatRepr = GTF
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FloatInfoBytes SingleFloat = 4
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FloatInfoBytes DoubleFloat = 8
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FloatInfoBytes QuadFloat = 16
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FloatInfoBytes X86_80Float = 10
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compareF QuadFloatRepr QuadFloatRepr = EQF
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floatInfoBytes :: FloatInfoRepr fi -> NatRepr (FloatInfoBytes fi)
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compareF QuadFloatRepr _ = LTF
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floatInfoBytes = \case
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compareF _ QuadFloatRepr = GTF
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compareF HalfFloatRepr HalfFloatRepr = EQF
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instance Pretty (FloatInfoRepr flt) where
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pretty DoubleFloatRepr = text "double"
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pretty SingleFloatRepr = text "single"
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pretty X86_80FloatRepr = text "x87_80"
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pretty QuadFloatRepr = text "quad"
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pretty HalfFloatRepr = text "half"
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floatInfoBytes :: FloatInfoRepr flt -> NatRepr (TypeBytes flt)
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floatInfoBytes fir =
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case fir of
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HalfFloatRepr -> knownNat
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HalfFloatRepr -> knownNat
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SingleFloatRepr -> knownNat
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SingleFloatRepr -> knownNat
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DoubleFloatRepr -> knownNat
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DoubleFloatRepr -> knownNat
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QuadFloatRepr -> knownNat
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QuadFloatRepr -> knownNat
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X86_80FloatRepr -> knownNat
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X86_80FloatRepr -> knownNat
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|
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floatInfoBytesIsPos :: FloatInfoRepr flt -> LeqProof 1 (TypeBytes flt)
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floatInfoBytesIsPos :: FloatInfoRepr fi -> LeqProof 1 (FloatInfoBytes fi)
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floatInfoBytesIsPos fir =
|
floatInfoBytesIsPos = \case
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case fir of
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HalfFloatRepr -> LeqProof
|
HalfFloatRepr -> LeqProof
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SingleFloatRepr -> LeqProof
|
SingleFloatRepr -> LeqProof
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DoubleFloatRepr -> LeqProof
|
DoubleFloatRepr -> LeqProof
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QuadFloatRepr -> LeqProof
|
QuadFloatRepr -> LeqProof
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X86_80FloatRepr -> LeqProof
|
X86_80FloatRepr -> LeqProof
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|
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|
type FloatInfoBits (fi :: FloatInfo) = 8 * FloatInfoBytes fi
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|
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floatInfoBits :: FloatInfoRepr flt -> NatRepr (8 * TypeBytes flt)
|
floatInfoBits :: FloatInfoRepr fi -> NatRepr (FloatInfoBits fi)
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floatInfoBits fir = natMultiply (knownNat :: NatRepr 8) (floatInfoBytes fir)
|
floatInfoBits = natMultiply (knownNat @8) . floatInfoBytes
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|
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floatTypeRepr :: FloatInfoRepr flt -> TypeRepr (BVType (8 * TypeBytes flt))
|
floatInfoBitsIsPos :: FloatInfoRepr fi -> LeqProof 1 (FloatInfoBits fi)
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floatTypeRepr fir =
|
floatInfoBitsIsPos = \case
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case fir of
|
|
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HalfFloatRepr -> knownRepr
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|
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SingleFloatRepr -> knownRepr
|
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DoubleFloatRepr -> knownRepr
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QuadFloatRepr -> knownRepr
|
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X86_80FloatRepr -> knownRepr
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|
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floatInfoBitsIsPos :: FloatInfoRepr flt -> LeqProof 1 (8 * TypeBytes flt)
|
|
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floatInfoBitsIsPos fir =
|
|
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case fir of
|
|
||||||
HalfFloatRepr -> LeqProof
|
HalfFloatRepr -> LeqProof
|
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SingleFloatRepr -> LeqProof
|
SingleFloatRepr -> LeqProof
|
||||||
DoubleFloatRepr -> LeqProof
|
DoubleFloatRepr -> LeqProof
|
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QuadFloatRepr -> LeqProof
|
QuadFloatRepr -> LeqProof
|
||||||
X86_80FloatRepr -> LeqProof
|
X86_80FloatRepr -> LeqProof
|
||||||
|
|
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|
-- | The bitvector associted with the given floating-point format.
|
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|
type FloatBVType (fi :: FloatInfo) = BVType (FloatInfoBits fi)
|
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|
|
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|
floatBVTypeRepr :: FloatInfoRepr fi -> TypeRepr (FloatBVType fi)
|
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|
floatBVTypeRepr fi | LeqProof <- floatInfoBitsIsPos fi =
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|
BVTypeRepr $ floatInfoBits fi
|
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|
|
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|
$(return [])
|
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|
|
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|
instance TestEquality TypeRepr where
|
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|
testEquality = $(structuralTypeEquality [t|TypeRepr|]
|
||||||
|
[ (ConType [t|NatRepr|] `TypeApp` AnyType, [|testEquality|])
|
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|
, (ConType [t|FloatInfoRepr|] `TypeApp` AnyType, [|testEquality|])
|
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|
, ( ConType [t|P.List|] `TypeApp` AnyType `TypeApp` AnyType
|
||||||
|
, [|testEquality|]
|
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|
)
|
||||||
|
])
|
||||||
|
|
||||||
|
instance OrdF TypeRepr where
|
||||||
|
compareF = $(structuralTypeOrd [t|TypeRepr|]
|
||||||
|
[ (ConType [t|NatRepr|] `TypeApp` AnyType, [|compareF|])
|
||||||
|
, (ConType [t|FloatInfoRepr|] `TypeApp` AnyType, [|compareF|])
|
||||||
|
, (ConType [t|P.List|] `TypeApp` AnyType `TypeApp` AnyType, [|compareF|])
|
||||||
|
])
|
||||||
|
|
||||||
|
instance TestEquality FloatInfoRepr where
|
||||||
|
testEquality = $(structuralTypeEquality [t|FloatInfoRepr|] [])
|
||||||
|
instance OrdF FloatInfoRepr where
|
||||||
|
compareF = $(structuralTypeOrd [t|FloatInfoRepr|] [])
|
||||||
|
|
||||||
------------------------------------------------------------------------
|
------------------------------------------------------------------------
|
||||||
--
|
--
|
||||||
|
|
||||||
|
@ -26,6 +26,8 @@ module Data.Macaw.Symbolic
|
|||||||
, mkFunCFG
|
, mkFunCFG
|
||||||
, Data.Macaw.Symbolic.PersistentState.ArchRegContext
|
, Data.Macaw.Symbolic.PersistentState.ArchRegContext
|
||||||
, Data.Macaw.Symbolic.PersistentState.ToCrucibleType
|
, Data.Macaw.Symbolic.PersistentState.ToCrucibleType
|
||||||
|
, Data.Macaw.Symbolic.PersistentState.ToCrucibleFloatInfo
|
||||||
|
, Data.Macaw.Symbolic.PersistentState.floatInfoToCrucible
|
||||||
, Data.Macaw.Symbolic.PersistentState.macawAssignToCrucM
|
, Data.Macaw.Symbolic.PersistentState.macawAssignToCrucM
|
||||||
, Data.Macaw.Symbolic.CrucGen.ArchRegStruct
|
, Data.Macaw.Symbolic.CrucGen.ArchRegStruct
|
||||||
, Data.Macaw.Symbolic.CrucGen.MacawCrucibleRegTypes
|
, Data.Macaw.Symbolic.CrucGen.MacawCrucibleRegTypes
|
||||||
@ -52,6 +54,7 @@ import Data.Parameterized.Context as Ctx
|
|||||||
import Data.Word
|
import Data.Word
|
||||||
|
|
||||||
import qualified What4.FunctionName as C
|
import qualified What4.FunctionName as C
|
||||||
|
import What4.InterpretedFloatingPoint
|
||||||
import What4.Interface
|
import What4.Interface
|
||||||
import qualified What4.ProgramLoc as C
|
import qualified What4.ProgramLoc as C
|
||||||
import What4.Symbol (userSymbol)
|
import What4.Symbol (userSymbol)
|
||||||
@ -459,6 +462,10 @@ freshValue sym str w ty =
|
|||||||
offs <- freshConstant sym nm (C.BaseBVRepr y)
|
offs <- freshConstant sym nm (C.BaseBVRepr y)
|
||||||
return (MM.LLVMPointer base offs)
|
return (MM.LLVMPointer base offs)
|
||||||
|
|
||||||
|
M.FloatTypeRepr fi -> do
|
||||||
|
nm <- symName str
|
||||||
|
freshFloatConstant sym nm $ floatInfoToCrucible fi
|
||||||
|
|
||||||
M.BoolTypeRepr ->
|
M.BoolTypeRepr ->
|
||||||
do nm <- symName str
|
do nm <- symName str
|
||||||
freshConstant sym nm C.BaseBoolRepr
|
freshConstant sym nm C.BaseBoolRepr
|
||||||
|
@ -655,6 +655,7 @@ appToCrucible app = do
|
|||||||
Just Refl -> evalMacawStmt (PtrEq rW xv yv)
|
Just Refl -> evalMacawStmt (PtrEq rW xv yv)
|
||||||
Nothing ->
|
Nothing ->
|
||||||
appAtom =<< C.BVEq n <$> toBits n xv <*> toBits n yv
|
appAtom =<< C.BVEq n <$> toBits n xv <*> toBits n yv
|
||||||
|
M.FloatTypeRepr _ -> appAtom $ C.FloatEq xv yv
|
||||||
M.TupleTypeRepr _ -> fail "XXX: Equality on tuples not yet done."
|
M.TupleTypeRepr _ -> fail "XXX: Equality on tuples not yet done."
|
||||||
|
|
||||||
|
|
||||||
@ -670,6 +671,8 @@ appToCrucible app = do
|
|||||||
Just Refl -> evalMacawStmt (PtrMux rW cond tv fv)
|
Just Refl -> evalMacawStmt (PtrMux rW cond tv fv)
|
||||||
Nothing -> appBVAtom n =<<
|
Nothing -> appBVAtom n =<<
|
||||||
C.BVIte cond n <$> toBits n tv <*> toBits n fv
|
C.BVIte cond n <$> toBits n tv <*> toBits n fv
|
||||||
|
M.FloatTypeRepr fi ->
|
||||||
|
appAtom $ C.FloatIte (floatInfoToCrucible fi) cond tv fv
|
||||||
M.TupleTypeRepr _ -> fail "XXX: Mux on tuples not yet done."
|
M.TupleTypeRepr _ -> fail "XXX: Mux on tuples not yet done."
|
||||||
|
|
||||||
|
|
||||||
|
@ -8,6 +8,7 @@ This defines the monad used to map Reopt blocks to Crucible.
|
|||||||
{-# LANGUAGE DataKinds #-}
|
{-# LANGUAGE DataKinds #-}
|
||||||
{-# LANGUAGE FlexibleContexts #-}
|
{-# LANGUAGE FlexibleContexts #-}
|
||||||
{-# LANGUAGE GADTs #-}
|
{-# LANGUAGE GADTs #-}
|
||||||
|
{-# LANGUAGE LambdaCase #-}
|
||||||
{-# LANGUAGE MultiParamTypeClasses #-}
|
{-# LANGUAGE MultiParamTypeClasses #-}
|
||||||
{-# LANGUAGE OverloadedStrings #-}
|
{-# LANGUAGE OverloadedStrings #-}
|
||||||
{-# LANGUAGE PolyKinds #-}
|
{-# LANGUAGE PolyKinds #-}
|
||||||
@ -22,9 +23,13 @@ module Data.Macaw.Symbolic.PersistentState
|
|||||||
, initCrucPersistentState
|
, initCrucPersistentState
|
||||||
-- * Types
|
-- * Types
|
||||||
, ToCrucibleType
|
, ToCrucibleType
|
||||||
|
, ToCrucibleFloatInfo
|
||||||
|
, FromCrucibleFloatInfo
|
||||||
, CtxToCrucibleType
|
, CtxToCrucibleType
|
||||||
, ArchRegContext
|
, ArchRegContext
|
||||||
, typeToCrucible
|
, typeToCrucible
|
||||||
|
, floatInfoToCrucible
|
||||||
|
, floatInfoFromCrucible
|
||||||
, typeCtxToCrucible
|
, typeCtxToCrucible
|
||||||
, macawAssignToCrucM
|
, macawAssignToCrucM
|
||||||
, memReprToCrucible
|
, memReprToCrucible
|
||||||
@ -59,9 +64,23 @@ type family ToCrucibleTypeList (l :: [M.Type]) :: Ctx C.CrucibleType where
|
|||||||
|
|
||||||
type family ToCrucibleType (tp :: M.Type) :: C.CrucibleType where
|
type family ToCrucibleType (tp :: M.Type) :: C.CrucibleType where
|
||||||
ToCrucibleType (M.BVType w) = MM.LLVMPointerType w
|
ToCrucibleType (M.BVType w) = MM.LLVMPointerType w
|
||||||
|
ToCrucibleType (M.FloatType fi) = C.FloatType (ToCrucibleFloatInfo fi)
|
||||||
ToCrucibleType ('M.TupleType l) = C.StructType (ToCrucibleTypeList l)
|
ToCrucibleType ('M.TupleType l) = C.StructType (ToCrucibleTypeList l)
|
||||||
ToCrucibleType M.BoolType = C.BaseToType C.BaseBoolType
|
ToCrucibleType M.BoolType = C.BaseToType C.BaseBoolType
|
||||||
|
|
||||||
|
type family ToCrucibleFloatInfo (fi :: M.FloatInfo) :: C.FloatInfo where
|
||||||
|
ToCrucibleFloatInfo M.HalfFloat = C.HalfFloat
|
||||||
|
ToCrucibleFloatInfo M.SingleFloat = C.SingleFloat
|
||||||
|
ToCrucibleFloatInfo M.DoubleFloat = C.DoubleFloat
|
||||||
|
ToCrucibleFloatInfo M.QuadFloat = C.QuadFloat
|
||||||
|
ToCrucibleFloatInfo M.X86_80Float = C.X86_80Float
|
||||||
|
|
||||||
|
type family FromCrucibleFloatInfo (fi :: C.FloatInfo) :: M.FloatInfo where
|
||||||
|
FromCrucibleFloatInfo C.HalfFloat = M.HalfFloat
|
||||||
|
FromCrucibleFloatInfo C.SingleFloat = M.SingleFloat
|
||||||
|
FromCrucibleFloatInfo C.DoubleFloat = M.DoubleFloat
|
||||||
|
FromCrucibleFloatInfo C.QuadFloat = M.QuadFloat
|
||||||
|
FromCrucibleFloatInfo C.X86_80Float = M.X86_80Float
|
||||||
|
|
||||||
type family CtxToCrucibleType (mtp :: Ctx M.Type) :: Ctx C.CrucibleType where
|
type family CtxToCrucibleType (mtp :: Ctx M.Type) :: Ctx C.CrucibleType where
|
||||||
CtxToCrucibleType EmptyCtx = EmptyCtx
|
CtxToCrucibleType EmptyCtx = EmptyCtx
|
||||||
@ -92,8 +111,29 @@ typeToCrucible tp =
|
|||||||
case tp of
|
case tp of
|
||||||
M.BoolTypeRepr -> C.BoolRepr
|
M.BoolTypeRepr -> C.BoolRepr
|
||||||
M.BVTypeRepr w -> MM.LLVMPointerRepr w
|
M.BVTypeRepr w -> MM.LLVMPointerRepr w
|
||||||
|
M.FloatTypeRepr fi -> C.FloatRepr $ floatInfoToCrucible fi
|
||||||
M.TupleTypeRepr a -> C.StructRepr (typeListToCrucible a)
|
M.TupleTypeRepr a -> C.StructRepr (typeListToCrucible a)
|
||||||
|
|
||||||
|
floatInfoToCrucible
|
||||||
|
:: M.FloatInfoRepr fi -> C.FloatInfoRepr (ToCrucibleFloatInfo fi)
|
||||||
|
floatInfoToCrucible = \case
|
||||||
|
M.HalfFloatRepr -> knownRepr
|
||||||
|
M.SingleFloatRepr -> knownRepr
|
||||||
|
M.DoubleFloatRepr -> knownRepr
|
||||||
|
M.QuadFloatRepr -> knownRepr
|
||||||
|
M.X86_80FloatRepr -> knownRepr
|
||||||
|
|
||||||
|
floatInfoFromCrucible
|
||||||
|
:: C.FloatInfoRepr fi -> M.FloatInfoRepr (FromCrucibleFloatInfo fi)
|
||||||
|
floatInfoFromCrucible = \case
|
||||||
|
C.HalfFloatRepr -> knownRepr
|
||||||
|
C.SingleFloatRepr -> knownRepr
|
||||||
|
C.DoubleFloatRepr -> knownRepr
|
||||||
|
C.QuadFloatRepr -> knownRepr
|
||||||
|
C.X86_80FloatRepr -> knownRepr
|
||||||
|
fi ->
|
||||||
|
error $ "Unsupported Crucible floating-point format in Macaw: " ++ show fi
|
||||||
|
|
||||||
typeListToCrucible ::
|
typeListToCrucible ::
|
||||||
P.List M.TypeRepr ctx ->
|
P.List M.TypeRepr ctx ->
|
||||||
Assignment C.TypeRepr (ToCrucibleTypeList ctx)
|
Assignment C.TypeRepr (ToCrucibleTypeList ctx)
|
||||||
|
@ -210,8 +210,8 @@ sseOpName f =
|
|||||||
|
|
||||||
-- | A single or double value for floating-point restricted to this types.
|
-- | A single or double value for floating-point restricted to this types.
|
||||||
data SSE_FloatType tp where
|
data SSE_FloatType tp where
|
||||||
SSE_Single :: SSE_FloatType (FloatType SingleFloat)
|
SSE_Single :: SSE_FloatType (FloatBVType SingleFloat)
|
||||||
SSE_Double :: SSE_FloatType (FloatType DoubleFloat)
|
SSE_Double :: SSE_FloatType (FloatBVType DoubleFloat)
|
||||||
|
|
||||||
instance Show (SSE_FloatType tp) where
|
instance Show (SSE_FloatType tp) where
|
||||||
show SSE_Single = "single"
|
show SSE_Single = "single"
|
||||||
@ -225,9 +225,9 @@ instance HasRepr SSE_FloatType TypeRepr where
|
|||||||
-- X87 declarations
|
-- X87 declarations
|
||||||
|
|
||||||
data X87_FloatType tp where
|
data X87_FloatType tp where
|
||||||
X87_Single :: X87_FloatType (BVType 32)
|
X87_Single :: X87_FloatType (FloatBVType SingleFloat)
|
||||||
X87_Double :: X87_FloatType (BVType 64)
|
X87_Double :: X87_FloatType (FloatBVType DoubleFloat)
|
||||||
X87_ExtDouble :: X87_FloatType (BVType 80)
|
X87_ExtDouble :: X87_FloatType (FloatBVType X86_80Float)
|
||||||
|
|
||||||
instance Show (X87_FloatType tp) where
|
instance Show (X87_FloatType tp) where
|
||||||
show X87_Single = "single"
|
show X87_Single = "single"
|
||||||
@ -513,7 +513,7 @@ data X86PrimFn f tp where
|
|||||||
-- Guaranteed to not throw exception or have side effects.
|
-- Guaranteed to not throw exception or have side effects.
|
||||||
X87_Extend :: !(SSE_FloatType tp)
|
X87_Extend :: !(SSE_FloatType tp)
|
||||||
-> !(f tp)
|
-> !(f tp)
|
||||||
-> X86PrimFn f (BVType 80)
|
-> X86PrimFn f (FloatBVType X86_80Float)
|
||||||
|
|
||||||
-- | This performs an 80-bit floating point add.
|
-- | This performs an 80-bit floating point add.
|
||||||
--
|
--
|
||||||
@ -529,9 +529,9 @@ data X86PrimFn f tp where
|
|||||||
-- * @#U@ Result is too small for destination format.
|
-- * @#U@ Result is too small for destination format.
|
||||||
-- * @#O@ Result is too large for destination format.
|
-- * @#O@ Result is too large for destination format.
|
||||||
-- * @#P@ Value cannot be represented exactly in destination format.
|
-- * @#P@ Value cannot be represented exactly in destination format.
|
||||||
X87_FAdd :: !(f (FloatType X86_80Float))
|
X87_FAdd :: !(f (FloatBVType X86_80Float))
|
||||||
-> !(f (FloatType X86_80Float))
|
-> !(f (FloatBVType X86_80Float))
|
||||||
-> X86PrimFn f (TupleType [FloatType X86_80Float, BoolType])
|
-> X86PrimFn f (TupleType [FloatBVType X86_80Float, BoolType])
|
||||||
|
|
||||||
-- | This performs an 80-bit floating point subtraction.
|
-- | This performs an 80-bit floating point subtraction.
|
||||||
--
|
--
|
||||||
@ -547,9 +547,9 @@ data X86PrimFn f tp where
|
|||||||
-- * @#U@ Result is too small for destination format.
|
-- * @#U@ Result is too small for destination format.
|
||||||
-- * @#O@ Result is too large for destination format.
|
-- * @#O@ Result is too large for destination format.
|
||||||
-- * @#P@ Value cannot be represented exactly in destination format.
|
-- * @#P@ Value cannot be represented exactly in destination format.
|
||||||
X87_FSub :: !(f (FloatType X86_80Float))
|
X87_FSub :: !(f (FloatBVType X86_80Float))
|
||||||
-> !(f (FloatType X86_80Float))
|
-> !(f (FloatBVType X86_80Float))
|
||||||
-> X86PrimFn f (TupleType [FloatType X86_80Float, BoolType])
|
-> X86PrimFn f (TupleType [FloatBVType X86_80Float, BoolType])
|
||||||
|
|
||||||
-- | This performs an 80-bit floating point multiply.
|
-- | This performs an 80-bit floating point multiply.
|
||||||
--
|
--
|
||||||
@ -565,9 +565,9 @@ data X86PrimFn f tp where
|
|||||||
-- * @#U@ Result is too small for destination format.
|
-- * @#U@ Result is too small for destination format.
|
||||||
-- * @#O@ Result is too large for destination format.
|
-- * @#O@ Result is too large for destination format.
|
||||||
-- * @#P@ Value cannot be represented exactly in destination format.
|
-- * @#P@ Value cannot be represented exactly in destination format.
|
||||||
X87_FMul :: !(f (FloatType X86_80Float))
|
X87_FMul :: !(f (FloatBVType X86_80Float))
|
||||||
-> !(f (FloatType X86_80Float))
|
-> !(f (FloatBVType X86_80Float))
|
||||||
-> X86PrimFn f (TupleType [FloatType X86_80Float, BoolType])
|
-> X86PrimFn f (TupleType [FloatBVType X86_80Float, BoolType])
|
||||||
|
|
||||||
-- | This rounds a floating number to single or double precision.
|
-- | This rounds a floating number to single or double precision.
|
||||||
--
|
--
|
||||||
@ -583,7 +583,7 @@ data X86PrimFn f tp where
|
|||||||
-- In the #P case, the C1 register will be set 1 if rounding up,
|
-- In the #P case, the C1 register will be set 1 if rounding up,
|
||||||
-- and 0 otherwise.
|
-- and 0 otherwise.
|
||||||
X87_FST :: !(SSE_FloatType tp)
|
X87_FST :: !(SSE_FloatType tp)
|
||||||
-> !(f (BVType 80))
|
-> !(f (FloatBVType X86_80Float))
|
||||||
-> X86PrimFn f tp
|
-> X86PrimFn f tp
|
||||||
|
|
||||||
-- | Unary operation on a vector. Should have no side effects.
|
-- | Unary operation on a vector. Should have no side effects.
|
||||||
|
@ -519,7 +519,7 @@ data Location addr (tp :: Type) where
|
|||||||
-- top, so X87Register 0 is the top, X87Register 1 is the second,
|
-- top, so X87Register 0 is the top, X87Register 1 is the second,
|
||||||
-- and so forth.
|
-- and so forth.
|
||||||
X87StackRegister :: !Int
|
X87StackRegister :: !Int
|
||||||
-> Location addr (FloatType X86_80Float)
|
-> Location addr (FloatBVType X86_80Float)
|
||||||
|
|
||||||
------------------------------------------------------------------------
|
------------------------------------------------------------------------
|
||||||
-- Location
|
-- Location
|
||||||
@ -743,14 +743,13 @@ c2_loc = fullRegister R.X87_C2
|
|||||||
c3_loc = fullRegister R.X87_C3
|
c3_loc = fullRegister R.X87_C3
|
||||||
|
|
||||||
-- | Maps float info repr to associated MemRepr.
|
-- | Maps float info repr to associated MemRepr.
|
||||||
floatMemRepr :: FloatInfoRepr flt -> MemRepr (FloatType flt)
|
floatMemRepr :: FloatInfoRepr fi -> MemRepr (FloatBVType fi)
|
||||||
floatMemRepr fir =
|
floatMemRepr fi | LeqProof <- floatInfoBytesIsPos fi =
|
||||||
case floatInfoBytesIsPos fir of
|
BVMemRepr (floatInfoBytes fi) LittleEndian
|
||||||
LeqProof -> BVMemRepr (floatInfoBytes fir) LittleEndian
|
|
||||||
|
|
||||||
-- | Tuen an address into a location of size @n
|
-- | Tuen an address into a location of size @n
|
||||||
mkFPAddr :: FloatInfoRepr flt -> addr -> Location addr (FloatType flt)
|
mkFPAddr :: FloatInfoRepr fi -> addr -> Location addr (FloatBVType fi)
|
||||||
mkFPAddr fir addr = MemoryAddr addr (floatMemRepr fir)
|
mkFPAddr fi addr = MemoryAddr addr (floatMemRepr fi)
|
||||||
|
|
||||||
-- | Return MMX register corresponding to x87 register.
|
-- | Return MMX register corresponding to x87 register.
|
||||||
--
|
--
|
||||||
@ -1629,7 +1628,7 @@ getSegmentBase seg =
|
|||||||
|
|
||||||
-- | X87 support --- these both affect the register stack for the
|
-- | X87 support --- these both affect the register stack for the
|
||||||
-- x87 state.
|
-- x87 state.
|
||||||
x87Push :: Expr ids (FloatType X86_80Float) -> X86Generator st ids ()
|
x87Push :: Expr ids (FloatBVType X86_80Float) -> X86Generator st ids ()
|
||||||
x87Push e = do
|
x87Push e = do
|
||||||
v <- eval e
|
v <- eval e
|
||||||
topv <- getX87Top
|
topv <- getX87Top
|
||||||
|
@ -1549,9 +1549,9 @@ def_fstX mnem doPop = defUnary mnem $ \_ val -> do
|
|||||||
|
|
||||||
type X87BinOp
|
type X87BinOp
|
||||||
= forall f
|
= forall f
|
||||||
. f (FloatType X86_80Float)
|
. f (FloatBVType X86_80Float)
|
||||||
-> f (FloatType X86_80Float)
|
-> f (FloatBVType X86_80Float)
|
||||||
-> X86PrimFn f (TupleType [FloatType X86_80Float, BoolType])
|
-> X86PrimFn f (TupleType [FloatBVType X86_80Float, BoolType])
|
||||||
|
|
||||||
execX87BinOp :: X87BinOp
|
execX87BinOp :: X87BinOp
|
||||||
-> Location (Addr ids) (BVType 80)
|
-> Location (Addr ids) (BVType 80)
|
||||||
|
Loading…
Reference in New Issue
Block a user