syntactic-1.16.1: Generic abstract syntax, and utilities for embedded languages

Safe HaskellNone
LanguageHaskell2010

Language.Syntactic.Sugar

Description

"Syntactic sugar"

Synopsis

Documentation

class Syntactic a where Source

It is usually assumed that (desugar (sugar a)) has the same meaning as a.

Associated Types

type Domain a :: * -> * Source

type Internal a Source

Methods

desugar :: a -> ASTF (Domain a) (Internal a) Source

sugar :: ASTF (Domain a) (Internal a) -> a Source

Instances

(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, IsHODomain dom p pVar, p (Internal a -> Internal b), p (Internal a), pVar (Internal a)) => Syntactic (a -> b) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, InjectC Tuple dom (Internal a, Internal b), InjectC Select dom (Internal a), InjectC Select dom (Internal b)) => Syntactic (a, b) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, TupleSat dom p, p (Internal a, Internal b), p (Internal a), p (Internal b), InjectC ((:||) Tuple p) dom (Internal a, Internal b), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b)) => Syntactic (a, b) 
Syntactic (ASTF dom a) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, TupleSat dom p, p (Internal a, Internal b, Internal c), p (Internal a), p (Internal b), p (Internal c), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c)) => Syntactic (a, b, c) 
(Syntactic a, (~) (* -> *) (Domain a) dom, IsHODomain dom (Typeable *) pVar, InjectC (MONAD m) dom (m (Internal a)), Monad m, Typeable (* -> *) m, Typeable * (Internal a), pVar (Internal a)) => Syntactic (Mon dom m a) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d), p (Internal a), p (Internal b), p (Internal c), p (Internal d), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d)) => Syntactic (a, b, c, d) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e)) => Syntactic (a, b, c, d, e) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f)) => Syntactic (a, b, c, d, e, f) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g)) => Syntactic (a, b, c, d, e, f, g) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h)) => Syntactic (a, b, c, d, e, f, g, h) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i)) => Syntactic (a, b, c, d, e, f, g, h, i) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j)) => Syntactic (a, b, c, d, e, f, g, h, i, j) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, Syntactic k, (~) (* -> *) (Domain k) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), p (Internal k), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j), InjectC ((:||) Select p) dom (Internal k)) => Syntactic (a, b, c, d, e, f, g, h, i, j, k) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, Syntactic k, (~) (* -> *) (Domain k) dom, Syntactic l, (~) (* -> *) (Domain l) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), p (Internal k), p (Internal l), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j), InjectC ((:||) Select p) dom (Internal k), InjectC ((:||) Select p) dom (Internal l)) => Syntactic (a, b, c, d, e, f, g, h, i, j, k, l) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, Syntactic k, (~) (* -> *) (Domain k) dom, Syntactic l, (~) (* -> *) (Domain l) dom, Syntactic m, (~) (* -> *) (Domain m) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), p (Internal k), p (Internal l), p (Internal m), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j), InjectC ((:||) Select p) dom (Internal k), InjectC ((:||) Select p) dom (Internal l), InjectC ((:||) Select p) dom (Internal m)) => Syntactic (a, b, c, d, e, f, g, h, i, j, k, l, m) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, Syntactic k, (~) (* -> *) (Domain k) dom, Syntactic l, (~) (* -> *) (Domain l) dom, Syntactic m, (~) (* -> *) (Domain m) dom, Syntactic n, (~) (* -> *) (Domain n) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m, Internal n), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), p (Internal k), p (Internal l), p (Internal m), p (Internal n), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m, Internal n), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j), InjectC ((:||) Select p) dom (Internal k), InjectC ((:||) Select p) dom (Internal l), InjectC ((:||) Select p) dom (Internal m), InjectC ((:||) Select p) dom (Internal n)) => Syntactic (a, b, c, d, e, f, g, h, i, j, k, l, m, n) 
(Syntactic a, (~) (* -> *) (Domain a) dom, Syntactic b, (~) (* -> *) (Domain b) dom, Syntactic c, (~) (* -> *) (Domain c) dom, Syntactic d, (~) (* -> *) (Domain d) dom, Syntactic e, (~) (* -> *) (Domain e) dom, Syntactic f, (~) (* -> *) (Domain f) dom, Syntactic g, (~) (* -> *) (Domain g) dom, Syntactic h, (~) (* -> *) (Domain h) dom, Syntactic i, (~) (* -> *) (Domain i) dom, Syntactic j, (~) (* -> *) (Domain j) dom, Syntactic k, (~) (* -> *) (Domain k) dom, Syntactic l, (~) (* -> *) (Domain l) dom, Syntactic m, (~) (* -> *) (Domain m) dom, Syntactic n, (~) (* -> *) (Domain n) dom, Syntactic o, (~) (* -> *) (Domain o) dom, TupleSat dom p, p (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m, Internal n, Internal o), p (Internal a), p (Internal b), p (Internal c), p (Internal d), p (Internal e), p (Internal f), p (Internal g), p (Internal h), p (Internal i), p (Internal j), p (Internal k), p (Internal l), p (Internal m), p (Internal n), p (Internal o), InjectC ((:||) Tuple p) dom (Internal a, Internal b, Internal c, Internal d, Internal e, Internal f, Internal g, Internal h, Internal i, Internal j, Internal k, Internal l, Internal m, Internal n, Internal o), InjectC ((:||) Select p) dom (Internal a), InjectC ((:||) Select p) dom (Internal b), InjectC ((:||) Select p) dom (Internal c), InjectC ((:||) Select p) dom (Internal d), InjectC ((:||) Select p) dom (Internal e), InjectC ((:||) Select p) dom (Internal f), InjectC ((:||) Select p) dom (Internal g), InjectC ((:||) Select p) dom (Internal h), InjectC ((:||) Select p) dom (Internal i), InjectC ((:||) Select p) dom (Internal j), InjectC ((:||) Select p) dom (Internal k), InjectC ((:||) Select p) dom (Internal l), InjectC ((:||) Select p) dom (Internal m), InjectC ((:||) Select p) dom (Internal n), InjectC ((:||) Select p) dom (Internal o)) => Syntactic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) 

resugar :: (Syntactic a, Syntactic b, Domain a ~ Domain b, Internal a ~ Internal b) => a -> b Source

Syntactic type casting

class SyntacticN a internal | a -> internal where Source

N-ary syntactic functions

desugarN has any type of the form:

desugarN ::
    ( Syntactic a
    , Syntactic b
    , ...
    , Syntactic x
    , Domain a ~ dom
    , Domain b ~ dom
    , ...
    , Domain x ~ dom
    ) => (a -> b -> ... -> x)
      -> (  ASTF dom (Internal a)
         -> ASTF dom (Internal b)
         -> ...
         -> ASTF dom (Internal x)
         )

...and vice versa for sugarN.

Methods

desugarN :: a -> internal Source

sugarN :: internal -> a Source

Instances

(Syntactic a, (~) (* -> *) (Domain a) dom, (~) * ia (AST dom (Full (Internal a)))) => SyntacticN a ia 
(Syntactic a, (~) (* -> *) (Domain a) dom, (~) * ia (Internal a), SyntacticN b ib) => SyntacticN (a -> b) (AST dom (Full ia) -> ib) 

sugarSym :: (sym :<: AST dom, ApplySym sig b dom, SyntacticN c b) => sym sig -> c Source

"Sugared" symbol application

sugarSym has any type of the form:

sugarSym ::
    ( expr :<: AST dom
    , Syntactic a dom
    , Syntactic b dom
    , ...
    , Syntactic x dom
    ) => expr (Internal a :-> Internal b :-> ... :-> Full (Internal x))
      -> (a -> b -> ... -> x)

sugarSymC :: (InjectC sym (AST dom) (DenResult sig), ApplySym sig b dom, SyntacticN c b) => sym sig -> c Source

"Sugared" symbol application

sugarSymC has any type of the form:

sugarSymC ::
    ( InjectC expr (AST dom) (Internal x)
    , Syntactic a dom
    , Syntactic b dom
    , ...
    , Syntactic x dom
    ) => expr (Internal a :-> Internal b :-> ... :-> Full (Internal x))
      -> (a -> b -> ... -> x)