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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 : String -> Syntax
-- Sorts
Sort : Sort -> Syntax
-- Dependent Products
Pi : WithBounds String -> WithBounds Syntax -> WithBounds Syntax -> Syntax
Lambda : WithBounds String -> WithBounds Syntax -> Syntax
App : WithBounds Syntax -> WithBounds Syntax -> Syntax
-- Dependent Sums
Sigma : WithBounds String -> WithBounds Syntax -> WithBounds Syntax -> Syntax
Pair : WithBounds Syntax -> WithBounds Syntax -> Syntax
Fst : WithBounds Syntax -> Syntax
Snd : WithBounds Syntax -> Syntax
-- Booleans
Bool : Syntax
True : Syntax
False : Syntax
If : WithBounds String -> WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> Syntax
-- True
Top : Syntax
Point : Syntax
-- False
Bottom : Syntax
Absurd : WithBounds Syntax -> Syntax
-- Equality
Equal : WithBounds Syntax -> WithBounds Syntax -> Syntax
Refl : WithBounds Syntax -> Syntax
Transp : WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> Syntax
Cast : WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> WithBounds Syntax -> Syntax
CastId : WithBounds Syntax -> Syntax
public export
record Definition where
constructor MkDefinition
name : WithBounds String
ty : WithBounds Syntax
tm : WithBounds Syntax
-- Pretty Print ----------------------------------------------------------------
prettyPrec : Prec -> Syntax -> Doc ann
prettyPrecBounds : Prec -> WithBounds Syntax -> Doc ann
prettyPrec d (Var var) = pretty var
prettyPrec d (Sort s) = prettyPrec d s
prettyPrec d (Pi var a b) =
parenthesise (d > Open) $
group $
parens (pretty var.val <++> colon <+> softline <+> align (prettyPrecBounds Open a)) <++>
pretty "->" <+> line <+>
align (prettyPrecBounds Open b)
prettyPrec d (Lambda var t) =
parenthesise (d > Open) $
group $
backslash <+> pretty var.val <++>
pretty "=>" <+> line <+>
align (prettyPrecBounds Open t)
prettyPrec d (App t u) =
parenthesise (d >= App) $
group $
vsep [prettyPrecBounds Open t, prettyPrecBounds App u]
prettyPrec d (Sigma var a b) =
parenthesise (d >= App) $
group $
parens (pretty var.val <++> colon <+> softline <+> align (prettyPrecBounds Open a)) <++>
pretty "**" <+> line <+>
align (prettyPrecBounds Open b)
prettyPrec d (Pair t u) =
angles $
group $
neutral <++> prettyPrecBounds Open t <+> comma <+> line <+> prettyPrecBounds Open u <++> neutral
prettyPrec d (Fst t) =
parenthesise (d >= App) $
group $
vsep [pretty "fst", prettyPrecBounds App t]
prettyPrec d (Snd t) =
parenthesise (d >= App) $
group $
vsep [pretty "snd", prettyPrecBounds App t]
prettyPrec d Bool = pretty "Bool"
prettyPrec d True = pretty "True"
prettyPrec d False = pretty "False"
prettyPrec d (If var a t f g) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "if"
, parens $
group $
backslash <+> pretty var.val <++>
pretty "=>" <+> line <+>
align (prettyPrecBounds Open a)
, prettyPrecBounds App t
, prettyPrecBounds App f
, prettyPrecBounds App g
]
prettyPrec d Top = pretty "()"
prettyPrec d Point = pretty "tt"
prettyPrec d Bottom = pretty "Void"
prettyPrec d (Absurd t) =
parenthesise (d >= App) $
group $
vsep [pretty "absurd", prettyPrecBounds App t]
prettyPrec d (Equal t u) =
parenthesise (d >= Equal) $
group $
prettyPrecBounds Equal t <++> pretty "~" <+> line <+> prettyPrecBounds Equal u
prettyPrec d (Refl t) =
parenthesise (d >= App) $
group $
vsep [pretty "refl", prettyPrecBounds App t]
prettyPrec d (Transp a t u t' e) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "transp"
, prettyPrecBounds App a
, prettyPrecBounds App t
, prettyPrecBounds App u
, prettyPrecBounds App t'
, prettyPrecBounds App e
]
prettyPrec d (Cast a b e t) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "cast"
, prettyPrecBounds App a
, prettyPrecBounds App b
, prettyPrecBounds App e
, prettyPrecBounds App t
]
prettyPrec d (CastId t) =
parenthesise (d >= App) $
group $
vsep [pretty "castRefl", prettyPrecBounds App t]
prettyPrecBounds d (MkBounded val _ _) = prettyPrec d val
export
Pretty Syntax where
prettyPrec = Syntax.prettyPrec
export
Pretty Definition where
pretty def = group $
pretty def.name.val <++> colon <+> softline <+> pretty def.ty.val <+> hardline <+>
pretty def.name.val <++> equals <+> softline <+> pretty def.tm.val
|
