{-# LANGUAGE Safe #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE Rank2Types #-}
module Copilot.Language.Stream
( Stream (..)
, Arg (..)
, StructArg (..)
) where
import Copilot.Core (Typed, typeOf)
import Copilot.Core.Error
import qualified Copilot.Core as Core
import Copilot.Language.Prelude
import qualified Prelude as P
data Stream :: * -> * where
Append :: Typed a
=> [a] -> Maybe (Stream Bool) -> Stream a -> Stream a
Const :: Typed a => a -> Stream a
Drop :: Typed a
=> Int -> Stream a -> Stream a
Extern :: Typed a
=> String -> Maybe [a] -> Stream a
ExternFun :: Typed a
=> String -> [Arg] -> Maybe (Stream a) -> Stream a
Local :: (Typed a, Typed b)
=> Stream a -> (Stream a -> Stream b) -> Stream b
Var :: Typed a
=> String -> Stream a
Op1 :: (Typed a, Typed b)
=> Core.Op1 a b -> Stream a -> Stream b
Op2 :: (Typed a, Typed b, Typed c)
=> Core.Op2 a b c -> Stream a -> Stream b -> Stream c
Op3 :: (Typed a, Typed b, Typed c, Typed d)
=> Core.Op3 a b c d -> Stream a -> Stream b -> Stream c -> Stream d
Label :: Typed a => String -> Stream a -> Stream a
data Arg where
Arg :: Typed a => Stream a -> Arg
data StructArg = StructArg { name_ :: String, arg' :: Arg }
instance Show (Stream a) where
show _ = "Stream"
instance P.Eq (Stream a) where
(==) = badUsage "'Prelude.(==)' isn't implemented for streams!"
(/=) = badUsage "'Prelude.(/=)' isn't implemented for streams!"
instance (Typed a, P.Eq a, Num a) => Num (Stream a) where
(Const x) + (Const y) = Const (x + y)
(Const 0) + y = y
x + (Const 0) = x
x + y = Op2 (Core.Add typeOf) x y
(Const x) - (Const y) = Const (x - y)
x - (Const 0) = x
x - y = Op2 (Core.Sub typeOf) x y
(Const x) * (Const y) = Const (x * y)
(Const 0) * _ = Const 0
_ * (Const 0) = Const 0
(Const 1) * y = y
x * (Const 1) = x
x * y = Op2 (Core.Mul typeOf) x y
abs (Const x) = Const (abs x)
abs x = Op1 (Core.Abs typeOf) x
signum (Const x) = Const (signum x)
signum x = Op1 (Core.Sign typeOf) x
fromInteger = Const . fromInteger
instance (Typed a, P.Eq a, Fractional a) => Fractional (Stream a) where
(/) = Op2 (Core.Fdiv typeOf)
recip (Const x) = Const (recip x)
recip x = Op1 (Core.Recip typeOf) x
fromRational = Const . fromRational
instance (Typed a, Eq a, Floating a) => Floating (Stream a) where
pi = Const pi
exp = Op1 (Core.Exp typeOf)
sqrt = Op1 (Core.Sqrt typeOf)
log = Op1 (Core.Log typeOf)
(**) = Op2 (Core.Pow typeOf)
logBase = Op2 (Core.Logb typeOf)
sin = Op1 (Core.Sin typeOf)
tan = Op1 (Core.Tan typeOf)
cos = Op1 (Core.Cos typeOf)
asin = Op1 (Core.Asin typeOf)
atan = Op1 (Core.Atan typeOf)
acos = Op1 (Core.Acos typeOf)
sinh = Op1 (Core.Sinh typeOf)
tanh = Op1 (Core.Tanh typeOf)
cosh = Op1 (Core.Cosh typeOf)
asinh = Op1 (Core.Asinh typeOf)
atanh = Op1 (Core.Atanh typeOf)
acosh = Op1 (Core.Acosh typeOf)