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Remove Proxy in Sym instances.
[haskell/symantic.git] / symantic / Language / Symantic / Interpreting / Dup.hs
1 {-# LANGUAGE AllowAmbiguousTypes #-}
2 {-# LANGUAGE ConstraintKinds #-}
3 -- | Interpreter to duplicate the representation of an expression
4 -- in order to evaluate it with different interpreters.
5 --
6 -- NOTE: this is a more verbose, less clear,
7 -- and maybe less efficient alternative
8 -- to maintaining the universal polymorphism of @term@
9 -- at parsing time as done with 'Term';
10 -- it is mainly here for the sake of curiosity.
11 module Language.Symantic.Interpreting.Dup where
12
13 -- | Interpreter's data.
14 data Dup term1 term2 a
15 = Dup
16 { dup_1 :: term1 a
17 , dup_2 :: term2 a
18 }
19
20 dup0
21 :: (cl r, cl s)
22 => (forall term. cl term => term a)
23 -> Dup r s a
24 dup0 f = f `Dup` f
25
26 dup1
27 :: (cl r, cl s)
28 => (forall term. cl term => term a -> term b)
29 -> Dup r s a
30 -> Dup r s b
31 dup1 f (a1 `Dup` a2) =
32 f a1 `Dup` f a2
33
34 dup2
35 :: (cl r, cl s)
36 => (forall term. cl term => term a -> term b -> term c)
37 -> Dup r s a
38 -> Dup r s b
39 -> Dup r s c
40 dup2 f (a1 `Dup` a2) (b1 `Dup` b2) =
41 f a1 b1 `Dup` f a2 b2
42
43 dup3
44 :: (cl r, cl s)
45 => (forall term. cl term => term a -> term b -> term c -> term d)
46 -> Dup r s a
47 -> Dup r s b
48 -> Dup r s c
49 -> Dup r s d
50 dup3 f (a1 `Dup` a2) (b1 `Dup` b2) (c1 `Dup` c2) =
51 f a1 b1 c1 `Dup` f a2 b2 c2