Language/Symantic/Expr/Ord.hs

   1 {-# LANGUAGE DefaultSignatures #-}
   2 {-# LANGUAGE FlexibleContexts #-}
   3 {-# LANGUAGE FlexibleInstances #-}
   4 {-# LANGUAGE MultiParamTypeClasses #-}
   5 {-# LANGUAGE OverloadedStrings #-}
   6 {-# LANGUAGE ScopedTypeVariables #-}
   7 {-# LANGUAGE TypeFamilies #-}
   8 {-# LANGUAGE TypeOperators #-}
   9 {-# OPTIONS_GHC -fno-warn-orphans #-}
  10 -- | Expression for 'Ord'.
  11 module Language.Symantic.Expr.Ord where
  12
  13 import Control.Monad
  14 import Data.Monoid
  15 import qualified Data.Ord as Ord
  16 import Data.Proxy (Proxy(..))
  17 import Data.Type.Equality ((:~:)(Refl))
  18 import Prelude hiding (compare)
  19
  20 import Language.Symantic.Type
  21 import Language.Symantic.Repr
  22 import Language.Symantic.Expr.Root
  23 import Language.Symantic.Expr.Error
  24 import Language.Symantic.Expr.From
  25 import Language.Symantic.Expr.Eq
  26 import Language.Symantic.Trans.Common
  27
  28 -- * Class 'Sym_Ord'
  29 -- | Symantic.
  30 class Sym_Eq repr => Sym_Ord repr where
  31         compare :: Ord a => repr a -> repr a -> repr Ordering
  32         default compare :: (Trans t repr, Ord a) => t repr a -> t repr a -> t repr Ordering
  33         compare = trans_map2 compare
  34 instance Sym_Ord Repr_Host where
  35         compare = liftM2 Ord.compare
  36 instance Sym_Ord Repr_Text where
  37         compare (Repr_Text x) (Repr_Text y) =
  38                 Repr_Text $ \p v ->
  39                         let p' = precedence_Eq in
  40                         paren p p' $
  41                         "compare " <> x p' v <> " " <> y p' v
  42 instance
  43  ( Sym_Ord r1
  44  , Sym_Ord r2
  45  ) => Sym_Ord (Dup r1 r2) where
  46         compare (x1 `Dup` x2) (y1 `Dup` y2) =
  47                 compare x1 y1 `Dup` compare x2 y2
  48
  49 -- * Type 'Expr_Ord'
  50 -- | Expression.
  51 data Expr_Ord (root:: *)
  52 type instance Root_of_Expr      (Expr_Ord root)      = root
  53 type instance Type_of_Expr      (Expr_Ord root)      = Type_Ordering
  54 type instance Sym_of_Expr       (Expr_Ord root) repr = (Sym_Ord repr)
  55 type instance Error_of_Expr ast (Expr_Ord root)      = No_Error_Expr
  56
  57 compare_from
  58  :: forall root ty ast hs ret.
  59  ( ty ~ Type_Root_of_Expr (Expr_Ord root)
  60  , Type0_Eq ty
  61  , Expr_From ast root
  62  , Type0_Lift Type_Ordering (Type_of_Expr root)
  63  , Error_Expr_Lift (Error_Expr (Error_of_Type ast ty) ty ast)
  64                    (Error_of_Expr ast root)
  65  , Root_of_Expr root ~ root
  66  , Type0_Constraint Ord ty
  67  ) => ast -> ast
  68  -> ExprFrom ast (Expr_Ord root) hs ret
  69 compare_from ast_x ast_y ex ast ctx k =
  70         expr_from (Proxy::Proxy root) ast_x ctx $
  71          \(ty_x::ty h_x) (Forall_Repr_with_Context x) ->
  72         expr_from (Proxy::Proxy root) ast_y ctx $
  73          \(ty_y::ty h_y) (Forall_Repr_with_Context y) ->
  74         check_type0_eq ex ast ty_x ty_y $ \Refl ->
  75         check_type0_constraint ex (Proxy::Proxy Ord) ast ty_x $ \Dict ->
  76         k type_ordering $ Forall_Repr_with_Context $
  77          \c -> x c `compare` y c