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||| Raw syntax for terms. This is before eliminating names.
module Obs.Syntax

import Obs.Sort
import Text.Bounded
import Text.PrettyPrint.Prettyprinter

%default total

-- Definition ------------------------------------------------------------------

public export
data Syntax : Type where
  Var    : Bounds -> String -> Syntax
  -- Sorts
  Sort   : Bounds -> Sort -> Syntax
  -- True
  Top    : Bounds -> Syntax
  Point  : Bounds -> Syntax
  -- False
  Bottom : Bounds -> Syntax
  Absurd : Bounds -> Syntax -> Syntax -> Syntax

public export
record Definition where
  constructor MkDefinition
  bounds : Bounds -- of the name
  name   : String
  ty     : Syntax
  tm     : Syntax

-- Pretty Print ----------------------------------------------------------------

export
Pretty Syntax where
  prettyPrec d (Var x str) = pretty str
  prettyPrec d (Sort x s) = prettyPrec d s
  prettyPrec d (Top x) = pretty "()"
  prettyPrec d (Point x) = pretty "_"
  prettyPrec d (Bottom x) = pretty "Void"
  prettyPrec d (Absurd x a t) =
    parenthesise (d > Open) $
    group $
    fillSep [pretty "absurd", prettyPrec App a, prettyPrec App t]

export
Pretty Definition where
  pretty def = group $
    pretty def.name <++> colon <+> softline <+> pretty def.ty <+> hardline <+>
    pretty def.name <++> equals <+> softline <+> pretty def.tm