{-# LANGUAGE AllowAmbiguousTypes #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE UndecidableInstances #-}
module Grisette.Internal.Unified.Class.UnifiedFromIntegral
( UnifiedFromIntegral (..),
symFromIntegral,
)
where
import Data.Type.Bool (If)
import GHC.TypeNats (KnownNat, type (<=))
import Grisette.Internal.Core.Data.Class.SymFromIntegral (SymFromIntegral)
import qualified Grisette.Internal.Core.Data.Class.SymFromIntegral as SymFromIntegral
import Grisette.Internal.SymPrim.AlgReal (AlgReal)
import Grisette.Internal.SymPrim.BV (IntN, WordN)
import Grisette.Internal.SymPrim.FP (FP, ValidFP)
import Grisette.Internal.SymPrim.SymAlgReal (SymAlgReal)
import Grisette.Internal.SymPrim.SymBV (SymIntN, SymWordN)
import Grisette.Internal.SymPrim.SymFP (SymFP)
import Grisette.Internal.SymPrim.SymInteger (SymInteger)
import Grisette.Internal.Unified.EvalModeTag (EvalModeTag (C, S), IsConMode)
import Grisette.Internal.Unified.Util (DecideEvalMode, withMode)
symFromIntegral ::
forall mode a b. (DecideEvalMode mode, UnifiedFromIntegral mode a b) => a -> b
symFromIntegral :: forall (mode :: EvalModeTag) a b.
(DecideEvalMode mode, UnifiedFromIntegral mode a b) =>
a -> b
symFromIntegral a
a =
forall (mode :: EvalModeTag) r.
DecideEvalMode mode =>
((mode ~ 'C) => r) -> ((mode ~ 'S) => r) -> r
withMode @mode
(forall (mode :: EvalModeTag) a b r.
UnifiedFromIntegral mode a b =>
(If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
r)
-> r
withBaseFromIntegral @mode @a @b ((If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
b)
-> b)
-> (If
(IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
b)
-> b
forall a b. (a -> b) -> a -> b
$ a -> b
forall a b. (Integral a, Num b) => a -> b
fromIntegral a
a)
(forall (mode :: EvalModeTag) a b r.
UnifiedFromIntegral mode a b =>
(If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
r)
-> r
withBaseFromIntegral @mode @a @b ((If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
b)
-> b)
-> (If
(IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
b)
-> b
forall a b. (a -> b) -> a -> b
$ a -> b
forall from to. SymFromIntegral from to => from -> to
SymFromIntegral.symFromIntegral a
a)
class UnifiedFromIntegral (mode :: EvalModeTag) a b where
withBaseFromIntegral ::
((If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b)) => r) -> r
instance
{-# INCOHERENT #-}
( DecideEvalMode mode,
(If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b))
) =>
UnifiedFromIntegral mode a b
where
withBaseFromIntegral :: forall r.
(If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) =>
r)
-> r
withBaseFromIntegral If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) => r
r = r
If (IsConMode mode) (Integral a, Num b) (SymFromIntegral a b) => r
r
instance UnifiedFromIntegral 'C Integer AlgReal where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral Integer, Num AlgReal)
(SymFromIntegral Integer AlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral Integer, Num AlgReal)
(SymFromIntegral Integer AlgReal) =>
r
r = r
If
(IsConMode 'C)
(Integral Integer, Num AlgReal)
(SymFromIntegral Integer AlgReal) =>
r
r
instance UnifiedFromIntegral 'C Integer Integer where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral Integer, Num Integer)
(SymFromIntegral Integer Integer) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral Integer, Num Integer)
(SymFromIntegral Integer Integer) =>
r
r = r
If
(IsConMode 'C)
(Integral Integer, Num Integer)
(SymFromIntegral Integer Integer) =>
r
r
instance (KnownNat n, 1 <= n) => UnifiedFromIntegral 'C Integer (IntN n) where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral Integer, Num (IntN n))
(SymFromIntegral Integer (IntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral Integer, Num (IntN n))
(SymFromIntegral Integer (IntN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral Integer, Num (IntN n))
(SymFromIntegral Integer (IntN n)) =>
r
r
instance
(KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'C Integer (WordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral Integer, Num (WordN n))
(SymFromIntegral Integer (WordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral Integer, Num (WordN n))
(SymFromIntegral Integer (WordN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral Integer, Num (WordN n))
(SymFromIntegral Integer (WordN n)) =>
r
r
instance (ValidFP eb sb) => UnifiedFromIntegral 'C Integer (FP eb sb) where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral Integer, Num (FP eb sb))
(SymFromIntegral Integer (FP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral Integer, Num (FP eb sb))
(SymFromIntegral Integer (FP eb sb)) =>
r
r = r
If
(IsConMode 'C)
(Integral Integer, Num (FP eb sb))
(SymFromIntegral Integer (FP eb sb)) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'C (IntN n') AlgReal
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (IntN n'), Num AlgReal)
(SymFromIntegral (IntN n') AlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (IntN n'), Num AlgReal)
(SymFromIntegral (IntN n') AlgReal) =>
r
r = r
If
(IsConMode 'C)
(Integral (IntN n'), Num AlgReal)
(SymFromIntegral (IntN n') AlgReal) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'C (IntN n') Integer
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (IntN n'), Num Integer)
(SymFromIntegral (IntN n') Integer) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (IntN n'), Num Integer)
(SymFromIntegral (IntN n') Integer) =>
r
r = r
If
(IsConMode 'C)
(Integral (IntN n'), Num Integer)
(SymFromIntegral (IntN n') Integer) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'C (IntN n') (IntN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (IntN n'), Num (IntN n))
(SymFromIntegral (IntN n') (IntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (IntN n'), Num (IntN n))
(SymFromIntegral (IntN n') (IntN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral (IntN n'), Num (IntN n))
(SymFromIntegral (IntN n') (IntN n)) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'C (IntN n') (WordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (IntN n'), Num (WordN n))
(SymFromIntegral (IntN n') (WordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (IntN n'), Num (WordN n))
(SymFromIntegral (IntN n') (WordN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral (IntN n'), Num (WordN n))
(SymFromIntegral (IntN n') (WordN n)) =>
r
r
instance
(KnownNat n', 1 <= n', ValidFP eb sb) =>
UnifiedFromIntegral 'C (IntN n') (FP eb sb)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (IntN n'), Num (FP eb sb))
(SymFromIntegral (IntN n') (FP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (IntN n'), Num (FP eb sb))
(SymFromIntegral (IntN n') (FP eb sb)) =>
r
r = r
If
(IsConMode 'C)
(Integral (IntN n'), Num (FP eb sb))
(SymFromIntegral (IntN n') (FP eb sb)) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'C (WordN n') AlgReal
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (WordN n'), Num AlgReal)
(SymFromIntegral (WordN n') AlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (WordN n'), Num AlgReal)
(SymFromIntegral (WordN n') AlgReal) =>
r
r = r
If
(IsConMode 'C)
(Integral (WordN n'), Num AlgReal)
(SymFromIntegral (WordN n') AlgReal) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'C (WordN n') Integer
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (WordN n'), Num Integer)
(SymFromIntegral (WordN n') Integer) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (WordN n'), Num Integer)
(SymFromIntegral (WordN n') Integer) =>
r
r = r
If
(IsConMode 'C)
(Integral (WordN n'), Num Integer)
(SymFromIntegral (WordN n') Integer) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'C (WordN n') (IntN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (WordN n'), Num (IntN n))
(SymFromIntegral (WordN n') (IntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (WordN n'), Num (IntN n))
(SymFromIntegral (WordN n') (IntN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral (WordN n'), Num (IntN n))
(SymFromIntegral (WordN n') (IntN n)) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'C (WordN n') (WordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (WordN n'), Num (WordN n))
(SymFromIntegral (WordN n') (WordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (WordN n'), Num (WordN n))
(SymFromIntegral (WordN n') (WordN n)) =>
r
r = r
If
(IsConMode 'C)
(Integral (WordN n'), Num (WordN n))
(SymFromIntegral (WordN n') (WordN n)) =>
r
r
instance
(KnownNat n', 1 <= n', ValidFP eb sb) =>
UnifiedFromIntegral 'C (WordN n') (FP eb sb)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'C)
(Integral (WordN n'), Num (FP eb sb))
(SymFromIntegral (WordN n') (FP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'C)
(Integral (WordN n'), Num (FP eb sb))
(SymFromIntegral (WordN n') (FP eb sb)) =>
r
r = r
If
(IsConMode 'C)
(Integral (WordN n'), Num (FP eb sb))
(SymFromIntegral (WordN n') (FP eb sb)) =>
r
r
instance UnifiedFromIntegral 'S SymInteger SymAlgReal where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral SymInteger, Num SymAlgReal)
(SymFromIntegral SymInteger SymAlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral SymInteger, Num SymAlgReal)
(SymFromIntegral SymInteger SymAlgReal) =>
r
r = r
If
(IsConMode 'S)
(Integral SymInteger, Num SymAlgReal)
(SymFromIntegral SymInteger SymAlgReal) =>
r
r
instance UnifiedFromIntegral 'S SymInteger SymInteger where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral SymInteger, Num SymInteger)
(SymFromIntegral SymInteger SymInteger) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral SymInteger, Num SymInteger)
(SymFromIntegral SymInteger SymInteger) =>
r
r = r
If
(IsConMode 'S)
(Integral SymInteger, Num SymInteger)
(SymFromIntegral SymInteger SymInteger) =>
r
r
instance (KnownNat n, 1 <= n) => UnifiedFromIntegral 'S SymInteger (SymIntN n) where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral SymInteger, Num (SymIntN n))
(SymFromIntegral SymInteger (SymIntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral SymInteger, Num (SymIntN n))
(SymFromIntegral SymInteger (SymIntN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral SymInteger, Num (SymIntN n))
(SymFromIntegral SymInteger (SymIntN n)) =>
r
r
instance
(KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'S SymInteger (SymWordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral SymInteger, Num (SymWordN n))
(SymFromIntegral SymInteger (SymWordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral SymInteger, Num (SymWordN n))
(SymFromIntegral SymInteger (SymWordN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral SymInteger, Num (SymWordN n))
(SymFromIntegral SymInteger (SymWordN n)) =>
r
r
instance (ValidFP eb sb) => UnifiedFromIntegral 'S SymInteger (SymFP eb sb) where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral SymInteger, Num (SymFP eb sb))
(SymFromIntegral SymInteger (SymFP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral SymInteger, Num (SymFP eb sb))
(SymFromIntegral SymInteger (SymFP eb sb)) =>
r
r = r
If
(IsConMode 'S)
(Integral SymInteger, Num (SymFP eb sb))
(SymFromIntegral SymInteger (SymFP eb sb)) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'S (SymIntN n') SymAlgReal
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymAlgReal)
(SymFromIntegral (SymIntN n') SymAlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymAlgReal)
(SymFromIntegral (SymIntN n') SymAlgReal) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymAlgReal)
(SymFromIntegral (SymIntN n') SymAlgReal) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'S (SymIntN n') SymInteger
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymInteger)
(SymFromIntegral (SymIntN n') SymInteger) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymInteger)
(SymFromIntegral (SymIntN n') SymInteger) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymIntN n'), Num SymInteger)
(SymFromIntegral (SymIntN n') SymInteger) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'S (SymIntN n') (SymIntN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymIntN n))
(SymFromIntegral (SymIntN n') (SymIntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymIntN n))
(SymFromIntegral (SymIntN n') (SymIntN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymIntN n))
(SymFromIntegral (SymIntN n') (SymIntN n)) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'S (SymIntN n') (SymWordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymWordN n))
(SymFromIntegral (SymIntN n') (SymWordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymWordN n))
(SymFromIntegral (SymIntN n') (SymWordN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymWordN n))
(SymFromIntegral (SymIntN n') (SymWordN n)) =>
r
r
instance
(KnownNat n', 1 <= n', ValidFP eb sb) =>
UnifiedFromIntegral 'S (SymIntN n') (SymFP eb sb)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymFP eb sb))
(SymFromIntegral (SymIntN n') (SymFP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymFP eb sb))
(SymFromIntegral (SymIntN n') (SymFP eb sb)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymIntN n'), Num (SymFP eb sb))
(SymFromIntegral (SymIntN n') (SymFP eb sb)) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'S (SymWordN n') SymAlgReal
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymAlgReal)
(SymFromIntegral (SymWordN n') SymAlgReal) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymAlgReal)
(SymFromIntegral (SymWordN n') SymAlgReal) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymAlgReal)
(SymFromIntegral (SymWordN n') SymAlgReal) =>
r
r
instance
(KnownNat n', 1 <= n') =>
UnifiedFromIntegral 'S (SymWordN n') SymInteger
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymInteger)
(SymFromIntegral (SymWordN n') SymInteger) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymInteger)
(SymFromIntegral (SymWordN n') SymInteger) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymWordN n'), Num SymInteger)
(SymFromIntegral (SymWordN n') SymInteger) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'S (SymWordN n') (SymIntN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymIntN n))
(SymFromIntegral (SymWordN n') (SymIntN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymIntN n))
(SymFromIntegral (SymWordN n') (SymIntN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymIntN n))
(SymFromIntegral (SymWordN n') (SymIntN n)) =>
r
r
instance
(KnownNat n', 1 <= n', KnownNat n, 1 <= n) =>
UnifiedFromIntegral 'S (SymWordN n') (SymWordN n)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymWordN n))
(SymFromIntegral (SymWordN n') (SymWordN n)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymWordN n))
(SymFromIntegral (SymWordN n') (SymWordN n)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymWordN n))
(SymFromIntegral (SymWordN n') (SymWordN n)) =>
r
r
instance
(KnownNat n', 1 <= n', ValidFP eb sb) =>
UnifiedFromIntegral 'S (SymWordN n') (SymFP eb sb)
where
withBaseFromIntegral :: forall r.
(If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymFP eb sb))
(SymFromIntegral (SymWordN n') (SymFP eb sb)) =>
r)
-> r
withBaseFromIntegral If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymFP eb sb))
(SymFromIntegral (SymWordN n') (SymFP eb sb)) =>
r
r = r
If
(IsConMode 'S)
(Integral (SymWordN n'), Num (SymFP eb sb))
(SymFromIntegral (SymWordN n') (SymFP eb sb)) =>
r
r